diff --git "a/data/dm_maths/full_data/10643_11255.jsonl" "b/data/dm_maths/full_data/10643_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10643_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 8291 = -830*x - 19099 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 7:16 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -187, -282, -379, -478, -579?\n\"Answer: -k**2 - 90*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t - 10 = 0. Let d = t - -12. Solve -2*x + d = k, -3*k + 4 = -0*k + 4*x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -16. Suppose 4*u + 4 = 0, 2*j + 12 = n*j - 2*u. Let z(r) = -r**2 - 7*r. Let q be z(-5). Is j less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (48\/15)\/(4\/(-20)). Suppose -3*g + a = -4*f, -2*f - 2*g - 4 = -0*f. Sort f, 0, -8, 1 in descending order.\nAnswer: 1, 0, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/6 - y**2 - 5*y\/6 = 0 for y.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232341 + -11?\nAnswer: 1232330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23653 + 20181 = -28*m. What is the highest common factor of 4154 and m?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 3*x**2 + 2*x - 2. Let a be o(2). Let i = a + 47. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233633.\nAnswer: 167, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(4956\/(-2604)) - 139\/4.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 50?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**3 - 129*f**2 + 107*f + 618. Calculate u(-19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -25\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 - (-62)\/12. Let k(b) = 15*b**2 - 12*b - 6. Let w(s) = -29*s**2 + 23*s + 11. Let l(d) = m*k(d) + 3*w(d). Factor l(u).\nAnswer: -3*(u - 1)*(4*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.984 - 559.\nAnswer: -558.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528066 and 5544?\nAnswer: 2112264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 712 - 125. What is the first derivative of -70*r**3 + 540 + 0*r**2 + 0*r**2 - t wrt r?\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*f - 17. Suppose -3*u - 153 = -8*u + 2*i, -2*u = -i - 62. Suppose -u*l + 40 = -24*l. Calculate the remainder when f is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = -5*k, 0 = -5*k + 4*y + 9 + 13. Let p(z) be the first derivative of -z**4\/4 + 2*z**3\/3 - 3*z**2\/2 - 28. Calculate p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*a**2 - a - 287*a**2 + 242*a**2 + 142*a**2 to s*a**2 + y + h*a and give s.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (5*(sqrt(91)*1 - sqrt(91)) + sqrt(91) + sqrt(91)))\/(1*sqrt(112) - sqrt(112) - sqrt(112))*-2)**2*-3.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5)*1)*2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1020*h**5 + 3*h - 113 wrt h?\nAnswer: 20400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.43 (b) 1 (c) -2\/5 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 5 - -15) + -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107 and 129684.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -21. Suppose -p - 2*p = 2*n, 0 = -4*n + c. Let x(i) = 2*i**2 + 2*i - 3*i - 3*i - 2 + i**3 + 3*i. Determine x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-6)*(-702 - 28653)?\nAnswer: 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283308 divided by -4?\nAnswer: -70827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 522584*17*(-10)\/(-680) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (684\/1140*(-10)\/(-18))\/(147\/9)\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87.5 + -4.6. Let r = 10.1 + z. Let x = -81.99999906 - r. What is x rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 4*a - 60. Find the common denominator of (1 - 345\/333)*(23 + a) and -103\/18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001233112000 + 1?\nAnswer: 1001233112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117920, -117541, -117162?\n\"Answer: 379*q - 118299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 18685*r**4 + 15878175*r**3 + 2927551005*r**2 + 164871018000*r + 3026809012500 = 0. What is r?\nAnswer: -57, -49, 1950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -11*p - 5. Suppose 0 = -2*m - c + 9, 4*m - 4*c + 17 = c. Calculate the remainder when t(-1) is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-1) - (2 - 1). Let y = 6 - h. Suppose -5*z + 7151826 - 51826 = y. Round z to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/(7\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -246 - -241. What is the second biggest value in 5\/3, 1\/9, w, -0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31342 (base 5) to base 10\nAnswer: 2097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -3) + -1 + (8 - (-11 + 21))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q**2 - 2*q. Let u(k) = -59*k**2 - 4*k. What is -11*h(g) + 6*u(g)?\nAnswer: -24*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 16*t**4 + 28*t**4 + 15*t + 38*t**3 - 38*t**3 wrt t?\nAnswer: 528*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -485902.76?\nAnswer: -340131.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4081*38\nAnswer: -155078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 1, -14, 2, -3, -59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = d - 8*d. Let l = -16 + d. Suppose i - 6*i = 3*c - 461, -i + 97 = l*c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-8))\/(14\/(-952)). Does 12 divide 251 + 68\/m*(-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3\/8)\/c**(2\/7) assuming c is positive.\nAnswer: c**(-37\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -19*y**3\/2 + y**2\/2 + 3*y. Let o be i(-5). Let n = o - 183. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4730057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3959, 7879, 11753, 15569, 19315, 22979, 26549, 30013?\n\"Answer: -2*s**3 - 11*s**2 + 3967*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, m: 1, b: 1, k: 6, c: 2}. Give prob of sequence kkbc.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 4, -8 in ascending order.\nAnswer: -8, 4, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, w: 1, y: 3, p: 1, o: 5, v: 3}. Give prob of sequence vpo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*k - 13880 = -715*k - 450*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4600 and 3910.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 9 - (26 - (-28 + 11 + 16))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20342 + 1441120?\nAnswer: 1420223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 16*a - 3. Let p be z(-15). Suppose r + 2*r + 3*y = 3159, 5*r - 5241 = 3*y. Suppose r = -p*f + 13*f. What is f rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, -26217, -3, 2, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/(4\/(-54)). Suppose 0 = -2*m + 2*q + 32, 3*m + 3*q + s = 57. Suppose -2*u + m = -u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14057 (base 10) in base 5?\nAnswer: 422212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(91)*4*-4*-2)\/(sqrt(7) - sqrt(343)*3 - ((sqrt(70)\/(sqrt(10)*4) - sqrt(7)) + sqrt(7))))**2.\nAnswer: 5324800\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1\/7 (c) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/3 - 1\/(-3). Let j = 30 + m. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7482 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53628 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + 23 + 132 + -152.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**2\/5 + 4587*i\/5 - 6221362\/5 = 0.\nAnswer: -1946, 3197\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4769 + -4768. Suppose 5*d = 3*g + 20, 0 = 3*d - 4*g - 9 - 3. Suppose 4*h - d = -0. Which is the closest to l? (a) 2 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 157*i - 1710. Calculate b(-61).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542788 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2195385 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-9)*(74\/(-16))\/((-14)\/56)*-2?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 287*b**2 + 1670*b + 4496.\nAnswer: (b - 281)*(b - 8)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 42391862 to the nearest 10000.\nAnswer: 42390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134122 is divided by 1615?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 77287931 divided by 37\nAnswer: 2088863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -46. Suppose 8*f - o*f = 0. Suppose m + 2 - 4 = f. Solve u + 0 = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 108*k**3 + 108*k + 7. Let b(f) = -61*f**3 - 54*f - 4. Give -7*b(i) - 4*p(i).\nAnswer: -5*i**3 - 54*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 23, 47, 75?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -10789870.\nAnswer: 5394935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -178, -167, -152?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 3*s - 2*s. Let m(x) = -2*x**2 + 3*x. Let p(c) = 2*c - 3*c**2 + c**2 + 0*c**2. Let g(a) = 2*m(a) - 3*p(a). Calculate j(g(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(30)\/sqrt(3)) + sqrt(25)\/sqrt(180).\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17563*h**3*r**2 + 44*h**2*r**2 + 2*h**2*r - 28*h*r**2 wrt h?\nAnswer: -105378*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 8*o - 28 = 0, -5*c + 14 - 38 + 13 = -o + 53 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27565537 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5 (c) 1\/6 (d) 6 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 4*c - 5*o - 10, 2*c - 8 = o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 17*i + 52)*(3 - i - 3) + i**2 + 3*i**2 + 30*i**2.\nAnswer: 51*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -69\/4 and 0.435 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*s + 2 = -5*k - 247*s, -6 = 3*k + 3*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2. Suppose 0 = -d - 0 + 2. Let w(x) = -7*x + d*x - 4 + 7. Let o(m) = -m + 1. Let u(l) = 3*o(l) - w(l). Determine t(u(p)).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-4))\/7*10. Suppose 3*n + 40 = 3*q - 2*n, -q = -d*n - 30. Solve 0 = -3*t + q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1480*z + 45 = 1471*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/6*(-8)\/(-3). Let g = 6 - f. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**5\/270 + 5*r**4\/108 - 4*r**3\/27 - 15*r**2\/2 + 7. Let c(p) be the second derivative of q(p). Factor c(m).\nAnswer: -2*(m - 4)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289 = -5*u + 2*z + 977, -2*u - z + 60 = -3*u for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/24 - 5*i**3\/6 + i**2. Let l be r(-5). Let j = 3 + -1. Solve j*v + 22 = -4*d, l = d + 3*v - 0*v + 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68416832*x**4 - 1352*x**2 - x - 1654 wrt x.\nAnswer: 1642003968*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916721 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3\/9 + 16*m**2\/9 - 44*m\/9 + 8\/3 = 0. Calculate m.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(76) - (sqrt(76) - sqrt(76)*2)) - -2*sqrt(76)*5))\/(-5*4*sqrt(576)*-1).\nAnswer: sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j - 1. Let x(v) = 4*v + 1. Let n(f) = 6*x(f) + 5*y(f). Suppose z + 2 = 2*z. Give n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2671\/15 - -178. Let i = -0.2 - 0.1. Which is the third biggest value? (a) 0.3 (b) k (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1.392.\nAnswer: -0.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26366 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 8*c**2 - c - 8. Let s be i(-8). Suppose 2*r - 4 - 6 = s. Let q = 15 + r. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b**5 + 1354*b**4\/15 - 4960*b**3\/3 - 138288*b**2\/5 - 700704*b\/5 - 1207584\/5 = 0. What is b?\nAnswer: -7, -6, 1198\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2355, 18853, 63585, 150651, 294151?\nAnswer: 508185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/12 - 5*g**2. Let u(i) = 2*i + 3. Let r(b) = 8*b + 13. Let z(m) = -6*r(m) + 26*u(m). Calculate z(o(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/4 + (-594)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 723 + -416. Let r = -118 + x. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from -0.100351.\nAnswer: 23.899649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 7, 1.6, -4\/5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -82 in 9, 0.16, -0.02, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 82881244.5 to the nearest one hundred thousand.\nAnswer: 82900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0. Let q = 14.9 + 21.1. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 11. Let n be g(-6). Let q(p) = 87*p**2 + p. List the prime factors of q(n).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 5 + sqrt(11)*2 + -4)*-4 + 0)**2.\nAnswer: 320*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + ((0 - 4) + 5)\/(-58 - -57)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466072326\/6202 + (-4)\/6 + (-20)\/(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*((-75)\/(-45))\/5)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 12*c**2 - 12*c - 7. Let n be p(-11). Suppose 115 = 9*u - n*u. What is the highest common factor of 161 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*d - s + 16 = 0, -2*d - 362*s + 180*s - 80 = -187*s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 > 690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/7, 0.24, 0.1 in decreasing order.\nAnswer: 0.24, 1\/7, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 158 = 149 - 305. Which is greater: x or -202\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26884 and 4472?\nAnswer: 2312024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1053) + 4 - sqrt(1053)) + 3*(-1 + sqrt(1053)))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -11 - 19. Let c(x) = -x + 8. Let a be c(d). Let l(s) = s + a*s - 4*s. Let i(g) = -6*g**2. What is l(i(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6545838, 6545836, 6545834, 6545832, 6545830, 6545828?\nAnswer: 6545826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*o - 39*o = -57*o + 328. Solve b = 5*r - 13, 3*b + 2 = -o*r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 + 42133?\nAnswer: 42212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a7 (base 15) to base 2.\nAnswer: 10100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -30*v**3 - 5*v - 3. Let q(r) = 15*r**3 + 2*r + 1. Calculate 2*j(l) + 5*q(l).\nAnswer: 15*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.5 in 0, -4, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 6:14 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6826454, 6826418, 6826382, 6826346, 6826310?\nAnswer: 6826274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m**0\/m*m)\/m)\/m)**(-29)*(m\/(m\/m**(-3\/4)))\/(m**3*m)*(m**9\/m**(1\/4))**(-37) assuming m is positive.\nAnswer: m**(-657\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(29\/(-290)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.041? (a) 3\/7 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 45 = -12*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*j = -489*j + 3864 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**3 + u**2 + u - 1. Suppose -8*y + 5 = -3*y. Let s be n(y). List the prime factors of (-42)\/(-2)*(s + -10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 11}. Give prob of sequence ofo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776039182?\nAnswer: 2, 23, 31, 373, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1732, 1726, 1710, 1678, 1624, 1542?\nAnswer: 1426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 0*r - 1523 - 2*r + 1527 + r. What is l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 383933953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-15)*4\/8*-5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.66008 to one dp.\nAnswer: -47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**5 + 4*b**5 - 16*b + 30*b wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8649*j**3 + 8649*j**3 + 39*j - 8004*j**5 + 39*j**2 + 1 - 40*j**2 wrt j?\nAnswer: -480240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Solve y*b + 7 = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 5929 - 2916 + 1620 as l + p*r and give l.\nAnswer: -7225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {s: 1, q: 1, m: 1, j: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*d + 1 - 7*d)*(6*d**2 - d**2 - 3*d**2).\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(1100) + -3 + sqrt(1100) + -4 - (5*(sqrt(1100) + sqrt(1100)*3) - sqrt(1100))))**2.\nAnswer: 535500*sqrt(11) + 71538525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*s + 251425 = -87*s + 860973. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-4\/35)\/(w*w\/w**(2\/7))**(5\/11) assuming w is positive.\nAnswer: w**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -582997111?\nAnswer: 582997110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/7 (b) -0.1 (c) 67 (d) -0.2 (e) -1 (f) -0.7 (g) -17\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3)\/((-14)\/(-21)). Let k be (-3)\/4 - 5\/h. Let r = k + -2\/3. Is 1\/4 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4057618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 12\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-26 + -1 - (9 + -21)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -15, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 174*z**2 - 2267*z - 1606. Give c(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 22 - 4 - 3213*r - 4.\nAnswer: -3213*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(-4 + 4*(-2*sqrt(108) + -2) + 0))**2.\nAnswer: 4608*sqrt(3) + 28220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -878.6 - -878.4. Which is the second biggest value? (a) s (b) 8 (c) -25.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*p - 0*p. Suppose 2*i - p = v, -2*i = -2*v - v - 48. Let b = i - 3. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**7\/147 + f**6\/35 - f**5\/7 + f**4\/21 + 3*f**3\/7 - 5*f**2\/7 + 176*f. Factor h(u).\nAnswer: 2*(u - 1)**3*(u + 1)*(u + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 156*w**2 + 3*w**4 + 152*w**2 - 13 in the form z + q*w**2 + k*w**3 + m*w**4 + f*w and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14728 rounded to 3 dps?\nAnswer: 0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9476*f**3*g**2*w + 3*f**2*g**2*w - 11*f**2*g*w - f**2*g + 9*f*w wrt f.\nAnswer: 56856*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1)\/15*(-3)\/(-2)*2720\/(-3672).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + ((-225)\/36 - (-2)\/8). Does 6 divide 80 - (-3 + (0\/j)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z*(z\/z**(-26))\/z))**(2\/143) assuming z is positive.\nAnswer: z**(-40\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -42.7. Suppose 16 = -4*v + 4. Which is the second biggest value? (a) v (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28733 divided by 487.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-24)\/(-18) + (-1)\/3. Which is greater: r or -2\/35?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 909453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-45) + 6624\/(-3240). Suppose t = 5*t. Put k, -1, t, 1 in descending order.\nAnswer: 1, t, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 5, 2, -6, -5, 1 in ascending order.\nAnswer: -6, -5, 1, 2, 5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-3 + -8 + 4 - (26 - 40)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t + 4. Calculate the remainder when w(6) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 150, -5, 27201, 0.5 in decreasing order.\nAnswer: 27201, 150, 2, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49251808 divided by -12312952?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 + 13421539*f**3 - f**2 + 28667*f + 66 wrt f?\nAnswer: -120*f**2 + 80529234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5811810 rounded to the nearest 10000?\nAnswer: 5810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463 = 3*p + 3*o - 335, 1070 = 4*p + o. Calculate the remainder when p is divided by 97.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -508 + 491*k - 257*k - 235*k + 2009 to the form x + a*k and give x.\nAnswer: 1501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11*u**2 - 58*u - 257. Let h(f) = 32*f**2 + 176*f + 769. Let n(g) = -17*a(g) - 6*h(g). Factor n(b).\nAnswer: -5*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-1 + -3 + 0). Let v be (-3)\/x + (-489)\/(-12). Suppose 0 = -2*b + 4*b - v. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 9 + 9)*(0 + 1 - 9)*(13*q - 22*q + 6*q)*(0 - 3 + 4).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1174 = 3*s + 331. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36586)\/(-143) + (-96)\/(-624). Solve 88*n - 56*n + f = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.31704 take away 1063?\nAnswer: -1062.68296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50552 is divided by 3887?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 78?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdvviqdqvdp. What is prob of picking 1 p and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41843162 to the nearest integer?\nAnswer: 6469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-6075)\/855 + (-28)\/(-266))*-10\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4348 - 4298. Which is bigger: -0.027 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 176264, 176218, 176164, 176102, 176032, 175954, 175868?\n\"Answer: -4*h**2 - 34*h + 176302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -199 + 393.042\nAnswer: 194.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 701874668 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 1, c: 6, n: 3, g: 3}. What is prob of picking 1 g and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2149 = -5*q - m + 172, 460 = q - 4*m. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 3) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24890 and 3255612?\nAnswer: 16278060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 37170669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -811*w**3 + 282*w**2 - 4835098 wrt w?\nAnswer: -2433*w**2 + 564*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 174\/(-3420) - 1\/(-6). Let m = 6\/19 - p. Put -2, -4\/5, m in decreasing order.\nAnswer: m, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -3*335\/(-9). Let b = i + -105. Find the common denominator of (-78)\/1392 - 7\/(-56) and b.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 + 2*k**2 - 14*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**7\/280 - k**4\/12 - k**3\/3 + 3*k. Let y(a) be the second derivative of o(a). Differentiate y(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 7098*n**2 - 28405*n - 6. What is m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -176*k**2 - 3*k - 18*k - 28 + 58*k - 9*k. Let p(q) = -32*q**2 + 5*q - 5. Give 28*p(l) - 5*t(l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {s: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705889065 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1610497999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 4 = -z, -4*z + 37390*a = 37463*a + 138 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.11314 - -0.11314. What is the closest to -1\/3 in -0.4, -5, -16, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 6. Let g be r(5). Suppose g*j = 3*j + 2. Suppose -j = 3*q - 4*q. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20564 is divided by 5035.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 2. Let v be f(-1). Suppose 5*m - 10*m = -5. Calculate the highest common divisor of v and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -347, 2271, -7 in increasing order.\nAnswer: -347, -7, 2271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -64*n**3 + 9*n**2 + n - 17. Let p be v(4). Let b = -2394 - p. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 + 3100*o - 47625 = 0. What is o?\nAnswer: -635, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/368)\/(14\/(-48))*(-3)\/((-18)\/64).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -276*d + 1013. Give x(4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.8465 + 0.0465. Let t = -9.1 - q. What is the smallest value in t, 3, 1\/81?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 13*f - 2. Suppose r = -2*r - 12, 24 = -4*q - 2*r. Let l be 86\/(-7) - q\/14. Is 6 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 7*u + 28. What is the second smallest value in 1, 0.45, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.7939142ms to weeks.\nAnswer: 0.0000000624899375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/3 - 4757876*q**2\/3 - 2829673003922*q\/3.\nAnswer: -2*q*(q + 1189469)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-l + 0 + 0) - 3*l - 272*l - 106*l + 2 + 2*l - 2.\nAnswer: -378*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let j(v) = 124*v - 9. Determine -j(u) - 11*w(u).\nAnswer: -135*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -24*z + 0 + 1\/2*z**3 + 1\/4*z**4 + 0*z**2 - 1\/20*z**5. Suppose -w - x = 0, 4*w - 3*w + 3 = -2*x. What is n(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 408.7419ms?\nAnswer: 0.4087419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-133)\/4)\/((-220989)\/232620).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**2 + h**4 + 4*h - h**2 + (2*h**2 + 4 - 4)*(-h**2 + 4*h**2 - h**2) + 5*h**4 + 7 - 7.\nAnswer: 10*h**4 - 3*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 34*m**2 + 8*m - 22. Let l be v(7). What is l rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 0*w**4 + 1\/15*w**6 + 0 + 0*w**3 - 1\/10*w**5 + 17*w + 19*w**2. Find the first derivative of u(a) wrt a.\nAnswer: 8*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 257*y**4\/4 - y**3 + 3*y**2\/2 - 3*y - 8. Let r be b(-3). Let v = 3978 + r. What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218229318*z + 140*z**2 - 218229318*z.\nAnswer: 140*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43027539 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z - 13145 = -13927 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 29 = 33, 2*g = 15*t - 88 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/355 less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 8*r - 3. Let h be x(7). Let q = -4.98 - 0.02. What is the third smallest value in h, -0.5, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 61173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -11.1. What is the third smallest value in -1, 1, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*l - 0*l. Let p = 0.42 + -0.02. Let i be (100\/210)\/5*7. Which is the biggest value? (a) l (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*h - 30 = 0, 4*a + 4*h = 15 + 9. Find the third derivative of 13*w**6 + 2*w**2 + 2*w**2 - a*w**6 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1 - 21 = -j, 4*j = -4*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -854509, -1709027, -2563545, -3418063, -4272581?\n\"Answer: -854518*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 1 - 3*f**2 - 2 + 33*f - 36*f to i*f**2 + w*f**3 + c*f**4 + v + k*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 36*v**3 + 3*v**2 + 6. Let o(q) = 38*q**3 + 4*q**2 + 7. Let s(a) = -6*f(a) + 5*o(a). Determine s(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Suppose -k = 5*y - 12, 5*y = k + v + 5. Suppose 0*o - k*o = -10. Let j(q) = q**3 - 5*q**2 + q - 5. What is j(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 1 - 1 + (-2*z + 0*z + 4*z)*(0 - 2 + 0) + 8*z + 18*z - 2*z.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 17358*k. Let i(a) = 254*a. Determine i(q(n)).\nAnswer: 254*n**2 + 4408932*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124 and 161268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45471.\nAnswer: 3, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/563 - 63595\/2252. Let d = y + 28. Let u = 3 + -4. Which is bigger: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2. Let u = 56 - 30. Let k = u + -11. Let q(i) = -14*i**2 - k*i - 9*i + 24*i. Determine a(q(p)).\nAnswer: -196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30289968 and 22717476?\nAnswer: 90869904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**3 - 2*i**2 - 309 wrt i?\nAnswer: 9*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, 1, -0.2 in descending order.\nAnswer: 1, 0.4, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -904*w + 215123. Calculate c(238).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47\/123 - 2\/41. Let l = 0.85 + 0.25. Let g = -6.1 + l. Which is the closest to k? (a) -3 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w + 12. Calculate o(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/3 + 38*w**2 - 200*w\/3 - 1624 = 0.\nAnswer: -58, -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9462429 micrometers in centimeters?\nAnswer: 0.00009462429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -4*i + 8, n - 5*i - 10 = -0*i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 13 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*m - 5*t - 39, 3*t = 3*m - 45. Suppose 5*j - 29 = -h, -3*j + 26 - 3 = -5*h. Calculate the greatest common divisor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)*g**(-4\/5))\/(g*g*g*g**0)**(-16))**(-20\/7) assuming g is positive.\nAnswer: g**(-954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 1675*s**3 + 102820*s**2.\nAnswer: -5*s**2*(s - 388)*(s + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.3 (b) 15 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 k when three letters picked without replacement from {z: 1, q: 10, k: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-1)\/(-2) - (-1 + 1)). Is 4\/25 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5\/8, 0.5, 5, -0.11, 11 in ascending order.\nAnswer: -5, -0.11, 0.5, 5\/8, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62626 and -1?\nAnswer: 62627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.095 * -75.\nAnswer: 7.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*179\/(589626\/108).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 476 - -4?\nAnswer: 47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 520*h = 516*h - 22, 6*h - 2*h + 18 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v + v + 0*v - v to the form k*v + t and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4244093 is divided by 1414693?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 57200, 57204, 57208, 57212, 57216, 57220?\n\"Answer: 4*j + 57196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 183223 times -2?\nAnswer: -366446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15364380 equal to -15364377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5576944076.98188559 + 5576944119. Let d = v + -0.01810131. Let n = d + -42. Round n to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -172*b - 17. Let c(y) = -88*y - 7. What is 10*c(t) - 4*g(t)?\nAnswer: -192*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 17. Suppose -i + 30 = q. Is 135\/i - 3\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kjvll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89901, 180039, 270173, 360303, 450429, 540551?\n\"Answer: -2*q**2 + 90144*q - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2995, -2958, -2921, -2884, -2847, -2810?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.49 + 0.19. Let d = -7.88 - 0.12. Let g = 5 + d. Which is the second smallest value? (a) g (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -392 - -397. Suppose -2*d + 10774 = -4*f + 5*f, 5*d - o*f - 26920 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = 5*q. Suppose 0*f - q*f - 10 = 0. Let r = 1.2 - 0.2. Which is the nearest to r? (a) 1 (b) f (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 7. Let d be b(-4). Suppose 5*w + 4*x - 57 - 47 = 0, -d*x = 3*w - 65. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1))\/(315\/70)*-7*(-12099)\/(-518).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2162*j**3 - 2162*j**3 + 6486*j**3 - 2159*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 24 = 4*v - 0*v, 2*n = -2*v - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + k - 2*k)*(17*k**2 + 0 + 0).\nAnswer: 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let p be w(1). Suppose o - p*o = -7. Let f = o - 4. Calculate the greatest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-8))\/(((-13)\/26*4)\/((-384)\/48))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*w**4 - 68*w**4 - 10*w**2 + 30*w**4 - 2 - 2*w + w**4 + 2*w + (-3*w**2 + 2*w**3 + 3*w**2)*(-w - 3 + 3).\nAnswer: -6*w**4 - 10*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltvtellleltlvtc. Give prob of picking 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-27)*z**(9\/2)\/z*z**(1\/5)*z*z\/(z**25*z) assuming z is positive.\nAnswer: z**(-443\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10.1 (b) 2 (c) 85\/3 (d) 1\/2 (e) -1 (f) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -16 (c) -16\/13 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -33, 5, 12 in decreasing order.\nAnswer: 12, 5, 3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100011111000100010 - 101?\nAnswer: 11010100011111000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2208.\nAnswer: -1\/1104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*y + 177*y = -18, 0 = -4*d - 2*y + 5772. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {o: 12, l: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 822800 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-31) - (-5818836)\/(-9021). Is j < -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17012825 is divided by 723?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (285\/190)\/((-3)\/(-9220)) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 + 90. Calculate the smallest common multiple of 37 and x.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927753987285 - -0.1?\nAnswer: 2927753987285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -2\/11 (b) -1\/4 (c) -0.13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Let g be (-2)\/5*(-1 + -4). Let z = -1 + g. Are p and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 576 and 2112.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 304 * 0.1958\nAnswer: 59.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (1 + sqrt(242))*-3) + (sqrt(242) + 1 + sqrt(242))**2*-3.\nAnswer: -2904 - 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let j = c + 9. Suppose -5*f = -27 - 33. Calculate the greatest common divisor of j and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16275 and 211575.\nAnswer: 211575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 413233 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + 4312\/16. Suppose -103*g + 107*g - 84 = -2*s, -5*g + 180 = 5*s. What is the greatest common factor of r and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - a + 11 = -2*a, -63 = 5*z - 3*a. Is -7 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339025 less than 5?\nAnswer: 339030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4 + 27*a + 16.\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let d(p) = 16627*p**2. Determine x(d(r)).\nAnswer: 33254*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-206)\/(-10) + 4\/10. Suppose 0*o - x = -7*o. Suppose -2*d + 6895 = o*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15055 + 2119 = 8*i. Is -1615 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/53222 and -46\/11.\nAnswer: 585442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 30 = -5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/450 and -169\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - g + 1480, 2*u - 4*u - 2*g = 1492. What is the common denominator of 7*(-8)\/(-252) + u\/(-144) and -13\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 64, -4994.\nAnswer: -4994, -6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1000000?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeef when four letters picked without replacement from {f: 8, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00050446 rounded to 6 dps?\nAnswer: 0.000504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001576499081 rounded to six dps?\nAnswer: 0.001576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*m**2 + m - m)*(-m + m + 2*m**2) to the form j*m**4 + c*m**2 + f*m**3 + o*m + k and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -20, -1, 1, 3, 6, -3 in descending order.\nAnswer: 6, 3, 1, -1, -3, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/26*(-10)\/3. Sort 4, -3, q in decreasing order.\nAnswer: 4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {u: 3, i: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 8*b**2 - 8*b - 3. Let z be m(-9). Let p = z - -14. Let y = -3 - -5. Solve -p*o = y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-315))\/(4\/216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 2*r. Let a(b) = b**2 + 5*b. Suppose -7*t + 25 = -10. Let q(m) = t*c(m) + 2*a(m). Suppose q(w) = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5254, 2, -135?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(208)*-1 - sqrt(208))**2 - (0 + (sqrt(208) - -2*sqrt(208))**2 - sqrt(208))) + 5.\nAnswer: -1019 + 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 17. Suppose -1 = -v*b + 3*b. Solve o - b = -2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6178466, 6178464, 6178460, 6178454, 6178446, 6178436, 6178424?\nAnswer: 6178410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1756, 597, -11.\nAnswer: -11, 597, 1756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 84 = -4*l, -54*x + 40 - 605 = -3*l + 455 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-4))\/(3\/(-2)). Let d = -25 - -31. Which is the nearest to -2\/7? (a) d (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3222\/11 + -58711\/198. Calculate the common denominator of s and -13\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70 (b) -11\/5 (c) 1 (d) -3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrt when three letters picked without replacement from btbryybqbbyp?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 7*s - 440 = -23*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*w**3 - 27*w + 1657 wrt w.\nAnswer: -51*w**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-9) + 379280\/689760 and 1.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 69*w**2. Let v(i) = 13*i**2. Determine c(v(t)).\nAnswer: 11661*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 2*g = -34, 0 = -2*o - 3*g + 1. Let x(a) = -a**2 + 6*a + 11. What is x(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d**2 + 17*d**2 - d**2 in the form n*d**2 + a + g*d and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*k + 175*k = -1760. Suppose k = 38*r - 16*r. Let z = -18 - -63. What is the remainder when z is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -243.444 and 0.3.\nAnswer: -73.0332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10135*i**2 - 8991*i**2 - 2541*i**2 + 12032*i**2 + 17186*i**2 + (3*i - 2*i + 0*i)*(-i + 3*i - i) in the form p*i + q + o*i**2 and give o.\nAnswer: 27822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2776 - 9493 - 20387 + 3732 = 5843*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 14*v**2 - 19*v + 78. Let q be l(13). Solve 0 = 3*m - q - 6, 0 = 5*f - 2*m - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 1, l: 1, v: 1}. Give prob of sequence flv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -507 and -9.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 6*x**2 + 3*x - 9. Let d = 27 - 25. Suppose -d*m + 12 = -0*m. What is y(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1 (c) -64\/991 (d) 3\/7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -31*s + 3. Let k(l) = -210*l + 27. Let v(u) = -u - 1. Let i(c) = -k(c) - 6*v(c). Let o(b) = 4*i(b) + 27*z(b). Is o(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 7*q = 10*q, -3*n + 13 = q. Solve m - 4 - 4 = -n*i, 0 = 5*m + 4*i - 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**2. Let x(p) = 3*p - 18. What is x(i(y))?\nAnswer: -15*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-1 + (-4)\/(-2). Let s(h) = 2*h**2 - 4*h. Suppose 4*x = -x - 30. Let b(a) = 5*a. Let v(z) = z. Let y(g) = x*v(g) + b(g). What is q*s(m) - 4*y(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -17\/8. Let d(n) = n - 4. Let f be d(5). What is the closest to f in h, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*s**2 - 59*m*s + 29*m + 1445*s**3 + 10 wrt s?\nAnswer: -4*m + 8670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 93. What is the derivative of 31*u + 26*u - 9*u**v - 57*u - 16 wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (22 - 6) - 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67\/435 - -4\/87. Let c = -160 - -155. What is the biggest value in d, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/151*(-600)\/(-8250)*22\/4.\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 = -47. Let s = -197\/5 + j. Is s > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -8*g**3 - 204*g**2 - 928*g + 2736 = 0.\nAnswer: -18, -19\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145573 is divided by 10378.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 15*m - 193. Let n(d) = -5*d + 3. Let b(t) = -4*n(t) - p(t). Give b(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let y(k) = -128*k**2 + k + 60. Calculate y(c(v)).\nAnswer: -128*v**2 - v + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*m**3 - 441788*m**2 - 1767260*m - 1767296 = 0. Calculate m.\nAnswer: -2, 441824\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 2160*b**2 - 45392*b - 99456.\nAnswer: -4*(b - 518)*(b - 24)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 16 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5*-15856838\nAnswer: 79284190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/24*6\/90*15.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.57. Let t = m - 0.6. Let w = -0.04 - t. Which is the third smallest value? (a) 1 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3991*h - 2275*h + 2556*h)*(5 - 5 + 3)*(-4*h**2 - 2*h**2 + 7*h**2) - 2*h**3 - 3*h + 3*h to i*h**2 + y*h + g + c*h**3 and give c.\nAnswer: 12814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 2:40 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000373 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 376272*m**4 + 276708 wrt m.\nAnswer: 1505088*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113918 by -14.\nAnswer: -8137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508868 is divided by 127170?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1572 = -3*i. Let s = i + 1839\/7. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -3513323?\nAnswer: -3513315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -789*p**5*v**3 - 34*p**2*v**3 - 13*p*v**3 - 2*p*v**2 + 139*v**3 wrt p.\nAnswer: -15780*p**3*v**3 - 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 31*t**2\/2 + 19*t - 2. Is c(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)**35*(o\/(o\/o**(-2\/7))*o*o)**(-2)*o**(-1\/8)*o**(1\/2)*(o\/((o\/(((o\/o**1)\/o)\/o))\/o)*o*o)**33 assuming o is positive.\nAnswer: o**(3637\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/4)\/3*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27350 by -193.\nAnswer: 27350\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + 400301242?\nAnswer: 400301342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -86\/3, 2\/7, 0.3, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 5*b = 2233, 3*b - 3 = 0. Suppose -4*o - 6 = 2, -z + 4*o - y = 0. Calculate the remainder when (-4)\/(100\/z) - 4\/(-10) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*r - 2, r = 4*x - 30. Suppose -3*i + 61 = x. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in centimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(252) + 2))**2*1.\nAnswer: 600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 18 + 19*i + 26 to the form z + g*i and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 209*z - 3122.\nAnswer: (z - 14)*(z + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/15 + 17*s**2. Let u(t) = 21*t**2. What is q(u(k))?\nAnswer: 1764*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-14) + (-6 - (-4 + 2)). Let h(c) = 25*c**2 + 4*c - 2. Let i be h(b). Suppose i = 6*o + 3*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 21 = 5*b, 2*b + 7 = -4*w - b. What is the second derivative of 0*z - 4*z - 9*z**2 + z**w + 9*z wrt z?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -34.9. What is the fourth smallest value in p, -2\/7, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**5*x + t**4*x**3 + 13*t*x + x**3 + 2*x**2 wrt t.\nAnswer: 140*t**3*x + 12*t**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**4 + q**3\/3 + q + 120. Let n(t) = -3*t**3 + t**2 + 1. What is 7*n(v) - 5*x(v)?\nAnswer: -v**3 + 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b. Let u be h(-5). Is u\/(-6)*(-285)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1798730 is divided by 194.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 9. Suppose m*h + 19 = 3*j - h, h = -j + 1. Suppose 0 = 2*u - 8, 4*t - j*t + 2*u - 153 = 0. What are the prime factors of t?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01300438 rounded to five decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r + 44*r**2 + 149*r - 77*r - 41*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9880 + -9894. Let v(a) = -3*a + 14 + 30 - 6*a. What are the prime factors of v(i)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1544342 (base 6) to base 2\nAnswer: 10110011001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11423244 and 281064?\nAnswer: 159925416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 120*s**3 + 3 - 39*s**3 - 41*s**3 - 41*s**3 - 3*s. Let q(i) = -2176*i**2 - i - i**3 + 1 + 2176*i**2. What is -2*b(r) + 6*q(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 10*n**3 + 3*n**4 - 1 - 5*n - 5*n**5 - 10 - 13*n**4 + 1 + 20*n**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1541738 is divided by 875?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5908311 and 12?\nAnswer: 23633244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 13 = -4*n + n, 2*s - 5 = -n. Let a be (-4)\/(-2) + 27 + 2. What is the second derivative of 8*z + a*z**4 - 16*z**4 - 16*z**s wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 472480417 and -0.5?\nAnswer: -236240208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 55\/2. Let k = 17 + -26. Let j be (k - -9) + 2\/17. Which is the third biggest value? (a) j (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29200 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31\/3 in -0.1, -1\/3, -4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302941 rounded to 5 dps?\nAnswer: 0.03029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/11 + 314*v\/11 + 608 = 0.\nAnswer: -19, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/82698 and 47\/336.\nAnswer: 661584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -188 + 190.1. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/7790216 and 107\/12348.\nAnswer: 70111944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 142. What is the remainder when h(0) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -16, -37, -72, -127, -208, -321?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070746 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.733 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4\/2) - -35. Suppose -c - 188 = -4*s. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1710 by 114.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002700 rounded to the nearest ten thousand?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4426 < 4426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 15 = -5*k, 5*k - 5*y - 40 = -20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 + 131. What is the least common multiple of 1796 and y?\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -73*x + 1. Give r(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - d)*(-2472 - 644 + 767) as w*d + g and give w.\nAnswer: 2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 4\/(-6)*3. Let s(n) = 2*n**2 + n**k - 4*n + 0*n. Let w be s(5). What is the highest common factor of 22 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 5. Are 4 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddvvmdxvdvddddxdsm. Give prob of sequence xms.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*o + 338446 - 32848, -l - 152798 = -o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*5\/(-5))\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29357241.\nAnswer: 3, 347, 28201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 312 = -25*u - 11*u. Solve 3*m + u = 4*g, 3*g + 3*m - 11 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 48 (b) 976 (c) -1 (d) -2 (e) 0.3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3365041, -3365042, -3365043, -3365044, -3365045, -3365046?\n\"Answer: -k - 3365040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394*m**3 + 377*m.\nAnswer: 2364*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/252*20\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5*h + 20 = 0, -28*k - 4*h + 13 = -25*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**0*n))**(-21\/5)\/(n**3\/n**(-1\/3))*n**6\/(n*(n\/((n**(-1)\/n)\/n*n))\/n)*n**(-3\/4)*n**(1\/5)*n assuming n is positive.\nAnswer: n**(259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 14.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1509623424 and 1434?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/12 + 5*n**3\/6 + 6*n**2. What is the units digit of h(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.5 plus 2475?\nAnswer: 2495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1197 - -98\/171. Let z = -8 - -6. Let q = 1 - -1. Which is the nearest to q? (a) d (b) z (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -43. Let z = -58 + d. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 9*d**2 - 7*d - 11. Let t be n(-9). Let z = -45 + t. Solve 2*j + j = -4*b - z, 0 = -j - 3*b - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 5788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 101*l**2 - l - 2. Let x be v(1). What is the greatest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 9. Let v(o) = 12*o + 18. Let s(a) = -2*v(a) + 5*w(a). Is 32 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l - 2 + 10*l**2 - 11*l**2)*(0*l**2 - 6*l**2 + 3*l**2).\nAnswer: 3*l**4 + 9*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*k + 71*k - 70*x + 86 = 8*x, 6*k + 4*x + 16 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 1909*v + 148 - 85 as r*v + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 120 = 4*b, 5*r = -5*b + 39 + 126. Let z be 5678\/(-51) + (-1)\/(-3). Let i = -98 - z. What is the remainder when r is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by (6 - -4)*(-156)\/(-39)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrggbrrgrbrgbr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x*x*(x\/((x\/x**1)\/x)*x)\/x*x**0*x*x\/(x*(x**(-1\/3)*x)\/x)*x**(-2)\/(x*x**(3\/4)*x)*x*x**(-4)*x*x**2*x assuming x is positive.\nAnswer: x**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -315*a + 310*a - 3*y - 2, a = -4*y - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.269626836 to 3 dps.\nAnswer: 3.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 50*o**2\/11 + 3624*o\/11 + 1728\/11 = 0.\nAnswer: -72, -12\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3*(-10)\/150)\/((-3)\/380) and -16\/297?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 - 11*f - 1. Let x(b) = -b**2 - 2*b. What is -2*x(m) + z(m)?\nAnswer: 5*m**2 - 7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:42 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 6 - ((-6 - 0) + -16 - -10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - k + 12, 4*n - 15*k = -13*k + 8. Solve n*s - x - 24 = 0, -5*s - 4*x + x + 13 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -15. Suppose -2*o + 18 = f*o. Suppose 3*d - 21 = -3. Calculate the remainder when d is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2581 + 464*i - 2581)*(-i**2 - 2*i**2 - i**2) - 8*i**3 + 14 - 14 in the form s + h*i + t*i**2 + j*i**3 and give j.\nAnswer: -1864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from awa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 74. Let l = -562 + 466. Calculate the lowest common multiple of t(0) and 41\/4 + 24\/l.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/609*-2*12.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 + 136*p + 119. Give r(46).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/2 + 9*i**2\/2 - 6*i = 0 for i.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -56*o**2 + 22*o + 22. Let q(a) = -127*a**2 + 20*a + 20. Let m(k) = 58*k**2 - 9*k - 9. Let i(x) = 13*m(x) + 6*q(x). Determine 44*i(f) - 6*n(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + 11 - 1 - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 + 8 + 5 + 4) - -30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z**(-1)*(z**(-1)*z)\/(z*(z**(2\/7)\/z*z)\/z))\/((z\/z**(-1))**(-1\/17)*(z**(-1\/4)*z)**(-5\/2)) assuming z is positive.\nAnswer: z**(-1231\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 divided by -5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0\/(2 + -1). Suppose -s = -2*g + 3*j + 7, -g + 3*j = -4. Suppose -g*h - 1 = -5*d - 0, 3*d - h = 2. Solve -d = 4*u - t - 12, u = -3*t - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 9. Let r be k(-6). Let z be 14 - 0 - 2 - r. Solve 2*m = -x + z, -x - 3*m = -2*x - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -278, -1112, -2496, -4430, -6914, -9948?\n\"Answer: -275*f**2 - 9*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 55*z - 5. Let l(u) = u - 1. Give 6*l(i) - v(i).\nAnswer: -49*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9925*q**3 - 251*q - 21 wrt q.\nAnswer: 59550*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807463469?\nAnswer: 37, 1777, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:36 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 4*n - 4. Let a(f) = 5*f + 31. Let u be a(-6). Let m = -5 + u. Let h(o) = -41*o**2 + 15*o**2 + 31*o**2 + 3 + 0 - 3*o. Give m*h(y) - 3*t(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 49. Calculate the greatest common factor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, 2\/19, 0, -0.2, 5\/8298?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/974250 and 103\/15750.\nAnswer: 6819750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 395505 and 527340.\nAnswer: 1582020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 200*u + 2 = -197*u, -10 = w - 4*u. What is the nearest to 5 in 1, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/70)\/(55\/550)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -10, -67, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -140 - -231. Is 91 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691372617?\nAnswer: 1861, 1446197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 19*z + 27. Let g(n) = -n**2 + 21*n - 28. Let k(m) = 6*g(m) + 5*p(m). List the prime factors of k(-18).\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*-6*-1. Let f(r) be the first derivative of 2*r**3\/3 - 4*r**2 - 4*r - 126434. Determine f(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkffkzffkz. What is prob of sequence kz?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*(1 + -1). Let m(d) be the second derivative of t*d**3 + 0*d**2 - 5\/12*d**4 + 0 + d. Let f(u) = u**2. Calculate m(f(i)).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-2)*(67596\/36 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*i, 0 = -2*d - 2*d - 3*i + 39. Suppose f + f - 8 = 0. Calculate the remainder when 21 + 1\/f*0 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7800000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124737732 divided by -1285956?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73609*o + 36744*o + 36865*o + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2 + 324*u - 26244 = 0. Calculate u.\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1393713824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2*s = 3, 4*r - 237*s = -238*s - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8) + (-35559)\/12. Let p be -16*(-1)\/(-3)*585\/i. Factor p*k**2 + 4\/19 + 18\/19*k + 6\/19*k**3.\nAnswer: 2*(k + 1)*(k + 2)*(3*k + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -28. Let b = -34.0000024 - z. What is b rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 0*l**3 + 2*l**3)*(713*l + 75*l + 281*l + 1037*l + 2223*l).\nAnswer: 8658*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-4) - -4)\/1. What is the third derivative of 0*d**c - 12*d**3 + 8*d**2 - 5*d**2 + 0*d**3 wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l + 1. Let b(o) = o**3 - 11*o**2 + 3*o - 10. Let v(c) = b(c) + 4*w(c). Let u be v(6). Let i = -15 + 76\/5. Is u less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 3. Let k be z(5). Suppose -k*o - o = -57. Suppose o = -u + 2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - 0) - 7 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733821 is divided by 182726?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01662616 to 4 dps.\nAnswer: -0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 0.26, -1\/6, -60, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*u)*(-22 + 11 + 10 + 102*u**2).\nAnswer: 306*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -3 (c) 0.5 (d) -272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2179860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 3*p - 4. Suppose 3*i + 0*i = -12. Let w = -2 + i. Let h be (4 + w)\/((-1)\/2). Give r(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(28) + sqrt(7)) + 6*sqrt(21)\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 183 = 368 - 193. Put 22, 5, k, 7 in ascending order.\nAnswer: k, 5, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1 - 13. Let n be (-4)\/m + (-185)\/(-35). Factor -8*j**5 + 0*j**2 - 6*j**4 + 4*j**4 + 10*j**n - 2*j**3 + 2*j**2.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 - 29*c - 5. What is the units digit of y(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*f**2*x**4 + 4*f**2*x**2 - 3*f*x**4 - 13*x**2 + 4*x wrt x?\nAnswer: -1896*f**2*x - 72*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/22006?\nAnswer: 3\/22006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.85218157 to two decimal places.\nAnswer: -3.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 = 7. Suppose 0 = -u*y - 3*m + 5*m + 52, -3*m = -2*y + 34. Let p = y - 6. Solve 4*w - p = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(24)*-3 + sqrt(24))\/sqrt(8))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*h**3 + 11*h**3 - 619*h**2 + 1239*h**2 - 2 + h**4 - 621*h**2 - 2*h**4 to g*h**4 + s*h**2 + y*h**3 + c + u*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 7*b**2 + 2*b + 4. Calculate the remainder when (-1)\/4 - 189\/(-4) is divided by a(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/140*-7*(-5)\/30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**3 + 3*c**2 - 7*c + 13. Let r(h) = 3*h**3 - 4*h**2 + 5*h - 13. Let t(a) = 2*m(a) + 3*r(a). Let u be t(3). Solve 7*y - u = -3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4326 and 3382341.39?\nAnswer: 3382341.8226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198 - -536. Let z = -334 + h. Solve -3*m = 2*m + 5*r - 15, -z*m - r = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 13.56 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2059 - 4?\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 + (-1)\/2. Let d(k) = -12*k**2 + 72*k - 2. Let g be d(6). Which is the nearest to i? (a) -3 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, h: 4, n: 2, o: 2, k: 4}. Give prob of sequence hz.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.62 to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728989 is divided by 7216?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -t - 90. Let g = 12 + -19. Let d = g + t. Solve -15 = x + d*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -174)\/(-35) - ((1 - -1) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61.2, 2\/13, 2\/3, -0.48 in decreasing order.\nAnswer: 2\/3, 2\/13, -0.48, -2, -61.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 28398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g = -2*z + 20, 4*g - z = 14. Suppose g = 5*h - 5*m - 1, 0 = 3*h + 5*m - 11. List the prime factors of (4\/6)\/(h\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 2*y + 4*y**3 + 3*y + 0*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208))**2 + 2 + -3*(0 + sqrt(13)) - (sqrt(130)\/(2*sqrt(10) - sqrt(10)) - sqrt(13) - (0 + sqrt(13))*-2).\nAnswer: -5*sqrt(13) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by -23?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q - 43*q + 11 = 2*d, 0 = 3*q + 15. Let h(m) be the second derivative of -m**d - 12*m - 1\/4*m**4 + 0*m**2 + 0. Factor h(w).\nAnswer: -3*w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(2\/11)*q\/q**6*q*q**7)**(3\/23) assuming q is positive.\nAnswer: q**(9\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0707*0.4\nAnswer: 0.02828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -1\/9, -248?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 19. Let v be -1 - 10*(-3)\/6. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111724 divided by 1643.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 572*d*z**2 - 449*d - z wrt z.\nAnswer: 1144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2051, 4302, 6553, 8804, 11055, 13306?\nAnswer: 15557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + f - 38, 2*f - 2 = -i + 4. What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6504815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = -4*q - 0*z, -q - 3*z - 3 = 0. Suppose 7 - 40 = -3*d. Let k = d + q. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -2. Let t be ((-6)\/(-18))\/(p\/(-9)). Suppose t*n - 58 = -10. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 70 - 13 - 12 + 14*w + 108.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27232273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, j: 2, f: 3, b: 1, d: 3, x: 1}. Give prob of picking 2 j and 2 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisiisssis. Give prob of picking 3 s and 1 i.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -74, -90, -84, -50, 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/25263630 and -61\/490.\nAnswer: 176845410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*c - 9 = 0, -2 = o + 65*c - 66*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 63. Let r be j(-11). Suppose 0*p = -2*p - 84. Let k be (-2)\/3*p*(-2)\/r. Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 282*r - 2. Let l be n(7). Suppose -8*k = -4*k - l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314 + -39.97\nAnswer: 274.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -5*c + 2, -w = 3*c - 7. Let a be ((-5)\/(-2)*w)\/11. Solve 8\/11*p**2 + a*p + 4\/11 + 2\/11*p**3 = 0 for p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**3\/3 - 6*b. Let w be i(-1). Find the third derivative of 3 - 3 + 5*x**5 + 15*x**w - 21*x**2 wrt x.\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-682)\/(-1265) + (-8)\/10. Let w = 0.345 + -0.045. Which is the biggest value? (a) w (b) 4 (c) o (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u - 4*u - 4*u - 11*u - 5*u + 29*u + 4*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*p = 14, 5*h - 6*p - 28 = -3*p. Suppose 2*o = -3*n - o + 36, -3*n + 4 = -h*o. Let z = 40 - 19. Calculate the remainder when z is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -53 + 5. Does 13 divide m\/(-18) - (-184)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118756151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12308 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3974000 to the power of 1\/2, to the nearest integer?\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1212 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {u: 4, p: 1, k: 3, q: 2, a: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30715 - 770?\nAnswer: -31585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**2 + 26540*k + 319056 = 0.\nAnswer: -12, 6647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4 - q**2 + 4 + 5*q - 2. Suppose -4*i - 2*t + 4 = 0, -14 = -6*i + 3*i + 4*t. Determine r(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 46*j - 24 = 0. Calculate the common denominator of 113\/24 and j\/(-1440)*3*27.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**5 - 145*w**4 + 650*w**3 + 1000*w**2 = 0. What is w?\nAnswer: -10, -5\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 7\/6*n**3 + 0*n + 0 + 1\/4*n**5 - 3*n**2 - 1\/12*n**4. Let u(q) = 8*q**2 - q + 4. Determine -6*b(o) + 11*u(o).\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -553.96 + 554. Let i = -21 - -15. What is the nearest to 2\/5 in 0.3, x, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/258993 and 43\/10710.\nAnswer: 44028810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025064928?\nAnswer: 2, 32033279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 v when four letters picked without replacement from avvjssjssvfjjvv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 120?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/12*6. Suppose -3*g - s - 8 = -2*s, -g = -2*s + 6. Let v be 3\/h - g\/4. Let m(a) = -12*a**2 + a. Calculate m(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011110110110010010111 (base 2) in base 15?\nAnswer: 1b2bda7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 7*c + 9. Let m be r(-6). Suppose -2*i + 20 + 11 = 3*z, -4*z - m*i + 43 = 0. Calculate the highest common factor of 28 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -15, -11, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20195287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*s + 23, -2*u + 4*s + 10 = -4. Find the common denominator of 1503\/(-648) + ((-3)\/(-8))\/u and -39\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y - 334. Determine g(-20).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**3 - 69*l**2 - 168. Factor m(t).\nAnswer: 3*t*(t - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2352159 - -2546641. What is i rounded to the nearest 100000?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 1. Let t be 2 + (-2)\/(b\/(-3)). Suppose -8 = -c - 4*a, -5*a + 1 = -t*c - 9. Solve c*z - 4*z = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h**3 - 1. Give w(2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) 48\/49 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 67*x - 354. Let q = 2 - -6. Let s(n) = 8*n**2 - n - 2 + 3*n - q*n - n**3. What is s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p + 1. Let m be k(-1). Let t(f) be the first derivative of f**3\/3 + 2*f**2 - 5*f - 1. List the prime factors of t(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 - y + y)*(-128*y - 18*y + 27*y)*(0 - y + 0) + 18*y + 3*y**4 - 18*y.\nAnswer: -354*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 a when four letters picked without replacement from affoaaaafofafajff?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 67, -0.02, -3?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 238 = -0*o. Suppose x + 104 = 2*j, -5*j + x - 4*x + o = 0. Suppose 6*s - j = s. What is the highest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 819463, 819462, 819461, 819460, 819459?\n\"Answer: -z + 819464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64289185?\nAnswer: 5, 47, 317, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*(k\/k**(-2\/7))\/k*k)))**(27\/7)\/(k**3\/k*k**(4\/3)))\/(k*k**(-1\/14)\/k*k*(k\/((k*k\/(k\/(k**(1\/7)\/k)*k)*k)\/k*k))\/k)**(23\/3) assuming k is positive.\nAnswer: k**(-53\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 22. What is the remainder when 88 is divided by t(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496141389 less than or equal to 496141390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1308*l**5 - 4*l**4 + 301*l**2 + 3?\nAnswer: 78480*l**2 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 35\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37904017*0.3\nAnswer: 11371205.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:58 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2374*k - 62 + 30 + 27 to q + w*k and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 2*q + (0 + 3 - 1)*(1 + q - 1) + 17 + q - 17 + (-6*q + 5*q + 7*q)*(4 - 1 + 2).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -4\/5, -76, 2, 35?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 9311*j**5\/5 + 9893*j**2\/2 - 10694. What is the second derivative of s(t) wrt t?\nAnswer: 111732*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 340753*f + 2747*f**2 - 340753*f - f + f + 2*f**2 + (4*f + 0*f - 2*f)*(2 + f - 2).\nAnswer: 2751*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -19\/2*p**2 + 9*p + p**3 + 8. Is l(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 - 906*k**2 - 745*k + 167665. What is u(181)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*g + 37 - 37)*(2*g**2 - 2*g**2 + 3*g**2) - 2*g + g**3 + 2*g in the form u*g**2 + h*g**3 + c + d*g and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2 + 1164*t\/5 + 234\/5.\nAnswer: -6*(t - 39)*(5*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**7*u*u*u)\/u*u*u**(-7)\/u)**(-7))**(2\/3))**(-43) assuming u is positive.\nAnswer: u**602","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13903040971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(2\/204). Suppose 1504 = -54*g - 2872 + 866. Let j = g - q. Solve r + 2*r + 2*f + 5 = 0, 2*r + f = -j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-7)\/196)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(6\/(-102)*1). Let p(f) = -4 + 13*f + 18 - 2. Let i(m) = 38*m + 35. Let r(j) = a*p(j) - 6*i(j). Find the first derivative of r(g) wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/826760127?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 39334488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2905 + 2713.9. Let t = r - -176. Round t to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 820*r + 825.\nAnswer: -5*(r - 165)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/4)\/(7\/14))\/(-5)*18\/(-4).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1016532\nAnswer: -5\/1016532","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/(198*(-10)\/150)*-1.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 463 and 2122855.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.3776807 rounded to one decimal place?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(7*a + 2*a**2 - 7*a)*(-2 + 2 + 2)*(1 - 4 + 5).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10333012 + -1112301?\nAnswer: 3220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a. Let k(t) be the third derivative of t**5\/10 - 5*t**4\/24 + 45*t**2. Calculate 2*k(w) + 11*o(w).\nAnswer: w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -3*c. Let i be c\/(-20) - 248\/(-10). Let b = i - 24. Sort -2, -1, b in increasing order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.01382.\nAnswer: -0.005528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 e when four letters picked without replacement from {e: 5, n: 1, l: 2, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*h + 3945 = 0, 2*h - 2645 = -4*z + h. Does 15 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-6) - -1290*(-56)\/10080?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13709 - 95933\/7. Suppose -2\/7*c**3 + v*c - 12\/7*c**2 - 16\/7 = 0. What is c?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.76426091 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69291113.\nAnswer: 47, 569, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 141538795193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2622*f - 702 = -2661*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28945 + -28794. Calculate the remainder when 877 is divided by n.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 8 - 4, -y + 20 = -4*g. Let m = 13 - y. Solve m*o + 2*c + 17 = c, -13 = 3*o + 2*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -2004653.\nAnswer: 155\/2004653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*n**3 - 107*n**3 + 59*n**3 - 1 in the form o*n**2 + g*n + x*n**3 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + -175a?\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233, 921, 2067, 3671, 5733, 8253?\nAnswer: 11231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45621, 46507, 47393?\nAnswer: 48279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 4*c - 4. Let m be 108\/(-5) + (-6)\/15. Let j be m\/(-4) - 7\/14. Suppose 0*f - f = -j. What is o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896.2699um in centimeters?\nAnswer: 0.08962699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2380 in decreasing order.\nAnswer: 2380, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001111101101001 - -10000001?\nAnswer: 100001111111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 11, 23, 11606.\nAnswer: -3, 2, 11, 23, 11606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -7\/15, 74.18?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Calculate the remainder when 5 is divided by 4 - (1 - o) - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttddstvvttttdtji. Give prob of picking 1 v, 1 t, 1 i, and 1 s.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-6)*((-923)\/65 - -16). Solve -h + 2*g - 5 = 0, 4*g - 2 = 3*h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0 + -2)**2.\nAnswer: -48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 10. Let x be (-5)\/(-30) - 35\/(-6). Let m(j) = 3*j + 9. Let p(v) = x*m(v) + 5*w(v). Is p(6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 1 + -17 - (43 - 15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (5 + -2) - -10) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 682 and 3938.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 83 = -91. Let i = 31 - n. Solve i*z - 15 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 2*h - 5. Let d be k(-4). Suppose -7 = -3*j + 2*c - 4, 0 = d*j - 3*c. Suppose -s + j*v + 36 = 0, 0*s + 85 = 5*s + 4*v. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13930 divided by -1393?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 119, 168, 255, 392, 591, 864, 1223?\nAnswer: 1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25997 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 2, h: 1, y: 1, j: 1}. Give prob of sequence hj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Suppose 7*n = 11 + 24. Let s(p) = 47*p**3 - 57*p**2 - 5*p. Let l(u) = n*h(u) - s(u). Find the third derivative of l(q) wrt q.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -893741*x**4 + 893783*x**4 + 380*x**2 + 11*x**3 + 24*x**3 wrt x?\nAnswer: 1008*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 6757.\nAnswer: 67570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, b: 4, h: 4, c: 1, a: 2}. What is prob of picking 1 a and 1 c?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 11:29 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -545*k**4\/24 - k**3\/2 + 42*k**2. Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.8. Let i = -1.2 - k. What is the second biggest value in -3, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832))*-4 + (3 + -2*sqrt(832) + sqrt(832) - sqrt(832)))**2.\nAnswer: 96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 115*w**2 + 78*w + 2264. Calculate h(114).\nAnswer: -1840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65011.90861 + 2054.41121. Let d = r - 67067. Let x = -0.68 - d. What is x rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9) - (-8)\/(-3). Let k = 0 - n. Let r = 8 + -5. Calculate the least common multiple of k and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -275428*u**2. Let k(a) = -44*a**2. Calculate k(y(p)).\nAnswer: -3337865660096*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/10 and (-30)\/(-195) - (-122)\/(-286).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.48+-0.2\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/2, 109947, -0.01, -2, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38651653 or -38651655?\nAnswer: -38651655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/640 and 9\/640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 - 1 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, k: 1, j: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/25)\/((-2)\/5). Let q(b) = 4*b - 4. Let m be q(f). What is the first derivative of -j**3 - 2 + 12*j**2 - m*j**2 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 131*i + 550*i - 42.\nAnswer: 681*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -24. Let m(q) = -7*q**3 - 2*q**2 + q + 2. What is the remainder when 186 is divided by m(b)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 20*y - 22*y - 24, -2*j = 3*y - 3. Solve -18*t - j - 12 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8 + 602?\nAnswer: 6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.25 - -21690832849.\nAnswer: 21690832741.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71 and -0.0883.\nAnswer: 6.2693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/(-210))\/((-50)\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.82509194 rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 5, z: 5}. What is prob of sequence pszs?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -64 * 148\nAnswer: -9472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108637888.\nAnswer: 2, 3, 7, 1568927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/39188 and 43\/1212.\nAnswer: 117564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1002110210?\nAnswer: 1002110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -47002309 times 0.1\nAnswer: -4700230.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 185 + -186. Let v(z) = 2*z**2 - 6*z - 5. Let h(o) = -o - 1. Suppose 6*c - 49 = -13. Give c*h(m) + p*v(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 400004020 (base 5) to base 13\nAnswer: 429577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506938 times -125?\nAnswer: -188367250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 4*b**2 - 4*b + 3. Let l be f(2). Suppose 5*i + 5*t = -15, 5*i + 0*t - t - l = 0. Suppose -o + 12 = -i*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1580*g. Let u(w) = -2*w**2 - 4. Calculate u(h(l)).\nAnswer: -4992800*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - (12 - 6) - (-23 + 17) - (4 + 9).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432099358?\nAnswer: 2, 557, 1285547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and -47\/171.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171412?\nAnswer: 2, 11, 79, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/(-105) + (-1)\/(-3). Sort -2, t, 3\/2.\nAnswer: -2, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, -2\/7, -7\/3 in descending order.\nAnswer: 3, -0.2, -2\/7, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/8 + 3 - 157\/2. Let z = 115 + p. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -108*g**2. Let l(y) = -1188931*y. Give z(l(a)).\nAnswer: -152664147658188*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/4*(0 - 2). Let y = 7220.5 + -7220.6. What is the closest to -2\/3 in y, g, -2\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23996 - -23990. Which is greater: k or 19\/77?\nAnswer: 19\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/w*w*((w*w\/w**(-4))\/w)\/w)**(3\/10)*(w*w**1)**(-26)*(w*(w*(w**(-1\/4)*w)\/w)\/w)**(-1\/21) assuming w is positive.\nAnswer: w**(-35669\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 168782 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 485. What is the remainder when 2665 is divided by p(-61)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 11. Suppose 3*m = -m - 24. Is 17 a factor of z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/8 (b) -4 (c) 2 (d) -0.022\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/9 + 107\/45. Put 0.5, -0.36, d in descending order.\nAnswer: 0.5, -0.36, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -40*l + 327. Let t(z) = 67*z - 654. Give -5*r(v) - 3*t(v).\nAnswer: -v + 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2681161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113319023?\nAnswer: 2939, 38557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21241 by 2.\nAnswer: -21241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4 + m**2 - m**3 - 1 - 3*m**2 + 4 - 9. Let w be (1\/1)\/(3\/(-9)). Calculate a(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7397757 and 21.\nAnswer: 51784299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 150\/14 - (-2)\/7. Let j = -11 + l. Suppose j*k = 4*k - 28. What is the lowest common multiple of 5 and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2, -9 in ascending order.\nAnswer: -9, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1566*d + 1762*d = 6272 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 1 - 2*z**2 - z**2 + 6*z + 1. Let x(b) = b**3 + 5*b**2 - 2*b - 6. Suppose 0 = -4*i + 5*i + 5. Let f be x(i). Determine k(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 9, 4*w - 2*p - 238 = 0. Suppose -17*l + h = -12*l - w, 5*h + 41 = 3*l. What is the highest common divisor of 20 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n**2 + 57*n + 20. Let p(w) = -13*w**2 + 33*w + 10. What is -5*p(y) + 3*u(y)?\nAnswer: -4*y**2 + 6*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10113?\nAnswer: 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150734\/53 - -2844. Let y(w) = -w**3 - 5*w**2. Let c be y(-5). Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12.0000009. What is f rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*(-31)\/((-1302)\/60)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1910 + 1932 - (4 - (3 - 28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 57990 = x. Suppose -4*v + 5*m + x = -5*v, 4*v - 4*m = -116004. Round v to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/19)*a*a*a**(-7))**(-30) assuming a is positive.\nAnswer: a**(2220\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**3 - h**2 - 8*h. Let x(t) = -4*t**3 + t**2 + 7*t - 1. Let q(b) = -2*g(b) - 3*x(b). Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-8)\/(-16))\/(1\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254 - -434. Let n = -1244\/7 + k. Calculate the common denominator of n and -61\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let s = -45 + 47. Let i be c - s*(2 - 1). Do 1\/6 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7110600*v**2 + 10240745 wrt v?\nAnswer: -14221200*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 183 - l - 62 - 55.\nAnswer: -l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = d + 4, 0 = -4*d - 2*z - 5386 + 5426 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3) - (-35)\/21*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220688473?\nAnswer: 23, 31, 309521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 151552 and 16983?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -2*o**2 + 1\/6*o**3 + 0 - 5*o. Let s be 4\/((-5)\/(0 - 5)). Give h(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(4 - (-3 + 6)). Suppose 54*p + 40859 = 61*p. Differentiate 16*f**3 + 5837*f**2 - p*f**m - 23 - 8 with respect to f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28\/59 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497109.1 hours to seconds.\nAnswer: 1789592760","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 31, 311 in descending order.\nAnswer: 311, 154, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4414.109 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 1454466700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * -0.05\nAnswer: 0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*i**2 + 706*i**2 + 2363*i**2.\nAnswer: 2647*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49245 is divided by 24604.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/24)\/l)\/(l\/l**(-10\/7)))**(48\/7) assuming l is positive.\nAnswer: l**(-1166\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 140. Suppose t - 77 = -c. Let r be (-23)\/(-7) - (-2)\/(-7). Solve 9 = 2*o - t*w, 2*o = -r*o + 5*w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20247575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 576799, 1153633, 1730467?\n\"Answer: 576834*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/400 and -37\/80?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 + 6*g - 6. Let s(o) = -o**2 - o + 1. Suppose 2*k - 65 = 6*k + 3*t, k + 25 = t. Let r be (-12)\/(-20) + 132\/k. Calculate r*s(d) - w(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030411 (base 8) in base 4?\nAnswer: -2003010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12033 + 144539\/12. What is the common denominator of w and 40\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11b + -c?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68364, -68397, -68432, -68469, -68508?\nAnswer: -68549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-65))\/(4\/26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 57. Suppose 0 = -5*q - 3*s + 697, -o*s + s = -5*q + 669. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2 - 18. Let n(a) = -2*a - 6. Let b(f) = -f - 5. Calculate m*b(o) + 3*n(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k = -2*c + 425, 62508 = 2*k + 2*c + 62474 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p + 5 - 6*p + 10*p. Let y(h) = 5*h - 4. Let l = -180 - -178. What is l*v(a) - 3*y(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.9658177 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -515 or -2579\/5?\nAnswer: -2579\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31278 = 31*c + 31030 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7756 + -7760. What is the nearest to 23 in 2, o, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-16))\/i**(4\/3) assuming i is positive.\nAnswer: i**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnrnnr. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011002211 (base 3) to base 5.\nAnswer: -2323413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 2*r**3\/3 + 1. Let f(o) be the second derivative of -2*o**3\/3 + 4*o. Calculate f(i(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by 1.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10158652?\nAnswer: 2, 7, 41, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*c - 39, 2*o + 21 = o + 5*c. Let j be -1 + -3 - (o + 3). Suppose y = -0 + j. Solve -y*f = -0*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18*x + 150. Let a be p(9). Is a at most as big as -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -11*f + 7*f. Calculate the greatest common factor of 35 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -348, 3.\nAnswer: -348, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -0.4 (c) -1\/4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 8*s**3 + 0*s**3)*(32*s - 22*s + 15*s).\nAnswer: 225*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/62911 and 23\/440377.\nAnswer: 440377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 3)\/(2\/(-7)). Let t(h) = -h**3 - 8*h**2 - 10*h - 9. What is the tens digit of t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19124260 and 590?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6 - 150\/(-9). Let g = 0.37802 - 0.17802. What is the second biggest value in -0.3, g, c, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.61488 - -0.05?\nAnswer: 5.66488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046898846 rounded to 6 decimal places?\nAnswer: -0.00469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 - 27533*c + 441329. Calculate k(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 - 13110*k**2 - 6175795*k - 36583890 = 0.\nAnswer: -2009, -607, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 152337.\nAnswer: 1218696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9602.9994879 + -9603. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 + -87. Let x = u - -26. Which is the third biggest value? (a) x (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 11 - 44 = -7. Solve -3 = 2*q - 5*d, 4*q - d + h = -11 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnknkknnknnnnnk?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.0326434 - 0.03?\nAnswer: -7.0626434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 270*j + 47. Let y(t) = -89*t - 16. Give -4*a(p) - 11*y(p).\nAnswer: -101*p - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i**2 - 27. Let q(p) = -6*p**3 + 11*p**2 + 136. Calculate 22*k(u) + 4*q(u).\nAnswer: -2*u**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-12))\/((-40)\/(-45) - 1). Let k(i) be the first derivative of 0*i**2 + 0*i**n - 2*i + 7\/4*i**4 + 8. Differentiate k(r) wrt r.\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/1)\/(-1)*12\/(-21). What is the smallest value in z, -10, 0.4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 8*c - 4 - 3*c. Let v be h(3). Suppose -4*b - 2*g = 2*g - 56, b = g + v. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + f - 5*f + 6. Let g(v) = -6*v - 84. Let z(u) = u + 17. Let b(n) = 2*g(n) + 11*z(n). Let x be b(14). What is s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/19)*g)\/(g*g**(-13)))**(1\/17) assuming g is positive.\nAnswer: g**(268\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:11 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7038412?\nAnswer: 2, 43, 151, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 194*v**6\/15 - 17*v**2\/2 + 239*v. Find the first derivative of r(d) wrt d.\nAnswer: 1552*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35962 + 51319. Is 248 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + 7*j + 4*j)*(7*j - 26*j + 108*j + (-j + 5*j + j)*(3 - 3 + 1)) as c*j + w*j**2 + t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 71134.\nAnswer: 14226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l - 10. Let o be u(7). Suppose -o = 5*y + 38. Let c = y + 41. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -895 equal to -895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2669506985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 1.6, 8\/9689, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s - 122. Let n be v(-14). Solve -2 = -3*m + 2*w, -4*m - 2*w = -n*w - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inioiaariiaaoraiaoa. Give prob of picking 1 n and 2 a.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -10*f - 16. Let g be s(-16). What is the highest common factor of 324 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 174, 238, 308, 396, 514, 674?\n\"Answer: 2*f**3 - 15*f**2 + 101*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -23.8. Let n = 5.1 - t. Let u = n + 1.1. Sort u, 0.1, -1\/11.\nAnswer: -1\/11, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*(-4)\/(9 - 1). Let o = f - 16. What is the units digit of -14*(-2 - 12\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 + -2 + 1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 252407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-1 - 0)*4. Suppose 2*l = 3 - k. What is the highest common factor of l and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 64.\nAnswer: -2, 0, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -414423570 divided by -5?\nAnswer: 82884714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*i\/(i*i**(2\/107))*i)\/i)\/i)*i)**(2\/77)*(i\/(i\/((i*i**(-18\/5)\/i)\/i)))\/(i**(-29)\/i) assuming i is positive.\nAnswer: i**(1048513\/41195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 6. Suppose 9*m - r*m = 20. Suppose s = 4*s - 3*a - 9, -4*s + m*a = -11. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 33*h + 34. Let t be f(16). Calculate the greatest common factor of 114 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -50, -100, -180, -296, -454?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9797.\nAnswer: 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(225\/15 - (10 + (-1261)\/(-247)))?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/64)\/(4\/(-16) - 2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 34, -1, 4, -5 in descending order.\nAnswer: 34, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-145)\/45 + 4\/18. Let j(s) = s + 6. Let m be j(r). Factor m - 4 + 14*k - 2*k**2 - 3 - 8*k**2.\nAnswer: -2*(k - 1)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 38*s**2 - 84*s - 1801. Determine i(-37).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61.8924 and 303690.48.\nAnswer: 303752.3724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 485889, 1943532, 4372935, 7774098, 12147021, 17491704?\nAnswer: 23808147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*k**2 - 5448*k**2 - 1051*k**2.\nAnswer: -6869*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-20)*(-80)\/220\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o**2 - o + 5. Let c(s) = 5*s**2 - s + 3. Determine -7*c(y) + 4*u(y).\nAnswer: y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1159673 - 6*o + 2319351 - 1159678.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1277719 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -652*d. Let g(w) = -276*w. Determine g(s(l)).\nAnswer: 179952*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 - 2*d + 4)*(-5 + d - 1 + 5) in the form c*d + o + u*d**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 66.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 271386 or 271360?\nAnswer: 271386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 655960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28344 and 28344?\nAnswer: 28344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2615 + -2614)\/(2\/22*2*(-1)\/2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - -5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057 is divided by 11\/(198\/1722) + (-12)\/(-9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 107, 182, 291, 446?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2 + 1\/4*b**4 + 1\/3*b**3 + 0*b + 0*b**2. Find the third derivative of l(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11258 = w - b - 3436, 4*b + 29378 = 2*w. Suppose 12*s = -2*g + 9*s + 5866, 5*g - s = w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 62486 and 5.\nAnswer: 62491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -2. Let u = s - 10. Suppose -t - t = u. Solve -l = -t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4991, -10196, -15401?\n\"Answer: -5205*z + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**3 - 73*k**2 - 36*k + 1. Let h be y(-36). Let f be (h\/(-30)*-4)\/((-2)\/(-6)). Factor -2\/5*s**3 - f*s + 7\/5*s**2 + 0 - 3\/5*s**4.\nAnswer: -s*(s - 1)*(s + 2)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*((-10)\/(-25))\/(((-52)\/(-10))\/13))\/46.\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26071*d = 26095*d - 62544. Is 2606 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2572 and 184068?\nAnswer: 118355724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k - 19. Let o(q) be the first derivative of -2*q**2 + 21*q - 20. Let i(h) = -3*o(h) - 2*z(h). Calculate the remainder when 142 is divided by i(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizizrzzzuuzzzi. What is prob of picking 2 z?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 3, g: 4, q: 3}. Give prob of sequence bbqb.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68732*j**3 + 11*j**2 + 10469209*j.\nAnswer: 412392*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*b**5*d**3 - 2801*b**5 - 202*b*d**2 - 331*d**3 wrt b?\nAnswer: -1040*b**3*d**3 - 56020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -331. List the prime factors of r.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2664\/8 + -5)\/2?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 58. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8743 is divided by 438?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4918?\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.42 and -128.99188.\nAnswer: 54.1765896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.71 + -2.99. Sort 0, v, 3 in decreasing order.\nAnswer: 3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 46, -592 in increasing order.\nAnswer: -592, -4, -2, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6724.5 and -1.\nAnswer: -6724.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -109, -113, -117, -121, -125?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 43 = -7. What is the third derivative of -23*f**m - 11434*f + 18*f**4 + 30*f**4 + 11434*f wrt f?\nAnswer: 1152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19539264*d**2*v**3*w - d**2*v - 2022075*d*v**2*w + 3*d*v*w wrt v?\nAnswer: -117235584*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4133 - 2559. Suppose 6*g - l = 4*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2877028 and 0.1?\nAnswer: -287702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 688.6441s?\nAnswer: 688644.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from gwggxxwgggwwx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -c + 2, 2*c = 2*k - k + 1. Suppose 5*j + k = 11. Let o be 16 + j - (4 + -1). Calculate the highest common factor of o and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11172 - -11174. Let j = -0.01 - 0.03. What is the third biggest value in j, p, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 76*m - 235. Let z be n(6). Let a(d) = 13*d - 14. Let b be a(5). Calculate the highest common divisor of b and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150.93 + -152. Let q = w + 0.07. What is the third smallest value in q, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1876 or -194?\nAnswer: 0.1876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1117, -1429, -1741?\n\"Answer: -312*o - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Suppose -5*b + 0 + 20 = -2*z, -g*z + 34 = 4*b. Is b 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 104726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7409 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 21. Let h(g) = 4. Calculate 22*h(r) - 4*w(r).\nAnswer: -4*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9353522 is divided by 400?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5653201 plus 108?\nAnswer: -5653093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouqqquuoqquu. What is prob of sequence ou?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 15. Find the second derivative of -3*n**g + 7*n - n**3 + n**3 - 3*n**3 wrt n.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let b(u) = -40*u + 10*u + 17*u. Give x(b(p)).\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gejic. Give prob of picking 1 g, 1 i, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.88592176 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-18) - (-6)\/(-3). Which is the nearest to 1\/10? (a) -3 (b) -0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -51. Let g = 66 - q. Are g and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 150. Calculate the highest common divisor of 52 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415352616 divided by 7448\nAnswer: -55767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 1\/2*y**2 + 1\/10*y**5 + 1\/2*y**3 - 2*y + 0 - 1\/3*y**4. List the prime factors of m(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 3*k - 1. Let d be o(-3). Let s = d - -34. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + t + 35*t - 3.\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.4, 2, -3, -0.07?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z + 24. Let k(o) = 4*o + 3. Let c(h) be the third derivative of h**4\/4 + 5*h**3\/6 - 11*h**2. What is z*k(g) + 5*c(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Let c(f) = -2*f + 3*f - 12*f. What is c(h(b))?\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 21*q**2 - 59*q**2 + 27*q**2 + 5 - 2*q**3 + 7*q**2. Let g(u) = 1. What is 5*g(i) - h(i)?\nAnswer: 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -981854840 rounded to the nearest 100000?\nAnswer: -981900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1709, 6691, 14965, 26537, 41413?\n\"Answer: o**3 + 1640*o**2 + 55*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 2. Let b(d) = 6*d - 1. Let k(v) = -6*b(v) - 5*f(v). Let x(m) = -6*m - 21. Calculate 21*k(s) - 4*x(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 522 and 319.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 3*y + 6*y - 15*y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 7*t - 14. Let j be u(-9). Suppose -4*w + 2 = -2*n, 4*w - j = n + 1. Is 3*(-1 + 2\/n) - -2974 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 454*k + 2695. Calculate s(-6).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/120 - m**5\/15 + m**4\/6 - m**3\/3 - 2*m**2. Let q be 6\/(-9) + 4\/6. Suppose 5*d - 2 - 8 = q. What is x(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -461, -117 in descending order.\nAnswer: 3, -117, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o + 56. Let x be m(4). Let v = 25 + -21. Suppose 0 = -5*z + v*p - 24, 3*z + p - 6*p + 4 = 0. Put 4, z, x in ascending order.\nAnswer: z, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 + -4 - (5 + -68)) - -14?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 836948 or 836316?\nAnswer: 836316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -781 - -1322. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 41*o**2 - 116*o - 1347. Calculate f(-43).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 208*q + 917 - 3205 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from typpjptppzpy?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 76, -20 in increasing order.\nAnswer: -20, -13, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -298, -694, -1254, -1978, -2866, -3918?\nAnswer: -5134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 1, l: 1, b: 1, y: 1}. Give prob of picking 1 b and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -212112202?\nAnswer: 212112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*p*x + 9110*c**3*p + 205*c**3*x - 5*c**2*x + 4*c**2 + 211*c*p*x + 18*c*p wrt c?\nAnswer: 18*p*x + 54660*p + 1230*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1006.\nAnswer: 4024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o - 0. Let t(w) = 58253838*w + 2*w**2 - 58253832*w + 0*w**2. Let l(f) be the first derivative of 2*f**3\/3 + 5*f**2\/2 - 2. Calculate o*l(p) - 4*t(p).\nAnswer: 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**(-37)\/(d\/(d\/(d*d**(3\/2))))**19 assuming d is positive.\nAnswer: d**(-539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001339654 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.44 + 0.06. Let t = -2.19 - -1.89. What is the fourth biggest value in t, r, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1734258 - 990258. Round c to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 218*y - 91*y = 6105 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*-1*(-25)\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14145 - 14142. Suppose -6*c - 4*j + 6 = -4*c, 0 = -3*c - 4*j + 3. Sort -1\/4, -1, p, c in descending order.\nAnswer: p, -1\/4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 smaller than 1132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 3*z**3 - 5*z**3)*(77*z - 28 + 143*z**2 - 78*z - 145*z**2).\nAnswer: 8*z**5 + 4*z**4 + 112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.311743 millennia in years?\nAnswer: 8311.743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t + 2. Let z(r) = 5*r - 2. What is 4*q(c) + 5*z(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2111121 (base 3) to base 11\nAnswer: 140a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*q - 56, 2*q - 6*u + u = -28. Let l = -46 - -24. Let t = q - l. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 14. Let t be i(8). Suppose t*c = c. Is 17 a factor of 8\/2 - (c + -24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/53393 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, d: 2, i: 2, z: 1, t: 4, c: 4}. Give prob of picking 1 c and 1 g.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 4*h - h)*(-4988 - 3265 + 1185 - 7786 + 975)*(0 + 5 - 4) as w*h + x and give w.\nAnswer: -13879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206037 is divided by 360?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -0.028 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-72))\/((-2)\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 17*z**4\/12 + 8*z**3\/3 - 11*z - 8. Let x(r) be the first derivative of m(r). Find the second derivative of x(g) wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 402*t**5 + 574*t**3 + 2242. What is the third derivative of l(f) wrt f?\nAnswer: 48240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10*k = -16*k + 262, 5*c = -k + 711. Calculate the least common multiple of c and 208.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 10*b + 2. Let k(o) = 6*o**2 + 30*o + 5. Let w(u) = 3*k(u) - 8*s(u). Let x be (-9 - 1) + 8 + -5. Give w(x).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*t - 18*t - 3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 15*r - 171. Let b(y) = 3*y**2 - 7*y + 85. Let l(c) = -9*b(c) - 4*d(c). Let t be l(8). Solve -t*i + 12*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131360 - 5.\nAnswer: 131355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186837578?\nAnswer: 2, 173, 539993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (3 - (-3 - 3)) - 30.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2330 - -2174?\nAnswer: 4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24831\/(-18) - -34 - (-2)\/4. Which is smaller: -1348 or u?\nAnswer: -1348","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 6 = -7*t. Let q be t\/10*(135\/(-3) + -1). What is the first derivative of 19 + 2*k**3 - k**3 - 11*k**3 - q wrt k?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1935\/2*a + 150*a**2 + 1485 - 5\/2*a**3.\nAnswer: -5*(a - 66)*(a + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*l - 10. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -2 (c) 3\/8 (d) -1558128 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 5*p - 246. Let g = p - -96. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47865931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 147*a**3*m**3*o - 44*a**3*m**2*o - 2*a**3 + 2*a*m**3*o - 3*a*m - m**2 wrt m.\nAnswer: 882*a**3*o + 12*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 17 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85132591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 2:15 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13*z - 2. Let p(u) = 7*u - 1. Let g(l) = -11*p(l) + 6*s(l). Calculate g(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 827\/5 + -7658\/45. Calculate the common denominator of -37\/379 and p.\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {k: 8, j: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.25 - 0.85. Round d to 0 decimal places.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7224796 divided by -6.\nAnswer: -3612398\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*i + 33. Let c(t) = -16*t - 2*t**2 - 6*t**2 + t**2 + 11 + i*t**2. List the prime factors of c(-14).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d\/(d\/d**(-2)*d))\/d*d*d*d))\/d**(1\/2)*(d*d\/(d*d\/(d*(d**(-1)*d)\/d)))**(-12) assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.14, -20, -0.4, -11.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 2*k - 1. Let l be i(-4). Calculate the highest common divisor of 287 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*a**2 - 772*a**2 + 3934*a**3 - 400*a**2.\nAnswer: 3934*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 8706*o + 82*o**2 - 8706*o as v*o + w + x*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 37910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2, -4, 10, 5, -21 in increasing order.\nAnswer: -34, -21, -4, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51.06 and 0.15?\nAnswer: -7.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -123, -156, -193, -228, -255, -268?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**3 - 2*j**2 - 4*j - 16. Let k(x) = -4*x**3 + 3*x**2 + 3*x + 14. Let o(h) = 4*k(h) + 3*q(h). Calculate o(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 1, k: 1}. What is prob of sequence ki?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*-5)\/(-2*sqrt(250)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1689331 and 7574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 + 1. Let b(s) = -128*s**2 + 2*s. What is b(o(j))?\nAnswer: -2048*j**4 - 1016*j**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 24*p**2 - 2*p - 2. Does 20 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 1)*(-4*t**2 + 4*t**2 + 2*t**3) + 0*t**3 + 0*t**3 - t**3.\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 2*y**2 - 2*y - 1. Suppose 2*g + 3 = 9. Give s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/800250 and -41\/462?\nAnswer: 5601750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 1 + 19. Suppose -4*n = -4*j - 6*n + 22, 2*n = 3*j + 1. Let s be (j - 1) + 1 + 6. Calculate the greatest common factor of s and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1946 divide 2873140564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 8) to base 13\nAnswer: -1b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 + 69 + 108*79 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -4, 2, -120\/7, 0.4 in decreasing order.\nAnswer: 2, 0.4, -4, -120\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:20 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4444 + -4121021?\nAnswer: -4131020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 32\/41?\nAnswer: 32\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.35741 tonnes?\nAnswer: 2357410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m + 4. Let l be 12\/9*(-18)\/4. Calculate the remainder when k(l) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(289\/(-6936)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -62 or -1839\/29?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-3\/17)*b\/b**(-1) assuming b is positive.\nAnswer: b**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -277*q + 9. Let s(p) = -2*p - 2. Determine -b(u) - 5*s(u).\nAnswer: 287*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33868653 divided by 3\nAnswer: 11289551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q + 1. Suppose 4*s = -s + 50. Let y = s - 11. List the prime factors of i(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 - 1068*w**3 + 2156*w**2 + 1068*w - 2152 = 0. What is w?\nAnswer: -269, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68 + 702?\nAnswer: 76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.51 and -0.96?\nAnswer: -1.4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 84*l + 4. Let g(k) = 2*k**2 + 63*k - 3. Let c(x) = -4*g(x) - 3*y(x). Let h(w) = 22*w. Give h(c(i)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 0*c - c. Let l(h) be the first derivative of 13*h**3\/3 + 10. Calculate n(l(t)).\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -93, -3\/4 in descending order.\nAnswer: 6, -3\/4, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 9*l + 41*l = 14785988. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 6*f**2 + 3*f + 2. Calculate the remainder when t(4) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -551 - -556. Solve -23 = -d + h*o, 4*d + o - 3 + 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from mozomlxmyozmmz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -f**3\/5 - 81*f**2\/5 - 1599*f\/5 + 291. Factor m(t).\nAnswer: -3*(t + 13)*(t + 41)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136\/9 - 46\/3. Suppose 0*o + 13 = 5*o - 4*u, 3*u = -2*o - 4. Which is greater: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 - 7*i**2 + 4*i**2 - 2*i**2 - 6*i**2.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + sqrt(135)*-1)\/sqrt(3))\/(-1*sqrt(1089)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -137163b1 - -3?\nAnswer: -137163ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 2*p + 36 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/4*y**4 + 0 + 5775\/4*y**2 - 335\/4*y**3 - 5445\/4*y = 0. What is y?\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 101001111001011010?\nAnswer: 101001111001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7715, 15599, 23653, 31877, 40271, 48835?\nAnswer: 57569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -7\/5 (c) 102 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 + 1 - z + 2*z**2 + 1. Let v be k(-4). Solve 5*b + v = 21, 2*u - 9 = -5*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -58*z + 252. What is the tens digit of k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4763 at least as big as 0.015386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.4597\nAnswer: 1.3791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 - 17 = 0. Suppose -f = o*g - 358, g - 139 = -f + 223. What is the greatest common factor of f and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 39. What is the derivative of -3*y**3 - 8*y**2 + 8*y**2 - y**3 - q wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -3*u - 11, -u + 10 = 5*v - 6*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u + 172 = 419 + 468 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b - 14*b + 24*b + 0*b - b - b + 3*b - b + 0*b + (3 + b - 3)*(0 + 3 - 1))*((b - b - b)*(b - b + b) - 4*b**2 - 6 + 6 + b**2 + 0*b + 0*b).\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12920747*p*w + 342808569*p - 3*w wrt w.\nAnswer: -12920747*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 181\/(50680\/(-17584)) + (-288)\/(-6)\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87699 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 41. Calculate the remainder when y(18) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14550064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -108*u**4 + 6336*u**3 - 4143*u**2 - 1911*u - 174 = 0.\nAnswer: -1\/6, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -737 * 71061.\nAnswer: -52371957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11300445 + 301?\nAnswer: -11300144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o - 23. Let m be y(13). Suppose -630 + 63 = -m*x. Calculate the highest common divisor of x and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q + 889 - 919 + 1560 = 0. What is the highest common divisor of 10880 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42983931 and -175?\nAnswer: 42983756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11562\/7 + 1652. What is the closest to -0.6 in c, 5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-1 - 0)\/(-1). Let h = 0.03 + -0.33. Let p be (-2)\/4*1*-2. Which is the closest to p? (a) h (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1847 + -1845.7. Which is the biggest value? (a) j (b) 54 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6887? (a) -5\/6 (b) 1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 589*u - 23 - 9 - 5.\nAnswer: -589*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 3131*l**2 + 15682*l + 3. Give i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 383436162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**5 - 6769*n**2 - 13820*n wrt n.\nAnswer: -80*n**3 - 13538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 13. Let u be n(4). Let b(k) = 10*k. What is b(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310153 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -55*q**4 + 264075*q**3 + 2284160*q**2 + 2838180*q - 1346800 = 0.\nAnswer: -7, -2, 4\/11, 4810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1 (c) -2 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 5*w**2\/2 + w + 1. Let x(o) = 19*o**2 + 1. Calculate the smallest common multiple of r(3) and x(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14944274 divided by -23314\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 3*p + 4. Let f be t(-3). Let i be (4 + -1)*(-6 + f)\/(-2). Solve r + i = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.2 (c) 11 (d) 0.415\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -299442280*g - 168265021 wrt g?\nAnswer: -299442280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-27)*(-18)\/144.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -63?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let y(f) be the third derivative of -f**4\/4 - f**3\/2 + f**2 - 101*f. Determine -15*u(i) + 5*y(i).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**3 - 14552*u - 162246 with respect to u.\nAnswer: 9*u**2 - 14552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 2*h - 2 + 3 + (2*h - 2*h + h)*(-4 + 4 - 1) - 5*h - 3*h - h + (h + 3*h - 2*h)*(1 + 1 + 0).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 21375282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 495833641, 495833642, 495833643?\n\"Answer: z + 495833640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:12 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.203 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhh when three letters picked without replacement from hhhhdhdh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**7\/210 - o**6\/20 - 323*o**3\/6 - 51*o**2. Differentiate l(x) with respect to x.\nAnswer: -4*x**3 - 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -38*f + 2. Let o be n(-3). Suppose 0 = 2*q - 5*q - i + o, 5*i = 25. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**3 - b**2 + 14*b**3 - 8*b**4 + 8*b**4 + 3*b**6 - 115*b wrt b?\nAnswer: 360*b**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 9 + 3)*(s**5 + 2*s**5 - s**5).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -27841\/1469 greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(3 + 65\/(-10)). Let h = p + 39. What is the remainder when 23 is divided by h\/112 - (-178)\/14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 14*i - 138 = 0. Let z(h) = -7*h - 36. Give z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13003 divided by 380\nAnswer: 13003\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r. Let g(i) be the first derivative of -9*i**4 - 57 + 6*i**3 + i**3 + 10*i**4 + 6*i**2 - 3*i**3. Calculate -12*b(q) + g(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*z + 194, 3*y = -z - 0*z + 287. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q - 15. Is -2 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*n + 58*n = -51*n + 1351 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 12*d = -106. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -4116\/1243 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -5. Suppose 2*l - 5*a - 75 = -p*a, 3*l - 2*a - 85 = 0. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41291732\/21465 - 158747\/81. Let v = 181\/5 + d. Which is bigger: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69172 divided by -4.\nAnswer: 17293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -12, 0 = 11*p - 9*p - 2*d - 18. Find the third derivative of 18*q**2 + 3*q**3 - 2*q**3 - p*q + 57*q**4 - 84*q**4 wrt q.\nAnswer: -648*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4222, -0.3, 1\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 + -158. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (4\/(-6))\/(24\/(-4428))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*d + 15, 5*d + 20 = j + 28 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*w + 99 = 0, w = 4*f - 5*f + 20. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {b: 3, u: 1, y: 2, j: 3, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b (base 12) to base 8.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 19 (b) -1\/2 (c) -2\/13 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 66?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19395 and 8620?\nAnswer: 77580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1\/5))\/(v**2*v))\/(((v**(2\/3)*v)\/v)\/((v\/v**(-6))\/v)))**(2\/21) assuming v is positive.\nAnswer: v**(106\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 - 17*a + 21. Let t be o(9). Suppose 3*q - 3*n = t, q - n - 308 = -4*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 52\/7023, 1.2 in increasing order.\nAnswer: 52\/7023, 1\/4, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 475664 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -9*k - 20*k**3 - 7 + 6*k**3 + 17*k**2 - 1 + k. Let p(x) = 5*x**3 - 6*x**2 + 3*x + 3. Let i(j) = 4*a(j) + 11*p(j). Give i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 62, -2\/5 in ascending order.\nAnswer: -4, -2\/5, -0.2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 2, g: 5, h: 9}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a9 - -57?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (9 - 6) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738064*a + 1738064*a - 5*a**2 + 2*a**3 + 2*a**2.\nAnswer: 2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1723*0.335.\nAnswer: -577.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72938 is divided by 36414.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 9*b**2 - 9*b. Let s(k) = 0*k - k**3 + 3*k**3 + 6*k**2 + 8*k**2 + 14*k. What is 8*c(z) + 5*s(z)?\nAnswer: 2*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, -0.04, -1\/9, 2, -0.2, -2 in decreasing order.\nAnswer: 452, 2, -0.04, -1\/9, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/80084 and -71\/76.\nAnswer: 1521596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -831\/11 + 833\/11. Let b = 0.1 - 0.2. Sort b, m, -2\/5, -3 in descending order.\nAnswer: m, b, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1560 and 97334952?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -1103, -2650, -4817, -7604, -11011, -15038?\nAnswer: -19685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031 divided by -98202?\nAnswer: 677\/32734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44232*a - 6*c = 44233*a - 97, 12*a = -c + 28 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29795781 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -8. Suppose -5*o - 11 = 2*l - 77, c*l - 2*o = 99. List the prime factors of l.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 6*s**2 - 8*s - 39*s**2.\nAnswer: -33*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8894 in -12, -1, -3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12177 + 17459. Calculate the greatest common factor of 2224 and v.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -43 + 0*n**4 + 0*n**3 + 0*n - 19\/2*n**2 + 13\/3*n**6 + 1\/5*n**5. What is the second derivative of k(f) wrt f?\nAnswer: 520*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142118 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 517 (base 9) to base 3\nAnswer: 120121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -2\/13 (c) -2 (d) -3 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 22517.51 milligrams?\nAnswer: 22.51751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 80 = 2*d - 0*m, -145 = -4*d + m. Let o = -28 + d. Solve -o + 3 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571979095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:38 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21540 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 110 = 13*c. Calculate the greatest common divisor of c and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19733 (base 10) in base 14?\nAnswer: 7297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/1036 (b) 0.06 (c) 2 (d) 1\/8 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 25*z**2 + 27*z + 33. Give g(26).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w - 193 - 697 = 1315 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - t - 4*t - 5, 2*n - t - 3 = 0. Let u be -1*4\/(-2) - 3. Let z be u\/(-3) + 8\/(-24). Solve 0 = 3*k - n*s + 6*s - 12, 4*k + s - 3 = z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -15*u**4\/4 + 16132*u**3 - 39045891*u**2\/2 + 15610614*u - 2942. Factor l(f).\nAnswer: -3*(f - 1613)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*p**2 + 119*p**2 - 215*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -2*m**7\/21 + m**4\/24 - 3*m**3\/2 + 3*m**2 + 17. What is the second derivative of i(o) wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36308 is divided by 1857?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiuplnr. What is prob of picking 1 l and 1 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (15 + 61)) + (-12 - -40 - 40)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3290 = -2*h + 4*l, 3*h + 4*l - 5 = 4970. Let b be (-1)\/((-1)\/3360) - -2. Let i = b - h. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 944079, 944093, 944109, 944127, 944147, 944169?\n\"Answer: z**2 + 11*z + 944067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51092 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**19))\/w)\/(w**22\/w) assuming w is positive.\nAnswer: w**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2 - 54\/(-26)). Let i = 28 + d. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.397 + -0.003. Round u to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 373 - -10. Suppose -384*x = -m*x - 120. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 303975 - 818566. Let r = 787591 + x. What is r rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 3. Let j(y) = 15*y**2 - 20. Calculate 3*j(h) - 20*z(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeueeeueexxexxee. Give prob of sequence euxu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**4 - 3*x**3 + 15*x**2 + 3*x. Let g(i) = -6*i**4 - 7*i**3 + 31*i**2 + 7*i + 1. Let q(m) = 6*g(m) - 13*k(m). Let q(o) = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 16*w + 5. Let c be r(-16). Suppose 3*y + y = 20. Suppose 5*s - 10 = 3*j, y*s + 4 = j + 7*s. Solve -4*u + c*p + 5 = j, p + 2 = 2*u - p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/249100 and -157\/14100.\nAnswer: 747300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 62508497 a multiple of 3696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 1887, 4175, 7377?\nAnswer: 11493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39019*i**4 - 29104 wrt i?\nAnswer: -156076*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) - sqrt(576)\/(sqrt(12)*2).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39353?\nAnswer: 23, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 28*u**2 - 2*u. Let w(a) = -205915*a. Calculate w(v(g)).\nAnswer: -5765620*g**2 + 411830*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 17, 2\/3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190784 and 1804.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7434 - -7707. Solve -260*m = -i*m - 39 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1067*b = -2*t + 1072*b - 19, -20 = -4*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001165 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5080*0.5\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74088*t**2 + 148277*t**2 - 74126*t**2.\nAnswer: 63*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*n + 4 = 0, d - 2*n + n = 3. Suppose 4*o - d*o = -12. Let a = 42 + 6. Calculate the highest common factor of a and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 177. Let o = -295 + 218.1. Let g = p - o. Is -30 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10269 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 144312?\nAnswer: -144303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/17)\/(-1 + 3 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.8. Let m = 1574 + -1572. Which is the closest to 1? (a) 1 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.9979 decades to millennia.\nAnswer: 7.239979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9050046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28212161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*b + 3*f - 34, 51 = 5*b + 2*f. Let x(d) = d**3 - 6*d**2 - 2*d + 26. List the prime factors of x(b).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/17631 and 50\/1953.\nAnswer: 3825927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0*l + 4*l - 3*l. Let m(g) be the third derivative of -7*g**4\/24 + 430*g**2. Determine o(m(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814692 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3476 (b) -7.8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.5403 to 1 decimal place.\nAnswer: 116.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-70)\/2597) - 7. Let s = -209 + j. What is the highest common factor of 31 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5*((-980)\/(-1449))\/14*-9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243850590?\nAnswer: 2, 3, 5, 211, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(sqrt(605) + 1*sqrt(605)) - (sqrt(605) + -2)*2 - ((sqrt(605) - (sqrt(605) + 3 + sqrt(605))*-1) + 0)))**2.\nAnswer: -6050*sqrt(5) + 1830150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3230.9 + -3231.035018. Let x = n + 0.135. Round x to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -2\/95 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 - (-4 - 0 - -3). Let d(w) = 3*w + 2. Let s be d(2). Solve -n*h = -h + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g + 45 = z, -3*z = -5*g - 142. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen tenths of a second?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*9*(-5 - -4). Let a = -7 - u. What is the second derivative of -9*t - 2*t - a + 2 + 11*t**3 wrt t?\nAnswer: 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162009464.\nAnswer: 2, 20251183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 22 - 8 + 33 = 27*j + 89, 4*m + 16 = -4*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21714 (base 14) in base 12?\nAnswer: -3aa32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 15 - 3*h + h - 5*h**2. Is 6 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.24 * -21094.\nAnswer: 680070.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/33, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18331734 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 495613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 5 + 5)*(3 + z - 3) + (z + 1 - 1)*(-5*z + 3*z - z) + 134 + 48*z**2 - 134 in the form i*z + g + t*z**2 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 806571822 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 2:57 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, -1655, 0.5, 25, 1\/142?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3916 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = -630*c - 24882 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21502 = 27*y + 6760. What is the least common multiple of 728 and y?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15071.7 to the nearest ten.\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/33*(1 - -71). Let b be (-60)\/(-21) + z\/(-28) + 1. Let w be (1\/1 + 1)*1. Solve -w*u + b = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-2)\/(2\/(-5)). Let w be 6*(-1 + (-16)\/(-12)). Suppose -f*p - 3*l + 0 - 1 = 0, w*p - 3*l - 13 = 0. Calculate the lowest common multiple of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/((-990)\/600)*(-2 + 4). Solve -7743*m = -7735*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/p**(3\/11)*((p**(-1)*p)\/p*p)**(-35))**(2\/157) assuming p is positive.\nAnswer: p**(26\/5181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95\/2*b**2 + 70\/3*b + 2 + 80\/3*b**3 - 9\/2*b**4 = 0 for b.\nAnswer: -2\/27, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.88 + 52.38. Suppose -5*y - 26 = 4*s, 0*y + 3*s = 2*y + 15. Which is greater: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365470608.\nAnswer: 2, 1723, 49531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express u**4 + u**3 - 14*u**4 + 3*u**2 + 0*u**3 - u**2 - 1 in the form y*u + q + b*u**3 + p*u**2 + o*u**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*g + 4 + 0 = 0, -5*g + 15 = 0. Let m(u) = u**2 + 3*u - 2. Determine m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2385359 (base 11) to base 4.\nAnswer: -33311103111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0 + 1\/15*a**5 + 2*a**2 + 1\/120*a**6 + 0*a - 1\/12*a**4 - 1\/2*a**3. Let o be (-104)\/65*(-10)\/(-4). What is c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2 + (-14 - (-22 - -10)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/5))**(1\/5)\/(p\/(p\/p**(2\/13)*p)*p\/(p**5\/p)))**(-14))**33 assuming p is positive.\nAnswer: p**(-565488\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 5 = 8978*h - 8974*h, -x - 217*h - 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/(2\/3). Let t = 1.957 + 0.043. Let p(u) = -3*u + 1. Let s be p(2). What is the closest to t in z, s, 3\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9476 (base 16) in base 10?\nAnswer: -824438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28837160?\nAnswer: 2, 5, 11, 65539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueqt when four letters picked without replacement from {e: 1, q: 1, t: 1, a: 1, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9457 = -20*b - 1826 + 10049. What is the highest common factor of b and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4024 and 496964?\nAnswer: 993928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634963.5 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3999\/9796)\/(-129)*12\/(9\/3).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 40 = 2*c + 4*n, -4*n + 20 = 0. Suppose c*p - p = 72. Solve 0*q - p = -2*q + 5*h, 0 = q + 2*h + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12))**(2\/11) assuming t is positive.\nAnswer: t**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 9. Let t(y) = y - 1. Let p(n) = -2*t(n) - z(n). Let d be p(-8). Let i(k) = -3*k + d*k - 2*k. Let x(l) = -4*l**2. Calculate i(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 1179 = 4*y + 4*c, -2*c = -4*y + 1178. What is the greatest common factor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/3 + 66909089*z\/9 + 22303030\/9 = 0. Calculate z.\nAnswer: -1\/3, 22303030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 4772*g + 220802. Give d(-45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)\/(x*x**4)*(x**(1\/8)\/x)\/x**(-5) assuming x is positive.\nAnswer: x**(-55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.08273 centuries to decades.\nAnswer: 90.8273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322\/17 + -19. Put t, 4\/7, -2\/3 in descending order.\nAnswer: 4\/7, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 (base 8) in base 7?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odhq when four letters picked without replacement from {h: 6, q: 2, j: 5, o: 1, d: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - y**3 + 7 - 20 + 3*y - 10*y**2 - 4 + 6*y**2. What is l(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1801\nAnswer: 4\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g. Let t be 0\/(1\/(-1))*1. Suppose -2*o = -4*k - 16, t = 4*k - 0*k + 4*o + 16. Calculate n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1859*p + 64120. Calculate o(-34).\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(66)*-2)\/(sqrt(18)\/(sqrt(12)\/sqrt(4)*-1)) + -5.\nAnswer: -5 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:12 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 118.94 (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**4 - 1. Let u(g) = 7*g**4 + 2*g**3 + g**2 + 6. Let s(m) = -u(m) - 6*x(m). Solve s(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 22*j + 504 = 0. What is the nearest to -1\/2 in -4, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 30*t**2 + 132*t - 19. Give r(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1045462851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41916*g**6 - 6655*g**2 + g - 2?\nAnswer: 5029920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from ttttttrt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (531\/66 - 9)*94\/(-6). Let i = t + -170\/11. What is the nearest to i in -0.03, -6\/11, -0.01, -3\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4))**(2\/21)\/(r\/(r\/(r**10\/r))*r*r\/r**(-2\/7)) assuming r is positive.\nAnswer: r**(-159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4709 - 8289. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**4\/12 + 19*y**3\/3 + 69*y**2\/2 + y + 1. What is the first derivative of f(c) wrt c?\nAnswer: -2*c + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + 1 - (177 - (193 - 28)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (1 + 1 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(16)*-2)\/sqrt(8).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*m - 29*m + 6*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*t + 0 + 4 - 2.\nAnswer: -442*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -92*o**2 + 2207*o - 30. Calculate q(23).\nAnswer: 2063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -3 - (-24 + 30).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = 35. Suppose r = 4*x + 92, -3*x + 218 = 4*r - 188. What is the remainder when r is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.2. Let n(h) = -2*h**2 + 4*h + 3. Let o be n(3). Let b be (2\/o)\/(98\/(-42)). What is the nearest to -1\/3 in b, -5, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442839 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(5 - 5 - 4*z - 153*z).\nAnswer: -157*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*s - 33*s + s - 16 + 18 - 3*s - 9*s.\nAnswer: -31*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 2*p + 4*p - 11, 5*t - 2*p + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**3 - 3*j**2 - 12*j + 32. What is the hundreds digit of c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33317, -8, 0, -5, -4 in descending order.\nAnswer: 0, -4, -5, -8, -33317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - v - 1 + 1 + 1. Suppose 4*y + 0*y - 32 = 0. Suppose y*a = 3*a + 5. Let r(n) = 3*n**2 + 4*n - 3. Determine a*r(l) + 5*b(l).\nAnswer: -2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.6339079 to 3 dps.\nAnswer: -1.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -280 and 0.08.\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/9189888 and 43\/889344?\nAnswer: 27569664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-33)\/(-9). Let y(u) = -3 + 0*u**3 - u**2 + 2*u**2 + 4*u**2 - u**3 - 2*u. What are the prime factors of y(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 50621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 2*z**2 + z - 30. Let j be (6 - 6)*(-1)\/(-3). Let s be x(j). Let w = 41 + s. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66175292 at most 66175290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*((l*l**7*l)\/l)\/l)*l))**(10\/9)*(l\/(l*l**7*l)*l*l)**(-1\/37))**(-39) assuming l is positive.\nAnswer: l**(-9854\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 492137900.8 rounded to the nearest 10000?\nAnswer: 492140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 1440?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -443 smaller than -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/(-3) + 8\/6. Let h = x + 19\/4. Let u = 71\/2 - 36. What is the nearest to u in h, 0.3, 3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/7))\/v*v**(7\/5))\/(v*v**(-8))**(-1\/2) assuming v is positive.\nAnswer: v**(-177\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = r + 5, 3*u - 9 = 0. Find v such that -2\/5*v + 1\/5*v**r + 1\/5*v**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.164 + 10.636. Let l = 16.8 - j. Let g = 764\/5505 - 2\/367. Which is the third biggest value? (a) l (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 874, 1735, 2596, 3457, 4318, 5179?\n\"Answer: 861*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -14.4. Let g = -8.5834 + 7.9834016. Let p = x - g. What is p rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/4*(1800\/(-1650)*(-44)\/6)\/(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 22 = 331537*h - 331539*h, 0 = -3*h + 15 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*(sqrt(24)\/(sqrt(108)\/(sqrt(9)*1)) + 2 + sqrt(32) + 4))**2.\nAnswer: 15360*sqrt(2) + 22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f + 32. Let c be v(-5). Let p be (16\/10)\/(c\/5). List the prime factors of p\/(-14) - 886\/(-14).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 189 - 33. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -70026.63 and -0.1?\nAnswer: 7002.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3120, -6397, -9674, -12951, -16228, -19505?\nAnswer: -22782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 996 and 352252.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*l + 9*l - 24970, 0 = -l + 5*c + 8355. Suppose -589*g = -594*g + l. Does 34 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 14. Let t = 18 + m. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, u: 6, d: 1, z: 3, h: 3}. What is prob of sequence zhdu?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/6 of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d + 88 = 22*d + 2*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = -2*u. Sort u, -5, -4 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 3*h**5\/20 - h**4\/12 - 10*h. What is the third derivative of s(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose 0 = -j + 3*i - 11 + 32, -a*j = i - 21. Solve 2*b + j = -5*x, -b + 2 = 5*x + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/5, -39\/23, -4, 139?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 282498829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -6*f - 24. Suppose b + f*j + 16 = 0, 5*j + 21 = -b - 0*j. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/28 + (-427)\/(-28) + -15\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(4 + c**2 - 4) + 4*c**2 + 2*c**2 - 7*c**2)*(-3 - 4 + 5 - c)*(5 + 2 - 3).\nAnswer: 8*c**3 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + 8*f)*(-1 - 3 + 5) + (1 - 4 + 5)*(0*f - f - f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9096, 9089, 9082, 9075, 9068?\nAnswer: 9061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114916.61 take away 57065874?\nAnswer: -56950957.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssssjssjj. Give prob of picking 1 j and 3 s.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13)\/(o\/o**(-1)))\/(o**5*o*o**(-3\/2))*(o*o\/(o**0*o))**(-18)\/(o**(-1\/3)\/o)**(7\/4) assuming o is positive.\nAnswer: o**(-1717\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-66))\/(8\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 6*t + 190 = 0. What is the remainder when 27 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 4*c = 0. Let d(w) = w + 15 + c*w**3 + 10*w**3 - 14 + w**2. Suppose -5*q = 5*s + 30, 2*q - 33 + 10 = 5*s. Give d(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-3)\/((-15)\/14)*195\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 - 6 + (-2 + 2 + 2)*(1 - 1 - 2) - 5 + 1 + 5)*(-23*g + 23*g - 23*g)*(-1 - 2*g + 1) to s*g**2 + u + k*g and give s.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -68 - -58)*(1 - 6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604040 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/16 - (-38)\/8. Suppose -h*z + 229 = -826. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -4\/5 (c) 2\/11 (d) 0.11 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -16. Let -1\/6*a**c + 0*a + 1\/6*a**2 + 0 = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -9*h + 4*s + 5, s = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 w when four letters picked without replacement from mmmwmmmwhmwmmmmm?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4.2, 0.13399, 0.11 in descending order.\nAnswer: 0.13399, 0.11, 0, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 12. Let w be z(-7). Suppose -20 + 5 = -w*m. Solve h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 225 - 1860 = 0. Let h = u - -228. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - v - 37 = 18, 0 = y + 2*v - 25. Let r = y + -9. Suppose 14 = 2*c + r*k - 2*k, k + 13 = c. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 78 and 0.02.\nAnswer: 78.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 - 72. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170 and 13770?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(57) + sqrt(57) + sqrt(513))*-2)\/(-2*sqrt(9)\/sqrt(3)) + -5.\nAnswer: -15*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4342 + 4342. Find r, given that 2\/9*r**4 + 0*r**3 - 10\/9*r**2 + 8\/9 + z*r = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 148160246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14535 divided by 4845\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:13 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, q: 3, z: 4, j: 3, w: 2}. What is prob of picking 1 j and 3 q?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -2 (c) -102\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 9*j - 7. Let q be f(8). Let w = -12 + 62\/5. Which is the nearest to q? (a) w (b) 0.3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*i - 352 + 165 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*u**2 + 592*u**3 - 652*u**3 - 2791*u**3 + 93*u**2 wrt u.\nAnswer: -17106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 312 = -4*t + 2*m, m = -4. Let w = t - 68. Factor w*h**2 + 4*h + 2\/3 + 8\/3*h**3.\nAnswer: 2*(h + 1)**2*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 = 231*c + 2443 + 1168 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11865736, -23731482, -35597230, -47462980, -59328732?\nAnswer: -71194486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 15 = 0. What is the units digit of (-21)\/(-4) + c\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/175*-5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83437?\nAnswer: 83437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.450506 rounded to three dps?\nAnswer: -13.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 749619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (436\/(-42) - (-82)\/(-287))*(-57)\/76\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 4. Let f(p) = -10*p - 45. Let j(h) = -4*f(h) - 45*x(h). Let w(t) = -4*t**2. Give w(j(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 6140262*a - 67542640 = 0 for a.\nAnswer: 11, 3070120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*r - 210 + 210 + 6*r - 2*r - 2*r + (-4 + 0 + 2)*(r + 0*r - 3*r) + (-1 + 5 - 3)*(-1 - 2 - 8)*(5 - 5 - 7*r) as q*r + t and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 952\/(-2550) - (-92)\/2300?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31111932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**3*k)**(-41)\/(k**(-9)*k**14*k))**(-49) assuming k is positive.\nAnswer: k**12348","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by -5?\nAnswer: 153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 529 = 19771*h - 19806*h, 5*m - 40 = 2*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -7. What is the greatest common factor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 + 8*v\/13 + 8\/13.\nAnswer: 2*(v + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22088 divided by 11.\nAnswer: 2008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*b + 35 + 67. Let k(z) be the first derivative of 24 - 7*z - 3\/2*z**b. Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w\/(w\/(w\/(w\/(((w*(w\/(w*w**(-15))*w)\/w)\/w)\/w))*w*w)*w))\/w)\/w))\/w**(-2\/5) assuming w is positive.\nAnswer: w**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -21*j**3 + 14*j**2 - 14. Let x(q) = q**3 - q**2 + 1. Let m be -4*(-1)\/10 - 27645\/(-75). Let z = 370 - m. Give z*f(h) + 14*x(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1 - (-6 + 3)) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372061?\nAnswer: 107, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 262 - 206. Let a be (-21)\/(-12) + 14\/y. Determine u, given that 0*u + 0*u**a + 1\/2*u**3 + 3\/4*u**4 + 0 + 1\/4*u**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7569172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -3. What is the least common multiple of g and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 9*t - 10*t - 19*t + 18*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 8*t**2 + 9*t - 5. What is the lowest common multiple of 3 and q(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107880010 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + (120\/4)\/(-3) + 6. Let m be (y + 13)\/((-4)\/(-6)). Solve 11*a - 4*a = -m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4446, -4578, -4782, -5058, -5406, -5826, -6318?\n\"Answer: -36*c**2 - 24*c - 4386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28573)\/(-14) - 10\/4. Suppose -3*m - 4066 = -m. Let c = i + m. Calculate the common denominator of c and 4\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4 + 6 - 14 + c. Let x be u(4). Suppose 2*d + 0*g - 3*g + 13 = x, -5*g = 5*d - 5. What is the closest to 1 in d, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6216 and 42924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-35) + 15 + (-900)\/63.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/884 and -107\/123631684?\nAnswer: 1607211892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 11. Let o(x) = 7. Let k(m) = m - 1. Let l(h) = -3*k(h) - o(h). Let b(d) = d + 1. What is s*l(p) - 7*b(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4)*k**1\/k*k)\/(k\/((k\/(k*k\/(k\/k**(1\/2))*k))\/k)*(k*k**(-2\/29))\/k) assuming k is positive.\nAnswer: k**(-137\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24005 - -23988. What is the nearest to j in 4, -9\/7, 5?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8119*o - 645*o - 5601*o - 670*o + 1974*o.\nAnswer: -13061*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + (0 + 8 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191029100 a multiple of 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 - -14 - (-68 - -95).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3433 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27316380 divided by -910\nAnswer: 30018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*p - 3. Let w = 78 - 71. Let z(i) = -i**3 + 8*i**2 - 9*i + 19. Let x be z(w). Solve -2*y - x = p*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828130789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 10*m - 4. Give i(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 698558, 1397076, 2095522, 2793860, 3492054, 4190068, 4887866, 5585412?\nAnswer: 6282670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66254 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 788.39211 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*(-4368)\/(-5040)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -140, -2, -5, 3706 in increasing order.\nAnswer: -140, -5, -4, -2, 3706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - j**3 - 5*j**2 - 4*j - 4*j**2 + 4 + 8*j**2 as w*j**3 + x*j + u + n*j**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17010 and 1806.\nAnswer: 731430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4604010 less than 0.006?\nAnswer: 4604010.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2100 (base 5) to base 16\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7 times 7.712?\nAnswer: -28.5344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -841*c**2 + 1461*c. Let o(w) = -22*w. What is o(i(n))?\nAnswer: 18502*n**2 - 32142*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11 + 15)*(-2)\/(-8). Put -8, h, 0, 3 in increasing order.\nAnswer: -8, 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248128 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 86 = -a + 58 - 109, g = -4*a + 5 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*o)**(-14)*o**6\/(o\/(o*o*o**(1\/5)))*(o**(1\/4)\/(o**(-2\/13)\/o))**10 assuming o is positive.\nAnswer: o**(6463\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 20 = 4*x, -112*y + 107*y - 15 = 3*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6084 - 0.1084. Sort 135, b, 2\/7 in ascending order.\nAnswer: 2\/7, b, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.5 (c) -0.2 (d) 1\/7 (e) 0.0179 (f) -23 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6435 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 9 + 31 - -55?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1655*(4 - 5) + (-8)\/(-2). What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 12*l - 90 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765340 a multiple of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -47477*i**2 - 7. Let w(y) = 68*y + 2. Give w(v(o)).\nAnswer: -3228436*o**2 - 474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 1 + 90*g - 37*g - 2*g**2 + 13*g + 358*g to the form k*g + l*g**3 + p + d*g**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(20) + sqrt(112)\/sqrt(4) + -2)*-4 + (sqrt(28)\/sqrt(4)*-6*2 + 5)*-4)**2.\nAnswer: -864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 6. Let l = 19 - s. What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, 10, 8, -155 in descending order.\nAnswer: 10, 8, 4, 0, -4, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.532115 to 2 dps.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -723 + 570.5. Let b = 31.3 - w. What is b rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2751, -2715, -2693, -2691, -2715, -2771?\nAnswer: -2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 47\/77 + (-26)\/((-3094)\/(-51)). Let v be 4*(3\/2)\/3. Factor -y*z + 4\/11 - 2\/11*z**v.\nAnswer: -2*(z - 1)*(z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 - -235. Let s be (-8)\/(-14)*(0 - h\/(-12)). What is the second smallest value in 3, s, -2.7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Differentiate -9 + 21*n**g - 13*n**4 - 10*n**4 wrt n.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62887, -130073, -197265, -264469, -331691, -398937, -466213, -533525?\nAnswer: -600879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 2975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = -7*h. Solve h*d + 4 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -246*n - 4*n**3 + 3*n**2 + 251*n - 3 + 3*n**3. Let r be d(3). Is 3\/((-7)\/((-1540)\/r)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136934185?\nAnswer: 5, 27386837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12242*l + 18154876. What is g(1483)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1133, 1161, 1203, 1265, 1353, 1473, 1631, 1833?\n\"Answer: m**3 + m**2 + 18*m + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 805.3 - 805.34. Sort h, -3, 5, 0.1.\nAnswer: -3, h, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 0, -5*m - 3*s = -2*s - 3102. Suppose 0 = -2*q - 55 + m. What is the remainder when q is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let w be ((-2)\/(-6))\/((-6)\/(-18)). Suppose 4 = 5*n - w. Let v(o) = -1 - 2*o**2 + n. Determine v(x(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.66 and 0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.061687.\nAnswer: -0.061687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/244?\nAnswer: 3\/244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 4, -5 in decreasing order.\nAnswer: 4, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120 - 55. What is the greatest common factor of 39 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - 2. Suppose -3*h = 25 - 16, 3*q = -7*h - 33. Give g(q).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85.79 - -85. Let x = 0.9 + g. Let b = 0.31 - x. Is b at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. What is the third derivative of 0*d**t + 7*d**2 - 2*d**6 - 8*d**2 + 0*d**5 wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from {m: 3, i: 1, x: 1, d: 2, f: 3, e: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5005, 5003, 5007, 5017?\n\"Answer: 3*b**2 - 11*b + 5013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70020575 or -350102868\/5?\nAnswer: -70020575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 6:11 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a kilogram in grams?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 374712.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + 2*x**2 - 2*x**2 + (-3 + 3 - 2*x)*(-x**2 - x**2 + 0*x**2) + x - x + x**3 + (197*x**2 - 777*x + 777*x)*(19*x - 3*x - 5*x).\nAnswer: 2174*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 101033 + 1?\nAnswer: 101034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {d: 1, p: 1, c: 1, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8 - 2) - 10 - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63667 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from ozozzzzz?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143751, 143818, 143911, 144036, 144199, 144406?\nAnswer: 144663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21338 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(5*(-9)\/7140) is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-102) - 7\/119?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211917 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.3 - 3.15. Let a = y + -2.22. What is a rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12492527101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 2640. Let l(w) = 9*w. Calculate d(l(s)).\nAnswer: -27*s - 2640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 60390318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a. Let v(k) = 10972404*k. Determine v(h(i)).\nAnswer: 21944808*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(7812\/7)*-20\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:59 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 78*x - 1. What is the hundreds digit of g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 5*a + v + 40, -5*v + 15 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/160135 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**3 + 2*k**3 + 2*k**3 + 0*k**3 + 0*k**3 + 2*k**3 + 2*k**3 + k**3 - 2*k**3 - 3*k**3 + 0*k**3 + 5*k**3 + (-k + k + 2*k**2)*(2*k + 0*k + 0*k).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z**2 + 796*z + 2382. Determine c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((39\/(-13))\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - c. Suppose 4*f = 4*l - 9*l + 26, -5*f + 4*l + 12 = c. Sort -4, -3, f in descending order.\nAnswer: f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nnwmuwsnsuggmumsw.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.56 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*r = -722*r - 169 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**6 + 2*p**4 + 13061700*p**3 + 39655718*p**2 - 2.\nAnswer: 240*p**3 + 48*p + 78370200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 127. Let v be ((-15)\/n)\/(18\/21). Which is the fourth smallest value? (a) -0.4 (b) v (c) -1 (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005284005 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 22875*n - 22907*n. Calculate the smallest common multiple of n and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a microsecond in nanoseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfbbiii. What is prob of sequence db?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = -19*c - 118. Suppose 0 = 5*n - n + 16. Sort c, 8, n in increasing order.\nAnswer: n, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -21*f + 8. Let t(l) = -18*l + 7. Let b(p) = 2*r(p) - 3*t(p). Let s be b(0). Put 3, s, -18 in decreasing order.\nAnswer: 3, s, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21231 + -3?\nAnswer: -21234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r - 3*r. Suppose -3 = -r*p + 3. What is the closest to p in 1, 0.5, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21916 divided by 5479?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2284 - -2300.07. Let u = j + -16. Let z = u - -2.93. What is the third biggest value in -4, z, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbd when three letters picked without replacement from {z: 7, t: 1, b: 4, d: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, -1\/3, -0.2, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8536*q**4 + 11*q - 95 wrt q?\nAnswer: 102432*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 i when three letters picked without replacement from {i: 3, g: 1, x: 3, j: 1, m: 2, u: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/33885 (b) -5 (c) -0.3 (d) 0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 1, x: 2, a: 1, n: 1, u: 2}. What is prob of picking 1 x, 1 a, and 1 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3d81 (base 16) to base 7.\nAnswer: 63622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 758, 1692, 3000, 4682, 6738?\nAnswer: 9168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.8. Let i = -9765 - -9764. Let x = 0.05 + -3.05. Which is the closest to l? (a) 10 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18977*d + 2163357. What is w(114)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -32*s - 136. Give q(-7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 180*l + 10. Let t be i(6). Round t to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-66) + 24\/11. What is the units digit of -2*12*a\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29232, 116659, 262288, 466119, 728152, 1048387?\nAnswer: 1426824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -1.3. Suppose -v = -2*l - 7, 0*l - 4*v + 4 = 4*l. Let n = -310.8 + 311. What is the closest to t in 1, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 48*u + 437. What is the tens digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a - -1?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8. Let s(f) = -f + 25. Determine -7*q(d) - 2*s(d).\nAnswer: 2*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25950657 and 1.\nAnswer: -0.25950657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189 - -189.109. Let v = u + -2.109. Let s = -265 + 5033\/19. Which is the closest to v? (a) 1\/2 (b) 1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7526.423 + -7523. Let s = k - 0.023. Let h = 3.39914 - s. What is h rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.064, 0.2, 105, 0 in increasing order.\nAnswer: 0, 0.064, 0.2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6\/25 (c) -1932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186618 by 62206.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*d**5*f - 8*d**4*f**3*u + d*f**3*u + 3*d*u + 7*f**3*u + 2*f**3 wrt d?\nAnswer: 2680*d**3*f - 96*d**2*f**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/5)*s)**(-27\/7)*(s**(-8))**(-2\/35) assuming s is positive.\nAnswer: s**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 6*s**2 + 0*s**3 + 0*s + 2\/5*s**5 - 1\/60*s**6 + 0 - 3*s**4. Suppose c(i) = 0. What is i?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 90*j**2 - 49*j**2 + 2 - 44*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 1, -11, 4, -1 in decreasing order.\nAnswer: 33, 4, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-45) + 3246\/(-45). Is ((-26)\/(-26))\/((-1)\/i) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5738092.5 to the nearest 100000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrq when three letters picked without replacement from rwqzrwzqww?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-32)\/2016*-3582 - (1 - 12\/14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705 - 576 = 61*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (350\/56)\/((3\/(-30))\/((-2)\/5))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -102. Let r = -25 - y. What is the remainder when r is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z**2 + 5*z - 3. Let t be u(-4). Let w = -1 + t. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 1 + 3. Let a = g + 3. Let p(q) = -4*q - 1 - 2*q**2 + 2*q + 5*q. Calculate p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019081 rounded to six decimal places?\nAnswer: 0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8366369 and 110?\nAnswer: 83663690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 + 1.8. Let x = -187\/6 + 31. What is the second smallest value in v, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-1)\/21)\/(4265\/(-5971))*10\/84.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347028 is divided by 956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29015 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11779 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1179515 to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y + 75. Let s(p) = -42*p + 121*p - 37*p - 43*p. What is s(g(f))?\nAnswer: 10*f - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*x - 22, -2*x = q - 0*x - 13. Solve 4*z = -d - 3 - 17, -q*d = 3*z + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6581\/15 + -2197\/5. Let c be (-2)\/(-5) - 44\/(-40). What is the nearest to -4 in 5, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22, -45, -102, -211, -390, -657, -1030?\n\"Answer: -3*z**3 + z**2 - 5*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 893 divide 1783321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = t - 21, 0*t + 2*z - 8 = -3*t. Let g(m) = 4*m + 9. Let f(k) = -7*k - 18. Let q(i) = -6*f(i) - 11*g(i). Let p be q(t). Which is smaller: -4 or p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -3, -14, 4 in descending order.\nAnswer: 8, 4, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*k + 9*k - 2*b, 2*k - 5*b - 1 = 0. Let l(s) = -16604 + k*s + 16604. Let f(d) = d**2 + 29*d. Give l(f(n)).\nAnswer: 3*n**2 + 87*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 119*i**2 - 69*i + 4335. Give s(40).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 9*d**2 - 6*d + 12. Let r be b(8). Suppose -4*v + 0*x + r = 3*x, v + 2*x - 12 = 0. Solve -m = v - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*z - 79 + 79)*(-2*z - 4*z + 7*z)*(3*z + z - 3*z) to w*z**2 + i*z**3 + b*z + d and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-17)*(z\/(z*z**(-10\/9)))\/z assuming z is positive.\nAnswer: z**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qadq when four letters picked without replacement from dqqqdaaqqabqqaqaatww.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:05 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let s(m) = -2447*m**2 + 788*m**2 - 121*m**2. What is s(n(a))?\nAnswer: -7120*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 11, -2\/17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6200164 to the power of 1\/2, to the nearest integer?\nAnswer: 2490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 256 = -9*d. Suppose d = 24*g - 162. Let z = 1 - -1. Calculate the greatest common divisor of g and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/84 and -8\/35.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8448.7 from 0.04423945.\nAnswer: -8448.65576055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98588*l + 98583*l + 9*l**2 + l**2.\nAnswer: 10*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6*z. Let r = 12 + -10. Let j(o) = 13*o + 14*o - 27*o + 4*o**r. What is q(j(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 262*u*w + 23*u + 3 wrt w?\nAnswer: 262*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.750305 rounded to 2 decimal places?\nAnswer: 303.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w + 1211 - 14*w - 1211.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -232 < -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17845 - 9524. What is the greatest common divisor of 53 and l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.17 + 0.77. Which is the smallest value? (a) 1 (b) -0.03 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21*g**2. Let u(h) = -11*h**2. Let j(k) = 6*r(k) - 10*u(k). Let b(v) be the second derivative of -v**4\/12 + 2*v. What is j(b(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2736968 to the nearest 10000.\nAnswer: 2740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/((-4)\/(-24)*(-2 + 5)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppp when four letters picked without replacement from {w: 3, y: 4, l: 6, g: 2, p: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 276*u - 325*u - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 5*b**2 + 2*b - 7. Let k be (28*1)\/(1 - (5 - 6)). Suppose -9*d + k*d = 25. Determine j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*r - 25 = 0, -6*f = -1128*r + 1125*r - 33 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24 - 25\/90?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + x**4 - x**4)*(3*x + 4*x + x).\nAnswer: 16*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 20*w - 287. Let q(d) = -12*d**2 + 59*d + 788. What is -11*a(o) - 4*q(o)?\nAnswer: 4*o**2 - 16*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/10)\/(78\/(-585)). Let b be 1*(3\/h + 38\/8). Let v be (-4)\/10 + 174\/35. Which is smaller: v or b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-5980)*161\/(-14).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-34))\/q*(q**(1\/3)\/q)\/q*q)\/(q**(1\/28)*q**41) assuming q is positive.\nAnswer: q**(-6359\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40415\/21 + -342572\/105. Let t = 1341 + s. Find the common denominator of 139\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -65867605312.\nAnswer: -65867605316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 72464804.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-6) + 0\/(-1) + -4. Let q(j) be the first derivative of -v*j**3 - 4 + 3\/2*j**2 + 0*j. Find the second derivative of q(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13253285 divided by -2650657.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2784 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - d = 0, -5*b + d = -0*d - 1. What is the second derivative of b - 1 + 4*k - 8*k**2 - 9*k wrt k?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*a + 550*a + 9 = f, -a - 4 = 2*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - 1) + (24 - ((0 - -17) + -11) - 15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 899 times -4\nAnswer: -3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/((-12)\/(-10) + -1). Let z = -11 - -15. Suppose t - l - 11 = 4*t, 4*l + 4 = -4*t. Sort r, t, z.\nAnswer: r, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:39 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22192 and 266304.\nAnswer: 266304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -41 - 10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -138.956512 + 233.9565016. Let q = r + -95. What is q rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-2\/17)*x\/((x**(-1\/3)*x)\/x)*x\/x**(-2))\/((x**3\/x**1)\/(x\/x**(-2\/3))**(-2\/7)) assuming x is positive.\nAnswer: x**(235\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 59\/5, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/24 + 2*x**3\/3 - 2*x**2. Let y(a) = -a - 1. Let z be y(5). Let r = z - -3. Give g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p + 98. Determine x(-8).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*((164 - 31 + 8)*(1 - 1 - 2*z) + z + 15*z - 6*z).\nAnswer: -544*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 = -5*c, -2*v - 3*v + 10 = 0. Let x(g) be the second derivative of g**3\/6 + 4*g. Let i be x(c). Solve -i*k + 4 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7 (b) -0.07 (c) 1\/3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/5))\/y**(2\/9)*(y*y**6*y)\/y**(-1\/3))**(-5) assuming y is positive.\nAnswer: y**(-401\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/15 (b) 0.3 (c) -2\/15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**5\/h))\/h**(-4))\/h**(-10)*h**22\/(h*h**4*h*h\/(((h*h\/h**(-5))\/h)\/h)) assuming h is positive.\nAnswer: h**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 3\/110777 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724022585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 5*f = -5, 0 = -3*d - 6*f - 72 + 60 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15676943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 47470836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 56*t**4 - 436*t**3 + 652*t**2 - 320*t + 48 = 0.\nAnswer: 2\/7, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 0*g**5 - g - 2*g**3 - g**5 + (-6*g**5 + 3*g**5 + 2*g**5)*(-8 + 12 + 52).\nAnswer: -57*g**5 - 2*g**3 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15*s**2 + 6. Let p(o) = -16*o**2 - 7. Let u(q) = -7*g(q) - 6*p(q). Let f(h) = 2*h**2. Determine u(f(i)).\nAnswer: -36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -338482 greater than or equal to -338454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 44*v**2\/3 + 134*v\/3 + 60.\nAnswer: 2*(v - 18)*(v - 5)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45.78 + -95.78. Which is the nearest to -1? (a) -2\/7 (b) j (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 + 72 + 2*q - 236 + 75 + 60.\nAnswer: 2*q + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5930769.\nAnswer: 3, 13, 241, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 143?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvjjvj. What is prob of picking 2 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 7. Suppose 3*b - 17 = 3*v + 1, -2*v - 15 = -3*b. Let x be 0 - (2 - b)*3. Let n be -9 - (x - 2)*-3. Calculate z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -39. Let f = -1126 + 1104. Let y = f + k. Which is the third biggest value? (a) y (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2259*d**2 + 13557*d - 17. Determine n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161304 divided by 1833.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8689 - -12419.8. What is z rounded to the nearest 10?\nAnswer: 3730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48366?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 111\/2. Is r > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9115 - 333?\nAnswer: -9448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-10))\/12*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 7. Let y(j) = -j**3 - 22*j**2 + 6*j - 21. Let f be y(-22). Let x = 143 + f. Determine d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, 572, 1635, 3120?\n\"Answer: 211*r**2 + 8*r - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-27))\/(2057\/726)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -44859074\nAnswer: 89718148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*n + 15, -6*b = -4*b - 3*n - 7. Let j be 9\/3 + (2 + -2)\/2. Solve b*v + 5 = -0*v - c, j*v - 3*c = -21 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:48 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -31, 4.9, 13\/7 in increasing order.\nAnswer: -31, 1, 13\/7, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359.8 + -359.7. What is the closest to -1.7 in m, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hguxwwwwwuggww. What is prob of sequence xgw?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-12)*3)\/(1368\/266).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38.3 - -38.4. Let j = 209 + -211. What is the nearest to -1 in -4\/5, 1, j, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607261661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*t**4 - 16*t**3 + t**2 - 141*t - 8 wrt t?\nAnswer: 708*t**2 - 96*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5993 * -213.4\nAnswer: -1278906.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 78.0000066. Round n to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -833746\/31 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7*i = 0. Suppose -4*c - 641 = -3*h, 3*h - 2*c = -i*c + 637. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17740.\nAnswer: 2, 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 128036 (base 9) in base 13?\nAnswer: 2969a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4685157, -4684972, -4684787, -4684602?\n\"Answer: 185*g - 4685342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*k = -14 + 2, 95*t = 124*t + 3*k - 101 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -943309 less than -1593314?\nAnswer: -650005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -133, -242, -351?\n\"Answer: -109*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -118, -213, -328, -457, -594, -733?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 13*h**2 - 25*h - 23. Let j(r) = 3*r**3 - 19*r**2 - 38*r - 34. Let b(w) = 5*j(w) - 8*m(w). What is the tens digit of b(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 13\/2*c**2 - 1\/12*c**4 + 2*c**3 + 20\/3*c - 29. Let q(w) = 0. What is w?\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2*p)\/p*p**5)\/(p**(-3)*p**4*p))\/(p**(-15)\/(p**5\/p))**(1\/33) assuming p is positive.\nAnswer: p**(184\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 9*r - 15*r + 5*r)*((-1 + 0 + 3)*(6 - 2 + 2) + 0 - 2 - 3 + (1 + 2 - 1)*(2 + 1 - 4)) to c + n*r and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-472)\/531 - (-276)\/189. Let b = -73\/2 + 36. What is the closest to 0.04 in b, -2\/7, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 12168056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 922526 divided by 104.\nAnswer: 461263\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z + 5. Suppose 2*h - 3*w + 18 = 0, h + 3*w - 5 = 4. Let p be (3 - h)*(-30)\/(-36). Let i(y) = y**2 + 5*y + 10. Determine p*g(k) - 2*i(k).\nAnswer: -2*k**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 8 = 5*q, -q - f - 3 = 3*f. Suppose -q + 3 = 2*l. Let j(i) = 4*i**2 - i**3 - 2*i - 1 + 2 - l - 2. What is j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19131 = 380*p + 54*p + 903 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 6*f = -18 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 - (-25)\/(-3). Let f be ((-8)\/6)\/(x\/12). Determine s so that 1 - 4*s + f*s**2 - 1 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.6 times -145?\nAnswer: 11397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-6 - (1 + 0)). Let i be (1 + 0)\/((-11)\/(-2)). Which is the third biggest value? (a) i (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((52\/65)\/((-4)\/(-10)))\/1. Suppose -2*g - 2 - 10 = -t*f, 2*g + 5*f = 16. Let v be 1\/(-5)*g*(-3)\/6. What is the nearest to 0.1 in 7, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2)*(c + c - 4*c) + (-20*c + 10*c + 15*c)*(1 - 1 + c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 283605331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a - 15. Let i be y(6). What is the remainder when 132 is divided by 19\/57 - (-78)\/i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -5, 5468, 2, 3 in descending order.\nAnswer: 5468, 3, 2, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2783 + 7*t**2 + 2783. Let r(u) = 2*u - 4. Let p be r(3). Let d(q) = -2*q**2 + 0*q**2 + 0*q**p. Give g(d(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562, -1111, -1660?\nAnswer: -2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 + 2. Let a(g) = 2*g**3 + 5*g**2 - 2*g + 1. Let p(r) = -a(r) - 3*h(r). Give p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 14 + 109. Calculate the remainder when (312\/40 - 0)\/((63\/70)\/9) is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -812554\/9 bigger than -90285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24426.58003 + -24413.58. Let j = -13 + t. What is j rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**4\/2 + h**3 + 3*h**2\/2 + 1. Let d(q) be the first derivative of -1\/2*q**2 + 0*q - 1\/3*q**3 + 3. Calculate 3*d(o) + i(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12997 is divided by 418?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:17 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 1:59 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 20*d**2 + 91*d - 27. Give h(-24).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3107.73913 to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111845 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 2. Let m(x) = -x. Let f(s) = -4*m(s) - 2*v(s). Give f(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(3\/(-27)*((-1)\/(-1))\/1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -47 * 116.21\nAnswer: -5461.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 47, 4, -3 in descending order.\nAnswer: 47, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3688 = -2*k, r + 3890 + 1642 = 3*k. Let d = -967 + k. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13031*n**3 - 19815*n**3 + 13060*n**3 - 14364*n**3.\nAnswer: -34150*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*z - z - 1 + 1 + (-4 + 0 + 2)*(-2*z + 2*z - 2*z))*(z + 5*z - 14*z).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43651*j*k*q**2 - j*k + j*q + 2*k*q**2 - 387214 wrt q.\nAnswer: 87302*j*k*q + j + 4*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**5 + 15*h**3*o - 12*h*o + h - 30*o wrt h.\nAnswer: 120*h**3 + 90*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 31 = 2*p, 6*p + v = p - 58. Let k(b) be the third derivative of -b**6\/120 - 11*b**5\/60 - 82*b**2. Let g be k(p). Solve -r - 2*r = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12673 bigger than 12959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52879 times -0.11769\nAnswer: -6223.32951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 25 = 4*g + 14*c, 0 = 4*g - 2*c - 22. Let o = 156 + -91. Suppose g*y = -y + o. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from hwknnhnhhwonhhoonh.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -123\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -8. Let q be (8 + -2)*(-2)\/(-4)*1. Let s be -15*f\/18 - q. What is the closest to -2 in -2\/7, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 0.0612, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.212 - -50136.\nAnswer: 50136.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -46. Suppose b = -3, -5*b - 6 - 45 = -g*l. Let n(m) = 0*m**2 + 11 + m**2 + 0*m**2 - 2 + l*m. Give n(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 + 10. What is the highest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:42 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -444893\/24 + 18533. What is the common denominator of u and 15\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 3. Let n be 1*y + (-20)\/4. Let t(r) = r**3 + 5*r**2 - 6*r + 7. Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6695339.00000032 + 6695340. Let y = m + -1. Round y to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2222121 (base 3) to base 5\nAnswer: -32201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*m + 0)*(2 + 1 - 7)*(1 - 6*m + 8*m - 3).\nAnswer: 24*m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/7 + 6*v**4\/7 - 92*v**3\/7 + 156*v**2\/7 + 90*v\/7 - 162\/7 = 0 for v.\nAnswer: -9, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 - 109. Let p(r) = 0*r - 2*r + 27 + 6 - f*r. What is the remainder when p(-14) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 1, f: 2, c: 4}. What is prob of sequence fmm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**3\/3 - 13*v**2\/2 + 6*v. Suppose 0 = -5*b + 25, d + 18 = 5*b + 2. Let q be z(d). Solve q*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.084602609 rounded to four dps?\nAnswer: -0.0846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -17*u - 7. Let a be k(-9). Suppose a = 5*b - c - c, -70 = -2*b - 5*c. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*k - 11*k - 113*k + 12691 = 0 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*u**3 + 5*u**2 + 3321*u - 849847663.\nAnswer: 324*u**2 + 10*u + 3321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/388695 and 89\/7514770?\nAnswer: 22544310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = 4*v - 4, 2*z = 5*v - 25. Find the common denominator of 5\/(-6)*214\/(-10) and (-115)\/(-16) + v*(-3 + 2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827*v + 836*v - 513 = 0. Solve 0 = -v*l + 41 + 130 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15\/56 (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5406, -5414, -5422, -5430, -5438, -5446?\n\"Answer: -8*i - 5398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -504 + 890. List the prime factors of f.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2803*n + 87. Is 5 a factor of c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 14 - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80477 - 80484. Let f(y) be the third derivative of 0*y - y**3 - y**2 + 0 + 1\/24*y**4. What is f(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3694 + 75049*z**3 + 8527 - 75050*z**3 + (z**2 - 3 + 3)*(z + 4*z - 4*z) + 2*z**3 - 2*z**2 + 2*z**2 in the form d*z**2 + b*z**3 + m + o*z and give m.\nAnswer: 12221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (899\/(-87))\/(-31)*-48?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -25*k**3 - 9*k**2 - 4*k + 6. Suppose 5*p - 4 = 16. Let x be a(p). Is x*((-4)\/(-3) - (-33)\/(-18)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 10*r + 8 + 16 in the form i*r + z and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-7)*(-30352)\/3252?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 6. Let p(k) = 4*k + 56. Let g be p(-13). Suppose 0 = 5*u + g*v - 46, 0 = -12*u + 13*u - 5*v + 14. Give r(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*s**2 - 101*s - 212*s + 313*s.\nAnswer: -1431*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56715712*q - 25242242 wrt q.\nAnswer: -56715712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 - 3*x + 3*x - 39*x**2 as b*x**2 + y*x + r and give b.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 92?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27886 and 803.\nAnswer: 306746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2638 - 5321 = -865*x + 16347 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 14 in descending order.\nAnswer: 14, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1904*k + k**2 + 700*k - 7608*k - k**3 - 2*k**4 + 295*k as h*k + r*k**4 + d*k**2 + m*k**3 + a and give h.\nAnswer: -8517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 29136 - 29167 = -5*i, 0 = -5*b - 3*i - 29 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/55, 0.1, 127, 9.82?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 - 14.32. Let t = h + 9. Let a = 6.6 - 7. Sort t, a, 0.1 in ascending order.\nAnswer: t, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(960\/(-4704))\/((920\/112)\/(-23))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.726 - 0.67. Let h = a + 3.944. Let j = -2.9 + 3. What is the smallest value in j, 3, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10918, -43342, -97384, -173044, -270322, -389218, -529732?\n\"Answer: -10809*u**2 + 3*u - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 40 = -142. What is the remainder when 207 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*x**2 - 248*x**2 + 89*x**2 + 71*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 12*z**2 + 15*z + 29. Let h be n(-13). Find the third derivative of -39*b**4 + 53*b - 2*b**2 - h*b**6 + b**6 - 78*b wrt b.\nAnswer: -240*b**3 - 936*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 189\/11, 0.3, 2\/5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 8:28 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5079904?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 956*w**5 + 546*w.\nAnswer: 19120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -41*i**3 + 6*i**2 - 8*i - 20. List the prime factors of g(-8).\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 20*j + 28 = 0. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3 - 238*r**2 + 203 wrt r?\nAnswer: 3*r**2 - 476*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100100110000011 (base 2) to base 9.\nAnswer: -1126810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/(g*g*g**(-10\/3)))*g*(g**(-8)\/g)\/g assuming g is positive.\nAnswer: g**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 812*p + 820*p + p**2 - 5 + 817*p - 2439*p. Determine j(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 132727466.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649498.\nAnswer: 2, 37, 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-664)\/10*(-80)\/(-72). Let f = z - -7484\/99. Let y = 133\/55 - f. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50978\/839055 + 2\/6405. Calculate the common denominator of -22\/9 and z.\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(495)*1 + sqrt(495)))\/((sqrt(176) + sqrt(176) + -5*sqrt(176))*1)*3.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-1 - (4 - 6)). Suppose 39 = 2*x - 3*d, 0*x = 3*x + l*d - 21. Suppose 9*p = x*p - 36. What is the lowest common multiple of p and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(((-24)\/11133)\/(-4)). Let o = -6100 + -533. Let m = o - w. Round m to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1. Let a(q) = -2*q**2 + 2*q - 1. Let c(m) = a(m) - w(m). Let j(d) = -4*d**2 + 5*d - 5. Determine -5*c(f) + 2*j(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41, 131, 279, 485, 749, 1071?\n\"Answer: 29*s**2 + 3*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42520 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 4 - 2 + 7*t)*(2*t**3 + 3*t**3 - 3*t**3) to o + z*t**2 + i*t**3 + y*t**4 + h*t and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggz. What is prob of picking 1 z and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.471 years to decades.\nAnswer: 34.7471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3131\/(-31))\/606)\/((-4)\/(-54)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 618105 or 618104?\nAnswer: 618104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*k - 29 + 29)*(341 + 176 - 50)*(1 + 2 - 4) as j*k + n and give j.\nAnswer: 3736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (12 - 30)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -140, -469, -1106, -2153, -3712?\nAnswer: -5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -15?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k = 2*k + 3*k - 54 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p + 75. Let h(y) = -5*y + 69. Let s(k) = -11*g(k) + 12*h(k). Let d(l) = -13*l - 5. Calculate -4*d(i) - 9*s(i).\nAnswer: -2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1783?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044186371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168076087?\nAnswer: 113, 1487399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1307)\/(-3) - (-4)\/(-6). Is 3\/(-12) - v\/(-12) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 2*j. Let k be 20*((-58)\/8 - -7). Let u(d) = 15*d**3 - 16*d**2 - 18*d. Let v(h) = k*g(h) + u(h). Let v(c) = 0. What is c?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31992527311\/2289 + 13976639. Let f = 2\/327 - o. Sort 4, f, -1.5 in increasing order.\nAnswer: -1.5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*l**4 - 81*h + 10*l**4 wrt l.\nAnswer: -4*h*l**3 + 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34340439703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and 2\/(-12) + 12054\/(-2520)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -4.9\nAnswer: 9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 7*o**2 - 3*o - 3. Let i(n) = 10*n**3 - 34*n**2 + 14*n + 14. Calculate -14*a(m) - 3*i(m).\nAnswer: -2*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17.98 (b) -2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16770*b**2*i**3 - 2*b*i**3 - 21*b - 13*i**3 + i**2 wrt b?\nAnswer: 33540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8 - -11)\/((14\/(-132))\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 14*p**5\/17 + 32*p**4\/17 - 2*p**3 - 4*p**2 + 40*p\/17 + 16\/17 = 0.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2445555?\nAnswer: 2445551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -0. Let h = 10 + -12. Let y = 0.45 - 0.05. What is the third biggest value in j, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21 = -1, -2*b - 1216 = 2*a. Let o = 849 + b. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-13)\/(-26))\/(4\/(-105002)*-2). Let u = 6552 - i. What is the common denominator of u and 21\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.99 + 0.01. Let z = k - 52. Let v = z + 16. What is the third smallest value in 4, 6, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965591821?\nAnswer: 965591821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14*u = 0. Suppose -5*z + 2*z = 3*t - 3, -2*t - 4*z - 6 = u. Find b, given that 4\/5*b**4 + 0 + 0*b**3 + 2\/5*b - 4\/5*b**2 - 2\/5*b**t = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 j when three letters picked without replacement from titfkffpkjttjkffktjf?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174, 182, 206, 252, 326, 434, 582, 776?\n\"Answer: a**3 + 2*a**2 - 5*a + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -163, 4 in descending order.\nAnswer: 4, -8, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 13*s**2 - 23*s + 22. What is the remainder when k(-11) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 1\/7, 5, -34 in increasing order.\nAnswer: -34, -1\/10, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-760)\/(-55) + 2\/11. What is the common denominator of 37\/6 and 4\/p - 14237\/(-2576)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*t - 2*h, 4*t = -0*h + 4*h + 4. Let r be t\/5 + 68334\/15 + 1. Suppose 0 = 4*k - r - 95. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*-4*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33 + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 - -62. Let v = f + 90. Calculate the highest common divisor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 11*g - 2*g, -4*g - 12 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03616260336 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s = -23*s - 96. Which is the second biggest value? (a) -3 (b) 3.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28845273, 28845279, 28845289, 28845303, 28845321?\n\"Answer: 2*p**2 + 28845271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1032276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 3*o)*(-2*o**4 - 3*o**4 + 3*o**4) - 3 + 3 + 7*o**5 + 72*o**3 + o**5 + 327*o**4 - 327*o**4.\nAnswer: 6*o**5 + 72*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 divided by 6?\nAnswer: 341\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2)*(4 + 1). Let q = 15385\/7 + -2198. Let s(p) = p**2 + 3*p. Let t be s(-3). Which is the third biggest value? (a) t (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 5 - 9)*(0*i + 3*i - 2*i + (3 - 4 + 2)*(2*i - 3*i + 0*i) + i - 3*i + 4*i + i + 5*i - 3*i)*(-3 + 3 + 1)*(-1 - 3 + 2)*(-211 - 39*i**2 + 211).\nAnswer: 1170*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-2535)\/(-130))*(1 + (1 - 3))*111?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 13*g = -45. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 14*d - 50. Let a be k(-17). Let l be a - (-8 + 5)\/((-6)\/(-4)). Find x, given that -1\/5*x**l + 0 - 2\/5*x - 3\/5*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5))**(-18)*g\/g**(4\/7)*g\/(g\/(g\/(g**(-5)*g))))**(-1\/64) assuming g is positive.\nAnswer: g**(-167\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 13. Let w be z(7). Suppose w = -4*u + 10. What is the units digit of 3*u\/((-1)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 11 - 7*t**2 - 7*t**2 - 11 - 3*t.\nAnswer: -14*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeaeaaeezzeaza. What is prob of picking 1 a and 3 z?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*h**2 + 8*h**2 - 14*h**2)*(5 - 3 + 2).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48600 and 1098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 24 = 4*t, 5*v + 5*v - 3*v + 19 = -28*t + 3*v + 63 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 divided by 1?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*f = f - 127, -3*x - 87 = -3*f. Let b = x - -22. Let u(l) = -5*l**3 + 5*l**2 + 3*l - 2. Is u(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.10380445 to four dps.\nAnswer: -5.1038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*3\/(-18))\/(10\/(-12)). Is h greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*o**4*u - 5*o**2*u - 2*o*u + 135*u wrt o.\nAnswer: -408*o**2*u - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 1, w: 4, p: 1, j: 1}. Give prob of sequence ihwj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 + 2104*h**3 + 4604*h**2 - 201840*h + 633600 = 0.\nAnswer: -12, 5, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = -s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567901633.\nAnswer: 13, 1373, 31817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 9132 and 173484\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 9 = 3. Solve -4*v = 3*r + 28, -r - 12 = -0*v + k*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + (-7 + -1 - (2 - (4 - 14))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11.5, -3, 4, -7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 - -5 - (-21 + 23)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 1.298 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894251783 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -90*w + 87*w - 54, v - 2*w - 8 = 3*v - v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*12749.\nAnswer: -25498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(s**2 - 4*s**2 + s**2) - 3*s**2 + 0*s**2 + 2*s**2 + 4*s**2 - 3*s**2 + 0*s**2 + 1 - s**2 - 15*s + 16*s - 2 + 11*s**2 + 6*s**2 - 2*s**2.\nAnswer: 16*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-2)\/1)\/((-54)\/(-9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1, 4, 1\/7, 24 in descending order.\nAnswer: 24, 4, 1, 1\/7, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 3. Let a be p(-3). Let f = a + 16. Let t(g) = -g**2 - 11*g + 33. Let u be t(-12). Solve 5*v + d + u = 0, f*v + 13 = 4*d - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/8 - -2)*(-2)\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.88. Let i = o + -5.12. Let w = 0.7 - -0.3. Sort i, w, -4 in descending order.\nAnswer: w, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 85*f**3 + 8876 + 330 - 4*f**2 + 71*f**3.\nAnswer: -14*f**3 - 4*f**2 - 2*f + 9206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 75, 67, 41, -9, -89, -205, -363?\n\"Answer: -g**3 - 3*g**2 + 8*g + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 17. Let f be 4\/(-26) - (-445)\/(-65). Let d be c(f). List the prime factors of (d + -62)*(-1)\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-63) + (-13872)\/(-126). Suppose 23*w = w + u. Suppose -3*z = -0 - 3. Solve z + w = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 0 + 4\/3*h**3 - 512\/3*h**2 + 336*h = 0?\nAnswer: 0, 2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*o*z + 1129*o - z wrt z.\nAnswer: -118*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 556832 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/5)*s**1)\/(s**(-4)\/s**(-2\/11)))\/((s**(1\/7)*s)\/(s\/s**(-4\/5))*(s*s**(3\/2))\/s**1) assuming s is positive.\nAnswer: s**(2907\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 11 = -5*t + n, -20 = 5*n. Let z be (-88)\/(-24) - 1\/t. Solve 3*g + z = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28557 + -112262.\nAnswer: -83705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q + a, q - 5*a + 2*a + 1 = 0. Let f(c) = -c**2 - 4*c - 5. Let o(k) = -2*k**2 - 7*k - 6. Let i(b) = 4*f(b) - 3*o(b). Give i(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 + 0.52. Let x = -1.9 - -6.9. What is the nearest to -1 in x, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 11:35 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 12*w**2 - 9*w + 11. Let n be x(-11). Let s = 21 - 32. Does n = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45*18\/15*-5. Let u = c + 274. Calculate the highest common factor of 9 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-4) - (8 + (-2100)\/112)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h**2 + h)*((-4*h + 2*h + 4*h)*(2*h + 0*h - 4*h) + 0*h**2 + 2*h**2 + 0*h**2 + 0*h**2 + 3*h**2 - 2*h**2 - 6*h**2 + 0*h**2 - 2*h**2).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1364, 1284, 1180, 1058, 924, 784?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 3*h - 50. Let w = -388 + 394. What is the remainder when 195 is divided by t(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**3 - 2*h**2 + 6*h + 4. Let f(t) be the second derivative of 9\/2*t**2 + 13\/6*t**3 + 0 + 11\/20*t**5 - 1\/3*t**4 - t. Calculate -13*d(a) + 6*f(a).\nAnswer: a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/24 + 5*o**3\/3 - 3*o**2 + 9. What is n(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/126)\/(11265\/(-6759)))\/(2\/24).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/6337, -2\/3 in ascending order.\nAnswer: -1, -2\/3, 2\/6337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41164 + -1?\nAnswer: -41165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142103964.\nAnswer: 2, 3, 19, 623263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:31 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:54 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -15*h - 15. Let d = h - 12. Let -d*m**2 + 33 - 33 - m**3 = 0. Calculate m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*150\/180*(-716985)\/4230.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 8:02 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(1 - 6 + 4)*(-10 + 10 - 5*h)*(3*h**2 - 5*h**2 + 27*h**2).\nAnswer: 125*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6652413\/11 or 604764?\nAnswer: 604764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 4*x**2 - x + 1. Let n be p(-3). Let b = 22 - 10. Suppose 0 = -2*f + 5*f + b. Put -1, n, f in descending order.\nAnswer: -1, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/13 or 4?\nAnswer: 50\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 205 (c) 9 (d) 3 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**0))**48*(d**(2\/3))**23*(d*d**(-2\/9))\/(d**(3\/2)\/d)*(d*d\/d**1)**(-1\/60) assuming d is positive.\nAnswer: d**(2807\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 13*y - 6, -5*y - 30 = -5*g. What is the remainder when 247 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51983643.\nAnswer: 3, 491, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96\/(-32) - 44\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 - 7 = 0. Factor -17*g**3 + 0*g**2 - 20*g**3 + g**2 - 2*g + 38*g**j.\nAnswer: g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53859248 rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/i**(-8) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6042 - 5670. What are the prime factors of n?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*16\/(-240)*-10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 96, 48, 0, -48, -96, -144?\n\"Answer: -48*z + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 72 = -15*v. Suppose -4*x - 2*d = -21 - 51, -4*d + v = 4*x. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 = 2*z + 2*z, -5*s = -5*z - 5. Calculate the remainder when 46 is divided by (-6)\/(-10)*z*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {m: 3, e: 4, k: 4, a: 3, q: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 4. Let k be r(-10). Let m = -20 - k. Let v be (-22)\/m + 3\/(-2). Solve -3*p - 6*i - 16 = -i, v*i + 12 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 28, -1, -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*q + 66 - 570 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 339 and 327.\nAnswer: 110853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3 - 1290*k**2 - 650457*k + 1962900 = 0.\nAnswer: -300, 3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3206 = 304*w + 642 - 1388 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b + 5*b + 5*b + 7*b + 12*b + 37*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -20*z + 11*z - 4 + 10*z. Let i be 136\/(-16) + (-3)\/6. Let x = -2 - i. What is v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + -6*(-2 + sqrt(1053) + sqrt(104)\/sqrt(8)*6)).\nAnswer: -360*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -29) + -2 - 1. What is the smallest value in 1, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1 = -3*c - 2, 15 = -5*t. Let u(d) = d**3 + 6*d**2 + 3. Let q be u(-6). What is the greatest common divisor of q and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9633802 centimeters?\nAnswer: 9633.802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 5862\/737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/800*55 + (-15)\/(-25) - (3 - 5)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9310b - -1a?\nAnswer: 93126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.2 - 51. Let h = f - -28.8. Which is the biggest value? (a) 3 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/5)*m)**(-13\/2)\/((m*m**(-4\/5)*m)\/(m*m\/(m**7\/m))) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7486 - 7486.1. What is the nearest to -2\/615 in 0.2, -1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 15) + (69 - (161 + -84)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -151. Let i(q) = q**2 - 6*q - 3. Let x be i(g). Let t = 4 + -2. Solve t*d + 2*r = -0 + 2, r = x*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 94 = 4*k, 2*c + 105*k - 27 = 102*k + 30 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) 6 (c) 19.8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/o)**(2\/59)\/(o**(-1\/3))**(4\/11) assuming o is positive.\nAnswer: o**(203\/1947)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 2. Let g be y(2). Let d(m) = g - 10 - 12*m**2 + 10. Let k(b) = -b**2. Determine k(d(q)).\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 32 = -4*k. Which is the second smallest value? (a) k (b) -0.7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = k + 168. Let g = 20491\/22 - 927. Calculate the common denominator of (-258)\/k - (-15)\/(4 + -1) and g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110100 + -100011010010011?\nAnswer: -100010011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 8*f + 2. Let t be l(-8). Let v(n) = -n**t + 0*n**3 + n**3 + 4*n**3. Calculate the smallest common multiple of 5 and v(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 2:38 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.3, -5\/6, -1\/6, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 3, -27 in ascending order.\nAnswer: -27, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 7*d = 2*m - 8738, 2*m = 5*d + 8717. List the prime factors of m.\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*k + 24592 = 1933 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -129*x**5\/5 + 541*x**4\/12 - x - 59. Find the third derivative of q(k) wrt k.\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3910003 = -m, -3*n + 3909988 = -2*n - 4*m. What is n rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**3 + 3*g**2 + 42*g + 24.\nAnswer: -3*(g - 2)*(g + 1)*(5*g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 344451702 a multiple of 1918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 17*b**2 + 22*b + 1. Let l(v) = -3*v**3 + 50*v**2 - 65*v - 3. Let g(d) = -6*l(d) - 17*s(d). Is g(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 36 = 5*q + 5, -13 = a - 3*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 * -629.7.\nAnswer: 113.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*a - 2*a + 22 = 0, 20 = -5*u + 3*a. Let c(v) = -5*v**3 + v**2 + v. Let r be c(u). Let x = r + -5. Is 0 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -728470169*1\nAnswer: -728470169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21101 (base 4) in base 3?\nAnswer: 210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81942 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 95*x + 702. Let n be b(7). Suppose 0 = -4*w + 3*j - 5*j - 300, -5*w = 5*j + 380. Let o = n + w. Does o = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092097 (base 10) to base 9\nAnswer: -2044061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10032221 + 10?\nAnswer: -10032211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 13f8e4b?\nAnswer: 13f8e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954183 is divided by 86743?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275, 553, 829, 1103, 1375, 1645, 1913?\n\"Answer: -q**2 + 281*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182417, 729717, 1641901, 2918975, 4560945, 6567817?\nAnswer: 8939597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21917476.\nAnswer: 2, 7, 179, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/8*(-8)\/(-3). Suppose -39*y = -27*y + 180. Let m be (-10 + 18)*y\/(-40). Solve m = u*q + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r - 4*k + 35, -3*r - k = -21. Suppose -r*p = -3*p. Let a = 9 - 7. Solve -a*g + 6*g + 16 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + 2.5. Which is the smallest value? (a) s (b) 2\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24))\/((-536)\/(-64) + -8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89\/64 - 111\/448. Factor 4\/7*o**5 + 0*o**3 - 8\/7*o**2 + b*o**4 + 0 - 4\/7*o.\nAnswer: 4*o*(o - 1)*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694 + (-4 + -1)\/(-5)?\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39201, 78402, 117603?\n\"Answer: 39201*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/21))**(1\/20) assuming a is positive.\nAnswer: a**(-1\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45146767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6073768 divided by 24491\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -65*o - 461. What are the prime factors of p(-41)?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 242020, 481975, 721942, 961927, 1201936?\n\"Answer: x**3 + 239948*x + 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let i(m) be the first derivative of y + 0*m - 3\/2*m**2. Let j(d) = 2*d**2. Determine j(i(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 162*m**2 + 347*m - 268. Find the first derivative of v(u) wrt u.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -877.3 + 877.3020094. Round l to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25134 and -0.08.\nAnswer: 2010.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**5\/120 - k**4\/6 - 3*k**3\/4 + 2*k**2 - 375*k. Determine n so that h(n) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-18))**(-29) assuming o is positive.\nAnswer: o**(-551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 8*t.\nAnswer: t*(t - 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 735317.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29718 + 30216. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*80\/30. Suppose 2*r = i*t - 182, 2*t - 4*r - 116 + 40 = 0. Let k = t - 44. Calculate the remainder when 39 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {v: 1, w: 2, d: 1, e: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48743 or -48746?\nAnswer: -48746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 11:27 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 12*j - 3*q, 10*j + 12*j - 2*q + 27 = 17*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (222 + -4)*(-2)\/(-4). Suppose -33 = 4*d - z. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.58 and 1?\nAnswer: 27.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42946 = 5*d + h, 4*h = 701*d - 703*d + 17182. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1112021202211?\nAnswer: 1112021202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 2*k**2 - 2*k**2 + ((-3 - 4 + 4)*(3 - 2 - 5) + 4 - 3 + 0)*(4*k**4 + 0*k**4 - 3*k**4) to a*k**3 + d + m*k + j*k**4 + o*k**2 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 - 3*f - 2. What is w(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98949.\nAnswer: 3, 32983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193429\/1617 + 1313\/11. Find the common denominator of 55\/3 and q.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.54008 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.48 - -0.08. Let i = 0 - j. Let v = i + -1. What is the biggest value in 0, v, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*o = 188*o - 3088 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14561\/14 + 1039. Calculate the common denominator of -61\/140 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -12*n + 93. Is x(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 5:40 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13476200 is divided by 37643.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 296017321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) -0.5 (c) -2 (d) -5 (e) 0.069\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.172 - 0.1719685. Round a to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61256667844668 and 1.\nAnswer: 61256667844669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 19790064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -298*w - 24205. Calculate l(-82).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + -2)*(-4 + 3). Let f(z) = -5*z + 2. Let a be f(x). Let r = -15 - a. Put 2, r, 1 in descending order.\nAnswer: r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85223 is divided by 16995.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*m + 60, -36 = -m + 3*j - 11. Let z be (147\/28)\/(30\/80). Solve 16 = m*k - z*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32, 209, 902, 2227, 4364, 7493?\n\"Answer: 30*x**3 + 46*x**2 - 107*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 139. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 + -53. Calculate the greatest common factor of 71 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 14866.\nAnswer: 1\/14866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(112) + 0 + sqrt(112))*3 - (sqrt(112) + 0 + 4)))**2 + (-1 + sqrt(56)\/(sqrt(24)\/sqrt(3)) - (0 + sqrt(7))*-1*-1).\nAnswer: -2560*sqrt(7) + 45055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 q when four letters picked without replacement from nnnqcqoqcnnco?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -111?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417127249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 32*r - 64. Calculate c(5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15451 (base 13) to base 12.\nAnswer: 1b394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4262 + 8527\/2. Suppose 1 - s*p + 1\/2*p**2 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74.9 + 75. Suppose 0*q = -2*c - 3*q - 20, c + 4*q + 20 = 0. What is the third biggest value in c, 5, k, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5375 - 3111. List the prime factors of n.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3238 - -51.61.\nAnswer: -3186.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 2*b - 8. Let g = -1745 + 1752. Let r(m) = 3*m**3 - 3*m + 15. Calculate g*x(o) + 4*r(o).\nAnswer: -2*o**3 + 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-2 - (-1 + -2)). Let r(w) = -w**3 + 6*w**2 - 4*w - 2. Let u be r(q). Suppose u*a - 4*d - 273 = 0, 5*a + 0*d - 460 = 5*d. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -392 - -414. Let q(t) = -t + 27. Let a be q(x). Solve a*l - 5*f - 5 = 0, 3*f = -4*l + 2*f + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/7 and -51\/326.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 94*x**3 + 308*x**2 - 376*x - 1200 = 0. Calculate x.\nAnswer: -3, -2, 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 6}. What is prob of picking 3 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 - 5*u + 13. Let h be j(4). Let z = h - -98. Let t(x) = 3*x + 7. Let a(o) = 21*o + 21*o + 8 - 38*o. What is z*a(m) + 6*t(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -17874*l**4 + 5976*l**3 + 15882*l**2 - 7960*l + 8 = 0.\nAnswer: -1, 1\/993, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001605 to five dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -43225 (base 10) in base 14?\nAnswer: -11a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 569451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -133, -131, -131, -133, -137, -143, -151?\n\"Answer: -p**2 + 5*p - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 18.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -2, 31, -5 in increasing order.\nAnswer: -5, -3, -2, 13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**30*u))\/u)\/u*u)**9*(u*u\/(u**(-46)*u))\/u*(u\/(u*u**(-6\/35)\/u))\/u assuming u is positive.\nAnswer: u**(-7834\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537.5813 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, q: 2, w: 6, r: 4}. Give prob of picking 1 r and 1 d.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 14*v - 21. Solve -p - 20 = v*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843450 divided by 50?\nAnswer: 36869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 352368 or 1057108\/3?\nAnswer: 1057108\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 31*r**3 - r + 8*r**2 - 8 + 0*r + 26*r**3 - 56*r**3. Calculate t(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 - (504\/(-57) + 918\/(-5814))\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 4*m - 2*m + 182, -5*m = -c + 68. Suppose 3*f + 2*h = 3653, 41*f - c*f = 2*h - 2438. 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: Let b = 30 + -25. Suppose 0 = -b*y + 4*m + m + 40, 40 = 5*y - 3*m. Solve f + f = -y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3312 by 1.\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:06 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76491910687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -38, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23018\/306 + (-4)\/18. Solve -250*z - k = -235*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 4. Let s(a) = -a**2 - 10*a + 4. Let j be s(-10). Let i be m(j). Factor 0 + 1\/2*w**3 + i*w + 0*w**2 - 1\/2*w**4.\nAnswer: -w**3*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 54, -1, -11, -4 in descending order.\nAnswer: 54, 2, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -2.3. Suppose 16 = 8*c + 8. What is the third smallest value in 4, n, c, 1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -94, -6\/22921, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**7\/10080 - 29*s**6\/2880 - 9*s**5\/80 + 2*s**4\/3 - 39*s**2 - 2. Let j(q) be the second derivative of w(q). Factor j(k).\nAnswer: -(k + 2)*(k + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2019580840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from xnnx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -96058880999 and 122?\nAnswer: 96058881121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 2205772.\nAnswer: -77\/2205772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 28*s + 54. Let w be p(6). Sort 6, w, 1.\nAnswer: w, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18333765 to the nearest integer?\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 108*f - 7. Let g = -10 - -13. Is y(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-1*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n**3 + 15*n**3 - 7*n**3)*(-3 - 1 - 3 - 4 + 3 + 2 + (-2 - 2 + 2)*(-1 + 1 + 1) - 2 + 1 + 2) to x + s*n + r*n**2 + b*n**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.2868 millilitres to litres.\nAnswer: 0.0672868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 20*t + 102. Let i be g(-13). Let o = i - -4264\/27. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -1 + 1\/4*f**4 + 1\/2*f**2 - 1\/3*f**3 + 2*f. Let c(v) = -v**2 - 2*v + 3. Let k be c(-3). What is b(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30546 + -153?\nAnswer: -153.30546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1034)\/(-94))\/(2\/((-6)\/3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77905.\nAnswer: 5, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2238*q**6 + 309*q**5 - 3893*q**2 + 15*q?\nAnswer: 268560*q**3 + 18540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r - 27. Let s be o(-2). Solve 2*w - 4*u = 4, 7*u - 10 = -s*w + 2*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 534, 1919, 4236, 7491, 11690, 16839, 22944?\n\"Answer: h**3 + 460*h**2 - 2*h + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -14897 + 15033.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 8. What is the third biggest value in -3, w, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, 541\/3, -2, -5\/4, -1\/7 in ascending order.\nAnswer: -2, -5\/4, -1\/7, 0.1, 1, 541\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 198, 12, -286, -684, -1170, -1732, -2358?\n\"Answer: 2*f**3 - 68*f**2 + 4*f + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11)*y)\/y**7*(y**(-2\/9)*y)**(-8))\/(y**(-1\/4)\/((y*y*y*y**(-3\/5)*y)\/y)*(((y*y*y*y*y**(2\/3))\/y)\/y)\/((y*y**(1\/10)*y)\/y)) assuming y is positive.\nAnswer: y**(-4483\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100111110000011 (base 2) in base 13?\nAnswer: 1b245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011110010 (base 2) to base 16.\nAnswer: -4f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 371.45799?\nAnswer: 7.4291598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 p when four letters picked without replacement from jphhhpjppppjjhp.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a + 2*c - 730 = 134*a - 43*a + 4*c, 3*a = c + 3*c - 95 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12903 divided by 36.\nAnswer: 4301\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 1 = m, 0 = -f - 2*m - 83694 + 83704 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4295*n - 5213 + 10520 - 5307 in the form r*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/(-29)*(-3)\/(6\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.64 - 117.64. Let w = l + 168. Let b = 48 - w. Sort -1\/2, b, 1 in increasing order.\nAnswer: b, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 4*d + 2 + 2*d**2 - 15*d + 4*d**2 - 10*d - 2*d.\nAnswer: 6*d**2 - 28*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r + r**3 + 2*r**4 - 4*r + 0*r**3 in the form h*r**2 + n + g*r**4 + x*r + a*r**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-130)\/15)\/1*15\/(-2). Let y = -56 + f. Calculate the remainder when 24 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -201.095?\nAnswer: -200.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvnn?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*2*sqrt(425).\nAnswer: -40*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -4*l + l**2 - 1 - 1\/2*l**4 + 4\/3*l**3. Solve k(b) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-7)\/(70\/(-2725)). Let p = t + -126. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.15, 4 in descending order.\nAnswer: 4, -0.15, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 26. Suppose -1 = -c + v. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 82056 or 82082?\nAnswer: 82082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734328772?\nAnswer: 2, 183582193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234780062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -173633146.4 to the nearest 10000.\nAnswer: -173630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 9, s: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 + (4 - 1) - (-15 + 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1.5 (b) -1 (c) -1\/22 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173503311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 32. Let m = p - -30.6. What is the nearest to 1 in 1.4, 5, m?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 - 31*m**3 - 5*m**3.\nAnswer: -43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -123, -245, -359, -459, -539?\n\"Answer: l**3 - 2*l**2 - 123*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18026*o**2 - o - 16756?\nAnswer: -36052*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1 + -2 + sqrt(180) + sqrt(180))*4)**2.\nAnswer: -576*sqrt(5) + 25936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -23. Suppose l*j - 15 = 3*j. Suppose -2*h = 3*p - 0*p - 1133, 1888 = 5*p + j*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwww. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 14274*h - 14269*h - 136, 5*h - 141 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 28\/5*x**2 + 8\/5*x + 0 = 0?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1715 divided by 343\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2803 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166, -168, -170?\n\"Answer: -2*b - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 1. Suppose -14 + 68 = 9*c. Let h(j) = -9*j + 1. Give c*h(n) + 7*b(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 30. What is u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 + 45*v + 4. Let z be x(-15). Let u be (-57)\/(-9) + (-16)\/12. Solve -4*y = -z, -l + u*y + 1 = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484878439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 13*b - 30 = 0. Suppose -4*m + h - 6*h = -39, 4*m - 18 = 2*h. What is the remainder when 14 is divided by m\/(4 + b\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*r - 6618 = -460*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(112\/(-12))*(2 - 14\/5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -738790000 to the nearest 1000000.\nAnswer: -739000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*q - 66. Suppose -20*g + 90 = -15*g. What is the remainder when q is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4103 and 1386.\nAnswer: 516978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229583275.\nAnswer: 5, 9183331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - -0.42. What is the closest to m in -2\/25, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9590 - 11*y**2 - 2469 + 15*y**2 - 7121.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 - g**2 - 4*g + 4. What is the units digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.23 minus 1875.7?\nAnswer: -1573.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 8*i)*(-i**3 + 2*i**3 + i**3)*(1 + 0 + 0).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 6 = -13*j. Solve 3*t + 1 = 2*t, 3*p - j*t - 14 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n + 19. Let a(q) = 8*q - 9. Let m(f) = -5*a(f) - 3*s(f). Let y be m(20). What is the greatest common divisor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/(2\/874). Let j = w - 288. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169 - 175 - (36 - -2 - -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*96\/(-1080)*3\/(-138).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 9 = 0. Let h(l) = l**3 + 8*l**2 - 13*l + 2. Does 19 divide h(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8856 divided by 4.\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2626 divided by -101.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 9*l**2 + 11*l + 15. Let q be x(-10). Let w be 18\/q*((-80)\/(-12) + 0). What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45305.27289 - 45305. Round u to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f. Let k(h) = 5948808*h. Give q(k(m)).\nAnswer: 23795232*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 857211617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 74864183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - t + 117 = -0*t, -3*u - 13*t = -4*u - 19*t + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 220, 921, 2090, 3727, 5832, 8405, 11446?\n\"Answer: 234*g**2 - g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -81. What are the prime factors of 13\/26 - 1*(-1214)\/o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721226357 - 4*d**2 + 721226357.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s + 411. Let q be f(-36). What is the greatest common divisor of 2415 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1182, -9084, -30510, -72216, -140958, -243492, -386574?\n\"Answer: -1126*g**3 - 6*g**2 - 2*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3464368.\nAnswer: 2, 216523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150399 and 127449.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 8. Let j be g(7). Let m(n) = 3*n**2 - n + 9. Let x be m(0). What is the greatest common factor of j and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 8*q + 5*f, -2*q - f = 0. Solve q = -d - 2 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(52)*3)**2 + (sqrt(416) - (sqrt(416) - (-2*sqrt(416) + sqrt(416)) - sqrt(416)))\/sqrt(8) + (5 + 1*sqrt(1872))**2 + 0 + 1.\nAnswer: 120*sqrt(13) + 3302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (1 + sqrt(3))*4)*1 - (2 + -2*sqrt(300) + sqrt(300) + sqrt(300) + -3))**2.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*m - 3. Suppose -m*p + 5528 = 3*r, 3*p - 2356 = 5*r + 954. Does 85 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 - 22725*g**2\/2 + 43046829*g\/2 - 43024107\/2.\nAnswer: 3*(g - 3787)**2*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 15) to base 14.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**2 - 51*z + 155.\nAnswer: 10*z - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 162 = -3*q - 0*q, -x = 3*q - 158. What are the prime factors of q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:17 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 - 7*b - 2*b + 3*b.\nAnswer: 20*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 28*j**3 + 3*j**2 - 14. Let g(h) = -112*h**3 - 12*h**2 + h + 57. What is -2*g(k) - 9*q(k)?\nAnswer: -28*k**3 - 3*k**2 - 2*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 != 3874\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3365396.\nAnswer: 2, 841349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 62 = 3*v - 90, 0 = -7*v + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (65 - (0 - 2)) + 4. Let w be 40\/3*(-1 + 13). Let m = w - z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 24 = -8*k + 3*c, -5*c = -4*k + 24. Suppose k*a + 70 - 592 = 0. Let n = 203 - a. Is n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 take away 44.0689858?\nAnswer: -44.0549858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11 - 6)*(-2*b**4 - 83*b**2 - 8 + 83*b**2).\nAnswer: -20*b**4 - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 - 144*p**4 - 1866*p**3 - 3312*p**2 - 1587*p.\nAnswer: -3*p*(p + 1)**2*(p + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74747690, 74747688, 74747688, 74747690, 74747694, 74747700, 74747708?\nAnswer: 74747718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 3, 48, 143, 306, 555, 908, 1383?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -71*a**2 + 624*a - 17*a**2 - 1440 + 130*a**3 - 126*a**3 = 0. What is a?\nAnswer: 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - 54*c + 5. Let r be w(-18). Solve 0 = -2*o + 4*o + 10, -a = r*o + 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 40*p = -256. Solve 0 = -7*a + 3*a + p*i - 8, -2*i = a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 12. Suppose -v*k + 20 = k. Suppose 14 = -3*a + k*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -12. Which is smaller: -0.07 or o?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i. Let s(c) be the first derivative of 7*c**3\/3 + 105. Calculate s(x(m)).\nAnswer: 1575*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k + 4. Let q(b) be the first derivative of -2*b**2 + 327. What is q(y(f))?\nAnswer: -24*f - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38707609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i)**(-44)\/(i*i\/((i*i**1*i)\/i))**36)**(-1\/10) assuming i is positive.\nAnswer: i**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + t + t - 3*t + 0*t + 2*t + 2*t + 0*t - 3*t + (-3 + t + 3)*(4 + 0 - 1))*(82 - 82 + 8*t) to k*t + g*t**2 + j and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 6. Let i be 140\/16 + h\/(-12). Suppose 5*q - 27 = -4*a + 2*a, -q + i = 4*a. Is a bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11) + (10 - ((1 - -27) + -13)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*d = -22, 0*h - 3*h - 13 = 2*d. Let i = -12 - h. Let f(z) = -z**2 - 10*z + 12. Determine f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47.7 + -48. Let n = -0.3 - -0.5. Which is the third biggest value? (a) 1\/4 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 20*g - 12 = 0. What are the prime factors of (-3)\/g*(-127)\/1?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**4 + 14*u**3 - 78*u + 7.\nAnswer: 48*u**2 + 84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*f - 7 + 5, -5*f = 3*m - 5. Which is smaller: -1\/929 or m?\nAnswer: -1\/929","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 5. Suppose -10 = -4*x + 18. What is the lowest common multiple of y(4) and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 25. Let c = -14 + b. Let r = c + -3. Is -1\/2 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.2. Put -1, 0.1, o, 5 in ascending order.\nAnswer: -1, o, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -8*k + 14. Determine v(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 153. What is the greatest common factor of n and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78.6, 2\/9, 3, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290816881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -j - 5*g, -2*j - 2*g = -26 - 0. Let z = j + -10. Let q = 6 + -4. Solve -15 = -5*i - z*i, q*w + 9 = 5*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 688*n - 32976. Determine i(45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028 (base 9) in base 5?\nAnswer: 120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 33926 = -5*h, h - 5 = -10. Let b = r - -15900. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d - 61*d + 120*d)*(-3*d + 5*d + 5*d).\nAnswer: 350*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8225670635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -599, -1202, -1803, -2402, -2999?\n\"Answer: f**2 - 606*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 5230.\nAnswer: -5227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 2\/3, -28, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/110*121\/99\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 162577750 to the power of 1\/3, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 55 - -1) + (-255 - (290 + -528))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c + 32*c + 27*c**3.\nAnswer: 27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(96) + sqrt(6))\/sqrt(3) + 3 + -4*(0 + sqrt(882) + sqrt(882) + sqrt(882)))**2.\nAnswer: 494*sqrt(2) + 122019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*z = 4*z, 3*c + 5*z + 7 = 0. Let y(m) = -m + 1 + 13 - c. Determine y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 4*c + 160, 0 = 3*x - 5*c - 251. Let p = 58 - x. What is the remainder when 53 is divided by (-1 - p - 0\/6) + 4?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1324479344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 n when four letters picked without replacement from {x: 16, n: 4}.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, y: 5, u: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.7. Let n = 1 + v. Let l be 3*(-2 - (-225)\/108). What is the closest to -2 in l, n, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309988099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*x - 20*x - 7*x - 2*x - 2*x + 4*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000346858 to 7 dps.\nAnswer: 0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Suppose -j + i = 2*a - 4, -2*a + 20 = 4*j. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55775\/9 - 6197. Let w(o) = -o**3 + 2*o**2 + 4*o + 2. Let i be w(4). Let r be (0 - -1) + 18\/i. Which is the closest to h? (a) r (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24623, 49238, 73853?\nAnswer: 98468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2040 is divided by 504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2306\/11 + 210. Suppose j - 4*i = 3*j - 10, 2*j - 3*i + 4 = 0. Is f >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2\/3, -3 in ascending order.\nAnswer: -3, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9440.0095 - -9418. Let x = -22.033 + 0.033. Let u = s - x. What is u rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1923892.\nAnswer: 2, 179, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91622 is divided by 261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 3}. What is prob of picking 1 c and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*h - 44*h - 3*h**2 + 0*h**2 to the form r + o*h**2 + p*h and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k - 34525 = 0. Let c = k + -60095. What is c rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2643 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 874*x - 33. Let k(r) = 68*r. Give u(k(v)).\nAnswer: 59432*v - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -11650.89?\nAnswer: 11650.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*b + 3*b + 6*b + 6*b - 152 to the form c + n*b and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 15*b + 104. Let y be d(17). Let r be 28\/45 + y\/(-315). Determine z, given that 6\/5*z + 4\/5 + r*z**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -272. What is the remainder when g is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 7 + 3*n + n. Let x(q) = -5*q - 1. Let j(i) = 3*i. Let c(m) = -7*j(m) - 4*x(m). Determine 11*c(s) + 6*v(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72884229?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6509405*u**4 + 13064450*u**3 + 6600765*u**2 + 45800*u + 80 = 0.\nAnswer: -1, -4\/1141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187642955 divided by -545.\nAnswer: -344299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 37. List the prime factors of (-7 - k)\/(3\/(-219)).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3.9, 1\/6 in descending order.\nAnswer: 1\/6, -3.9, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5861 (base 11) to base 3.\nAnswer: 101112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13264 and 5280730.\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**2 + 55*a - 9. Let s(q) = 28*q + 88. Let u be s(-3). Let r be n(u). Solve 0 = 2*h + r*h + 3*y, -h = 2*y - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11245*g**2 + 11245*g**2 + 27*g**3 - 22*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - (-3)\/(-7)*-31. Let k(h) = 2*h + x + 4 - 6 + 27. Let t be k(-19). Solve -l - l = t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 63 + 13 = 4*y, -4*h = 3*y - 45. Suppose -6*f + h = -3*f. Calculate the greatest common divisor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 6568*r**2 - 13148*r - 6576.\nAnswer: 4*(r - 1644)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 4*h**2 + 7*h + 1. Let y(s) = 6*s**3 + 22*s**2 - 36*s - 6. Give 22*n(j) + 4*y(j).\nAnswer: 2*j**3 + 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -34. Which is the nearest to -2\/13? (a) d (b) 4\/9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**5\/60 + 7*l**4\/24 + l**3\/2 - l**2 - 89*l + 47. Let y(q) be the second derivative of z(q). Determine y(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i + 132. Suppose -120 = -5*j + 70. Suppose -3*b = -14 + j. What is the common denominator of b and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11077598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, 3, -217775 in descending order.\nAnswer: 6, 3, -15, -217775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1380 and -32\/897.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22625, 45234, 67843, 90452, 113061, 135670?\nAnswer: 158279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 6*s + 4*s**2 - 7*s)*(2*s - 15 + 15).\nAnswer: 8*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/37 or 0.3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -35*x**2 + 51*x - 48. What is s(2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, -97, -699, -1685, -3067, -4857?\nAnswer: -7067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375352 divided by 5?\nAnswer: 375352\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2917 - 1253. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {e: 7, p: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 32*g - 32. Let z be w(38). Let n = 525 - z. What are the prime factors of n?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.0354 - -0.2154. Let r = 34 - 57. Let p = r - f. What is p rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, d: 5, m: 3}. Give prob of picking 1 m and 1 d.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let h(b) = -b**3 + b**2 + 3*b - 3. Let v be h(-2). Let u be (-6)\/((-3)\/(-2) - v). Solve g*p + 4*p = u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -714687612.680000852 - -714687387.68. Let j = g + 225. What is j rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035*y - 108363 = -492*y + 73711 for y.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -3\/4 (c) 180.133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, 0, -48 in decreasing order.\nAnswer: 2, 0, -0.3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - -102112?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54402 + 359*q + 54397 - 359*q + 9*q**3 - 7*q**3.\nAnswer: 2*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 20. Let x be j + -5 + (-27)\/(-3). Solve -8*c = -x*c - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8676, 4763, -1758, -10887, -22624, -36969, -53922?\n\"Answer: -1304*y**2 - y + 9981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 6*m - 57 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*(d*d**(8\/13)*d)\/d*d*d)\/d*(d*d**2)\/d assuming d is positive.\nAnswer: d**(99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -110.23 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 15*w + 72 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6632600 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-4 - -3) + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 12387?\nAnswer: 28\/12387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t. Suppose t = -2*l + 12. What is the least common multiple of 3 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113452675.\nAnswer: 5, 7, 23, 71, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 20808731.\nAnswer: 104043655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*p**2 - 9 + 9 - 170*p**2.\nAnswer: -564*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 15. Let s(n) = -n - 6. Let a be s(-10). Suppose 6*x - a = -p + x, 2*x + 16 = -2*p. Is 12 a factor of r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 8 = -11*g. Let h(v) be the third derivative of g*v**2 + 0 + 0*v**5 + 0*v + 1\/420*v**6 - 1\/735*v**7 + 0*v**4 + 0*v**3. Factor h(u).\nAnswer: -2*u**3*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 1 + 4*2*sqrt(5) - (6*-2*sqrt(40))\/((2*sqrt(24) + sqrt(24))\/sqrt(3))) + -3.\nAnswer: -2 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8 = 5*c - 32, 0 = -4*z + 5*c + 77. Let p = z - 15. Let t be (6\/15)\/((-2)\/(-20)). Put t, 1, p in descending order.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 74 = -2*r + 84, 0 = 2*m - 3*r + 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*k = 557*k + 56. Solve -2*r = 2*l - 8, 9*r + k = 2*l + 5*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Let p be (i - 1)*(-4)\/3. Let g be 7 + (-20)\/(8 + -3). Solve -g*l - l = 2*w - 2, -5*l + 1 = p*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3350)\/(-1) + (-13440)\/(-2640) + (-1)\/11. Is 3356 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2020*l**2 + 859925*l - 859925*l.\nAnswer: -2020*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/6 + 1004*g\/3 + 2009\/6 = 0. What is g?\nAnswer: -1, 2009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 x, and 2 s when four letters picked without replacement from {x: 1, e: 2, v: 5, s: 4, a: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - -1. Let f(a) = -a**3 + 4*a**2 - a - 3. Let y be f(3). Suppose t + 24 = y*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -90323883?\nAnswer: -90323882.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*x**5 + 106*x - 8*x**2 + 2*x**2 + 548*x**6 - 90*x**5 + 5*x**2 wrt x?\nAnswer: 65760*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7650, 7699, 7748?\nAnswer: 7797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464325.\nAnswer: 5, 58573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19889 - -38939. List the prime factors of o.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 2*s - 558. Let q = 75 + s. Find the second derivative of q*j - 2*j - j**4 - 5*j**4 - 3*j**4 wrt j.\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 165.885513 to 1 dp.\nAnswer: 165.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c. Let i(w) = -365*w. Determine a(i(r)).\nAnswer: -730*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 0.11?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1026*z**2 + 3*z + 511*z**2 - 2 + 4 + 516*z**2 + 3*z. Give i(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*d + 2*d + 8, -3*d = 3*t. Is ((6\/t)\/(-3))\/1*-3106 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/120 - t**5\/30 - t**4\/12 + 9*t**2. Let o(s) = s**3 + s**2. Give -3*o(l) - q(l).\nAnswer: -2*l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 - 7*p - 6. Let q(d) = 3*d + 26. Let c be q(-7). Suppose 0 = 3*i + a + 10 - 0, c*a = -2*i + 15. List the prime factors of u(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 10:09 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (185 - 185 + 110*l**3)*((-l - 1 + 1)*(4 + 2 - 5) + l - l - 2*l) in the form v*l**4 + j*l + f*l**2 + t + r*l**3 and give v.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + (5*1*sqrt(475) + -5 + -4)*4 + -5))**2.\nAnswer: -118400*sqrt(19) + 3061904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - q = 0. Suppose q + 26 = 2*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 9*m**2 - 6*m - 8. Let h(s) = s**2 + 9*s + 10. Let b be h(-8). Suppose -b*d = -4 - 12. What is g(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*r + 5*r**2 + 3*r**2 + 3*r**2 - 3*r**2 - 6 - 42*r to the form z*r + s + o*r**2 and give z.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 1\/40*x**6 - 1\/4*x**4 + 89*x**2 + 3\/2*x**3 + 0*x + 0 - 31\/30*x**5. What is the second derivative of k(m) wrt m?\nAnswer: 18*m - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-14*(-4)\/(-8))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -223*d**3\/6 - 173*d - 1. Let m(h) = -h. Calculate n(m(r)).\nAnswer: 223*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 8*v + 4*w - 214880, -3*v - w + 128921 = 0. What are the prime factors of v\/28 + (-34)\/(-119)?\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 3, q: 1, i: 2, p: 1, a: 2}. Give prob of sequence psmm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + -15. Let t(g) = -48 - g + j. What is the units digit of t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:45 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.971 + 27.970977321. What is c rounded to seven dps?\nAnswer: -0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105655392 is divided by 689.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 - (-1 + 10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.077*175.68.\nAnswer: -13.52736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*h = -2, 3*y - 6*h - 21 = -h. What is the second derivative of 13*f**2 + 48*f - 62*f**y - 10*f**2 wrt f?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(833)*-2 + sqrt(833))**2 - (4 + sqrt(833) + 3))*5.\nAnswer: -35*sqrt(17) + 4155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**5\/3 + 324*p**4 + 3976*p**3\/3 - 5912*p**2\/3 - 1324*p + 4940\/3 = 0. Calculate p.\nAnswer: -5, -1, 1, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-190)\/(-198) + 122\/549. Factor -16\/11*g**2 + 0*g + 0 + y*g**5 - 12\/11*g**4 + 24\/11*g**3.\nAnswer: 2*g**2*(g - 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2. Let q(v) be the first derivative of 55*v**2\/2 - 185. Calculate g(q(u)).\nAnswer: -9075*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98.241 + -0.241. Let f = 98.0053 - w. What is f rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 27, 45, 67, 93, 123, 157?\n\"Answer: 2*p**2 + 8*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -27. Let a = -5365 + 5371. Sort 5, -4, m, a in ascending order.\nAnswer: -4, m, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 10*k + 17. Suppose 0*p - 8*p = -56. Let g be v(p). Let t(b) = b**3 - 8*b**2 + 7*b + 4. Let f be t(7). Put g, f, 2 in decreasing order.\nAnswer: f, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -55*t + 250 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 2*r**5 + 0*r**5 + (3 - 3 + 3*r**3)*(-566*r**2 + 74*r**2 - 884*r**2).\nAnswer: -4126*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -342, -339, -334, -327, -318?\n\"Answer: h**2 - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + (9 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 67788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*s - 7*j - 49, 0 = -s + j + 17. Suppose -19*z + s*z = -5. Solve 3*x + 3 = -4*t, t = 2*x + 8 + z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/11 + 1140*d**2\/11 + 2286*d\/11 + 104 = 0.\nAnswer: -1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4208*o**4 + 32*o**3 - 8*o**2 - 675247*o - 9 wrt o.\nAnswer: -50496*o**2 + 192*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -198146985 divided by 102085\nAnswer: -1941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f + 19*f - 1 - 26*f - 4*f.\nAnswer: -48*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 13 - ((0 - 7) + 2 + 10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 2*m + 1. Suppose 2*a - 4 + 2 = 0. Suppose -x + 4 = 2. Calculate the remainder when u(a) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (-141 + 236 + -70)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28241 and 310.\nAnswer: 282410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -116, -86, -74, -86, -128, -206?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -5*g + 12, -4*p - 2 = 3*g. Let m(q) = q**2 - 30*q - 6489. Let w be m(97). Solve -w = -g*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 0*m)*(-3*m**2 - m**2 + 0*m**2)*(m + 3 - 3).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -7, -15, -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 2123211030?\nAnswer: 2123211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -170*b + 154*b. Suppose -b*f = 9*f - 99. Calculate the smallest common multiple of f and (-236)\/(-12) - (-2)\/6.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 674 + -362. Let n = -157 + x. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8444 + 3?\nAnswer: -8441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1\/21 (c) 673 (d) -5 (e) -12 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -34. Let h = 75\/2 + -37. What is the second biggest value in h, 5, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 - g**4 - 2*g**4)*(-3 + 4 - 2) + 6 + 2 - 10*g**2 + g**3 + 24304*g**4 - 24307*g**4 - 4*g**2 + 12*g**2 + 4*g**4 - 3*g**4.\nAnswer: -3*g**4 + g**3 - 2*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1 (b) -1 (c) -2 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6422 is divided by 6190.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.51 - 2.49. Let p = 15 + -10. Which is the fourth smallest value? (a) -1 (b) k (c) -1\/2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1332462 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98 + 41 + 57 + 3427*u)*(-2*u**3 + 3*u - 3*u) to v + z*u + j*u**4 + i*u**2 + q*u**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 609.6, 0.2, 3\/4?\nAnswer: 609.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 31 - -15 - (-1 - -22)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. Let q = 1153 + -1149. Put i, 6, q in descending order.\nAnswer: 6, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, d: 8, l: 4}. What is prob of sequence dlv?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**2\/2 + 4*w - 1. Let z be x(-6). Let k(t) = t**2 + t. List the prime factors of k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:07 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13893 and 40073.\nAnswer: 50612199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -167*u**2. Let n(c) = -3*c. What is i(n(m))?\nAnswer: -1503*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007\/12 > 502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162670 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o - 94. Let u be j(-16). Suppose 4*q + 4*h - 30 = 6*h, -u*q = 5*h + 3. Solve 0 = -4*g + g + 6, 0 = 2*x - g + q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:08 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40802 - -40866. Let q be (-2 - -1) + 1*113. Calculate the greatest common divisor of q and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 1 + 0*s**3 + 31*s**4 - s**3 - 29*s**4 + 8*s**2 to the form w*s**3 + l*s**2 + m*s + x + o*s**4 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 85376, 170741, 256116, 341507, 426920, 512361, 597836, 683351?\n\"Answer: m**3 - m**2 + 85361*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*z = -4096, 4*o + 162 = -4*z + 5698. What is the highest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 9*r**2 - 11*r + 8. Let z be -4 + 468\/60 + (-1)\/(-5). Suppose 4*y = -z*c + 52, -2*y + 27 = 3*c - 3*y. Determine o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 24 = 2*l + 4*x, -5*x = -4*l - 9. Let v be 4446\/72 - (-5)\/l. Suppose -i - k = 2 - 13, 3*i = k + 17. What is the highest common divisor of v and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 11. Let a be l(6). Suppose -a*r = 3*w - 4252, 4*r - 5*w = -3*w + 3406. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 102. Let y = -36 - q. Let v = y - 16.91. Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 k when four letters picked without replacement from qqkqqkq?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, 3 in descending order.\nAnswer: 18, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-6)\/(-9) - -23. Suppose 5*j - 4*b = 232, -2*b = 3*j - 0*b - 126. Let k = j - z. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30148.\nAnswer: 2, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97136 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 3 - 10 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51\/7 - -517\/70. Let z = 0.18 - 11.18. Let l = -11 - z. Which is the third biggest value? (a) l (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, 22, -1, 2 in ascending order.\nAnswer: -1, 2, 22, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lib when three letters picked without replacement from bliilibblull.\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a factor of 15471593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1 + (-4)\/2). Let y be (-8 + 3)\/((-1 + 2)*s). Solve 6 = y*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136585 + -82756. Is u a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/917590 and -187\/5505540.\nAnswer: 5505540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -837, -877, -917, -957, -997, -1037?\n\"Answer: -40*m - 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.83 to 1 decimal place.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377860388?\nAnswer: 2, 94465097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 2:59 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-275*k - 158*k + 284*k)*(4*k + 3*k - 12*k + (-4 + 4 + 2*k)*(-3 + 6 - 2) - 2*k + 4*k - 3*k) as a + y*k**2 + r*k and give y.\nAnswer: 596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 344874*i**3 - 6314*i**2 + 5*i?\nAnswer: 2069244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k + 0*k + (2*k + 2*k - 5*k)*(k + 2*k - 5*k) - 4 + 4 + 2*k**2)*(435*k**3 - 407*k**3 + 462*k**3).\nAnswer: 2450*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/3 + 17\/6. Let k(v) = v + 7. Let z be k(-10). Let w = 0 + 1. What is the closest to q in z, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 47317*b + 47325.\nAnswer: -(b + 1)*(8*b - 47325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 51 and 86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + 1295?\nAnswer: 1293.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4960206 and -71\/6.\nAnswer: 4960206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86685 and 9.\nAnswer: 260055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/((-5984)\/(-17))*4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*r + 2205 = 0, -18*b + 22*b = 2*r + 1728. What is the highest common factor of b and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*l - 9 + 1 = 0, -4*r + 22 = 2*l. Suppose -6*s - q + 797 = -2*s, -606 = -r*s + 2*q. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9985*l**2 + 1129*l**2 - 2754*l**2.\nAnswer: -11610*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -107*x - 1559. Determine t(-16).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 4*j + 2. Suppose 0 = 4*s - 2*f + 16, 5*f - 1 = -5*s + 2*s. What are the prime factors of z(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 5*x - 260, x = 5*v - v - 214. Suppose -2*f = 3*r + 99, -2*r - v + 7 = -5*f. Let w = r + 51. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 2. Let f = a - 16. Let c be ((-36)\/(-30) - 2)\/((-1)\/5). Sort f, -5, c in increasing order.\nAnswer: f, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 773520650*y**4 + 869986659 wrt y?\nAnswer: 3094082600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 288*k - 3565. What are the prime factors of g(45)?\nAnswer: 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 230 = -4*h - 11*h. What is the remainder when 491 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 20. Suppose 3*v + 4 = -4*r, 0 = -4*r - 2 - 2. What is the units digit of (v - (-2 + m))*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7026849 by 44757.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -30*a. Let n(v) = 11*v. Let x(z) = 4*z. Let g(t) = n(t) - 3*x(t). Calculate j(g(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + -1. Let n be 3\/(2\/((-112)\/u)). Solve -h + 3*g + 2 = 0, 3*h - g = -h - n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(0*w + 12 - w - w)*(0*w + 3*w - 5*w)*(7 - 6*w - 7 + 0*w - 4*w + 2*w + (-1 - 3 + 2)*(12*w - 24*w - 7*w) + w - 4*w + w - w + 4*w - 2*w).\nAnswer: 232*w**4 - 1392*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:06 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23191 and 5.\nAnswer: 115955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 299 - 154. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -l - 5*j + 23, 2*l - 14 = -4*j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1107*t**2 - 7*t - 7. Let l be q(-7). Let y = l + -93285. What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.3 - 26. Let a = -3 - m. Let d = a + 1.2908. What is d rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72a37 (base 16) to base 6\nAnswer: -14021515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)*s)\/s**1)**19*(s*s*(s**(-1\/2)\/s)\/s*s*s*s\/s**3)\/(((s*s\/s**(-4))\/s)\/s*s*s**6) assuming s is positive.\nAnswer: s**(-213\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 + 2*z**2 - 8*z + 28. Let q be r(5). Suppose q - 2158 = -6*a. Calculate the highest common divisor of a and 450.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 118*v + 38*v**2 - 117*v - 41*v**2 - 21 + (-v - 5*v + 4*v)*(-v - 2*v + v).\nAnswer: v**2 + v - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2915, 2624, 2333, 2042?\n\"Answer: -291*k + 3206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.69?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*t**3 + 8644*t + 1459970.\nAnswer: -15*t**2 + 8644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 11, 47, 119, 239, 419?\n\"Answer: 2*t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/3)\/(-3))\/(3654\/37758).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**4 - 275*r**3 - 3335*r**2 + 12615*r = 0. What is r?\nAnswer: -29, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 49.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 56860224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1350\/2009 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 2*f - 1. Let m(z) be the second derivative of -z**3\/6 + 9*z. Calculate h(x) - 3*m(x).\nAnswer: -2*x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/48 in 2, -0.3, 1\/2, 1\/7, 17?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -109130*k - 40. Let c be b(-8). Round c to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:42 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 2 - 5 - 7*r**2 + 4. Let j be f(1). Suppose j = 3*w, -178 = -4*c - 4*w + 74. Calculate the highest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.330335 times -6\nAnswer: -13.98201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(605)*-2)**2 + sqrt(605) - sqrt(605)) + -1.\nAnswer: 9679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 + 7*k**2 - 243*k.\nAnswer: -12*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -110*g - 12. Let f be y(-8). Let m = -423 + f. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -274, 0 in decreasing order.\nAnswer: 0, -5, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168238684?\nAnswer: 2, 42059671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3 = 5*k, 79*d - 158*d - 3 = -76*d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03765 at least as big as -0.163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/309 and 61\/219390.\nAnswer: 219390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*s + 22 + 63, -s = 2*r + 31. Let z = -16 - s. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5381991, -5382001, -5382041, -5382123, -5382259, -5382461, -5382741, -5383111?\nAnswer: -5383583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -46 - (34 + (-20 - (-22 + 11)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/20 - w**4\/3 - 13*w**3\/6 + 15*w**2 + 2228*w. Calculate z(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, 3, 4, 5 in descending order.\nAnswer: 20, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 3 - 4 + m - 10*m**2 + 11*m**2. Let f(w) = 4*w**2 + w + 1. Let z(b) = -f(b) - 2*g(b). Let l(x) = -4*x**2 + x + 1. What is -7*l(h) + 5*z(h)?\nAnswer: -2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*r**5 + 807*r**3 - 807*r**3)*(2 - 1 + 0) - 2*r**5 + 9*r - 9*r.\nAnswer: -233*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -27.\nAnswer: -32\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -5095988.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 7*g - 52)*(-1 - 4 + 3)*((-4*g + 2*g - 6*g)*(-2 - 3 + 3) - 3*g + g + 3*g).\nAnswer: 238*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*-0.774.\nAnswer: -42.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 4993980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Let n(a) = -a + 8. Let l be n(t). Find the third derivative of 2*z**3 - 15*z + 15*z + z**l wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8080807, -8080727, -8080647, -8080567, -8080487, -8080407?\nAnswer: -8080327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1\/116 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 3. Let u be o(13). Suppose 594 = 13*z - u*z. What is the greatest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let b(t) = 3*t + 1. Let w(v) = b(v) - 4*h(v). Let d(j) = -28*j**2 + 16*j + 4. Let u(y) = d(y) + 16*w(y). Find the first derivative of u(p) wrt p.\nAnswer: -56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 5*c - 2*c + 3*c + 6 + 2*c**2. Is 9 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 + 8*a + 1. Let p(s) = -15*s**2 + 18*s + 3. Let r(q) = -4*q**3 + 3*q**2 + q. Let x be r(-1). Let n(w) = x*p(w) - 13*f(w). What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 + 136. Let h = 0.5 + -0.516. Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 13.9. Let w be 9\/(-5) - 1\/5. What is the third biggest value in -2\/13, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -0.3. Let w = 6.1 + -4.9. Let a = w + h. What is the smallest value in 17, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3224, 3285, 3388, 3533, 3720, 3949, 4220?\n\"Answer: 21*h**2 - 2*h + 3205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*s - 17, 19 = 5*s - s + 3*m. Suppose -2*y = -0*y + 4*r - 24, -2*y - r = -9. Let i = -9 + 5. Sort y, i, s in increasing order.\nAnswer: i, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 8*a**2 + 6*a - 2. Let q = 215 - 208. Determine g(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46.4336244 + -8.4\nAnswer: -54.8336244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.71 + -272.29. Let x = h - -281.03. Let p = -0.03 + x. Put -2\/17, p, 3\/2 in decreasing order.\nAnswer: p, 3\/2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21518514?\nAnswer: 2, 3, 398491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/16881 and -93\/22508?\nAnswer: 67524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250581.\nAnswer: 337, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 9 = -31 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/120 + p**5\/10 + p**2\/2 - 3. Let y(i) be the second derivative of k(i). What is the third derivative of y(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 0*x**3 - x**3 - 2*x - 2 - 2*x. Let b be y(-2). What is the units digit of ((-14)\/b + -3)*-27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*l**2 + l**3 + 258 - 200*l**2 + 34*l**2.\nAnswer: l**3 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -962298*d**2*t**2 + 2*d*t**2 - 123292*t**2 - 76*t - 2 wrt d.\nAnswer: -1924596*d*t**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 401189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/7457358 and -26\/15.\nAnswer: 37286790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5326 is divided by 381.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.08 + -18.28. What is the nearest to 0.7 in 5, -5, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10266 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 6\/1108205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2715 and 16545?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 2*x + 5. Suppose 0*h + 3*h = 9. Let o(w) = -3*w**2 - 4*w + 9. Suppose q - k + 4 = 0, -q - 1 = 5*k + 9. Give h*o(f) + q*c(f).\nAnswer: f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a + 4*a**5 + (a**5 + 0*a**5 + a**5)*(-1 + 0 + 3) - 87*a**5 + 168*a**5 + 535*a**5.\nAnswer: 624*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127 + b24?\nAnswer: c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94824 and 72.\nAnswer: 94824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muzfmmmufumrumr. Give prob of picking 1 m, 1 f, and 1 z.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 99. Let z(u) = -2*u - 2 - u**2 + 6*u**2 - u**x - 5*u**2. What is z(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let p(v) = v**3 - 5*v**2 - 13. Let b be p(5). Is 1*j*4927\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62654 is divided by 1378?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 181 = 41*w. Let t be 30\/2730 - w\/(-35). Let f = -3 - -2.5. Which is the second smallest value? (a) t (b) 5 (c) f (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 3*q**3 - 5*q**3 + 7*q**3 + 2 + 2*q**3 + 3*q**2. Calculate d(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149, 124, 99?\n\"Answer: -25*o + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1653549014 rounded to the nearest one hundred thousand?\nAnswer: -1653500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*m**3 + 13285*m + 2 - 13274*m + 151*m**3 to the form k*m**2 + o + d*m**3 + v*m and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3244371 - -0.3243. What is h rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -37.\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1, 2\/3, -0.4, -9, 0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33122312 (base 4) in base 10?\nAnswer: -63158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 595.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*666\/660 - (-5 - -10). Let w be 10\/4 - (-24)\/(-12). Which is the closest to -0.1? (a) g (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204962 is divided by 1753.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5077 divided by -24?\nAnswer: 5077\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548532353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 68. Let v be x(7). Let m = 65 + v. Solve -3*q = 4*b + 22, -2*b + m*q = -3*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 13 = -4*f + 3*x, 5*x = -25. Which is the biggest value? (a) f (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - i)*(6 - 6 - i) + 27*i**2 - i**2 + 12*i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/(-45))\/(1\/(-100)). What is the units digit of 126*(1\/(-8))\/((-10)\/q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22316 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482149605 to the nearest integer?\nAnswer: 21958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -23, -0.074 in decreasing order.\nAnswer: -0.074, -0.5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 335750793*m**4 - 1276*m**2 - 66674 wrt m.\nAnswer: 8058019032*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 3*b - 2*i, -3*i + 69 = -2*b - 6*i. Is b\/12*16\/(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 21*n - 1. Suppose 0 = 4*o + 5*u - 16, o + 5*u + 0*u - 4 = 0. Let k(t) = -t**3 + 5*t**2 + t - 4. Let r be k(o). Is a(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 2*h**2 - 4*h + 1. Give x(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240158 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26287 and 1746?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 4*o**2 - 5*o**2)*(83*o - 50*o + 78*o) + 6*o - 6*o + 6*o**3.\nAnswer: 228*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*x + 9. Suppose 46 + 194 = x*a. Suppose -2*q + 12 = -a. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -288.8478884 to one dp.\nAnswer: -288.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66510*k**4 - 63*k**3 + 2*k + 17669370?\nAnswer: 798120*k**2 - 378*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 2:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1768851, 3537703, 5306555?\n\"Answer: 1768852*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 62858 times 4\nAnswer: 251432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -3*c + 6, 7*u + 756*c + 8 = 760*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.4? (a) -0.2 (b) -0.5 (c) -10 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)*g**(-21))\/((g*g**(11\/3))\/(((g\/(g\/((g**(-12)\/g)\/g)))\/g)\/g*g)) assuming g is positive.\nAnswer: g**(-487\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.062, 2, 6\/13, 1, 4, 8?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -1.2. Let n = 1\/6 - 1\/2. Which is the biggest value? (a) d (b) -3\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 2537241?\nAnswer: 2537241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5933*g - 15114*g - 10780*g - 11191*g.\nAnswer: -31152*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -3*n**5\/10 - 33*n**4\/8 - 27*n**3\/2 - 75*n**2\/4 - 12*n + 57. Suppose y(h) = 0. Calculate h.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, u: 2, p: 2, m: 1, b: 1, j: 1}. What is prob of picking 1 u and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 46 = -69. Suppose -y = -5*v - 2*a, v - a - 16 = -2*v. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:13 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 979251 and 150654?\nAnswer: 1958502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 20*v - 271. Solve -2 = -u, -8*l + u = -13*l - v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/6*(-12)\/8. Suppose -v*z + 3*z = -n + 6, -2*n = -2*z + 4. Suppose n = -2*k, 5*m + 2*k = -3 + 16. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*x + 7. Suppose -4*s = 4*y + 21 - 5, 2*y + 16 = -4*s. Let d = x + s. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805361 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 the third derivative of 747*n**2*p**4 + 2*n**2*p**3 - 815*n**2*p**2 - 21*n**2*p - 2*n**2 + 6*p**4 wrt p.\nAnswer: 17928*n**2*p + 12*n**2 + 144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 - 3*u**2 + 7*u**2)*(-2 - 1 + 1)*(-u + 43*u + 19*u)*(1 - 1 - 4*u).\nAnswer: 488*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, 10, 5, -4 in descending order.\nAnswer: 50, 10, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -14*l**2 + 8*l - 11. Suppose 5 = v - 2*c - 7, 5*v + 5*c = 15. Let r(z) = -5*z**2 + 3*z - 4. Let n(p) = v*h(p) - 17*r(p). What is f in n(f) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h*h)\/h*h\/(h\/(h**(-3\/4)\/h)*h)*h**(2\/7)*h**(-6\/7)\/h)**(-40) assuming h is positive.\nAnswer: h**(1210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -406, -1012, 8 in descending order.\nAnswer: 8, 3, 2, -406, -1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-111)\/(-2))\/(2\/(-36)). Let p = -508 - q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 9, 88, 3, 75, 5 in ascending order.\nAnswer: -4, 2, 3, 5, 9, 75, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20 (b) 0.2086 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 2*a - 4*a)*(19 + 9 + 14).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -612 (base 9) to base 10.\nAnswer: -497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -155.189849 to 2 decimal places.\nAnswer: -155.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-665 + 95*a + 665)*(15*a - 2*a + a).\nAnswer: 1330*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 588 divide 308723520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 21. Let s(d) = -6*d. Let n(v) = v. Let y(z) = o*n(z) - 3*s(z). Let m(x) = x. Give y(m(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1680*o**2 + 4. Let t(f) = -875283*f**2 - 2085. What is -2085*d(r) - 4*t(r)?\nAnswer: -1668*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 18. Let x = -59 + 69. Let z be l(x). Put z, -7, 3, 2 in decreasing order.\nAnswer: 3, 2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25871.57 + 26258. Let q = x - -18.37. Round q to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = w - 0*w. Let v = 848 - w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**5\/4 - 808*f**4 - 853075*f**3\/4 + 4689845*f**2\/2 - 6129248*f + 3107328 = 0.\nAnswer: -544, 2\/3, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/3)\/3)\/((-1)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57992542 and 3145?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -302221200 + -4?\nAnswer: -302221204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 7*u**2 + 6*u + 7. Suppose 0 = -3*j + 44 - 8. Suppose 3*k = j + 6. Is l(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21021110010110 (base 3) to base 10\nAnswer: -3866709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 46e (base 16) to base 9\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 35*p = -39*p - 14, 5*p + 35 = -3*d. Does -410\/37 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 279 = -204. Suppose 0 = 3*m - r - 0. Let z = m - -58. Calculate the greatest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -955 (base 12) to base 10\nAnswer: -1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**5\/30 - 5*k**4\/8 + 11*k**3\/3 - 29*k**2\/3 + 12*k + 63. Factor v(x).\nAnswer: (x - 9)*(x - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500440 (base 6) in base 16?\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-63) + ((-150)\/35)\/(-10)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7446953 (base 10) to base 9\nAnswer: -15010262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 2:01 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940623815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + 2 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33102.6 hours?\nAnswer: 1986156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110992 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -506.1406449 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5929 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 15 = 0, -38 = -2*h + 2*l + 14. Let c = h - 18. What is the highest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 854 - 854. Let w(i) be the third derivative of 0*i + 1\/22*i**4 - 3\/11*i**3 + c - 1\/330*i**5 - 7*i**2. Let w(q) = 0. What is q?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*n**4 + 220*n**4 - 126*n**4 + (-n + 2*n**2 + n)*(n**2 - 3*n**2 + n**2).\nAnswer: -70*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 170185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16215774*m + 16215773*m = -2*u + 7, 2*u - 5 = 3*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let p(j) = 13023041*j. Determine p(y(v)).\nAnswer: 13023041*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 35*n**3 + 2*n**2 - 2*n + 1. Let j be f(1). Let v be (39\/(-9))\/(1\/j). Let p be 4\/10 + v\/(-10). What is the highest common divisor of 24 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30753649 and 574.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.31 - -0.01. Let h = -8.2 - -16. Let q = h + -15.8. Sort q, -0.2, b.\nAnswer: q, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:55 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + sqrt(76) + 5*2*sqrt(76)))*-4)\/(-2*sqrt(16)\/sqrt(4) - sqrt(20)\/(-2*sqrt(5))).\nAnswer: -88*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 2:33 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 1*(sqrt(468) - 5*sqrt(468)*5) + -4)**2.\nAnswer: -808707 - 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1 + 8*g - 9*g + 1 - 2*g**2 + 3. Let l(u) = 4*u**3 + 2*u**2 - 1. Let w be l(-1). Calculate n(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 21 + (0 - 20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*l**2 - 3 + 4 - 26*l**2 - 841*l.\nAnswer: 23*l**2 - 841*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 - 80 - 27 - (-78 - 7).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 + -1 + (24 - (9 + 15 + -24))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0770676 rounded to 4 decimal places?\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8013*p**2 - 9820096 + 9820096 in the form f*p + j + l*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11178.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 56 + 26. Let j(k) = k**3 + 13*k**2 + 30*k + 3. Let v be j(o). Put -0.01, v, 0.1 in increasing order.\nAnswer: -0.01, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 3140 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 5:11 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 5, x: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(39)*-2*3)\/(sqrt(30)\/(sqrt(10) + sqrt(10)*-2)*-6).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.3 + -27. What is the second biggest value in -1, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 2*c + 20. Let o be i(-5). Suppose m = -o*u + 6, 3*m - u = -m + 24. Suppose -4*t + y + 2953 = 0, m = t + 5*y - 706. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3584) + 1*sqrt(3584))\/sqrt(8))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Let u be ((-1)\/(-11) - 36\/198)*2. Put f, 1\/2, u in increasing order.\nAnswer: u, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9169875.\nAnswer: 3, 5, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + i - 1. Let a be z(-2). Let k be a - (2 + -2 - 2). Let -5*w**k - w**4 + 0*w - w - 3*w**2 + 0*w + 2*w**3 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - p = -3*p - 2680, -3*x + p = -4012. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 21. Let m be r(-8). Suppose -2*b - 2*h = h - 29, -h - 38 = -3*b. Let t = m + b. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -24 - (-4 - (-2 - 1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*q**3 + 0*q**2 + 11*q**3 + 0*q**2 + 126*q**3.\nAnswer: 89*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 + 0*w**3 + 0*w**3)*(-1 + w**2 + 1) - 2*w**5 - 208*w + 208*w - 163*w**4 - 35*w**5 + 163*w**4 - 2*w**5 + 0*w**3 + 0*w**3.\nAnswer: -38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33432 by -597.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 190428617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3125 = -323. Let u = f - -1302. Let r = 4199\/2 + u. What is the common denominator of r and 29\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 512 = -3*l, -4*l = -2*k - 3*l + 528. Suppose -y + d + 89 = -d, -3*y + k = -5*d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450493*g - 450493*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 + 88538*k + 2.\nAnswer: 88538*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*t = 3 - 7, 0 = 3*r + 2*t - 16. Solve 2*v + 7 = -u, -r*u + 7*u - 1 = 2*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10090784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*r - 3. What is the least common multiple of 7 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105a (base 13) to base 6.\nAnswer: -14304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2382.0264 - -0.186887\nAnswer: 2382.213287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 28 = 2*i. Let t = 197 - 169. Suppose -k + 83 + t = 0. Calculate the remainder when k is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -605, -4, 1\/3, 3\/2, 7\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11*68\/(-374))\/((-34)\/(-2)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4.1. Let t = 0.7 + -0.8. Which is the nearest to t? (a) 3 (b) h (c) -4 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-6))\/((-2275)\/(-1300)))\/(-19*12\/(-1938))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - -780. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3*21\/(21\/3). Let d(i) = -8*i**3 - 8. Let a(h) = -h**3 - 1. What is x*d(q) - 10*a(q)?\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -1255832*h**2 + 16*h + 199. Let m be n(-6). What is m rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*k = -0 - 2, -5*n = -5*k - 20. Let p(z) be the second derivative of 1\/54*z**4 + 2\/27*z**3 + 0*z**2 + 0 - n*z. Find j such that p(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217388707 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*0\/82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5784)\/607320)\/((-2)\/90)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 - -6.01. Let v = 6.3 - i. Let h be 4 + ((-105)\/56 - 2). Sort 0.1, v, h in ascending order.\nAnswer: 0.1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Let f be v(1). Solve -2*q = q + f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, f: 1, x: 3, i: 5}. Give prob of sequence ni.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 12*x**2 - x - 231. Let i be t(9). Sort i, -200, 2, -1, -2 in ascending order.\nAnswer: -200, -2, -1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 838618298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - j - 3*j + (0*j + 0*j + 2*j)*(-2 - 2 + 2))*(-3*j + 0*j + 2*j) + 492*j**2 - 617*j**2 + 2 + 730*j**2 in the form w*j + z*j**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 - 1204*f - 4893. Give k(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 490902 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 410*i = -415*i - 15, 4*h + 6 = -3*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 9*u - 6. Suppose -30 = 5*w + 5*n, 4*n = -2*w - 3 - 7. What is h(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 10:51 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154239 divided by 154239?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 39161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -26. Put -2, -4, k, 0 in decreasing order.\nAnswer: 0, -2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, y: 3, r: 1, d: 6}. What is prob of picking 2 d and 2 y?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 49 + 23 = 0. Suppose 0 = l + 2*l - g. Is (-525)\/(-4) - 3\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + 0 + -4 - sqrt(128) - sqrt(128)) - (3*sqrt(128) + -2)) + -2 + 5*sqrt(128)*2*-4)**2.\nAnswer: -2624*sqrt(2) + 215184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 33 = -3. Suppose -7*b + b = -m. What is the second derivative of 0*c**3 + b*c + 8*c**3 - 8*c wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -14 - 46. Let u = 10 + t. Which is the closest to -0.1? (a) u (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -261062 < 2\/373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-510 + 517)*(30\/(-7) + 1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 4*p**2 - 19. Let j(y) = y**3 - y**2 + 1. Let c(z) = 47*z - 2680. Let m be c(57). Determine m*q(b) - 4*j(b).\nAnswer: b**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(112)*5 + 1)*1.\nAnswer: -80*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 9*q**2 - 51*q - 15. Give m(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15696719 is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 8117, 5 in decreasing order.\nAnswer: 8117, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/4)\/((-1)\/2). Suppose m = -2*m + r, -4*r = -5*m + 7. Let x = y - m. Calculate the remainder when 45 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyss when four letters picked without replacement from {s: 3, y: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + p**2 + 2*p. Let i = -81 - -91. Let c(a) = 75*a**3 - 90*a**2 + 10*a. Let m(v) = i*k(v) - 2*c(v). What is the third derivative of m(d) wrt d?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/90 - n**5\/5 + 3*n**4\/2 - 13*n**3\/6 + 5*n. Let i(z) be the second derivative of t(z). Factor i(q).\nAnswer: 4*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-1*2 - sqrt(153))**2 + (4 + sqrt(1377)*-2)**2.\nAnswer: -144*sqrt(17) + 6901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (5 - -9) + 14 - (-29 - 8).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + 3*m)*(-211*m + 256*m + 202*m + 291*m).\nAnswer: 538*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 44 - 55 = z, -2*z = -5*m - 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 3*s**2 - s + 1. Let n(t) = -t - 16. Let o be n(-13). Let h be (-2)\/(1*(-2)\/o). Calculate the least common multiple of 1 and l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1388503166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:36 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**8*b*b*b**17 assuming b is positive.\nAnswer: b**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12011 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-154)\/8)\/11)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-1)\/54)\/((-2)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*k + 4366*k + 232*k.\nAnswer: 4187*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/33 + (-39)\/(-759). Let z be 3*7\/(-21) - (3 + -5). Which is the closest to 0.1? (a) h (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 78807?\nAnswer: 551649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12078968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/10 + 0\/(-1). Suppose 6*z + 17 = 2*j + b*z, 20 = 2*j - 4*z. Let u(w) = -7*w + 6 - 5 - 4. Let x(n) = 11*n + 5. Give j*u(m) + 5*x(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -7. What is the nearest to -0.2 in n, 3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27 + (-48 + -6)\/(-6). Find the third derivative of -24*q**3 - 115*q**2 + x*q**6 - 235*q**6 + 48*q**3 - 24*q**3 wrt q.\nAnswer: -23880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*f = 54, 3*q - 49 = 5*f + 31. What is the remainder when 79 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16*x**3 - 12. Let f(g) = g**3. Let s(l) = 3*f(l) - q(l). Differentiate s(i) with respect to i.\nAnswer: -39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -8*m**7\/21 + 29*m**5\/20 - 11*m**4\/12 - 19*m**3\/6 - 114*m + 6. What is the third derivative of k(a) wrt a?\nAnswer: -960*a**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 7*p**2 - 2*p - 3. Let a(k) = -k**3 - k**2 + 1. Let w(o) = -6*a(o) - 2*j(o). Let d(z) = 4*z**3 - 17*z**2 + 9*z. What is -6*d(x) + 13*w(x)?\nAnswer: 2*x**3 - 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/65, 0.2, -0.3, -10, -23, 0?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 2*y**2 - y**4 + (-3 + 3 - 2*y)*(4*y - 4*y + y**3) + y**2 - y**4 - y**2 + y**3 + 1 - 5*y**4 - 9*y**2 + 11*y**2 - 3.\nAnswer: -9*y**4 + y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x - 54. Determine p(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 76*y - 1290. Let r be d(17). Which is the smallest value? (a) r (b) 2\/19 (c) -370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1938, 15442, 52094, 123468, 241138, 416678, 661662, 987664?\nAnswer: 1406258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*t**5\/7 - 656*t**4\/7 - 2476*t**3\/7 - 3672*t**2\/7 - 1664*t\/7 + 128\/7 = 0. Calculate t.\nAnswer: -4, -2, -1, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -62) + 1027 + -1059.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 15*u + 7. Let k(a) = -4*a**2 - 52*a - 21. Let n(r) = -7*c(r) - 2*k(r). Determine n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 6*s + 6*s - 4*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1))\/h*h*h\/((h*h*h**(-1)*h)\/h))**11*(h**0*h\/(h**(1\/6)\/h)*h*h)**4 assuming h is positive.\nAnswer: h**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1488\/(-60))\/((-4)\/50). Suppose -2*u + i = -3*q + 1222, 1520 = 5*q - u. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**4 + 2*l**3 - 1445*l - 36889 wrt l?\nAnswer: 12*l**3 + 6*l**2 - 1445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**32)**(2\/27) assuming b is positive.\nAnswer: b**(16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 7) to base 16\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 + (-49290)\/960)*-32.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43.133 - -43.7. Let z = l - 1.567. Which is the second biggest value? (a) z (b) 2\/11 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + -1)*1. Let d be (13 - 11) + g*10. Suppose -2*l - 4*a = -d, 3*l - 3*a - 21 = 2*l. Solve 0 = 6*f - 2*f + l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/2? (a) -13\/5 (b) 2 (c) 6 (d) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + 2*(sqrt(2) - (sqrt(2) + (-3 + sqrt(2) + 1)**2) - (sqrt(60)\/sqrt(3) - sqrt(20))\/sqrt(10)) + -5)*6.\nAnswer: -570 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 + 5 + -2. Let b = g - -2. Suppose n + 1259991 = 3*o + 4*n, 1260009 = b*o - 3*n. What is o rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 2}. What is prob of picking 1 x and 3 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6851 + -6456. Calculate the greatest common factor of x and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22694*l**4*x + 3*l**2*x**3 - 170*l*x**3 + 2*l*x - 32 wrt l?\nAnswer: 272328*l**2*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaudsqw. What is prob of picking 1 s and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.085? (a) -18 (b) 2\/13 (c) 268 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -42?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**2\/2 - k - 95. Let p(d) = 3*d + 2. Calculate 4*l(t) + p(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21004 + 126716.\nAnswer: 105712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Suppose -42 - o = -5*t. Suppose 0 = 6*g - t*g + 8. Which is the smallest value? (a) g (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15113879 <= -15113890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0 + 20. Suppose 4*s - 3*p = 6, -4*p = l*s - 0*p + 8. Suppose s = 2*q - f - 68, -7*q + f + 164 = -2*q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(68) + 2*sqrt(68) + sqrt(68)))\/sqrt(4).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1\/5, 2308, 3\/7 in decreasing order.\nAnswer: 2308, 3\/7, 1\/5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1330, 1180, 760, -68, -1442, -3500?\nAnswer: -6380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 - 77. Solve 0 = 12*i - g*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -42\/13 (b) 5 (c) 2\/491 (d) -2 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000178332847 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 374\/(-4290) + (-6 - (-2560)\/416)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5. Let u(a) = -a + 3. Let f(s) = -5 + 0*s + 4 + s + 0. Let b(x) = v*u(x) + 3*f(x). Let n(d) = -2*d. Give n(b(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzaaranaaanrabnaaaa. What is prob of picking 2 a and 1 n?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13744700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*v = -5*v + 34, 0 = -4*w - 4*v + 56. Solve 18 = w*q - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 4, s: 1, q: 2, d: 1, t: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 37 + -23 - (1 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/4 - 12*q**2 + 3483*q\/4.\nAnswer: -3*q*(q - 27)*(q + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 2\/571 (c) 0.02 (d) -0.06 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.59300062 + -0.992527\nAnswer: -0.39952638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 384*w + 3296. Let z be v(-9). Suppose 4*s + 1 = 2*s + 5*f, 8 = 3*s + 2*f. Solve 0 = -3*i - z*t + 10, -s*i + 5*t - 25 = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = j - 10, 0 = s - 4. Let l(v) = v**2 - 4*v - 2. Let a be l(6). Let m = a + j. Solve 0*z - 4*z - 3*t = -7, 4*z = -4*t + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 135, -5, 3, 444 in descending order.\nAnswer: 444, 135, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/903 (c) 2\/66791 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/13)))**(27\/5)\/(c**0*c\/(c\/c**10*c)) assuming c is positive.\nAnswer: c**(-531\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 90.76292ug?\nAnswer: 0.00000000009076292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m + 4. Let h(p) = 51*p + 15. Determine -4*h(b) + 15*v(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333791.\nAnswer: 333791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 4. Let n be g(-7). What is the derivative of 5*p**n - 3 + 0*p**3 + 4 wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 divided by -3.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4276470)\/(-60)*78\/143?\nAnswer: 3, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + (-7)\/(-3). Suppose -4*i - 8 = 2*c, 0*i = i + 2*c + x. Calculate the remainder when (i - 1)*(-287)\/21 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 218332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -88. Calculate the highest common divisor of 99 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736494312?\nAnswer: 2, 3, 30687263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/175 and -99\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 4, b: 1, o: 2, z: 3}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*m - 4, 3*c - 2*m + 3 - 1 = 0. Solve -3 + 11*f + f**2 - 3 - 4*f**2 + 0*f**c = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42456 divided by 6?\nAnswer: -7076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w + 3*c = 190, c - 180 = -5*w. Let a = w + -21. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4021*u + 1. Let t(a) = -5*a**2 - 10*a. What is i(t(l))?\nAnswer: -20105*l**2 - 40210*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11326 or 3?\nAnswer: 11326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u. Let r be (-95)\/(-57)*(-1)\/(-20). Let j(m) be the third derivative of 0 + 0*m + 0*m**3 + 2*m**2 - r*m**4. Give z(j(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 9*d**2 + 9*d + 10. Let k be z(10). Suppose -2*v + k*v = -3440. Let n = v - 24099\/14. Find the common denominator of n and -85\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/39537 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 0.4, -9, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1584 divided by -528.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + 13.11. Let j = r + -12.8. Is 2\/9 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99c9 (base 16) to base 3\nAnswer: 2000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 10*q**2 - 14*q + 48. Determine p(11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 48\/5 of a century?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 21 = c, 65 = 4*c - 0*c + q. Suppose 3*n + 20 = -n, 2*o - c = 2*n. Find the third derivative of w**2 + 2*w**3 + 3*w - o*w + w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 22 - 26 = 0. Let g = v - 9. Suppose 9*u - 104 = g*u. Calculate the highest common divisor of 78 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = o + 4*f + 5, -o + 18 = 3*f. Suppose o*l = -2*l + 185. Calculate the remainder when l is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -546*s + 551*s - 5*w, -3*s + 5*w = -32 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Let q = -0.6 + r. Let m = -42 - -44. Which is the smallest value? (a) -0.1 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-390)\/78 + (6418 - 0)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight sevenths of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*u. Let d = 1 - u. Let c be (15 - (2 + -1)) + d. What is the greatest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 7 + 9 = -2*m, -26 = 4*m + 3*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336777265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68 - 75) + 1 + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p = 49*p - 8 - 10. Put 194, 3, p in descending order.\nAnswer: 194, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78413742?\nAnswer: 2, 3, 11, 396029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18976726183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23388782 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26670116.7 microseconds?\nAnswer: 0.00030868190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven quarters of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-35)*-2*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 2742849?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88775 is divided by 88748.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(2)*-3 - (sqrt(21) - (sqrt(21) - 5*sqrt(189))))\/(4*sqrt(243)*2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 18*g**2. Let z(l) be the second derivative of 0 - 1\/24*l**4 + 3*l**2 + 13*l + 0*l**3. Let i(d) be the first derivative of z(d). Determine j(i(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 3*d**2 - 2*d - 4. Let z be r(-3). What is the closest to 0.2 in z, -2, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 5, 1, -4, 64.\nAnswer: -4, -3, 1, 2, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -15. Suppose 6 = -n*w + 3. Let o(y) = -2*y**2 + 6*y**2 - 1 - y - y. Give o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8 - 3*b**2 - b - 2*b**2 - b**3 + 6*b. What is the tens digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z + 0*z**2 + 1\/12*z**4 + 0*z**3 + 0. Let o(s) = -5*s**2. Give l(o(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 9*n - 5\/2*n**2 + 2*n**3 + 0. Differentiate q(k) with respect to k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let q be w(2). Find the second derivative of -y - 3*y - 6*y**2 + 3*y**q + 3*y wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -246. Suppose a + 4*n = 64, -4*a + 6*n = 2*n - o. Suppose -a - 33 = -b. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19)\/(-114) - (-668)\/24. Calculate the highest common factor of g and 1484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3169.4 + 3169. What is the smallest value in y, -0.5, 48, -2\/43?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93931?\nAnswer: 29, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -730, -614, -388, -16, 538, 1310?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - -7) + (87 - 79).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304130212 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 7*t**2 - 9*t - 5. Give b(-7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 233\/4 - 2579\/44. Find the common denominator of r and -53\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + h + 2*h - 2*h + 4*h - 5*h + 0*h + (-2*h - 3*h + 4*h)*(-2 + 0 + 0) + 2 + 2*h - 2 + 3*h - 3*h + 2*h.\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001210012112 + -20?\nAnswer: 1001210012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m**2 - 275*m - 535. Give u(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + 381. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 78 = 4*c. Suppose 2*a + 2*a - 20 = -h, 2*h - 5*a + 25 = 0. Suppose -20*d + 19*d + 103 = h. Calculate the remainder when d is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, 2\/9, -1\/16, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 - 6*d**2 - 11*d - 3. Let q(l) = 10*l**3 - 10*l**2 - 22*l - 5. Determine -5*k(u) + 3*q(u).\nAnswer: 5*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355648546?\nAnswer: 2, 11, 16165843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {u: 1, f: 3, s: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 230353*g + 3*g**2 + 230353*g + g**2 - 5*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 124 + 124. Let l = 2769 - 2773. What is the biggest value in 4, b, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 10*d + 32. Suppose 4*v - 16 = 0, 2*t - 45 = -4*v - 15. Suppose -t = -s + 4*w, -2*w + 4 = 2*s + 10. Is s less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1076907 and 161510?\nAnswer: 333841170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2414*j - 4776*j + 2392*j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10578608?\nAnswer: 2, 113, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 19*a**2 + 9*a - 178. What is the units digit of h(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p. Suppose p - 2 = -2*d. Let u(b) = 3*b. Let r be u(d). Put 0.2, r, -4 in descending order.\nAnswer: r, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, -n + b = -b + 4. Let a(g) = -16*g**2 - 75*g + 33. Let s be a(-5). Solve -v - s + 3 = n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 12:24 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1364 + 1365. Suppose -3*l = -6*l - 6. Put 5, 3, m, l in ascending order.\nAnswer: l, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6347.\nAnswer: 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -182.42249644.\nAnswer: 182.22249644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 43*s**8\/48 + 238*s**5\/15 - 3*s**2 - 126. What is the third derivative of x(d) wrt d?\nAnswer: 18060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -32*w - 3. Let x be g(-4). Suppose 4*n = -37 + x. Suppose -n = -2*a - 8. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/231 and 39\/10780.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 802951 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23388780 or -23388777?\nAnswer: -23388780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2. Let n(s) = 9*s**2 + 6*s + 5. Let z(v) = n(v) - 5*u(v). Let l(a) = a**2 - a - 1. Determine 4*l(k) + z(k).\nAnswer: 8*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4830046?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjjjjqxjjxx. Give prob of picking 1 q and 3 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9777088 is divided by 362114?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157749982.7 + -0.03?\nAnswer: 1157749982.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 79\/2 of a millisecond?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/(-8) + 22\/(3344\/57). Suppose 4194 = 4*i - 34. Suppose 53 = -a*s + i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 divided by 2\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5376 and 228?\nAnswer: 102144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0*x - x)*(21*x + 36*x - 3*x).\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b5ba2 (base 12) to base 7.\nAnswer: 64304531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12\/7 (b) -36 (c) -1 (d) -4387 (e) 2\/3 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137360 = 1303*r + 1236*r + 895*r for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose -n*p = -4 + 2. Let q be (-3)\/(-10)*(-15)\/6. Which is the third biggest value? (a) -0.2 (b) p (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 2*u + 1. Let b be n(2). Let l = 9 + b. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206000 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -45*f - 87. Let b be j(-2). Let w(k) = 15*k**2 - 47*k + 6. Let a be w(b). Solve g - 2*z + 7 = a, -11 = 5*g + z + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*1)\/(224\/(-28)))\/((-1748)\/912)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420911 is divided by 473.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 + 0)*(2 + 4 - 4) - 2 + 0 - 1)*(2*t - 3*t + 2*t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 4*b - 19, 3*b - 9 - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 2. Let l be t(8). Which is greater: -41 or l?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-609))\/(6\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 797852*d**3 - 72*d - 2582.\nAnswer: 4787112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36784 and 16.\nAnswer: 36784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, -67, 4, 5.\nAnswer: -67, -3, 4, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 15. What is j(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 174*s**2 + 14*s - 347. Is i(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 96.94854 millennia?\nAnswer: 9694.854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqp when three letters picked without replacement from {w: 2, k: 1, b: 2, m: 1, q: 1, p: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127971308.\nAnswer: 2, 17, 19, 37, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 319*l - 1. Let g(v) = -1130*v. What is q(g(a))?\nAnswer: -360470*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184*j**3*s - 2*j**3 + 7*j*s**2 - j - 6*s**2 + 13*s - 19960 wrt s?\nAnswer: 184*j**3 + 14*j*s - 12*s + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/24828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 114\/76*14\/3. Suppose u*d - 5*d + 3*w + 1 = 0, 5*w - 3 = -4*d. Solve -16*o = -d*o - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*k + 70, 2*k - 73 - 12 = -3*g. Let q be (-4)\/2*(g - -2). Let o be (-2)\/q*(-15)\/(-5). Is o < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273325)\/33640*8\/(-30).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:25 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 4335*g + 4330.\nAnswer: 5*(g + 1)*(g + 866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2139.2605251 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2 - (5 + -5))*-8. Suppose -9*f + 2915 = -u*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - -40. Suppose -g + 2 = -4*s. What is the highest common factor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(152*y + 79*y - 118*y)*(-33*y - 46*y + y) as r*y + v + c*y**2 and give c.\nAnswer: 17628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 1, z: 7, f: 5}. Give prob of picking 2 f and 2 z.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w\/((w*(w*w**(3\/7))\/w*w)\/w)*w)))\/w)**12*w**(-2\/11)\/w*((w*w*w\/(w\/(w*w*w*w**5)))\/w)\/w assuming w is positive.\nAnswer: w**(1053\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.1 + 29.8. Suppose -3*x + x = 0. Suppose 0 = -0*q - q - 2, x = -4*b + 3*q - 2. What is the closest to 0.1 in b, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -967 + 969. Let o(d) be the third derivative of -7\/24*d**4 + 0*d**3 + 0 + 1\/30*d**5 + 0*d - 3*d**q. What is the second derivative of o(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 + 8616407*v - 8616407*v.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69183.\nAnswer: 3, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50995 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56*31*4\/(-992).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let z(u) = -u - 8. Let c(s) = 4*q(s) - 2*z(s). Let b be c(8). Solve -b*o + 0*o = -16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 - 6*f**4 + 23 + (f**2 - 6 + 4 + 1)*(7 - f**2 - 5 - 2*f**2).\nAnswer: -9*f**4 + 5*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3966*c**2 + 1981*c**2 - 10*c**3 + 1985*c**2 - c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 6*w - 5, 102 = -3*s + 3*w. Let t be ((-6)\/(-15))\/((-1)\/s). Let c = t - 1. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 times -531869?\nAnswer: -31380271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.3 - -11. Let z = 0.4 - y. Suppose f - 4*b = -1, -3*f + 6*f + 4*b = -19. Put -3\/2, f, z in ascending order.\nAnswer: f, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*r - 33*r - 1980 = 30*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 12:23 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 7386.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*h = -o + 14, 4*o - 4*h = 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -22.\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 108 = 2*f. Suppose 6*a - f = 2*a + 3*q, 14 = 3*a + q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 1. Let m = 7 + -6. Let x be (2 - -1)\/(5 - 48\/8). Let w(c) = c + 1. What is m*w(v) + x*u(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -297 in 0.36, -55, -2?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 69 + 18 - 75.\nAnswer: l**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -117.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + w = -4*w - 11, -k + w = 5. Let h(m) = -114*m - 8. Let a be h(k). Suppose -4*n + a = -2*n + 3*x, -351 = -n + 5*x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.03 less than 0.310507?\nAnswer: -35.719493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*n + 1 + (-3 + 1 + 4)*(2*n + 3*n - 3*n) + 2*n - 3*n + 0*n + 5 - 5 + n + 1 - 259*n + 274*n + 2 - n + 5*n - 2*n + (-4*n + 4*n + 2*n)*(-2 - 1 + 4).\nAnswer: 21*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -568584732*g**3 + 21748*g + 1837?\nAnswer: -3411508392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by -3*34*(-4)\/24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Let u = -78.6 + 79.1. What is the third smallest value in 6, -1, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(sqrt(4320) - (sqrt(4320) - (sqrt(4320)*2 + sqrt(4320)))))\/(5*(sqrt(1210)*2 - sqrt(1210)) + (sqrt(1210) + -2*sqrt(1210))*-1).\nAnswer: -60*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3492 (b) -6 (c) -2\/9 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2695, -1193, -7663, -16709, -28325, -42505, -59243, -78533?\n\"Answer: i**3 - 1297*i**2 - 4*i + 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(22) - (-5*sqrt(88)\/sqrt(4) + sqrt(22) + sqrt(22)))\/sqrt(11) + -1*((1*sqrt(98)*1)**2 + sqrt(98)).\nAnswer: -93 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.596 (b) -4\/3 (c) -288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from jefjyyydyddjjjj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g + 11. Let c be h(1). Solve 3*b + 8 = -c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:26 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -318 * 1178\nAnswer: -374604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**10\/151200 + z**9\/7560 - z**8\/1260 + z**5\/2 - 9*z**2 + 1. Let s(y) be the third derivative of c(y). Factor s(o).\nAnswer: -o**2*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iicaciiicciicccci.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1198300 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 4093318?\nAnswer: 4093323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 - 280.610010955.\nAnswer: -257.610010955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 9 - 9 + r. Let u(t) = -2*t**3 + 3*t. Calculate 3*a(o) - u(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a9a - 124?\nAnswer: 6976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2021, -0.4, 1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.9 or 2\/15?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {s: 8, m: 5, q: 1, x: 3, w: 2}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -76926 divided by -219?\nAnswer: 25642\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11440118267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.035922 equal to -0.021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 2. Let c be v(6). Suppose -c = -b + 1. Let h = 15 - b. Solve 5*m - 9 - h = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, n: 6, l: 2}. Give prob of picking 1 z and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8079 + 8075. Sort -22, f, -10 in ascending order.\nAnswer: -22, -10, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5 + 178*f**4 + 5814*f**3 + 83286*f**2 + 482112*f + 839808 = 0. What is f?\nAnswer: -27, -24, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 - -40. Let z be ((0 - h)*1)\/(-2 - -6). What is the closest to -1 in z, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -297. Calculate the remainder when 27 is divided by ((-3)\/(-12))\/((-6)\/h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 2.1. Let l = 607.2678 + -0.6678. Let o = l - 607. Sort -3\/5, o, m in descending order.\nAnswer: o, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -34*a**7\/21 + 58*a**6\/15 + a**5 - 29*a**4\/3 + 8*a**3 + 1345*a. Solve j(o) = 0 for o.\nAnswer: -1, 0, 12\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170565298117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {a: 2, x: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12. Let y(c) = c + 3 + 1 + w. Determine y(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.06. Let w be (2 - -1) + (-26)\/8. Let i = 0.1 - -0.1. What is the third smallest value in i, w, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/5)\/((-6)\/40). Let r = c - 5. Find the second derivative of 4*t - 13*t**3 + 5*t**r + 2*t**3 wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17068, -36308, -55548, -74788?\nAnswer: -94028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + 4*(sqrt(5) - (-2 + sqrt(5))) - sqrt(40)\/(sqrt(16)\/sqrt(2))) + -4 + 2*(sqrt(5) + 2*sqrt(320) + -2 + 1 + sqrt(5)))**2.\nAnswer: 144*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c*r**3 + 3*c*r**2 - 6*c*r - c + 53*r**3 + 16010 wrt r?\nAnswer: 42*c + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*p = -376*p - 21 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**2 + 3944*k - 23520 = 0.\nAnswer: 6, 980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4\/6 - 658*k**3\/3 + 107512*k**2 - 69704800*k\/3 + 5594633984\/3 = 0.\nAnswer: 248, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + 506\/(-55))\/((-12)\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:41 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (1*(sqrt(171) - (sqrt(171) - (sqrt(171) - sqrt(171)*-1))))\/sqrt(9)).\nAnswer: 30 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - k + 737, 0 = -3*b + k + 1344 - 226. What is the lowest common multiple of 424 and b?\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 500 - 497. Let o be 90\/12*(-2)\/(-3). Suppose o*g = g + 12. What is the lowest common multiple of z and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4799388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 579*j**3 - j**2 - 2*j - 1. Let o be u(-1). Let i = -217 - o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m**3 - 73*m**2 - 112*m**3 - 1176696 - 112*m**2 + 1775*m + 1175196 + 5*m**4 = 0. What is m?\nAnswer: -5, 1, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/9 (b) -2\/13 (c) 57 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3881 + 4001 + -2 + -109.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 5:51 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 3*y + 3*y)*(y + 2*y - y + (-3 + 7 - 3)*(3*y + y - 6*y) - 3*y - 4*y + 5*y + 2*y - 3*y - 2*y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46050864, -92101742, -138152620, -184203498, -230254376?\n\"Answer: -46050878*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/72 and -11\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -5. Let p(c) = -9*c + 6. Let r(v) = v - 1. Let u(l) = q*r(l) + p(l). Let a(k) = k**2 - 12 + 12. Calculate a(u(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-40) - 12\/5. Let l be -5 + (-3 + 1 - d). Let u be -1 + l\/(-6) + 1. What is the closest to 1\/3 in u, -6, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -360?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.47 + 0.33. Is -1 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a - a)*(45 - 6 - 9)*(1 + 1 - 3) + 192*a - 155*a - 812*a - 457*a to l*a + s and give l.\nAnswer: -1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Is -3 + 136\/(1 - m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1466344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and -23\/39?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 71*r + 233. Let t(o) = 213*o + 817. Let b(y) = -7*q(y) + 2*t(y). Let u(s) = -4*s. What is u(b(j))?\nAnswer: 284*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 87 + 27 = 0. Let f = s + 14. Solve 2*m - 6 = -3*y + 9, -2*m - 10 = -f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 789*t**3 + 4. Let b(y) = -18148*y**3 - 91. Calculate -4*b(m) - 91*v(m).\nAnswer: 793*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54809*i**4 + i**3 + 45723448 wrt i?\nAnswer: -219236*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191262635 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 266*f + 769. Determine z(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 5*b**2 + 2*b + 4. Let r be s(-5). Find the common denominator of (5 + 5)\/((-64)\/r) and 23\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 229*h**2 - 193*h - 7422. Calculate b(230).\nAnswer: 1088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 200. Let j = 5 + 9. Let r be 4\/j - 2\/7. Solve -a*c - 2 + 8 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 5 - 30 + 11 + 925*z to o*z + i and give o.\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-44)\/6 + 18542. What is the highest common divisor of q and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u\/(u\/(u*u\/u**(-5)*u))))))\/u*u**(-3)*u*(u\/u**(2\/5))**(2\/41)*((u**(-1))**20)**5 assuming u is positive.\nAnswer: u**(-22544\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -27 + -27 + -2 + 2 - (-19 + 31)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:05 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -40?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.3 (c) 486 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -192861 smaller than -192862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2*p + 4 - 4) - 2 - 213 + 37 - p - 315.\nAnswer: -5*p - 493","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 111667.\nAnswer: -1\/111667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*b + 49*b - 88*b + 4*s + 12, -2*b - s = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = 2*l. Let f(i) = 4*i**3 - 2*i + 3. Let o(u) be the third derivative of u**6\/60 - u**4\/24 + u**3\/6 - 55654*u**2. Determine l*f(p) + 5*o(p).\nAnswer: 2*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:58 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7314 + 1440. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 1. Let d(t) = -9*t - 13. Give -d(m) + 2*q(m).\nAnswer: 5*m + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 1:16 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/1*-3*7\/(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2134\/333 - 26\/37. Let z(o) = -2*o**3 - 3*o**2 - 4*o - 2. Let y be z(-2). What is the common denominator of g and y\/(-16) - (-1 - 1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 2. Let m = 29 + -31. Determine n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-2750)*75 + (22 - 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 4*c = -y + 35, -4*y - 35 = -5*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1507?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6178 divided by -6178?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 99\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 1223011?\nAnswer: 1222444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -1 - 4)*3. Let b be r\/8 + (-4 - (-234)\/24). Find the second derivative of -8*a - 2*a + 15*a**5 + 7*a**5 + b*a wrt a.\nAnswer: 440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -377 - -562. Suppose -3*u - 2*u = -p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*m + 681*m - 130 = -4*u + u, 27*m = 2*u + 25*m + 120 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1*(-12)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + 3*o - 3. Let p be c(5). Suppose 13 = 5*n + 4*x - p, 0 = 5*n - x. Let m be (4 + (-1)\/(n\/7))*-3. Solve 5*s = 2*s - m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/18*-4*579\/(-386)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -410*h + 494. What is the hundreds digit of r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 430263.959825 and 4?\nAnswer: 430259.959825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 17*f - 47. Calculate b(25).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.54. Let q = g + 2.6. Let n = -6 - -5.9. Put 0.2, q, n in increasing order.\nAnswer: n, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -3*a - 27, -5*n + 5*a = -0*a + 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6067671, 12135278, 18202887, 24270498, 30338111, 36405726, 42473343?\nAnswer: 48540962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*b - 7, 0 = 6*j - 2*j - 5*b - 23. Suppose 5*p = j*p + 9. Suppose 2*i + p + 1 = 0. Put 2, 4, i in increasing order.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 7*p**2 - 5*p + 36. Let i(h) = h**2 - h + 7. Let c(b) = 2*f(b) - 11*i(b). Let g(x) = -x**3 + 0*x**2 + 1 + x**2 - 2. Give -c(z) + 3*g(z).\nAnswer: z**3 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 1. Let x(y) = -2*y**3 - y**2 - 4. Suppose 37 + 43 = 4*o. Suppose 0 = 2*m - 7*m + o. Calculate m*z(a) + x(a).\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**4\/6 + 12233*n**3\/6 - 1613387*n**2\/6 + 32811055*n\/6 + 3378349 = 0.\nAnswer: -2573, -3\/5, 26, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 20*n**2 + 16*n + 74. Determine y(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 - 5*g - 13. Let x be f(-3). Put x, -4, 4, 15 in increasing order.\nAnswer: -4, x, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 327 = -f, 0 = 3*f - 3*a - 353 - 658. What is the remainder when f is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70287612 and 300760?\nAnswer: 702876120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 m when two letters picked without replacement from {s: 5, m: 4, x: 2}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109, 107, 103, 97, 89, 79?\n\"Answer: -i**2 + i + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116 - 116. Let b be 1\/(-3) - (507\/45 + g). Is b bigger than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**45)**(-2\/11) assuming q is positive.\nAnswer: q**(180\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-76 - (-45 - -28)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 10*c - c + 9*c to f*c + n and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/9, 14174 in ascending order.\nAnswer: -1, 1\/9, 14174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -18. Let i = 14 - a. Suppose 4*z - i*z + 2 = 0. Solve -5*d + 10 = 5*b, z*b + 3 + 1 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.0461647 to one dp.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2\/23 (c) -1 (d) -1\/3 (e) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 49*r + 34. Let y(f) = 2*f**2 + 99*f - 69. Let p(a) = 9*x(a) + 4*y(a). Does 14 divide p(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**8\/16800 + n**7\/3150 + n**4\/24 + 19*n**2. Let p(s) be the second derivative of b(s). Let p(q) = 0. Calculate q.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 1034*m + 7158. Determine w(-7).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = -3*i - 4*l, -i + 3*l + 88 = 25. What is the highest common factor of i and 1425?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*d**2 + 57556*d + 2798174 wrt d?\nAnswer: -46*d + 57556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -1870.\nAnswer: 4\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y - 19. Let k = y + 8. Differentiate i**3 - 2*i**3 + 5 - k - i**3 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/15 and -74\/321?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + 623\/(-91)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + -11 + (-4 - -10). Suppose o = -18*c + 129 - 21. What is the remainder when 41 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/1197 and 67\/38040261.\nAnswer: 114120783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 + 538 + 3913*g - 4198*g.\nAnswer: -285*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 419 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28110724 and 707.\nAnswer: 196775068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 18. Suppose -2*c - c + 24 = -o*y, 5 = -c + 5*y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkwkkwwwkkkwwkrw. What is prob of picking 3 w and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 6*t**2 - 8*t - 10. Let z be i(7). Let b = z - -57. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-530 + 37*n**2 + 530)*(-1 + 3*n**2 - 2*n**2 - 1) to o*n**4 + j*n**2 + h*n**3 + w*n + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 11, 3\/4 in descending order.\nAnswer: 11, 3\/4, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 + 912 = 13*r. What is the remainder when 1175 is divided by r?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 24*x + 56 - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2096 + 3188. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-4))\/(-1)*(-69)\/(-1380).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 8 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -40487, -80976, -121467, -161960, -202455?\n\"Answer: -r**2 - 40486*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -869.\nAnswer: -5\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1512))\/(sqrt(6) + sqrt(6) + sqrt(726) + (3*sqrt(726) + sqrt(726) - sqrt(726))).\nAnswer: -15*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 13*i**2 + 17*i - 9. Let z(x) be the second derivative of x**4\/4 + 2*x**3\/3 - x**2 - 8*x. Give 2*w(b) - 9*z(b).\nAnswer: 2*b**3 - b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 30*a**2 + 14*a + 23. Let p(r) = -14*r**2 - 7*r - 11. Let v(t) = 4*m(t) + 9*p(t). Let w(l) = -4*l**2 - 5*l - 5. Calculate 5*v(q) - 7*w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 236, 721, 1010, 677, -704, -3559?\n\"Answer: -71*p**3 + 328*p**2 - 2*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/6 + (-3)\/(-9). Let i(a) = -a**2 + 7*a + 7. What is the units digit of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**6\/15 + 189*s**5\/20 + s**4\/4 + 25*s**3\/6 + 259*s. Find the third derivative of v(j) wrt j.\nAnswer: 48*j + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2542 and 1192756.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.4077587 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52257184 and 121856?\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 10*m**2 - 46*m - 9. Determine d(5).\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -81?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2670 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 1 - (286 + -271)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 736130686*b**2*t**2 + 2*b*t**2 + b*t - b - 3*t**2 + 628500 wrt b.\nAnswer: 1472261372*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*547)\/(-7 - -8). Let z = -192 + l. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 1540*w**2 - 294622*w + 583100.\nAnswer: -2*(w - 425)*(w - 343)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - c - 4*c - 3 - 2*c**2. Let d(h) = 2*h**2 + 3*h + 2. Let f = 1 + 2. Determine f*i(z) + 5*d(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 786*j + 1610*j + 1176*j as w + v*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2944850, 30, -2 in descending order.\nAnswer: 2944850, 30, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) -18 (d) 0 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:03 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/24 - 30*n**2. Let f(r) = -3*r + 2. Let z(l) = -f(l) - 4*h(l). Determine z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -111*a - 549. Give l(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/(-3069))\/((-90)\/(-396)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**3 - 39*m - 44. Let p(f) = 39*f**3 - 507*f - 570. Let h(i) = -4*p(i) + 51*w(i). Factor h(y).\nAnswer: -3*(y - 4)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, r: 8, g: 4}. What is prob of sequence reg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -222 - -1?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 3*z + 2. Let s(v) = v - 9. Let d be s(11). Let f be q(d). Solve 2*l + 3*l - 35 = 2*i, 3*i = -f*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 - -70. Let r = d + 80. Let c be (-2)\/(-8) - (-105)\/r. Solve -n - 3*a = -a + c, n + 13 = -5*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1199*n**2 + 6*n + 77. Is m(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6358?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*h + 29 = 0, -89 + 111 = 4*j + 2*h for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6418 = -2*f + j + 13224, 39276 = 4*f - 4*j. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -482630\/43 - -11224. What is the closest to l in -2, -1\/11, 3\/5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8036.018 and -3?\nAnswer: -24108.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832516.\nAnswer: 2, 208129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/168 + 17*a**7\/21 + 235*a**6\/6 + 1943*a**5\/3 - 46255*a**4\/12 + 24389*a**3\/3 - 14*a**2 - 3. Find g such that c(g) = 0.\nAnswer: -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*m = -5379 - 4891. Calculate the remainder when 23397 is divided by m.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 - 12*i - 37*i**2 - i**4 + 0*i**3 + 13*i**2 - 15*i**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 41\/492 + (-598)\/(-24) - 3\/(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 94224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1200)\/(-54) + -22 + (-166)\/18. Let w(d) = -8*d**2 + 5. Let f(r) = -16*r**2 + 11. What is p*w(x) + 4*f(x)?\nAnswer: 8*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2910 by -582.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 0*j - 3*j**3 + 5*j**2 - 1 - 2*j. Let o(v) = 10*v**3 - 10*v**2 + 7*v + 4. Calculate 4*o(f) + 14*s(f).\nAnswer: -2*f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - 31 + 40*g + 10 + 11 + 12.\nAnswer: 31*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-7)\/(35\/30). Suppose 4*c - 476 = -0*c. Let t = c + -71. What is the highest common divisor of d and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 3*y - 5. Let p be j(2). Calculate the greatest common divisor of 171 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301\/(-4472) - (-21)\/56?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-3)*8\/12. Let g be z\/(-10) + 454\/(-5). Calculate the least common multiple of (12\/7)\/((-13)\/g) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c + 27*c = 434 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 3\/4, -4, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-1\/3)*l*l\/(l**1\/l*l))\/(l**1)**(7\/6))**(-39) assuming l is positive.\nAnswer: l**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 - 80. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 143, 228, 377, 596, 891, 1268, 1733, 2292?\n\"Answer: b**3 + 26*b**2 + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 + 5*y + 1. Let h be b(-2). Let d(m) = m + 6. Let g be d(-4). Solve -g*i = -h*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from yfgansfnfsnf.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96*y - 4*y**2 + 270*y - 1584 + 174*y.\nAnswer: -4*(y - 132)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264 - 263.99999787. Round f to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31167 divided by -3463?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 23407?\nAnswer: 23407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.06, -5, -173?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576 is divided by 85?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 321.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145730 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 14)*-1*-1. Let j(f) = 5*f - 6*f + 337 + 325 + 4*f - 607. Calculate the remainder when j(k) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 740, 1569, 2398, 3227, 4056?\n\"Answer: 829*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8851585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 967 - 966.7. Let x be (-1 - (-2)\/2)*-1. Which is the smallest value? (a) 0.1 (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 27*n**2 + 75*n + 1. Give l(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -3*v**5\/10 + 5*v**4\/4 + 8*v. What is the third derivative of z(x) wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3393692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 272090 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3356673*b**2 - 3356509*b**2 - 3*b + 3*b. Let u(p) = p**2. Give j(u(t)).\nAnswer: 164*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 722 bigger than 722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -4\/9 (b) 126 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6228?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.709 and 0.020285883.\nAnswer: -1.688714117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooaaoiaaofaaascoafc. Give prob of sequence coc.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 2\/285 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2369891 is divided by 723?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 7. Let r = 7 + h. Let s = -4.00000048 - r. What is s rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -37, -90, -179, -316, -513, -782, -1135?\n\"Answer: -2*s**3 - 15*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 3*d**2 - 6*d**3 + 0*d**2 - 10*d**3.\nAnswer: -16*d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d**3 + 13 + 5\/2*d**2 + 3*d**4 + 0*d. Find the second derivative of s(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -20*a**3 + 6*a**2 - 94*a - 7. Let c(u) = 3*u**3 - u**2 - 2*u. Calculate 6*c(h) + j(h).\nAnswer: -2*h**3 - 106*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-3) - -2)*-3. Let d(i) = i**2 - i. Let j(c) = -c**3 + 3*c**2 - 3*c. Suppose -57*v - 570 = 252 + 33. Give u*j(r) + v*d(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c - 5. Suppose 17*o - 1550 = 745. Let z = o + -127. Determine l(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195\/191 + 3267\/955. Find o such that -108\/5*o - 2\/5*o**4 + 162\/5 + 0*o**2 + l*o**3 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:50 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*j + 27, -9 = 2*j + 7*u - 2*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18073253 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1)\/(31\/(-62)) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99927 and 321.\nAnswer: 32076567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -120438.\nAnswer: 2408.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/2 + 846*l + 50530 = 0.\nAnswer: -1630, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(243))*5 - (-4 + -4*sqrt(243)))**2 + (sqrt(576)*1 - sqrt(576))\/((-3*sqrt(132))\/sqrt(11)).\nAnswer: -972*sqrt(3) + 19719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -40*q**2 + 15. Let j(f) = 40*f**2 + 8*f - 7 - 1 - 16*f - 8 + 7*f. Let w(b) = 3*j(b) + 4*o(b). Find the second derivative of w(i) wrt i.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 27912776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 14*g**2 - 31*g - 2. What is the tens digit of a(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 9:28 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(66) + -4*sqrt(66)*1)\/sqrt(11))\/(((sqrt(80) + sqrt(80) + -1*sqrt(80))\/sqrt(10))\/(sqrt(4) - (sqrt(144)*-1 + sqrt(144)))))**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q + 2*t, -5*q + 2*t + 3*t = -35. Suppose -3 - q = -5*u. Which is the third biggest value? (a) 2\/7 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -880 and -0.02.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 847346865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -185484?\nAnswer: -1\/30914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 244020210 (base 5) in base 9?\nAnswer: 2153772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -16. Find the second derivative of -q**3 + g + 2*q - 1 - 4*q wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) -1\/4 (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 l when four letters picked without replacement from {y: 1, o: 10, l: 5, t: 1, w: 1, s: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 11:46 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(44)*-4 - sqrt(11)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n + 19. Does 10 divide f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1604634313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 196331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 7*d + 3. Suppose -6 = -3*n + 9. What is z(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -456, -465, -476, -489, -504, -521, -540?\n\"Answer: -c**2 - 6*c - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-93)\/33 + 11\/(-726)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w\/(w**12\/w))\/w)\/w)**(2\/3))**(1\/3) assuming w is positive.\nAnswer: w**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 321210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1095 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {f: 11, r: 6, v: 2}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 7 - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 4*d)*((-2*d**4 - 3 + 3)*(-1 + 1 - 2) + 4*d**4 - 2*d**4 - 4*d**4).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1, -5*t = 3*w - 10 - 1. Solve n + 0*n = -w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 27752512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283775461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2. Let c be (3 - 2)*(-2)\/2. Let o be v(c). Solve k - 3*y = 2*k + 5, -2*y = -k + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 - 2.93. Let g = 1701 + -1705. What is the nearest to -2 in w, 0.2, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 601*b**7\/21 - b**6\/15 + 152*b**4\/3 - 649*b. What is the third derivative of z(y) wrt y?\nAnswer: 72120*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -9*(-65)\/210 - 280831\/(-1561882)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/7)\/u)\/(u\/(u**(-2\/11)\/u*u)*u*u*u) assuming u is positive.\nAnswer: u**(-487\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (sqrt(256)\/sqrt(128) - (sqrt(128) + 1 + sqrt(32))))**2.\nAnswer: 44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1157)\/169 - -7 - ((-840)\/(-52) + -4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 567*n**3 + 20*n**2 - 12 wrt n?\nAnswer: 3402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (10 - ((-14 - -9) + 8 - -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15494 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 23296515.\nAnswer: -1\/7765505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - -45.71. Let k = 1.26 - r. Let f = k - 0.503. What is f rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -5\/24*x**4 + 1\/6*x**5 + 0 + 0*x + 10*x**2 - 1\/2*x**3 - 1\/120*x**6. Is q(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c - 40. What is the remainder when d(-12) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7082 - (9 - (-3)\/(-3))?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l*l\/l**(2\/3))\/(l**(7\/2)\/(l**(-1\/18)\/l)) assuming l is positive.\nAnswer: l**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p + 2. Suppose 4*v - 11 - 2 = 5*b, 11 = -b + 5*v. Let y be b*(-1 + 3 + 9). Let q(m) = 9*m + 4. Determine y*a(l) + 6*q(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 15. Let p be x(7). Suppose -r = -10 + p. Solve -n - r*l + 5 = 2, 15 = 2*n - 5*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4639 + -117. Let p(h) = -h**3 + 33*h**2 + 43*h + 1. Let q be p(31). Let a = q + z. What is a rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 75. Calculate the remainder when 42 is divided by (-88)\/(-6) + 5\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 10.3. Let s = -0.1 - -0.3. Let j = 448 - 444. Which is the third smallest value? (a) j (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:53 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(66*y**2 + 78*y**2 - 129*y**2 + (4*y + 2*y - 4*y)*(-y + 3*y + 0*y) + y**2 + 3 - 3) in the form s + g*y**2 + b*y and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**27*i**17\/i assuming i is positive.\nAnswer: i**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 747*x**3 + 1.\nAnswer: -747*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:11 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -21*y**2 + 11*y - 31. Let n be z(3). Let l = n - -203. Solve 0 = 5*d + 5*p - 2*p - l, -3*d + 4 = -p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -826.1541?\nAnswer: -826.5541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -4 + 5*z**2 - 2*z + 1\/3*z**3. Is y(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**3 - 7. Is v(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3065562169 to 5 dps.\nAnswer: 0.30656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2002203 (base 4) to base 16\nAnswer: 20a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Let r = 0.22 + 1.78. Which is the nearest to -0.1? (a) r (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 1008248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide -25*((-3680)\/10 - 13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 70 - 30 = 0. Suppose u = -3*z + 29. Solve -5*l + 3*b = 8, 3*l + 6 = -0*b + z*b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:24 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from fjfjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let x = -1.3 + 3.3. Let c = x - 1.97. Sort r, -0.3, c.\nAnswer: -0.3, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2)**(-2)\/(x**(-1)\/x)**13 assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -6. Sort -6, 0, b.\nAnswer: -6, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*x + 48 = -0*p, -4*x = -3*p + 68. What is the highest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 13*c - 18. Let q be 92\/(-12) + -4 + 2\/3. Let w be o(q). Let 4*y**2 + 8*y**5 - 47\/2*y**3 + w*y**4 + 1 + 13\/2*y = 0. What is y?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1296)\/sqrt(12))**2 - (-1 + -3*4*sqrt(3))**2.\nAnswer: -541 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 6. Let w be o(11). Suppose -w*j + 0*j = -2900000. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -14) - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.9? (a) -3\/14 (b) -22 (c) -17 (d) 1\/5 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 23 = -2*w + 2*f, -159*w - 2462 = f - 3652 - 4216 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -18. What is the second smallest value in 0, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 161, 0.3, 2 in decreasing order.\nAnswer: 161, 2, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*m + 21*m - 110. Let w = 14 - m. Suppose -h**5 + 2*h**2 - 25*h**4 + 11*h**5 - 60*h**w + 6*h + 14*h - 7*h**2 = 0. What is h?\nAnswer: -1, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/6720 + 7*q**5\/120 + q**4\/12 + 2*q**2. Let s(r) be the second derivative of y(r). Differentiate s(k) wrt k.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 27584946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 1. Let r = -1196 + 1218. Calculate the remainder when n(-6) is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/6)\/(1\/10))\/((230183\/(-4979))\/(-601))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 890 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 3078768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.98 + 459.98. Let u = p + -457.7. Which is the smallest value? (a) u (b) -1\/3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*q**2*t + 35*o*q**2 + 58*q**2*t wrt o.\nAnswer: q**2*t + 35*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.1 + 17.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116.04 or -7791?\nAnswer: -116.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34372.7 decades in years?\nAnswer: 343727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 276, -91, 13, 23 in ascending order.\nAnswer: -91, 13, 23, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 41*d + 55. Let v be j(-21). Suppose v*h = 14*h. Solve h = -3*a - 0*a, -2*a = -w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 9:29 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 25*r - 5*q - 45 = 0, -27 = 5*r + 3*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-15) - (-19)\/(-5). Let a(j) = 3*j**2 + 2*j - 1. Let s be a(d). Calculate the remainder when 1632\/s - 2\/(-13) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98174*g - 372 = 98143*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/7)\/n**3*(n*n\/(n\/(n*n**11)))**16 assuming n is positive.\nAnswer: n**(1434\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1987848939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/96 and 149\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + 54 + 4*x + 134 - 244.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 12 + (1 - 3 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d - d)*(-28*d + 2*d**2 + 12*d + 2 - 1).\nAnswer: -8*d**3 + 64*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 228493\/4 and 57124 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*sqrt(136)*5 + sqrt(136)))\/((sqrt(72) + sqrt(8))*-5 - (sqrt(8) - sqrt(16)\/sqrt(2)*-4)).\nAnswer: 78*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 32504.\nAnswer: 292536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9492.838 + 9482. Let c = 10.7 + b. What is c rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2. Let f(w) = -561*w**2. Determine f(r(l)).\nAnswer: -8976*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -35 + 23. Let w be r*(-3 - (-75)\/(-9)). Calculate the greatest common divisor of 170 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5 - 5*w + 2*w**2 - 2 - 3*w**2 - 2. Let g = -3 + 6. Suppose g*v + 2 + 10 = 0. Determine l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/7 - 13551*c**3\/7 + 17220633*c**2\/7 - 958558755*c = 0. What is c?\nAnswer: 0, 911, 2695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - -1 - (3 - 3). Suppose 3*f + 2*s = 26, 5*s - b = -2*f + 6. Solve -5*a + f - 29 = 2*x, -5*x = 2*a + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5730 - -5757. Let x be (1\/(-2))\/((-1)\/6). Which is the closest to 0? (a) -4 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 5 = d, 2*q = 2*d + 96 - 189 + 73 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((12\/3)\/(-2)). Suppose 3*d - g*l + 6 = -4*l, -3 = 3*d + 3*l. Let u = -0.7 + 2.7. What is the nearest to u in 0.5, -1, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 13 - (21 + -4 + 4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206333270 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/20 - 562*g**2 - 11. Let m(x) = -126*x. Give m(a(d)).\nAnswer: 378*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6466.083685 + -4139.\nAnswer: -10605.083685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -20. Suppose -u = -3*i - 0*i. Let h(z) = -z**3 + 4*z**2 - 4*z + 4. What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1742144 divided by -5?\nAnswer: 1742144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10758 times 3001\nAnswer: 32284758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 95) + (146 - 88)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*((-4)\/14)\/((-232)\/(-203))*4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -21*q - 31. What is v(-5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10498 = o. Let i be 5757\/(-2)*o\/3. Let w = i - -16972831. What is w rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. What is the second derivative of -25*q**5 + 8*q - i*q**4 + 8*q + 2*q**4 wrt q?\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14025 is divided by 13989?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.6 - -7.1. Let s be (-1)\/(-3) - 24\/45. Which is the second biggest value? (a) 0.4 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgppggrgpr. Give prob of picking 1 r, 1 g, and 1 p.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, -7, -35, 19.\nAnswer: -35, -7, -4, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 4)*(0*o + 0*o - o**5) + (-5 + 2 - 1)*(-o**4 + o**4 + 2*o**5).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u - 2220. Suppose -u = -6*a + 4594. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253900957\/1200 - -211584. Find the common denominator of -49\/33 and i.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411844813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-13)\/(1729\/14) + (-92956)\/(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5)\/(q\/q**(-1\/17)))\/(q\/q**(-2))**17)**(-3\/4))**(-1\/28) assuming q is positive.\nAnswer: q**(-1455\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2. Let s(f) be the first derivative of -63*f**2\/2 + 92. Give s(d(k)).\nAnswer: 189*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 710*i**2 + 17397*i + 160743. Give u(734).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, t: 9}. Give prob of picking 2 t and 2 f.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 t when four letters picked without replacement from {x: 2, t: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opp when three letters picked without replacement from xppenpoepneoepxppxp.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-15) + (-3)\/20. Let n be (1164\/108 + -11)*6\/(-4). Sort n, r, -0.04, 5 in descending order.\nAnswer: 5, n, r, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*m - 12 + 10, -3 = -3*m + 3*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(315\/28)*540\/144\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 2) + (465\/25)\/3. Which is the closest to 2\/5? (a) j (b) 6 (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*(z**(-6)*z)\/z)\/z*(z**(-5)*z)\/z*(z*(z\/(z**(-1)\/z)*z)\/z)**(8\/7) assuming z is positive.\nAnswer: z**(-31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 7) in base 8?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 + 3\/5*z**2 + 1\/5*z**3 + 0*z.\nAnswer: (z - 1)*(z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 12. Let q be c(-6). Suppose k - 3*k = q. Let a(j) be the first derivative of -3*j**2\/2 - 3*j - 403. Determine a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1822992*a*z - 2570401*a + 2 wrt z.\nAnswer: 1822992*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**27\/(n\/(n*n**(-4)*n)*n\/((n*n\/n**0*n)\/n*n)) assuming n is positive.\nAnswer: n**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/24 + (-229)\/(-4). Let d = -57 + z. Suppose d*t - 1658 = -2*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(9\/(-2)))\/(28\/(-42))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 27*v**5\/5 - v**3\/3 - 4*v**2 + 6. What is the third derivative of l(z) wrt z?\nAnswer: 648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*l + 290*l - 3131*l.\nAnswer: -3467*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 16, 3, 1 in descending order.\nAnswer: 16, 3, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5792562g to nanograms.\nAnswer: 579256200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176579709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 32 - 6 = -q, -5 = 3*c - 5*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 438761\/6 + 4 - (-2)\/12. Suppose -o = 3*y - h - 15016, 4*o + 3*y = 352579. Suppose -7*c - 33544 = -o. What is c rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17160.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, 386, 1001?\nAnswer: 1616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25172266738 and -0.1.\nAnswer: -25172266738.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/5*d**3 - 8\/5 - 4\/5*d**5 - 8\/5*d**4 - 4\/5*d + 16\/5*d**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 5*o**2 - 3*o - 4. Let l be h(3). Suppose -10 = -3*k + l. Suppose 4*t = 2*y - 48, -t = 5*y - k*t - 150. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.99 plus 1026431?\nAnswer: 1026556.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8*h - 38 = 0, 2*p + 146*h - 298*h - 12 = -150*h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21619352*q**3 - 56537510*q**2.\nAnswer: 129716112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 2:41 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308 + -210. Calculate the remainder when r is divided by 102968\/1899 + (-8)\/36.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577055 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 l(m) = 2*m**2 - 23*m + 119. Let u be l(6). Let v = u - 49. Solve -v*q = y + 2, 5*q - 2*y + 1 = 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186*o**2*p*t - o*p*t + 56*o*p wrt o?\nAnswer: -372*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.383, -12\/17, 5, -51 in ascending order.\nAnswer: -51, -1, -12\/17, -0.383, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**4 + 2*w + 1475*w**2 + w - 1495*w**2 - 37 wrt w?\nAnswer: -156*w**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 43 = 3*c, 3*c - 2*k = -2*c + 89. Suppose t - c = 15. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663465 (base 7) to base 2.\nAnswer: 11100011100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.018 - 31.018. Let q = t + 31.3. Let i be (0 - -2) + (-48)\/27. Which is the nearest to 1? (a) -2 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(832) + -2) + -1)**2 - (0 + (-2*sqrt(832)*-1)**2 + sqrt(832))) + 2.\nAnswer: -248*sqrt(13) + 4187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94768\/25445208*(2\/6 - 7\/(-6)).\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:15 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7 + 21\/(-12))*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -2\/7, 4\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46588936 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5337*n**2 - 1642*n**2 + 757*n**2)*(-n**3 - 2*n**3 + 4*n**3).\nAnswer: 4452*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050151 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 44760\nAnswer: -1\/2238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*y - 132 = 0, 0 = -a + 2*y - 37 + 66. Suppose -33*d - 6414 = -a*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 9*b = 5*p + 12, 4*b + 20 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7897 - (338\/(-4563) + (-104)\/54) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 10*p - 28. What is the remainder when o(13) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = w - 0 - 1, -3*w + 7 = 2*y. Let o = 2 + y. Let r(b) = -2*b**3 - b**2 + 3*b + 1. What are the prime factors of r(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 + 37 = 0. Let p = 49 - v. Suppose p = -o + 4*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 7*h - 5. Let d = 9 - 5. What are the prime factors of j(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -15*q**3 - 2*q**2 + 3*q + 24. What is the second derivative of o(n) wrt n?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 156. Let q be (x + 37)\/(-2*19). Let k = -8 - -7. Which is the closest to k? (a) q (b) 0 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 101477 from 0.8.\nAnswer: -101476.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -113*n**2 + 8*n - 8. Let g(p) = 71*p**2 - 5*p + 5. Let v(t) = -5*d(t) - 8*g(t). Let h(r) = -932*r**2. Determine v(h(l)).\nAnswer: -2605872*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8011 is divided by 672?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 89 = -433*b + 434*b + 12*p, -3*p = 4*b - 41 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919*g - 9 = 916*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3148 = -678*l - 1598 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/25, 0.4, 19\/40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)*c)**(-48)*c**(-3)*c\/c**8 assuming c is positive.\nAnswer: c**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**4*f)\/(f\/f**(2\/3)))\/((f\/(f*f*f**5*f))\/(((f\/f**9)\/f)\/f)))**(1\/20))**9 assuming f is positive.\nAnswer: f**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4891 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1408, -1431, -1472, -1537, -1632?\nAnswer: -1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*d + 7, 4*h - 3*d = -8*d + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - -0.5. Let g be 42\/126 - (-1)\/(-2). Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42668*j + 29*j**2 - 21214*j - 21454*j.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2027 = 25*f + 552. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -31. Solve 5*f - 3 - 27 = -5*x, 4*f = -3*x + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/(2\/129). Suppose -p = -7*l + 13. Suppose -2*f - 80 = -2*r, l = -r - 4*f + 28. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1226*p = -464*p - 457*p - 333*p - 133920 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6475629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g)\/g*g\/g**34*(g\/(g**(-31)\/g))**39 assuming g is positive.\nAnswer: g**1243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 30\/7 (c) -1\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -2 + 1 - 5*-2*sqrt(5)) + sqrt(5) + (sqrt(165)\/sqrt(3))\/sqrt(11) + (sqrt(110)\/sqrt(2))\/sqrt(11).\nAnswer: -1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inoaknopnniiaaoaiao. What is prob of picking 1 a, 1 o, 1 p, and 1 n?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6174)\/27783*-18*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 minus 42807?\nAnswer: -42809.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7558*d - 5562 = -7352*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.912498 rounded to 2 decimal places?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.043875 litres?\nAnswer: 7043.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 71*s**2 - 36*s + 9. Let d(o) = 18*o**2 - 9*o + 2. What is -9*d(w) + 2*n(w)?\nAnswer: -20*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74954610, -149909219, -224863828, -299818437, -374773046?\nAnswer: -449727655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-3)*21\/(-5). Calculate the smallest common multiple of 224\/l - (-5 + 3\/3) and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from mmdpddpppdpmpdd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -35*r**6\/6 - 7*r**2\/2 + 12. What is the second derivative of i(j) wrt j?\nAnswer: -700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 7525817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*o**4 + 1654*o**3\/3 - 12650*o**2 + 96278*o + 24334\/3.\nAnswer: -2*(o - 23)**3*(12*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, a: 2, g: 1, b: 1, l: 2, v: 1}. What is prob of sequence aagl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -34, -184, -5, 7, 214 in descending order.\nAnswer: 214, 7, 3, -5, -34, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 4*d**2 - d + 1. Let c(h) = -4*h**3 + 5*h**2 + 2*h - 1. Suppose 19*k + 87*k + 530 = 0. What is k*b(v) - 4*c(v)?\nAnswer: v**3 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4 = d, 4*d - 4 = -4*i + 12. Solve i = -3*m - x - 11, 29 = m - 6*m + x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168302, 336789, 505276, 673763?\nAnswer: 842250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -875.18 + 1.36\nAnswer: -873.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose 3*m - 7 + q = -w, -2*m = 0. Suppose 0 = 4*p - w*k - 2968, 2*p - 2*k + 3*k - 1474 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -549 in -3, 4, -26966?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-471072)\/56080*(8\/18)\/((-2)\/(-15)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 9*i**2 + 7*i + 3. Let n be w(-8). Suppose 2*g = -3*y + 1, 3*y - 5*g + 24 = -10. Find the common denominator of ((-6)\/n)\/((-6)\/y) and -119\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.9 - 20. Let o = 3 - s. Which is the nearest to o? (a) -0.5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47809, 47791, 47763, 47725, 47677, 47619?\nAnswer: 47551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 + 89*t + 68. What is m(30)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (795*k**4 + 461*k**4 + 243*k**4)*(-4 + 1 + 1).\nAnswer: -2998*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -216 - -531. Suppose a = j + o, 6*j + 2*o = 3*j + 942. What is the highest common divisor of 39 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*l + 73. Let q(b) = -b + 5. Let y(p) = -p + 1. Determine l*q(k) + 4*y(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21*f**3 + 2*f**2 - f - 438. Calculate g(0).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -137 - 80 + 52*l + 39 with respect to l.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -10*z**3\/3 + 2*z**2 + 4*z + 17. Let o(h) = -9*h**2 + 3*h + 3. Let s(p) = -6*d(p) + 7*o(p). Calculate s(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/4 - 19979*w**3\/2 + 19978*w**2 = 0. What is w?\nAnswer: 0, 2, 39956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 210*z + 3675.\nAnswer: 3*(z + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 140637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28\/19, 5, 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65.31? (a) -1\/6 (b) -0.03 (c) -12 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1016 = -11*h - 1005 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 2*w + 21, -5*m + 5*w - 40 = 0. Let z(g) = 8*g**2 - 16*g - 44. List the prime factors of z(m).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 92, 156, 248, 368?\n\"Answer: 14*m**2 - 6*m + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/5 + 36\/5. Which is the second smallest value? (a) 3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/6339 and 89\/120.\nAnswer: 253560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.29, -2903\/60, 5 in decreasing order.\nAnswer: 5, -0.29, -2, -2903\/60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 252906917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 3420*j**2 + 924000*j + 80344000.\nAnswer: 4*(j + 220)**2*(j + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**3*q)**(-15\/2)*((q\/(q*q*q**(2\/5)))\/q)**43 assuming q is positive.\nAnswer: q**(-957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-25) + 115\/200. Let l = 0.052 + 0.158. Let v = 0.09 + l. Put v, -0.2, x in ascending order.\nAnswer: -0.2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q**2. Let n(a) = 6*a + 5. Let g(o) be the third derivative of o**4\/4 + o**3 + 15*o**2. Let f(b) = 5*g(b) - 6*n(b). What is f(m(c))?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2234*q**3 + 983*q**3 + 1052*q**3 + (5*q**2 - 3*q**2 - 4*q**2)*(-1 + q + 1) - q**3 - 3*q**3 + 3*q**3.\nAnswer: -202*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(3 + sqrt(153) + sqrt(153)) + sqrt(153) - (sqrt(153) + 0 + -1)))**2.\nAnswer: 1224*sqrt(17) + 22321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 24*z + 102. Calculate the smallest common multiple of b(-15) and 87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 24 = 6. Solve -a + 3*u = -3*a - x, -4*a + 3*u = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-1\/2)))**(28\/5))**(37\/3)*(l**(2\/3)*l**(5\/3)\/l)**48 assuming l is positive.\nAnswer: l**(442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12030 + 26064. What are the prime factors of k?\nAnswer: 2, 3, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v\/v**6)*v*v)\/v**(-8\/3))**(-8\/13))**(6\/17) assuming v is positive.\nAnswer: v**(-560\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7666 - 7321. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36400?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*i**2 - 172*i**2 + 411*i**2 + 496*i**3.\nAnswer: 496*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13878 - 13878.3. Which is the closest to -0.1? (a) 6\/17 (b) 27 (c) v (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7*(-14)\/(-147))\/(5\/6). Let c(u) be the first derivative of 4*u**2 + 0*u**3 - 2*u**4 - o*u**5 + 4*u + 14. Factor c(w).\nAnswer: -4*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d - 12*d + 8*d**2 to the form y + v*d**2 + t*d and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 37029 - 37029.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 5*m + 3. Let a(i) = -i**3 - 2*i**2 + 3*i + 5. Let w be a(-3). Suppose -z - 4*z = -w. Calculate the highest common factor of z and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04120096326 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*n + 30 = 0, 0 = -186*n + 190*n + 16. Let u = 2 - -2. Suppose -4*t = -5*t - u*z + 135, j*z = -10. What are the prime factors of t?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/(-23)*10 + 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + f - 29 = 0, 3*d + 5*f - 8 = -1. Let c(t) = t + 12. Give c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 2163 in descending order.\nAnswer: 2163, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 + 130827060*d - 130827058 = 0. Calculate d.\nAnswer: 1, 65413529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-3)*357\/952. Let k(w) = -w**2 - 3*w + 3. Let q be k(-3). Put -1, -2, q, u in decreasing order.\nAnswer: q, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/3 - 2*p**4\/3 - 2*p**3 + 2*p**2\/3 + 4*p\/3 = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -7)\/(-3)*10. Let d be -2 + 285\/g*4. Suppose -d = -9*h + 50. What is the least common multiple of 6 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 26. What is x in -2*x**3 + 30*x + t*x**3 - 3*x + 18*x**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 82. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 3\/4 (c) -3\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -16*h - 107. What is the units digit of o(-38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/5 + 8696*i**4\/5 + 8722*i**3\/5 - 43480*i**2 - 43485*i = 0. What is i?\nAnswer: -5, -1, 0, 5, 8697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 78*f**2 - 3840*f + 827. Determine x(49).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 4703094.9?\nAnswer: -4703101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*s + 1097 - 532 = -115*s + 540, 6*f - 43 = 2*f + 7*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 12*y. Let b(w) = -20*w**2. Give b(l(x)).\nAnswer: -2880*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/1658 (b) -2\/147 (c) -0.12 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 4*y - 29. List the prime factors of u(12).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i + 4*l, 3*i - l + 18 = 47. Which is the nearest to i? (a) 3 (b) 0.2 (c) -2\/9 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4659060 * 1.4\nAnswer: -6522684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -34367, -34772, -35441, -36368, -37547, -38972, -40637, -42536?\n\"Answer: z**3 - 138*z**2 + 2*z - 34232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, -125, -654, -1661, -3296, -5709, -9050, -13469?\nAnswer: -19116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -24 + (-15 - -24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.198, -4, -86, -2.\nAnswer: -86, -4, -2, 3.198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-58)\/(-4))\/(-1). Suppose 0 = -525*j + 531*j - 2640. Let b = j - 467. Is o greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and 40\/12294459?\nAnswer: 24588918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 1, i: 1, t: 3}. What is prob of picking 1 i, 1 v, and 1 t?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042367116 rounded to 7 dps?\nAnswer: 0.0000424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 + 42*q**2 - 918*q + 6523. Calculate l(7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 164*n - 456.\nAnswer: -4*(n + 3)*(n + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 12*y**3 - 7*y**2 + 3*y + 2 = 0.\nAnswer: -2, -1, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0 + 0)*(0 + 0 + 3*p) + 3*p - 13*p**2 + 4*p**2 - 3*p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.727 rounded to 2 decimal places?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*n**2*r*y - 3*n**2*r + 2*n*r**2 + 1106*r**2*y - 2*r**2 - r*y with respect to n.\nAnswer: 114*n*r*y - 6*n*r + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (184\/(-24))\/((-2)\/(-30)). Let n = s - -128. Calculate the remainder when 49 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613262670?\nAnswer: 2, 5, 41, 1889, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 127 + 423*p - 451*p + 8*p**2 - 8*p**2 - p**2. Give n(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3 - (0 + -3 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7508 times -5\nAnswer: -37540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 2) + 75\/3. Suppose 100 + 106 = 2*a. Suppose 0 = -12*t + 535 - a. Calculate the highest common factor of t and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -53.91 and -399.\nAnswer: 21510.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c = -54*c + 14040. Calculate the lowest common multiple of c and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((9 - 27) + 12 - (2 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) - (464\/(-960) - 42\/56)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 2318374*f. Let l(p) = -2*p. What is d(l(v))?\nAnswer: 8*v**2 + 4636748*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 2*i + 3. Determine p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 349 - 6979\/20. Let u(m) be the second derivative of 2*m - 7\/12*m**4 - 1\/6*m**3 - 3\/2*m**2 - w*m**5 + 0. Give u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26*(-1568)\/(-8736))\/(1\/27)?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - m = 2*h, 5*m - 20 = 0. Let u be 24\/(-16)*8\/(-3). Put u, h, 5 in decreasing order.\nAnswer: 5, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = l + 6, 5*l = 4*l + 4. Let i(p) = p**3 - 3*p**2 - 5*p + 5. What is the lowest common multiple of i(5) and ((-6)\/o)\/((-19)\/(-5) - 4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41 - 35 - 560*-1.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*y**3 - 870*y - 8011.\nAnswer: -42*y**2 - 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - t = -3*t + 213, -5*x = -t - 201. Sort x, -2, 2 in decreasing order.\nAnswer: x, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(-1)*(-2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52119 - 36149. Let i = f + -191489\/12. What is the common denominator of -43\/16 and i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = m + 4*m. Let w(u) = u + u - m*u. Let c(h) = 4*h - 2*h + 2*h. Give c(w(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 15618600?\nAnswer: 15618600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*r + 3549012 + 676956 = 0. List the prime factors of r.\nAnswer: 2, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 11000102?\nAnswer: 11000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -89182.\nAnswer: -3\/44591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgt when three letters picked without replacement from {t: 4, w: 7, g: 2, y: 1, b: 1}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2817 + -21)*(-11)\/2?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10349 is divided by 225.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Let n = p - 8. Let o(y) = 1 - 1 + 3*y. Determine o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(972)*-2 + sqrt(27))\/sqrt(9) + -5 - (sqrt(6) - sqrt(42)\/(sqrt(7)*-2))\/(sqrt(2) - (sqrt(162) + -2*sqrt(162) - sqrt(162)) - sqrt(2)).\nAnswer: -121*sqrt(3)\/12 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 1 + 0 - 1)*(4 - 3 + 7).\nAnswer: 24*v - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 53*c**4 - 199*c**3 + 147*c**2 = 0. Calculate c.\nAnswer: 0, 1, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 99*v - 2409. Give o(-68).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 - 519014*j**2 + 980298*j.\nAnswer: 20*j**3 - 1038028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -98? (a) 10.9 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 + 27*l + 37. What is w(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 + 4*n + 1. Give z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64004703.\nAnswer: 3, 7, 83, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzu when three letters picked without replacement from uuuuuuuuuuuzuuuuuuuz.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 176333451 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 - 365*s**3 + 2305*s**2 - 7541*s + 1050 wrt s.\nAnswer: 24*s**2 - 2190*s + 4610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -30.6 (b) -0.3 (c) -304\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31190408)\/36*-1 + (-18)\/81. Suppose 57*o = 45*o - y. What is o rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1199c961 - 2?\nAnswer: -1199c963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 + 4*l - 70 - 74)*(-2 + 3 + 0).\nAnswer: 4*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 107*g + 3259. Determine v(-29).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495367293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from cqcacqaqacvqqqqaqa.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -153. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -72*z**5\/5 + 17*z**3\/3 - 26. Find the third derivative of k(h) wrt h.\nAnswer: -1728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1109 + 1675. Let q = 1010 - r. List the prime factors of q.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -49, -111, -197, -307?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + -2. Let z = 1922 - 2008. Let k = f - z. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.159\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 863*a + 3643. What is w(-3)?\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -1454484456?\nAnswer: -1454484454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*b + 3591 - 2343 = -106 - 4766 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/438 and 83\/20.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 1601 (c) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/5, 2\/353?\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 103488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**3 + 72*x**2 + 54*x - 15. What is the remainder when t(31) is divided by 245?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1752 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -878?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 12:47 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152.592237 + -151.264237713. Let u = -1.328 + s. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1216511\/336870 + 2\/18715. Let g = -3\/1153 + 51909\/9224. Calculate the common denominator of u and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 2*d - 3. Suppose b + 3*y = 5, 0 = -2*b + y - 0*y + 24. What is the lowest common multiple of b and t(-3)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 671934, 1343872, 2015812, 2687754?\n\"Answer: i**2 + 671935*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33954112*f**3*i - f**3 - 7700627*f**2 + 3*f wrt i.\nAnswer: 33954112*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 7. Let w be g(4). Put 5, w, -4 in increasing order.\nAnswer: -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -294, -546, -792, -1032, -1266, -1494?\n\"Answer: 3*l**2 - 261*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410607101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16790 - 16788. Solve -s = 0, 5*s - d*s = -5*b + 5*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 9*p**2 - 2486*p + 24964. Determine w(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1689, -8, 2791, 6708, 11743?\nAnswer: 17896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 8*k + 13. Let g be j(7). Let y be 66\/g + 9\/45 - 4. Let n be (0 - (-1 - 0))*3. What is the smallest value in y, n, 0.5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 102. Let t(v) be the first derivative of -v**3\/3 - 11*v**2 - 38*v + 7. Let b be t(-20). What is the smallest value in 3\/4, j, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 + -257. What is the fourth biggest value in -0.3, 0.5, 0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.058 - 0.248. Let l = 0.01 - p. Which is the nearest to -1? (a) l (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -90, -2 in increasing order.\nAnswer: -90, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**2 - 1. Let q = 258 + -256. Let a(w) = q - 94*w**2 - 2 + 104*w**2. What is a(o(l))?\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42\/491 - 41764\/5401. Is -9 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6372 (base 16) to base 10.\nAnswer: -25458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/23863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - q - 2. Let b be y(-1). Suppose -b*o + 2 = -6, -t = 2*o - 105. Calculate the remainder when t is divided by (-34)\/(-12)*11\/((-66)\/(-36)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + 1. Let x(w) = -3*w**3 - 5*w**2 + 4*w - 4. Let h be ((-1128)\/(-72) - 16)\/((-3)\/(-45)). Calculate h*a(r) - x(r).\nAnswer: -2*r**3 - 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 91.85055um?\nAnswer: 0.009185055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 971 + -534. Let n = z + -436.9. What is the third smallest value in -1, -7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1535 and 31668278?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 2, q: 1, i: 2, p: 6, z: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooq when three letters picked without replacement from {q: 1, v: 1, x: 1, g: 2, o: 5, e: 3}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-42)\/r)\/(r**(-41)\/r))**22)**(-3\/8) assuming r is positive.\nAnswer: r**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5882 + -1762?\nAnswer: -7754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.314 * 10\nAnswer: -3.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3707065?\nAnswer: 5, 741413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 - 136*k\/7 - 426\/7.\nAnswer: 2*(k - 71)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 + 195*t - 1755. Calculate r(25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/199140 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/2)\/s)**3)**(-3\/19) assuming s is positive.\nAnswer: s**(45\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 5*b + 18*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/28 + 4\/(-8). Let y = -0.17 + 0.37. What is the closest to -0.1 in v, 0.5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 192271980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8850 - -8875. Let q(a) be the first derivative of -1\/8*a**2 + 0*a - o + 1\/12*a**3. Factor q(s).\nAnswer: s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 3252.\nAnswer: 9756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmxkhhhpkhkpkhkh. What is prob of picking 2 x and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crwcrrrkkrrrwapar. Give prob of picking 1 p and 1 a.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5854 + 81*z - 5854)*(-2 - 26 - 11).\nAnswer: -3159*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, v: 1, i: 3, j: 3, z: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-522)\/957)\/((-16)\/11). Let s = -0.3 - -0.2. Let q = s + 0.1. Which is the fourth smallest value? (a) -4 (b) q (c) -1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -914, -2023, -3370, -4955, -6778?\nAnswer: -8839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*m - 62. Let q = m + -9. Is -1 + 554 - q - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + 3 - (-21 + -5 + -22 - -22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7*q = 0. Solve z - 2 - 1 = q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 60, 2, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 + 8*t - 5. Let c be a(-6). Suppose -13*q + c*q - 54 = 0. Suppose -11*j = -q*j - 38. Calculate the greatest common divisor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 4*f)*(1 + 1 + 0)*((2 + 3 - 4)*(f + f - 6*f) - 2*f - 2*f + 6*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*3.4.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12674544, -50698206, -114070976, -202792854, -316863840?\nAnswer: -456283934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 14) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 198 (b) 5 (c) -2.764\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*j - 14*j + 5*j**2 + 1 + 24*j**2 to o + x*j + w*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -32. Let v = 13.99819 - k. What is v rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(k**3 - 4*k**3 + 5*k**3) - k**3 + 3*k - 3*k + (k + k - 3*k)*((-5*k + 5*k + 3*k**2)*(-11 + 2 + 0) + 2*k**2 - 2*k**2 - 2*k**2).\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 8*c**2 + 8*c + 24. Let p be f(-7). Is p at least as big as -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -66. Let q = -27 + l. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 29*f**2 + 11*f + 22. Calculate the remainder when z(-25) is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747583103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -71712 less than 1.3034762?\nAnswer: 71713.3034762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 58\/((-2)\/((-8)\/2)). Suppose -5*x + 5*k = -330, f = -3*x - 2*k + 299. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 0*p + 0*p + (-3129*p**2 + 57298 - 57298)*(-p**2 + 4*p**2 - p**2).\nAnswer: -6257*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 877 = 3385. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c - 12*c - 1008. Suppose c*u = 108*u + 24. Solve f = -3*z + u, 4*z + 3*f = -f + 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - 4*k**4 + 0*k**4 + (-2*k - k + 4*k)*(k**3 - 4 + 4) + 2*k**4 + 6*k**4 + 6*k**4.\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50303 + -27870. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 9:41 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**2. Let a(z) = 22*z**2 + 2*z. Give a(v(r)).\nAnswer: 1078*r**4 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d - d + 7*d + 0*d. Let j(k) = 7*k. What is g(j(m))?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from sssxx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 771011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*h*m*p + h*p**2 - 342*m*p**4 - 2*p wrt p?\nAnswer: 2*h - 4104*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*d*t**4 - d*t**3 - 12*d*t**2 + 884*d wrt t.\nAnswer: -888*d*t - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1118*k**4 - 77*k**3 + 9*k + 508 wrt k?\nAnswer: 13416*k**2 - 462*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/1427 (b) 1036 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17290 divided by -8645?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppuppupp.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012691 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-24)*(-24)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306287.\nAnswer: 53, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19795.5789 rounded to the nearest 100?\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 345380500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0 + 42. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 848327.\nAnswer: 61, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5467 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 6\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282458 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 190, 419, 730, 1117?\n\"Answer: -f**3 + 50*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p\/p**6)))\/(p*(p*p**(-2\/7))\/p)*(p\/p**0*p)**(2\/27)*((p**(1\/2))**(-39))**29 assuming p is positive.\nAnswer: p**(-215485\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.2, 0, 4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 + -284. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 915 + 13*u**2 + 10*u - 14*u**2 - 907. Calculate r(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/120 - l**5\/15 - l**4\/6 - l**2. Find y such that b(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 12015?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1076 - 337 - 3170 - 2*u)*(0 + 3 - 1) to b + w*u and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (7 + (-9 - -4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2279582 is divided by 1139213.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -782632523 plus 5?\nAnswer: -782632518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*j - 5108 - 274. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**3\/3 + 19*n**2 + n + 174. Let o be r(-38). Solve o = 5*w - f, f = -w - 0*f + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*v + 130 - 400, -5*p + 162 = 3*v. Suppose -r + 1 = 2. Find the common denominator of -1\/3 and v\/4 + -2 + r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a - 18. Let i be r(-10). Solve 2 - 11 = -3*u, -5*d + 4*u - i = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.16 - 10. Let n = -0.16 + t. Put 0.5, n, -2 in descending order.\nAnswer: 0.5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -155*b + 150*b. Sort 5, -0.8, b in decreasing order.\nAnswer: 5, -0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*j = 7*j - 7, -7 = 4*z + 5*j. Let f be 6 - (z - 0) - 2. Let c = f - 0. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1370684 - 2?\nAnswer: 1370682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9587.339km to micrometers.\nAnswer: 9587339000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 21000 = 25098. Suppose -21*x + 296 = -q. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/(-9))\/((-575)\/(-1725))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-114)\/(-54)*(-12784)\/(-2584))\/(4\/18).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8120, -8114, -8104, -8090, -8072, -8050, -8024?\n\"Answer: 2*i**2 - 8122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(144))\/(sqrt(300)*-2 - sqrt(300)).\nAnswer: -sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 129\/(-12) - 2\/8. Let s = k - 9. Calculate the common denominator of -15 and ((-5)\/2)\/(s\/25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2271*a**2 - 34 + 13377*a**2 + 34.\nAnswer: 15648*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -4*m**3 - 94*m**2 + 92*m**2 - 4*m + 3*m**3 - 10. Let v(p) = 3*p**2 + 3*p + 3. Determine -3*o(c) - 4*v(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/11*p + 0 - 2\/11*p**2 - 2\/11*p**3.\nAnswer: -2*p*(p - 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b - 1. Let f(w) = -5*w. Let r(q) = -17*f(q) + 6*j(q). Let s = 264 + -252. Suppose 0 = 4*v + v - 3*z - 39, s = 4*v + 4*z. Give r(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c + c)*(-2*c + 2*c**3 + 2*c) + 1183*c**5 - 1189*c**5 + 5*c + c.\nAnswer: -8*c**5 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1031 + 16*a - 1031)*((-3*a + 5*a - a)*(a + a + 0*a) + 3*a**2 - 6*a**2 + 3 + 2*a**2) in the form g + d*a**3 + w*a**2 + r*a and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.79500005 + 18.766. Let x = u - -0.029. What is x rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-220)\/522 - (-4)\/(-18). Let v = b - 2\/87. Let s = 1.7 + 2.3. What is the third smallest value in 2, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/1898 - 7547\/85410. Let g = 1.5 - 1.6. Which is the closest to -2? (a) m (b) g (c) -1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/2, -3, -0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1 (b) -5 (c) -14 (d) 16\/13 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322.3 + 322. What is the nearest to 0 in d, 71, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 935 and 38318?\nAnswer: 2107490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -334*f = -333*f - 3*a + 13, -2*a + 8 = 0. Let i(t) = 4*t**2 + 9*t + 8. Calculate i(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, -2, -8, -56, 382 in descending order.\nAnswer: 382, 4, 1, -2, -4, -8, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4546890 to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23732 is divided by 746.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -230\/11*z - 36\/11 + 26\/11*z**2.\nAnswer: 2*(z - 9)*(13*z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.710468998 to 1 dp.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331 a factor of 576048488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1844700\/216 - (-1 + -1). Let n = -8539 + d. What is the common denominator of n and -109\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201158618*x**4 + 22919*x**2 - 341?\nAnswer: -4827806832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 307625 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 47 + 17788?\nAnswer: 17846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*a - 294, -a - z + 242 = 3*a. Suppose -2*y = -0*y - 24. What is the highest common factor of a and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166528958 to the power of 1\/3, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 8*i**5\/5 + 23*i**4\/2 - 140*i**3\/3 + 16*i**2 + 279. Solve j(x) = 0.\nAnswer: -8, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*p - 226*p = 354*p + 1016 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (81\/((-9)\/(-3)))\/((-12)\/(-108))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 979*j - 1950. Give n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 74 = 16*g. Solve g*o - 17*o = -39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*n**4 - 6*n**2 + n**4 - 20*n**4 wrt n?\nAnswer: -672*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -20119533738\nAnswer: 20119533740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(3\/(-78))\/(5\/20)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-927)\/2266*121)\/((-1)\/((-8)\/114))?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 + -46. Suppose 6*p + 2 = q. Suppose -j + p = 5*f, f + j - 1 = -0*f. Does f = 3\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/450*5\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 60. Suppose -4*n + 3*g = 41, -5*n - 65 = 5*g + 30. Let v = m + n. What is the remainder when 100 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -7139 (c) 4 (d) -2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379 + -2. Calculate the highest common divisor of 26 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -5\/9 (c) -828808\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 147*b**3 + 4*b**2 + 119*b + 4. Let d(r) = r**2 + r + 1. Let u(j) = -4*d(j) + t(j). Find the second derivative of u(s) wrt s.\nAnswer: 882*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.265 + -825494317931.\nAnswer: -825494317931.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2492 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4\/(-2) + 1). Let s(d) = -a*d**2 - 5*d - 6 + 0*d**2 + 3*d**2. What is the units digit of s(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003109642952 to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 392?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 137.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 11*w + 29)*(-2 - 1 + 2) in the form s*w + v and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -3\/20*g**4 - 69\/5*g**3 + 207\/5*g + 3\/10*g**2 + 261. Suppose m(h) = 0. Calculate h.\nAnswer: -69, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 divided by -546\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k. Let y(q) = -2*q**3 + 7*q**2 - 3*q**3 + 3 - 12*q + 0*q**3. Let h(f) = 4*p(f) + y(f). Is h(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1242 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -b - 13, 2*j + 3*b + 7 = 0. Let w be 3\/2 + 14\/j. What is the highest common divisor of w and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*f + 463968 + 260496 = -66*f. Is f > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 28128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -n - 4. Calculate the greatest common factor of 35 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5)*m*m\/((m**(2\/9)\/m)\/m*m))**(9\/4)\/(m**(-7)\/m**(4\/5)*(m\/m**(-2))\/m**(2\/9)) assuming m is positive.\nAnswer: m**(409\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -6 + (7 - (-1 + -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114c (base 14) to base 15.\nAnswer: d58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 22*h = 28, 0*h + 4*h + 106 - 15 = -5*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 108216905800 to the nearest 1000000.\nAnswer: 108217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-23)*3\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = -7*y - 24. Put -4, 17, y in decreasing order.\nAnswer: 17, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*b + b - b + (-1 + 4 - 1)*(-5*b + b + 2*b) - b + 0 + 0 - 2*b + 3*b + 0*b + (-b + 3*b - b)*(-7 - 1 - 17).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:31 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 6*h + 1416. Let k be 77536\/(-80) - 6\/(-30). Let i = k + h. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1424441021 - -14?\nAnswer: 1424441040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 31. Let c = -4 + 6. Calculate the smallest common multiple of c and x\/6*(-1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 542?\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/3 - (-102)\/9. Let z be (-1 + v)*9\/18. Suppose 9*q - z*q = 24. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 8:17 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 136 times 2.7\nAnswer: 367.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 67. Let m be (-346)\/(-20) + 105\/(-350). What is the highest common divisor of m and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 142813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1027\nAnswer: -3\/1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 58 + (5 - (31 + (-16 - (20 + -20)))).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27874, -27850, -27838, -27844, -27874?\nAnswer: -27934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70590 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x - 1\/3*x**3 - 7 + 15\/2*x**2. Let t(h) be the first derivative of i(h). Differentiate t(o) with respect to o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*p + 1, -4*a - 3 + 23 = 0. Differentiate p + 11*d**3 - 20*d**3 - 24 - 13*d**3 with respect to d.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 2\/11, 1\/2, 8\/27, 0 in increasing order.\nAnswer: -0.27, 0, 2\/11, 8\/27, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 0.218, 4, -5, -18, 4\/9.\nAnswer: -18, -5, -4, 0.218, 4\/9, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.251669 centuries?\nAnswer: 2702.0028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47228333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.7 * 0.11.\nAnswer: 1.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 117084 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*x + x + 4)*(-250 + 250 - 54*x) + 2 - 2 - x**2.\nAnswer: 107*x**2 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 71749617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3605 - 0.1395. What is the fourth smallest value in -4, -0.2, -4\/13, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 20. Let l be h(-9). Suppose 4 = l*x, 4*x + 25 - 111 = -2*g. Calculate the greatest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6282525?\nAnswer: 3, 5, 211, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2780 is divided by 307?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377423.96 minus 24723?\nAnswer: 2352700.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 733*q - 732*q + 2*q**3 - 8*q**3 - 2*q**2 + (2*q - 1 + 1)*(-4*q**2 + 5*q**2 + 0*q**2)*(-2 + 1 - 2) as x + j*q + h*q**3 + o*q**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**4\/6 - 20*m**3\/3 - 99*m**2 - 8*m + 12. What is the first derivative of u(t) wrt t?\nAnswer: 4*t - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.186 and -0.2?\nAnswer: 6.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 242\/170 + (-71)\/(19525\/385)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/588 and 79\/54?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71750 and 389500?\nAnswer: 2726500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 105767*s**2. Let z(m) = 14*m**2. Determine r(z(i)).\nAnswer: 20730332*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k + 3*t - 120, -5*k = 4*t - 307. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/2*(-330)\/385?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-1 - 1) + 2 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.062555 + 27\nAnswer: 27.062555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 3792.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 5*v + 6. Let w be (-1)\/(-3) - (-560)\/21. Let m be 1*9 - w\/9. Calculate h(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*t - 4005 = 186 + 1503 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*(240\/(-9))\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 - (-1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.81 rounded to zero decimal places?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185.91 + -174.91. Let w = 1\/6 + -2\/3. Which is the nearest to 0.1? (a) -2 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146234453992 - -1\nAnswer: -146234453991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p + 2 + 12*p**3 - 13*p**3 - 4*p**2 + 5. Let u be n(-5). Which is the smallest value? (a) 0.2 (b) -1 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6121497? (a) 6\/11 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2227 - -6) + 13 - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 151*w\/4 - 111.\nAnswer: -(w + 3)*(w + 148)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/56*(154\/(-6) - 84\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 3 - -2) + 4. Let j(n) = -19 - 9*n - 10*n + 27 - v. What is j(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 10. Let n be 76\/18 + (-6)\/27. Let s = 1 + n. Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d304b (base 15) in base 12?\nAnswer: -ba1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2) + 7 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 13*g**2 - g - 2. Determine x(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.061\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -7*x + 3*x. Let k = 376 - 417. Let b = x - k. Round b to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -29, -69, -121, -179, -237, -289, -329, -351?\n\"Answer: g**3 - 12*g**2 - 11*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6*m = -4*w - 360015, 0 = -w + 2*m - 89994. Round w to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0 + 0*y**5 + 0*y**3 + 5\/24*y**4 + 0*y - y**2 + 1\/120*y**6. Find the second derivative of q(l) wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027327 - 0.4\nAnswer: -0.372673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 1676612\nAnswer: -9\/119758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {r: 1, y: 4, q: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*3*(-5)\/45.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 583 - 201 - 162 + 35*y - 212.\nAnswer: 35*y + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.032 + 7.168. Let w = -7 + g. Which is the third smallest value? (a) w (b) 0 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(13)*-5 + sqrt(13)*-3 + 1.\nAnswer: -23*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5425471.\nAnswer: 54254710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -530187*g**2. Let r(i) = i**2. Give r(h(c)).\nAnswer: 281098254969*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + c - 3*c = 14, 3*w - 9 = 2*c. Let m be 1 + 3 - ((-120)\/6)\/(-5). Sort 6, w, -2, m in decreasing order.\nAnswer: 6, w, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3055.65 + 2744.684. Let f = 309 + d. Let b = -0.034 + f. Is b at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2 + 0 + sqrt(243))*-6 + 2 + -4)*-1)**2.\nAnswer: 54432*sqrt(3) + 321984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, t: 1, c: 1, y: 2, p: 2}. Give prob of picking 1 p, 1 s, and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 35*c**2 + 14*c - 135. Calculate n(-3).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, -1\/57 in descending order.\nAnswer: 3, -1\/57, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 29*c - 394. What is the remainder when p(17) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-984)\/2009*2\/(-8)*-42 - -7\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2478804789 to the power of 1\/2, to the nearest integer?\nAnswer: 49788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d**(-9)\/d))\/d**(-2\/5))\/(d\/(d\/((d**(-5\/4)*d)\/d))*d*d**10))**9 assuming d is positive.\nAnswer: d**(477\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 699, 783, 867?\n\"Answer: 84*p + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69927?\nAnswer: 3, 11, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + l, -5*l + 3*l + 8 = 0. Sort k, 0, -18.\nAnswer: -18, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3221*l + 3273*l = 988 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50674590 or 4\/5?\nAnswer: 50674590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205705007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -30. Solve 4*i = -2*r + 24, 1 = 4*r - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b + 0*b**3 + 0*b**3 + 4*b**3 + 0*b.\nAnswer: 4*b**3 + 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 2*y**2 + y. Let j be b(2). Let p(v) = 7*v + 2. What is the tens digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 + 223825*f + 223820 = 0?\nAnswer: -44764, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/17 - 148*f**2\/17 - 35776*f + 145316608\/17.\nAnswer: 2*(f - 344)**2*(f + 614)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y - 3*y)*(0 + 2 + 3) as v + d*y and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*(sqrt(396) - (sqrt(396)*-2 - sqrt(396))))**2 - (0 + sqrt(176))*3).\nAnswer: -12*sqrt(11) + 101377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-28 - (-25 - -7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -415, 0, -28 in decreasing order.\nAnswer: 3, 2, 0, -28, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1963*w + 2076*w - 118*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53510 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -1 - (11 - -113 - 94).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5613487*m**2*s**2 - 2*m**2 + 2*m*s**2 + 24838*m*s - 2*s**2 + 1 wrt m?\nAnswer: -11226974*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5969 + f**2 - 2*f**2 + 5969.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = 2*g - 135. Let s(u) be the third derivative of 0*u + 1\/12*u**5 + 1\/120*u**6 - 1\/24*u**4 - 1\/6*u**3 - u**2 + 0. Determine s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = 5*z. Let x = 122 + -188. Let y be (-8)\/6*(-9)\/x. Which is the smallest value? (a) 2 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.323 less than -1.65?\nAnswer: -1.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -147 and 5451.8?\nAnswer: -801414.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1115, -1116, -1113, -1106, -1095, -1080, -1061?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4128 is divided by 343.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 - -98.5. Let o = 2.5 - 7.5. Which is the smallest value? (a) p (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 24. Let a = 23 - f. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.052 - -2.948. What is the nearest to -1\/3 in k, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 47398 + 94796 - 47398. Let v(i) = 21*i**2 + 3*i**2 + 2*i**2. Determine v(f(n)).\nAnswer: 234*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67823863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 + 2*x - 3. Let l be (-34)\/(-323) + 78\/(-19). What is f(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -5 - (-5 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1149395 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {u: 5, f: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24305486 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 39 - 41 + 23 = -4*t, 0 = -t - y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 2183202.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 2*h + 2*d - 187, 2*h + 5*d = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 19*q**2 + 58*q + 8. What is a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -180*u + 44*u - 121. Let b be 17 - -2 - 2\/(-2). Let i = -35 + b. Does u = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 12*n**2 + 14*n + 18. Let k be g(-13). Solve 0 = -k*d + 4*c - c + 17, -7 = -3*d + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10769187, -10769177, -10769143, -10769073, -10768955, -10768777, -10768527?\nAnswer: -10768193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1265 by 11.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75521796?\nAnswer: 2, 3, 7, 899069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19909 by -1.\nAnswer: -19909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 72581*0.35\nAnswer: 25403.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42.4354 centuries?\nAnswer: 4243.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 19. Let s = 862 - 859. Suppose s*u - 108 = -h. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:39 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10783 + 43129 - 2*c**3 - 10778 - 10783 - 10785.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128 - 2060*o**2 - 70*o**2 - 260 + 132 to t*o**2 + m + k*o and give t.\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (2*((sqrt(1100) - 2*sqrt(1100)) + 0) + -3 + -4)*-4)**2.\nAnswer: 4800*sqrt(11) + 71300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738046?\nAnswer: 2, 17, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:57 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.427? (a) -5 (b) -2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11*y = 3094. List the prime factors of y.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/851 and 28.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 669970629, 669970628, 669970627?\n\"Answer: -j + 669970630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 182 or 15158\/83?\nAnswer: 15158\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -162. Let l = f - 108. Solve 4*d - 4*h - 2 = 6, l = -5*h + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1324 + -43735\/33. Let q be 4399\/4200 - 4\/14. Let s = 1\/200 + q. Find the common denominator of s and f.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 466*b**3 + 7 - 5 - 200*b**3.\nAnswer: -666*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = -16675 + 17467 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 1213*c**2 + 2*c. Let a(t) = 3*t**2. Determine g(a(h)).\nAnswer: 10917*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203342 - 42?\nAnswer: -1203424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2717 + 1?\nAnswer: -2716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3147403 or -3147392?\nAnswer: -3147403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2. Let y(s) = -1323880*s + 54. Calculate y(t(h)).\nAnswer: 3971640*h**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33912941393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7799909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, -0.9, 0.3, 0, 1\/13?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -607\/23 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*j**2 - 34*j**2 + 280*j - 375*j wrt j?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27549 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 32*s - 114.\nAnswer: 2*(s - 3)*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-20 + 32 + -32)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s**2 - 20*s**2 - 120*s**2 - 18*s**2 - 1 - 121*s**2 to the form x*s + r + o*s**2 and give o.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*x + 80, -5*n = -n - x + 56. Let b be (-57)\/n - 3\/(-15). Differentiate 4*o**b - 1 - 3*o**4 - 1 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266 - 2603\/2. Let a = 3225 - 32357\/10. Find the common denominator of a and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-4)\/(-6))*4. Suppose 0 = -4*k + a + 5, 0 = -k + 5*a + q. Calculate the highest common divisor of 9 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -4*x + y, 2*y = -x + 4*x + 316. Let o = x - -118. Which is the closest to 0? (a) 0.2 (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -410 + 394 + (34 - 0) + -1 + 31.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 3, k: 3, o: 4, s: 5}. Give prob of sequence mu.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(128)*-4 + 2 + 1 + (sqrt(128) - -4*sqrt(128)*3) + 4)**2.\nAnswer: -20834 - 2016*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55612277 by -7.\nAnswer: -7944611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -2440.369.\nAnswer: 4148.6273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = h + 17, 68*d - 111*d = -6*d + 3*h + 187 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 96*q. Let u(j) = -29108*j. Determine w(u(f)).\nAnswer: -2794368*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-45))\/(-4))\/((-17)\/(-170)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*1*sqrt(102) - sqrt(102)))\/(-1*sqrt(18)\/sqrt(108)).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1192 is divided by 436.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*h + 2*p, h = 4*p - 16 + 30. Solve 8 = 20*t - h*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 r when four letters picked without replacement from rsgrgltstlorllt?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)\/((i\/((i**(3\/4)*i)\/i*i))\/i))\/(i\/(i*i\/i**(3\/11))*i**(1\/21)) assuming i is positive.\nAnswer: i**(-9767\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t**(31\/3)\/t)*t**(-14)*t**(6\/13)\/t**(6\/5) assuming t is positive.\nAnswer: t**(-4304\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*r = -28, 7*r + 17 = i + 3*i. Solve i = -1719*u + 1717*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254\/7 at most as big as 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -102, -131, -160?\n\"Answer: -29*t - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4018.025 - 0.0618.\nAnswer: -4018.0868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 6*o - 1. Let m(d) = 22*d - 44 - 31*d**2 - 16*d**2 + 48*d**2. Let p be m(-24). Determine l(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -94. Suppose y*z - z = 5*m - 475, -4*m + 399 = 3*z. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a = 87 - 567 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 759*x + 1906*x + 15818 + 16162 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 1, b: 1, v: 1, j: 1}. What is prob of picking 1 v, 1 b, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 1035 + d - 1654 - 4239 to y*d + h and give h.\nAnswer: -6998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 5*h**2 + 4*h + 8. Let k be p(-5). Let j be 8 - -2*2\/(-4). Let i = j + k. Which is the nearest to -0.1? (a) 0 (b) i (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23290065 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + 0 + 1 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 10) to base 3\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153 - 71. Let t = i + -78. Suppose 0 = -3*f - 3*z + 2235, -6*f + 2237 = -3*f + t*z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 210\/48) + 0\/1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -15.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 49*x**3 + 56*x**2 - 56*x + 56. Let s(p) = p**3 + p**2 - p + 1. Calculate 3*b(o) - 168*s(o).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/280 and 47\/23079.\nAnswer: 923160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 75 + (-30 - -11) + (0 - 0). Calculate the greatest common divisor of 392 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 793, 1591, 2399, 3223, 4069, 4943?\n\"Answer: h**3 - h**2 + 794*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 211849 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*w + 88*w = 59*w - 2176 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 86\/7 - 2\/7. Let m = w + -6. Find the common denominator of (3066\/700)\/(m\/(-5)) and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 642017 and -0.03.\nAnswer: -19260.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 8. Give o(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 14*m**2 - 17*m - 9. Let t be 120\/6*6*1\/(-8). What is v(t)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9134136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0)\/((-4)\/2). Let l = 315 - 311. What is the nearest to q in 0.5, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhjhjypphytptytjjpy. What is prob of sequence tt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 567*a - 18. Let v(u) = u**2 + 140*u - 4. Let i(z) = 2*o(z) - 9*v(z). Solve i(l) = 0 for l.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 a when three letters picked without replacement from cqoaehce?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.11269 * -3.4.\nAnswer: -3.783146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/9 - 19*k**3\/18 - 5*k**2\/6 - 13*k - 21. Factor p(i).\nAnswer: (i - 5)*(4*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 18. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = 11*s - 5*v, 2*v - 15 = 49*s + 5*v - 2*v + 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - t, 24 = 4*u - 2*t + 10. Let f = 1 + u. What is the derivative of 0 + 2*s**f + s**4 + 1 - 6 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541409 is divided by 11045.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1900 is divided by 473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -18*s - 34*s + 1056 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 2. Let h be u(2). Let p(z) = -z**2 - 2*z - 1. Let w be p(-1). Solve w = h*f + f + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**2*y + 57873*l**2 - 414*l*y - 6802*y wrt l.\nAnswer: 6*y + 115746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 2*i - 42. Calculate the remainder when 308\/9 - 5\/((-135)\/i) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44209 is divided by 5293?\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*f + 6 - 29*f**3 - 9*f**2 + 49*f + 17*f**3 - 7 in the form g + d*f + i*f**3 + x*f**2 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1a6472 (base 12) to base 4\nAnswer: 1302010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/5 + -7 - 60\/(-2). Suppose -10*l - d*l + 820 = 0. Solve -25 = j - l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r + 2*r)*(0 + 0 - 1)*(-3*r + 3*r + 2*r**2)*(0 + 0 - 1)*(-14844 + 14844 + 285*r).\nAnswer: -1140*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118102 is divided by 59049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 822, 804, 786?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-956)\/(-20) - 2 - 4. Let m = 43 - q. Is m greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - 36*u**2 - 47*u - 53. Let q(h) = h**3 - 12*h**2 - 16*h - 18. Let w(d) = -3*o(d) + 8*q(d). List the prime factors of w(13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1\/(3\/12). Let h be (2\/t)\/((-8)\/(-80)). Let s be 0 + 3 - (2 - 2). Solve 0 = 4*y - 5*k + 35, y - 4 - s = -h*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*v - 71*v**2 - 20*v**3 - 85*v**2 + 61*v**2 - 60*v**2 + 11*v.\nAnswer: -5*v*(v + 8)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -1 (c) -7 (d) 15 (e) 6 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3*q - 1. Let b be m(-5). Let a = b - -14. What is the second derivative of r**3 - r + 3*r**3 - 4*r**a + 4*r**4 wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143303 (base 7) to base 8.\nAnswer: 65706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21040000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 458*d - 9*d**2 - 459*d)*(-3*d**2 - 8*d**2 - 16*d**2).\nAnswer: 189*d**4 + 27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8837*k**2 + 8837*k**2 - 17673*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -25 - 38*(-3111)\/3477.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/4 - 9778851*t\/2 - 9778854.\nAnswer: 3*(t - 6519236)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-52)\/20) + (-17)\/(-5). Suppose 5*j - 2*o = 2702, -2 = c*o + 2. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1253138103 divided by 6\nAnswer: -417712701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 623 and -0.017.\nAnswer: 622.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = o + o - 3, -4*m + o = -15. Suppose -m*r = -47 - 40. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5999, -13104, -20209?\n\"Answer: -7105*a + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-1 + (18010 - -2). Suppose 0 = 5*h + 8990 + o. What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - -173 - 3 - 4) + -1. What is the greatest common divisor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-48) - 267282\/(-7664)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29365 and 511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 1. Let a be k(1). Suppose x + 3*d - 9 = a, 5*x + 3*d - 60 = 0. What are the prime factors of 10 - (1 + x\/(-3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5134\/(-12))\/17 + (-5)\/(6 - 36)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - p**4 - 89 + 0*p**4 + 1 + 94*p + 90 to the form q*p + g*p**3 + h*p**2 + m + s*p**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u**(-1\/5)\/u)*u*u)**(-2\/87)*(u**(-1\/26))**26)**15 assuming u is positive.\nAnswer: u**(-497\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(112)*1)**2.\nAnswer: 40*sqrt(7) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -28*p - 17\/42*p**7 + 0*p**5 + 0*p**4 + 0*p**2 + 0*p**6 + 31\/6*p**3 + 0. Find the second derivative of s(w) wrt w.\nAnswer: -340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941267853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - (-10 - -87))\/(4\/12).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296061565 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24550126, -24550116, -24550106, -24550102, -24550110, -24550136, -24550186, -24550266?\nAnswer: -24550382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p = 0. Suppose 2*y - 3*o = -p*o - 7, -2*y = -4*o + 10. Let c be -1 - -1*(-5)\/(-1). Solve 0 = c*w - y - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g - 8. Let q(d) = -d**3 + 6*d**2 - d. Let m be q(6). Let u(b) = -11 + 2 - b - 3*b - 3*b - b**2. Determine m*u(v) + 7*a(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 331323032 (base 4) to base 8\nAnswer: 757316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/3))**14\/(q*q**(4\/3))**50 assuming q is positive.\nAnswer: q**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 - (-1 - 9)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75661183?\nAnswer: 13, 521, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1248*b**2 + 1. Is j(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13869 - 13869.000006113. Round w to 7 decimal places.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 9, 25, 45, 69?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:05 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 199245 rounded to the nearest one thousand?\nAnswer: 199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17213\/9 - 1913. Let u = 318 + -2547\/8. Which is the closest to -2? (a) 1\/2 (b) j (c) u (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9025790651 less than 0.4?\nAnswer: -9025790650.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30321\/6)\/3*180\/2. Suppose w - 5*x - 121266 = -3*w, -5*w = 5*x - k. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*h + 12, -5*h + y + 10 + 10 = 0. Suppose -5*g - 36 - 14 = -h*s, -3*s + 37 = -4*g. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*y**2 - 550*y**2 + 4*y**3 - 7*y**3 - 610*y**2 + 1 + 2*y**3 as r + x*y**3 + w*y**2 + f*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22772 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 31*a**2 + 120*a + 9. What is f(4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -378, -367, -352, -333?\n\"Answer: 2*a**2 + 5*a - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200*a - 76*a + 45*a)*(-2*a**2 + 5*a**2 - 4*a**2).\nAnswer: 231*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Suppose g = 5*b - 20. Solve a + 9 = b*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -9 + (6 - (-1 + (-9 - -17))) - -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 64*o**2 - 120*o - 10. Let c be i(3). Let u = 588 + -380. Which is bigger: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 150128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*r + 333*v - 332*v, 5*r - 5*v = -10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-34)\/(o*o\/((o**(-12\/5)*o*o)\/o))*o*o**(2\/83)*o*o*o\/(o\/(o\/o**(6\/5))))**(-49) assuming o is positive.\nAnswer: o**(703101\/415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75316.88mg to grams.\nAnswer: 75.31688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + o. Let x(q) = 35*q**4 + 640*q**3 + 3955*q**2 + 8635*q + 2160. Let v(m) = -5*g(m) - x(m). Determine k, given that v(k) = 0.\nAnswer: -6, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6066330 and 110415?\nAnswer: 103127610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*c - 6*c**3 + 2*c**4 + 43*c + 0*c**5 + 2*c**5 - c**2 - c**2.\nAnswer: 2*c*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - x = -28, 2*x = 5*p + 4*x + 19 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -15)*4\/(-6). Let y be (1986\/p)\/(18\/(-48)). Suppose -2*w - y = -4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 5*t**2 - 6*t. Let r be o(3). Put r, 0.2, -1\/6, 0.1 in ascending order.\nAnswer: -1\/6, r, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let n(l) = -7*l + 4. Let i(x) = n(x) + 5*y(x). Let p be i(3). Which is the closest to -0.1? (a) -6\/11 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m + 4. Let i(p) = p**3 - 4*p**2 - 7*p + 15. Let n be i(5). Solve m = -n*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 4.1999974. Round n to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 126. Suppose i = v + 9. Let q = 33 + v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -9*n - 149, -85 = j - 4*j + n. Suppose 77 - 1 = 2*r. What is the remainder when r is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r + 2*r**2 - 3*r**2 - 1 + 0*r**2 + 2*r + r**3. Let t = -3 + 6. What is the units digit of z(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*-2*-1*(sqrt(80) + -1 + -4 - (sqrt(80) + sqrt(80)*-1 + 0))*3)**2.\nAnswer: -144000*sqrt(5) + 378000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72940*f - f**2 - 36472*f - 36468*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + o - 1 + 2*o - o + o + (1 - 1 + 1)*(-4 + 4 + o) - 3*o + 4*o + o + 31*o - 14*o - 13*o to a + v*o and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 216321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + 387 - 684 + 432 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**0*c*(c*(c\/c**(-6))\/c*c)\/c)\/(c**(-2\/7))**(-19\/4))\/(c*((c*c*c**5*c)\/c)\/c*c\/((c**1\/c)\/c))**(-2\/27) assuming c is positive.\nAnswer: c**(349\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*i = -2022 + 1959. Let l(m) be the first derivative of 13*m**5\/120 - m**4\/24 - m**3\/3 + 1. Let r(s) be the third derivative of l(s). What is r(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134214 milligrams in micrograms?\nAnswer: 134.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-45)\/6)\/(4\/(-40)) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1158 and 546474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/45*(504\/(-160) - (-2040)\/850)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/19))**(4\/3)*g**(5\/4)\/(g**36*g) assuming g is positive.\nAnswer: g**(-8087\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (5 + -15 + 19 + -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112457267.9 take away 0.2?\nAnswer: 112457267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**(-2\/27)\/((v**4\/v)\/(v\/(v**11\/v))) assuming v is positive.\nAnswer: v**(-1618\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -56335*r**3 - 3*r**2 - 7*r - 3. What is the thousands digit of j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 77.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -3*b**4\/8 + 4*b**3\/3 + 28*b**2. Let f be t(4). Let q = 32 + f. Solve g - q + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 0, 28, 3, -4, -9.\nAnswer: -9, -4, 0, 3, 28, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10.2. Let h = -86.6 - -86.1. Which is the closest to 2? (a) h (b) 26 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 48351.\nAnswer: -4\/48351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {b: 7, x: 3, y: 3, r: 6}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-168)\/(-3752))\/(524\/1670). Let u = b + 33\/262. Is u equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 5:47 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.172 - 4.772. Which is the closest to 3? (a) 4 (b) -4\/19 (c) 5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 7*s**2 + 102*s - 715. Let h be a(11). Calculate the highest common factor of h and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*i - 97 - 254 = 42. Solve 2*p - 4*f - 2 = 0, i*p + 3*f = 7*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 376 + 40 = 0. Let b be (2\/4)\/(42\/g). Which is smaller: -1\/6 or b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*c**3 + 25345932*c**2 + 31682436*c + 6336488 = 0. Calculate c.\nAnswer: -1, -1\/4, 1584122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**3*s**2 - 120*o**3 + 6*o**2 - 3906195*o*s**2 + 359*o with respect to s.\nAnswer: -6*o**3*s - 7812390*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-24))\/(3\/(-12))*18\/(-75)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 19 = -5*b, -f = 5*b - 4*b - 7. Let t = b + 8. Suppose 0 = 3*w - 2*c - t, -5*c = -w - 3*w + 22. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7385596 by 4.\nAnswer: -1846399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8382 and 2535174?\nAnswer: 27886914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from hfvvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68692.086 + -68789. Let j = l + -1.386. Let v = j - -98. Which is the nearest to -1? (a) 5\/3 (b) -5\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 723*n**2 - 365*n**2 - 355*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 101212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 7\/(7\/4). Suppose 0*h = s*h - 4. Suppose -21*w**h - 4*w**3 + 9*w**2 - 12*w**3 + 16*w + 16 - 4*w**4 = 0. Calculate w.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101033525*p - 59912763 wrt p.\nAnswer: 101033525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4351 - 11019 = 10*p. Let o = p - -2460. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. What is the least common multiple of (3\/(-2))\/((-3)\/20) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1358*w - 1359*w - 5*u - 5, 3*w - 4*u = 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 199\/5?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0442 or 250?\nAnswer: -0.0442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7876237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-35))\/((-35649)\/2380 + 15)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 0.2 (c) 0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -253325 (base 7) in base 4?\nAnswer: -23123132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 15. Suppose 0 = -2*h + z*b + 10, 2*h + 4*b - 26 = -b. Let d(g) = -g**2 + 14*g - 18. Is 15 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 3, z: 2, p: 1}. Give prob of sequence pzx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -12*t + 9*t. Let k = t - -3. Let c = -2 - k. Solve -5*w = 4 + c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334421253 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/((-112)\/49)*(-5 + -1). Suppose -39*i - d = -46*i. Let x(s) = s**2 + 1. Let q(c) = 5*c**2 - 2*c - 3. What is i*x(y) - q(y)?\nAnswer: -2*y**2 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2380942 and -61\/2090878?\nAnswer: 411902966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3275048851523 from -2.\nAnswer: -3275048851525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.39 + -0.11. What is the nearest to 0.1 in a, 2\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*d - 2*v = -79*d - 28391, d + v = 28392. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 2:37 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 14*j + 11. Let b be z(-10). Suppose -2*n = -7*n + 5*g - 2215, 2*n + 3*g + b = 0. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 39037383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - -6)*(-2)\/(-55). Let o = 2.4759 + 0.5241. What is the nearest to 0 in 2\/3, v, 2, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -8*y - 5. Let l(s) = 13*s + 17. Let n(g) = -6. Let x(j) = -2*j - 13. Let z(u) = -5*n(u) + 3*x(u). Let c(q) = -3*l(q) - 5*z(q). Give 5*c(i) - 6*v(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 27*c + 248. Let n be f(-9). Sort 2\/5, 2\/13, 2\/3, n.\nAnswer: 2\/13, 2\/5, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -292.4 and -0.73.\nAnswer: -293.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 369 in -0.91, 19, 0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7835 - 31358 - 2*i**3 + 7836 + 7849 + 7838.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/49584 and 29\/528?\nAnswer: 545424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 2. Let z be s(-4). Let b(n) = 3*n - 4*n + 2 - 2*n + 2*n. Let g(y) = y - 2. Calculate z*b(h) + 5*g(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 - 5*p + 3. Let s be a(5). Find the second derivative of -9*c**s + 7*c**3 + c**3 + 2*c wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 - 8*a - 5. Suppose 0 = -14*v + 11*v - 9. Let s be -3*((-12)\/(-4))\/v + 3. What is n(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*z**2 + 3470 + 1209*z**2 - 125 - 636*z**2.\nAnswer: z**2 + 3345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, k: 2, x: 1, g: 1}. Give prob of picking 2 k.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s - 2. Let x be j(-4). Let w be (4\/x*(-6)\/(-8))\/1. Which is the second smallest value? (a) 0 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187689*c - 187689*c + 68*c**3.\nAnswer: 68*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 11:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27049.4 plus 2.7866044?\nAnswer: 27052.1866044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39583039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4130*w**2 - 549 + 2132*w**2 + 2131*w**2 + 549.\nAnswer: 133*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-180)*2)\/((-1)\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 53?\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 670262020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.03721kg in grams?\nAnswer: 44037.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8993 - 8946.11. Round o to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/13 + 496*g\/13 - 10146\/13.\nAnswer: 2*(g - 19)*(g + 267)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/26 in 1\/46, 2\/3, 0.1, -25, 8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28998 by 537.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 + 11*c + 8. Let k be h(6). What is the first derivative of w - w**k - 9*w + 8*w + 1 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 48. Let t = 7 + w. Find the third derivative of t*p**2 + 7*p**3 + p**3 + 11*p**2 wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 235.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*l**2*n**2 - 320344*l**2 + 86395808*n**2 wrt l?\nAnswer: -32*l*n**2 - 640688*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x, -58*d + 61*d + 3*x - 2067 = 0. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*w**2 + 37 - 43\/6*w.\nAnswer: (w - 37)*(w - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 542 + -535. Put 1\/3, w, -5 in descending order.\nAnswer: w, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:27 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3794185?\nAnswer: 5, 758837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 21 = -9. Suppose -33 - 22 = -v - 4*p, -4*p - 85 = -3*v. Solve 5*x = -2*o - v, -s*o = 4*x + 24 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 150\/655003 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 0*v = h - 12, -4*h + 48 = -4*v. Calculate the greatest common factor of 717 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u. Let k(j) = 3*j - 4*j + 29*j. Let m(w) = -w**3 - 16*w**2 - w - 17. Let i be m(-16). Let d(t) = i*k(t) - 24*c(t). Let g(a) = -a. Give d(g(s)).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a millisecond in microseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t**(-2\/9))\/((t\/t**5)\/(t*t**(-8)\/t)))\/(t**(-4)\/t*t*t*t*(t\/t**(-1\/3)*t)\/t)**(-1\/60) assuming t is positive.\nAnswer: t**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u + 4*g = 43*u + 12*g + 25, 0 + 5 = u + 5*g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -20*f**2 - 620*f + 6. What is the lowest common multiple of 6532 and p(-31)?\nAnswer: 19596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-229)\/11 - (-62)\/(-341))\/(-1 - 2). Solve 3*a + 2*c = g*a - 2, -a - 5 = 5*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 3. Let x be d(0). Let a(k) = k**2 - 2*k. Let l be a(x). What is the derivative of 2 + u**3 + 0 - 5*u**l - 5 wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -5 + (-12 - -4) + 6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ab17 - -4348?\nAnswer: 41061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(-2\/31)*z**(-3)\/z*z**(-7) assuming z is positive.\nAnswer: z**(-337\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 5779 = -75. What is the nearest to 0 in 0.3, 3, -2, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6124110 is divided by 437436.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1134067411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 14*r + 33. Let g be p(-10). Let y = g - -56. Is 23 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*s - 42*s + 24. What is the second derivative of -4*z - z**4 + z**s - 31*z**5 - 4*z**5 + 3 - 43*z**5 wrt z?\nAnswer: -1560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2742 and 10.\nAnswer: 13710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1671, -216, 5, 4.\nAnswer: -1671, -216, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -221? (a) 95.4 (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -35217, -70699, -106181, -141663, -177145?\n\"Answer: -35482*s + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*l + 2*p + 8, -5*l = 3*p - 87. Suppose -1 = 3*b - 16. Suppose -b*z + l = -2*z. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/6 + 2*g**3\/3 + 3*g**2 + g + 7. Factor i(q).\nAnswer: -2*(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-5)\/p)*p)**(-7\/4) assuming p is positive.\nAnswer: p**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + -1)\/5 + 7\/(-1). Let f be ((32808\/(-32))\/((-2)\/u))\/(-1). Suppose 5*l + 0*l + 3*i - 4073 = 0, -f = -5*l + 4*i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -1) + (-5 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-18))\/(-5)*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 7. Let n(y) = -y. Let u(i) = -2 + 2*i - 2 + 4. Determine j*n(p) + 2*u(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 35*n + n - 2.\nAnswer: -58*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**11*x))\/(x\/(x*x**(10\/3)*x)))\/(x*x*x*x**(2\/17)\/x*x*x\/x**(2\/99)) assuming x is positive.\nAnswer: x**(-19799\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/6*g**2 + 1\/2*g**3 + 22\/3*g + 2.\nAnswer: (g + 2)*(g + 6)*(3*g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18083*r + 18139*r + 6*r**2 - 36285*r)*(-r**3 + 3*r**3 - 5*r**3).\nAnswer: -18*r**5 + 189*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 15, n: 5}. Give prob of picking 4 n.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (16 + -16)) + 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 177514921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:03 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(5\/8)*b**(-10\/3) assuming b is positive.\nAnswer: b**(-65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101785773289\/23462220 + -255\/391037. Let s = g - -81591\/20. Let h = 8441 - s. What is the common denominator of h and 119\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {g: 5, i: 1, s: 10, w: 1, o: 2, a: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**4 + 2*o**2 - 1 - 17\/5*o**5 + 0*o**3 + 0*o - 5\/8*o**6. What is the third derivative of p(d) wrt d?\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11880 and 7560?\nAnswer: 83160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 426773565 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) + (sqrt(7) - 2*sqrt(7)*4)) + (sqrt(7) - sqrt(84)\/(-1*sqrt(12)) - (sqrt(7) + (sqrt(7) + 1)**2*1)).\nAnswer: -8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbbaabobaobbaooaooo. Give prob of picking 3 b and 1 o.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + o - 5*o - 28, 4*b = o + 25. Let a(i) = i**2 - 7*i + 4. Determine a(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/(-400)*(-10)\/(-14)*98.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + 1 + (0\/(-1))\/1. Suppose -2*q - 2 = -s. Suppose 0 = -4*a + 17 + 3. Solve -a*w - 17 = 5*g + q, 0 = w - 2*g - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2578*q + 694*q - 758 + 758)*(4 - 2*q**2 - 4) to the form c*q**3 + f*q + j*q**2 + b and give c.\nAnswer: 3768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w = -28*w - 279 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-3.75269.\nAnswer: 22.51614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -10934.\nAnswer: 83\/10934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12342.5 - 12342. Let l = -0.7 - -7.7. Which is the biggest value? (a) l (b) i (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 2*k**4\/3 - 2*k**3\/3 + 2*k**2 - 74*k. Let y be (-1 - -6)*2\/5. Is v(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -788\/17 + 390\/17*s + 2\/17*s**2.\nAnswer: 2*(s - 2)*(s + 197)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**3 - 6*c**2 - 7*c - 311. Let n(y) = 9*y**3 - 5*y**2 - 6*y - 313. Let r(d) = -6*n(d) + 5*o(d). Differentiate r(f) with respect to f.\nAnswer: 3*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3528050 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + y - 50. Let w(d) = 3*d**2 + d - 49. Calculate -4*c(g) + 5*w(g).\nAnswer: -g**2 + g - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -13. Calculate the lowest common multiple of (5\/15 - 13\/12)*-16 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*x*y**3 - 2*x*y**2 + 4555*x*y - 5*x + 875359*y**3 wrt x.\nAnswer: 3*y**3 - 2*y**2 + 4555*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 6*c - 4. Let q be i(-5). Suppose 0 = -2*d + q + 27. Let f be (4\/(-2) - 0)*-28. Calculate the highest common divisor of d and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 1.4999998059. Round a to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6752561 rounded to the nearest ten thousand?\nAnswer: 6750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4, -4*y + 0*n = 3*n + 2006. What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 19) + (-1 - 63)\/(1273\/76 + -14).\nAnswer: -102\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733437699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90324 and 37512252?\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8211 is divided by 483?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 18353482.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 6668414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 9*k + 28. Let u be l(-3). Let p be (-3)\/5 - 392\/(-20). Is p smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*n**3 - 282*n**3 + 736*n - 736*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*169737.\nAnswer: -6789.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 95059 = 57695. What is x rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10.46143473*2\nAnswer: 20.92286946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g**4 + g)*(-3 + 2 + 2)*(2 + 0 + 0 + 4 + 3 - 3 - 2 + 0 + 4 + (-4 + 2 + 0)*(0 + 2 + 0)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(-22)\/w))\/w)**34*(w**(-1\/39)\/w*w)**(-1\/6))**(2\/99) assuming w is positive.\nAnswer: w**(182989\/11583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260698*-0.1.\nAnswer: -26069.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4 + (-2 - 3 + 3)*(2 + 5 - 5))*(3*k - 4*k - 2 + 0*k).\nAnswer: 6*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 19 = 37*f - 39*f, 40 = -5*l + 5*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2139117 rounded to 3 dps?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -830 - t + 371 - 40*t**2 + 386 to the form p + r*t**2 + x*t and give p.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1011, -3773, -11263, -25845, -49883?\n\"Answer: -394*u**3 - 4*u - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*b - 10, -3*b - w - 2*w = -6. Solve -3*q + 5*c = -b, q - 24 = -4*q - 2*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3270*s - 4*q = 3274*s - 156, -14*q + 84 = 3*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-308)\/98*(-4)\/22?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668520 divided by -3.\nAnswer: -222840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**5 + a**5 + a**5 + (-1 + 1 - a**3)*(-a**2 + 2*a**2 - 3*a**2) - 6*a**5 + 8*a**5 + a**5.\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18226487017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*d - d**3 + 853*d - 210*d - 220*d - 210*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -6\/1597, 5, -147 in ascending order.\nAnswer: -147, -6\/1597, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 17. Let r(s) be the second derivative of 0*s**2 + s - 2\/3*s**3 - 1\/5*s**5 - 1\/3*s**4 + 0. Let v(q) = q**3 + q**2 + q. What is a*v(f) - 2*r(f)?\nAnswer: -f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 438.468 millilitres to litres.\nAnswer: 0.438468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -38. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3611*i**5 + 3105*i**2?\nAnswer: 216660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (-28)\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-312))\/((-1)\/(20\/210))?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -119, -144, -145, -122, -75, -4?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Suppose 3 = 5*x - 2. Solve 4*g + 5 = -3*t - x, -d*g + 2 = -t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.331 - -132.331. Let f = -144.7 + z. Let y = f + 13.33. What is y rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7617 and -32\/2287639.\nAnswer: 6862917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-7) + (0 - 1). Let f(d) = -2*d**q - 9 + 5*d + d**2 + 7 + 0. Determine f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156.488 - -156.43. What is the closest to 10 in -0.3, b, -0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1673.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -165. What is the remainder when y is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235852.098 + 25.8?\nAnswer: 235877.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580*z - 70*z + 4779 = -119*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(272)*2 - sqrt(272))**2 + (2 + sqrt(272) + sqrt(272))*-1 + 3.\nAnswer: -8*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (2 - (-335)\/(-2)). Is u not equal to 159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s - 673 = -10 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(-77) + (-12)\/66*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, -146, -860, -1846, -3098, -4610, -6376?\nAnswer: -8390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6 + 1 + 1 - 5 + 16*o. Let t be g(-2). Let w = t - -364. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 34 + r + 79005*r**3 + 64 - 2*r**2.\nAnswer: 79005*r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 48*p - 4*t = 1483, 2*t = 2*p - 596. Solve 0 = p*h - 271*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235305.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1003736, 2007486, 3011298, 4015202, 5019228, 6023406, 7027766, 8032338?\n\"Answer: 5*s**3 + s**2 + 1003712*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 12*3\/(-30)*(-205)\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -822.468 - -829. Let l = -104.572 - -105. Let o = i + l. Round o to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*1 - sqrt(1377))**2 + 4 + -4 + -1*sqrt(17) + (sqrt(153) - ((sqrt(153) - sqrt(153)*1 - sqrt(153)) + sqrt(153)))\/sqrt(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 4*sqrt(66)\/sqrt(6) + sqrt(121)\/(sqrt(99)\/sqrt(225)))**2 + -5)*-3*-5.\nAnswer: 540*sqrt(11) + 13350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 1025 = -995. Let q(p) = -p - 1. Let o be q(-3). Let a(f) = 3*f - 3*f - f**o + 5 + f + 2*f. Give a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165959821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -22, 4445 in decreasing order.\nAnswer: 4445, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/11)\/a*a)\/(a*a**(-13)))\/(((a*a*(a**(2\/67)*a)\/a*a)\/a)\/a*a)**(5\/6) assuming a is positive.\nAnswer: a**(22993\/2211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 5*t**2 + 8*t + 15. Suppose 2*u - 15 = -2*p - 3*p, 0 = -5*u. Calculate the remainder when g(-6) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (156 - -7) + (-112)\/16. Let y be 13\/2*(-2 + 6). Calculate the highest common divisor of n and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/840360 and 137\/42.\nAnswer: 5882520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apqyapou. What is prob of picking 1 o and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 101. Let o = 1 - 0.94. Let j = 0.56 - o. Sort r, 1\/4, j in decreasing order.\nAnswer: r, j, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o + 49. Let j(k) = 19*k**2 + 10*k + 19. Let b be j(o). Is (-8)\/5*b\/(-42) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*y + 5*s, y - 2*y = -3*s. Let f = y + 39. Let u = 60 - f. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20961890.\nAnswer: 2, 5, 31, 67619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 10000010111000?\nAnswer: 10000010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8001 and 889.\nAnswer: 8001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*a - 5. Suppose -4*z = -x + 53, -2*z + a - 4 = 0. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 91 = 249. Calculate the remainder when x is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/20 - -1\/5. Which is the closest to m? (a) 1 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1 (c) -1\/13 (d) -1\/9 (e) -6 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 52408441.\nAnswer: -5\/52408441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4346 + 90 = 594*q - 13384 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 40*g + 185. Calculate l(-7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, -92, -302, -544, -812, -1100?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 33*l - 148.\nAnswer: (l - 37)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2)*5.\nAnswer: -10 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*g = 250*g + 40 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 7*k**4\/24 - 421*k**2. Let m(j) = j - 1. Calculate 4*m(c) - z(c).\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 51, 52, 53, 54?\n\"Answer: q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 163 - 259 + 7*f - f**2 + 143. Let y be l(11). Solve -y*c = 2*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 + 36*l - 35. Let k(n) = -n**3 - 14*n**2 - 17*n - 51. Let d be k(-13). Determine c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1219\nAnswer: -3657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 8) in base 4?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2687, -5383, -8079, -10775, -13471, -16167?\nAnswer: -18863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.716170185 rounded to two dps?\nAnswer: -9.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*m + 715*m + 268*m.\nAnswer: 805*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -12661 at most as big as -88622\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519431.9 tonnes to nanograms.\nAnswer: 519431900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 45*b - 22. Let w be s(-16). Put 0.6, 4, w in ascending order.\nAnswer: 0.6, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*p - m, 5 = -9*p + 8*p + 5*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, b: 3, z: 7}. What is prob of picking 2 z?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26503 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9 + 3 + 195*d + 20 - 187*d. Let m(k) = -23*k. What is y(m(x))?\nAnswer: -184*x + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -574*k + 316807 + 2084*k - 316807 to the form h + b*k and give b.\nAnswer: 1510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.64889ml to litres.\nAnswer: 0.09964889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 13 = -4*y - 5*h, -2*y = 5*h - 8. Suppose 72 = 2*q + y. Let v = q - 24. Solve s = -v*c + 29, 0 = -2*s - 2*c - 1 + 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c, 2*z + 2*z - 20 = 2*c. Let w = 0.10409 + 476.79591. Let b = -477 + w. What is the closest to z in 4\/7, 0.2, b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 738 + -737.6. Let o = -3 + 11\/4. Which is the closest to -1\/4? (a) y (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7706147 to two decimal places.\nAnswer: -2.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 30734484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50 - 2 + 9)*(o + 2*o - 2*o).\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/10 + 56\/(-10). Let w(l) = -27 + 101*l - 17 - 6 + 11 - 8. Let k(i) = 34*i - 16. Let u(n) = p*w(n) + 17*k(n). What is the derivative of u(j) wrt j?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.344 times 0.16\nAnswer: -1.17504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9}. Give prob of picking 4 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/15, 5\/4, -0.4, -2\/9?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = q - 7130, -17*c + 7126 = -13*c + 3*q. Is 50 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:29 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.627 rounded to one dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*(1*sqrt(832)*-5 + sqrt(832)) + -4)**2 + -3)*-1.\nAnswer: -13326 + 256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 59. Let w be c(10). Let x = 70 - w. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12468*n**2 + 164103?\nAnswer: 24936*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16 and (-394)\/224 + 5\/(-30)*-6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 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 g = -0.21 - -2.61. Which is bigger: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 1, n: 1, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 - 165*d**2 + 165*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 343 (b) 814 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103.72 + -93. What is x rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcwwwwcwcc. Give prob of picking 4 c.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 316*a**2 - 624*a.\nAnswer: -2*a*(a + 2)*(a + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292626.6 rounded to the nearest 10000?\nAnswer: 1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -99*k**5\/20 - k**4\/2 + k**3 - 92*k - 1. What is the third derivative of t(u) wrt u?\nAnswer: -594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11584 - -19384. What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 3\/2, -14, -0.4, -1, 765?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -802d2 - -4e?\nAnswer: -80283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 93? (a) 43 (b) -28 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 1 + 1)*(-18 + 2*g**2 + 18) + (0*g - g + 0*g)*(2*g**3 - 5*g**3 + g**3) - g + g + 8*g**4.\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292705960 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/7 of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629 a factor of 40308041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 66 = -4*m, 71 = 5*z - m + 2*m. Let x = z - 11. Let i(y) = y**2 - 4*y + 4. What is the units digit of i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -282 - -281. Let s = 212 - 209. Let r = -4.12 - -0.12. Which is the nearest to z? (a) -5\/2 (b) s (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as 1018178057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = -5*t. Let j be (-4)\/t*(3 + 48). What is the greatest common divisor of 255 and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -1\/60*r**4 + 0*r + 3*r**2 + 0*r**6 - 2\/525*r**7 + 0*r**3 + 1\/840*r**8 + 1\/75*r**5 + 0. Factor p(z).\nAnswer: 2*z*(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.262 and 294.\nAnswer: 293.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 8:51 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 5. Suppose 1 = -6*h - 11. Sort u, -0.3, h in ascending order.\nAnswer: h, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3. Let z be 12\/90 + (-26)\/(-30). Put -2, 0, z, r in decreasing order.\nAnswer: z, 0, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (6 - 2 - 11) - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -1 (b) -1\/3 (c) -4\/5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from {e: 1, r: 5, j: 7}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 7*h + 19. Let p(r) = -r**3 + 19*r**2 - r + 15. Let d be p(h). Is d\/(-14) + (-2 - (-11266)\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*v - 18 = 0, -9*v = -4113*q + 4108*q - 66 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 + 2*y**2 - 12. Let k(a) = -a**2 + 2. What is -f(q) - 2*k(q)?\nAnswer: -2*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382000863*u**2 + 395426220*u wrt u.\nAnswer: -764001726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (230\/6)\/(7\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264*j - 440*j + 288*j as d*j + h and give d.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1542? (a) 0 (b) -3 (c) 0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3449804.\nAnswer: 2, 31, 43, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-70)*(5425\/62)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 2*y - 90 = 0. Solve -3 = -3*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 2655*m**3 + 4*m**2 + 5311*m**3 - 2660*m**3.\nAnswer: -4*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hisitstiisihthiiish. What is prob of picking 1 h, 1 s, and 1 i?\nAnswer: 128\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*h - 3*h - 5*w, 4*h - 4*w = 92. Find the common denominator of (-12)\/(-3)*(-106)\/64 and 158\/(-40) - (-5)\/h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*0\/(-2))\/2)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -241, -2, 1, -194 in decreasing order.\nAnswer: 1, -2, -194, -241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 10 = 11*d, -5*d = -3*b + 442. Let y be (-5)\/6 - (-120)\/b. Solve -3*x - x - 12 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1707, 14396, 48819, 115842, 226331, 391152, 621171, 927254?\n\"Answer: 1811*a**3 + a**2 + 9*a - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/60 - (-2)\/8. Let k = 5.1 - 1.1. What is the second smallest value in o, k, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2110214 - -34?\nAnswer: -2110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9926048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19815, 19906, 20061, 20280?\nAnswer: 20563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 5*v + 2. Let t be g(-2). Is (-2 + 1 - t) + 184 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61528641?\nAnswer: 3, 20509547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*-2.24.\nAnswer: 4.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 8 = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757349327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, c: 12, n: 2}. What is prob of picking 3 p?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2532, -5063, -7592, -10119, -12644, -15167?\n\"Answer: c**2 - 2534*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/72*-6 + (-86)\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-7))\/3)\/(14 + -13).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, z: 3, s: 7}. What is prob of picking 2 s and 2 z?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 18*p**2 + p - 19. Let u be s(18). Let a be ((-4045)\/(-20))\/(0 + u\/(-4)). Let c = a - 468. What is the highest common factor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16191)\/(-25186))\/(((48\/63)\/4)\/(14\/63))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 5 - 5*z**5 - 4*z**5 + 10*z**5 - z**3. What is the third derivative of p(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 2*i. Suppose 4*k - 624 = -2*h - h, -615 = -i*h - k. Suppose 17*z - h = 14*z. What is the highest common divisor of 17 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 29. Let z = 74 + a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 250, 201, 134, 43, -78?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 33. Let d = -16 + k. Let t = 2.0024 - 0.0024. Sort d, t, 0.2.\nAnswer: d, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*d - 125067220 - 72*d + 125067220.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(288) + -1 + sqrt(8))*2.\nAnswer: -2 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/12 - 2*u**3\/3 - 2*u**2. Let x be z(3). Suppose -114*t = 204 + 24. What is the closest to -10 in 3, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 170*k - 2035. Let r be g(12). Calculate the greatest common factor of 5815 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3678380 and 8640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 7*p**2 + 11*p + 15. Let y be k(-5). Solve 0*v + v - 18 = -4*t, 5*v = -y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 15) to base 13.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*r - 2*c + c, -5*r = -c - 25. Suppose 5*y - r = 3*y. Suppose -3*v - y*v + 90 = 0. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 2\/(2\/3). Let h = -40.032 + 40. Let j = h + -0.268. Which is the third smallest value? (a) -2\/7 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25 + 46c5b?\nAnswer: 46c36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + -5 + 1 + sqrt(180) + sqrt(180) + 1 + 3 + 5*-2*sqrt(180)))**2.\nAnswer: -4320*sqrt(5) + 103905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8*c = 14. Suppose -2 = c*d - 4*d. Solve 2 = i + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aaaaaabbnlaalbaaaab.\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 2. Let r = 96 + -92. Let v(w) = 7*w**2 - 5. Let q(a) = r*v(a) + 10*n(a). Let y(g) = -g**2. Calculate q(y(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 114.76\nAnswer: 459.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -467*p**4 + 212*p**3 - 59374.\nAnswer: -1868*p**3 + 636*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 830 - 725. Solve 0 = 12*q - 93 + x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, 1 l, and 1 g when four letters picked without replacement from oojoogljjyjlojolllj?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10.11 or 4\/831?\nAnswer: 4\/831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a + 877. Is u(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 4. Let r be s(5). Let y = -8638 + 8638. Suppose -r*m + 192 + 132 = y. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 0*w - 2*w - 2*w + 5*w + 9. Let c be x(-7). Find the second derivative of 51*n**3 - 51*n**3 + 2*n + 2*n**4 + c*n wrt n.\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (-3 + -8 + 4 - -16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 90, 85, 44, -33, -146, -295?\n\"Answer: -18*f**2 + 85*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 + 2 - -6 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7741*c + 1168806. Determine f(151).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -1\/25*t**5 + 0*t**4 + 1\/5*t**3 + 0*t + 120 - 1\/5*t**2. Factor k(p).\nAnswer: -p*(p - 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - q + 63773, 2*m = -64*q + 68*q + 25496. What is the thousands digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30248.\nAnswer: 2, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85622 and 390823?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 135*k + 1490. Let o be l(-11). Let r = 78 - 309\/4. Which is the third smallest value? (a) r (b) -1\/9 (c) o (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**3 - 4*x + 8. Let g(f) = -2 - 15*f - 3*f**3 - 9 - 4*f**3 + 20*f + 2. Determine 4*g(n) + 5*t(n).\nAnswer: 2*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 - 6*k**2 - 6*k + 6. Let s(f) = -11*f**3 + 13*f**2 + 13*f - 13. Suppose -1094 - 24 = -86*a. What is a*b(x) + 6*s(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -0.1, 0.007, -0.013, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-2664)\/(-30))*4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(6912))**2 + sqrt(48).\nAnswer: 4*sqrt(3) + 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3\/5, -5, -2, 3\/9767, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -4. Suppose 4*k - 4*a = 12 - 32, 4*a = -4*k - 4. Sort k, -1, j in increasing order.\nAnswer: k, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:53 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68 + -5?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 2. Let n(i) = i - 3. Let z = -5 - -37. Let t be -3 - 252\/(-32) - (-4)\/z. Let o = 12 + -8. Give o*n(r) + t*y(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3075 and 53925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a**3 - 3*a**2 + a + 2. Let o be f(-2). Let i = o - 36. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + b + 2. Let c be a(-2). Let k(i) = 25*i - 612. Let j be k(25). Solve -t + 27 = 5*w + 11, 3*w + c*t - j = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -68 and -11340.\nAnswer: 771120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w - 52 + 15*w - 46 + 101)*(0 - 1 - 1).\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*p = -4960 + 84. What is the remainder when p is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 12*o - 14. Is 8 a factor of s(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 7 + 2 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 4. Let i = 26 + -16. Suppose -5*g - i = -30. Let y be h(g). Solve -2*v - 2*c = -4*v + y, -2*v - 4*c + 4 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82532 or -82534?\nAnswer: -82532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/133 - (60\/(-14) + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 23.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 4*s**2 + 4\/3*s**3 - 12*s + 51. Factor p(d).\nAnswer: 4*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:51 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*h - 23. Let j(u) = u**2 + 8*u - 5. Let v be j(-9). Suppose v*y - 27 = -3. Solve -4*p - 4*a - 28 = 0, -2*p + h = -y*p - 3*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 34*c**2 + 2. Let q be d(17). Solve -8*p + 3*p + 3 = q*n, 5*p + 4*n = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.5. Let m = -75 - -301\/4. Which is the smallest value? (a) z (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4946 + -4951. Let n(w) = -2*w**2 - 2*w + 15. What is n(t)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1224 in 0.1, 1, 2, 1\/22, 4?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -111002211202 (base 3) in base 6?\nAnswer: -5310115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + 4*i - 2*v - 12, 6*i + 12 - 34 = 4*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -23*y**2. Let h(a) = -4*a**2 + 2. Calculate g(h(c)).\nAnswer: -368*c**4 + 368*c**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006096624 rounded to 6 dps?\nAnswer: 0.006097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000001 + 111001110001001010011?\nAnswer: 111001110010110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.64058875 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + m)*(0 - 5 + 2) + (-5 + 3 + 1)*(-2*m + 2*m - 2*m) to i*m + o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 393570 and 45.\nAnswer: 393570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Suppose 2*g - 21 = -1. Let s = -6 + g. What is the smallest common multiple of h and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 1 - (-24)\/(-6). Let l(o) = o**3 + 7*o**2 - 4*o. Let n be l(i). Suppose 0 = y + 2*y - n. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 16 - 12. Suppose -b + n*b - 77 = -3*w, -b - 131 = -5*w. Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11541348 and 576?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5201 (base 6) to base 5\nAnswer: 14103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182196680594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/105 and -88\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2889241920?\nAnswer: 2, 3, 5, 334403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.49 - 33.\nAnswer: -32.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 11*h - 50. Let x(y) = y**2 + 5*y + 25. Determine -2*d(v) - 5*x(v).\nAnswer: -v**2 - 3*v - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -5\/6*z**3 + 1\/3*z**4 + 3*z**2 + 1 - 63*z - 1\/2*z**5. Find the second derivative of a(o) wrt o.\nAnswer: -60*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/11 + 9168*q\/11 + 10391328\/11 = 0 for q.\nAnswer: -2532, -2052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t. Suppose -v - 4*d - 1 = -10, 5*v - 2*d - 45 = t. Let l be 2 + (4 - v) - -6. Solve l*n = 2*g - 14, 2*g = -3*n + n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7436 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 230*v**2 + 308*v**2 - 126*v**2 - 140 + 146 to w + j*v + s*v**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 5, q: 1, w: 8}. Give prob of picking 1 j and 1 q.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 924024 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -82*r**2 + 12*r - 11. Let a(t) = 82*t**2 - 12*t + 13. Give -5*a(k) - 6*z(k).\nAnswer: 82*k**2 - 12*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/5)*u)**(-6))**(-28) assuming u is positive.\nAnswer: u**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -296900 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53079232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 40, 68, 96?\n\"Answer: 28*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - -8 - 2\/(-12) and -14\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, -41.\nAnswer: -41, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence baq when three letters picked without replacement from {k: 1, q: 1, a: 2, b: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6539, 12444, 18349?\nAnswer: 24254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/2 + -4 + 0. Suppose n*t + 2*r + 103 = 5*t, -4*t = -2*r - 140. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2 - 27*d - 930. Does 96 divide s(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -3*c - 9. What is the smallest common multiple of c and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/392 and 1\/3969.\nAnswer: 31752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + l + 12, 2*m - 5*l = -3*m. Let h be (-1 - -1) + 2\/m. Suppose 2\/3*t**4 + 0 + 0*t - h*t**2 + 0*t**3 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-498)\/(-420) + -1 + (21\/(-70))\/(-3). Which is the closest to -1? (a) 2.05 (b) 0.6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p - 3 = -5*h, -37 = -2*p - 3*h. Let w = p - 13. Suppose 0*n + 2*n = 3*t - 2, 2*t - 4*n - 4 = 0. Put w, t, 2 in ascending order.\nAnswer: w, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.26203418 rounded to one dp?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 13*g + 4. Let h be d(4). Factor -1\/3*k**4 + 1\/3*k**2 + 0 + 0*k + h*k**3.\nAnswer: -k**2*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Let g = z - -46. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5*q**2 + 6*q + 3. Let i be u(0). Solve b = -i*t - 7, -2*b - 2*t + 2 = -0*t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q - 7. Let c be p(-1). Let b(u) be the first derivative of -2 + 1\/2*u**c - u**3 + 0*u. Find the second derivative of b(f) wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454.8 rounded to the nearest one hundred?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Suppose 0 = -x + 1 + 5. Let s = x + -2. Solve s*u + 6 = v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -43767?\nAnswer: 2\/43767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 15 = -15*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*d + 51*d**2 + 354*d + 360*d + 359*d.\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102.061 + 0.061. Let y = b - -102.00024. What is y rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6853 + -0.8153. What is the second biggest value in 2\/5, 22, 0, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from dzzdzzzizz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -2. Let m = 0 - g. Let a = 7 + m. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1202 - -3?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -35*x**3 + 74*x**2 + 22*x - 11. Let y(k) = 12*k**3 - 25*k**2 - 8*k + 4. Calculate -4*b(u) - 11*y(u).\nAnswer: 8*u**3 - 21*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-375333)\/6)\/((-2)\/4). Suppose 0 = -2*q + 4*s - a - 64873, -4*q - 379992 = -2*s. What is q rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from qqqt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1187, -1176, -1177, -1196, -1239, -1312, -1421?\n\"Answer: -x**3 + 18*x - 1204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32508*k**2 - 5*k - 7*k - 4*k + 16*k.\nAnswer: -32508*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301*x - 1320*x = -91 - 23 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Let q(r) = -75*r + 1. Let h(k) = 13*k - 1. Let w(z) = 6*h(z) + q(z). What is w(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -228841 at most -228893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/3 - 53*s**3\/3 + 103*s**2 - 440*s\/3 - 304\/3 = 0.\nAnswer: -1\/2, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*u**2 + 469*u**4 + 13*u**2 - u + 110*u**2 wrt u.\nAnswer: 11256*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/1410 + 0 + 2\/60?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 3. Let w = y - 7. Let r be (-6)\/3*(-1)\/(-2). Sort r, 3, w in descending order.\nAnswer: 3, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.808297km?\nAnswer: 1808297000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 505 + -504. Let f(r) be the first derivative of -v + 1\/2*r**2 + 0*r. Let h(c) = 16*c**2. What is h(f(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/200 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p + 147. Calculate s(20).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44 and 95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10690004 and 1837.\nAnswer: 117590044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5433017199?\nAnswer: 3, 17, 71, 1500419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1402431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 14?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54 + 303*h + 14 + 21 - 4288*h**3 + 22 wrt h.\nAnswer: -25728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))\/f**(1\/5))\/(f**(1\/2)\/f)**(-38) assuming f is positive.\nAnswer: f**(-647\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 6:49 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 21*u + 8. Calculate the least common multiple of 14 and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1110)\/(-925))\/(24\/(-10)) + (-126)\/(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9819 = 6*j + 9771. Solve g = 2*i - 12, 0*g + j = g + 3*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0\/y)**(-7\/10)\/(y**(1\/2)\/y*y)**(-19))\/((y**(2\/29)\/y*y*y*(y*y*y**(-2\/17))\/y)\/(y*y**(-1)\/y*y)**(4\/9)) assuming y is positive.\nAnswer: y**(20333\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.368 + 0.108. Let b = 11 + u. Let c = b - -0.2623. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 2, p: 1, v: 9}. Give prob of sequence vvvm.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(15\/4)\/q*q**(-4\/9))**23 assuming q is positive.\nAnswer: q**(2737\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/5 + (-2)\/(-5). Solve z*a = 5*a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/4504489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227704 is divided by 409215.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 801493 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**3 - 4*r**2 - 4*r. Let j(v) = v + 1192*v**2 + 2*v - 12*v + 6*v**3 + 4*v**3 - 1201*v**2. Let q = -7 - -3. Determine q*j(f) + 9*m(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 2*u**2 - u**2)*(-9*u**2 + 3*u**3 + 9*u**2) + (3*u**4 - 2 + 2)*(-2*u + u + 2*u).\nAnswer: -6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - 98. Let j = a + 122.0000212. Round j to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -173, -246, -301, -332, -333?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1499.2 + -1498.5053. Let u = 0.0963 + o. Round u to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 9. Let f be v(-4). Suppose 11*l - 28 - 214 = 0. Suppose -3*i = 2*r - 1 - l, 0 = -4*i + f*r + 69. Solve z = 3*a + 5*z + i, -30 = -5*a + 3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**3 - 2*i)*(-46*i**2 + 29*i**2 + 28*i**2).\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3938*i**3 - 3*i**2 - 12*i - 11. What is u(-1)?\nAnswer: -3940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 271250153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -34*q**2 + 32*q + 2 = 0?\nAnswer: -1\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xccx when four letters picked without replacement from {x: 12, c: 6}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*t + 13 = 0, 4*w + 2*t - 26 = -0*t. Solve -w*x + 7 = -1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2452692 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 78 + -28 + 39 + (30 - 1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = 2*a - 21, 2*a - 24 = 3*w. Let s = 1 - w. Let g be s\/(-21) - (-25)\/3. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272602 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32 + 0 - (0 + (-3 - -7)). What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4809.\nAnswer: 3, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from qadqqqqaqaqd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 217, 324, 431, 538?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43523 is divided by 611?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7854028?\nAnswer: 2, 7, 13, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23546172?\nAnswer: 2, 3, 13, 149, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -11.767, -0.3 in decreasing order.\nAnswer: 0.03, -0.3, -11.767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 102*h - 513. Give r(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/120*(-7 - -4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324240704 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 91. Calculate the least common multiple of m\/5 - (-4)\/(-10) and ((-20)\/6)\/(2\/(-3)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from {d: 5, k: 6, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 52*t**2. What is the tens digit of h(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*v + 23, -2*v = 4*s + v. Let j = -1517 - -1528. Sort j, 5, s in ascending order.\nAnswer: s, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y + 9. Let g be u(-2). Suppose -5*o - 5*s = -85, 2*s + 66 = 5*o - g. Solve j - o = k - 3*j, -2*j + 12 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 886478 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j - 20*j + 59*j + 53*j + 66*j**2.\nAnswer: 66*j**2 + 166*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 1, n: 6, j: 11}?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.431193 - 0.431. What is q rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 824 - 823.7116. What is w rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 3. Suppose 19*y - 41*y = 110. Determine w(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 16, i: 2}. What is prob of sequence lil?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9783 is divided by 147?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-7)\/(-3) - (-16)\/24). Suppose -4*j + 19 - 15 = p. Calculate the smallest common multiple of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 5. Suppose l = m + 3. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -2\/9*v**3 + 1\/36*v**4 + 22*v - 2\/3*v**2 + 0 + 1\/60*v**5. Find o, given that a(o) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 608324382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 + 101 - 65 - 2*v**3 + 103 - 132.\nAnswer: 10*v**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6938*h**2 - 5*h + 4*h + 6834*h**2)*(40*h - 52*h - 24*h) to w + b*h**3 + d*h + c*h**2 and give b.\nAnswer: 3744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7062 rounded to two decimal places?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrbbhbybrrrrbahhhhr. What is prob of picking 1 h, 1 b, and 2 r?\nAnswer: 75\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 895864.\nAnswer: 1\/223966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 7. Let f = 56 - 42. Let a be (2 + (-29)\/f)*(10 - r). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 342 = -1237. Suppose -7*z + 15186 = -i. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 803 = 166. Calculate the greatest common divisor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 647880\/7 - 2591555\/28. Let w = -1 + 1. Which is the third biggest value? (a) w (b) m (c) 0.364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193032, -386065, -579098, -772131, -965164?\nAnswer: -1158197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-1 - 3)*-1. Let l(s) = -s**3 + 3*s**2 - 3*s. Let x be l(h). Suppose 0 = -w + 2*w - x. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012023177152 to seven dps.\nAnswer: -0.0120232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/328 (b) -5 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25333417 to the power of 1\/2, to the nearest integer?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1\/6 (b) 2\/3 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)\/l**3*l**7*l**4*l assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.015742, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/362979 and 5\/167829.\nAnswer: 15608097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 64379627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26087387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14125669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -252, -253, -264, -291, -340, -417, -528?\n\"Answer: -q**3 + q**2 + 3*q - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-23)\/(-4)) + (-196)\/144?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*u**3 - 2442*u**3 + 4 - 4.\nAnswer: -2585*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k + 554 = 0. Let a(r) = 3*r**3 + 14*r**2 - 3*r - 21. Let f be a(-7). Let b = f + k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 123*m - 2982. Calculate j(-96).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -1\/52 (c) -5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 + 47 = -4*k - h, -5*h = -2*k - 80 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 5*x + x + 26 = 0, 2*x - 20 = -5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11013774 divided by -4259.\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 9*f + 6*f + 14, 0 = -4*y - 5*f + 35. Let i = 1 + y. 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 v = -0.04997 - 17.95003. Is 2.9 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/(y\/(y\/(y**5*y)))*(y**(-1\/2)*y)\/(y\/y**7))**(-23) assuming y is positive.\nAnswer: y**(299\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 241515355 plus -3?\nAnswer: 241515352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/252 and (7\/7 + (-106)\/108)\/((-98)\/(-910)).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 3*z**2 - z + 3. Let f be w(2). Solve 3*k - 11 = -2*g, 5*g + 4*k - f = 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70160 and 1017320?\nAnswer: 2034640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(13) - (sqrt(65) - sqrt(65)*1)\/sqrt(5))**2 + -1)*-4.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 7. Let q be d(5). Suppose 0 = -4*v - q*k + 100, -4*k + 75 = -2*v + 5*v. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 247 + 9\/(63\/56). Let j = -245 + o. Suppose 2*t = 4*t - 20. Calculate the greatest common divisor of t and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198625 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**4 - 528*s**3 + 21328*s**2 - 231168*s - 551936 = 0.\nAnswer: -2, 22, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2\/6 - 13*u\/6 = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5. Suppose -3*n = -7 - 32. Suppose 5*l = n*l. What is the second smallest value in t, 5, 3\/4, l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89*k**4 + 202476*k**3 + 2*k**2 - 577705976*k wrt k.\nAnswer: 1068*k**2 + 1214856*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1296?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a**2 + 1. Let r be d(1). Let k be (1*r\/(-15))\/((-2)\/(-6)). Suppose 172 = k*u + 2*o, -4*u + 6*o + 384 = 2*o. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356255?\nAnswer: 5, 11, 42841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/7)\/((20\/7)\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -352120.6 minus 287862?\nAnswer: -639982.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2824)\/(-48) - 7 - ((-20)\/(-40) - 8\/12)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 210*b - 2. Let q(h) = -16*h**2 - 10*h - 5. Let o(y) = -7*y**2 - 4*y - 2. Let m(j) = 5*o(j) - 2*q(j). Calculate m(i(z)).\nAnswer: -132300*z**2 + 2520*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*i + 18, 5*h = 2*h + 3*i + 9. Let w = -128 - -135. Suppose -2*c - 2*l + w - 5 = 0, -l = -5*c + 11. Solve -h = 3*r + c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-4)\/(-8)*2*35\/7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20022110020112 (base 3) to base 6\nAnswer: -155524322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Suppose 0 = c - g*c - 5*d - 932000, 0 = 2*c + 3*d + 466000. What is c rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*z**2 + 10873*z**2 - 501*z**2 - 744*z**2.\nAnswer: 9824*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3024 + 4845. Is 40 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and 16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.01315 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.1706154157 and 2.\nAnswer: -0.1706154157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1315798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 + 27*q**2 + 5*q**3 - 3*q**3 + 2*q**3 - 17 + 31*q - 14*q**2. Determine k(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 815 by -163.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - 2) + (-7 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.00028 - -31. Round u to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1995\/(-2261)*51\/(-18)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**27)**11\/(d**(-2\/3)*d*d*d*d*d\/d**(-42)))**35 assuming d is positive.\nAnswer: d**(-34895\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 2*h - 8*h)*(h - 2*h - h).\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {q: 1, a: 1, g: 4, f: 2, k: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3575707 (base 8) in base 13?\nAnswer: -284c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67405 is divided by 66559.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67552 by -16888.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007330832 to seven dps.\nAnswer: -0.0000733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -7*a - 139. Let j = a - -94. Which is smaller: -47 or j?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -26*l + 10. Let s be i(3). Let x = 115 + s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:33 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 334*m - 325*m + 6*g - 282, -2*m - 14 = -7*m - 2*g + 140 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w + 5. Let m(u) = -u**3 - 17*u**2 - 3*u. Let z(r) = -2*r**3 - 36*r**2 - 7*r - 2. Let p(f) = 9*m(f) - 4*z(f). Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-15))\/(4\/(-48)). Let y be 1\/(p - (-15)\/(-4)). Solve 0*w - y*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11\/2, 4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15594, 14737, 13308, 11307, 8734, 5589?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 21*q + 116. Let n be a(14). Solve -i**3 + n*i - 12*i**2 - 10*i + 20*i + 0*i = 0 for i.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(2\/(-2) + 3). Suppose 0 = -u - 0*t + t, 8 = -4*u + 2*t. Let m be (-2 - u) + 0 + 2. Put m, g, 1 in ascending order.\nAnswer: g, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1925\/(-2)*23\/(161\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 31 - (209 + -66 + -28).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 117*(1\/3 - 0). Let n = b - 34. Let q(f) = -f**2 - 9*f + 25. Let l be q(-11). Solve -3*d - 2*t - 2 = n, -3 = -l*d + 3*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i**2 - 2\/3*i**3 + 0 + 0*i + 2\/3*i**4.\nAnswer: 2*i**3*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + 17 - (-12 + -9 + 22)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 2\/13, -5, -0.8, -58?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672301383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28030, 4, 3.\nAnswer: -28030, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, e: 2, n: 10, a: 1}. Give prob of sequence nen.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*y - 217*y + 1896 - 6486 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-891)\/(-594) - (-2 + 3\/(-6)). Suppose -5*d + 19 = 3*c, 4*c - c = d + 7. Suppose -z*r + 347 = 3*u, 4*u - c*r = r + 500. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 597 divided by -121.\nAnswer: -597\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8857762.\nAnswer: 2, 19, 257, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 864 + -860. Solve -2*u = 4, l - 2*u = -v*l - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/5)*f*f**(-3\/5)*f**(-7)\/f**(-3))**(2\/73) assuming f is positive.\nAnswer: f**(-4\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 12:32 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2296\/84)\/(-41))\/((-6)\/(90\/255)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 5. Let y(j) = j - 1. Suppose -13 = z + 4*h, -2*h - 4 = 2. Let s(v) = z*r(v) - y(v). Let g be s(2). Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42569874 + 42569847.999987. Let v = r - -26. What is v rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*o + 4460 + 4045 = 0. Let b be -1 - (-3 + 4)*-5. Suppose b*w = -v + 24, -w + v = -2*w + 3. Calculate the remainder when o is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) + 10\/(-45). Let a(y) = -5 + 4*y + 2 - y**2 + y + w*y. Let k be a(3). Solve v + 1 = k*j - 10, -j + 1 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31012324043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**4 + 18000*z**3 - 3286446*z**2 - 3340436*z + 6608880 = 0.\nAnswer: -9179, -2, 1, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 32*p**2 - 145*p + 48. Let c be q(36). Let j(x) = -x**3 + 12*x**2 + x - 2. Calculate j(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 133098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 7. Let b be p(-6). Let m be (1 - b)*(-2)\/(-4). Is m less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5476909, -5476873, -5476837, -5476801?\n\"Answer: 36*y - 5476945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(208) + -3)*-3 - (2 + sqrt(208) + 3 + -2).\nAnswer: -52*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbo. What is prob of picking 1 o and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150888674 a multiple of 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*l - 12*l - 127788 - 123296 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 740*i**2 + 9 + 7 - 43 + 14.\nAnswer: -740*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 2. Suppose 0 = u + 2 - y. Suppose -2*g**4 + 3*g**4 - 4*g**2 + 2*g**u + g**4 = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -23420?\nAnswer: 23424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b + 3*b - 5*b. Suppose j - 3*v + 3 = 0, -5*j + 5*v = -0 - 5. Let c(x) = 4*x + j*x - 6*x. What is c(o(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-5))\/(3\/150). Let c = -12 - q. What is the remainder when 15 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702779 = -4*v - 152021. Round v to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 3364*q\/5.\nAnswer: -2*q*(q + 1682)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3230)\/1729 + (-4)\/(-26). Let j = -29\/21 - s. Which is the nearest to -1\/4? (a) 1 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27737\/57 not equal to 488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/5 - 238763*m\/5 + 17165016 = 0?\nAnswer: 360, 238403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(1723827\/(-4150))*(-1)\/(-5)*(-24)\/(-20)?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4793 times -0.5?\nAnswer: 0.23965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 555 + 1318 - 657 + 2*m**2 in the form r*m**2 + s + g*m and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, q: 2, e: 1}. Give prob of sequence qqe.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 9 - 5*p - 17. Let r be f(-11). Find the second derivative of -5*c + c - 8*c**3 + 9*c**r + 11*c wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 15 (c) 8 (d) -5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 8. Let a be d(4). Suppose 4*i + 26 = -v, -i = a*v - 0*i + 29. What are the prime factors of 52\/6 - v\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*j + 29, -149*c + 1 = -146*c - j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 38\/((-1*3\/36)\/(7*(-1)\/42))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20086951*w**3 + 5134864*w**2 - 1 wrt w.\nAnswer: 120521706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k + 3*k + 0*k - 3*k + k + (1 + 2*k - 1)*(0 + 3 - 4))*(-2 - 4 - 1) - k + 3*k + k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29095236*o**3 + 29505180*o**2 + 411388*o + 1444.\nAnswer: 4*(o + 1)*(2697*o + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 4 - 4) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -3041305 and -3041211 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (1 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5917 + 16920. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(1637*v**3 - 58*v**5 - 1637*v**3 + 3*v**3 - 3*v**3 - 2*v**5 + 2*v**5 + 0*v**5 + 0*v**5 + (-2*v**5 + 0*v**5 + 3*v**5)*(2 - 6 + 3)).\nAnswer: 177*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -49037.\nAnswer: -2\/49037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 97 - ((-268 - -245) + 5 + 11 + 0)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(847) + -3*sqrt(847))*6 - ((sqrt(847) + -1 - sqrt(847)) + 4 + sqrt(847))))**2*3.\nAnswer: 41184*sqrt(7) + 6871296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 78*n**2 + 175*n + 1203. Let z be g(-80). Solve 5*r - 13*m - 12 = -15*m, 3*m = -z*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191 and 25212?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + 8*q**2 + 4*q**2 + 6*q**2 to s + f*q**2 + p*q and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-4))\/(3\/(-24)). Let i be g\/6*(-300)\/4. Suppose 2*a = 48 - 8. Calculate the highest common factor of i and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -591, 2, -14673 in ascending order.\nAnswer: -14673, -591, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 15?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 897096, 897074, 897052, 897030, 897008, 896986?\n\"Answer: -22*o + 897118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28.861 and -81.\nAnswer: -109.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 18\/6)*-7. Let i(r) = 94*r - 546. What is the hundreds digit of i(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**8\/1680 - w**7\/420 + w**6\/360 - w**3\/6 + 2*w**2. Let k(p) be the first derivative of l(p). Factor k(f).\nAnswer: f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.030868 and -0.85?\nAnswer: -0.0262378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 63030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2703775 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*x - 27 = 0, 40 = 4*a - 9*a + 2*x. Let j = -94 - a. Let u = 221 + j. What are the prime factors of u?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -18*f - 2. Let n = -5 - -9. Suppose g = -6 + n. Is r(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*u - u. What is the units digit of -7*-1*(u - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2199723*m**3 - 4399456*m**3 + 2199732*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3113030 is divided by 90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 7 + 4 + 4 - 1300*m**2 - 20 as c + i*m + u*m**2 and give u.\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*g**4 + g**3 - 490*g**2.\nAnswer: -696*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 103, 215, 327?\n\"Answer: 112*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.2204 - 0.2044. Let s = -0.3 + 0.284. Let j = o + s. Which is the closest to -1? (a) j (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 360 = -5*c. Let r = 63 + c. Suppose v + 2*w - 1325 = 0, 3960 = r*v - w + 2*w. Is v 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*m**4*t + 4*m**3*t - 3*m**2*t**2 + 19*m*t**2 + 2*m*t wrt m?\nAnswer: 24*m**2*t + 24*m*t - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/9)\/(2\/(-6)). Suppose j*z = 5*y - 28, 3*y - 24 = -z + 4*z. Suppose y = 4*c - 12. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 30. Let s(q) = q**3 - 5*q**2 - 5*q - 5. What is s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhl when three letters picked without replacement from {l: 9, e: 4, h: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 1, u: 1, f: 1}. What is prob of sequence fiou?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from hddhehh?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3970 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 6, s: 2, u: 4}. Give prob of sequence cuc.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -10004\/18497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4630*s**2 + 196*s + 573. What is the units digit of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let k be y(-8). Let f = -21 - -56. Let a = -40 + f. Put a, -1, k in descending order.\nAnswer: -1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 657\/(-15) - (13\/91 - 184\/(-280))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhhthhhhhth. What is prob of picking 3 h?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1 (c) 2\/9 (d) 0.8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 2\/7 (c) 0 (d) -3\/41 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -2 (c) -0.1 (d) 2881 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4425455?\nAnswer: 5, 885091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v**2 + 0 + (3 - 3 + 1)*(v**2 + 0*v**2 - 3*v**2))*(v - 3*v + v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -993 + 993. Let m(b) = -b**2 + b + 60. Calculate m(n).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 20, -0.4, 0.5 in descending order.\nAnswer: 20, 1, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -354 times -352.8\nAnswer: 124891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 30 = 5*g, -938*c = -953*c + 5*g - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.4 (c) 786 (d) 0.04 (e) -2 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -4*n + v, -4*n + 4*v + 40 = -48. Suppose 2*f - n = -0*f. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130.8771 + -3324113.\nAnswer: -3324243.8771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-33))**(-23)\/((g*(g\/(g\/g**(-1\/4)))\/g*g)**(-20)\/(g**(-2)\/g*(g**(-6)\/g)\/g)) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 232 and 457.1.\nAnswer: 689.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44\/67 + -2\/201. Let h = -1048 - -490. Let c = -554 - h. Put c, 0.3, p, 2\/5 in decreasing order.\nAnswer: c, 2\/5, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -220, -404, -644, -946, -1316?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*x + 0*x + 112 = 0, 5*c + 4*x = -144. What are the prime factors of 78 + c\/12*(-3)\/2?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -32b?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5 - 411*k**4 - 2124*k**3 - 876*k**2 + 3408*k = 0. Calculate k.\nAnswer: -4, -2, 0, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 1974*p**3 - 238743*p**2 - 1756242*p + 937560 = 0.\nAnswer: -52\/7, 1\/2, 6010\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113.46 - -19.84. Let o = 133 - k. Let r = -2.7 + 1.7. Which is the nearest to r? (a) 2\/7 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 4120*d**2 + 4124*d - 7382. Calculate h(823).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1163, 1158, 1147, 1130?\n\"Answer: -3*i**2 + 4*i + 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-520)\/140*(8 - 7))\/(4\/(-28)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -20, 1\/3, 4, -3\/2, -0.02?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2*1) + 4. Let o(u) = u**2 + u - 2. Let t be o(-3). Suppose t*r + 116 = 356. What is the highest common factor of r and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -24 + 88. Let i be 1*8*1\/2. Let g = t + i. What is the highest common factor of g and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 133. Sort 4, h, -9.\nAnswer: -9, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 15 = 8*o + 2*q, 4 = -q. Let i(l) = -69*l - 483. Let v be i(o). Let h = -2 - -6. What is the second biggest value in -3, -5, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y + 2*y**4)*(-133 - 823 - 1174 - 262).\nAnswer: -4784*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*o - 3*o + 14, -3*l - o = -10. Let v(b) = b**3 - 5*b**2 + 5*b - 4. Let y be v(l). What are the prime factors of (-3)\/(3 - y) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 12*l - 4*l - 4*l in the form v*l + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 1988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 13\/24, -0.2, 41, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 76*q**2 + 81*q - 89. Give n(-39).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8596, -9282, -9940, -10558, -11124, -11626, -12052, -12390?\nAnswer: -12628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3 - 4 + 211*z - 416*z + 211*z - 1. Give a(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 12) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - 14.83. Let w = 15.9 + d. Let p = w - -4.1. What is the nearest to 0 in 0.5, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35492026?\nAnswer: 2, 1741, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-16) - (-2239 - -1). Suppose 14*z = -8*z + h. What is the greatest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 2. Let r be o(-2). Suppose -8*f + 3*f + 270 = r. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189134713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131\/711 - -3\/79. Is u smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -7*h**4\/24 - h**3\/6 - 2*h**2. Let n(a) be the first derivative of -3*a**2\/2 + 74. Give 2*g(w) - 5*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29221940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 6. Let h(y) = 8 + y**2 - 7*y + 14*y + 5. Let a be h(-6). Calculate l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2286, 2273, 2246, 2199, 2126, 2021, 1878, 1691?\n\"Answer: -y**3 - y**2 - 3*y + 2291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -39. Let n(x) be the second derivative of -x**3\/6 - x**2\/2 - x. What is the units digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 11:47 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {b: 1, c: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-16)*8976\/187*2\/(-2).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 17 = 27. Let m be 2\/(-20)*-148 - i\/25. Solve -4*n + 1 + m = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 117. What is the tens digit of 3\/15 - x\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -435533099.5 to the nearest one hundred thousand.\nAnswer: -435500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197 - -336. Suppose -3*c + q = -956. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02585 and 34673.\nAnswer: 34672.97415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 40*i = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 104. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37084, 37950, 38818, 39688?\nAnswer: 40560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(3\/14)*h*h)\/h*h)\/(h**(-7\/5)*h))**47)**(2\/35) assuming h is positive.\nAnswer: h**(11891\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 10 = 0. Let i(j) = j**3 - 5*j**2 + 2*j - 7. Calculate the least common multiple of (-66)\/(-4)*(-2)\/(-3) and i(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -90*l**2 + 113*l - 23. Let q(d) = 30*d**2 - 43*d + 8. What is 3*f(n) + 8*q(n)?\nAnswer: -30*n**2 - 5*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjv when three letters picked without replacement from jjpvi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-322)\/21 - -7)*-126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 + 20*x + 22. Let w be t(-2). Solve -d = 2*d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(-72 + 0) - -1 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from {g: 1, s: 1, c: 1, q: 2, b: 2, k: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -17. Let n be 4\/g + (-27)\/(-21). Does 6 divide ((-20)\/n)\/(-2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 5)*(19440 - 19440 - 38*h**3) to o*h**3 + u*h + a + y*h**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ffbbbbbbbbbbb.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2. Let u(q) = -12*q. Let k(j) = -11*j. Let g(a) = -4*k(a) + 3*u(a). What is o(g(s))?\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o - 402. Round o to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7))**(4\/17)*i**21\/(i*i**9\/i))**(4\/23) assuming i is positive.\nAnswer: i**(944\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.2, 24, -4.17, 2?\nAnswer: -4.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -148, -190, -232, -274, -316?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1175 + -1176. Let i be (-31 - -30) + (-21)\/2. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzgczzzzzzzzz. What is prob of sequence gc?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 422778104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111151497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 180163.27+-15\nAnswer: 180148.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1039, -2072, -3097, -4108, -5099, -6064, -6997?\n\"Answer: z**3 - 2*z**2 - 1034*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2991418 and 6.389108?\nAnswer: 6.0899662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2857391 is divided by 317467?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (78\/9)\/(3 + (-150)\/54). Suppose -2*r = 3*m, 0 = -5*r - 34*m + k*m. Suppose 5*s + 13 = -0*w + w, 0 = -w - 5*s - 7. Solve 4*f - 5*f - w = r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/5, 0.3, 3, 32\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 17*t - 234. Let a(r) = 4*r + 1. Let b be a(-1). Let h(k) = -3*k + 4. Let l be h(b). Calculate the highest common factor of l and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-159)\/96*4\/(-2). Do v and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.83848 to one dp.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -16, -58, -128, -232, -376, -566?\nAnswer: -808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*z = 989 + 526 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*r**(-9)\/r)**(8\/7) assuming r is positive.\nAnswer: r**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379050897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + i + 2*i)*(0 + 1 + 0)*(4*i + 0 - 4 + 2) to n + c*i**2 + v*i and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 12 = 2*m. Let o(x) = 45*x + 408. Let h be o(-9). Solve m*c = -c + h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:16 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 - 1 = 0. Suppose -c*l = -5*l + 47. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3786 and -423?\nAnswer: 160.1478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16082051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 + 1692796*z + 6771185\/4.\nAnswer: -(z - 6771185)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -994, -0.5?\nAnswer: -994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 3*v**2 - 3*v - 2. Let j(f) = -f**3 - 7*f**2 - 7*f - 5. Suppose -31*w = 258 - 41. Determine w*r(b) + 3*j(b).\nAnswer: 4*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from booboobjboboobj. What is prob of sequence jo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**4\/12 - 11*t**3\/3 - 5*t**2 + 11*t. Let o be m(-8). Suppose -p - 1 = -o. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2121*t + 7632 = 16629 + 10092 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 176?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 3. Let p(y) = 52*y + 4. Let u be p(m). Suppose -4*v + 588 + 59 = 5*z, v + 3*z - u = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53269769 by -7609967.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000109666363 rounded to seven decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b**4\/4 + 18*b**2 + 48*b + 30. Determine p so that y(p) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*(-186)\/4. Let d = p - 4. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 582056419 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74776 and 2457?\nAnswer: 14132664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(3*sqrt(10)))\/(sqrt(4) + 2*sqrt(64)).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2\/13 (b) -0.5 (c) -4 (d) 340 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -5\/36*u**4 - 1\/9*u**5 - 3*u**2 - 1\/63*u**7 - 1\/504*u**8 + 0*u - 1\/9*u**3 + 0 - 1\/18*u**6. Factor f(s).\nAnswer: -2*(s + 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2012)\/(-4527)*1\/(-2) + 993\/27*-1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4048, -8076, -12094, -16096, -20076, -24028?\n\"Answer: m**3 - m**2 - 4032*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = 7*v. Let a be 58 + 0 + (-1 - 2). Suppose 0 = -5*k - 0*k + a. Solve k = 3*x + v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**12)\/i)\/(i*i**(-1\/2)))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*(-17)\/374?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*(1 + 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1491 and 20244?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.44. What is the third smallest value in w, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -9 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4860 and 4?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24108426 and 24.\nAnswer: 96433704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 107096232.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 4. Let s(p) = -p. Let m(o) = -2*o**2 + 2*o + 2. Let u be m(2). Suppose 3*j + 9 - 3 = 0. Let x(b) = j*s(b) + u*t(b). Factor x(z).\nAnswer: -2*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/(15\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -0.7. Let r = -7 - -14. Let v = r - 7.2. Sort k, v, 2 in decreasing order.\nAnswer: 2, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/9 - 1210*y**3\/9 - 80794*y**2\/3 - 15741838*y\/9 + 66923416\/9.\nAnswer: -2*(y - 4)*(y + 203)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 36*i**2. Let s be ((-15)\/(-5) - 7) + 15\/6 + 2. Let j(k) be the first derivative of s*k**2 - 22 + 0*k. Determine j(g(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 825849.837931 and 8.\nAnswer: 825857.837931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 2.6. Which is the second smallest value? (a) n (b) -6\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 3*t. Let b = -222 + 219. Calculate j(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4, -4, -48, -152, -340?\n\"Answer: -4*o**3 + 6*o**2 + 2*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/5*((-23)\/(-966)*-14)\/(8\/(-240)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 20, -5, -4.54, -0.06?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162595 + 162597. Suppose -5*u + 67 + 53 = 5*t, 4*u - 3*t = 117. Solve -7*r = -2*r - n + u, -5*r + s*n = 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 75075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 230114?\nAnswer: 1150570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271559566 to the power of 1\/3, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*m + 1062, -5*m - 30*i + 1341 = -31*i. What is the smallest common multiple of m and 4?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -2a9?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 26, -0.048?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 491*k**2 - 3*k + 24. Let f be u(-4). Suppose 15*a - f = -1592. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/2 (b) 320 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3033378 and 25860?\nAnswer: 30333780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-4)\/(-22) + ((-3868)\/(-22) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2478 greater than -23534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31461 - 31518. Which is smaller: 227 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.868 - -4.668. Which is greater: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + u - 4*u - 5*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 10*g**2 + 17*g - 33. Give w(3).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:40 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*a + 2*a. List the prime factors of (a\/(-5))\/(14\/315).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058237 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/135 + -10\/27. Suppose 3*l + 23*l - 4*l = 0. Is f smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9714*t - 9713*t - 1 - 3*t**2 - 32*t**2 - 1 to the form k*t**2 + u + d*t and give k.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2823.\nAnswer: 7\/2823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 43\/(12\/(-9)*(-9)\/36). What is the greatest common factor of z and 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665415 (base 7) in base 6?\nAnswer: 11315445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 11*c - 33467 = 33*c. Is -684 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tstssts. What is prob of picking 3 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8*r - 16*r - 17*r)*(6 - 2 - 2) - 5*r + 3*r - r)*(4 - 4 + 1) to the form v*r + f and give v.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + 1 + (1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**5\/2 + 15*a**4 - 24*a**3 - 3*a**2 + 51*a\/2 - 12 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148847*l + 1415093*l + 1914970*l - 888874*l.\nAnswer: 2590036*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.522337 micrometers?\nAnswer: 0.000001522337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/7 - 17*r**4\/7 + 34*r**3\/7 - 4*r**2 + 8*r\/7 = 0. What is r?\nAnswer: 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 10*v - 13 = 5*q, -v = -4*q - 2. Suppose 0 = v*c - 4*c - 36. Solve -5*m - c = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221 (base 4) to base 6\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghyl when four letters picked without replacement from {h: 2, y: 2, a: 2, l: 1, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165330 and 7907283?\nAnswer: 869801130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)*m*m\/((m**(-18)*m)\/m*m)*m)\/(m*m**(4\/7)\/m*m*m)**(-2\/19) assuming m is positive.\nAnswer: m**(568\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426202175 by -54425.\nAnswer: 7831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3225 smaller than -3492568\/1083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 47.41 (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o**2 - 5*o + 84. Let h be x(0). What is the highest common divisor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.555*141971.\nAnswer: -78793.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -62906 at most -62915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/169, 0.3, 138?\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-21)\/(-6) + -3)\/(-1)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 8. Let c be m(6). Let u(k) = -4*k - c*k - k + 5*k. Let n(w) = 2*w**2. Calculate n(u(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 plus -44117834176.6?\nAnswer: -44117834297.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 288. Does 31 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 25 - (23 - -18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8264158 divided by -7.\nAnswer: -1180594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(272) + (sqrt(272) - (sqrt(272)*1 - sqrt(272))) + 1 + sqrt(459)\/sqrt(3) + (sqrt(51)\/sqrt(3) + -3 - sqrt(17)) + sqrt(17))*4)**2.\nAnswer: -768*sqrt(17) + 39232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 88?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30515679?\nAnswer: 3, 73, 46447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Suppose -5*b + r = t + 4, -3*t + 5*b = -11. Let g(i) = -2*i**3 + 2*i**2 + 2*i - 2. Let v be g(-2). Solve 0 = 3*m - 6, v = t*f + 5*m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3791 - -1?\nAnswer: 3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 37*y + 340. Let r be a(-20). Let i(p) be the first derivative of 7 + r*p - 5\/3*p**3 - 5\/2*p**2. Solve i(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k + w, 0 = w + 2*w - 9. Solve 0 = 2*g + 3*l + 12, 2*g - 2*l = -2 - k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1292bbd (base 14) to base 8\nAnswer: -42131423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 1, 3, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-3 - (6 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47743259, -190973042, -429689347, -763892174?\nAnswer: -1193581523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*s = -220*s + 28. Solve -28 = 7*c + s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -42. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192383.\nAnswer: 3, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 3*l**2 - 43*l + 43*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:47 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + 4. Let h = 1091 - 1139. Let v = s - h. Is 8 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22853.7 - 22853. Sort -4, x, 3, -0.13, -3.\nAnswer: -4, -3, -0.13, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*a, 0 = -5*x + a + 5 + 7. Factor 2\/3 + 2*r + x*r**2 + 2\/3*r**3.\nAnswer: 2*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 15*g. Let m(v) = -v**2 - 10*v + 82. Is 7 a factor of m(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1126705225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -451.71304 to the nearest 10.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/160? (a) 0.02885 (b) 1\/3 (c) 1\/2 (d) 3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a minute in seconds?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 57\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461.\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-26)\/(-3). Find the common denominator of 43\/8 + 0\/3 and ((-158)\/(-10))\/(k\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r + 5*w = 23, -5*r - 5*w + 25 = 0. Let d be (r\/56)\/((-4)\/1032). Let q = d - -27\/7. Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.717 + 0.317. Which is the nearest to -2? (a) -1\/10 (b) k (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-3 - -23)*(-4)\/(-9). Let c(i) be the first derivative of 1\/15*i**5 + 0*i**4 - 2 - l*i**3 + 0*i**2 + 1\/3*i. Factor c(j).\nAnswer: (j - 1)**2*(j + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(21)*-5)\/sqrt(192).\nAnswer: -15*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1*-3121.652.\nAnswer: -9677.1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ese when three letters picked without replacement from {s: 4, e: 5, u: 2}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*v**2 - 4*v**2 + 25*v**2 + 10*v**2 + 27*v wrt v?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**2 + 299*c - 101. What is y(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Let n(s) = -s**3 - 14*s**2 - 6*s - 8. Let l be n(-13). Let p = 47 + l. Let q = p - -50. Let c(d) = -1. Determine q*x(i) + 2*c(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -5 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1578*s = -973*s + 26620 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49539586 by -118.\nAnswer: 419827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38395 divided by -3\nAnswer: 38395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -614*b + 615*b - 8 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5064 = 32*y + 179*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 31) + (4 - (-18 - -7)) + 75.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 48. Let o = s + 36. Suppose -3*m - 4*d - 3 = 0, m - 3*d - 15 = -3. Solve -z + o = m*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/20)\/(247\/(-910)) - (6 + 0)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*l - 0*l. Let m be (3\/(-4))\/(3\/l). Let i = 4 + m. Sort -2, 4, i in ascending order.\nAnswer: -2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**(-4\/5))\/d))\/d*d*d*d\/((d\/(d\/(d\/(d*d**(-2\/7)*d))*d))\/d)*d*d**(-3\/5)*d\/(d*d**(3\/4)*d) assuming d is positive.\nAnswer: d**(723\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -313123 (base 8) to base 15\nAnswer: -20c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*d - 20 = s, 2*s - 10 = -2*d. Let o(j) = j**3 - 11*j**2 + 12*j - 3. Calculate the remainder when 67 is divided by o(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = -3*z + 3, 0 = z - 1. Sort 0, 2, l in decreasing order.\nAnswer: 2, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5810244 (base 9) to base 10\nAnswer: -3136360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 19 + 0 + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:04 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 2*g + 0*g. Let u(p) = -p**2 + p - 1. Let v = 100 - 99. Let y(d) = 2*d**2 + 3*d + 3. Let m(k) = v*y(k) + u(k). Calculate -m(z) - 4*o(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 619057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 7*p - 5. What is the third smallest value in p, 4\/11, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 1)*2\/(-2). Suppose 5*u - 18 = -p. Let q(j) = 13*j. Let o be q(u). What is the greatest common factor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2. Let w(h) = -15*h**2 + 450*h - 11. Let y(x) = 8*x**2 - 225*x + 6. Let z(t) = 6*w(t) + 11*y(t). Determine q(z(m)).\nAnswer: 4*m**4 - 900*m**3 + 50625*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -4. What is the remainder when 375\/9 + 4\/d is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 929, -1, -1518 in descending order.\nAnswer: 929, -1, -6, -1518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 687258, 2749030, 6185316, 10996116, 17181430, 24741258, 33675600?\n\"Answer: 687257*c**2 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10432, 9150, 7868, 6586, 5304, 4022?\n\"Answer: -1282*c + 11714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064.072cm in kilometers?\nAnswer: 0.02064072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 + 0*i + i + 0*i)*(i**2 - 3*i**2 - 6*i**2) as a*i**3 + j*i**4 + m*i**2 + h*i + q and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 267 - 150833?\nAnswer: -150555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77545125 is divided by 1130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30060*h - 30474*h + 63918*h.\nAnswer: 3384*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*g**2*u**4 + 228*g**2*u**2 - 1655*g**2 wrt u.\nAnswer: 16*g**2*u**3 + 456*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 4*s, 0*q - 4*q + 40 = -4*s. Let a be 72516\/31392 + 2\/q. Let u = a + -2\/109. Find the common denominator of -49\/11 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 6843256*q + 6843260 = 0.\nAnswer: -1710815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/8)*y)\/(y**1\/y))\/(y**2*y**(-5)\/y))**26 assuming y is positive.\nAnswer: y**(507\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (sqrt(1584))**2)*-6 - (3 + sqrt(704)*5).\nAnswer: -52*sqrt(11) + 9501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275 and 375?\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -858 = 47*h - 44*h. Let b = h + 290. Solve 0 = -b*n + 3*z - 22, -n + 4*n + 4*z + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10000011100000011010000101010?\nAnswer: 10000011100000011010000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/8 + 24\/16. Suppose -q + 34 = 5*i, -i + 10*q - 2 = s*q. Which is the nearest to -1? (a) i (b) 1\/3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2 - 211*x + 27540. Let t(n) = 6*n**2 + 106*n - 13758. Let l(j) = -6*m(j) - 13*t(j). Differentiate l(w) with respect to w.\nAnswer: -36*w - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 128*g**4 - 261965024*g**3 + 196473720*g**2 - 49118426*g + 4093202 = 0.\nAnswer: 1\/4, 2046601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/460152 and 29\/616.\nAnswer: 460152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 19*d**2 - 24*d - 4. Let w(q) = 9*q**2 - 11*q - 2. Let n(x) = -6*p(x) + 13*w(x). Let u(o) = o**2 + o. Let i be 1*(0 + (0 - -1)). Give i*n(l) - 2*u(l).\nAnswer: l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -345119 divided by 1?\nAnswer: -345119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 - 3741*y**2\/5 - 559107*y\/5 - 3956391 = 0.\nAnswer: -69, 1385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -132\nAnswer: -5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 6.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1501 + 0.3501. Which is the nearest to k? (a) -2 (b) 5 (c) -5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 1.1. Let x = w - -0.6. Sort -3, x, 4\/5.\nAnswer: -3, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + z**2 - 9*z + 5. Let v be g(2). Which is the closest to 0.1? (a) v (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 1)\/(12\/(-8)). Find the common denominator of -43\/7 and (p + 55)*(-1)\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792 divided by 1264?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 22 = -4*t - 43*z, 4*t + 5*z - 31 = 0. Let o be ((-3)\/2)\/((-21)\/56). Solve -t*i - 45 = -5*m, 4*i - 3*i = -o*m + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 3)\/(-2 - -3). Solve -4*k - p = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 64 = -3*m. What is the common denominator of 8\/m*2*-43 and 11\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -1366, 2\/7, -39, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 26 = -m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 3061173.0952.\nAnswer: 3061175.0952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -775 from 2281.\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1880 and -2\/38869.\nAnswer: 1554760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2, 11*y - 3*d - 4 = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - -58.5. Let d = w + -131. Let u = -1172\/15 - -78. Which is the nearest to 0.1? (a) u (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -723*y**4\/2 + y**3\/3 - 6547*y**2 - 818*y - 7. Differentiate g(m) with respect to m.\nAnswer: -8676*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/42*143\/((-22165)\/10974)?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-30) - (16\/6 + -1). What is the hundreds digit of 4 - -381 - (-3)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -199, -400, -601, -802, -1003?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) 0 (c) 2\/13 (d) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.2 - -64.8. Let y = s + -73. What is the closest to -2\/3 in 4, y, 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 17*y**2 - 15*y - 14. Let d be ((-6)\/(-15))\/((-5)\/(-200)). Determine l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/40 + b**5\/15 - 8*b**2. Let m(y) = 2*y**3 - 3*y**2. Let v = 7 - 4. Suppose -4 = w - 8. Give v*p(j) + w*m(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956\/21 equal to 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 522 - -4?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 68. Let m be (1107\/15)\/(6\/s). Let t = 1796 - m. What is t rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1872 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25170517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(20))\/((sqrt(300) - sqrt(12))*4) + (sqrt(36) - (sqrt(900) + sqrt(900)*1))\/(4*sqrt(108)))**2 + 4.\nAnswer: 5683\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128481 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918293100.\nAnswer: 2, 5, 17, 241, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a millisecond?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = 7*m - 159. Suppose -99*u + 775 = -94*u. Suppose 3*t = -m + u. What is the remainder when 59 is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = 2*f, 6*v = 4*f + v - 23. What is the remainder when 31 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1722, -3425, -5128, -6831?\n\"Answer: -1703*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -269*c**2 - 72*c - 3013?\nAnswer: -538*c - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.1 + 8412.994?\nAnswer: 9280.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.3. Suppose 0 = -t + 4*o - 16, -2*t + 2*o = t - 2. Let y be 1*(-1)\/t + 0. What is the biggest value in d, 0.4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2113, -2113, -2115, -2119, -2125?\n\"Answer: -r**2 + 3*r - 2115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20212200 + 30?\nAnswer: -20212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 140001*z**3 - 15*z**2 - 139998*z**3 - 139*z**4 - 14 + 508*z**4 wrt z.\nAnswer: 8856*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(3\/36). Suppose -4 = g*p - 24. Suppose 3*n = p*n - 6. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 12 = -2*x, 7*x + 6 = -5*p + 8*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, g: 1, r: 7}. What is prob of picking 1 i, 1 r, and 1 g?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/13, 5, -1\/4, -0.3, -3\/7, -2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u**3 + 46*u**3 + 85*u**3 - 53*u**3 - 2*u.\nAnswer: 99*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f. Let x(t) = 2864*t + 275*t + 852*t + 2848*t. Give x(p(g)).\nAnswer: 13678*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 9*i**2 - 3 - 14*i**2 + 3*i**3 to the form g + t*i + o*i**2 + s*i**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.4, -1, 2\/3, -43, 2\/7 in descending order.\nAnswer: 2\/3, 2\/7, -1, -17.4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2576871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 270969 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2 - 0. Let h = 11 - 5. Calculate the lowest common multiple of r and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(6)\/sqrt(2)*4 + (sqrt(33)\/(-1*sqrt(11)))**2.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -0*w - w - n, -2*w = -2*n - 24. Suppose -5*d - 3*k = -10, -2*d + 4 = -3*k + 5*k. Solve -3*s + 4*u - 4 = w, -18 = d*s - 4*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j*u**2*z + 6*j*u*z**3 - 13*j*z**2 + 5*j - 27*u**2*z**2 + 731*u**2*z + u - 1 wrt z?\nAnswer: 36*j*u*z - 26*j - 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3038\/11 + -276. Let q = 2198 + -19778\/9. Which is the smallest value? (a) q (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cooopcpoppop. Give prob of sequence ppoo.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5405 - 796*i**3 - 5405.\nAnswer: -796*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvf when three letters picked without replacement from {b: 2, n: 1, r: 5, f: 1, i: 1, v: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 140*((-1978)\/(-215))\/(-46)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -251*r - 58*r + 1104*r + 883*r as o*r + n and give o.\nAnswer: 1678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*i + 377*i - 5*b + 75 = 0, -3*b + 45 = i. Let x(r) = -3*r - 10. Let m(w) = w. Let u(z) = 2*m(z) + x(z). What is u(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5007691 and 639379?\nAnswer: 4667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:05 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 6*d + 66. Suppose -7 = 19*b - 20*b. Calculate the remainder when f(b) is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -1004300?\nAnswer: -1004244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 3)*(2*s**2 - 5*s**2 + s**2)*(-19*s - 37*s + 17*s) to k*s**2 + t*s**3 + c + l*s and give t.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -69338658?\nAnswer: 69338658.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46848?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1380*-86116\nAnswer: -118840080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -5.61 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**5 + 2*m**3\/3 + m**2 - 17*m - 206. Find the second derivative of l(c) wrt c.\nAnswer: 60*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266.49*7814\nAnswer: 2082352.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43275, 86709, 130143, 173577?\n\"Answer: 43434*u - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-2)\/2 + 3). Suppose 0 = -t + 3 - c. Find the third derivative of t*d**5 - 7*d**2 + 7*d**5 - d**2 wrt d.\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.306904 plus 14425?\nAnswer: 14423.693096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 205.1. Which is the closest to 1\/4? (a) 4 (b) 84 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266547?\nAnswer: 37, 34231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b. Let p(i) = i**3 - 9*i**2. Let f be p(9). Let u be h(f). Let a(c) = c**3 + 2*c**2 - 1. Let o be a(1). Solve -d + u = -o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.081 and -21.3.\nAnswer: -20.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6 = -3*t, -28893 = -g - 3*t - 28881 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*u + 6*y - 4*y, 5*u - 936108 = -y - 936119 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let m(o) = -9*o - 10. Determine -6*c(z) + m(z).\nAnswer: -3*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 13*k**2 - 41*k - 317. Give z(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2))\/i**1*i**(-1\/2)\/((i*i*i**(2\/3)\/i)\/i))\/((i\/(i\/((i\/((i**1\/i)\/i))\/i))*i\/i**6)\/(((i**(-4)\/i)\/i*i)\/(i*i*i**(-2)*i*i))) assuming i is positive.\nAnswer: i**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1009 = 3*a + v - 6*v, 4*a - 1342 = 5*v. List the prime factors of a.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7141\/10 + -713. Let p = 8\/5 - i. What is the third smallest value in 0, -1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 6*y**2 - y**2)*(1 + 3*y - 1).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2. Let c(i) = -i**2 + 9*i - 16. Let l be c(4). Let p(s) = 10*s**2. What is l*p(q) + 35*a(q)?\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/338 and ((-6)\/(-32))\/((-17)\/153)?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 120 = 29*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -200. Suppose 0 = a*k - 304 - 296. Which is greater: k or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.2, -2\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 478 - 478. Which is the biggest value? (a) -0.085 (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 947, 2066, 3185?\n\"Answer: 1119*s - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -105 - -27?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9904169?\nAnswer: 11, 47, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aygy when four letters picked without replacement from {y: 4, a: 5, g: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -4*o, -9 = 5*o + d - 30. Let p(g) = -g**2 + 5*g + 6. Let c be p(o). Solve 3*f = 3*b + c, 2*f + 8 = -2*b - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*v + 1502 + 1015 + 92*v to the form l + x*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 - 47*n**2 + 53*n**2 - 40 + 2*n - 3*n**3 + 20 in the form p*n**2 + l + m*n**3 + a*n and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let b be k(-1). Suppose 6 = 4*s + 3*t, -2*s - 3*s + t - 2 = b. Suppose -5*h + 92 + 3 = s. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/185991 and -47\/8565?\nAnswer: 531004305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(192) - (sqrt(192) + sqrt(192)*1)))**2*1*3.\nAnswer: 144*sqrt(3) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -59. Let p = o + -28. Are -1 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(77)*3)\/(sqrt(11) + sqrt(1100) + (sqrt(1100)*-2 - sqrt(1100))).\nAnswer: -18*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -24. Suppose -3*b - 4*t = -l, 0 = 5*b + t - 0 - 27. Suppose -b*o - 16 = -461. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012 - -30?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9200, -36119, -80978, -143771, -224492, -323135?\n\"Answer: l**3 - 8976*l**2 + 2*l - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191*-2*((-5)\/(-1) + -6)?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4980220 or -2\/5?\nAnswer: -4980220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317 - 5. Suppose 4*j + w = -0*j. Let k = j - -587. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101421 (base 5) to base 8\nAnswer: 6441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 1 (b) 1\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3061678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 - 3*y + 4. Suppose 5*k = 5, -2*k = -6*b + 2*b + 138. Let w = -41 + b. What is the remainder when 61 is divided by z(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90 and 2.18.\nAnswer: 196.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 7. What is the least common multiple of 1 and u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004871909 rounded to six dps?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**0*z*z*z**(-12)*(z\/((z\/z**(2\/23)*z)\/z))\/z**(-15) assuming z is positive.\nAnswer: z**(140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -16*t - 10. Let n be g(-1). Let x be (n\/18)\/((-11)\/33). What is the nearest to -0.1 in -1.6, -0.4, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 333141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 2*f - 1. Let o be s(-1). Suppose 0 = 4*h - 4*j + 4, o*j - 4 = 2. Let r be 1*(-1 + 2\/2). Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 7*f**2 - 8*f + 1. Let r(y) = -y**3 + 12*y**2 + y - 20. Let u be r(12). Let t be m(u). What are the prime factors of 2*t\/2 - -84?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533*s + 516*s - 1050*s + 45.\nAnswer: -s + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + q**3 + 38 - 89 - 2*q**2 + 3*q + 25 to the form y + k*q + w*q**3 + m*q**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + sqrt(66)\/sqrt(6) + -2 - sqrt(77)\/((sqrt(42)\/sqrt(2))\/sqrt(3))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224700 rounded to the nearest ten thousand?\nAnswer: -3220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*j + 20, 4*b + 0*j = -4*j - 8. Solve -4*v + 2 = b*l, -7*l + 3*l - 7 = -3*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - 208. Calculate the smallest common multiple of 6 and 12\/9 - (2 + (-80)\/o).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 366 = -0*a - 4*c, 3*c - 552 = -3*a. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 909 and 1956168.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 6*w**2 + 3 + (-20 + w**2 + 113*w + 6 - 112*w)*(1 + 0 - 3)*(0 - 2 + 0) as h*w + s + g*w**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381605081 divided by 1261.\nAnswer: -302621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vccvcvccvkvvcvkvcv. Give prob of picking 3 v and 1 k.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-44)*o**(-18\/11) assuming o is positive.\nAnswer: o**(-502\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/5 (b) 7 (c) 1\/2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and 0.76.\nAnswer: -50.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orucurrhggouo. What is prob of sequence hu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -230 - -251. Suppose -3*u + 30 - r = 0. Suppose -5*l + 1 = -9. Solve l*o = -10, 0 = -6*g + 3*g + u*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*x + 30 = 3*o, 3*o - 2*x - 30 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 0, 2*l + 0*t - t = 5. Suppose 543 = 4*s - g, -s + 5*s = -l*g + 534. Let m = s - -52. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13850 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00132809 rounded to five decimal places?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*((z*z*z**(-5\/9)\/z*z)\/z)\/z)*z**(3\/2) assuming z is positive.\nAnswer: z**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709540 is divided by 354767.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h - 3*r + 1355015 = r, 0 = 3*r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -0.7 (c) 8.1 (d) -1 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) -47\/6 (c) -5 (d) 1 (e) 0 (f) 18 (g) -57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g - 10. Let f be (g - 5)*(0 + -1). Which is the closest to -1\/2? (a) f (b) 1\/5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 35 + 40 = 3*c, 0 = 4*c - 3*r + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 19, 30, 41, 52, 63?\n\"Answer: 11*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16324 smaller than -16325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -384, -575, -766, -957, -1148?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 24*h**2 - 190*h - 5430. Calculate n(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r**2 - 494*r + 34. Let u be i(29). Let q = -15 + 17. Let x(n) = -n**2 - 5*n + 3. Let o be x(-4). Solve o*h = q*h + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*d + 96*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -11*p + 65. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6203 - 2c9?\nAnswer: 5d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/3 - 1187*f**2\/3 - 2393*f\/3 + 5945 = 0.\nAnswer: -5, 3, 1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27398, -54766, -82134, -109502, -136870?\nAnswer: -164238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 4, j: 2, q: 1, y: 3}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 0*s - b + 7, -4*b + 11 = 5*s. Let o be (s\/3)\/(2\/(-12)). Let k = o + 1. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1872\/10 - (-1)\/(-5). What is the highest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*d*u**4 + 549*d*u**2 + 446*d - 6 wrt u.\nAnswer: -340*d*u**3 + 1098*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 12*g - 1. Let o be t(-5). Let d be (-4)\/6*o\/8. List the prime factors of -20*(d\/(-6) - 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**2*x**3 - 4*n**2*x**2 + 372*n*x**3 + 73*n*x - 563*x**3 - 2338*x**2 wrt x?\nAnswer: -24*n**2 + 2232*n - 3378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 11. Let v(h) = -m*h**2 - 319*h + 319*h. Let u(f) = 2*f**2. Determine v(u(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 23*a - 4. Determine w(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 21121?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:45 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 3*u**2\/2 + 3*u + 34. Suppose -2*p + 4 = -4*p. Let l(w) be the first derivative of -w**2\/2 - w - 81. What is p*m(y) - 5*l(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*l - 7 = -l, 0 = y + l - 13. Suppose 2*d = y*d - 35. Let z be d\/(-2)*12\/120. Sort -0.4, -1\/3, z in descending order.\nAnswer: z, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*i - 16*i + 10*i + (-2*i + 2*i - i)*(-4 + 2 + 0))*(1 + 1 + 0) in the form k + l*i and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -26*d - 370. Let t be v(-15). Let b be (-2)\/(-11) - 18\/(-22). Let c be (-2 + -1)\/b*-1. Solve -c*q = q - t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267797 is divided by 154?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1464\/610*(-4)\/16)\/((-4)\/5).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*w - 3*b, 0 = -b - b - 4. Suppose -24 - 14 = -w*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6*2\/(-8))\/(2\/(-4)). Let d(b) = -b + 1. Let x(r) = -6*r + 11. Let q(l) = 3*d(l) - x(l). Let v be q(u). Which is smaller: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 - -155. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24890 divided by -190.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -354 - -358. What is the remainder when 57 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s**(-6)*s)\/s)*s**9)\/(((s*s**(2\/15))\/s)\/(s\/((s**(-3)*s)\/s))))\/((s**8\/(s**(-1\/14)*s))\/(s**9\/(s*s**(1\/3)))) assuming s is positive.\nAnswer: s**(4087\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 18*y - 31. Let i(b) = -b**2 - 9*b + 15. Let a(o) = 7*i(o) + 4*l(o). Let g = 26 - 39. What is the tens digit of a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 22. What are the prime factors of 578\/12 - v\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 6091440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1422*o**3*u**3 + 826*o**3*u**2 - 2*o**3*u + 2005*o**3 + o**2*u**2 - 32*o*u**3 - 1504*u**3 wrt u.\nAnswer: 8532*o**3 - 192*o - 9024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(34)\/sqrt(2)*-1)**2 - (-2 + 2*sqrt(17)))*-6.\nAnswer: -12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4046, 4099, 4252, 4559, 5074, 5851, 6944?\nAnswer: 8407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -9, 7, 0 in descending order.\nAnswer: 7, 0, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.7415 days in nanoseconds?\nAnswer: 14838465600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 12*m**2 + 18*m - 142. What is u(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {w: 1, b: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 2*s**2 - 2*s - 1. Let q be w(3). Let b be 1 + q\/(3 + 10\/(-4)). Suppose -4*x = -b*l - 8*x + 215, 4*l + x - 161 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8337 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-5 - 3) - 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)**(1\/3))**(2\/13) assuming q is positive.\nAnswer: q**(-4\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 9?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 - 81 + 87 + 65*k**4 + (-3 + 11 + 1)*(2*k**4 - 2*k**4 - k**4).\nAnswer: 52*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 12:23 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529170 is divided by 12848.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 44. Let z be (4 + -4)*(-3)\/g. Suppose -p + 3 + z = 0. Solve -3*j = -3*y + 3, p = 5*y + 3*j - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 169655*m + 169655*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2906 + 2946. What is the smallest common multiple of p and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v - 7. Let l be i(2). Let n = 1 + l. Let k = n + 32. Let r(m) = 6*m - 3. Let g(u) = -7*u + 4. Calculate k*r(t) - 3*g(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 + s - 2. Let z be j(5). Suppose -z*g - 14 = -41. Solve 3*t - 3*x = 12, g + 1 = -5*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 - 23*z**4\/12 - z**3\/6 - 11*z**2\/2 + 10*z + 10. Calculate a(23).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:59 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l - 7*l + 3 + 2*l**2 - 1 - 3*l**2. Let s be k(-3). What is v in -7*v**2 + 6*v - s*v**2 + 0*v**3 - 3*v**4 + 0*v**4 + 12*v**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-10)\/(-6) + -2). Let g be ((-3072)\/(-8064))\/(48\/(-28)). Which is the closest to r? (a) g (b) 2\/29 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26, -261, -762, -1583, -2778?\n\"Answer: -9*y**3 - 79*y**2 + 65*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -45*n - 83. Let r be d(3). Is r != -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*u = 11*u + 26, -7*j - 3*u = -23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -163. Let m = 54 - y. Solve 0 = -3*k + 12, d + 10 = 3*k - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 4. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -6 (c) -836 (d) 0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-28) + 13\/(41496\/(-204060))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18039455 - 6436*t - 18039455)*(-4 + 2 + 3).\nAnswer: -6436*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 8*i + 6*i)*(1 - 1 + 2) + 364*i + 149*i - 68*i.\nAnswer: 433*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*b - 1483, 4*b = 3*u + 3*b - 2197. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366 is divided by 188.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124610\/2231 at most 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 1 (c) 2\/5 (d) -6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -400*p + 10414. Determine z(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1460 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23107268 and 3344473.\nAnswer: 254179948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3509616860 + 3509589847.860046. Let v = 27014.44 + i. Let c = -2.3 + v. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 8 = 2*r, -w - 4*r = -2500. List the prime factors of w.\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 4, 37, 102, 211?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-8) - 22\/(-26). Which is the second smallest value? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4029 * -6932\nAnswer: -27929028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1055816, 1055826, 1055836, 1055846, 1055856?\nAnswer: 1055866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6297067km in micrometers?\nAnswer: 629706700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - 5*x + 5. Let f(n) = 6*n**2 - 7*n + 7. Let t(k) = 5*f(k) - 7*g(k). Suppose 4*i = -0*i + 12. Let p(m) = -m + 6*m - i*m. Determine p(t(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 166\/3 + -54. Let k(q) = q**2 - 21*q - 231. Let m be k(29). Is o > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-440)\/(-33)*(-6)\/(-2). Suppose -3*w + n = -8. What is the remainder when 30 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(5\/4)*n*n)\/n)\/n**(-1\/8))**(-4) assuming n is positive.\nAnswer: n**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/2981 and 89\/3806.\nAnswer: 1031426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933154948.\nAnswer: 2, 11, 37, 191, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.94 + 25.04. Let u = 154 + 37. Is u greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36810251932.3 - 6?\nAnswer: 36810251926.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 3*y. Let z be v(3). Suppose -3*b + 35 + z = 4*u, 3*u + 4*b - 62 = 0. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -6. Let b = u + -2.9. Let q = 0.01 + -1.01. Sort q, 0, b in decreasing order.\nAnswer: b, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 610*p + 1965. Give q(206).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -11*y - 2. Let i(m) = 4*m + 1. Suppose 24*z - 255 = 39*z. Calculate z*i(q) - 6*w(q).\nAnswer: -2*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, 3, -0.5, 9238?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {x: 9, z: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 12. Suppose 5*m + 0 = 2*x - 10, 0 = -3*x - 5*m - k. Suppose -q + 5 + 0 = x. Solve -q*d + 2*n = 3*n - 3, 3*n = -5*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349037.\nAnswer: 3, 149893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(539) - (1 + sqrt(539) - sqrt(539))) + 3 + ((sqrt(539) + 1)*-5)**2 - ((2 + sqrt(539))*-1 + -2)**2).\nAnswer: 903*sqrt(11) + 38841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 16*f - 13*f - 147, 4*f - 2*j = 202. What is the remainder when 12478 is divided by f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/36*(-4)\/(-10). Sort -56.1, m, 0.5 in increasing order.\nAnswer: -56.1, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 419525106.412 from -1.\nAnswer: -419525107.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*(sqrt(363) + (sqrt(363) + -2)*4 - sqrt(363)))**2.\nAnswer: -17600*sqrt(3) + 146800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = 25*d + 7*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.952 - 82.19. What is k rounded to 1 decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 688727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 - 22*z**4 + 24*z**4 + 3*z**2 - 4*z + 0*z - 14*z**3 in the form g + k*z**3 + m*z + f*z**4 + r*z**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12641 + 12701. Let o(m) = -10*m. Let f be o(-4). Calculate the highest common factor of f and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n. Let d(t) = -926*t + 598. Let v(s) = -35189*s + 23023. Let c(l) = -77*d(l) + 2*v(l). Determine z(c(p)).\nAnswer: 2772*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -67\/3. Let p = 4 + 1. What is the third biggest value in b, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmunnmucnmnn. What is prob of sequence nucm?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2936*a**3 + 3*a**2 + 5*a. Let f be o(-3). Suppose 57*k = 45*k + f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -110216*k - 881728. What is x(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16737 + 35709. Let q = f - 341351\/18. What is the common denominator of 97\/20 and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(54))\/(1*sqrt(200) + sqrt(200) + sqrt(2))*-6.\nAnswer: 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/159 + 209\/477. Suppose 0 = 3*p + 2*p - 20. What is the biggest value in -11, p, q, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:55 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -42, 4, -3, -85, 8, -4 in descending order.\nAnswer: 8, 5, 4, -3, -4, -42, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 14*v - 13. Let a be r(-15). Solve -a*n - 3 = 2*x - 3*n, -4*n + 23 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjjjjjjpjjjjjjjpup?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0.7. Let q = -2168\/94365 - 2\/1165. Let v = -16\/81 + q. What is the second smallest value in g, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/52 - (-2700)\/26. Suppose 4*f = p + 88. Let o be -188*(-8)\/(f\/45). Round o to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 9*b + 18. Let n be p(9). Let o be ((-150)\/n + 8)*(0 - 0). Solve o = -2*i - i - 2*g - 18, 0 = i + 5*g + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/60 - x**4\/3 + 11*x**3\/6 + 46*x**2 - 1. Calculate n(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3042204?\nAnswer: 3042144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -737 (base 8) to base 14.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w + 1. Does 9 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**3*n**3 - 91*l**3 + 2*l**2*n**3 + 2*l*n + 60*n**3 wrt l?\nAnswer: 6*n**3 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 5*v**2 + 2*v + 9. Let m be (-88)\/20 + -1 - (-26)\/65. Let z be t(m). Is z <= -1\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let n(o) be the first derivative of o**3\/3 - 5*o**2\/2 - 11*o + 388. What is 5*d(v) + n(v)?\nAnswer: v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154136 - 292892 = 3956*b for b.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 85. Calculate k(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*s - 26*s - 55. Let f be (1 - 2)\/1*(s + 22). Let q(l) = -l**3 - 9*l**2 + 5*l - 1. What are the prime factors of q(f)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 32*y**2\/3 + 10*y.\nAnswer: 2*y*(y + 1)*(y + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d. Let n(j) = 0 + 0 - 3*j + 0. Let h = -63 - -67. Suppose 2*m + 4*p = 18, 0*p = h*p. Determine m*n(x) + 5*l(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -6) + (0 - 2) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*((v*v**(4\/7))\/v)\/v)\/v)**(-4\/29)\/((v**(-28)*v)\/(v*v**(3\/4))))**36 assuming v is positive.\nAnswer: v**(210537\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-4)\/96*6\/(-2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201775 is divided by 300440.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - o**2 + 6*o + 16. Let d(h) = h**3 - h**2 + 5*h + 17. Let i(f) = 5*d(f) - 4*p(f). Let a = 26019 - 26019. Give i(a).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 878764243?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587166819 a multiple of 1541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/15624 and -137\/12?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8834921959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1117 and 143804152.\nAnswer: 143803035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 151125*h*y**2 - 7*y**2 - 8777 wrt h.\nAnswer: 151125*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -872.94 - -908. Let w = u - 29.3. Let x = w - 3.97. Round x to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45448 + -18695. Calculate the greatest common factor of 62 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + -6*(-1 + sqrt(80)) + (2*sqrt(180))\/(sqrt(4) + 2*sqrt(4)*1))**2.\nAnswer: -88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (18\/(-260)*2)\/(441\/(-13965))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 124.5 and 31.\nAnswer: 3859.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((-135)\/144*8\/(-140))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -b - 3*y, -4*b + 2*y - 7 = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -2)**2 + -5.\nAnswer: -48*sqrt(3) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8150119, 16300234, 24450349, 32600464, 40750579?\nAnswer: 48900694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 + 3*p**2 + 2*p + 3. Let t = 148 + -150. Give o(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 22024.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*z - z + 1 = 0, -v - 15 = 5*z. Suppose 0 = 2*s - p + v*p - 80, 3*p = -5*s + 228. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 2 + 762239*o - 762247*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 155207\/16 + -3. Let f be (-921823)\/(-95) + (-4)\/10. Let n = s - f. Calculate the common denominator of n and 27\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16702990?\nAnswer: 2, 5, 41, 40739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2956 < -5.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13200 = 6*m - 3828. Is 43 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 2*w. What is the units digit of (-2 - -16) + 3 - w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392116863.\nAnswer: 3, 179, 730199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 19*b**2 + b + 28. Let c = -25 + 6. Let z be s(c). Suppose z*g - 16 = 5*g. What is the lowest common multiple of g and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:09 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -315 divided by 18?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21188*l**3*m**3 - 2*l**3*m**2*x**3 + 7022976*l**3*m**2*x - 3*l**2*x**3 + l*m**3*x - 21*m**3*x**3 wrt m.\nAnswer: 127128*l**3 + 6*l*x - 126*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 4, 10, 0.\nAnswer: -7, 0, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 342676802 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 4 - (0 - -8). Let s be (z + -1)*(-2)\/4. Differentiate -2*l**3 + 2 - s*l**2 + 5*l**2 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-495)\/(-44) - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.25 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let a(c) = -2*c + 13. Let d be a(-5). Let f = d - 23. Let l(p) = f + 0 + 5*p**2 + 5*p**2. Calculate o(l(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*y = 3*u, -2*u + 14 = -5*y. Suppose -3*k - 3 - 3 = 0, -4*k = u*q - 4. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1802 - 1799 + 3601 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-4)\/(-12)). Suppose -v = -2*v + p. What is the smallest common multiple of 4 and -1 + (2 - v) + 19?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j**3 - 3. Let a(g) = 9*g**2 + 55*g + 9. Let x be a(-6). Let p(f) = -23*f**3 - 5. Give x*p(c) - 5*n(c).\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**3 + 4*b**2 - 35*b - 134. Determine v(0).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let m(s) = s**2 - 6*s + 2. Let z be m(6). What is the second derivative of 2*n + n**3 - b*n - z*n wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Let x(l) be the second derivative of 1\/12*l**4 + 0 - 2\/3*l**3 + 2*l**2 - l. Determine x(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 1148 + 1118. Let s be 2 - (3 - 2) - 3. Are s and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215b (base 13) to base 5\nAnswer: 122024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 703, 1407, 2111, 2815, 3519?\n\"Answer: 704*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274267028?\nAnswer: 2, 7, 89, 110059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)*o**(-24) assuming o is positive.\nAnswer: o**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*t**4 + (0 - 3*t**2 + 0 + (2*t - 4*t**2 - 2*t)*(-22 - 4 + 3))*(-3 + 3 + 2*t**2) to the form o*t**2 + j*t**4 + z*t**3 + k*t + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 35, 284, 3 in descending order.\nAnswer: 284, 35, 3, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**6\/24 - b**5\/12 - 25*b**4\/24 - 5*b**3\/2 - 27*b**2. Let r(v) = 0. Calculate v.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 24, 47, 80?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13195693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166662216 or -166662215?\nAnswer: -166662215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.82747 hours?\nAnswer: 529.6482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42190*d - 1248*d + 17631*d - 26850*d.\nAnswer: -52657*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89 * 7879.01.\nAnswer: 701231.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 2, e: 1, n: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 12*u**5\/5 - 12*u**4 + 111*u**3\/5 - 96*u**2\/5 + 39*u\/5 - 6\/5 = 0?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*p**2 + 29 - 43*p - 17*p**2 + 8*p**2 wrt p?\nAnswer: 2*p - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 49505*d + 692868. What is c(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 29716*x\/7 + 29720\/7.\nAnswer: -4*(x - 1)*(x + 7430)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, s: 3, b: 4, m: 3}. What is prob of picking 3 m and 1 s?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2220112 - 2122221?\nAnswer: -12120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -3 + -1 + -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3 + 1026*h**2 - 5966*h - 1.\nAnswer: -12*h + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 6. Let p be i\/(-10)*(7 - 1) - -18. Solve -p = -10*g + 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*(3 - 0). Let m(i) = i - 3. Let f be m(6). Suppose -w*b + f = -b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.58919 nanometers to centimeters.\nAnswer: 0.000003958919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13569446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3372 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 42 = -4*a - 14, -a = 4*c - 22. Solve 2*s - 5 = -0*s + 5*x, -x = a*s + 1 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 + -0.25. Which is the third biggest value? (a) -2\/5 (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4540, 4619, 4732, 4885, 5084, 5335?\n\"Answer: u**3 + 11*u**2 + 39*u + 4489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -53*(-1)\/(-4*(-2)\/104)?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6420410 (base 8) in base 3?\nAnswer: -10012222221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -781*t**2 + 37*t + t**3 + 781*t**2 + (t**3 - 5*t**3 + 3*t**3)*(-3 - 2 + 12) in the form k*t + m + v*t**3 + h*t**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*8\/32*-6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1080, 2140, 3200?\n\"Answer: 1060*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l - 439*l**2 + 1471*l**2 + 6*l - 517*l**2 - 513*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 29350665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/8*1*2. Let y = -179 + 179. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:05 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - b**2 - 2 - 4717*b**4 + 4*b**3 + 4721*b**4 to o + i*b**2 + w*b**4 + p*b**3 + x*b and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.0926 millilitres in litres?\nAnswer: 0.5270926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**4 + 0*v**4 - 245 + 4*v**2 - 6*v**2 - 2*v - 322 to l*v**2 + d + r*v**4 + b*v**3 + j*v and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3000 and 54750?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -5.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 111948.6 nanograms?\nAnswer: 0.0000001119486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-182))\/((-10221)\/88582).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316*j**3 + 297*j**2 - 3*j - 7040697.\nAnswer: -948*j**2 + 594*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -101112120122 (base 3) to base 11\nAnswer: -131959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -539, -533, -527, -521, -515?\n\"Answer: 6*a - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4751 times -63.9?\nAnswer: 303588.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*b**2 - 1494*b**2 + 413*b**2.\nAnswer: -1383*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.88 - -65.88. Let c = l + -64.984. What is c rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 84. What is the highest common divisor of 115 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c - 20. Let i be (-53)\/(-11) + 6\/33. Suppose 5*s = -i*q + 55, -2*s + q = -q - 10. Solve 0 = c*m - r - s, 4*m - 3*r = 2*r + 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 12:28 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)\/(c*c*c**(-26)) assuming c is positive.\nAnswer: c**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 1 + 7 + 15 = 4*m, 0 = -25*g - m + 31 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (4 - (9 + 47)) + 23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*i - 74*i - 98*i + 5337 - 435 = 0 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, t: 4}. What is prob of sequence tk?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 0.11281.\nAnswer: 3.27149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 4. Suppose -5*g - 5*d = -5 - 30, -59 = -5*g + d. Let m = g + -15. What is the third smallest value in -1\/4, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1600, -4, -5, -407 in descending order.\nAnswer: -4, -5, -407, -1600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 + 38\/75)\/(42\/35)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*6)\/((-9)\/((-54)\/12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/5 + 22*s - 605 = 0. What is s?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53290029953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39504 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -740, 3, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*x = -55, -2*b + 6*x - 28 = 5*x. Let o be (30\/b)\/(-2) - (-14)\/(-91). Let g be 1 + 1\/2*o. Put -1\/4, g, 1\/2, -2 in descending order.\nAnswer: g, 1\/2, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(242))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -50*d**2 + 5*d**4 + 29*d - 33*d + 44*d + 0*d**3 + 5*d**3 = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2 and (-2)\/(-4)*(296\/10)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.517 + 0.617. Which is the closest to t? (a) -3\/10 (b) 2\/5 (c) -1\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**2))\/g**9*g**4\/g*g**(11\/4) assuming g is positive.\nAnswer: g**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:17 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/23)\/(o*o**10))\/(o**9\/o)**39 assuming o is positive.\nAnswer: o**(-7432\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -666, -2653, -5964, -10599?\n\"Answer: -662*p**2 - p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 7*o + 13. Let g be x(-13). Suppose -2*i + 3*f + 168 + g = 0, -3 = -3*f. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t + 3. Let c be s(3). Suppose l = -0*l - b + 2, -4*l - 3*b + 8 = c. Solve -5*k = -4*g + 24, l = -g + 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 1 = -4*n - 3*o, 0 = 4*n - 4*o + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -0.07. Let k = -0.8 - q. Which is the nearest to k? (a) -2\/7 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 1.169, 362, 4?\nAnswer: 1.169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2674 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**3\/3 - 1. Let r(c) be the second derivative of -c**3\/3 - c + 22. What is r(n(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10821694.\nAnswer: 2, 13, 416219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -j + 5*y, 2*j = 4*y - 18 - 6. Is (j - 37)*(-115)\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -12 - 0, 0 = -3*s - 5*o - 22. Let f = 14 - s. What is the remainder when -1 - -4*(0 + 28) is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m**5 + 327*m**4 + 3126*m**3 - 8732*m**2 + 2232*m = 0 for m.\nAnswer: -31, -18, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3408907 by 6.\nAnswer: -3408907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 20*c - 46 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39334 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.352 less than or equal to 46699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 43 - 33. Let d(f) = -10*f**3 + 11*f**2 + 8*f + 20. What is the thousands digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2174777\/57 + 38155. Calculate the common denominator of t and -59\/836.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 48 = 0. Let p be 3\/(5\/(140\/12)) - 3. Let l = p + 4. Calculate the least common multiple of l and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1231113 + 3001?\nAnswer: 1300120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 2:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199080 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9c (base 16) to base 2\nAnswer: 10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 2*d = 13*v - 284, -5*v + 355 = -2*d. Let w = -94 - -132. Calculate the remainder when v is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*p - 16*p + 3588. Suppose -3 = -9*z + 8*z, 2*b = 2*z + p. What is the greatest common divisor of b and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 4143.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, k: 1, s: 2, u: 2}. What is prob of sequence kfs?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 315794*f*v + 1242*f - 7 with respect to v.\nAnswer: 315794*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 8:15 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8599 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -1 + 2 + (-498 - -505) - -45.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyy when four letters picked without replacement from lpyyylllllypy?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 159904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41114373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2. Let x(v) be the second derivative of -2*v**3\/3 - 6*v + 4. Calculate x(n(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10233, -10197, -10129, -10023, -9873, -9673?\n\"Answer: h**3 + 10*h**2 - h - 10243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 69 and -35.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**35)**(11\/2) assuming z is positive.\nAnswer: z**(-187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9502283 millennia?\nAnswer: 9.502283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 4*a - 56 + 50 + 11*a. Let x be p(6). Let f(d) = -d - 12. Give f(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 3. Let m be j(-1). Suppose 0*v = m*z - 5*v - 65, 3*z + 3*v = 129. Suppose 12*t = 17*t - z. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-25)\/10*1\/(-5). Let x be (u - 1)\/(1\/1*-1). Solve 3*a + 1 - 4 = 3*h, 0 = x*a - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3248557 or -3248590?\nAnswer: -3248557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -22*k**3 - 3*k - 8. Let t(r) = 23*r**3 + 2*r + 9. Calculate 2*f(s) + 3*t(s).\nAnswer: 25*s**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b**2 - 7. Let f(n) = 5*n**2 - 3. Let k(m) = -7*f(m) + 3*l(m). Let y(v) be the first derivative of 0*v**2 + 2 - 3 - 3*v**2. What is k(y(r))?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73218.\nAnswer: 2, 3, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/19, 25, -4.2 in descending order.\nAnswer: 25, 4\/19, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-363)\/(-77)*(-539)\/231?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/15*2*5\/(-6). Let n be (-1 + -1)\/(12\/270). Let m be (-8)\/n + (-14)\/(-63). Which is the nearest to i? (a) 31 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 - 260 - 216)*(3 - 2*g - 4*g + 0*g + 5*g).\nAnswer: 103*g - 309","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9897.894 centuries to years.\nAnswer: 989789.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13425 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*v - 182*v + 206*v.\nAnswer: -52*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 3 - 3 - c**4 - 2 + 2 + (-31*c**2 - 967 + 967)*(2*c**2 - 5*c**2 + 4*c**2) + 0 - 13*c**4 + 0.\nAnswer: -47*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 9. What is the remainder when 51 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/442 and 36\/65.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 83*p - 108 - 59 - 103 + 330.\nAnswer: 83*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 5, v: 2, q: 1}. Give prob of picking 1 q and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24837124 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/2 + 15059*y**2\/2 - 90381*y\/2 + 135585\/2 = 0.\nAnswer: -15065, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 427*v**4 - 1313?\nAnswer: 1708*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 4\/5, -22, -1066, -2\/9, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -103, -29696\/11, 1?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 51?\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - l**2 + 8*l + 2. Let v be d(-9). Round v to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 2*p + 3. Suppose -14*x + 15*x = -z + 278, 0 = -3*z + 2*x + 859. Let u = z - 281. Determine c(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18361, -36647, -54933?\nAnswer: -73219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(24\/14))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqk when three letters picked without replacement from qjkqqkqjqkmkm?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*y - 16 = 7, -4*f + 4*y = -36. Solve -5 - 3 = -f*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 times -195?\nAnswer: -14625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59362515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-3 + 4) - -1. Let a(f) = -f**2 + 4*f. Let y be a(4). Suppose -d + 0*d + 1 = y. Solve z - n = -d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, t: 3}. Give prob of sequence iti.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -245*u**2 + 36502*u + 447. Give t(149).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68782033 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**14\/((v**(1\/4)\/v)\/(v**(-2\/59)*v)) assuming v is positive.\nAnswer: v**(1231\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/9)\/((-25)\/(-30))*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316*q**2 - 155*q**3 - 155*q**3 + 292*q**3 wrt q.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 - o**2 - 4*o - 4. Let g be y(-2). Suppose -3*u + g = 4*k, 4*k = 4*u + 2*k - 14. Suppose u*t + 5*q - 2*q = 445, 0 = q + 5. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -761.\nAnswer: 19\/761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*v + 24 = 0, 158*s - 160*s - 23 = 5*v. Let w(y) = 2*y. Let r(b) = -4*b. What is s*r(a) - 4*w(a)?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2 - 448*a + 2167. Calculate j(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 3*z**2 + 24 - 43.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491244?\nAnswer: 2, 7, 193, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 4*j - 320*j**3 - 263*j**3 + 4*j - 602.\nAnswer: -583*j**3 + j - 602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t + 12. Let r = 8 + -5. Find the third derivative of -2*x**r + 3*x**t + 5*x**3 - 5*x**2 wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -101716 minus 0?\nAnswer: -101716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 4*u - 8. Let a be p(-6). Let z be 5\/(-20) - 2\/(-8). Suppose -12*v - 2 = -10*v. What is the smallest value in a, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1177)\/535 - 14\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 99*(1218\/18 + -3). Suppose 78*y = 84*y - j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and -0.02?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-6)\/(-42))\/((-12)\/84))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 153*d**2 + 165*d + 90. What is the lowest common multiple of 6 and b(-75)?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13041 is divided by 229.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 19*p**2 - 6*p - 30. Give t(19).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 5*y = -39, 4 = -50*t + 51*t + 4*y for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 9*q**3 - 8*q**2 - 8*q + 95. Let l(n) = -7*n**3 + 6*n**2 + 7*n - 95. Let f(h) = -4*l(h) - 3*p(h). Differentiate f(a) wrt a.\nAnswer: 3*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157\/314*(2*2)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = u + 10, 3*u - 5 = q + 5*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 45?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 0.5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25167 and -25?\nAnswer: -629175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -700, 0.4, -11, -2, -1\/9, 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.041432965, -1, -0.05?\nAnswer: 0.041432965","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 3. Let d be w(-16). Let t = d + 22. Suppose t = p + 1. Solve p*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u + 4. Solve 2*j = d - 1, -4*d = -u*d + 2*j - 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 312.\nAnswer: -311.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 4. Let w(g) = -g**2 + 10*g + 5. Let f be w(10). Suppose -2*j - 11 = 3*a, 1 = -2*j + 5*a - 2. Let u(r) = 2*r - 5. Determine f*y(n) + j*u(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3 + j - 25.\nAnswer: j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -388*c**3 - 6*c**2 - 54*c + 2083. Let d(u) = 386*u**3 + 5*u**2 + 45*u - 2082. Let i(p) = 6*d(p) + 5*s(p). What is the derivative of i(k) wrt k?\nAnswer: 1128*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19727.\nAnswer: 19727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 108240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + 0) - -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 10. Suppose 4*f + 9*f = 52. Suppose -f*b = -30 - r. Calculate the remainder when 58 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g**2 + 6*g - 6. Let j be f(-4). What is the remainder when (-114)\/(-21)*(9 - j) is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 6)\/(49\/2 + -40 + 33). Which is the third biggest value? (a) -1.01 (b) 2 (c) -9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 11843.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 322*z - 324*z + 8. Suppose -4*r - 30*t = -25*t - 2983, z*r - 5*t = 2953. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -168725?\nAnswer: -168708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -10502?\nAnswer: -10454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose -5*j + 5 = 0, 4*t + t - 97 = p*j. What is the units digit of (-2)\/3 - t\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 1. Let d be g(-1). Let t(l) = 8*l**2 - 10*l + 2 + l + 13*l + 8*l**d. What is the tens digit of t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107*r**3 - 208*r**3 + 101*r**3 - 33*r**2 + 22*r**2 - 3*r - 2*r**4 + 1229 with respect to r.\nAnswer: -8*r**3 - 22*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in 0.5, 6, 2\/3, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 448425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.9, -0.1, 20, 2\/31, 32 in descending order.\nAnswer: 32, 20, 2\/31, -0.1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/6 and (-2)\/6 + 8055\/29430.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 33*m**2 - 10*m - 36. Calculate the least common multiple of x(6) and 30.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 30 = -8*d. Suppose -9 = -f - 2*f. What is the smallest common multiple of d and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 151463, 302942, 454449, 605996, 757595, 909258, 1060997, 1212824?\n\"Answer: 2*x**3 + 2*x**2 + 151459*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*j - 13 + 23*j + 15*j)*(4 - 4 - 2)*(-4 + 4 - 3*j**2 + (-j + 2 - 2)*(-3*j - 4*j + 5*j)).\nAnswer: 6*j**3 - 26*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - g**2 - 5*g + 5. Suppose 4*s + 2 + 22 = 0. Let f(u) = -2*u**3 - 3*u + 3. Let t(m) = s*j(m) + 10*f(m). Determine w, given that t(w) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164*g**3 + 11*g**4 - 3*g**2 - 2*g - 166*g**3 + 5*g**2 as z*g**3 + t + i*g + l*g**4 + b*g**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - i + 1, 6*g - g + 3*i = 3. Suppose g = -2*v - 5*j + 2 - 1, -4*v = -j - 13. Suppose -4*u = v*u - 9401. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-5))\/(252\/945))\/((-9)\/2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 + 11*x - 32. Let t(r) = -r**2 + 2*r + 10. Let u(a) = s(a) + 6*t(a). Let q be (1 + -4 - 1) + -18. What is u(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - -35313?\nAnswer: 35343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + 2)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2142 equal to 4912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 26*q. Let u(w) be the third derivative of -17*w**4\/24 - 2*w**2 + 2*w + 149. What is n(u(f))?\nAnswer: -442*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/29978 and -61\/10377?\nAnswer: 269802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w. Let d(n) = -3*n + 1376*n**2 + 3*n - 1446*n**2. Determine q(d(a)).\nAnswer: 140*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 30 = q. Let n = 4 + -19. Let x = -9 - n. Is q bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -2. Suppose 176*s - 1 = 177*s. Is s > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2 + 17*u - 9. Let q(x) = 5*x**2 + 8*x - 4. Let c be 1*(((-4)\/(-10))\/1 + 9964\/(-1060)). Give c*q(b) + 4*a(b).\nAnswer: -b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c = 141*c - 1584 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6 - 98*d**2 - d**3 + 91*d**2 + 1. Let u = -17 + 10. Give w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 28 - (14 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 4545*l**2 - 1500*l**2 - 1526*l**2 - 1519*l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -118191.1486 take away -0.2?\nAnswer: -118190.9486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = -2*d, 3*d = -2*m - m - 6. Sort 22, 3, m, -5 in ascending order.\nAnswer: -5, m, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a38 + -61?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/30)\/((-115)\/230*(24\/(-45))\/(-4))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -7, -20, -49, -100, -179, -292?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let f(t) = -512*t**2. Calculate w(f(s)).\nAnswer: 512*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -82. Let a be (2 - 3)*-23*(-3)\/f. What is the greatest common factor of 161 and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t**2 - 4*t**2 + 4 - 5 - 61*t**3 + 62*t**3 as h*t**3 + v + o*t + u*t**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 4, y: 1, g: 3, o: 5}. Give prob of picking 2 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**0)**(3\/11)\/(h**(-2\/15)*h\/h**3))\/((h\/h**(-2))\/h*h\/((h**(-5)\/h)\/h*h*h)*(h**(-1\/2))**(4\/19)) assuming h is positive.\nAnswer: h**(-16352\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200636 is divided by 66878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30094117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -7*o**5\/30 - 5*o**4\/12 + 2*o**3\/3 - 13*o**2. Solve u(y) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l - 9*l - 249 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -34?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -10. Let s(h) = q*h - 2 - 4*h - 7*h. Let v(p) = -p - 1. Give -s(j) + 4*v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 9*u + 1. Let f(g) = -2*g**2 - 45*g + 24. Let z be f(-23). Give q(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259415506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -4*b**7\/27 + 29*b**6\/135 + b**5\/90 - b**4\/27 - b - 5. Determine q so that w(q) = 0.\nAnswer: -1\/4, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -25, -1\/7, 0.2, 59 in decreasing order.\nAnswer: 59, 0.2, 0, -1\/7, -0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 680351, 1360703, 2041055, 2721407?\n\"Answer: 680352*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/9 - 2010\/(-270)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9405\/275 - 37) + (-174)\/(-180)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349500633.\nAnswer: 3, 83, 1403617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 3*b - 2. Let v = 4 - 2. Suppose v*i = 6*i - 52. Calculate the remainder when l(2) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18738 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*d**3 + 564*d**2 - 162640?\nAnswer: -30*d**2 + 1128*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38516 + 73337. List the prime factors of q.\nAnswer: 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -1.9. Let l = 1.3 + t. What is the second smallest value in -2\/7, l, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 47*u**2 + u + 2. Is 16 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -22. What is the units digit of 0\/(-4) - (-70 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 138 = 2*v. Let o = -62 + 30. Let y = v + o. What is the greatest common divisor of 152 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3618, -14584, -32896, -58548, -91534, -131848, -179484?\nAnswer: -234436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1710 - -3557. List the prime factors of h.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -77, -86, -95?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 4, n: 10}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, 74 in increasing order.\nAnswer: -8, 6, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.1. Let f = -16518 + 16512. Which is the nearest to 0.2? (a) f (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44300 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 14. Suppose -5*r + 20 = v - g*v, -v + 2*r = 7. Let j be (-30)\/18*v*3. Solve j*u = 4*w - 0*w - 5, 5*w + 4*u - 37 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g**3 - 8251*g**2 - 323999.\nAnswer: 36*g**2 - 16502*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -3\/7 (c) 0.6 (d) 4\/3 (e) -13 (f) -2\/7 (g) -109\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 5 (c) -2\/2743\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sooroosurrrotuquqqro. Give prob of picking 2 r and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*t + 109*t + 10536 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 122557675 - 0?\nAnswer: 122557675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -4, -9, 0.21, 4, 2\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 1, -1\/5, 607, 1\/2, 4\/115?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/21)\/(2\/(-7)). What is the third derivative of m*b**2 - 5*b + 3*b**3 + 5*b wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29650278533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 816*r**3 - 3 - 3 - 840*r**3 + 1652*r**3 as q*r**3 + u*r + p*r**2 + c and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 3980*x**2 - 481568*x + 279910208 = 0. Calculate x.\nAnswer: -596, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**2 + 1133*y - 91. Determine n(-162).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -148470 and -5.\nAnswer: -148475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 21*l**2 + 362*l - 10. Let f be x(-18). Calculate the highest common factor of f and 973.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772108933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 3*w + 90 = 0. What is the greatest common divisor of 90 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*q - 1337 = 0, 7*b + 5*q = 2*b + 3360. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 8*m + 22. Let i be x(4). What is the greatest common divisor of 27 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7144, 29066, 65766, 117244?\n\"Answer: 7389*h**2 - 245*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, d: 6, r: 3, z: 2, k: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 156?\nAnswer: 62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 1, a: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l - 13*l - 22*l**3 + 30*l**3 - 84*l**3.\nAnswer: -76*l**3 + 92*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115.996 - -116. Let v = m + -5.004. What is the nearest to 0.2 in v, -0.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g - 404 = -614 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6039, 6005, 5971?\n\"Answer: -34*h + 6073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177154 (base 8) in base 5?\nAnswer: 4041012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137753, -275391, -413033, -550679, -688329, -825983, -963641?\nAnswer: -1101303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by -47?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 873 - 926.6. Let t = h + 54. What is the closest to t in 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 19*q**2 + 248*q + 85. Give z(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 63*j. Let a(c) = -327509*c. Calculate s(a(l)).\nAnswer: -20633067*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-213 - (-49 + -28)) + 6?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 1092, 1613, 2130, 2643, 3152, 3657?\nAnswer: 4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50222077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 11. Calculate the remainder when 367 is divided by x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/(18\/1296*-4)*5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(2\/((-3)\/((-6)\/(-20)))). Let y = 178\/9 - f. Put -0.2, -2, y in decreasing order.\nAnswer: -0.2, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -15071?\nAnswer: -1507.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tddwtdtdtdt. Give prob of picking 1 d, 1 t, and 1 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k + 1. Let r be p(-1). Let q be -3 + r\/9 + 0. Which is the biggest value? (a) 4 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0, 1, -14\/13, -1\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let f(n) = 0*n + 1 - 4*n - 4 + 8*n. What is f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*v, -v + 4*v = 4*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10797062 to the power of 1\/2, to the nearest integer?\nAnswer: 3286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**6\/420 - 2*p**5\/105 + p**4\/21 - 77*p**2\/2 + 32*p - 2. Let d(m) be the first derivative of h(m). Factor d(v).\nAnswer: 2*v*(v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 57, 90, 145, 228, 345?\n\"Answer: x**3 + 2*x**2 + 4*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*w**2 + 18*w**3 - 133*w**2)*(-41 - 5 - 114 - 43).\nAnswer: -3654*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 - 4.532. Let a = g + 65.132. Let f = 64.938 - a. Round f to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66195 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**(1\/35)*y**(-2\/13)\/(y**(2\/3)*y))\/((y**(-1\/2)\/y*y)**(-34))**(-5) assuming y is positive.\nAnswer: y**(567778\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*a = 78*a + 37. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 + 20*q**3 - 8*q**3 - 3*q + q + q + 2*q + 5*q**3.\nAnswer: 8*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -118 + 60 + 57. Let o(g) = -5*g + 3. What is -6*h(b) - 2*o(b)?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + r - 1. Let m(t) = -9*t**2 - 19*t - 2. Let y(g) = -2*m(g) - 6*z(g). Determine n so that y(n) = 0.\nAnswer: -5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178\/1940861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -337 + 360. Solve -29 = 6*b - z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 + 144. Suppose 4*b + u + 0 = 0. Solve b*w - 7 = -f + 3*w, 0 = -3*f + 4*w + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*i*l**3 - i*l**2 - 13*i*l + 3*i - 29321*l**2 + 1505*l + 46 wrt l?\nAnswer: 330*i*l - 2*i - 58642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from tuwvftwfxwfvxvfxx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 2) + 44 - 23?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4554 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.5. Let g be 70\/21 + 4\/(-2)*1. Let x = 22.9 + -23. What is the nearest to 2\/3 in g, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30013 (base 6) in base 14?\nAnswer: 15c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b**4\/9 - 9826*b**3\/9 + 29578*b**2\/9 + 9826*b\/9 - 9856\/3 = 0 for b.\nAnswer: -4928\/5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f**2 + 3*f**2 - 3*f**2)*(2*f**2 - 12*f - 26*f + 70*f) to k*f**3 + g*f + o + a*f**4 + h*f**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 271 + -259. What is the highest common factor of 30 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1861215 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749567775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 + 552663 + 2*y**2 - 3835*y**4 - 546524 wrt y.\nAnswer: -15340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51336459 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 12 = -4*q. Calculate the remainder when 12 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/5*(-6)\/21. Suppose 2*g = g + z. What is the second derivative of -2*n**3 - n - n - 5*n**3 - g*n wrt n?\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*r**2 - 54*r + 645?\nAnswer: -16*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s)\/s*s**23 assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 9. Let y(h) = -h**3 - 8*h**2 - 7*h + 5. Let k be y(-7). Solve o - w = 3*o + 13, n*w = 5*o - k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 17. Suppose -32*f + r*f + 1651 = 0. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m - 4*y + 8, 13 = -m - 4*y. What is the third derivative of -m*a**5 - 14*a**6 + 83*a**2 + 2*a - 2*a + 12*a**6 wrt a?\nAnswer: -240*a**3 - 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10170*z - 73. What is the tens digit of t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + d - 6 + (-1 - d + 1)*(-3 - 1 + 2 + (-2 - 1 + 6)*(-2 + 2 - 2)) to y + f*d and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3728118 (base 9) to base 5\nAnswer: -1004323333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16866, 33716, 50534, 67314, 84050, 100736, 117366, 133934?\n\"Answer: -c**3 - 10*c**2 + 16887*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*n + 87*n = -107*n + 45. Calculate the greatest common divisor of 1735 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*d**5 + 8096*d**2 - 10*d**3 - 2200*d**2 - 14*d**5 + 345*d**5 wrt d.\nAnswer: 20520*d**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1014321033 + -103?\nAnswer: 1014320530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 43, 72, 105?\n\"Answer: 2*x**2 + 19*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + 2*r**5 - 3*r**5 + (0*r**3 - 2*r**3 + 3*r**3)*(-3*r**2 - 7*r + 7*r) + 2*r**5 + 0 + 0 + 4*r**5 - 2*r**5 + 0*r**5.\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3204127 or -3204122?\nAnswer: -3204127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 38. Let f be (12\/b)\/((-6)\/15). Let s = 41\/3 + -14. What is the nearest to f in 2\/9, 5, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/13)*g**4*g)**2 assuming g is positive.\nAnswer: g**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 0.5 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-564 - 51*m + 558 - 12*m - 19*m)*(0*m + 4*m - m).\nAnswer: -246*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 38?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w**2 - w**2 + 0*w**2)*(-3*w + 3*w + 2*w**2) + w**4 - 5 + 5)*(-1 + 1 + 4 + (3 - 6 + 2)*(3 - 4 + 0))*(2 - 4 + 3).\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.9. Let d = -0.19 + 0.17. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -1191, -2660, -4705, -7320, -10499, -14236?\nAnswer: -18525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 4*c + 4. Let y be v(4). Sort 5, -3, y in increasing order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*p - 15 + 15)*(0*p - p + 6*p).\nAnswer: -170*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/8049445 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*q + 12 = 150*q. Suppose 3*v = 5*d, v + q*v = -3*d. Let f(o) = o**2 + o - 1. Calculate f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1386, 1384, 1382, 1380?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -1\/12 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2935.6595 * -1.4.\nAnswer: -4109.9233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 - 518*x**2 + 33710*x - 497994 = 0. What is x?\nAnswer: 21, 71, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -13\/3, -2\/5?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -9*i + 940. Let k = i + -90. Solve b - 2 = -2*x, 12 = k*x - b - 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1327947294 to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*1*(-10 - 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143\/3 + -21. Let o = t - -69. Factor h**2 + o*h**4 + 0 - h**3 - 1\/3*h.\nAnswer: h*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 48. Let l be u(23). What is the units digit of 1196\/3 + l\/12*-10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**3 + s + 2. Let w(k) = -8*k**3 + 3. Let o(p) = -2*w(p) + 3*y(p). What is the second derivative of o(r) wrt r?\nAnswer: -30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54928.9152 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s + 1. Calculate x(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 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: Evaluate (-45)\/(-126)*-7*(-196)\/(-35).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c**2 + 0*c**2 - c**3 - 4 + 2*c**2 - 5*c. Give w(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -165, -69?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/3 (c) -0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 11. Let j(c) = -3*c - 21. What is -7*b(o) - 4*j(o)?\nAnswer: -2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 2*z - 2. Let h(o) = -6*o**2 - 2*o + 6. What is h(c) - s(c)?\nAnswer: -5*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10693 is divided by 294?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:11 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(1 - 4 + 2)*(o**3 + 6*o**3 + 2*o**3) as m*o**2 + r*o + l*o**3 + f and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-276)\/24)\/(-23))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5695936*c**3 + 860*c**2 + 1097*c + 1.\nAnswer: 34175616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/7 and 8\/326679.\nAnswer: 2286753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 6 = -g, 4*n = 13*g - 10*g - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 745191257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 17 (c) 0 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 5, n: 5, z: 2, s: 5, q: 1}. What is prob of picking 1 s and 1 q?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:36 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3 + 31*i**2\/2 + 80*i. Let a be t(5). Which is smaller: a or 14\/23?\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -2*g. Suppose 3*w = 3, 2*v + 0*w - 5*w - 11 = 0. Let x = v - -9. Calculate the remainder when x is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5487 and -4.\nAnswer: 10.1948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13118 is divided by 2623.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(1 - 0)*12\/56*(-572)\/7722.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-10) - 0 - 4\/1. Sort g, -5, 1 in decreasing order.\nAnswer: 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (6 + -2 + -2). Suppose -4*t = y*j - 172, t = -2*j + 254 - 67. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/sqrt(6)*4.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 52 = -c. Suppose -c - 38 = -2*i - 4*u, 220 = 5*i + 5*u. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 15*c**2\/2 + 19*c + 3979. Give s(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6254 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 6*n - 327. Calculate f(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -241\/4 less than -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*n**3 + 1 + (n + 2*n - 2*n)*(-92*n**2 - 81*n**2 + 23*n**2) + 2*n**3 - 3*n**3 - n**3 to the form x*n + l*n**3 + w + o*n**2 and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 * 441\nAnswer: -29.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2730 by 3.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(-1*sqrt(363))**2 + -4 - (4*(sqrt(108) - (-1 + sqrt(108))) - sqrt(108)*1*-5)**2*1.\nAnswer: -1991 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.22 + 0.02. Let s = 3.8 + -3. Let n = s - d. Which is the nearest to 1\/2? (a) n (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:59 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -14*r + 16*r. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13 - i + 13 - 20*i**2 - 24 wrt i.\nAnswer: -40*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*(4 + 128\/10). Calculate the greatest common factor of i and 8022.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/27*(4\/8)\/(-10*(-3)\/108)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29698 - 1.\nAnswer: 29697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.3 + -35. Round i to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97.3425 + 8.3303. Let l = 89 + b. What is l rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(((-4)\/14)\/((-956)\/28441))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide -3 + 7 + 218344\/70*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 212 = 4*k + 2*f, 3*k - 207 = 3*f. Let p = 0 + 22. Calculate the smallest common multiple of k and p.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 352 * 49\nAnswer: 17248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 2223*x - 265950.\nAnswer: -3*(x - 591)*(x - 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107720, -107718, -107716?\nAnswer: -107714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/11 - 3847710*s**3\/11 + 23086204*s**2\/11 - 30781584*s\/11 = 0.\nAnswer: 0, 2, 4, 1923849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 and (-17)\/(-15)*(-42)\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-10))\/((-18)\/(-288)). Which is smaller: r or -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/603499336 and 51\/103036472?\nAnswer: 4224495352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i**2 + 4*i**2)*(398*i**2 - 8*i**2 - 8*i**2 + (0*i**2 + 5*i**2 - 4*i**2)*(-1 + 2 + 1)).\nAnswer: 384*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 310640*h - 101169250.\nAnswer: 2*(h - 325)*(h + 155645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 19*h - 9\/2*h**2 + 2 - 5\/3*h**3 - 1\/12*h**4. Suppose i(w) = 0. Calculate w.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12 and 45\/(-30) + (-117)\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4\/5 + 129*l**3\/5 - 1761*l**2\/5 + 8187*l\/5 - 6552\/5 = 0?\nAnswer: 1, 8, 13, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -14934 = -14935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*d + 1939 - 1197 = -1519 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2970 - -4524. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*w - 12. Put 5, w, 0 in ascending order.\nAnswer: 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 123885.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -160*v - 386. What is the ten thousands digit of d(-148)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -52. Let f = g + 51. Solve c - 5*o = -c + 10, 8 = -f*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 11\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17337340, 17337349, 17337364, 17337385, 17337412, 17337445, 17337484?\nAnswer: 17337529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/93637 - -3277647\/16480112. Calculate the common denominator of d and -103\/304.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 2*w + 3, -3*w + 5*p + 1 = -27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -29*l**3 + 2*l**2 + 4*l + 4. Let j(d) = -14*d**3 + d**2 + 2*d + 2. Suppose 14 = -v + 5*o, 12 = 4*v - 15*o + 12*o. Calculate v*x(m) - 13*j(m).\nAnswer: 8*m**3 - m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 27 = -2*l - 1, 5*h - 2*l - 28 = 0. Solve -4*x - h = -y, 2*x + 2*y + 2 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -14.7. Let r = m + 0.5. Let w = 7.9 + -7.8. What is the nearest to -0.3 in -0.1, w, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.45 - -7.45. Let z = -10 + 7. Sort w, 0.4, z.\nAnswer: z, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 - 199 = 15*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1501\/247)\/(340\/26 + -13)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77228, 77236, 77246, 77258?\nAnswer: 77272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 30 = -62. Suppose n*o + 2*z = z + 5420, 6775 = 5*o - z. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*v + 4*v. Suppose 2*j = -v*p - 0 + 36, 59 = 3*p - 2*j. Let m(d) = -p + 19 - d - 4*d. Let f(k) = -4*k**2. Give f(m(l)).\nAnswer: -100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 47*b**2 + 21*b - 20. Let p be x(-23). Suppose -34*h + p*h + 4952 = 0. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191798 is divided by 469?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + sqrt(2736)*-1 + -5 - (-3 + sqrt(2736)*2 - sqrt(2736)))**2 - (-5 + (-1*sqrt(2736)*4 - (sqrt(2736) + 0 + -2)))**2.\nAnswer: -68405 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(9\/7))\/(w\/w**(-20)*w) assuming w is positive.\nAnswer: w**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/6*y**4 + 0 + 8*y**2 + 2\/15*y**5 + 0*y**3 + 0*y. Find the second derivative of m(x) wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 12:17 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 14. Let u be d(-12). Suppose 7*g + v = u*g + 4, 3*g - 16 = -4*v. Solve 4*s - 15 = -5*c - 55, -c - 4*s - 24 = g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 460105400 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 5, -3\/8, 0, 445 in descending order.\nAnswer: 445, 5, 3\/7, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95 from -755918733.2.\nAnswer: -755918828.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16147, 32454, 48897, 65482, 82215?\n\"Answer: r**3 + 62*r**2 + 16114*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4, -4*p + 3*z + 2*z = -222. Let c = 61 - 37. Let l = p - c. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 283 + 363 = 11*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.397 + -2.097. Let w = -5.01 + 0.01. Sort w, f, -1\/3, 0.5.\nAnswer: w, -1\/3, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2 - 29700*r - 8472800 = 0. Calculate r.\nAnswer: -280, 15130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -26*y**2 + 21111*y - 124927. Calculate f(806).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o)*(341*o**2 - 159*o**2 - 169*o**2).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 8*n + 73. Let w be h(-12). Let u = -117 - w. Let j = 0 + 0. Solve u*m + j = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*h - 6. Suppose -5*x + 2*d = 16, -4*x - 1 + 5 = 4*d. What is the nearest to h in -3, x, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2626 + 2627. Calculate the highest common factor of c and 113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19)*2 + 5).\nAnswer: -6*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996472?\nAnswer: 2, 479, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 - u**3 + 8*u**3)*(4*u - u + 2*u) + (u**3 - u**3 - u**3)*(5 - 5 + 6*u) + 3*u**4 - 10*u**4 - 2*u**4.\nAnswer: 10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -2392014.\nAnswer: -3\/797338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (0 + -21)) + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - i. Let s(j) = -3*j**2 + 16*j - 19. Let x(o) = 2*n(o) - s(o). Let t be x(17). Suppose -t*d - 2*d + 12800 = 0. Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/132 - 1055\/2508. Let t = p - -25\/133. What is the common denominator of (((-20)\/6)\/(-1))\/(-2) and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001101100010100011 (base 2) in base 13?\nAnswer: 2c869a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679326069 to the power of 1\/3, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-6))\/(1\/3). Let s be (130\/(-25))\/(2\/l). Let n = s + -18. Calculate the greatest common divisor of n and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 213\/355*80\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*q + 1434, 25*o = 23*o - q + 716. List the prime factors of o.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + i**2 - 4*i - 2. Let g(j) = -16*j**3 + 6*j**2 - 21*j - 11. Let d(f) = 11*b(f) - 2*g(f). List the prime factors of d(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x + 32*x = -30*x + 4788. Solve -127*j = -x*j - 104 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1277.9 - -1355. Let o = 77.10000571 - b. What is o rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -90. Let a = t + -45. Suppose a = 7*x - 31. Solve x*o - 4 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 32*q**2 - 37*q + 12. Let a(s) = s**3 + 19*s**2 + 18*s - 6. Give -5*a(u) - 3*j(u).\nAnswer: u**3 + u**2 + 21*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2557*j**2 + 850*j**2 + 1853 + 848*j**2 + 856*j**2 to the form a + n*j**2 + v*j and give a.\nAnswer: 1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6363334, -12726664, -19090004, -25453360, -31816738, -38180144?\nAnswer: -44543584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143775817?\nAnswer: 139, 8228603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3326 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34634, -34612, -34584, -34550, -34510, -34464, -34412?\nAnswer: -34354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24232052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 i when three letters picked without replacement from {u: 1, j: 1, i: 1, s: 3, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -42?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 26*b**4 + 114*b**3 + 176*b**2 + 119*b + 30.\nAnswer: -(b - 30)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 15*z - 12. Let i be f(16). Let w(u) = -4*u - i*u - 4*u + 2. Let c = 1950 - 1948. Calculate w(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*r + 138*r + 140*r + 167*r - 735*r + 142*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23945 * -485\nAnswer: -11613325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(-11)\/(-15) + 2\/15. Put -1, -9, l in descending order.\nAnswer: -1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 941*k**5\/60 + 559*k**4\/24 - 981*k**2. What is the second derivative of x(t) wrt t?\nAnswer: 1882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**3\/3 - 583. Let m(k) be the second derivative of -k**3\/3 + 2*k**2 + 30*k. Give m(g(c)).\nAnswer: -2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/275)\/(117\/(-195)) + (-12)\/140.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147072 is divided by 73514?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4003*c - 28620. Give p(-7).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**2 + 5*q + 97. Let l(h) = -8*h**2 + 3*h + 79. Let p(z) = -5*l(z) + 4*y(z). Let j(i) = -24*i**2 - 14*i + 20. Determine 5*j(a) + 14*p(a).\nAnswer: -8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 816 and -1070043751.\nAnswer: -1070042935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzt when three letters picked without replacement from {g: 13, t: 1, z: 1, y: 5}?\nAnswer: 13\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7006 divided by -8357.\nAnswer: -7006\/8357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82 + 137?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-125)\/((-6)\/13344*-4). Round f to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/360*(-30)\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (273\/135 - 2)*(-5)\/(-12). Let q(j) be the third derivative of 0*j**3 + 6*j**2 - 1\/270*j**5 + 0 + 0*j + i*j**4. Let q(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -534 and -5?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(60)\/sqrt(96)))\/((-2*sqrt(7776) - sqrt(7776))\/sqrt(9)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*6441490.7\nAnswer: 19324472.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*w + 36. Suppose -5*h + 15 = -2*h. Suppose 33 = h*g + w. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 406492110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.2 - -22.8. What is the fourth biggest value in 11, 3, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*-0.2\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 11 = 23. Solve -n + c - 1 + 6 = 0, q*c = -3*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31\/(-2) - (-2)\/4. Suppose -5*u - 4*g + 31 = 0, -4*u + 32 = g + 4*g. Let q be (u\/16)\/(w\/10). Which is the nearest to -0.1? (a) -0.4 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.2 - 9.2. Let c = -479.368 + 441.37. Let l = q + c. Round l to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365090\/78 + 28\/91 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.40975 + -2359.\nAnswer: -2358.59025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2481, 2529, 2593, 2679, 2793, 2941, 3129?\n\"Answer: t**3 + 2*t**2 + 35*t + 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -1573 in increasing order.\nAnswer: -1573, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1032\/(-16))\/((-3)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50338 - 27517. Suppose 0*q - q = 4*t - l, 11409 = 2*t + q. Suppose -t = -8*g + 2*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 110, 182, 314, 524, 830, 1250?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 51 - (-2 - -11) - (-5 - (2 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34112 - 12190. List the prime factors of b.\nAnswer: 2, 97, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 7*v - 20 = 0. Solve -5 = 5*c - v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3789 or -3810?\nAnswer: -3789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 8 + 7 - 3*v. Let b be t(7). Solve 5*h = -b - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10267 - -1393. What is the ten thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158305079 plus -13236?\nAnswer: 158291843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -42 - 58. Calculate the remainder when 168 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8))\/((-14)\/((-5488)\/42)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(312) - sqrt(312)*1))\/(-2*sqrt(726)))\/((1*(sqrt(144) - -3*sqrt(144)) + sqrt(144))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.511 millennia in decades?\nAnswer: 30551.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-654)\/11118*17\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 4*c**7\/105 - 7*c**6\/60 - 331*c**5\/20 + 2*c**2 + 198. Find the third derivative of r(x) wrt x.\nAnswer: 192*x - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k**3 + 28*k**2 - 7*k - 176. Let f(u) = 6*u**3 + 16*u**2 - 3*u - 88. Calculate -7*f(v) + 4*z(v).\nAnswer: -2*v**3 - 7*v - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, v: 5, j: 1, p: 1}. What is prob of sequence jnpv?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**2*w*x**3 - 25*g**2*w*x - 9*g**2*w - 8*g**2*x**2 - w*x**3 - 2*x wrt x?\nAnswer: 114*g**2*w*x - 16*g**2 - 6*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*g**5\/3 - 708*g**4 + 9148*g**3\/3 + 322872*g**2 - 2790144*g - 282240 = 0. Calculate g.\nAnswer: -42, -35, -1\/10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*182\/(-52)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*(-5*g + 2*g + 0*g)*(2 + 8 + 1) as a + x*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1189\/12 - 94. What is the common denominator of -7\/16 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**22*u*u*u**(-29))\/((u\/(u\/(u\/u**(7\/2)))*u)\/u)**(1\/50) assuming u is positive.\nAnswer: u**(-99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -198, -506, -1114, -2124, -3638?\nAnswer: -5758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 127. Sort i, -0.5, 2 in increasing order.\nAnswer: i, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2465050 (base 9) to base 14.\nAnswer: 26d18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 36*n - 84. What is the greatest common divisor of n and 12004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 11:21 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 17*j - 10. Determine r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*d**4 - 22*d**4 + 43*d**4 + 20*d**2 wrt d?\nAnswer: 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n. Let p(l) = -4*l**2 + 0*l**2 + 7*l**2. Calculate p(o(x)).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9.3 (b) 1 (c) -4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:46 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192.98 + -193. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/12*(-9)\/14)\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 112?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o - 6. Let d(n) = 22*n - 11. Let i(y) = 5*d(y) - 11*p(y). What is the first derivative of i(x) wrt x?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-2)*(-8)\/24. Let l(i) = 3*i**2 - 18*i + 18. Let d(x) = 2*x**2 - 12*x + 12. Let z(y) = -7*d(y) + 5*l(y). Calculate z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -107*b - 68. Sort -8, b, 5 in decreasing order.\nAnswer: 5, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-48))\/(1\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 1479648?\nAnswer: 34031904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(28))*4 + sqrt(28)*-1*-5 + sqrt(28))**2*-4.\nAnswer: -12800 + 3200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -427 - -641. Which is the closest to 1\/3? (a) i (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w - 245. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-3))\/(70*(-5)\/(-3850)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.033. Let o = -4.233 - d. Round o to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1))\/(4 + -3). Let a be x + -2*1 - 2. Let f = 6 + a. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 30 = 10. Calculate the least common multiple of 14 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 8198*g - 68354183.\nAnswer: (g - 13327)*(g + 5129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101258787 or 101258789?\nAnswer: 101258787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -345. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 2*n**4 - 3*n + n**4 + n**3 + 9*n - 1 to a*n**4 + d*n**3 + u*n + r*n**2 + v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - -0.4. Let w be -2*(33\/(-6) + 6). Which is the closest to 0.1? (a) w (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 30*z + 362 = -29*z, 5*g - 2*z = 1768. Calculate the greatest common factor of 28 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25 + (-9 - -4) - 4. What is the second derivative of 16*w - k*w**4 - 17*w**4 - 38*w + 1 wrt w?\nAnswer: -396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q + 11 - 50 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 227 + 47144?\nAnswer: 47372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, and 1 s when three letters picked without replacement from wszszb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 9 = -v + 4*l, 2*l - 6 = 0. What is the fourth smallest value in 6\/7, 5, -1, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35580109?\nAnswer: 35580109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34, 174, 420, 772, 1230, 1794, 2464?\n\"Answer: 53*z**2 - 19*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598*d**3 + 766*d.\nAnswer: 3588*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 plus 1203766974?\nAnswer: 1203766928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/284940 and -151\/20970.\nAnswer: 66391020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45852, -91716, -137582, -183450, -229320?\n\"Answer: -s**2 - 45861*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177 - 176 - (2 + -2 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {k: 6, j: 3, y: 3, l: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(3\/13)*c*c))**(3\/11)\/(c**10\/c)**(-21) assuming c is positive.\nAnswer: c**(26979\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -4*z - 4, -3*x - 9 = z. Suppose -4*a + 2*a = z. Sort a, -4, 3.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(-2806)*-69)\/(4\/(-4)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.31 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22546341 to the power of 1\/2, to the nearest integer?\nAnswer: 4748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 769077?\nAnswer: 769077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 13.04. Which is the biggest value? (a) 4 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664.7649 decades in years?\nAnswer: 6647.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 192*g**2 + 641. Let t(q) = -q**2. Determine t(d(y)).\nAnswer: -147456*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2))**(1\/2)*x**1\/(x**(-5\/4)\/x*x)*((x*x**(4\/3)*x)\/x)\/(x*x**(-1\/2)*x*x)*(x\/x**(-3))\/x**(3\/4) assuming x is positive.\nAnswer: x**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irr when three letters picked without replacement from mrrmmimmrrmmmmim.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*h - 24, 4*h - 4*k + 7 - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 8*u**2 + 3*u + 25. Does 7 divide r(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*s - 2 + 2 + (1 - 1 - 4)*(0*s + 4*s - 5*s) in the form a + q*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0.5, -2, 5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-7 + 5)) + -17\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose 5*u - 15903 = 32*u. Let b = 840 + u. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10493.34 - -0.035?\nAnswer: 10493.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*c - 3 + 8 = 0, -2*c + 4 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 1 - 2810*h**3 + 0*h**2 + 2761*h**3 + 2*h + 7 to s*h**2 + l + g*h**3 + c*h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-10)\/320*-36\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -9*m + 141. Let f = m + 47. Solve -5*q - x = -11, 2*q + x + 3*x + 10 = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 55811?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x + 138. Suppose -m - 2*m = x. What is the units digit of (-1 - (m - 3)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.67417273 and 0.4.\nAnswer: -0.269669092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 939 and 33163289.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Suppose -h = -2*t + 11. Suppose 0 = t*n - 3*n + 365. What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1727160 by 1110.\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v**3 + 0*v + 0 + 0*v**4 - 1\/30*v**5 - 13*v**2. Let z(k) = -3*k. What is z(s(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -475309371+-10.08\nAnswer: -475309381.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 293*w**2 + 14357*w - 10. Determine k(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 6) to base 8.\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 0*r + 3*r - 526*r**2.\nAnswer: -526*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/(-145)*10\/(-72).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a. Let l(s) = -s + 21. Calculate l(n(g)).\nAnswer: -19*g + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*t - 3*r, -5*t + r - 2*r = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 627 = z - 0*z, 2*r - 264 = 4*z. Suppose f = 2*f + 47. Let t = r + f. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479\/504 + -43\/126. Suppose -b = 4*q + 4, b - 2 = 2*q - 2*b. Calculate the common denominator of x and 196\/(-60) - (q + -2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 2*a**2 + 17*a + 7. Let g be t(-3). Sort -1, -3, g in descending order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -4\/6603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 202? (a) -1 (b) -1\/6 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40525 - -4?\nAnswer: -40521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.26 + -2.34. Let m = t + 40. Does m = -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkfl when four letters picked without replacement from {f: 2, l: 4, k: 4, p: 7, n: 1, q: 2}.\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -4*u + 4*t + 28, -t = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(2 + (-10)\/4). Let f = -12 - -14. Suppose f*r = 4*r - 28. Calculate the greatest common divisor of u and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3\/2, 752, 4, -23, 0, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9578 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 + 2 - 10*c + 10*c + (c + 2*c - c)*(c - 2*c**2 - c) + 0*c**2 + c**3 + 0*c**2 - c**3 - c**3 + 0*c**3.\nAnswer: -c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -c**6\/40 + 9*c**5\/20 + c**4\/2 - 18*c**3 + 22*c**2 - 4. Factor r(t).\nAnswer: -3*(t - 9)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 2516. Is c\/(-4) - 6\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14664 + -14659. Let s(k) be the first derivative of 0*k**3 - 1\/54*k**6 - 2\/45*k**x + 0*k**2 - 1\/36*k**4 + 30 + 0*k. Factor s(v).\nAnswer: -v**3*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -462.2 + 462.200679. What is c rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.2508 and 23.69?\nAnswer: -503.431452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = 3*r + 8, 3*r - p = -7. What is the units digit of (1\/r)\/(6\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 2*s + 3. Let h(q) = -q**2 + q. Let i(b) = 3*h(b) - m(b). Let y be i(5). Let j = -5 + 1. What is the third biggest value in j, y, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-6)*(-27)\/(-15). Suppose 3*l = l + 24. Solve -a*h + l = 2*k, -2*k = 3*k - 15 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 divided by -1?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 5477133?\nAnswer: -1\/1825711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c**2 + 3*c + 15. Let y(k) = 20*k**2 - 3*k - 1. Let n be y(2). Let x = n - 81. Is j(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4*p - 16336 - 16331 = -32675, 30*p - 176 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)\/s**(3\/8))\/(s**(2\/59)\/(s\/s**(-17))) assuming s is positive.\nAnswer: s**(106995\/6136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -33, -36, -37, -36?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 12*z - 9*z - 7 = 0, -z = 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52*u + 52*u + 2*u**3)*(0 + 0 - 2*u)*(-14 + 6 - 4) to t*u**3 + f + d*u + l*u**4 + z*u**2 and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12118980 and 113\/1143300.\nAnswer: 60594900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -z - 2, p - 1 = -5*z + 3*z. Calculate the common denominator of -61\/18 and 194\/(-36)*z\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssppspsssppp?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25163080 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k - k**2 + (-6 + 5 - 1)*(3*k**2 - 5*k**2 + 4*k**2) - k**2 + 0*k**2 + 7*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p + 36. Let t = 34 + p. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/3, -2, 6, -2\/21, -1\/12 in decreasing order.\nAnswer: 6, 2, -1\/12, -2\/21, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28403 + -795437\/28. Let q = k + 31615\/5796. Let l = q - 136\/207. Which is the second smallest value? (a) -2\/15 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**3\/3 - 3587. Let g(n) = 2512*n**2. Give l(g(m)).\nAnswer: 12620288*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.58 - -29.08. What is the smallest value in -1\/41, d, 0.1?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 591287 in decreasing order.\nAnswer: 591287, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 + 74. Let h(y) = -y**2 - 6*y + 2. What is the smallest common multiple of h(-6) and (1 - w - 2) + 3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and -98446?\nAnswer: 98478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/17)\/(1 + 8\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 5. Suppose -y - y + 2*i = -2, -4*y + s = -3*i. Let r(n) = -n**3 + 5*n**2 + 6*n + 3. What is r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2323 - -2326. Which is greater: 284 or t?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -2*g + 10 = -5*r - 13, -3*g + h*r + 22 = 0. Let c be 0 - -7*(-6)\/756. Which is smaller: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/120 - 5*p**4\/24 + p**3\/2 - p**2\/2 + p. Let d(t) be the first derivative of c(t). Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 515 and 1339.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 7*d**2 + 4*d + 6. Let n be x(6). Let j be (4\/n)\/(328\/(-24)). Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 31 = -3*o, 34 = c + 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 12 + 4. Let p(f) be the second derivative of -f**3\/6 - f**2\/2 - 3*f. Calculate p(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8231\/3 + 2743. What is the smallest value in 518, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g*g**(-3\/5)*g)\/((g\/g**(-3\/4))\/(g*g*(g*g**(1\/3)*g)\/g*g)))**(-1\/53) assuming g is positive.\nAnswer: g**(-259\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0251 + -0.5419. What is u rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 5*l - 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.150671583 rounded to three decimal places?\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 662.859 + -659.859005. Let h = p + -3. Round h to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315 - -328. Calculate the remainder when 1039 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415897.3 litres to millilitres.\nAnswer: 415897300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1023 - -0.10232455. What is l rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 6*o + 10. Let h be i(-4). What is the units digit of (-1)\/h*51*(-132)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -65, 1.3, -4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/13)\/r*r**(-7)*r**(-2\/5)*r*r**7\/r*r assuming r is positive.\nAnswer: r**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 42024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-8) - 0)*-32. Let f be (20\/h)\/((-2)\/12). Let s be (-8)\/(1 + -9) - 1. Solve 8*o - 3*o + f = s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -50. Let b = p + -128. Is b at least 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 636 = -9*w. Let x be 2\/28*-8 - w\/21. Let m be 4\/6 + (-1)\/(-3). Calculate the greatest common factor of m and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5313, 5311, 5309, 5307, 5305, 5303?\nAnswer: 5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 1. Suppose 195 = -2*d - 41. Let a = -83 - d. Calculate the remainder when a is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2708*s**3*w - 4*s**2*w + 512 wrt s?\nAnswer: -16248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45855 and 540?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3471 and 2.\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*2)\/((-10)\/4). Let n = 12.1 - 12. Which is the smallest value? (a) u (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -9*g + 30. Let n be s(4). Calculate the remainder when -24*(-2)\/n*(-5 + -5) is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 50 and 6914530.\nAnswer: 6914580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.44 + -27. Let p = s - -0.06. What is the closest to 1 in p, -3\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390 - 388. Solve -7*p - 18 = r*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 20*r. Let k(z) = 12*z**2 + 3565. What is v(k(g))?\nAnswer: 240*g**2 + 71300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1164509*n - 1164507. Give q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + k**5 - 2*k**5 + (3*k**4 + 5*k**4 - 6*k**4)*(k + k + 0*k) - k**5 + k**2 - k**2 + 3 - 4 + 3*k**5 + 3.\nAnswer: 4*k**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -43*t**2 + 96*t - 78. Determine k(3).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (37*68\/124542)\/(4\/12)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29223911*m**4 + 167821824*m**2.\nAnswer: -701373864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 1:25 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 - 14.95. Let f = 16.9690477 - 1.9690207. Let v = f + w. Round v to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 - 1. What is the tens digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -634.71 - -631. Let y = -3.523 - l. Let u = -0.18700154 + y. What is u rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -999*d - 84*d**3 + 160*d**3 - 75*d**3 - 9864*d.\nAnswer: d**3 - 10863*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/134048 and -17\/594?\nAnswer: 39812256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 7*o - 4. Suppose 3*y + 21 = d - y, 0 = -3*d + 3*y + 36. Let p be a(d). Suppose -p + 71 = 3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 2 + sqrt(1216)*-1)**2*-4 + -4.\nAnswer: -24644 + 1280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*u + 132, -2*f = f - 4*u - 206. Let g be f + (-1 - -2) - 3. Suppose 5*j - g = -22. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 + -0.4. Let b = -5.37 + 5.6. Let a = -3.77 - b. Sort 4, m, a.\nAnswer: a, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 0.2. Let o = 11 - x. Let r = 5 - o. Sort -1\/4, r, -4\/5.\nAnswer: r, -4\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/((1 - 3) + 1). Suppose 5 = -5*u, 0 = -5*g + 2*u - 5*u - n. Let k = g - -4. Solve -a = 3*a - c, 5*a - 2*c = k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Suppose -i = 3*g + 4. Is 156 - (-3)\/(6\/g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 752 - 35*y - 26*y - 110*y.\nAnswer: -171*y + 752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*l**2 + 2365*l - 2365*l - 4*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - 5*c - 453. Calculate x(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.045185 to four decimal places.\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 20 + 12. Let p = c + -3. Suppose -h + p*h - 2980 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46174792 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/2 + 2313*j\/2 - 33118 = 0. What is j?\nAnswer: 29, 2284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -22 - 88. Calculate the remainder when b is divided by 24\/5*(55\/(-22) + 5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6253 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -640, -97, 621 in decreasing order.\nAnswer: 621, -2, -97, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 + -2.96. Let t = -71 - -101. Suppose -17*q + 7*q = -t. What is the closest to 0.1 in p, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:35 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 8*d**2 - 2*d + 11. Let i be w(4). Which is smaller: 68 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -2*y - 8, -2*j + 2*y + 0 = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:01 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)*p**(2\/7)\/p*(p*p\/(p\/p**1))**(-28) assuming p is positive.\nAnswer: p**(-446\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14400363 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/162 and 25\/18160797.\nAnswer: 980683038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o*o*o\/(o\/(o*o**(-2\/9)*o))))*o*o\/(o*o\/(o*o\/(o**(2\/3)\/o))))**(-32))**(-36) assuming o is positive.\nAnswer: o**8192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*u - 35*u = 288 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150866558?\nAnswer: 2, 2909, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1323) - sqrt(1323))\/((sqrt(108) + sqrt(108)*2)\/sqrt(12)).\nAnswer: -7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39480 and 777.\nAnswer: 1460760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**4 - 157*s**3 + 415*s**2 - 236*s - 7. Let q(k) = -2*k**4 + 52*k**3 - 138*k**2 + 80*k + 2. Let x(w) = 2*l(w) + 7*q(w). Factor x(p).\nAnswer: -2*p*(p - 22)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 6, k: 4, o: 2}. What is prob of picking 2 q?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16682190 and 703?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 17. Let x(z) = z**2 + 5*z + 2. Let w be x(g). Put w, 2\/23, 3\/4 in ascending order.\nAnswer: w, 2\/23, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31744 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 4 - (-3 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 - -5) - (-387 - -366).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27750500 divided by 222004\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.75215 * 4.\nAnswer: -55.0086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13209*a - 52838. Calculate o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*o + 14*o**3 + 31*o + 55 - 138*o**3 wrt o?\nAnswer: -372*o**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203*w + 1122*w - 1 - 2277*w.\nAnswer: 48*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -14. Let q(c) = -14*c**3 - 3*c**2 - 3*c - 1. Let l be q(-2). What is the remainder when 1\/4 + l\/12 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 8)*(-40)\/(-14). Suppose -5*t = -10*t + k. Find the third derivative of 9*l - t*l**6 - 9*l + 4*l**2 wrt l.\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 - 135.4. Let i(s) = 2*s**2 + 15*s. Let o be i(0). Which is the fourth smallest value? (a) g (b) -3 (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 7*r = 3*g - 22, -3*g - 8 = 4*r. Determine c, given that 10*c**2 + 46*c - 46*c - 5*c**g - 5*c**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.1, -4, -0.112 in ascending order.\nAnswer: -4, -0.112, 0.1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3108 - 6215\/2. Let p = 4 + -5. Let j = p - -2. What is the third biggest value in j, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1692 or -1723?\nAnswer: -1723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 2. Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1525 + 122510549?\nAnswer: 122510549.1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(4*j + 0*j + 2*j)*(-2*j**2 + 3*j**2 - 4*j**2) to w*j**3 + i*j + f + y*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:42 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/5 + 1134*g**2\/5 - 41040*g + 2403000 = 0. Calculate g.\nAnswer: 150, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(-4*p**3 + 0*p**3 + 6*p**3) - 2*p**3 - 4*p**3 + 7*p**3)*(-1 + 4 - 2) - 4*p**2 + 4*p**2 + 2*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16449068?\nAnswer: 2, 349, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322482 + -457985. Let x = t + 206503. Round x to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**7\/168 + r**6\/120 + r**5\/80 - r**4\/48 - 20*r - 16. Let n(h) be the first derivative of x(h). Factor n(b).\nAnswer: -b**2*(b - 1)**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-3 - (-43 + -6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*h - 2, -n - 5*h = -0*n + 5. Suppose n = -16*b + 47 + 33. Find the third derivative of 218*z**5 - 38*z**2 - 196*z**b + 5 - 5 wrt z.\nAnswer: 1320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from ieeii.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.12.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -25, -47, -71?\n\"Answer: -g**2 - 17*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) 2\/5 (d) -0.1 (e) 12.5 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.7. Let f = 0 + 2. Let g = f - 3. Which is the third biggest value? (a) i (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -170*b - 8224 - 1579 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 596653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 8:58 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 + 5. Suppose 0*w = w - 9. Suppose 5*n + 12 = 3*d, 2*d = 4*n + w - 1. Determine f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 1. Let l(v) be the first derivative of 3*v**4\/4 + 2*v**3\/3 - 4. Calculate -l(u) + 2*y(u).\nAnswer: -u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8428, 34398, 77704, 138364, 216396, 311818, 424648?\n\"Answer: 3*q**3 + 8650*q**2 - q - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -240*h + 81. Let b(a) = -15*a + 5. Let y(p) = 33*b(p) - 2*o(p). What is the derivative of y(u) wrt u?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-10)*-4*10. What is the highest common factor of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*c + 1140 = 191*c. Suppose 5*a - 15 = -5*g, 0 = -0*a + 3*a. Solve 2*s + g*s - c = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3019599 and 891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (51 - 25 - 13)*(8*z - 3*z - 2*z)*(3 + 4 - 6) in the form l + b*z and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2806 and 13664?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/96 - 5*n**3\/16 + 7*n**2\/2 + 48*n. Factor g(o).\nAnswer: (o - 8)*(o - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-32)*6)\/(((-3355)\/(-22))\/61)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*u**2 + 22 - 15\/2*u.\nAnswer: (u - 11)*(u - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/19 + 37320*c\/19 + 74648\/19.\nAnswer: -2*(c - 18662)*(c + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39209\/120 + 1307\/4. Let o(z) be the third derivative of -1\/8*z**4 + 2*z**2 + c*z**6 - 1\/30*z**5 + 0*z + 0*z**3 + 0. Let o(v) = 0. Calculate v.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1615*q + 222 = 3*l - 1618*q, 2*l + 5*q - 134 = 0. Calculate the smallest common multiple of 292 and l.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1584)*-2 + sqrt(1584))*-3 - (2*sqrt(121)*5)\/sqrt(11)*-4)**2.\nAnswer: 50864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -104*l**2. Let z(c) = -61616*c. Give z(q(d)).\nAnswer: 6408064*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**4 - 10132*m**3 + 20252*m**2 - 10124*m = 0.\nAnswer: 0, 1, 2531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrrrruurrh. What is prob of sequence ruu?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 70744.6l?\nAnswer: 70744600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 26541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-427)\/(-21))\/(7\/(-189)*-9). Solve p*l - 4*l = -456 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 452759 + 455247 - 171362 = 0. What are the prime factors of m?\nAnswer: 2, 3, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 26*m + 112. Let q be k(-4). Solve o + o - q*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 1157, -14, -2, 1 in descending order.\nAnswer: 1157, 1, -2, -14, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*g + 153*g - 5*s = -17, -3*s + 7 = g. Solve -14 = -2*q - g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7214 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 13*v + 14. Let x be (-1)\/1*(-3 - 9). Let o be k(x). Suppose 31200000 = o*b - 5*b. Round b to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 8*c - 7. Let f be y(7). Let a(m) = -m**3 - 3*m**2. Let l be a(-3). Solve 4*n = -l*n + 2*w + 12, 3*w - 12 = f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/27 and 77\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -9*q + 10. Suppose -670 = -29*d - 17*d - 21*d. Solve -3*v + w = -3, -4*w = q + d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**4\/42 + 4*y**3\/21 + 4*y**2\/7 - 51*y. Factor h(u).\nAnswer: 2*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4 - 130*x**3 - 6146*x**2 - 6014*x = 0.\nAnswer: -31, -1, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -4?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9471, 17167, 43807, 70449, 97093?\nAnswer: 123739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6*p = -3*x - 15, -5*p = -x + 75 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-20) + 222\/15)*(-43)\/(-387).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {r: 2, x: 1, y: 2, b: 2, s: 2, n: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-4)*(2 - 2). Suppose 4*i - 5*t - 218 - 62 = 0, 2*i - 4*t - 146 = l. What is i rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 665 = 3*d, f + 2*d - 1004 = -2*f. Let i be 11\/3 - 6\/9. Let l be f\/i - (-4)\/6. Calculate the highest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 4*l**2 - 8*l + 12. Let b be m(3). Let w be 0\/6*(-1 - b\/6). Factor w + 15\/2*x**3 - 21\/2*x**2 + 3*x.\nAnswer: 3*x*(x - 1)*(5*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2213003 - -5?\nAnswer: -2212554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by 32.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 9 = 0, -2*j + 4*s - 10 = 0. Suppose -5*w - a + 11 = 0, -a + 2 = j. Suppose -20 = -w*m - m + 2*u, -3*m + 3*u + 24 = 0. Solve -m*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 + 33 = 2*z. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-84)\/56)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158*s - 393.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 3*y**2 - 4*y**2)*(1 - 1 + 1) - 1 - y**2 + 1 + (-5*y + 2*y + 2*y)*(0*y + 32*y + 26*y).\nAnswer: -62*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/63 and 58\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 118, 247, 440, 691, 994, 1343, 1732?\n\"Answer: -z**3 + 41*z**2 - 57*z + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30735.93555 - -30738. What is p rounded to one decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**3 - g. Let o be l(1). Let t = 4.99 + 0.01. Which is the third biggest value? (a) 2 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let k(n) be the second derivative of 0*n**3 + 43*n + 0*n**2 + 0 + 19\/6*n**4. What is k(u(a))?\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55664 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49476 and 79800?\nAnswer: 2473800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7438 is divided by 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**2 + 4*d + 5. Let r be u(4). Let a = r + 45. Suppose -a*n - y = 2*n - 311, -y = -2*n + 151. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021429 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2. Let b(o) = -o**2 + 136432*o + 13. Calculate b(u(i)).\nAnswer: -4*i**4 + 272864*i**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmskdlklrssr. What is prob of sequence dlr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 209. Is -8 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2. Calculate u(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/9, 26, -2\/5, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 12 + 13 + -3 + -21 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + -12. Let d be (q\/(-5))\/(7\/140). What is the greatest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/20 - 7*l**4\/12 + 2*l**3\/3 - l**2\/2 + 3*l. Is f(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3, 18 = l + 3*l - 2*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 120*w**2 + 193*w - 2369. What are the prime factors of n(12)?\nAnswer: 7, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*c**3*q**3 + c**2*q**3 + 8*c**2*q**2 + 37*c**2*q wrt c?\nAnswer: -1104*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 20 = 0. Let a be 18\/(-6) - -1*5. Factor -1\/2*w + 3\/4*w**g + w**3 + 0 - 1\/4*w**a.\nAnswer: w*(w + 1)**2*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123157 at least as big as 123159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -56*g - 1. Let i be t(1). Let f = -10 + i. Let c = f - -124. What is the remainder when c is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let q = -513 - -518. What is the closest to 1\/4 in -2, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -704. Suppose 186*a - 176*a - y = 0. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 203022200?\nAnswer: -203022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35051 - 0.04949. What is the third biggest value in 5, n, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5075 by -7.\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*n - 5*g - 2, -25 = 5*g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732141207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 292*a - 1. Let k(y) be the third derivative of -73*y**4\/12 - 7*y**2. Let z(g) = 3*f(g) + 5*k(g). What is the remainder when z(1) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-7 - (-3 - 8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -18. Suppose 0 = -2*n + 2*f + 46, 0*f - m = -n - f. Let q = 33 + -23. Calculate the smallest common multiple of q and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 74 = -5*l + 3*f, 2*l - 28 = -3*f. Does 20 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 + 3795*l**2 - 19100*l = 0.\nAnswer: -764, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 123601 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1931917*b**4*g**2 + 44*b**2*g**2 - 8*b**2*g - 2*b*g**2 - 5*g**2 + 7 wrt b?\nAnswer: 46366008*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13112, 54794, 124280, 221570, 346664?\n\"Answer: 13902*c**2 - 24*c - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 4*u - 4*u**4 - u + 164 - 4*u - 154 + 2*u as o*u + h + j*u**3 + p*u**4 + t*u**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m + 2*m + 8*m)*(-10*m**3 + 15*m - 15*m).\nAnswer: -220*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(3 + 0)*(5 - 3). Factor 2\/3*n**2 + 0 + 0*n - 2\/3*n**5 - v*n**3 + 2*n**4.\nAnswer: -2*n**2*(n - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 677527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 13*u**4\/4 - 8*u + 5. Differentiate j(l) with respect to l.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 15 + 3. Suppose s*g + 8 = -d, d + 6 + 8 = -5*g. Let y = -10 - -15. What is the nearest to -2\/7 in d, y, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 371490 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/7)*s)**(2\/5)\/(s**(-2\/13)\/((s\/(s*s\/(s*s**(-2\/3)*s)*s))\/s)))**40 assuming s is positive.\nAnswer: s**(-4664\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(sqrt(1210)*-1))\/(2*(-4*sqrt(242) - sqrt(242))))**2.\nAnswer: 13\/1464100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1024 (base 5) to base 15\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2558850, -2558849, -2558848, -2558847, -2558846, -2558845?\nAnswer: -2558844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t + 110. Let f = t - 40. Solve 2*w - 20 = -4*p + w, -3*p = 5*w - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 426 + -3830\/9. Let b(x) = x + 4. Let u be b(-5). Is h bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5 - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 2673?\nAnswer: -2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*h - 11. What is the lowest common multiple of (2 - 0) + -4 + 20 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*l - f, 5*l = -7*f + 3*f + 95. Suppose g = l - 3. Suppose 3*v = 7*v - g. Solve -v - 3 = -5*p + 4*u, p - 5 = -u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Let t(h) = 4*h**2 - 11*h + 11. Let d(z) = 2*z**2 - 6*z + 6. Let k(o) = c*t(o) - 11*d(o). Let f(a) = -a + 2*a + a. Determine f(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*a = 6*a + 13, 3 = -a. Suppose 0*y = -l*y + 28. Let r be 22\/2*7\/y. Solve 6 = 2*t, -3*u + 4*t = -2*u + r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 116\/157, -11, -0.68?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*u**2 + 374*u**2 - 1059*u**2 + 334*u**2.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1053) + sqrt(117)\/(sqrt(45)\/sqrt(5)).\nAnswer: 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*m - 85*m + 42*m)*(-2 - 2*m + 1 + 0)*(9 - 10 + 8)*(-m**2 + 4*m - 4*m).\nAnswer: 14*m**4 + 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 130 = -f + 5*v, -4*v + 133 = 5*f. Solve -h + 4*o = 2*h + f, -2*h + 4*o - 26 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21231780 by -6.\nAnswer: 3538630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a**3 - 3*a**2 + a - 3. Let z(c) = c**3 - c**2 + c - 1. What is o(b) - 3*z(b)?\nAnswer: -14*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2366005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**2 - 8*d**6 - d**2 + 2*d**6 wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*b + 15 = 0, -5*z + 129380 = -6*b + 129343 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.9 + -15. Let p be (-35)\/(-84)*-9 + (1 - -3). Put p, r, -2\/5 in ascending order.\nAnswer: -2\/5, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205877*u + 10 = 5*z + 205879*u, 2*z + 2*u = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 35 = -4*o - x, -2*x - 5 = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52288 is divided by 217.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b4c - 5?\nAnswer: 12b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -7, -4660, 0 in decreasing order.\nAnswer: 85, 0, -7, -4660","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0, 72, -2\/551, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7938550 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5075366 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-6)\/126*-3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -12, 4, -0.2, 2\/41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 272.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.827561 nanograms in milligrams?\nAnswer: 0.000009827561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -5, 31, 1\/8, -504?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8820 divided by -245.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 475?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(3\/(3 + 12)). Let t = u - -52. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/30, 0.0166, -5 in increasing order.\nAnswer: -5, -1\/30, 0.0166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2163, 2893, 4109, 5811, 7999, 10673?\nAnswer: 13833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 179, 1624, 4239, 7928, 12595, 18144?\n\"Answer: -16*o**3 + 681*o**2 - 486*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/336 - ((-100)\/70)\/10\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 + 35078176*r**2 - 16*r - 140312704 = 0. Calculate r.\nAnswer: -8769544, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1271.11, -4\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4\/2 - 39*m**3 - 5039*m**2\/2 - 39786*m - 179056 = 0.\nAnswer: -19, -8, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mohtmmtmhmmmthtmtm. Give prob of picking 1 t and 2 m.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2 + 71845*x + 1868646 = 0.\nAnswer: -26, 71871","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r + 2. Let v be (-266)\/28*(-52)\/r. Round v to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*f + 4, f + 4*f = -3*a - 5. Solve a = -20*l - 59 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b - -8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(448).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v - 10*v + 6*v**3)*(3 + 1 - 2) + (-2*v - v + 5*v)*(-2*v**2 - v**2 + v**2).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**4\/4 - 17*t**3\/6 - 19*t**2\/2 - 15*t\/2 - 172. Find w, given that x(w) = 0.\nAnswer: -5, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 + 0 = 0. What is the derivative of o + 3*o + 3 + 3 + f wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 50. Which is the biggest value? (a) 2\/5 (b) f (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -20*m + 78. Let x(b) = -m*b + 46*b - 38*b. Let o(p) = 44*p. Determine x(o(c)).\nAnswer: -220*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**3\/6 - x**2\/2 + 2*x. Let v be a(6). Let z be 2 + -6 + (35 - 23) - 5. Sort 1, z, v in descending order.\nAnswer: v, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -574595, -1149132, -1723657, -2298164, -2872647, -3447100, -4021517?\n\"Answer: z**3 - 574544*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + -312422101?\nAnswer: -312422122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47604 and 280?\nAnswer: 3332280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j + 339*j = 8520 + 2267 + 15678 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(24)*-5)\/sqrt(12) + sqrt(2) + sqrt(24)\/(-6*sqrt(12))))**2.\nAnswer: 5000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 17143006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 359*u + 2047. Calculate the remainder when 11333 is divided by f(-5).\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10849 + -10850. Which is the nearest to -57\/8? (a) -0.4 (b) -0.7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90145 + -22793. Let m = -67351.930434 + l. Let x = 0.07 - m. What is x rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10029850 divided by -2005970\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -3*y + t + 9 = 0. Suppose 2*h - y = -3*q - 0*h, h + 3 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 9. Suppose -j*w = -8*w - 5. Suppose 5*i - 42 = -3*g, -3*i - 70 = -0*g - w*g. Calculate the remainder when 37 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05811 (b) -0.4 (c) -3 (d) 2 (e) -1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011 (base 4) in base 5?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -4\/7*a**2 + 12\/7*a + 1\/28*a**4 - 1\/21*a**3 - 23. Suppose j(z) = 0. What is z?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8858*q**2 + 1786 + 13111*q**2 - 1786 + 10990*q**2 to h + w*q**2 + u*q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -32 (b) -1\/3 (c) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 6*j - 30. Let y be (1 - (-9)\/j)*0. Suppose y = 5*m - 28 - 12. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2711.1 + -5.\nAnswer: 2706.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + -0.7. Let w = -149 + 148. Sort w, 3, -0.2, k in descending order.\nAnswer: 3, -0.2, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122220201 (base 3) in base 16?\nAnswer: -16690","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1223950 by 16.\nAnswer: 611975\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4679357154.\nAnswer: 2, 3, 197, 3958847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/16 - 387*x**3\/4 + 336399*x**2\/8 + 337561*x\/4 - 1154. Factor b(g).\nAnswer: (g - 581)**2*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 (base 10) in base 6?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 6. Suppose 0 = 4*f + 2*h - 2, -p*h + 1 = 2*f + 2. Suppose -3*n - f = 5. Is -7\/4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5788956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110*66\/495*3\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 245 * 0.05\nAnswer: 12.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2 = -h - 37, -15*y + 75 = 3*h. Let s = -4 - -6. Solve -2*o + y*o = 4*r - 24, -5*r + 15 = -s*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.4, -2, 98, 8\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 - 7*y + 39. What is g(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-240)\/(-36) - 5)\/((-45)\/(-162)). Let z(r) = -r**2 + 3*r + 11. What is z(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -22 - 1 - 31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0105257 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**0))\/c)\/(c*(c\/(c**(9\/7)\/c))\/c*c)*c**10*c*c**(-12) assuming c is positive.\nAnswer: c**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.08 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*b**3 + 1 + 2*b**2 - 2*b - 47*b**3 + 80*b**3 - 4*b**2 + 4*b as j*b + d + g*b**3 + m*b**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 2*l**2 + 5*l + 14. Let k be g(5). Let x = k + 120. Are x and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of ((-2)\/(-10) + 234660\/300)\/(3\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73, -46, -19?\n\"Answer: 27*w - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 32*t - 31. Let r be w(33). Find f such that -9*f**3 + 0*f**4 + r*f**2 + 3*f**4 - 7*f**4 + 8*f**4 = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i + 4. Let n(z) = -20*z + 12. What is 17*a(b) - 6*n(b)?\nAnswer: b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 1. Let a(c) = 8*c**2 - 2. What is a(m) - 2*d(m)?\nAnswer: 8*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -37*y + 9. Let t(v) = 9*v - 2. Calculate 4*r(n) + 18*t(n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + d = -4, 0 = -2*u - 3*u + 3*d + 16. Suppose -3*m + 27 = -4*j, -u*m - 18 = -4*m - j. Suppose 985 = -m*l + 2659. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oosxfofisofoossxox. Give prob of picking 1 x and 1 i.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -34145433?\nAnswer: 34145440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1507, -2848, -4185, -5518, -6847, -8172?\nAnswer: -9493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27398 is divided by 9102?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*y + 155*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*h**3 - 2*d**3*h - 2*d**3*t - d**2*h**3 - d**2*h**2*t - 802*d*h**3*t + 46*d*h**2*t - h**2*t wrt h.\nAnswer: -12*d**3 - 6*d**2 - 4812*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81973251, 163946506, 245919761, 327893016, 409866271, 491839526?\nAnswer: 573812781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007496.\nAnswer: 2, 17, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - a = -17, -10 - 1 = 3*p - 4*a for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28148522, -56297047, -84445572, -112594097?\nAnswer: -140742622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 8*w**2 - 6*w + 3. Determine v(8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1603046 (base 7) to base 3.\nAnswer: 102011011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 9.35. Let c = 0.05 + s. Let w = 0.285 + c. Round w to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 408, 413, 428, 459, 512, 593?\n\"Answer: v**3 - v**2 + v + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 5*i - 5*i + 2 + 2*i - 8*i - 18*i**2 to the form b + n*i**2 + d*i and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1684166561?\nAnswer: 7, 11, 29, 754217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-264)*(2\/(-4))\/((-75)\/18).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (0 + -2 - 12). What is the common denominator of -38\/9 and (l\/(-36))\/(1\/(-53))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/17 - 5570*b**3\/17 + 49998*b**2\/17 - 83230*b\/17 - 138800\/17 = 0.\nAnswer: -1, 5, 2776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 - 613*u**2.\nAnswer: -613*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -213\/4*x**4 + 0*x**2 + 15*x + 87 + 0*x**3. Differentiate v(w) with respect to w.\nAnswer: -639*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 7*j - 2. Let c = -2 + -4. Let a be h(c). Solve -a*p + 5 = -7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143622 (base 8) in base 7?\nAnswer: 301644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.7? (a) 0.02 (b) 5 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/462)\/(124\/(-868)). Factor -6\/11*h - v - 2\/11*h**2.\nAnswer: -2*(h + 1)*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 - -91. Suppose -b*g - 5 - 11 = 0. What is the units digit of 30\/(-2)*(g - (7 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - 1.7. What is the nearest to -2\/7 in l, 5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(22)\/sqrt(2)) - sqrt(17)) + sqrt(68)\/(sqrt(64) + sqrt(4)) + -4.\nAnswer: -4 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 472243.1 - -110222.9. Let j = -582466.300023 + t. Let w = j - -0.3. What is w rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7961861*u**2 + 15923731*u**2 - 7961869*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 1:36 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-2))\/(1\/(-2)). Let b(d) = -d + 1. Let r be 34\/(-8) - (6\/8 + -1). Let y be b(r). Solve 0 = -y*p + j - 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 72*v. Let q(j) = 4*j + 41508 - 41508. Give q(l(h)).\nAnswer: 288*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 12 = 5*i. Sort i, -28, -5, -4 in decreasing order.\nAnswer: i, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1828 = 1832, -3*y - 4*i + 20 = 0. Sort -4, 2, y, 5, 3 in descending order.\nAnswer: y, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26804714017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -3*h**4\/16 - 42*h**3 + 513*h**2\/8 + 507*h\/2 - 1199. Factor r(d).\nAnswer: -3*(d - 2)*(d + 1)*(d + 169)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/8)\/((-7)\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 1. Let u(w) = -w**2 + w + 21. Let z be u(0). Let s(o) = o**3 - 2 - 51*o + 12*o + z*o + 13*o. Let l(y) = -2*c(y) + s(y). What is l(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 246. Let m be n(-11). Let w(c) be the first derivative of c**2 + c - 1. Give w(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12069, -25429, -38789?\n\"Answer: -13360*z + 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/120 - s**5\/12 + 29*s**4\/24 - 5*s**3\/3 - 21*s**2. What are the prime factors of l(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2 - 3*j + 1. Let x(o) = -16*o**2 + 7*o. Let k(n) = -11*n**2 + 5*n. Let z(f) = 4*k(f) - 3*x(f). Let h = -135 - -130. What is h*z(d) + 2*p(d)?\nAnswer: -4*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 25, 27 + 2 = 2*n - 5*q. Calculate the highest common divisor of n and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + d**2 + 186*d - 45*d - 3 + 971*d in the form u*d**2 + n*d + b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:22 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475465.\nAnswer: 5, 7, 109, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5 + 35 = 0. Let y(c) = 8*c**2 + 1. Let i be y(1). Let v(b) = 3*b + 5*b**2 - 6 - i*b - 4*b**2. Let l(j) = -j - 1. Give a*l(q) + v(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4 (c) -0.23 (d) -146\/1653 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 19*f - 165 = 0. Suppose -922 - 93 = -f*d. Is 29 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 45. Let u be 1326\/323 - (-4)\/(-38). Let a(s) = s + 12. Let f(m) = u*q(m) - 15*a(m). Let z(k) = -k - 58. Determine f(z(j)).\nAnswer: 3*j + 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/5 + 4*c**3 - 32*c**2\/5 + 16*c\/5.\nAnswer: -4*c*(c - 2)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 360\/14 - (-6)\/21. Let x = -14 + i. What is the least common multiple of 10 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 415 + -241. Let f(u) = -1 + x*u - 175*u + 1. Let c(v) = -3*v**2. What is c(f(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/125 and ((-2)\/35)\/((-360)\/(-11592)).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730\/28637 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 553383*u**2 - 4*u + 4. Let d be j(6). Let v be d\/(-9) - (-6)\/(-27). Let f = v - 8786470. Round f to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/((14\/8)\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7811122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h + 3. Let i be d(6). Suppose 4*f = -i*q + 14 + 15, -2*q = 3*f - 21. Suppose 3*x - f*c = 86, 2*c - 5*c + 89 = 2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - h + 2*h)*(0*h + 3*h + 0*h) - h**2 + 0 + 0 - 4*h**2 + 3*h**2 + 0*h**2 to the form z*h**2 + d*h + i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baaoboaa. Give prob of picking 1 b and 2 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let w(t) = -8*t - 29. Let u(s) = -4*i(s) - w(s). Let k be u(-13). What is k rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 29 - 57. What is the nearest to -0.1 in l, -1\/2, 5\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 87*l**2 + 12*l - 12. Let x(m) = 35*m**2 + 5*m - 5. Let r(h) = 5*q(h) - 12*x(h). Let k(v) = -v. Determine r(k(y)).\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -16, -17, -22, -31?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1780204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, -0.3, -1\/5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -5, -24, -65, -134?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 446108, 446139, 446192, 446267, 446364, 446483, 446624?\n\"Answer: 11*r**2 - 2*r + 446099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 861, 2742, 6369, 12324, 21189, 33546, 49977?\nAnswer: 71064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 18) + -8 + (-574)\/(-36) - 9148\/(-72).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = m + 297. Let x be 6\/8 - 80\/(-64). Is x at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 - 17*r + 7. What is b(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -640 - -654. Let r be 32\/12*9\/6. Suppose 0 = 4*h - i - 439, r*i = -4*h + 73 + 351. What is the remainder when h is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/18)\/(1\/(-12)). Suppose -5*a - 51*u = -56*u, 0 = 4*u - 8. Solve a*h = c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 126, 277, 488?\n\"Answer: 30*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3584 + 1207 + 4630 + v - 2*v.\nAnswer: -v + 2253","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -165.016449 take away -0.927?\nAnswer: -164.089449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:55 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 2074 - 2074.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 927074383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 120*j**2 - 93*j + 36. What are the prime factors of f(5)?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 31*t - 81. Let a be h(-27). Suppose 0*s + 36 = 2*s. Calculate the greatest common divisor of a and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 3, y: 1, r: 4, h: 3, a: 3}. Give prob of picking 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70229, -138698, -205409, -270362, -333557, -394994, -454673?\n\"Answer: 879*q**2 - 71106*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(1 + -1 + -1). Let d(v) = -v**2 - 8*v + 3. What is the least common multiple of 22 - ((-7 - -3) + 6) and d(c)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k = 284*k + 1992 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6570*l**2 + 8790*l**2 + 296*l**2 - 1.\nAnswer: 15656*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -342963 - -12?\nAnswer: -342951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17657125 + 11?\nAnswer: 17657136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 18. Let v = r - -30.2. Let h = -9 + v. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -16. Let x = 0 - -4. What is the smallest value in x, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2 + 2 + 1)*(-3*g - 2*g + 2*g).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) 37 (b) -8 (c) 5 (d) -1\/8 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -23, -5, 31, 0.3 in increasing order.\nAnswer: -23, -5, 0.3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 586 = -597 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*11\/66)\/((3\/(-3))\/(-1))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 1\/4 (c) -1\/5 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 14*l**2 + 17*l + 50. Let y be f(-13). Let r be (-105)\/(-2) - 1\/y. What is the greatest common factor of 159 and r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 4. Let b be d(-3). Let t be 3808\/49 + b\/(-7). Suppose -5*w + 6 - 21 = -2*p, 0 = -5*p - w + t. Calculate the remainder when 44 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53133 (base 12) to base 16\nAnswer: -1a9f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 383\/945 - 1\/189. What is the closest to 3 in -2, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*q - 49 - 229 = 0, 4*q + 452 = -3*p. Let h = p + 213. Suppose 2*m + 4*o + 25 = h, -2*m + 9 = -3*o. Solve -4*l + m = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 100 = -2*r. What is the tens digit of 3\/(-5) - (-4103)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 14*y - 8. Let m(o) = -5*o + 3. Suppose 30*p = 28*p - 78. Let n = p - -47. Let u(l) = n*m(l) + 3*a(l). Let g(x) = 53*x. What is u(g(k))?\nAnswer: 106*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7 - 329*p + 12010*p**3 - 11821*p**3 + 7 - 2*p**2 wrt p.\nAnswer: 1134*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = 3*v, -v + 5*d + 16 + 2 = 0. Suppose v*f = f + 1754. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606317 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 - 167*d - 207. Let l be a(21). Calculate the highest common factor of l and 2010.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 9, -21, 5, -13 in increasing order.\nAnswer: -21, -13, 5, 9, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5712 and 55253604.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42251 - -59322. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*r + 14*h**3 + 45974*h**2*r - 10071*h wrt r.\nAnswer: 2*h**3 + 45974*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-1 - 0\/1). Let z = t - -5. Suppose -275 = -5*x - z*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:25 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 1. Suppose 2*w = 5*w - 6. Let t be (-120)\/(-273) + w\/(-7). Which is the biggest value? (a) -1 (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165 + 59. Is 56 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 16 + 22 = -3*i, -6*s + s - 57 = -4*i for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**5\/30 + o**2 + 4. Let v(q) be the second derivative of t(q). Let h(n) = 2*n - 5*n - n. Calculate h(v(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q**2 - 4*q**2. Let x(v) = -v**3 - 8*v**2 - 7*v + 4. Let n be x(-7). Let c(k) = k**2 + 5*k**2 - n*k**2. What is c(p(d))?\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/((sqrt(33) + 1*sqrt(33))\/sqrt(11)) - ((-3 + (-1*sqrt(17) - sqrt(17)))**2 + 2).\nAnswer: -79 - 23*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-24) - (-10710001)\/3. Round q to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let i(q) = -438*q + 11. Let v(n) = 146*n - 4. Suppose 39*o = 43*o - 44. Let d(x) = o*v(x) + 4*i(x). Give t(d(p)).\nAnswer: 42632*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2167, 2118, 2039, 1930, 1791, 1622, 1423?\n\"Answer: -15*k**2 - 4*k + 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 362492 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 23, 2, 5, -38 in ascending order.\nAnswer: -38, -5, 2, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708303 and 595533.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 45 = 4*o. Suppose 0 = 19*y - o*y + 25. Let g = y - -48. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:58 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32919*i**4 + i**2*o - 161590*i*o wrt i.\nAnswer: 395028*i**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 594\/30 - ((-64)\/(-20) - 4)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20352 and -95\/21504.\nAnswer: 1139712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 24 = 16. Let k = 7 - 21. Let s = 0 - k. Calculate the remainder when s is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*w - 9 - 36 = 0, 3*w = -2*s + 30. Let x be 8\/(-170)*s\/6. Let q(f) = -f**3 - 5*f**2 - 4*f - 1. Let o be q(-4). Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0681+4174\nAnswer: 4174.0681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607163486 to the nearest integer?\nAnswer: 24641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5, -5 = 5*d + u - 4*u. Suppose 30 = 3*j + d*j. Suppose -2*c + 39 = -3*f, -4*c - 3 = 2*f - 57. Solve c = -y + j*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvppvvpllllppvp. What is prob of picking 2 p?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 9*q + 5. Calculate s(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/29, 4, 0 in increasing order.\nAnswer: -4, -2\/29, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = 26*p + 65 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1153734.\nAnswer: -1153731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084420.\nAnswer: 2, 5, 59, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 12, 30, 64, 120, 204?\n\"Answer: p**3 - p**2 + 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + -9 + -1 + 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 5. Give i(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 249 = -4*w - 13, 20*w = -2*d + 822 - 289 + 879 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and -6665134?\nAnswer: 359917236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 57. Calculate the remainder when 26 is divided by u\/4*3*(-4)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvv when three letters picked without replacement from vxvvvxvxvxvx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + j. Let w = -395 - -390. Let c(k) = k - 6*k + 6*k**2 + 0*k. What is w*i(n) - c(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -291\/1136?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - n = 6*y + 283, 0 = -4*y - 4*n + 404. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 20*z**2 - 46*z**3 - 29*z - 17*z + 38*z + 27*z**3 + 21*z**3 to the form x + g*z**2 + w*z + p*z**3 and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = i + 2*o - 7, i = 5*o + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 969463 - 24236573\/25. Let h = -4.05 - -0.05. What is the third biggest value in y, h, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1140)\/(-68) - 80\/(-340).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*z + 12 = -111*z. Let w(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + d - 1. Let s(u) = -4*u. Determine z*w(k) + 3*s(k).\nAnswer: 2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35789, 71552, 107317, 143084, 178853, 214624?\n\"Answer: q**2 + 35760*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u - 4. Let y(a) = -29*a + 11. Calculate -11*q(z) - 4*y(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 177*f**2 - 177*f**2 - 15*f**3 + (45 - 45 + 95*f**2)*(1 - 6 + 3)*(-2*f + f + 2*f).\nAnswer: -205*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70152.2 - 70152. Let c = 0.6 - 3.6. What is the fourth smallest value in x, -5, c, 2\/19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*s = -12, -5*n + 4*s + 11 = -1. Suppose 5*a = 4*k + 2, n = a - 2*a + k. Let f be (-2 - 1 - -3)\/a. Is f at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28982 is divided by 53?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 - 17 + 28 - 18)*(-4 + l + 4)*(0*l - l + 2*l) - l**4 - 2*l**4 + l**4 to t*l**2 + u*l + g + p*l**4 + k*l**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -71 - -6 - (16 + -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10707)\/(-498)*-2*3\/3?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/(18 - 9) - (-130)\/(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115871?\nAnswer: 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 55. Let v(z) = -9*z + 4. Let f(m) = -7*m + 6 - 1 - 3 + 4*m - m**3 + 5*m**2. Let b be f(4). Let n(p) = 5*p - 2. Calculate b*v(o) + d*n(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) 0.2 (c) 0 (d) 0.00124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.1 + 25.4.\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, c: 12}. What is prob of picking 3 c?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*y - 62*y + 10. Let m = 0.3 - 5.3. Which is the second smallest value? (a) m (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99378.97 litres in millilitres?\nAnswer: 99378970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfqq when four letters picked without replacement from {y: 2, f: 3, j: 1, n: 1, q: 5, r: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31559*t + 94687*t - 31568*t - 31561*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 138*p - 2001. Determine w(-48).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*a + 1 + 46*a - 469*a.\nAnswer: -900*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-123)\/(-5) - (-4)\/10. Let s = -51 - -53. Suppose -3*h - 2*i + n = 3*i, s*i = -2*h + 10. Solve c = 2*f - h*c - 7, -3*f = -c - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 561 and 14199.\nAnswer: 2655213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 210\/252*1098\/(-7930)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-175)\/(-10))\/5. Let t be (8\/(-10))\/(r\/70). Which is bigger: t or -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-23))**(-3\/29))**(-2))**(-20) assuming w is positive.\nAnswer: w**(2760\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2. Let f(a) = -a - 2. Suppose 0 = 2*b + 2*b - 92. Let x(v) = -21*v + 4 + b*v - 1. Let z(w) = -3*f(w) - 2*x(w). Calculate j(z(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.40651 + 91009.05.\nAnswer: 91012.45651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54129688.\nAnswer: 2, 6766211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*g = 90 + 87, 2*g = -4*a + 200. Solve a*l - 4*y = 49*l - 8, 4*l - y + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4477 + 5663. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 - -180. What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2100 and 44826075.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 109ae?\nAnswer: 109ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 487*n**2. Let q(u) = 5*u + 2668 - 5342 + 2674. Calculate g(q(f)).\nAnswer: 12175*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (0 - 0) - 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83\/604 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srrr when four letters picked without replacement from rsrrrsrrrs?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 3*d**2 - 11*d**2 + d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -92462816\nAnswer: 46231408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38648 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 207\/5*z**2 + 328509\/5 - 1\/5*z**3 - 14283\/5*z = 0.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3 - 3 - 6*v - 4*v**2 + 1 + 1 + v**3. Let r be f(5). Let t be (12\/(-10))\/(r - -5). What is the biggest value in t, -5\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*p - n + 13, -4*n = 8. Let g(t) = -t - 9. Let m be g(p). Suppose 0 = 3*h - 2*j + j + 4, 3*h + 3*j = -24. Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048638 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-10))\/(-9))\/(4\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Suppose -3*u + 6*u - v + 47 = 0, 5*u + 79 = 2*v. Let c = u - -17. Let t(d) = -d**2 + 6*d**c - 2*d**2 + 2. Determine 2*n(m) - t(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-111)\/54 + 2)*-686. Let t = s - 1075\/36. What is the common denominator of (129\/108)\/((-1)\/(-2)) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -23 (b) 0.4 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23383, -19034, -7223, 15782, 53713, 110302, 189281?\n\"Answer: 622*q**3 - q**2 - 2*q - 24002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7315 - w + 7314 - 2*w to k + o*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2088078.\nAnswer: 2, 3, 23, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 3*j**4 + 46*j**3\/3 + 47*j**2\/3 + 4*j - 2749. What is x in q(x) = 0?\nAnswer: -3, -2\/3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34129939.\nAnswer: 34129939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-287 + 287 - 85*a)*(-4 + 6 - 3)*(6 - 4 - 4)*(6*a**3 - 14*a + 14*a) to g*a**3 + r*a**2 + n*a**4 + s*a + h and give n.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6120391*q**2 + 6120408*q**2 + 0 + 0 - 12240801*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/((-3744)\/(-741)) - (-48 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.93 to the nearest integer.\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4747, -2\/45, -1\/4 in descending order.\nAnswer: 4747, -2\/45, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 212021 (base 3) to base 14\nAnswer: 32c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7680\/(-800))\/((-84)\/30)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgowz. Give prob of sequence pgzw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 1, -3 in descending order.\nAnswer: 7, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 173712 and 2287208?\nAnswer: 13723248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (13355 - 13355 - 35*m**2)*(3*m - 3*m - 2*m)*(3*m + 3*m - 2*m) in the form u*m + o*m**2 + n*m**4 + h*m**3 + y and give n.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 19*u**2 + 18*u + 2. What is the smallest common multiple of k(-18) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -13\/12*c**4 - 14*c**2 + 0 + 0*c + 0*c**3 - 1\/4*c**5. What is the second derivative of r(z) wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*u, -3 = k - 0*k + u. Which is the biggest value? (a) k (b) -2 (c) -3\/7 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 + 213*v**3 + 4370*v**2 = 0.\nAnswer: -190, -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.17 (b) 3 (c) -3 (d) -5\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.161 - 0.161. Sort 2\/7, 0.4, m in ascending order.\nAnswer: 2\/7, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17\/58 (b) 0.2 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*y - 2*h - 1, 2*y + h = -1. Let i = 202848 + -202970. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 12. What are the prime factors of i(11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 18*c - 1. Let t be j(9). Let s(z) = -z - 1. Let k(i) = -54*i - 3. Let d(w) = t*k(w) + 5*s(w). List the prime factors of d(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58c60 (base 15) in base 6?\nAnswer: -10021443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 3*m + 18*q + 185, 73 = -m + 4*q. Let u be m\/(-315) - 42\/98. What is the third biggest value in -1, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 3*p**2 + 4*p + 9. Let o be k(-6). Suppose 4*z + 13 = o. Let r(v) = v + 4. Let u be r(4). Calculate the highest common divisor of z and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5 = 3*y. Let p be (6634000\/(-93))\/(y\/9). Round p to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.957123 millennia to decades.\nAnswer: 195.7123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/35*98\/56?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 139578?\nAnswer: 418734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -537967144*t**3 - t**2 + 1181*t + 17299 wrt t?\nAnswer: -3227802864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 0, 3*z - 8 = c - 10. Suppose -39 - 60 = -c*o. Solve -l = l - 3*y + o, 2*l - 5*y = -19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let w be p\/20*8\/(-5). Do 1 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1220 is divided by 202.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3.05. Let h = k - 0.05. Which is the closest to h? (a) -3 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 3810*p**3 + 7629*p**3 - 2*p - 3810*p**3 to the form y + c*p**2 + z*p + o*p**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11271 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {f: 4, v: 9, j: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 19*q + 1. Is q >= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -192.\nAnswer: 11\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Suppose -3*y - 12 = o*d - 5*y, -5*d = y + 9. Let j(i) = i**2 + i - 1. What is the units digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4\/12 - 4*z**3\/3 - 5*z**2\/2 + 2*z. Let b be g(-7). Let q(d) = -2 - 7*d + 10 - 1 - 6. What is q(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-396)\/18)\/((-4)\/14)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1022)\/657*(6\/7 + 0)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0 - sqrt(3)) + 3 + -2)**2*-3 - (sqrt(3)*-1*-2 - sqrt(15)\/sqrt(5)*2)**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((55\/30)\/(-11)*1)\/(43\/(-1032))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 49. What is the smallest value in 2, c, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 l when four letters picked without replacement from {l: 2, a: 2, d: 2, r: 2, n: 1, f: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24203 + -43352?\nAnswer: -15145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*o + 5*u - 2, 0 = -o - 5*u + 28. Suppose 29 = -o*m + 125. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71659 and 812.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.13 to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.16 + -28.2. Let m = g - -5. Let p be 6\/9*-2*3\/5. What is the closest to m in 3, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:59 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92 + -88. Suppose -4*g = -k + 16, s = -2*g - 4. Let u = 5.95 + 0.05. Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 12*s + 9. Let x be t(11). Suppose -x*b = b - 23835. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 203661 + 1?\nAnswer: 203662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101100 + 10101?\nAnswer: -1101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 11 + 5 + 19 - 8 + 20*r. Let v be l(-7). Let d = 118 + v. Solve 5*u - 30 = -d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15200321, -15200319, -15200317, -15200315?\nAnswer: -15200313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13787 < 13338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129167552 is divided by 107550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 3. Determine w(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277432 < 277449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 8*o + 5. Let f be 30\/4 + 7\/14. Let n be p(f). Suppose -n*s + 24 = s. Solve -i - 3 = -s*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443 + -439. Suppose 0 = j*d + 7 - 19. Calculate the greatest common divisor of 4 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3469 + -3465. Let y(b) be the second derivative of 0 - 2\/5*b**5 - 1\/3*b**3 + 1\/2*b**2 + 1\/12*b**r + 8*b. What is y(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 - (4 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (1 + -1 - -81). Let h = x - -156. Let k be 1\/(-3) - h\/(-12). Let f(s) = -2*s**2. Let v(g) = 3*g**2. Determine k*v(l) + 10*f(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.05 + 0.05. Let m = n + -5.1. Let h = 6 + -6.08. Which is the third smallest value? (a) -2\/3 (b) h (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 24 = -4*c - 2*q, 2*q = -5*c - 28. Let l = 3 + 0. Let n = l - c. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27655915 and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 0. Suppose 7*y = 3*y. Let o be (-3)\/(y - b) + 1. Solve -a = -o*i - i, -25 = 2*a + 3*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194410, -194352, -194248, -194092, -193878, -193600, -193252?\nAnswer: -192828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 981*u - 9820. Determine t(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34510\/959 - 8) + (-1960)\/70.\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -251*z + 262. Calculate j(0).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let m(g) = -2*g**3 + g**2 - g + 3. Let v be m(2). Let q = v - -13. Let f(d) = -6*d**2 - 10*d**2 + 10*d**q. Give b(f(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23181, -23024, -22869, -22716, -22565, -22416, -22269?\nAnswer: -22124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w**2 - 8 + 0*w - 7\/3*w**3 + 0*w**4 - w**5. What is the third derivative of j(h) wrt h?\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 92 (b) 250 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 9 + -8 + -1 + -18 + 23\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + 38\/9 - 10. Let u be (0 + -2)*9\/y. Solve -5*s - 5*q = 0, u*s + 4*q = -0*s + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1 - (19 - 5)) + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-16983)*111)\/(3*8\/(-300))\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 66. Let j(h) be the first derivative of -h**4\/4 - 4*h**3\/3 - 3*h**2\/2 - 4*h + 1. Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(196))\/((2*sqrt(7) + sqrt(7) + sqrt(7))*-5).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*o**4 - 59*o wrt o.\nAnswer: -1188*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/210*(-37045)\/(-2151)\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1848 and 462?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 504, 0.2, -2\/3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 14 = -11 - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2072565 and 29309?\nAnswer: 14507955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggf when three letters picked without replacement from gyxgxxggfgx.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let v(j) = j + 2. Let z be (6\/(-4))\/((-6)\/(-16)). Determine z*v(m) + 6*x(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 3) + 1 - -3 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 (base 13) in base 12?\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187839 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(128) + -3).\nAnswer: 6 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 5*v**2 + 35*v + 68. List the prime factors of r(-9).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-31 - -37) + 48791 + (7 - 1)\/(-2).\nAnswer: 2, 31, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -0.4 (c) -0.06 (d) -21.9 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 + 4 = -4*q, -3*q = 3. Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 2*i**2 + i + 2. What is j(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278593 (base 11) to base 12.\nAnswer: 190348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49\/213?\nAnswer: 49\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*((sqrt(99) + 1 - sqrt(99)) + -3) + -2)**2.\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 4*l. Suppose -d = -5*z - 20, -5*z - 45 = l*d + d. Let w = -3.5 - -3. Sort d, 5, w.\nAnswer: d, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-24453)\/(-507) - (-9)\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 18*o**2 + 18*o - 11. Let u be b(17). Suppose -3*s - u = 0, -3*a + 3*s = -2*a - 209. List the prime factors of a.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:48 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.355 + -2.855. Put 2, -2, c, 6\/17 in decreasing order.\nAnswer: 2, 6\/17, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/4*(-11360)\/497 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 2)*(0 + 2*p + 0) + 4*p - p - 5*p + 2*p + p - 5*p + 2*p + 0*p + p + (-3 - 3 + 1)*(p - 6*p + 0*p))*(0*p**2 - 3*p**2 + 6*p**2).\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472225 is divided by 118051.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3379*g - 1661*g - 2987*g.\nAnswer: -8027*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**4\/24 - 98*x**2. Let p(u) be the first derivative of u**2 - 1 - 8*u**2 - 3 + 0. Calculate p(r(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Does 9 divide j\/(-9)*-2 - (-5278)\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 11.4. Let p = 16814904.99999974 - 16814903.6. Let d = h + p. What is d rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3 + (-20)\/(-6). Suppose 5*o - 4*h - 2 = 2*o, -4*o + 36 = 3*h. Solve 5*y - y - o = -2*g, 4*y - 24 = t*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31796 - 29245. What is the remainder when p is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/3, 0.5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a - 3588 = 3*f, 2691 = 3*a - 2*f. List the prime factors of a.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/62*(-84)\/(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5015 and 4954 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9\/4, -3\/7 in ascending order.\nAnswer: -9\/4, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-10))\/9*(-8)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8*a - 9*a - 7 + 13*a**4)*(0 - a + 0).\nAnswer: -13*a**5 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 12*w - 23*w. Suppose -5*t + 3*r + 3445 = -282, -4*t + w*r = -2988. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whaa when four letters picked without replacement from jwjajhjiwijjaiwwjhj?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/30)\/(3\/360).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 425815*d**3 + 425823*d**3 - 4*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-64)\/42*(-528)\/352. Factor 0*u - x + 4\/7*u**2.\nAnswer: 4*(u - 2)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 2:20 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.12*-0.061.\nAnswer: 0.19032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*x - 51, 4*d - x = 244 - 76. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:14 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 12*f - 8. Suppose 2*d - 770 = -4*i, -i + f*i - 765 = -2*d. Let l = d + -157. What are the prime factors of l?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-34)\/(-16) + (-11)\/88). Let h(f) = f. Suppose -3*t + 3*p + 18 = 0, 0 = 3*p - 0*p + 9. Let o be h(t). Solve i = -o*x + 2 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358676437 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64586 divided by -1502.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.012\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - q = -6 - 3, -5 = -q. Suppose -2*p = -k, 0*p - 34 = -2*b + p. Suppose 0*s = s - b. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-2) - (1 + 0). Let t(y) = 38 - 39 - m*y - 7*y. What is t(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*d + 70 = 5*o - 242*d, 0 = -4*o + 4*d + 6 + 34 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48882635 + 2199552607\/45. Let d = 3688 + n. Find the common denominator of 169\/90 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 76*c - 7*c + 53*c in the form o + x*c and give x.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*z = -2*z - 55, -4*g = 4*z - 16. Suppose 7*u + 4 = g*u. Solve 2*s = u*t - 4, 37 = 4*s + 4*t + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(3993)*-1)\/((-4*sqrt(450))\/sqrt(6)*-1).\nAnswer: -99*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2876?\nAnswer: 3\/2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-13) + 272604\/(-208) + 2. Let g = -1301 - b. Which is smaller: 7 or g?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1437772*j**3 - 1437711*j**3 + 2875153*j**3.\nAnswer: -330*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 35. Suppose 4*u = 5*v + 16, -2*v + 3*u - 12 = -3*v. Let m be q(v). Suppose -a = s - 5*a - m, -101 = -4*s + 3*a. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12\/11 + 9\/22. Sort 4\/7, v, 1 in descending order.\nAnswer: v, 1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 - 3*p**2 - 4*p + 1. Let d be y(3). Let z = d - 14. Let f = -1.245 + 5.245. Which is the nearest to 0.3? (a) f (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*l + 71*l - 1000 = 182*l, -3*k - 6 = -3*l for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 3, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-40)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672201.\nAnswer: 3, 19, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 8 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/5 - 5714*w**2\/5 + 2917488*w\/5 - 344445984\/5 = 0.\nAnswer: -3313, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -23964608.6+7\nAnswer: -23964601.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -22*k**2 + 0 + 20*k**2 + 5. Let r(h) = -13 + 6 + 2*h**2 + 7. Determine r(l(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 - -200. Let j be (2 + -1)\/((-9)\/15). What is the third biggest value in i, -15, j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69244\/15 - -234141\/35. Let x = n + -2074. What is the common denominator of 10*(-6 + 3\/252*514) and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (622\/(-16) + (-23)\/(-552)*-3)\/((-9)\/6)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let l = -3 + u. Let f = -233\/889 - 3\/127. Which is the closest to l? (a) f (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97539 (base 14) in base 11?\nAnswer: -22aa72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let l be (-26)\/24 - 1\/(-3). Let r = 1853 - 1848. Which is the third smallest value? (a) x (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396*p**2*z - p**2 + p*z + p + 1654*z wrt p?\nAnswer: -792*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1020?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9052624 and -99\/4936.\nAnswer: 9052624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1153 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {f: 3, m: 1, q: 2, k: 1, i: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 6110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63622 is divided by 129.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5. Let x(f) = -1. Let u(z) = r(z) - 6*x(z). Let q be (9\/6)\/((-3)\/12 + 1). Let b(l) = -l + 4. Calculate q*b(k) - 10*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*d + 85481 = 370497. Is d greater than 1551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*z + 3 - 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6.3 (b) 0.05 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-8)\/(-12)) - 6. What is the smallest common multiple of 70\/4 + 9\/(-6) and (24\/(-10))\/(i\/10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/165 - (-16447214)\/231. What is f rounded to the nearest one thousand?\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 4 + 4)*(0 - 1 - 1)*(-1 + 2 + 0)*(-84*s + 223*s - 56*s)*(0*s - 2*s + s + 1).\nAnswer: -332*s**3 + 332*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-8))\/(19 - -5 - 95\/4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12275*o - 24462. Determine z(-2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.06, 20091\/5 in increasing order.\nAnswer: -0.5, 0.06, 20091\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7681892 centuries?\nAnswer: 76.81892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1520 and 40560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 7 = -5*f + 6*f, 5*z - 16 = 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10024 - -18431. Does 100 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*p + 0 = -2, 2*z + 4*p - 2 = 0. Suppose 4*k + x + 72 = -77, z*k + 102 = -4*x. Calculate the common denominator of k and -45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.00000018. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 6 + 0*y + 3 - 2.\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -214\/255 - -12\/17. Let w = 17\/5 + -3. What is the nearest to w in 1\/4, c, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*10\/3 + -4. Solve -m = h + 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32911, -58653, -84397, -110143?\nAnswer: -135891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 2*h - 2. Let k be g(1). Suppose 4*r = -4*q, -3*r + k = 3*q + q. Calculate the least common multiple of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 + 1?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4534*k*r - 306*k + 2 wrt r.\nAnswer: 4534*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 1:19 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Let x(p) = 1420*p - 1. Determine s(x(b)).\nAnswer: -1420*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 297487 + 7414*z - 297487 + 3607*z**2 wrt z.\nAnswer: 7214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/20 + 5*h**4\/12 + h**3\/3 - 3*h**2 - 2*h. Let g be x(5). Let l = g + 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104\/(-24) + (-2)\/(-6). Let l(a) = -13*a - 1. Calculate the remainder when l(w) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289699 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21dd8 (base 14) to base 16.\nAnswer: 1418a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 3*h + 39. Suppose 13 + 15 = -4*i. Let f be d(i). Let x(t) = -t**2 + 12*t - 6. Give x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326880338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 885451982 + -0.4.\nAnswer: 885451981.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 5*n - 4. Let d(v) = -v**2 - 5*v - 3. Suppose -4*g + 1 = 13. Let w(r) = g*c(r) + 4*d(r). Calculate w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 18*g**2 + 5*g + 9. Let r be w(11). Let k = r - -1359. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29368696 minus -0.1?\nAnswer: 29368696.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6615 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8*12\/64)\/(2\/(-4) - (-124)\/224)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616318487 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7841 - 7887. Sort 5, m, -3, -4, 6.\nAnswer: m, -4, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 6, m: 2, f: 5}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -64 - 5*v + 51 + v**2 + 0*v**2. Let y be x(13). Let i = y + -57. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375066721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-295)\/(-300))\/((-11)\/(-22)) and -43\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/5047588 and -41\/7931924.\nAnswer: 55523468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27992.\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-116)\/(-6))\/((-45)\/27). Let y = i - -101\/10. Sort y, 1\/4, 0.09 in decreasing order.\nAnswer: 1\/4, 0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -4 - (3 + 5 - 3911) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -51*q**3 - q - 2. Let a be b(-1). Suppose 7*c - a = -8. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 2*n**2 - n. Let d(h) = -830*h**3 - 1328*h**2 - 664*h. Calculate 5*d(l) - 3320*o(l).\nAnswer: -830*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 + 2422119*h - 21798828 = 0. Calculate h.\nAnswer: 9, 807364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let i(y) = -2*y**2 - 264*y - 8258. Let v be i(-51). Let g(p) = -2*p - 5*p - 2 + 1. What is v*d(j) - g(j)?\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - 42. Which is smaller: j or -75?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 + 368 + 11 + 23\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -3*k**2 + 0 + 25\/3*k**3 + 0*k**4 + 7\/120*k**6 - 23\/60*k**5 + 11*k. Find the first derivative of f(b) wrt b.\nAnswer: 21*b**2 - 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.21 and -0.81189921.\nAnswer: 4.39810079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k**2 - 21*k**2 - 4*k - 2 - 4*k**3 + 39*k**2 in the form g*k**2 + h*k + o + z*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9627 (b) -5 (c) -1\/3 (d) -4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(-2)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478742, -957462, -1436182, -1914902, -2393622, -2872342?\nAnswer: -3351062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2538 - 2531. What is the second smallest value in o, -0.29, -4\/5, 0.2?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 5358 = -2*q - 10*q + 1077*x, 0 = -q - 3*q + 3*x + 4 - 55 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 3*b**2 - 1 - 6*b**2 + 2*b**2 - b**3 + b + 2*b to s + i*b**3 + z*b**2 + a*b and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -393*v**5 + 134*v**5 - 87*v**5 - 332*v**5 - 5*v**5 + 5*v**5 + 3*v**5 + (-3*v**2 + v**5 + 3*v**2)*(5 - 3 - 4).\nAnswer: -677*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 512\/3456*(1\/5)\/((-2)\/5)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 - 28*o + 20. Let r be y(-10). Suppose 170*b - 173*b + 378 = r. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 <= -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:17 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 4*w**2 - 3*w - 2. Determine a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 - 620344*w**3 + 24051047044*w**2 + 48103955136*w + 24052287744 = 0.\nAnswer: -1, 77544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3335.66 - 622.2295.\nAnswer: 2713.4305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*x + 493*x - 1989*x + 510*x + 508*x.\nAnswer: 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.427370136 to 2 decimal places.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18224\/7973 + 58\/(-28)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 316*w**2\/7 - 29530*w\/7 + 139500\/7.\nAnswer: 2*(w - 62)*(w - 5)*(w + 225)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2638*c**7\/7 + 809*c**3\/3 + 2521. Find the third derivative of j(d) wrt d.\nAnswer: -316560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69225219.\nAnswer: 3, 7, 47, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: 6.6 times -0.3\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 158 - 160. Is m + 10690\/12 - (-7)\/42 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -777\/5 + 156. Which is the nearest to x? (a) -3\/5 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823959 divided by 16\nAnswer: -823959\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (360067*d**2 - 180034*d**2 - 180034*d**2 + 732)*(0*d**2 + 6*d**2 - 4*d**2) to the form i*d**2 + c*d + g + h*d**3 + o*d**4 and give i.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 6\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200680033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -16*u**3 - 20*u**2 - 4*u. Suppose 0 = -r - 2*l + 22, -l + 17 + 0 = r. Let n(h) = -h**3 - h**2. Let o(s) = r*n(s) - j(s). Let o(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**3 + 531141*u**4 - 531139*u**4 - 40 + u + 0*u in the form t*u**2 + k*u + i + w*u**4 + q*u**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**3 - j**2. Let c(z) = -6*z**3 - z**2. Let h be 5*(-2)\/40*-4. Let q be (15 - 5)\/(h + -3). Determine q*c(l) + 6*y(l).\nAnswer: -6*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2*(-4 + (-18)\/(-4)) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228\/5 - (-8)\/20 and 12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2136 * -0.5.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1436016 (base 7) to base 4.\nAnswer: -233121213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -89289.\nAnswer: 2\/89289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 6*u**2 - 3 + 5303*u**3 - 8*u**2 - 5307*u**3 + (-9 - 2*u + 9)*(3*u + 4 - 4)*(5*u - 2*u - u).\nAnswer: -16*u**3 - 2*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozdojxr. Give prob of sequence jxod.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.42212 years in centuries?\nAnswer: 0.6942212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-66357)\/(-2020))\/(-219) - (-342)\/680\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.9 * 0.0807139.\nAnswer: 0.39549811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13699, 13704, 13711, 13720, 13731?\n\"Answer: d**2 + 2*d + 13696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1834 and 40741.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -3\/8, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -175\/3. What is the nearest to s in 0.1, 4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-20)*s\/(s*(s*s\/s**14*s)\/s)*s assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25942 at most as big as -25920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -2.3. Which is the smallest value? (a) z (b) -1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-4 - 2) + (-10 - -11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94051 - -133868. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662680462.\nAnswer: 2, 23, 14406097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 17, 28, 43, 62, 85, 112?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/136 - -3223\/136. Calculate the common denominator of f and 75\/26.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2533\/894)\/(((-2)\/(-2))\/(-6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 81*m**2. What are the prime factors of c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -4*k, -4*k + b = -31 - 6. Calculate the greatest common divisor of 24 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/30 - 7*g**2 + g. Let k(r) = -476*r. Calculate k(z(b)).\nAnswer: 952*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0 - 1 + 2)*(3*k - 3*k + k**2) - k**5 + k**5 - 2*k**5 + (-k**2 + 0*k**2 - k**2)*(2 + k**3 - 2).\nAnswer: -5*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0*g**2 + 9 + 9*g + 0*g**3 - 7\/4*g**4. What is the first derivative of t(f) wrt f?\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-3\/14))\/(n**40*n))\/(n\/(n**29\/n)*n*n\/((n*n**(-7))\/n)) assuming n is positive.\nAnswer: n**(-291\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21\/4, 3, -2, 827.1 in ascending order.\nAnswer: -2, 3, 21\/4, 827.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3*i - 12, 15*f = 14*f + 2*i + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23*j + 95. Let s be d(-4). Solve -5*t + t = -q + 9, -s*t + 2*q - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.89*16\nAnswer: 30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 11 = -n. Let c be (-10)\/40 + 1\/(-4). Let s be (1 + -2)*(-2 - -2). What is the closest to c in n, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 13*s**2 + 23*s + 15. Let l(f) = -f**3 - 6*f**2 - 11*f - 7. Calculate -13*l(q) - 6*w(q).\nAnswer: q**3 + 5*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2394 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6265 and 90037?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 9. Let u be k(-12). Let h be (-8)\/12*u\/(-2). Calculate the highest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -319, -414, -547?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1986830 and 9120.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12550 - -34?\nAnswer: 13024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3801\/(-27) + 4\/(-18). Is (s\/2)\/(51\/(-136)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 + m**2 - m**2)*(802 - 2458 - 9836 + 1116) to the form h*m + p*m**2 + i + z*m**3 and give z.\nAnswer: 31128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/8*w**3 - 141\/8*w**2 + 3\/2*w + 141\/2.\nAnswer: -3*(w - 2)*(w + 2)*(w + 47)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -5.1. Let o = f + -9. Put o, 2, -12 in ascending order.\nAnswer: -12, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324\/(-3240)*40\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -2379?\nAnswer: 2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*1318\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 14*u**2 - 12*u + 5. Let c be q(6). What is the second smallest value in 3, -9, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512846.226 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i*i**(-5))**40 assuming i is positive.\nAnswer: i**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/((-24)\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c718 - -2?\nAnswer: -1c716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37 at least as big as 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 1\/2) + 102\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let l(x) = 11*x**2 + 2*x - 3*x + x. Give l(o(v)).\nAnswer: 99*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 9}. Give prob of picking 4 f.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 24*u**2 + 106*u - 1. Let x be f(-6). Solve x*z - 6 = 10*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (8 - -1) + -603 + 605 + -108\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + 3. Suppose -4*d = 3*n - s, 3*n + 0*n = d + 12. Suppose 0 = -4*t - 2*i + 264, -d*t + 4*t - i - 63 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 5*o = -28. Solve 4 = 2*k - 2*r, 4*k + o*r + 3 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1713 - -1712. What is the third smallest value in 3, -3\/5, l, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, i: 3, f: 5, j: 1, p: 6}. Give prob of sequence pj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3\/3 - 112*u**2\/3 - 61502*u\/3 - 61388\/3 = 0.\nAnswer: -149, -1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 514644?\nAnswer: 1543932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**5\/9 + 1997*y**4\/9 - 9569*y**3\/9 + 1189*y**2\/3 + 2185*y + 504 = 0.\nAnswer: -504, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 9*d**2 - 9*d - 10. Suppose 0 = 3*r + 3, -2*r + 49 + 5 = 4*y. What is the remainder when x(7) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6668430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13151a (base 12) to base 2\nAnswer: 1001100100010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 8532*j - 5345952.\nAnswer: -3*(j + 932)*(j + 1912)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15433 - -3?\nAnswer: -15430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 258, -18, 2?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 471 and 15.\nAnswer: 2355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 73*z + 400. Give a(67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089.06695 rounded to zero decimal places?\nAnswer: 5089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = 3*q, -3*t - 3 = -4*q - q. Let c(v) = -5*v + 34 + 4*v - 12 + 3*v - 17. Let k(a) = -3*a - 6. Calculate t*c(g) + 3*k(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1559*m + 654*m - 3366 = -752*m for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 2*o**2 + 4*o**2 + 4*o + 2 + 3*o**3. Let j = 1029 + -721. Let g = j - 310. Calculate l(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.236156ml in litres?\nAnswer: 0.006236156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -341?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -203212420 (base 5) in base 9?\nAnswer: -1512807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -838987, -1677976, -2516965, -3355954, -4194943, -5033932?\nAnswer: -5872921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 4) in base 5?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -34*a**3 + 8*a**2 + 2. Let f(s) = 11*s**3 - 3*s**2 - 1. Let x(m) = 3*c(m) + 8*f(m). What is the derivative of x(t) wrt t?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 55*q - 1. What is the tens digit of h(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0\/(-1))*(-32 - -6). Let k = w - -26. Which is greater: -2\/69 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 37. Let p be (-1)\/((n\/20)\/(-4)). Suppose -l - 1730 = -p*k, 3*k - 133 = -2*l + 918. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 104. Suppose 57 = -j*c + 37. Are c and -10 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355.827 years in decades?\nAnswer: 235.5827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -35. Suppose 0 = 4*l - 3*l - o. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 - 1861*o**2\/3 - 36892*o + 863100.\nAnswer: (o - 1918)*(o - 18)*(o + 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4448)\/139*1\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2528371 + -3?\nAnswer: 2528368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -787.2 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001492386 to 7 decimal places.\nAnswer: 0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + (-2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + 19. Suppose -c - 4*b - 16 = -2*c, 5*c = 4*b + s. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7*a**3 + 398*a**2 + 57*a + 2. Let c be n(57). Let b(o) = -6*o**2 - 11*o + 55. Let m(k) = -k**2 - 2*k + 11. What is c*b(h) - 11*m(h)?\nAnswer: -h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626 - 618 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 178562\nAnswer: 21\/178562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23198 + -10047. List the prime factors of z.\nAnswer: 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -478.1 - -473.1. Which is the nearest to -0.12? (a) -3 (b) y (c) -2\/19 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and 119745.2.\nAnswer: -6825476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*r + 2, -5*r - 1 = t. What is the units digit of 17\/t + 5\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.54 - 1.7. Let g = f - 0.34. Let w be (1\/(-12))\/(2\/(-4)). What is the smallest value in g, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17344*x + 508591 = -676930 + 110193 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03088 take away 13548.4812?\nAnswer: -13548.51208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26858389 to the nearest integer?\nAnswer: 5183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1272 and 107\/636.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 437*s**7\/210 + 175*s**4\/8 - 47*s**2. What is the second derivative of g(z) wrt z?\nAnswer: 5244*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3350)\/(-575))\/((-116)\/1334).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 11*z - 7. Let n be r(-10). Suppose -n*f + 3 = -198. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g - 2*g**2 + 4*g**2 - 1. Let m be y(4). Let p(f) = f**3 - 10*f**2 - 10*f - 7. Let q be p(11). What is the third biggest value in -2, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 82810756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 275298893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2551.1 + -2551.099995947. Round b to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12686211 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5468215 and -0.2.\nAnswer: 1093643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (-1 + (sqrt(637) - (sqrt(637) + 2)) + sqrt(637))) + sqrt(637))**2.\nAnswer: 42*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 40 + 2 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 19*b + 973. Let w be j(23). Solve 14 = t - 3*a, 3*t - 29 + w = 5*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/88, -1, 0, 4, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (-3 - 6) + 87 + -86?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - 3*sqrt(864) - sqrt(864)) + sqrt(864))\/(4*sqrt(128)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + 1 + sqrt(108))**2 - (3 + sqrt(12) + -2 - ((sqrt(12) + sqrt(12) + 2)*6)**2).\nAnswer: 574*sqrt(3) + 1979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + i)*(-2 - 3 + 6) + 6 - 5*i - 6 + 3 - 3 + i - i + 2 - 2 + (0 + 1 - 3)*(2 - 2 + 2*i) + 5*i + 0*i - 4*i - i + 2*i + i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1288, 3246, 5232, 7252, 9312?\n\"Answer: d**3 + 8*d**2 + 1927*d - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -65\nAnswer: -4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 50243353?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1\/7, 0.4, -0.06, 0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + 0 - (3 + -2). Suppose -4*n + 0*n + 5 = 5*q, p*n = -4*q. Find the second derivative of z**q + z + 3*z**5 + 0*z - 2*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 111 = 2*i, -f + 0*i = 3*i + 17. Let q be (f + 1)*4\/(-8). Calculate the greatest common factor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1074 and 1?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 209, 468, 831, 1298, 1869?\n\"Answer: 52*k**2 - k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 2*n + 2. Let x be j(-3). Let o = -1 + x. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*h**2 + 0 + 3.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 83310+-13095201\nAnswer: -13011891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.34 + -17.34. Let l = h - -15.9412. What is l rounded to 3 decimal places?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 0*k - k)*(k**3 - 3*k**3 + 0*k**3) + 2*k**4 - 4*k**4 - 23*k**4 to the form m*k**4 + b + p*k**2 + l*k**3 + n*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95199*v**2 - 57205.\nAnswer: 190398*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - sqrt(12)\/sqrt(4)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 14665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/68 + (-41349538)\/(-34) + 20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 139 in -0.4, -0.3, 48638?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27220, -28298, -29392, -30508, -31652, -32830, -34048?\nAnswer: -35312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5240.99997189 - -5241. What is c rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -42344?\nAnswer: -42344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 39, 68, 99, 132?\n\"Answer: c**2 + 24*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 33*u = 18*u. Let s(c) be the second derivative of u + 8*c + 9\/2*c**2 - 1\/3*c**3. Determine s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3465.25 + 49.75. Let l = -3515.00004087 + x. What is l rounded to 6 decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:47 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = 1. Let j(b) = -2*b - 1. Let d be j(-2). Solve 4*y = i - 13, a*y - 11 + 0 = -d*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 101*f**3 - 99*f**3 - 179 + f**3 to the form w*f**2 + o + g*f + s*f**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-553)\/316*(-4)\/(-14))\/((-5)\/(-14))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -207488 divided by 64\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(15) - ((sqrt(60) - 2*sqrt(60))\/sqrt(4) - sqrt(15)))\/sqrt(3))**2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20703073*l**4 + 7060215*l**2?\nAnswer: -496873752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -n + 544, 4*x + n - 747 = 4*n. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**4 + 3*i**3 - 1375*i**2 + 123*i - 9?\nAnswer: -24*i**2 + 18*i - 2750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/240 and -91\/200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03091624345 rounded to 6 decimal places?\nAnswer: -0.030916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 2. Let t(g) = -20*g - 13. Let n(u) = 6*t(u) + 39*v(u). Let q(k) = 7*k - 2. Let x(s) = -15*s + 5. Let w(m) = 5*q(m) + 2*x(m). Determine n(w(c)).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 4 + 10)*(8*l**3 + l - l).\nAnswer: 216*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*s = r - 28, 0 = -5*r + 4*s + 76. Suppose -11*v = -r*v. Solve 15 = -5*t - v*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oio when three letters picked without replacement from {h: 1, o: 3, i: 2, n: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-4) + (-4)\/(-16). Let t = -2417\/9 + 269. Let z be (-38)\/14 - (-2)\/(-7). What is the biggest value in n, t, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 36 = -10*f. Suppose -3*p - 18 = -f. Suppose 0*d - 2\/7*d**4 - 2\/7*d**5 + p*d**3 + 0 + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 7296672?\nAnswer: -7296667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z + 4. Suppose 5*m + 4 = 14. Let i be p(m). What are the prime factors of (-7)\/7 + (-10)\/(i*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v + 5. Let o be n(-6). Let d(a) = -a**3 - a**2 - a + 2. Let s(h) = 6*h**3 + 6*h**2 + 6*h - 11. Let l(x) = 11*d(x) + 2*s(x). What is l(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tettttettttttttttett. Give prob of sequence teee.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 855, 1918, 3405?\nAnswer: 5316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 481484*p - 28978355282.\nAnswer: -2*(p + 120371)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b2e (base 16) to base 5\nAnswer: 42422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 8)*-3*(-1868)\/36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ce459 (base 16) to base 8\nAnswer: -3162131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 + 3*d**2 - 3*d + 3. Suppose -4*n = -4*k - 4, -11*k - 5 = -10*k. Let b(s) = 7*s**3 - 4*s**2 + 4*s - 4. Give n*f(y) - 3*b(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982183 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/87)\/(77976\/41876)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -146, -444, -992, -1874, -3174, -4976?\n\"Answer: -14*t**3 + t**2 - 37*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1487 - -4998. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k - 160 + 12*k**2 + 576*k**3 - 1138*k**3 + 563*k**3 - 9*k. Give i(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43010683?\nAnswer: 29, 83, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -748 = k - j - 5788, -4*k = j - 20175. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4) - 1)*0. Suppose 2*x = -16 - j. Does 10 divide (-120)\/(-32)*(0 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10369917*r*z**3 - 3*r*z**2 + 2062*r*z - 702*r - 4*z**3 + z**2 + 6 wrt z.\nAnswer: -62219502*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105063 + -42240. Let j = v - 62823.0300041. Let r = 0.03 + j. Round r to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -6. Let z = o - 14. Sort -1, -5, z in descending order.\nAnswer: -1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8 - (0 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 7*l - 6138 = 0. Is l bigger than -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*d - 141, 34 = d + 3*u - 7. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66.82419 * -0.1.\nAnswer: 6.682419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**3 - 4*f**2 + 11*f - 26. Let n(w) = -2*w**3 - w**2 + 2*w - 5. What is -2*m(p) + 11*n(p)?\nAnswer: -2*p**3 - 3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 11290734, 11290764, 11290794, 11290824?\n\"Answer: 30*h + 11290704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.143 and 1?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1310 - 1702 - 3380 = -376*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17308 is divided by 284.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c + 2. What is the third biggest value in c, -1\/5, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-3) - (-2 - 1). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*7\/105)\/(291\/970).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 4:08 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 8*z**2 - 18*z - 35. What is y(-9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 604459880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002702403222 rounded to five dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y - 5*y)*((4 - 2 + 0)*(-1 + 1 - y) + (-29 + 29 + 10*y)*(0 - 3 + 1) + (0 + 2*y + 0)*(-1 + 0 - 5)).\nAnswer: 136*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*(-1820)\/156?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150068 + 11?\nAnswer: 150080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 0, 11*l + 4*p = 10*l - 7. Let d(k) = 2*k**2 + 20*k + 3. Let r be d(l). Solve 2*j - 5*i - r = 0, 0*j - 4 = j + 3*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(4*l - 3*l - 2*l) - 5333 + 2685 + 2685 - 3*l as f*l + h and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 + 153*n**4 + 816*n**3 + 1332*n**2 + 672*n = 0. What is n?\nAnswer: -2, -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -760 + 140?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:56 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*a = -208*a - 448 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 5*z + 149. Suppose -4*t = -4*h - 76, -4*h + 2*h - t = 47. Let p = h + z. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1503.962 litres to millilitres.\nAnswer: 1503962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 5 - (4 - 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6722 - 0.5722. Which is the closest to 11\/3? (a) l (b) 2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -147a7 + -62?\nAnswer: -14859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22484103 to the power of 1\/2, to the nearest integer?\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1576736946 - 12.\nAnswer: 1576736934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10b79e (base 15) to base 10.\nAnswer: 798224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 30. Let c(l) = 3*l - 1. Let v be c(2). Suppose q = -j + v. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**3 + 29*y**2 - 8*y - 51. Is z(14) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - 4) + (-39)\/21. Put 5, o, 4 in decreasing order.\nAnswer: 5, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 13*n**2 + 10*n - 9. Let c(g) = -4*g**2 + 3*g. Let k be c(2). Is y(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + -1 + -3*sqrt(1872) + -2)**2 - (sqrt(468) + sqrt(468)*-2)\/sqrt(9)*-5.\nAnswer: 134*sqrt(13) + 7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61945 is divided by 20442?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -t - 5*t + 4*t + (0 + 6 + 0)*(-64*t + 4613 + 12*t - 4778) in the form d + q*t and give d.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q + 164. Let z be t(-15). Let w(m) = -4*m**3 - 5*m**2 + 3*m - 7. Let g(o) = -o**3 - o**2 - 1. Calculate z*w(y) + 5*g(y).\nAnswer: -y**3 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kugd when four letters picked without replacement from dgkgknggnuk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*j = -647*j + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (70 - (-39 - -63)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12) - 326\/(-6). Let g = t - 67. Let p be (1 + 3)\/2 - 1. Which is the second smallest value? (a) p (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3143 + -1292. List the prime factors of z.\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3952 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + -10?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -2*m + 9*m. Let q(p) = -6*p - 2. What is the remainder when m is divided by q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000478896508 to 6 dps.\nAnswer: -0.000479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:06 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -178, -269, -360?\n\"Answer: -91*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 - 5*v**4 - v**4 + (-3*v**4 + 0*v**4 + v**4)*(10 - 6 + 3) - 3*v**3 + 3*v**3 - 3*v**4 as r*v + o*v**3 + h*v**4 + w*v**2 + p and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1450, -2903, -4358, -5815?\nAnswer: -7274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 0.3. What is the fourth biggest value in 0.06, 5, t, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 238023 and 26016363?\nAnswer: 1378867239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1001390000 to the nearest 1000000.\nAnswer: -1001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(50\/4)\/(-5). Sort t, 1, -3 in descending order.\nAnswer: t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.7 - 7.4. Let g = s - 7.7. Is -12 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4058 (b) -1\/3 (c) 0.4 (d) 0.63 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 23, -2\/5, 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 - 2*a - 380 + 304 - 820.\nAnswer: -2*a - 1415","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/6 (b) 60 (c) -735 (d) 0 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 14*z**2 + 15*z - 34. Let p be l(2). Suppose -2*x = 4*c - 866, -4*x + x = 4*c - 867. List the prime factors of 4\/(-4 + c\/p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from {w: 6, c: 4, e: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.67831 + -0.68. What is m rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 14. Let k = d + -11. Let g = 4 + -3. Calculate the highest common factor of g and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(sqrt(192) + -1 + sqrt(192)) - (-2 + 3 + sqrt(192))).\nAnswer: -12 + 88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, s: 2, n: 10}. What is prob of sequence nn?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 6*z**2 + 11*z + 14. List the prime factors of q(-6).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = 491*s + 1055*s - 66308 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + r + r)*(5*r**4 - 7*r**4 - 3*r**4) + 2*r**4 - 2 - 2*r**4 + r**5 - 3*r**2.\nAnswer: -29*r**5 - 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + -7 + 0 + -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -12645 smaller than -12645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(0*d**2 + 2*d**2 - 3*d**2) - 2*d**3 + 2*d**3 + 2*d**3 + (-d + 2 - 2)*(-18 + 18 - 13*d**2).\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + y + 188. Let r(h) = 2*h**2. Calculate q(r(l)).\nAnswer: -8*l**4 + 2*l**2 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.6594ml to litres.\nAnswer: 0.0946594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.77772 to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 34.06. Let f = g + -5.64. Let b = -0.7 - f. What is the second smallest value in 0, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r. Let j(i) = 15771161*i. Give j(k(g)).\nAnswer: -31542322*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 24, 23, 22, 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + -2*(sqrt(77) - (sqrt(77)*-1 + sqrt(77))) + sqrt(77))\/sqrt(11).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/30 and 107\/3034572?\nAnswer: 15172860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 702*m**3 - 669*m**3 - 3 + 3.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52514709?\nAnswer: 3, 13, 503, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*a + 3. Solve -2*u + a*j - 9 = u, -5*u + 5 = -j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/14*(-168)\/36*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12502027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 19, 4, -29?\n\"Answer: -9*g**2 + 30*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 526530 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 53?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r + 2*r)*(-110621*r + 5*r**2 - 2*r**3 + 111588*r - 4*r**2).\nAnswer: -4*r**4 + 2*r**3 + 1934*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-1))\/(-4 + 2). Solve -4 = -z - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 16. Let c = b + -6. Which is smaller: c or 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*j + 884, 391 + 313 = -4*j - 4*h. Let b = -104 - j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**2 - 55*g - 69. Calculate y(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-279)\/18)\/31*6\/3*(-27)\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(2448) + 1)*3 - sqrt(2448))**2 + (sqrt(2448) - (sqrt(2448) + -4*(sqrt(2448) + 1 + sqrt(2448))**2))).\nAnswer: -195892 - 1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -335, -492, -631, -746?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 539682856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxxedksvkvxevxvees. What is prob of sequence xkdk?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44077483?\nAnswer: 44077483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7675119 and 30544?\nAnswer: 7705663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149957?\nAnswer: 17, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 3. Let q = 2 - 3. Let x = 5.08 + -2.08. What is the nearest to -2\/7 in q, x, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**4 + 60*q**3 + 84*q**2 - 1340*q + 1200 = 0?\nAnswer: -5, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5101 divided by 2092\nAnswer: -5101\/2092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = 2*r - 6, -5*y + 3*r = -34. Suppose 0 = 5*v + 5, -395 = -y*f - 3*v + 1217. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 11. Let n(g) = 214941*g. Calculate n(x(y)).\nAnswer: -859764*y**2 + 2364351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18800640 and 130560?\nAnswer: 18800640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 29837*r**2 + 32*r - 25. What is the ten thousands digit of t(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136) - (sqrt(136) + (sqrt(136)*2 - sqrt(136))) - sqrt(136)))\/sqrt(8))**2 + sqrt(34)\/(sqrt(2) + 2*sqrt(288)).\nAnswer: sqrt(17)\/25 + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = h - 357*x + 360*x, 2*x - 3 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100731047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 90*q = 124. Solve 0*c + 28 = -2*x + 4*c, -q*x - 4*c + 4 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + 5*(sqrt(280)\/sqrt(5) - sqrt(56)) - sqrt(224)\/(sqrt(20)\/sqrt(5)))\/((-3*sqrt(64)\/sqrt(4))\/sqrt(450)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose -67 = -3*s - 7*k + 2*k, r*k = 4*s - 68. Suppose 10 - 3 = -2*b - 5*q, -5*q - s = -b. Solve 4*i - 4*n = 8, 0*n - b*n = 4*i - 32 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 3 + 8\/2. Suppose 2*z + 8 = 4*h, 8 = z + 3*h - 3. Suppose 0 = -r + 3 + z. Solve 4*k = r*k - u, 0 = -5*m + 3*k - 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9918*w**4 - 967*w**2 - 21021414*w?\nAnswer: 119016*w**2 - 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 3. Let l(y) = -5*y**3 - 2*y**2 - 2*y - 1. Let a be 3\/((-3)\/2) - -1. Let o be l(a). Is 9 a factor of r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13502 = -2542*i + 2585*i. Which is the nearest to -2? (a) -8 (b) -2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {k: 1, a: 2, z: 4, y: 2, u: 10}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -89*p**2 - 1420*p - 2862. Calculate o(-2).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -226 < -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o - 2\/17*o**5 + 4\/17*o**3 + 0 + 2\/17*o**4 + 0*o**2.\nAnswer: -2*o**3*(o - 2)*(o + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 33264.5 and 3.65231.\nAnswer: 33268.15231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 684354 - 308123. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370.1 - -370. Let w = -2.95 - 0.05. Let u = w + 2. Put -0.2, v, u in decreasing order.\nAnswer: v, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 136 = 6482. Suppose y + 48 = i. Calculate the highest common factor of i and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, b: 3}. What is prob of picking 2 n?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*i - 3*i = 22, -42 = 4*z + 5*i. Calculate the smallest common multiple of 10 and (-30)\/z + (-4)\/(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 573 + -577. Is (-22720 - (-13 + 25))\/(y\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from tbvvtvblllvvltl?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152500 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*r**4 + 4\/11*r + 2\/11*r**5 - 14\/11*r**2 + 18\/11*r**3 + 0.\nAnswer: 2*r*(r - 2)*(r - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 331359732 to the nearest integer?\nAnswer: 18203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -88.5 in 87, 2\/15, 2\/9, 0.3, -2\/5, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.8*-15.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*n. Suppose -n + 11 = 3*a. Solve x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10198, -41399, -93402, -166207?\nAnswer: -259814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442414 + 1242?\nAnswer: 444100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176) - (-2 + (sqrt(176) - (0 + sqrt(176) - sqrt(176)))))**2 + sqrt(176) + -3 + -1*(1 + sqrt(176))**2.\nAnswer: -174 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((2*(1 + sqrt(325) - sqrt(325)) - sqrt(325)) + 1) + -5)**2.\nAnswer: -1000*sqrt(13) + 8525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2\/13 (c) -3831\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9\/u)\/u*u**10)**16\/(u**(-5)\/(u*u\/(u*u**(-3)*u))*(u*u**(2\/5)*u)**(-1\/82)) assuming u is positive.\nAnswer: u**(57406\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2006380 is divided by 201.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - 19. Let m = z - -14. Let c = -7.3 - m. What is c rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (4 - -26) - 41?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -659369, -1316104, -1972841, -2629580, -3286321, -3943064, -4599809?\n\"Answer: -j**2 - 656732*j - 2636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 11*l - 10*l + 2 - 3*l**2 + l**3 - 8 - 6*l**2. Suppose 0 = -3*i + 5*p + 42, -i = i + 3*p - 9. What is the units digit of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-3)\/2 - 0). Let w be 2\/3 + (-52)\/(-12). Solve -w*o = -4*t - 3, 3*t = -3*o - 0*t - q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 50?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 18 - 123)*(3*c - c - c)*(6 - 1 - 3).\nAnswer: -240*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2384 by -16.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from ptplytlpltylybpltypp?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0 + 1\/10*s**5 - 1\/120*s**6 + 0*s**4 - 14*s**2 + 0*s + 2\/3*s**3. Let y be c(6). Solve -r = 3*h - 3, -2*r + 2 = 3*h - y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*u**3 - 15*u**2.\nAnswer: 5*u**2*(8*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151 and 389.7.\nAnswer: 58844.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let z = -3\/62 + -25\/124. What is the closest to d in -0.4, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -4 - 2) + -3 + 8. Solve -u*g = -6*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: 3*2\/(-8)*(-140)\/105\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 144b - 87b9?\nAnswer: -736b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 247861, -4 in increasing order.\nAnswer: -4, 1, 247861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 433*l**2 + 14*l - 427*l**2 + l to the form i + r*l**2 + y*l and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/420*-16)\/(3\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26\/5 in -2\/35, 2\/23, -1.2, -2\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {o: 3, a: 1, i: 2, x: 3, m: 1, s: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {a: 2, i: 5, j: 1, c: 2, m: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 5. Suppose -5 = 2*a + 3*a + 3*r, g*a - 4*r + 40 = 0. Let w be (5 + 43\/(-8))\/((-32)\/(-384)). Is w greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -118 + 125. Solve u = -3*r - 8, -u + t = -r + 3*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 857, 854, 849, 842?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2419420 and 253724.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 - 2*c - 2. Calculate t(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659307 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.01. Let t = 8.6206 - 7.6206. Sort t, -2\/11, y in descending order.\nAnswer: t, y, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9\/15 + (-28)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11056 + -11056.2. Which is the biggest value? (a) -256 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 104, 15, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -3 (c) -1\/2 (d) -0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 4617*c**2 - 151407528*c\/5 - 202081350224\/5.\nAnswer: -(c + 1781)*(c + 10652)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/5 and -41\/115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 5*f**2 - 2*f + 7. Give r(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from jjjnjjjnjjjjj?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 336307*i. Let c(o) = -o. Give q(c(a)).\nAnswer: -336307*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49626 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4849*u - 732557 + 4*u**2 - 1059*u - 9*u**2 + 14352.\nAnswer: -5*(u - 379)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 8240\nAnswer: 1\/1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1224 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-22) + 21330\/297. What is the third derivative of -61*t**2 + 2 + 192*t**2 - y*t**2 - 101*t**4 + t**5 wrt t?\nAnswer: 60*t**2 - 2424*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a = 18*a - 4*p - 10, -3*a - 2*p = 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 263 = -2*h, -2*z + h - 2*h = -187. Let w = z + 168. What are the prime factors of w?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 111*t - 107*t - 17 = -33, 5*d + 14 = t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16529a (base 11) to base 16.\nAnswer: -3e79f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -94 and -914.\nAnswer: 85916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8435b0 - -3?\nAnswer: 8435b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 0, -4*i = 6*y - 2*y + 44. Let b = 2 - y. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24526997?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 139.006nm?\nAnswer: 0.000139006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6840)\/(-2394) - (-2 + 9) - -9.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1931 minus -66683.9?\nAnswer: 64752.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 9614700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 10 = -5*j. Suppose -6*y = -j*y + 36. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {m: 7, v: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 337005162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1528 and 75\/4.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g + g - 3*g - g + 0*g + 3*g - 4*g + 3*g + 0*g + (3*g + 0*g - 2*g)*(-1 + 0 - 1) + 2*g + 3*g - 3*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 127, 8, -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.476005 to two dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19*0.5\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 29 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12984.92 centuries in years?\nAnswer: 1298492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209908 by 4.\nAnswer: -52477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 164\/3 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 4, z: 2}. What is prob of picking 2 z, 1 a, and 1 m?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(64\/(-1024)). Let f(u) = 2*u**2 - 13*u - 7. Let x be f(g). Solve -2*w = -3*j + 8, -5*w - 3 - x = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j**4\/4 - 3987*j**3\/2 + 6741*j**2\/4 + 12084*j + 1251 = 0. What is j?\nAnswer: -2, -2\/19, 3, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a = 2717 - 2909 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 99*d - 203*d = -102*d - 19, m = d + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j + 235. Suppose -5*a + 34 = 4*k - 110, 4*a = -k + j. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*c**4 - 27*c**4 + 6*c**4 + 91*c + 2*c**4 + c**3 as a*c + j*c**3 + u*c**2 + n*c**4 + o and give a.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*k - 40*k = 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (-5 + -2*sqrt(13))) + -4 + 1 + sqrt(13) + (sqrt(325) - (4 + sqrt(325) + -1)).\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from xxxnnxffx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 2*f - 0*f + 23, 0 = -4*j + 5*f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/35 - 18\/(-5). Suppose -3*o = x*q - 9, -5*q + 5*o + 5 = -0*q. Suppose 0 = p + q*p - 21. Solve p + 5 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m + 2. Give g(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/61214 bigger than 670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -25 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5820672 divided by -40.\nAnswer: 727584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*z + 125*z = -1185. Let i = z + 430. What is the remainder when i is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.8781*-16.\nAnswer: -142.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -29.018. Let l = a + 0.018016. What is l rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.3 (b) -3 (c) -3280 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = m - 1279, -14*m = -13*m + 3. Is 24 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2611, 5039, 7111, 8653, 9491?\nAnswer: 9451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 6*g**2 - 9*g + 5. Let c be o(7). Let v = c + 13. Solve -v*j - 1 = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16252, -16016, -15790, -15574, -15368?\n\"Answer: -5*k**2 + 251*k - 16498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 19 + 5. Let h(n) = 4*n**2 + 6*n. Let x(s) = 12*s**2 + 17*s. Let p(i) = r*x(i) + 17*h(i). Let v(f) = -11 - 2*f**2 + 11. What is v(p(o))?\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.33 - -167.55. Let s = w + -54.29. Let d = s - 27. Round d to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41304112 and 212.1?\nAnswer: 41304324.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 22*c - 27*c + 3*c**3 + 49*c.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8 - 6 - 2 - 5*x**2. Let z(v) = 5*v. Give g(z(q)).\nAnswer: -125*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*z - 3*k, -12596*k + 12591*k + 10 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 4*a = -26*z + 24, 5*z = a - 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5453.2674 and -1.3575094.\nAnswer: -5454.6249094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12001212122 (base 3) to base 2\nAnswer: -11000010111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 31*t**6\/6 + t**5\/5 - 11*t**4\/2 + 3820*t**3\/3 - 2568. Find the third derivative of h(q) wrt q.\nAnswer: 1860*q**2 + 24*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.68333 rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1833 is divided by 88.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q**5 + 16441244*q**4 + 18496500*q**3 - 30827392*q**2 - 4110320*q = 0. What is q?\nAnswer: -2, -1\/8, 0, 1, 513790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -10*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 16*h + 12892 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x + 2. Let g be u(2). Suppose 2*t + 4*p - 22 = 0, 3*t + 2*p - 40 + 7 = 0. Suppose -t*v + 16*v + 10 = 0. Put g, v, 4 in descending order.\nAnswer: g, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1000110001000101?\nAnswer: 1000110001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 10 = 46. Suppose -6*x = -4*x - 10. Sort 14, 2, x, s in descending order.\nAnswer: 14, x, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16*p - 15. Let y be v(6). Let m = y + -45. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3557.369 weeks in hours?\nAnswer: 597637.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -15) + 45 + 26.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 50*y = 53*y - 5, 12*h = y + 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(3\/14)\/r)*r)*r)\/(r\/r**(-3\/4)) assuming r is positive.\nAnswer: r**(-71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-485)\/970)\/((-6)\/10).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -541*a**8\/42 - 293*a**4\/24 + 2079*a**2. Find the second derivative of j(f) wrt f.\nAnswer: -86560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380618381 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76059\/17 + -227837\/51. Factor 5*x**2 + 2\/3*x**3 - 1\/3*x**4 + 4\/3*x - u.\nAnswer: -(x - 5)*(x - 1)*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92450933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1176 by -294.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.156 rounded to zero decimal places?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 13 + 12 = 5*o, -4*o = -4*w - 20. Solve 2*q + 374 - 364 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -n + 4, 0 = -j + 4*n - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 2200 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3247 (base 10) to base 11\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1469, -5877, -13225, -23513?\n\"Answer: -1470*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -3 + 2 - -10. What is the remainder when 50\/4*16\/h is divided by (-316)\/(-44) - 8\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a gram in milligrams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3220 by 161.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0 + 18. Let i(k) be the third derivative of k**6\/120 + k**5\/10 + k**4\/24 + 13*k**3\/6 - 469*k**2 - 2*k. Calculate i(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 2*u**2 - 2*u. Determine a(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.5 plus 443612?\nAnswer: 444155.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (3 - 5) - -1. Suppose 4*k + 4*d - 16 = 0, -2*k + 2*d = 3 + 1. Calculate the greatest common divisor of k and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 - -297. Which is the smallest value? (a) 0.4 (b) 1\/18 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 69 - 4 = 2*x, -50 = -3*x + 5*k. Solve 3*r = 3, 5*o + r + x = 6*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30335 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/1771?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -738355, -738353, -738351, -738349?\n\"Answer: 2*q - 738357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {v: 5, w: 1, y: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -616854.43 rounded to the nearest one thousand?\nAnswer: -617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 4 + (-5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 + -221110101000?\nAnswer: -221110021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0\/2)\/1)\/1. Let a be -1 + 68\/28 + -2. Is a greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5445 by -9.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 6 + 15 - 4*l - 4*l**2 - 2*l**2 - 11. Let x(v) = -5*v**2 - 6*v - 1. Calculate 3*g(y) - 4*x(y).\nAnswer: 2*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.3022 times -49\nAnswer: 112.8078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ig when two letters picked without replacement from giii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6056 is divided by 1513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f. Let h(u) = u**3 + 9*u**2 - u - 4. Let n be h(-9). Suppose 3*r - n*r + 2 = 0. Let m(a) = -a**2 - 1. Calculate r*m(y) - l(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(-1 + 2*g + 0 - g).\nAnswer: -5*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(5\/75). Let v(y) = y - 8. Let l be v(i). Find j such that -4\/3*j + 0 + 2\/3*j**l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -6\/73 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - -3 - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -53*j - 173. What is q(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 52\/104*((-510)\/119)\/((-2)\/(-112)*-6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 6 - 3*s**2 + 2*s**2 - 8. Let q(v) be the second derivative of -v**3\/6 - v. Calculate z(q(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c**3 - 9*c**2 - 13*c + 6. What is the units digit of f(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*l - 5*c, 2*l + 69*c - 45 = 64*c. Solve 7*v = -l*o + 15, -5*o = -o - 2*v - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s - 32. Calculate the remainder when 6 is divided by q(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 66699*m + 667155. Determine j(-10).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 960 and 7854720.\nAnswer: 7854720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.074, -2\/5, -1\/8 in ascending order.\nAnswer: -11, -2\/5, -1\/8, -0.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 3, x: 2, f: 1}. Give prob of picking 1 h and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23204 + -24324?\nAnswer: -103033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 7 = -5*s, 5*h = -5*s - 2 + 7. Suppose h*t = -3*p + 17, 3*t + 25 + 9 = 2*p. Solve -2*r = 5*v + 20, v + p = -2*v - r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.803031 centimeters in kilometers?\nAnswer: 0.00004803031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 64 + 98 + 563*z**3 - 34.\nAnswer: 563*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 186770390959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/90110111 and 9\/2002?\nAnswer: 1982422442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 - 3.14. What is the third smallest value in 0.23, n, -6\/7?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 574 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54460 (base 7) in base 3?\nAnswer: 200200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 7) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 4:41 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - 8*d**2 + 5*d - 24. What is the hundreds digit of h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4 + 0 - 7*q + 1. What is the remainder when x(-5) is divided by ((14 - 128)\/(-19))\/(3\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = -t. Suppose -3*q + 5*r + 23 = 0, -5*q - 3*r = 20 - 13. Solve -g = -t*g + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuuuwuuyumuuu. What is prob of sequence uuu?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 x, and 1 j when four letters picked without replacement from ojojjjooojooxoooooa.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 13*g**2 + 15*g + 21. What is the remainder when 61 is divided by a(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + r = -17184 + 17228, 2*o + 4*r - 166 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 176*v + 175*v - 355*v + 2. Let i = -12 - -9. Let u be 2 + 1 - 0\/i. Calculate n(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d + 112. Let w be (-1)\/(-4) - 1\/4. What are the prime factors of s(w)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221 and 49946.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (159\/6)\/(-3 - 25\/(-8)). Let g(n) = -3*n**2 + 30*n - 9. Let u be g(12). Let b = s + u. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13352 + 13760. What is the least common multiple of q and 216?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11583362 divided by 24857?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.04 + 3. Let y = n - 0.06. Let f = 41\/9 + -5. Put y, f, 0 in descending order.\nAnswer: 0, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 divided by 1?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/4258 and -61\/10.\nAnswer: 21290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -10. Let l = 156 - 87. Suppose -l = -7*m + 50. Calculate the remainder when g is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 123 (b) 0.8 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 4*k, 5*k + 12 = r. Let h = 0 - r. Let l(o) = -o**3 + 2*o**2 - o. Is l(h) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662924457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*a - 3324 + 267 = 0, a + 3059 = 3*s. Is 85 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 12*u**2 + 3 - 11*u**2 to the form r*u**2 + c*u + z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 - 3*x - 14*x + 146 + 35*x - 11*x - 8*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22)\/(286\/(-6747))*(-3 + (-129)\/(-9)).\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -573\/8 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 7. Let a(u) = -3*u + 21. Let v(g) = -4*a(g) + 11*z(g). Let k be v(9). Suppose -140 = -5*f - k*d - 0*d, 35 = 2*f + 5*d. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 13389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 2:11 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453153 (base 7) to base 16.\nAnswer: 139dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o**2 - 42*o**2 + 8*o**2 - 7*o**2 + 5*o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 3585*l**3 + 7203*l**2 + 25149*l + 14364 = 0. What is l?\nAnswer: -1197, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 17*i + 59. Calculate j(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -633 - -1224. Suppose 3*b - 2109 = -t. What are the prime factors of b?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (132\/(-20))\/((-2)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 19*f - 76. Let r be b(11). Is 135 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/8007 and 7\/24021.\nAnswer: 24021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 4*m**3 - 7*m**3 + m**4 + 0*m**3 - m**2 - m.\nAnswer: m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (2 + 3))\/(-1). Solve 9 = c*v + 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 105. Suppose -4*r = 5*c + 95, 4*r + 3*c = h - 111. Let l = -30 - r. Which is smaller: -2\/169 or l?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t + 46. Let q be a(9). Solve -4*w + q + 15 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**2\/2 - 784. Let j(w) = -60*w. Calculate -140*c(y) + 2*j(y).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4)\/(5 - 5 - -2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1223820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8973228 to the nearest integer?\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/f**2)))\/f**(-1\/4))\/(f**(2\/7))**(-3\/35))**(-3\/13) assuming f is positive.\nAnswer: f**(2133\/12740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7c + -5?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0*n**2 + 0 - 11*n - 35\/6*n**3. Is o(-3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-20)*(-57)\/(-19) - 330865\/(-50)?\nAnswer: 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.149 - -0.148708. What is d rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**13\/r*r)**1\/(((r\/(r**(2\/17)\/r)*r)\/r*r)\/r)**(-2\/65))**(3\/10) assuming r is positive.\nAnswer: r**(43287\/11050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 27. Let n(j) = -j**2 + 4*j - 7. Let z be n(5). What is the units digit of 5\/((-5)\/z) + v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12553 (base 6) to base 11\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/29, 0.4, 0.5 in ascending order.\nAnswer: 2\/29, 0.4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (765919\/(-9947))\/(1\/(-2)*-2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*n - 310*n = -151*n - 55 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*s - 5 = 4, 2*s = -4*y + 14. Suppose 17 = y*z - 2*c, -50 = 4*z - 9*z - c. Calculate the greatest common factor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*g - 17 = 0, -m = 2*m + 4*g + 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 4. Let x be k(-7). Suppose 0 = 5*i, -i + 0 = -x*a + 6. Solve 10 = 5*m + 3*n, -5*m + n + 8 = -a for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n + 22*n + 6*n + 7*n.\nAnswer: 82*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-574)\/273 + 2)*3\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-76)\/456 + ((-362)\/(-12) - -2). Suppose 2*j - 52 = s. Calculate the greatest common divisor of j and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8714275 divided by 6\nAnswer: 8714275\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/11)*(c*c**(-14))\/c assuming c is positive.\nAnswer: c**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47, 318, 1019, 2366, 4575, 7862?\n\"Answer: 36*w**3 - w**2 + 22*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.35 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1267*s**3*w - 2508*s**3 - 4423456*s**2*w wrt s.\nAnswer: -7602*w - 15048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 464 and 8212101?\nAnswer: 8211637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -84.953. Let q = t - 4.953. What is the fourth biggest value in 0.2, 2\/9, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:40 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359382 is divided by 402?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-327)\/(-36) - 1)\/((-9)\/18) and -19\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5 - 49 + 9 - 948*k + 19. List the prime factors of h(-1).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -33384\/66515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiil when four letters picked without replacement from lliliiilililliiiiii?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 - -9880138?\nAnswer: 9880014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (1 + -23 - -39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 723730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 32 = 4*b, 0 = -x - 2*b - 9 - 2. What is the common denominator of 48\/5 and (-3)\/x + (-256)\/110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 299 or -3904?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a. Let b(s) be the first derivative of 13*s**3\/3 - 10*s + 1864. Give b(t(g)).\nAnswer: 832*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5 + 135949*l**4 + 4216231*l**3 + 48561555*l**2 + 246633856*l + 466624060 = 0. Calculate l.\nAnswer: -10, -7, 136042\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -450.7812 - -432.67. What is h rounded to zero dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -324181a + 5?\nAnswer: -3241815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 11*h**2 - 7*h + 10. Let p be s(5). Which is the third biggest value? (a) p (b) -1\/3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**4\/4 - 5*w**3\/3 - 4*w - 10. What is j(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifty-two fifths of a kilometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164334173*w**3 + 134191109 wrt w?\nAnswer: -493002519*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 + 33 + 30)*(-12*b - 8*b - 6*b).\nAnswer: 780*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614744319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-15)\/(-6))\/(145\/80 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 75*c**2 - 1534*c - 94911. Give d(-72).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -97, 5, -1 in decreasing order.\nAnswer: 5, 2, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-55))\/((-2)\/(-22)). What is the first derivative of -7*f**q + 41 + 163 - 39 + f**2 wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55875 - 55873 - 55867 - 3*o**2 + 167615.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 3*s + 81. Calculate p(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 2\/15, -280, -2\/3 in descending order.\nAnswer: 1.5, 2\/15, -2\/3, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 6*v + 42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -64.48. Let w = -2.52 - p. Sort 17, w, -0.3 in descending order.\nAnswer: 17, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2640 and 1188?\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 34366311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f**2 + 5*f - 9. Let t be v(4). What is the second derivative of 15*j + 108*j**4 + 0*j**5 - t*j - 39*j + j**5 - 16*j wrt j?\nAnswer: 20*j**3 + 1296*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {t: 5, f: 1, g: 1, a: 3, l: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w + 63. What is the units digit of h(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 1. Let t(g) = 4*g**3 + 4*g + 5. Let d be 4 + -2 - (-32)\/8. Suppose 6*r + 0*r + d = 0. Give r*t(w) + 5*f(w).\nAnswer: w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/30 + (-95)\/(-19)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107.2 + 98. Let i = p - -8. Let y = -5.3 - i. Round y to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u - 39*u - 11180 = 0. Suppose u = -2*i + 15*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1593416119 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3239, -2, -4 in ascending order.\nAnswer: -4, -2, 3239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5253 + -4480.6. Round w to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(((-2088)\/(-29))\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)*i*i**(-2\/35)*i assuming i is positive.\nAnswer: i**(814\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*f + 5 + 316*f - 3.\nAnswer: 198*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 12. What is the greatest common factor of 126 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by (-39)\/(-5)*(-5)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*v**4 - 4\/9*v + 0*v**3 + 2\/3*v**2.\nAnswer: -2*v*(v - 1)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1609*a - 62392 - 153214 = 0 for a.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42ec (base 16) in base 11?\nAnswer: 11965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1242*u**2*y**3 - 3884*u**2*y + 22*u*y**3 - 9*u - 2575*y**3 wrt u.\nAnswer: -2484*y**3 - 7768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344480 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 8*b**2 - b + 3. Let p be m(-8). Let w = 11 - p. Let q be (-3 + (2 - w))\/(5 - 6). Put -2, 2, q, 1\/2 in decreasing order.\nAnswer: 2, q, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(-3 + 0 + 5) + 6 - 2 - 3 - 3 + 6 - 4 + 3 - 3 + 1 - 3 + 3 - 1 - 179 + 172 + 154)*(4 - 3 + 2*z + 0*z).\nAnswer: 298*z + 149","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*p**2 + 36*p**4 + 214*p**2)*(5*p - p - 2*p - 1).\nAnswer: 72*p**5 - 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -297, -296, -295, -294?\n\"Answer: j - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from eqpqeqqxpqlqqeepq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 11*u**2 + 5*u - 20. Suppose 94*t - 57 = -5*g + 96*t, 2*t - 20 = -2*g. What is y(g)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5. Let i(z) = z - 110. Give -i(w) - 5*v(w).\nAnswer: -w + 135","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-22) + 1\/(-6)*1. Put 0.4, -1\/3, m in descending order.\nAnswer: 0.4, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:35 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*t + 65, -x - 1 = -0*x. Let d = 21 + t. What is the lowest common multiple of d - (2 + 2\/(-2)) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 63, 101, 141, 183, 227, 273?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 4*u + 50 = 0, -5*t = 5*u + 65. Let v = t - -42. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56 + -57 + (2\/(-4))\/(5\/(-40)). Find z such that 4\/13 - 6\/13*z**b - 18\/13*z**4 - 2*z + 46\/13*z**2 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 461 in 1\/7, -14, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3409*r - 2621562. Give f(-769).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/108204 and 27\/32?\nAnswer: 865632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7483437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 8*v**2 - 7*v + 2. Let d(l) = 3*l**2 - 25*l - 12. Let z be d(9). Let j be -7 + (z + 0 - 3) + -3. Determine p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7212, -7221, -7232, -7245, -7260?\n\"Answer: -h**2 - 6*h - 7205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/6 + 3*d**3\/2 - 48*d**2 - 4. Let b(v) = 3*v**2. Determine x(b(g)).\nAnswer: 12*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Suppose 8*k - y + 24 = 10*k, -4*y = 2*k - 24. Solve 7*u - 2*u - i = -r, 2*u = -5*i - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(2352) + -4)**2*-5.\nAnswer: -47360 + 4480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82 + 91. Is a at least as big as -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - (1 + -5) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1855 + 3850. Calculate the remainder when j is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 28*x**2 - 28*x + 32. What are the prime factors of k(31)?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107208\/3493194*34\/16.\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w - 193. Let n be y(38). Put 1, n, 15, 0, -5 in ascending order.\nAnswer: -5, n, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**2 + 4. Let y(g) = g + 7. Let p be y(-5). Let o(r) = -p + 2 - 2*r. What is c(o(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(1088))*-3*-5 + 4)**2 + -5.\nAnswer: -26880*sqrt(17) + 982331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 129 = -195. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/8, -6, 1\/4 in ascending order.\nAnswer: -6, -3\/4, 1\/8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*l + 140 = -66, -4*g - 5*l + 175 = 0. Let s be 17\/5 + (-16)\/g. Let q = 4.04 - 0.04. What is the nearest to -2\/3 in q, s, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*(-2)\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 226\/7*i**4 + 186*i**3 + 1926\/7*i**2 + 0*i + 2\/7*i**5.\nAnswer: 2*i**2*(i + 3)**2*(i + 107)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, l: 1, r: 1}. What is prob of picking 1 l and 1 g?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**3 + 4*i**2 - 1. Let a be n(-3). Suppose 4*o + 2*p - 364 = 224, -a = -2*o - 5*p. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 935 and 777733?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (51 - 61 - -31)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -101101101 (base 2) to base 6\nAnswer: -1405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -15. What is the remainder when 13 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*q - 14 = 0, 2*q - 8 = 2*i - q. Let o(k) = 4 + 0*k**2 - 2*k**2 + 2 - 8*k + k**i. What is the remainder when o(-7) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(71\/18 + -4). Suppose 3*b + 5*p = h, -5*p - 1406 + 433 = -4*b. Let y = b - 149. What is the remainder when y is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 680.223+-1\nAnswer: 679.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*f**2 + 4765*f + 55755.\nAnswer: 5*(f + 27)*(20*f + 413)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 400*n**2 - 14*n + 5*n.\nAnswer: -400*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m + 37*m - 22*m - 456*m**2 to the form y*m + a*m**2 + l and give a.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 9 + -36 + -10 + 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/2, -16, -1, 3\/44, 4, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -511 - -514. What is the nearest to -3\/5 in 0.3, b, 4, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -0.09. Let r = 357.91 + -354. Let c = r - t. Put c, 2\/7, 0.5 in ascending order.\nAnswer: 2\/7, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 226, 230, 234?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**7\/735 - a**5\/210 + 9*a**2\/2 - 3*a. Let r(x) be the first derivative of d(x). Let r(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1853, -1847, -1839, -1829, -1817?\nAnswer: -1803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 3*sqrt(1100) - 3*sqrt(99).\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-20))\/(((-2)\/4)\/((-78)\/(-156))*-1)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22857\/(20\/(-16)*(-6)\/25). Let u be 30481\/t - 8\/20. Let y = 316186\/38095 + u. Find the common denominator of -71\/14 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:07 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1751a (base 11) to base 15\nAnswer: -743e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 128*j = -130*j + 40, j + 40 = 3*c. What is the remainder when 113 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.18, -13, -3, -0.3, 0, 41\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p*p)\/((p\/(p*p**7)*p)\/p*p) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s**(-2\/3)*s*(s\/(s*s**3\/s*s))\/s*s**6)**35 assuming s is positive.\nAnswer: s**(875\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 148\/(-144) + -6 + 2 and 47\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -71, 26665, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/27? (a) 3\/4 (b) 3 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*c + 32. Let i(b) = -3*b - 2 - 2*b - b**3 + 6 - c*b + 11*b**2. Let f be i(11). Is f != -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 35*w - 20. Calculate the remainder when (-2)\/4 - (-556)\/8 is divided by j(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 47740226199756.\nAnswer: -47740226199757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 16*m - 12. Let z be k(15). Let t(c) = c + 15 + z*c - 3*c. Calculate the lowest common multiple of t(10) and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**6\/120 - g**5\/20 + g**4\/12 + 4*g**2. Factor m(o).\nAnswer: o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 + (-7)\/(14\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*x**3 - 2*x**2 - 63*x + 152588?\nAnswer: -12*x**2 - 4*x - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13195836 and 382488?\nAnswer: 26391672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3380, -6723, -10028, -13295?\nAnswer: -16524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38744028 divided by -2\nAnswer: -19372014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 3*k**2 + k**2 + 3*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 4*g**3 - g**3 - 5*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u + 6. Let s be y(-9). Let d = s - -171. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 - 3*y**2 - 3*y. Let c be u(0). Let m be (10\/6)\/((-2)\/c). Solve m = 4*i + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 + -184. Suppose p = -5*w + 5*b - 10, 2*w + 4*b - 58 + 38 = 0. Sort -3\/5, w, -34.\nAnswer: -34, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2372 - 20?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:18 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640703.\nAnswer: 7, 91529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 - 2*i**2 + 2*i + 1. Let m be l(-2). Let y be -2*1*(174\/(-12) + 0). Let h = y + m. Calculate the highest common divisor of h and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/713 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-334)\/5845*(-70)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - 2*d**2)*((-5*d + 2*d + 5*d)*(3*d - 5*d + 0*d) + 0*d**2 - 11*d**2 - d**2 - 3*d**2 + d**2 + 4*d**2 + (-6*d + 3*d + d)*(2 - d - 2)).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -1 - 8*t + 5\/3*t**3 + 0*t**2. Find the first derivative of z(m) wrt m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + (13 - 14) - 45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 132. Let c = -50 - o. Which is smaller: c or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 5*f**2 + 6*f + 4. Calculate the remainder when 14 is divided by b(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 10*l = -20, 63*f - 68*f + 10 = 5*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:12 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + 0.1. Let p = -2.091 + 1.591. What is the second smallest value in p, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*f + 20, -287*h + 12 = -284*h - 4*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - ((-82360)\/25)\/(-4). Let x = c + 813. Find the common denominator of x and 139\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/10)\/((-11)\/55). Let a be 0\/(g\/(-3 + -1)). Sort 7, a, 2 in increasing order.\nAnswer: a, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*b**2 - 189.\nAnswer: 204*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 779*p**2 + 62*p - 62*p.\nAnswer: -779*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/18841 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 559\/(-65) - (-6)\/15. Sort 1, 5, -13, v in descending order.\nAnswer: v, 5, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 4) in base 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 805751804 a multiple of 2284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)*v\/(((((v**(3\/2)*v*v)\/v)\/v)\/v)\/v))\/(v\/v**(-1))**6)**(-23\/2) assuming v is positive.\nAnswer: v**(713\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 7*t - 128*t**3 + 4 - 3 - 192*t**3. Is u(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 243?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2319*t**3*v**3 + 161*t**3*v**2 - 2*t**3 + 7*t**2*v**3 - 561*t**2*v**2 + 2*t*v + 12*t wrt t?\nAnswer: 13914*v**3 + 966*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - s**2 - s + 1. Let j be d(1). Let o be (j + -1)*(-2 + 1). Let f = -84 + 422\/5. Which is smaller: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.9. Suppose -6*j + 0*j + 108 = 0. Suppose 0 = 20*i - j*i - 16. Which is the third smallest value? (a) m (b) -2\/17 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2738 - 997 + 31763 - 3*v + v.\nAnswer: -2*v + 33504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*n - 60*n - 18 = 0. What is the highest common factor of 81 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 8 + 4)*(4 - 3 + 1)*(0*q**3 - 2*q**3 + 3*q**3)*(8*q**2 + 8*q**2 - 7*q**2).\nAnswer: 522*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/4 + 11\/1. Let l(c) = 18 - 3 + c**2 + 1 + g*c. Let y be l(-12). Which is smaller: y or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -11 + 2. Let r be (-20)\/15*o\/(-2). Solve -4 = 2*i + r*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 47*h - 41. Let l be k(46). Let o(t) = -t**3 - 8*t**2 - t - 8. Let z be o(-8). Sort l, z, -2, 1 in descending order.\nAnswer: l, 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)\/d*d**(-20) assuming d is positive.\nAnswer: d**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2077 = -g, 2*g - 1297 = x + 2872. Let l be 4\/(-14) + g\/98. Let w be 3\/l*(-3)\/12. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139544*j*s**2*u - 1100*j*s + 2*j*u - 11*j + 14*s**2 - 2*s - 22*u + 2 wrt s.\nAnswer: -279088*j*u + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9872336 divided by -71024\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 5, 21\/38, -21, -0.3, -89?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2720)\/(-88))\/(-5) + 24\/(4 - 0).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(272)) - sqrt(272) - (0 + -1*sqrt(272)))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3 + 12. Let p be g - -3 - (-4)\/18. Do 0 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*z - 4, -13*z + 7*z - 10 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1943231*h**5 + 767*h**2 + 424?\nAnswer: -116593860*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -20*x + 23*x. Suppose x*o + 13 = 69. Suppose -68 = -4*v - 4*p, v = p - 0 + 9. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*y - 25*y + 7*y = 18*y + 996 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282798.\nAnswer: 2, 3, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30000754?\nAnswer: 2, 7, 2142911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 + 68*v**2 - 4558*v + 4488 = 0. What is v?\nAnswer: -68, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -3*f. Let z = 30 - 24. Calculate the greatest common divisor of f and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100001001011101110001100?\nAnswer: -100001001011101110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 449.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (-3)\/6*(-229 + 13).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2344293.541 to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 8. Suppose 32 = 5*h + c + c, 5*c + 19 = t*h. Let r(z) = 3*z + 5. What is the units digit of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*t + 204. Suppose 2*u + 138 = 4*g, -5*u = -4*g + 215 - t. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 228*g**2 + 60998*g - 3875. Determine f(386).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-24)\/(-60))*48\/(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 135*k + 1. Let t(b) = b + 1. Let a be t(0). What is the tens digit of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 151*n**3 + 3*n**2 + 73*n + 69. What is d(-1)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -252085*x + 272025.\nAnswer: -252085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-130002)\/(-8) - (-84)\/(-336) a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -2279, -7696, -18243, -35630?\nAnswer: -61567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*o**3 + 2*o**4 - 4\/3*o + 0 + 2\/3*o**5 - 2*o**2 = 0 for o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16823, 33628, 50423, 67208, 83983, 100748?\n\"Answer: -5*u**2 + 16820*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2841, 10144, 22311, 39342, 61237, 87996, 119619?\nAnswer: 156106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/5)\/(3\/144*-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 436079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*b = -5750, -4*f = 4677*b - 4678*b - 4593. Solve 1162*m - 45 = f*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 2)**2 + 4)*1.\nAnswer: 8*sqrt(17) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:55 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -19 (b) 0.2 (c) 2 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 - 5 + 0)*(-1 - 1 + 3) - 2 + 1 + 2 - 1 + 0 + 8)*(5 + 0 - 6)*(-68*d + 68*d + 31*d).\nAnswer: -310*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33282 and 7396.\nAnswer: 66564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 2*z + 8*z. Suppose u = -8*u + 35721. Let s(b) = -b + 3969 - u. What is g(s(p))?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525\/30*1818\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 5*m**2 - 6*m + 2. Let x be z(-6). Solve 3*k = k + x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6447 = 360*u - 6873 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -16 + 1216\/80 - (19\/(-5) + 0). Let c(w) be the first derivative of -23 - 22*w + 0*w**2 - 10\/3*w**z. Differentiate c(a) wrt a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 279 = -3*s, -2*s - 2*s + 404 = 4*c. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w - 4. Let d = w + 8. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from {z: 3, j: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2. Let c(i) = 25177*i. Calculate c(v(n)).\nAnswer: -50354*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/686 and -25\/588.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*f = 14, -4 = 5*d - 5*f - 14. Suppose n + 8 = -5*q, 22 = 3*n + 3*q - 2. Suppose -d*s = -s - n. Solve -s*p = -2 - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2149*t**4 - 2*t**3 - t**2 - 25134*t wrt t.\nAnswer: 25788*t**2 - 12*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -48 (b) 4 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-11)*(-45)\/(1620\/1116).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -410 - -427. Let k(h) = 16*h**2 - 2*h + 2. Let y be k(1). Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {x: 5, y: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/5, 1, 7 in descending order.\nAnswer: 7, 1, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15214678, 4, -0.02 in ascending order.\nAnswer: -0.02, 4, 15214678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 707*o. Let u(c) = 314*c - 1. Calculate u(h(j)).\nAnswer: -314*j**2 + 221998*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869687951 + 116?\nAnswer: 1869688067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -2.3\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98393*u + 2736 = -98321*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + 3*a**4\/8 + a**3\/6 + 2*a**2. Let c be (-1 + 4 - 0)*(3 + -7 - -1). Calculate u(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 2)*(-13*z + 40*z**2 - 36*z**2 - 10 + 12) in the form u*z**2 + j*z + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451230, -902457, -1353684, -1804911?\nAnswer: -2256138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1616)\/(-24))\/((-2)\/(-21)). Suppose u = 8*f - f. Suppose 43 = 3*x - f. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 12*u**2 + 5*u**2 + 7*u**2.\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-102)\/((-238)\/7))\/((-63)\/(-243)). Factor -m*l + 30\/7 + 15\/7*l**2.\nAnswer: 3*(l - 5)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(14)\/sqrt(2) + 1 + (sqrt(7) + 0 + sqrt(7))**2.\nAnswer: -6*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 2286*q**2 + 43368*q + 854784.\nAnswer: 3*(q - 742)*(q - 32)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5422 (base 8) to base 2.\nAnswer: -101100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + h + 1552 = 0, -1053 = -12*x + 10*x - 3*h. What is the remainder when 1596 is divided by x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 14*x**2 + 2*x - 9. Calculate z(14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-72)*(144\/9)\/(-560).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/110701 and 37\/124.\nAnswer: 442804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + 51*t**2 - t**3 - 4 - 3*t**4 + t**4 + 3*t**4 - 46*t**2 + 2*t in the form f*t + a*t**2 + o*t**3 + x + v*t**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.17 to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3818 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 + -76. Let b = 11 - z. Suppose 6*n = b*n. Solve 3 = f - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96074220 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221571493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174125860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75199 = -30*f + 114*f - 154373. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*w - 156, 3*w - 109 + 39 = k. Let l = -33 - k. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126343*r**3*v - 3273344*r**3 + 20*r**2*v with respect to v.\nAnswer: 126343*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1944192c + 3?\nAnswer: -19441929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 5*z**3 - 4*z. Let w(d) = -12*d. Let v(c) = -5*r(c) - 12*w(c). Let f(k) = 2*k. Calculate v(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let x be (28\/(-35))\/(t\/(-5)). Suppose 0 = -l + 5, -3*m - l + 27 = -x*l. Solve -2*c - 2*f = -4*f + m, 3*c = 4*f - 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366309 is divided by 425.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmfnuetefftu. Give prob of picking 1 f, 2 e, and 1 t.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g**3 - 12*g**2 + 7*g. Let h(r) = 2*r**3 + r**2 - r. Determine 14*h(y) + 2*x(y).\nAnswer: 2*y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2. Let m be 5 - (1 - 1)\/1. Let h(i) = -m*i**2 - 4*i + 0*i + 4*i. Determine h(c(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0247246 - -7922763.\nAnswer: 7922763.0247246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*v + 174, 61*t - 5*v = 57*t + 328. What is the remainder when 369 is divided by t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 2:18 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(975)*-2*-2)\/((sqrt(90)\/(sqrt(9)\/sqrt(3)) + sqrt(30) + sqrt(30) - sqrt(30))\/(2*sqrt(490))).\nAnswer: -840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3722 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Suppose 2*h - 8 = -j*b, 12 = 4*h - 3*b + 5*b. Is 9 a factor of 0 + (0 - h) - -17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63352741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8460.9976 + -8481. Let w = -0.036 + 20.036. Let v = w + a. Round v to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2035 - 316*n**2 + 571*n**2 - 253*n**2 - 106*n wrt n.\nAnswer: 4*n - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 smaller than -40903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/39 (b) -5\/71 (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7515*i + 188*i + 7789*i - 790*i to the form d*i + c and give d.\nAnswer: 14702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4157 - 0?\nAnswer: -4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(100\/76) + (-90)\/450. Let y(r) = -31*r - 2. Let d(a) = 15*a + 1. Calculate x*y(b) - 7*d(b).\nAnswer: 19*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.072 * -3865.\nAnswer: -278.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 1, z: 1, s: 2}. What is prob of sequence mj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025584789 rounded to five dps?\nAnswer: 0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3\/8, -3\/17, -5, 1630?\nAnswer: 1630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-108)*26\/(-182).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2*a**2 + 6)*(66 - 26 - 39*a**2 - 38) to the form s*a + c + u*a**4 + h*a**3 + w*a**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 64 + 128 - 64. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 350 * -13.7.\nAnswer: -4795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -245\/3 (b) -5 (c) 92 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 17 - 43 = 0. Solve -7*f + 11*f = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/2, 0.15, 2\/7, -1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/23)\/((-1)\/(-2)). Suppose -2*d = -4*d - 336. Let n be l\/3 + 64\/d. Which is the third smallest value? (a) 0 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:44 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - 0.05. Let o = n - 0.03. Let c = o + 2.06. What is the nearest to -2\/3 in c, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2768949, 5537878, 8306809, 11075742, 13844677, 16613614?\n\"Answer: u**2 + 2768926*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + z**3 + 2*z**3 + (-z**2 - 5*z**2 + 3*z**2)*(z + z + 0*z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cho when three letters picked without replacement from ooohccodcc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/73 (b) -964 (c) 0.101 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19363 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 1959, 5089, 9473, 15111?\nAnswer: 22003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*m. Suppose m = v + z + 3, 4*z + 20 = -0*z. Let g be (-1)\/(2\/(-68)*v). Solve -5*o - 2 + g = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuubuuububbububb. What is prob of picking 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-1*4)*1036\/(-35)*(-750)\/(-300)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 7*g**2 - 7*g - 1. Let q be b(-7). Let x = -42272 - -42536. Calculate the greatest common factor of x and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let t = -4 - -9. Suppose t*i = 6 + 4. Let y(k) = 2*k - 5*k**2 - i*k. Determine y(l(g)).\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v**3 + 8*v - 4. Let k(x) = x**4 - 9*x**3 + x**2 + 9*x - 5. Let g = 29 + -18. Suppose -7*c = -g*c + 12. Let i(j) = c*l(j) - 4*k(j). Factor i(r).\nAnswer: -4*(r - 2)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = h - 8. Let b(q) = -q + 1. Suppose 2*c - 28 = -12*c. Let u(m) = -m**2 - 2*m + 1. Calculate c*b(n) + h*u(n).\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03668901 rounded to four decimal places?\nAnswer: -0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -27 + -8 + -19 + 40 + (12 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2, -4, 3, 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*r**6 - 89*r**2 - 33*r**6 + 75*r**6 wrt r?\nAnswer: -14160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7789 + 8280. Sort -1\/3, x, -5 in decreasing order.\nAnswer: x, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 405?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729054.\nAnswer: 2, 3, 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 60*t + 0 - 6 - 7 + 0 - 59*t. Let y be o(14). Suppose 0*r = 2*r - 8. Solve y = -b + r*b - h, -5*h = -25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*l - 1311 = 5*l, 3*z - l = 3933. Suppose -3*y - 2*y - h + z = 0, 1072 = 4*y - 5*h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356403 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 984 - 987. What is the fourth biggest value in 1, -15, 2\/11, w?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55128 is divided by 1323?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {z: 2, h: 3, n: 3, d: 12}?\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2 = 2*a + p, 5*p = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3572705032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51069 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 6966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47183 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from jrjqrrqjqrrqrrrjr?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:40 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 14*t + 9. Let i be w(-5). Let d = i - -86. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649 by 7715.\nAnswer: -649\/7715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eet when three letters picked without replacement from {t: 2, e: 11}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**5\/40 + n**4\/3 + 2*n**3\/3 - 7. Let c(d) be the third derivative of f(d). What is the first derivative of c(m) wrt m?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 66\/(-4)*(-2)\/3. Let s(q) = -q + 5. Let f be s(0). Suppose 1 = -d + 5*j + 7, d - 16 = -f*j. Calculate the highest common factor of d and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of 23*q**4\/24 - 35*q**3\/6 - 3283*q**2 + q. Let s(m) = 8*m - 12. Let h be (18\/(-2))\/((-3)\/(-2)). Give h*l(x) + 17*s(x).\nAnswer: -2*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -7.6. Let u(g) = -11*g - 17. Let v be u(-7). Let h be 3*2\/v*8. Which is the biggest value? (a) m (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 + o**2. Let p be (-85234)\/(-133) - (-1)\/7. Let b(c) = 3*c**2 + p - 641. Determine b(a(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11359 + 13092. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/30*p**5 + 0*p + 0*p**4 + 0*p**3 + 4*p**2 + 0. Let a(x) be the third derivative of x**5\/6 + 6*x**2. What is a(i(g))?\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.364187146 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -74d (base 16) in base 6?\nAnswer: -12353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -10 - (103 - (-71 - -163)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/28)\/((-4)\/(-8)). Sort 0.5, v, -2\/13.\nAnswer: -2\/13, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**3 + 177*r**2 - 19*r - 2. What are the prime factors of f(12)?\nAnswer: 2, 7, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(343) + 5 + -1 + sqrt(343) + sqrt(343) + sqrt(343) + 4)**2 - (sqrt(280)\/(sqrt(40)*-2))**2) + 5.\nAnswer: 448*sqrt(7) + 22217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, 1 j, and 1 y when four letters picked without replacement from ajyyjjoyoyayyoj?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2272*t - 2283*t - 88 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 - 3*k + 2. Suppose 0 = -2*p - 10 + 50. Suppose o - 1 = 2*c - 17, -5*c - o = -26. Suppose -p = -c*m + m. What is j(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 + -c531?\nAnswer: -c4de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 32. Let g be ((-18)\/(-24))\/((-1)\/b). What is the first derivative of -3*j**3 - 2*j**3 + 5*j**3 + 1 - 5*j**g wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**4\/24 - 12242*b**2. Let m(y) = 4*y + 11. Calculate -5*i(z) - m(z).\nAnswer: z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1196534 (base 10) to base 9\nAnswer: -2223302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 71 - -5b5?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n - 472. Calculate m(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, v: 11, o: 2, r: 1}. What is prob of sequence oz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/30 - r**4\/3 + 16*r**2. Let d be w(-6). Let o = -26 - d. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + y**2 - 2*y - 5. Let c(z) = 6*z**3 + z**2 - z - 4. What is 5*c(p) - 4*v(p)?\nAnswer: 2*p**3 + p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7)*-1 + sqrt(21)\/sqrt(48))**2.\nAnswer: 1183\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 7) in base 12?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - r = 5 + 6, -9 = 3*r. Let x = 52 - g. Suppose x = 4*d - 0*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2131756 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545 a factor of 663354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52479 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 (base 10) in base 6?\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 475636149 to the power of 1\/2, to the nearest integer?\nAnswer: 21809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1606*d**4\/3 - 2*d**3\/3 - 132*d**2 - 596*d. What is the second derivative of z(m) wrt m?\nAnswer: -12848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = 7. Let c(z) be the third derivative of z**3\/6 + z**2. Let t(g) = -2*g**3 + 6*g**2 - 6*g - 4. Let j(q) = p*c(q) + t(q). Factor j(l).\nAnswer: -2*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**3 + 2431*q**2 - 305*q - 233. What is z(-304)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6 (b) 2\/99 (c) 1 (d) 1\/4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/111655 + 13399\/22331. Solve 9\/5*d**3 - 3\/5*d**5 + 0 + 6\/5*d - b*d**4 + 3*d**2 = 0 for d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 23.2 - 62.5.\nAnswer: -39.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 167 = -158. Suppose 5*h - 4*o = -66, 0*h - 5*o = -5*h - q. Let m(k) = k + 14. Let n be m(h). Solve 3*w = 4*r - 4, 4*w + 0*r - r + 1 = n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 35745664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - f + 56. Suppose -5*k + 0*m = -m, 5*m = -3*k. Does 8 divide w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b3a (base 13) in base 8?\nAnswer: 114531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12907 (base 11) to base 15.\nAnswer: 56b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j**4 + 0 + 24*j**4 - 2*j - 6 + j**3 + 4 as f + i*j + z*j**2 + w*j**3 + u*j**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1*(-1 + 0). Let h = m + 0. Let d = 0.4 - -0.1. What is the nearest to 0.1 in d, h, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.83 + 2.43. Sort z, 3, 0 in descending order.\nAnswer: 3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbljljbbjbbbqjbjc. What is prob of picking 1 b and 1 q?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2525 + 2813 = 0. What is the greatest common divisor of l and 7152?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + -1 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -25*r - 14. Let y(w) = -24*w**2. What is y(d(c))?\nAnswer: -15000*c**2 - 16800*c - 4704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44020133?\nAnswer: 44020133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 9*r**2 + 6*r + 10. Calculate the remainder when i(-10) is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/6 + 2223*c**2 - 1. Let g(r) = 2*r - 9. Let b be g(6). Let t(z) = -b*z**2 - 2 + 2. What is t(h(v))?\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 239 = 50. Suppose -6*i + k = -3*i. Suppose -3*l = -5*x - 2*l + 30, 4*l = -2*x + 34. What is the highest common divisor of x and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-6 - -6 - 0)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 48\/3 - -1*1. Let y = f + -9. Let m = y - -41. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.09, -42469, -3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*f - 0*w + 334, 2*f - 128 = 4*w. Suppose 2*j + 41 - 103 = 4*r, 3*j = r + f. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -134, -227, -336, -461, -602?\n\"Answer: -8*d**2 - 53*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2145122 and 2144887 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and -2686.\nAnswer: -510.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 7 - 2*x**3 + x**3 + 2*x**2 + 4*x**3 + 2*x**4 to l + m*x**2 + g*x + a*x**4 + s*x**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 13. Let v be c(-15). What is the common denominator of 15\/8 and (21\/v)\/7 + (-182)\/(-44)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*k - 85\/3*k**2 + 0 + 2*k**3.\nAnswer: k*(k - 14)*(6*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*c*g**4 - 11873*c*g + 16924*c - 6 wrt g?\nAnswer: 112*c*g**3 - 11873*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6 - 4*n**5 - 4*n + 8*n**3 - 2 - n**2 + n**4 - 7*n**2 + 3*n**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6 + 8 - 4*r**3 + 8*r**2 + 5*r**3 - 6*r - 2*r**3. What are the prime factors of c(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*f - 8*f**3 + 6*f**3 - 1022 + 1022 - f**4 + 2*f**4 - 2*f**2 as i*f**2 + b*f**3 + m*f**4 + d + w*f and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 2230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*d - 33*d + 23*d + 35*d)*(4*d - 3 + 3) + 6*d**2 + d**2 - 2*d**2.\nAnswer: 249*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = 2*d + 4, 3*p + 2*d = 16. Solve 24 = -4*k + p*s, -5*k - 8*s + 9*s - 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -0.2, -0.26, -3, 0.254, 4\/7?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -15*s. Let v(x) = -6*x. Calculate v(g(z)).\nAnswer: 90*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195596524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 312? (a) 1\/10 (b) 0.5 (c) -5 (d) -0.2 (e) 10\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*s + 0*s - 2*s + 2 + 7*s)*((-3 + 0 + 4)*(-1 + 7 - 9) - 7 - 5 - 4).\nAnswer: -361*s - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.13053123 and 622.\nAnswer: 620.86946877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2951?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 11:38 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**5 - 546*j**4 + 27435*j**3 - 236904*j**2 + 653772*j - 443760 = 0.\nAnswer: 1, 4, 5, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 7:17 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335, 1364, 3085, 5492, 8579, 12340, 16769?\nAnswer: 21860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3393*u - 1140098. What is z(-336)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.09 or 11.42?\nAnswer: 11.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q. Let k(x) = 24*x**2 + 10*x - 16. Let i be k(4). Suppose q = 5*g - 377 - i. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 27*b + 109*b - 2 + 3 in the form q + i*b and give i.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74086190 rounded to the nearest ten thousand?\nAnswer: -74090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-9)\/6)*0. Let k(d) be the third derivative of -2*d**2 + 0*d + 0 + b*d**3 + 1\/12*d**4. Let h(t) = 3*t**2. Determine h(k(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 69. Let x be (-3)\/6*(-2 - 0). Suppose 0 = -y + d + x. Solve y*z + 11 = -q, 0 = q - 0*z + z - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:12 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -584 + 587. Let r be 3\/(18\/(-3))*0. Solve r = 3*n - 5*t - 1, 5*t + 22 = -5*n - v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 6 = 3*s, 3*s + 2*i = 3*i + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1, -11.9, 3\/47, 0.4.\nAnswer: -11.9, -1, -2\/3, 3\/47, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 35*d**3 - 3*d + 4. Let g(o) = 34*o**3 - 2*o + 3. What is -4*g(i) + 3*p(i)?\nAnswer: -31*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*i**4 + 0*i**4 + i**4)*(0*i - 3*i - 2*i) - 3*i**5 - 14*i**2 + 14*i**2)*(-1 - 4 + 3).\nAnswer: 86*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 24*b**4 + 104*b**4 + 6190*b**3 - 6188*b**3 + 1 in the form m*b**4 + i*b**3 + w*b**2 + f + n*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2362.\nAnswer: 18896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100011 + 11?\nAnswer: -100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -11, -2 in decreasing order.\nAnswer: -4\/7, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -723 + 3617\/5. What is the nearest to x in -1, 5, 0.079?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 98 and -98.\nAnswer: -9604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 + k**5\/20 - k**4\/24 - k**3\/6 - 105*k**2. What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36c - 9?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + (-7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 33*j + 3468 = 239*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + fd0?\nAnswer: fd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54199 take away -0.2?\nAnswer: -54198.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 414, -6.4, 7, 4, 0.1 in increasing order.\nAnswer: -6.4, -5, 0.1, 3, 4, 7, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-9)*(s**(-1\/6)\/s)\/s*s**9*s*s**(2\/9) assuming s is positive.\nAnswer: s**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, 64, -91, -2, 6\/5?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayayzjajy. Give prob of picking 2 a and 1 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -9*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*o - 54, 2*k + 61 = -5*o + 3 - 18 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*g**4 - 3*g - 16*g + 0*g wrt g.\nAnswer: 336*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 253.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010111 (base 2) in base 9?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -743, -5\/6, 0.5 in increasing order.\nAnswer: -743, -15, -5\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 40*s + 8*s = -230, -79*s - 59*s = 4*z - 137*s - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 788993\/(40\/(8 - 3) + 0 + -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 4) in base 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 - 1326 - 89)*(-l**2 - 2*l**2 + 2*l**2).\nAnswer: 1228*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 26*w + 11. Let f(y) = -y**2 - 13*y - 5. Let i(k) = -5*f(k) - 2*v(k). Let u be i(13). What is the units digit of (-62)\/3*(u + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -5*l + 28, 5*l + 0*l = -2*a + 31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 1774*o - 1776*o + 39 = 0, -2*l + 3 = -0*l + 5*o for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o + 9. Let y(q) = -6*q - 1. Let b(u) = r(u) + 4*y(u). Give b(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 2, q: 1, k: 1}. Give prob of picking 1 d and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -142, -221, -304?\n\"Answer: -2*d**2 - 69*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -2\/2491?\nAnswer: -2\/2491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128693155 is divided by 18906?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4444, 4440, 4436, 4432, 4428?\nAnswer: 4424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 56.7?\nAnswer: 56.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c + 41*c**4 + 6*c - 7*c**2 - 173*c**4 + 4*c - 108*c**4 wrt c?\nAnswer: -5760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w - 4. Let b be c(-4). Let d(u) be the first derivative of u**4\/4 - 4*u**3\/3 + u**2 - 4*u - 26. Let i be d(b). Solve -i = 4*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssq when three letters picked without replacement from {s: 3, q: 12}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 150350313 (base 6) to base 4\nAnswer: 23313011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -412d47?\nAnswer: -412d46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*v**2 - 7*v**2 - 110*v - 7*v**2 + 19*v**2 - v**4 wrt v?\nAnswer: -12*v**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2736723?\nAnswer: 3, 11, 127, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 7730700 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 4 = -3*t - 2*d, -5*t + 50 = -5*d. Let w(l) = -16*l**3 + 15*l**2 - 11. Let k(z) = -3*z**3 + 3*z**2 - 2. What is t*k(q) - 2*w(q)?\nAnswer: -q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 174686.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43976\/9 - 4891. Suppose -36*u = -29*u + 14. What is the common denominator of h and (13\/(-286))\/(u\/(-52))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u + 22*u = 80*u - 81. Which is the closest to -19? (a) 0 (b) -5 (c) 0.03 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 39 = 2*o. Let l be 762\/(-21) - (-4)\/14. Let g = -33 - l. Calculate the greatest common divisor of o and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5327 = -9*o - 55*o + 6705. What is the greatest common factor of 18 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -5.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (-6*(4 + (sqrt(243) - (sqrt(243) + 1 - sqrt(243))) + -1*sqrt(243)*1)*-6)**2) + 0.\nAnswer: 69960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -245 + 150. Let f = z + 94.9999558. Round f to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -18, -4755, 1, -4 in increasing order.\nAnswer: -4755, -18, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b = 36*b + 21. Solve -4*y - 4*q + 4 = 0, -5*y = -y + b*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15950214 + 1.5959?\nAnswer: -15950212.4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 38.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 42 = -2*i, 3*i = t - 2*t - 19. Find the common denominator of 4\/t + 142\/176 + -4 and -39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/75 + -136\/525. Let i be (((-28)\/16)\/7)\/((-16)\/(-16)). Which is the biggest value? (a) i (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(5) - sqrt(33))*-2)\/((sqrt(11) + sqrt(11) + sqrt(44)\/sqrt(4) - sqrt(11))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 - -52. Let p = 215 - n. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3517802 or 2.5?\nAnswer: -3517802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:18 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 8:49 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16551669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7332 - -12683. List the prime factors of k.\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 36.7. Let y = 2.6999896 - a. What is y rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.348 - -0.052. Which is the closest to -2? (a) -4 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -131?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 30. Let h be 4\/(-10)*10*-1. Solve -12 = h*b - 0*l - 2*l, -2*b + 5*l + f = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 6584 - 2260 = 0. Suppose 759 = y*b - 1473*b. Is b a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14837\/(-26466) + 3 + 108\/(-33)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14187*f**2 - 6*f + 16. Let y be b(4). Round y to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + (-84)\/(-8). Let f(u) = u - 9. Let k be f(r). What is the highest common divisor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 8*d**2 + d - 4. Let b be k(8). Suppose 13 = o + 4*o + b*p, -4*o + 4*p = -32. Solve o*c + 4*y + 6 + 1 = 0, -3*c = -y - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/27742 and 3\/121?\nAnswer: 305162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**3 + 7*c**2 + 55*c - 377. Does 70 divide y(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -36*s**2 + 2487*s - 168. What is z(69)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 60 = -4*j, 5*j + f - 49 = -14. Let o(b) = b + 2. Let u be o(0). Sort j, 7, 4, u.\nAnswer: u, 4, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 30*a + 25 = 0, -11*y + 128 = 1185297*a - 1185292*a for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 8191790*r = 0. Calculate r.\nAnswer: 0, 4095895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12543305*f**3*x**3 - 3*f**3*x**2 + 3*f**3*x - 280*f**2 - f*x - 19*x**2 wrt x.\nAnswer: 75259830*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20743 + -9299. Suppose 3*t + 22909 = 2*x, -g = -3*x + 2*x + 5*t. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 3. Let p be o(-2). Let r = 3 - p. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61260 is divided by 20305?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94139 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26911 plus -902?\nAnswer: -27813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -29, 9, 49, 91, 135?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 182 + 491739.\nAnswer: 491921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4\/4 - 131815*o**3\/4 - 263690*o**2 - 527420*o = 0.\nAnswer: -4, 0, 26371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347057579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012094 less than 1012092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.8897 - -23.9. Round s to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, i: 1, t: 1, p: 1, c: 3, r: 4}. What is prob of picking 1 i, 1 r, 1 c, and 1 t?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1585 + 583. Suppose -6*b + z = -556. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(11) - (sqrt(55)\/(-1*sqrt(5)))**2.\nAnswer: -12 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -30*v - 55. Give r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*52\/10881)\/((-24)\/(-36))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 18 = 7*o. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19607 and 0.3.\nAnswer: -0.058821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*z**2 - 4619*z**4 + z + 4617*z**4 - 14 + 11 to y*z**4 + f*z**2 + o*z**3 + x + q*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24804 by -53.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 15. Let u be q(-13). What is the highest common factor of u and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1314087, 2628174, 3942261, 5256348, 6570435?\nAnswer: 7884522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 693?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/9? (a) 1\/5 (b) -6\/47 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1922*t - 1921*t - 5*u - 24, 2*t - 2*u = 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - -4. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*b = -19, 0*g - 3*g - 4*b = -9. Let r be 310\/75 + g*(5 - 1). What is the second biggest value in -14, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/2)\/(690\/(207\/(-9)))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 11)*(13 + 150\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 = 1016*w - 999*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315823 is divided by 2547?\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from ddsdbdsdsbed.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-6) + 7\/21. Suppose -7*o + 2*t = -2*o - 80, -32 = -n*o - t. Let p = 78 - 47. What is the remainder when p is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/3, 2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, 28, 650\/3, 11 in decreasing order.\nAnswer: 650\/3, 28, 11, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174404, 174817, 175230, 175643, 176056, 176469?\n\"Answer: 413*v + 173991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.63606 rounded to 1 dp?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 + 71 = 6*t. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + 0.1. What is the biggest value in q, -2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1 + -3 + -1)**2 + (-2*sqrt(475)*4 + sqrt(475) - (-2*sqrt(475)*4 + sqrt(475))**2).\nAnswer: -22784 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 324235.3 centuries?\nAnswer: 32423.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12993, 108731, 368595, 874647, 1708949, 2953563, 4690551?\n\"Answer: 13677*z**3 + z**2 - 4*z - 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(-13))**(-4\/19) assuming d is positive.\nAnswer: d**(-40\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-90)\/(-180)*142\/4*1\/1.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - -3 - 2\/10. Let n = 0.78 + 0.22. Which is the closest to 4? (a) n (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t + 176 = -610 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.839497*39.\nAnswer: -71.740383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 29*h**2 - 52*h - 11. Give m(27).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:07 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486*f + 5895*f + 2222*f.\nAnswer: 9603*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/(x*x\/(x\/(x*x**(-4)\/x))))\/x)\/x*x*x*x**(10\/9))\/((x\/x**(1\/10))\/x**(-2\/19)))**15)**(-15\/8) assuming x is positive.\nAnswer: x**(-43655\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 523253 (base 6) in base 14?\nAnswer: 11561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4421 and -0.5.\nAnswer: -2210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 22*r**2 + r - 72. Let y be x(24). What is y rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*s - s + 4834, 0 = 4*s + 2*p - 19266. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/41?\nAnswer: -20\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 5. Let d = -5042 - -5040. Let v(b) = -b - 5. Calculate d*l(h) + 3*v(h).\nAnswer: -h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1079232 by 132.\nAnswer: -8176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -5*d**4\/2 + 14*d**3\/3 - 2*d**2 - 26. Factor b(j).\nAnswer: -2*j*(j - 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g**3 + 9*g**2 - 31*g + 3. List the prime factors of y(3).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 203320 + 202852 = 0 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 2\/11, -0.1, -2\/573, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 790, 1591, 2392, 3193?\n\"Answer: 801*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-4))\/(d\/d**(-17)))\/(d**(-2\/7))**(-3\/5))**4 assuming d is positive.\nAnswer: d**(-1704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -564945, -564944, -564943, -564942, -564941, -564940?\n\"Answer: d - 564946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23 from 518.520134.\nAnswer: 541.520134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 98. Let q(s) = 3171*s + 91. Let o(k) = 209*k + 6. Let z(u) = -91*o(u) + 6*q(u). Determine l(z(d)).\nAnswer: -196*d**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/13 - (-4)\/260*23. What is the third biggest value in 3, x, -1\/2, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**2 + 0*c**2 - 1 - 10 - 7*c + 7*c**2. Give b(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16067 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-22 - -5) - -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8134?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*u + 10 = 0, 4*g - 3*u = -2*u - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 - -361\/2. Find k such that 1\/2*k**5 + 7\/2*k**2 + o*k**3 + 0 + k + 5\/2*k**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 1 + 1)*(1 + 2 - 4) - 1540 + 937*j - 468*j - 470*j to the form y + w*j and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 1 - (23 + -17 + 9 + -25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 3 - -2 - 0) + -23 + 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 854 (b) 20 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*a - 4*k, 3*a + 13*k - 15*k = 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-2 - -2 - -2) + 17 + -25)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7063*r**3 - 5*r**2 + 5*r**2 - 7070*r**3 + 0*r**2.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s - 45. Let x be v(5). Suppose 17 = -0*h + h + x*c, -2*c = 6. What is the highest common divisor of h and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6943902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -142434526492+-3\nAnswer: -142434526495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.1 - 2.21. What is the nearest to 2 in 0.4, b, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/1533 and ((-22360)\/280)\/(-43)*14\/(-2628).\nAnswer: 9198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129)\/(-86)*(-1)\/4*1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -4, 113\/7, -93.\nAnswer: -93, -4, -0.02, 113\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**6\/24 - w**5\/20 + 14*w**2. Let a be ((-2)\/5)\/((-4)\/20). What is the remainder when p(a) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 7. Let s(a) = a - 6. Let z(t) = 6*l(t) - 7*s(t). Let y(u) be the first derivative of -u**3\/3 + 61. Give y(z(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5775, -11547, -17317, -23085, -28851, -34615, -40377?\nAnswer: -46137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3025) + 2*sqrt(3025) - sqrt(3025))\/(sqrt(30)\/(sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6))) + -3.\nAnswer: -3 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2817, 5649, 8491, 11343, 14205, 17077, 19959?\n\"Answer: 5*r**2 + 2817*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -8 - 11\/5*k**5 + 0*k**4 + 0*k**2 + 0*k**3 - 12*k. Differentiate v(d) with respect to d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 - 2*w - 7. Calculate the remainder when o(7) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(132)\/(sqrt(12)*-2) - ((sqrt(1100) + 1 + sqrt(1100))*2 - sqrt(1100))**2.\nAnswer: -9902 - 241*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 239825?\nAnswer: 239825.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(3\/(-12)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -18. Let y = k + 5.9. Suppose -f - 30 = -5*t, -2*f - 2*f - 15 = t. Which is the closest to y? (a) t (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2508221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-151)\/3*(0\/6 + 3). Let s = -122 - z. Calculate the remainder when s is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 113?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 31833?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.150908 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-538*n**3 + 538*n**3 - 2*n**4)*(5*n + 9*n + 5*n).\nAnswer: -38*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 take away 85?\nAnswer: -74.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**0)**(43\/4)*(n**(-1\/2))**(-37))\/(n**3\/n**(-5)*(n\/(n\/(n*n*n**(2\/21)\/n)))\/n**0) assuming n is positive.\nAnswer: n**(649\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1003 - 519. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -610, 1800, 5804, 11402, 18594?\n\"Answer: 797*z**2 + 19*z - 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.2 + 24. Put g, -2, 3, -3\/4 in ascending order.\nAnswer: -2, g, -3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12304229 - 12304320.00033. Let z = -0.062 + -90.938. Let q = z - p. What is q rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9418313 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 651 - 549. What is the highest common factor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 92. Let o(r) = -10*r + 460. What is 3*o(j) - 16*z(j)?\nAnswer: 2*j - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -4*t**3\/3 + t. Let a(z) = -2*z. Give a(n(u)).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a + 3*a**4 + 27*a - 3*a**3 - 2*a**2 - 15*a as z*a**4 + k*a**3 + j*a + u + o*a**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**29\/(b**(-23)\/b))\/((b**(1\/28)*b)\/b)**(-43) assuming b is positive.\nAnswer: b**(1527\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 523841, 0.5, 1, -2.\nAnswer: -2, 2\/27, 0.5, 1, 523841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 970627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 7100 + 566. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 24*d + 8. Let o(v) = -v**2 - 18*v - 19. Let q be o(-16). What is the hundreds digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/238 and 81\/224.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 31*t**2 + 2*t + 167. What is the remainder when a(-31) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.5173 + 14.517189447. What is f rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 114, 177, 296, 489, 774?\nAnswer: 1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {m: 6, c: 2, j: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 7*x**2 + 6*x + 4. Let b be g(5). Let a be (-9)\/(-6)*b\/(-12). Suppose -18 = -a*v - 4*p, 4*v - 2*p - 43 = -3*p. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 14.86. Let i = g + -2.86. Let m = 2075\/8 + -259. What is the second smallest value in m, -1\/6, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a21a + 4?\nAnswer: -9a216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 279 = 5*j, -3*j - 18 = -5*f + 1267. Let c be (-1*(-2)\/(-4))\/(6\/4). Put c, -0.4, 2, f in descending order.\nAnswer: f, 2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**2 + 106*a - 357. Calculate p(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p - 4. Let v be j(3). Let g be (2\/3)\/(4\/63). Let t = g + v. Which is the third smallest value? (a) 3 (b) t (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 1 = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*z + 33 - 3, 2*z + 5 = 3*b. Suppose 0 = -z*c - 0*c + 4*t + 389, c = -4*t + 73. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4160*f - 25 = -4155*f - 2*h, 109*f + 545 = -4*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-76)\/(-7) + (-3)\/(-21). Let g(y) = y**3 - 11*y**2 + 3. Let k be g(u). Sort 1.3, k, 1.\nAnswer: 1, 1.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178507 less than -2526195?\nAnswer: -2526195.178507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 2 + 4)*(q - 3*q + 0*q) + q - 2*q + 0*q - 82 - 7*q + 82)*(856*q**2 - 485*q**2 - 419*q**2) to n + h*q + g*q**3 + m*q**2 and give g.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnnlnllnllll. What is prob of picking 2 n?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/(-1180)*10\/4)\/((-3)\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + b + 3, b - 1 = d - 4. Suppose d = 4*w + 140 + 112. Which is smaller: w or -193\/3?\nAnswer: -193\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(405) + (-1*sqrt(405) - sqrt(405)))*2 - (-2 + sqrt(405) + (1 + sqrt(405) - sqrt(405)))))**2*6.\nAnswer: -2916*sqrt(5) + 196884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 16 + 20. Suppose 525*l - 505*l - 11520 = 0. Calculate the greatest common divisor of l and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*j = 121 - 96, -23*g + 4*j = -169 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3067644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6344 - -0.634368176. Round r to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t. Let m be ((-2)\/16)\/((-24)\/(-48)). Which is the closest to t? (a) 4\/7 (b) 6\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20377 + -20377.4. Let k = 5 + -9. Which is the biggest value? (a) k (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l**3 - 1\/4*l**4 + 0*l + 2*l**2 + 0. Let t(o) = 491*o - 95*o - 393*o. Give x(t(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16203 + r - 32398 + 98*r**3 + 2*r**2 + 16194 to the form j*r**3 + z*r + y*r**2 + d and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-15)*10*(8 + 6230\/(-8)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1132\/2293 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - -1) + (-30 - -28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217 - 58. Let u = 39 - 34. Suppose q = 2*l - u*l. What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 386.8 + -386. Sort -3\/4, 3, 0.5, n in descending order.\nAnswer: 3, n, 0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 312*l + 51. Let m(i) = 1247*i + 203. Let n(g) = 2*m(g) - 9*z(g). Let t(q) = -471*q - 80. Let f(v) = -8*n(v) + 5*t(v). Is f(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b. Let k = -3 + 3. Let l(y) = y - 5*y + k*y + 3*y. Calculate l(g(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*o = 12, 27 - 23 = -2*o. Let q be ((-8)\/6)\/(5\/15). Let u be 40\/(-5)*2\/q. Solve 5*x - 10 = 3*a + u, a - x = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + -116. Put m, 1, 3 in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-16)\/176*44.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 901918 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453391 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 + 1149*k - 1152. Determine z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -639\/5?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 9*p - 6. Let n be h(-10). Let x = n - -4. Suppose 23 = 5*c + x. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1349 by -10.\nAnswer: 1349\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 9 - 3*h + 8*h**2 + h**3 + 3*h. Let q = -12 - -4. What is the remainder when 49 is divided by u(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170 - 15705?\nAnswer: -16075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 - (-43)\/3. Suppose -2*q - 4 = n. Let c(y) = -y + 5. List the prime factors of c(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10089aa (base 11) to base 8.\nAnswer: -6633172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -56. Suppose -3*a - 5*z + 0 = -7, -4*z + 11 = -3*a. Is 534\/9 - a\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 5) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -296*t**3 + t + 500*t**3 - 271*t**3 - 253*t**3 - 185 wrt t.\nAnswer: -1920*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 11. Let b be (-4 - d)*(-4)\/2. What is the third derivative of -6*p**5 - 4*p**4 - 3*p**2 + b*p**4 wrt p?\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -19) + -39 - (-10 + 32 + -29).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70584 to 2 decimal places.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 336*q\/5 + 14112\/5.\nAnswer: 2*(q + 84)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28*16\/28 - (2 - -5). What is the greatest common factor of f and 405?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -67. What is the third biggest value in -96, 0.5, p?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 14. Let u(y) be the second derivative of 2*y + 0*y**3 + y**2 + a + 0*y**5 + 0*y**4 + 1\/15*y**6. Find the first derivative of u(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1069904978*t**3 + 148353746?\nAnswer: 3209714934*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*n*w**3 - 61588*n + 18612*w**4 wrt w?\nAnswer: -12*n*w**2 + 74448*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.30839 centimeters to kilometers.\nAnswer: 0.0000330839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4480 and 18331740?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 359300241 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/7 (b) 0.009 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/25137 and -47\/611667.\nAnswer: 1835001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.4 - -0.4. Let y = -0.16 + -0.34. Suppose -2*r = 2*x + 12, -5*r - 2 - 4 = -3*x. What is the closest to -1\/4 in m, y, x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2253*g + 529. Is b(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:47 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 917*t**5 - 165*t**3 + 132*t**2 - 90*t + 5.\nAnswer: 55020*t**2 - 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 48, 909, 4 in decreasing order.\nAnswer: 909, 48, 4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 78. Calculate t(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 8051153 and 2.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + 3.99. Suppose 10 = w + w. Suppose 5*i + 25 = w*k, 4*i - 3*k + 13 = -2. Which is bigger: i or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.451 - -0.091. Let p = t + 0.35837. Round p to four dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/105 and -61\/1892175.\nAnswer: 13245225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(4 - -16) + (-31772)\/(-1690)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14070.43843 to the nearest ten.\nAnswer: -14070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16027, -82861, -194243, -350167, -550627, -795617, -1085131?\n\"Answer: l**3 - 22280*l**2 - l + 6253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -55 + (-1 + 2 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 198*b**3 - 1433*b**2 + 427*b + 2058 = 0.\nAnswer: -1, 14\/9, 147\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -83, -119, -153, -185, -215, -243?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*j - 7*j + 212 = 0, 5*a - 226 = 3*j. Suppose a*v - 28 = -28. Solve v = -h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11483826 from -2.12452.\nAnswer: -11483828.12452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 7. Give c(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-705)\/94*68\/(-255)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40540*b**3*s*w + 2321701*b**3*w**2 - 4*b**3 - 1918*s*w**2 wrt s?\nAnswer: 40540*b**3*w - 1918*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12619.54781 plus -778.21?\nAnswer: 11841.33781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.021 and 0.04543047.\nAnswer: 0.02443047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 6*a - 56. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 - 3*p**2 - 3*p**2 - 433174*p + 433174*p + p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47713\/119320 - 3\/23864. Suppose n - m = -4, -5*m + 3 + 7 = 0. Which is the closest to n? (a) -0.3 (b) 19 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -27*k**2. Let j(m) = m**2 + 9*m + 9. Let n(x) = -x**2 - 4*x - 4. Let c(o) = -4*j(o) - 9*n(o). Calculate y(c(q)).\nAnswer: -675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -687\/8 - -86. Let k = 0.2 + -5.2. Let f = -0.03 + 0.03. Which is the smallest value? (a) k (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*f + 8 - 148 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/9 + 3056*v\/9 - 1167392\/9.\nAnswer: -2*(v - 764)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-2)\/((-8)\/3)). Suppose -25 = -3*j + 5*k - 0*k, 0 = 4*j + 4*k - 44. Suppose t + o*t = j. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/50 - 19\/100. Let k be ((-6)\/9)\/(3 + -1). Let s = -0.7 + 1.2. Which is the nearest to k? (a) 3 (b) s (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 94 + 42 - 6 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 smaller than 884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v**3 + 41*v**3 - 113*v**3.\nAnswer: -118*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/10 + i**4\/3 - i**3\/2 - 38*i**2. Let c be z(4). Let p = c - -72. Solve -v = -0 - p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, 5, -33, 11 in ascending order.\nAnswer: -33, -2, 5, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 11*m - 6. What is the remainder when u(-8) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213\/184 - 18\/23. Suppose -3*i = i. Let h = 1 + i. Sort u, -3\/7, h in descending order.\nAnswer: h, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -843.8 to the nearest ten.\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3\/4)*(-26)\/(-8). Suppose 4*d + 0*p + 40 = 4*p, 4*d = -5*p - 58. Is t < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496038.01 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5196, 8419, 11644, 14871, 18100, 21331?\n\"Answer: v**2 + 3220*v + 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 11, 3, -2, 4, 57 in ascending order.\nAnswer: -2, 3, 4, 7, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvevexexxxxlexlx. Give prob of sequence vn.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = -16*p + 353 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2402.04847 to 1 dp.\nAnswer: -2402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-1)\/18*4. Which is the second biggest value? (a) 3 (b) -27 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 11. Let v(d) = -d**3 - 60*d**2 + 541*d - 158. Calculate the remainder when v(-68) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 26 = 182. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -15. What is the common denominator of 1 - ((-261)\/6)\/z and 35\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 160 - -469?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -y - 0*b + 204, 3*y = -3*b + 603. Suppose -11*l + 5*l = -y. Suppose -7*c - 30 = l. Let t(n) = n**3 + 9*n**2 + n + 6. Determine t(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 3774859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.279159 millennia?\nAnswer: 4279.159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**2\/2 - 2*k - 16. Let r be z(-5). Suppose f + r = 2*u, 0 = -5*u - 3*f + 9 + 26. Solve -w - 12 = -u*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23427.45 minus -5?\nAnswer: -23422.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 5 + 11 - (4 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 3. Let p(b) = 1534*b**2 + 1538*b**2 - 3071*b**2. Calculate p(c(l)).\nAnswer: 16*l**2 - 24*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246a2 (base 13) in base 10?\nAnswer: 438349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -30865 at most as big as -30807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h*m**4 + 19*h*m**2 + 4*h*m + 6479*m**4 - 29*m**3 + 3*m**2 - 4864*m wrt m.\nAnswer: 120*h*m + 155496*m - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923169236?\nAnswer: 2, 13, 173, 324941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 611474466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199036.\nAnswer: 2, 17, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -72.9. Which is the nearest to z? (a) -3 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*f = 18, 4*n - 19 = -f + 2. Let b = 10 - n. Solve -r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/105 and ((-64)\/36)\/(-16) - 852\/945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1381 + 7244 = 575*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -23*n**2. Suppose 2*h - h = 5*h. Let l(d) = -104*d - 3*d**2 + h*d**2 + 104*d. What is l(r(p))?\nAnswer: -1587*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 763505 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884916 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 928372720 to the nearest 1000000.\nAnswer: 928000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516 (base 7) in base 6?\nAnswer: 5543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.9 + 44. Let q = -572\/7 + 82. What is the closest to q in 2\/9, -1\/3, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 7 (b) 2\/7 (c) 1\/79 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1814, -2618, -3958, -5834, -8246?\nAnswer: -11194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 59*b**2. Let y(m) = 1366*m. Give y(s(t)).\nAnswer: 80594*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f = 56*f + 7785. List the prime factors of f.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 25 = -x, -3*p - p - 40 = -4*x. Let g be (72 + x)\/(-1 + 2) - -3. What is the highest common factor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(26)\/sqrt(200) + sqrt(13))) + -2)**2 + 3.\nAnswer: 2*sqrt(13)\/5 + 713\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 373, 864, 1551, 2434, 3513, 4788?\n\"Answer: 98*q**2 + q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 8584, 1, 3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 - 5*a + 4. Let h(z) = -13*z**2 - 11*z + 9. Let r(m) = -m + 2. Let w be r(-2). Suppose 1 = -7*b - 62. Calculate b*q(t) + w*h(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 11:51 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4374 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*o - 133 = -197, -5*i + 5*o = -120. Solve -5*g - i = -l - 48, 45 = 4*g + 5*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2667, 2658, 2649?\nAnswer: 2640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 852 and 142?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140068 and 593484.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13065820 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -201772*t + 1210633. Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c + 69*c + 66 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*i**2 + (2 - 2 + i)*(3*i + 2*i - 3*i) - 1 + i**2 + 1)*(-4 + 4 + 2*i) as x*i**2 + a*i + w*i**3 + h and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -305, 16, 7, -101.\nAnswer: -305, -101, 2, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*n - 118, -3*y + 177 = 9*n - 7*n. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -16 (b) -4 (c) 0.1541 (d) 2\/21 (e) 0.1 (f) -0.03\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 25*q - 33*q - 17*q + q**2 + 9*q in the form m + b*q + n*q**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.111 + -155161\nAnswer: -155160.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 36*t + 86. Give f(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-41)\/g)\/g**10)\/(g**(-22)*g**(-24)*g))**(-4) assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 233?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 108\/5. Let d = -894\/7 + 128. Let p = 3863\/57 + -203\/3. Sort p, d, h in descending order.\nAnswer: d, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 2)\/((-6)\/6). Suppose -3*r - 3 = -h. Is (-2 - r)\/((-11)\/1067) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 7*f**2 + 5*f**3 + 12*f**2.\nAnswer: 5*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 4. Let a be g(-2). Suppose -5*z + 4*i + 40 = a, z = i - 6*i + 37. What is the highest common factor of 48 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/46*(-2)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a + 12. Let u be w(-3). Are -10 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 7*a**2 - 1. Let f be v(7). Let y be 3 - 1 - (f - 1). Suppose 15 = -n + 3*m, y*n + 17 = 5*n + 5*m. Let t(q) = q**2 + 5*q + 4. Determine t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 6\/115 (b) 15 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/914 and -79\/6?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2331*n**2 - 806*n. Let m(i) = -21*i. What is m(w(t))?\nAnswer: -48951*t**2 + 16926*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 20. Let x be w(-5). Solve x*a - 9 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + c + c + c + 3. What is the units digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 2)*5.\nAnswer: 10 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*2)\/(1244\/365425*-47)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 - g**4 + (-2 + 4 - 4)*(-2*g**4 - 4*g**4 + 4*g**4) - 2*g + 2*g + 5*g**4 + 0*g**4 - 3*g**4 + 4*g**4.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(21\/3)*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + -1033654?\nAnswer: -1033626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -59. Let x(t) = -1 + 0 + 0*t**3 + 5*t**3 + t**2. Is x(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3500 is divided by 47.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 46*r - 31 + 139 - 31 - 48*r.\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/630 + l**6\/60 + l**5\/45 - l**4\/12 - 5*l**3\/18 + l**2 - 1. Factor c(s).\nAnswer: (s - 1)*(s + 1)**2*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2467.979 to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -655, -2 in ascending order.\nAnswer: -655, -2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -12164*t + 352708. Give i(29).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 5 = 5*y + 11*f, -4*f + 20 = 0. Let o be 10\/4 - 2\/4. Let t = o + -5. Sort 1, y, t in decreasing order.\nAnswer: 1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69637.07 kilometers to centimeters.\nAnswer: 6963707000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414511 is divided by 418?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -5. Let h(g) = 4*g - 5. Let i(v) = -3*v + 4. Let b(j) = -4*h(j) - 5*i(j). Is 3 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473626759 divided by -1.\nAnswer: 473626759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.54849ng to kilograms.\nAnswer: 0.00000000004254849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1. Let j(g) = -79*g + 4. Give 4*f(x) + j(x).\nAnswer: -79*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -1588?\nAnswer: -1576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2324\/392 + 2\/(-21) + -6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c - 20. Suppose 5*y - 2 - 1 = 3*s, -2*y + 3*s - 6 = 0. Put c, -1, y in ascending order.\nAnswer: -1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-y + 3*y + 0*y) - 3 + 3*y + 3 + (-3 + 2 + 2)*(-5*y + 4*y + 2*y))*(-8 - 7 + 10) + (1 + 0 + 1)*(-1 + 1 + 2*y).\nAnswer: -36*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 35 + 17. Let y(w) = w**2 + 10*w - 17. Let d(l) = 3*l - 3. Let r be d(-3). What is the remainder when k is divided by y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 + 3 = -3*x, -4*x - 23 = y. Let a = 11.3 + -0.3. What is the fourth smallest value in y, 0, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4015 and 260095?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (619 + 169 - 236)*(-3*n + 2*n + 0*n)*(0 + 0 - 1).\nAnswer: 552*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8853, -15814, -22775, -29736?\n\"Answer: -6961*p - 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781865539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 6. Let z(b) = 23*b - 29. Let w(o) = -8*o + 10. Let a(p) = 8*w(p) + 3*z(p). What is -6*a(d) + 7*g(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -60*g**2 + 35*g + 70. Let p(t) = -5*t**2 + 3*t + 6. Let i(c) = 3*m(c) - 35*p(c). Let v(r) = 3*r**2. Determine v(i(l)).\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/d**(-19)*d*d**(4\/9)*d assuming d is positive.\nAnswer: d**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 35847 divided by 1707\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 + 12*x**2 + 895. Let h(t) = -14*t**3 - 34*t**2 - 2684. Determine -6*h(a) - 17*o(a).\nAnswer: -a**3 + 889","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 2. Let w(y) = -1 + 3 - 203840*y + 203843*y. Let z(u) = u**2 + 7*u + 1. Let d be z(-6). What is d*q(a) + 6*w(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce + -4?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1031, 1032, 1033, 1034, 1035?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 11*s**2 + 5*s + 4. What is the tens digit of g(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 6:59 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000179379 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by 6.\nAnswer: -158\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 545 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6*-2*-7*1\/(-126)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 20*o + (-4 - 1 + 3)*(o + o + 0*o) + (4 + 3 - 3)*(-5*o + 4*o - 3*o))*(-3 + 0 + 5).\nAnswer: -80*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 + 2.5. Which is the nearest to r? (a) 4 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by 204?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 3. Let u(l) be the first derivative of 6*l**2 - 3*l - 4. What is the remainder when u(3) is divided by c(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 - -6 - (-3296 - -3424)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**3 - m**2 - m - 1. Let x be 1\/(-3) - 2\/3. Let z be f(x). Suppose 3*h + 230 = -4*q, z*h + 285 = -2*q - 3*q. Round q to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3552 + -a7a?\nAnswer: -42cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f**2 - 30*f - 20. Let r(w) = 2*w - 1. Let x(g) = 2*i(g) + 30*r(g). Differentiate x(m) wrt m.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 37*x**2 - 7*x - 30. Let i be a(-30). Suppose 0 = 56*t - 44*t - i. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 28 = 4*q, 1030*q - 1033*q + 37 = s. Solve -5*g + 10 = 0, q*u - 2*g = 12*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*w + 40, 6*w - 4*w = 5*o - 30. Let v(q) = -q**2 - 7*q - 4. What is the lowest common multiple of v(w) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -12*h**3 + 3*h**2 + 26*h**3 - h**2 - 15*h**3 + 11*h + 8 + 0. Give g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.19256711 rounded to 3 dps?\nAnswer: -1.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 20*p - 37*p. Suppose 2*l + p*z - 26 = 0, -10*l = -6*l - z - 32. Which is smaller: 0.24 or l?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 29*s - 321. Suppose -2*g - 15*o = -s*o - 234, 2*o + 498 = 4*g. What is the remainder when g is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -65. Let t(p) = -49*p**2. Let n be t(v). Let u = n + 56. Solve 2*y + u*m - 2*m = 1, -17 = -5*y + 2*m for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - g - 24. Let n(i) = -3*i. Determine n(z(y)).\nAnswer: 6*y**2 + 3*y + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 128. Calculate n(-37).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + ((-1)\/1 - 2). Let d = z - -13. Is d bigger than -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 42*h**2 + 5*h**3 - 24 + 11 - 2*h - 102*h**2 to the form g*h + l*h**2 + j*h**3 + r and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*j**3*n**3*o + j**3*n**2*o + 18*j**2*n**3 + 4*n**3*o - 36312*n**2*o wrt n?\nAnswer: 150*j**3*o + 108*j**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -15. Let k be ((-8)\/(-14))\/(2\/a). Put k, 1\/4, -2 in decreasing order.\nAnswer: k, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 8*d - 20. Suppose -a + 32 = 3*a + d*l, 5*a - 7 = 2*l. Suppose 3*z + a = 15. Sort z, 3, 6.\nAnswer: 3, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/304 and 93\/3366212.\nAnswer: 255832112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7788 + 44265752.\nAnswer: 44257964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97 and 2054?\nAnswer: 199238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96258099?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17fa + e?\nAnswer: -17ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51686, 3563, 3\/4?\nAnswer: 51686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-15\/2)*d*d*d**(-2\/23)*d assuming d is positive.\nAnswer: d**(-211\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 7*j**2 - 3*j + 4. Let r be g(3). What is the third derivative of 54*h + 49*h**r + 47*h**4 - 50*h**2 - 54*h wrt h?\nAnswer: 2304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 323230838 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -380 + 9688?\nAnswer: 9308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53538817807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1392818 and -47\/63?\nAnswer: 12535362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20, -49, -84, -125?\n\"Answer: -3*v**2 - 20*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2207496570 to the nearest integer?\nAnswer: 46984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + -109. Let s = 83 + j. Let a = s + 33.00000052. What is a rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/2, 2\/9, -5, 0.2, 0.3, -129891?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*o + 33*o - 22*o)*(1 - 2 - 1).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*g - 1339*g + 12285 = 0 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3 = 0, -3*r + 5*l + 0 + 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 55660*f**4 + 182765*f**3\/2 - 38145*f**2 + 3470*f + 20 = 0?\nAnswer: -2, -1\/184, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.94673 + -0.84673. Let l = -2.6 + 3. Which is the closest to k? (a) -6 (b) -1\/2 (c) l (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.4 from 733188.\nAnswer: 733186.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 2, -5 in descending order.\nAnswer: 2, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3715 + 2363 + 12*t - 14*t to the form g + z*t and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -4 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2145696 and -47\/310?\nAnswer: 10728480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6558*b + 1750987. What is g(267)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 752580 and 87462?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aloa when four letters picked without replacement from llalppoooalo?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/(1760\/(-2464))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:40 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 + 11b6a07b?\nAnswer: 11b6a097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-250 + 250 + 19*p**2)*(-116*p**2 + 97*p**2 - 523*p**2) to the form y*p**2 + n*p + t + u*p**3 + w*p**4 and give w.\nAnswer: -10298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 5*y + 3. Suppose 5*w - 19 = 1. Let q be s(w). What is q rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02093996 rounded to 4 decimal places?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(240)*6)*1)\/(-5*6*-2*sqrt(5)).\nAnswer: 5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 6 = n. Let x = -0.1 - -0.1. Which is the nearest to x? (a) n (b) -0.06 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 2. Let z(m) = -57*m**2 - m - 6. Give -3*d(o) - z(o).\nAnswer: 63*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -106 + 70 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31031210231102 + -2?\nAnswer: 31031210231100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, 2 = -v + 6*b - 4*b. Let t be v + -1 - (-2)\/(-10). Which is smaller: t or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or 138\/29?\nAnswer: 138\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 0)\/(-14 - -15) + -1. Solve 3*g + 4*k + 32 = 0, p*g - 4*k - 7 = 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -1. Let c = 15.2 - g. Let x be (-1)\/((-13)\/(-2) + 1). What is the second biggest value in x, c, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 1.1. Let d = s + 0.900099. What is d rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 537 by 179.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 3*u**2 + 4*u + 5. Determine o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 + 78*t + 473. Give n(18).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-367 - 1022 - 402)*(-4*a**4 + 3*a**4 + 3*a**4) to p*a**2 + i*a**4 + n*a + r + o*a**3 and give i.\nAnswer: 3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 30*w - 24 = -2*r, -4*r - 16 = 0. Let b = 5 - 3. Suppose 2*j = -b*j + 128. Calculate the greatest common factor of j and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l*l**(-4))\/l))*l)\/l*l**(1\/3))**(1\/18))**22 assuming l is positive.\nAnswer: l**(-121\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -23\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -0.5, 2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccwccwwccc. Give prob of picking 1 w and 2 c.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1579 - -1585.67. Round r to one decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 306270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 + 416. Let q = d + -160. What is the highest common divisor of q and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -3.2, -3\/26, -0.49 in decreasing order.\nAnswer: 3\/4, -3\/26, -0.49, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeheeeeheeeeeeeee?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 - -1 - (-81)\/(19116\/(-14632))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5824*y**5 - 10219*y**4 - 597204811*y.\nAnswer: -116480*y**3 - 122628*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 26331 (base 7) to base 9\nAnswer: 10570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + k - 7*k - 5*k - 1.\nAnswer: -8*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60 - -1b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m - 3. Let l be t(6). Suppose -5*w - 46 = -s, 3*w = -w - l*s - 52. Let a be 2*2\/(-10)*w. Solve -a*j + 1 + 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18525, 18399, 18209, 17955, 17637?\n\"Answer: -32*s**2 - 30*s + 18587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d. Let o(y) = 8052341*y**2. Determine i(o(q)).\nAnswer: -88575751*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1348, 2732, 4200, 5794, 7556, 9528?\n\"Answer: 7*g**3 + 1335*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4045, -4085, -4125?\n\"Answer: -40*g - 4005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3863b - -15?\nAnswer: 38654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68296.\nAnswer: 2, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let n be g(1). Suppose n = f - 20. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from xxxpppxo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 3, -19 = -3*k - 0*c + 4*c. Suppose 7*j - 10 = k*j. Suppose 5*b + j*w = -58 - 77, 4*w + 12 = -b. Find the common denominator of -16\/11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12694 is divided by 146?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 11. Let u = k - -4.5. Which is the third biggest value? (a) -2\/7 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.783 + -12.883. Which is the fourth biggest value? (a) -1 (b) h (c) 0.08 (d) 2\/23 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*k**2 - 29*c*k - 237*k**5 + 2 wrt k.\nAnswer: 4*c - 4740*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 402.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5264 + 0.5266743. Round f to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141696070147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 + 0*w**2 - 2*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -32. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 913436, 913432, 913426, 913418, 913408, 913396?\nAnswer: 913382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/78 - -463\/390. Let w = -233\/7 - -33. Let r = -3251.96 - -3252. Which is the nearest to w? (a) 2 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5 + 8, 0 = -l + 2*h + 7. Suppose q = 3*u - 36, -l*u + u + 2*q = -50. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259 and 11951.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, z: 4, u: 11}. Give prob of picking 2 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-3))\/(1\/(-3)). Let v be 3\/12 + 135\/(-12). Let d = v + 12. Solve d = -3*f + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*a + 5780 - 2302 = -4365 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 2*j + 123 = 0, -4*j + j = -0*j + 2*j + 182 - 52 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 2. Determine x(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1*6) + 1. Let z(o) = -o - 3. What is z(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 + 22 = 0. Suppose -o*m + 4*m = 0. Solve m = -2*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/7 and (-39)\/26 - (-645)\/246?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -43, 0.1, 2, -8, 36, -0.5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2 + 2*a. Let h = 40 - 41. Let w(k) = -k**2 + k. Calculate h*z(p) + 3*w(p).\nAnswer: 4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**4 - 2*z**2 + 6 + z**4 + 9*z + z**3 + 0*z - 7*z to o + v*z + i*z**3 + j*z**4 + b*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -8*k + 252. Let n be -96*2*1\/(-4). Find the common denominator of 25\/11 and 0 - -6*k\/n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 14*s**2 - 3*s - 44. What is the remainder when t(-15) is divided by 62?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315 and 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310455 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -1aaa?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 40. Let k(o) = 2*o - 7. Let r(i) = 6*i - 20. Determine g*k(m) - 3*r(m).\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h**(-6\/19)*h)\/h))**(-9\/5)\/((h*h**(-6\/13))\/h*h**(-10)))**(-32) assuming h is positive.\nAnswer: h**(-177568\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 6:34 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 p when four letters picked without replacement from {p: 15, d: 3}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 22415.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*g**2 + 2 - 38*g**2 + 2*g - 6*g as i + u*g + z*g**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92737 = -96*n - 91585 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(847) - (sqrt(847) + 2))*-6 + sqrt(847) + sqrt(847) - sqrt(847)) + -5)**2.\nAnswer: 110*sqrt(7) + 872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -87*b**2 - 1124*b + 4288. Determine l(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 69*s + 164. Determine m(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -0.4, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 + h + 1. Let r(v) = -23*v**3 + 5*v**2 + 8*v + 9. Let o(s) = r(s) - 6*w(s). Suppose 4*c - 6 = 7*c. Is o(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 7)\/(-20) - (-14)\/40. Is s at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 11 + 2*d + 57 to the form s*d + p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + -19 + 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244264491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2023, 1159, 297, -563?\n\"Answer: p**2 - 867*p + 2889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**2 + 1\/4*r**4 + 0 + 0*r + 0*r**3. Let i(b) be the first derivative of -b**2 + 88706. Give i(k(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + t + 3*t + (2*t - 1 + 1)*(0 + 0 + 2) + 45 - 45 - 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*r - 7*r - 441 = -88*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 - 1130*g**3 + 5142*g**2 - 6880*g + 2296 = 0.\nAnswer: -287, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 13 + 25 + (1 - 2 + 0)*(4 + 1 - 6) + 1 + 3 - 3 + 4 + 3 - 4)*(n + 3*n**2 - n) + 4*n**2 + n**2 - 4*n**2 to the form z + m*n + v*n**2 and give v.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4687 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 1. Let f = -0.407 - x. Round f to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2078.838 litres to millilitres.\nAnswer: 2078838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*l + 34 - 26 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, l: 1}. Give prob of picking 4 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*t = -93*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-26)*165\/(-33).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1773726*u + 1912796 wrt u?\nAnswer: -1773726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2056, 12, -4 in descending order.\nAnswer: 2056, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, u: 1, l: 4}. What is prob of sequence lus?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680 and 22535608?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, c: 5, w: 1, x: 1}. What is prob of sequence lll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40595486*l - 24*l**2 - 40595486*l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202302 + -37493703.\nAnswer: -37291401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9.51 and 0.049.\nAnswer: 9.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/24)\/(19\/(-8) + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.616 minutes in seconds?\nAnswer: 16956.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -46362 - 4?\nAnswer: -46366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 216 = 5*n. Let z = -4 + n. Suppose -4*y + z = 5*i - 2*y, 0 = -5*y + 25. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**6\/720 + s**5\/8 + 7*s**4\/4 + 36*s**2. Let u(t) be the second derivative of w(t). Give u(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*c - 73 - 70, -5*c - q + 147 = 0. What is c rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2127501702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68681 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 145, 138, 121, 88, 33?\n\"Answer: -w**3 + w**2 - 3*w + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 21 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 447 divide 1269836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 3*w**2 - 2*w - 5. Let c be a(4). Suppose -5*g = -c*g - 16. Let r be 4 - (-6 - -14)*(-5)\/(-20). What is the greatest common factor of g and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-6)\/s)\/s)\/s**(-6))\/(s**(1\/2)\/(((s\/(s\/(s\/(s\/(s\/(s\/(s*s*s**(-2\/13)))*s*s)))))\/s)\/s)) assuming s is positive.\nAnswer: s**(-17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 1194*r**3 + 20.\nAnswer: 1194*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32741*i**6 + 4*i**2 + 1440*i?\nAnswer: 3928920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 160070102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*((-10626)\/(-345))\/(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1518*a**2 - 429*a - 3. Let o(k) = 15*k**2. Give z(o(x)).\nAnswer: 341550*x**4 - 6435*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.500389 (c) -5 (d) -2\/37 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135 and 165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 2579, -31, -5, 5, -3.\nAnswer: -31, -5, -4, -3, 5, 6, 2579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 438 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + -156. Let k = 198 + d. Solve 2*b - k = -2*h, -b = h + b - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 20. Which is smaller: -2\/43 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7d919 (base 15) to base 11\nAnswer: -253829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55 (b) 0.0283 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d - 34. Let r(c) = c + 11. Let a(i) = -6*k(i) - 17*r(i). Let o(s) be the first derivative of s**2\/2 + 13661. Determine a(o(p)).\nAnswer: p + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) - (sqrt(95) + sqrt(95)*-2*5 + sqrt(95))))\/(sqrt(10)\/sqrt(2)*5) - (5 + -5*(-4 + sqrt(19) + 3)).\nAnswer: -10 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.37977429937.\nAnswer: 0.67977429937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 227, 347, 471, 599?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*sqrt(200))*-3 - (5 + sqrt(200)*2 - -3*-1*sqrt(200)).\nAnswer: -11 + 130*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 144*f - 3580 = 7*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44194 + 92653. What are the prime factors of y?\nAnswer: 3, 29, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 270 = 19*z + 26*z. Let r be -6 - (-3 - (0 + 1)). Sort z, 52, r, 3 in ascending order.\nAnswer: z, r, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = 2*j + 5*m - 2*m, 5*j - m - 1251 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 - -90. Let x(j) = 5*j - 4. Let s(t) = -4*t + 3. Let u(w) = h*x(w) + 4*s(w). Let c(f) = -4*f + 1. What is c(l) - 5*u(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 11*d + d)*(-93*d**2 + 49*d**2 + 45*d**2 - 8*d).\nAnswer: 14*d**3 - 112*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 3*a + 54. Let n(b) = 3*b + 8 - 6 + 0 + a. Let f be n(-5). Which is greater: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 36\/13, 1?\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 4:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**7\/70 + 47*r**6\/40 - 251*r**5\/20 + 205*r**4\/8 - 4*r**2 + 79*r + 6. What is g in q(g) = 0?\nAnswer: 0, 1, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125511000 to the nearest 1000000.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -147519*l + 147530*l - 30096. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*k - 166 = 873*k - 4*z, 5*k = 5*z + 130 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030247 minus 5?\nAnswer: -5.030247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/28 + 32\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 27*y + 140. Calculate r(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016636 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: Which is the third biggest value? (a) -4 (b) 0.6 (c) -34499 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.065+0.36553\nAnswer: 0.30053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -8576?\nAnswer: -8576.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 82*h**2 - 1094*h + 8. Give d(16).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251*-0.0515.\nAnswer: -12.9265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1018562?\nAnswer: 2, 509281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((4962\/(-32253))\/((-2)\/(-1326)*3))\/(2*-3)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**2 + 670*l - 1336. Give i(2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g - 41 - 2*g**3 + 41.\nAnswer: -2*g**3 + 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 30*g + 153\/5.\nAnswer: -3*(g - 51)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1 + -7 + 50. Let o = a + -25. What is the tens digit of (-482)\/(-12) - o\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.659065ng to tonnes.\nAnswer: 0.000000000000008659065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 5}. Give prob of sequence edde.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/1 + 1 + -1. Find the common denominator of 2\/(-12)*146\/j and (1 - 143)*69\/1104.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/((b\/(b**(-4\/5)\/b))\/b))**(5\/11)*(b*b**(4\/3))\/b**15 assuming b is positive.\nAnswer: b**(-415\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 137*r**3 + 13*r**2 + 9*r - 11. Let a(n) = 68*n**3 + 6*n**2 + 4*n - 5. Determine -13*a(o) + 6*v(o).\nAnswer: -62*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + c + 505 = 0. Calculate the remainder when c is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*f*k*x + 5*f*k - 65*f*x + f + 32*k*x - k + 175*x - 417 wrt f.\nAnswer: -59*k*x + 5*k - 65*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 * -17.8.\nAnswer: 51.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-15 + 16 - (2 + -4 - -4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162) - (sqrt(162) + -1 + 1)) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -74566580 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 1, v: 3, d: 1, c: 4, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 47. Let s = 33 + -30. Suppose p = s*i + 11. Solve -2*u + 9 = -i*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -27 (c) -48 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 17088?\nAnswer: 17086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 9 = r. What are the prime factors of (-2)\/r - (-1284)\/60?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1519, 1482, 1365, 1126, 723, 114, -743?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 28 + 61)*(3 - 3 - p) + 2*p - 4*p + p.\nAnswer: -77*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 5*i**2 - 3*i**2 - 3*i)*(2 + 1 - 5)*(1845*i + 1954*i - 3*i).\nAnswer: -15184*i**3 + 7592*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -616 (c) 0.1 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1 + (67 - 0). Suppose n + 36 = 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7683 + 9987. What are the prime factors of w?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -6 (c) -171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -21*r - 669. Let s be k(-32). Let m(l) = -4*l**2 + 9*l + 4. Determine m(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 4*b + 8, 3*b + 6 = -2*o. Solve -i + 1 - 4 = o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-1 + (-57)\/(-54)). Calculate the common denominator of 3003\/(-270) + (-2)\/(-9) and (-4)\/(-18) + 497\/c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 5*r**2 + 2*r + 1. Let t be m(-6). Suppose 0 = -5*c - 0 + t. Let f(b) = -b**3 + 6*b**2 - 5*b. Let q be f(5). Solve -2*n + c*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0)**(-21\/4)\/((c**3\/c)\/c*c*c\/(c\/((c\/((c\/(c**(-2\/7)\/c*c))\/c))\/c)*c)) assuming c is positive.\nAnswer: c**(-167\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6637550 rounded to the nearest ten thousand?\nAnswer: 6640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = g + 705 - 669, 0 = -5*f - 4*g - 44. Let 23\/9*s + 1\/9*s**f + 25\/9*s**3 + 47\/9*s**2 + 0 = 0. Calculate s.\nAnswer: -23, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) 3091\/10 (d) 0.05 (e) 7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 19140 = -18980 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 9*j**3\/4 - 375*j**2\/2 + 15147*j\/4 + 5217\/2 = 0.\nAnswer: -2\/3, 37, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**7\/280 - v**6\/40 - 3*v**5\/40 - v**4\/8 - v**3 + 3. Let q(w) be the third derivative of n(w). Find a, given that q(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(3*f - 2*f - 2*f) - 3*f + f + 3*f + 8*f + 13*f - 6*f + f to n + y*f and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**3 + 13*n**2 + n. Let f = -18 - -21. Let y(o) = 5*o**3 - 7*o**2 - o. Let u(l) = f*q(l) + 5*y(l). Solve u(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 - 0.2. Let m = h + -0.58. Let f = 653 - 654. What is the fourth biggest value in f, -3\/4, m, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + -2 + (sqrt(704) - (sqrt(704) + -5)) + sqrt(704))**2*1.\nAnswer: 512*sqrt(11) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*w - 31*w - 866 + 44138 = -576 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333200 and 420?\nAnswer: 999600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.9, -1\/6, 3\/8, 0.144, -2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164646 and 474.\nAnswer: 13007034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89755376 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -29) + (15 - 18 - -3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330898302 and 918.\nAnswer: 992694906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 15 = -19*r. Suppose -r*y = 59 - 20. Let c = 19 + y. Calculate the lowest common multiple of 2 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/((-6)\/(-1360)). Let r = c + -194. Calculate the greatest common factor of 26 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 2*p**2 - 17 + 0*p - 4\/3*p**3. Find the second derivative of y(i) wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/49? (a) 2 (b) 0.08 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/((-1)\/6). Suppose -o*w = w. Let d = 4 - w. Calculate the highest common factor of 16 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 - -0.08. Let o = -0.799988 - q. Round o to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -0.4 (c) -153\/11 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 51. Let j be 3 + 4\/a*0. Solve 5*m - 4*l = 2*m - j, -4*l + 1 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 29, 17.578, 0.5.\nAnswer: -2, 0, 0.5, 17.578, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 200444754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, z: 1, n: 11}. What is prob of picking 4 n?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 15. Let x be -1 + 16\/(k - -5) - -2. Suppose 0*z + z = 0. Solve x = -z*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 3*x - j, 0*x = x - 4*j - 94. Suppose -7*n = 27 - x. Let a(b) = -b**2 + 7*b + 17. Let t be a(n). Put t, -3, -5 in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -582818\/7 or -83260?\nAnswer: -582818\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 958*a + 328*a - 202*a + 1517*a.\nAnswer: 2601*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) 2.14 (c) -76 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1235361 to the nearest integer?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2588 by -6.\nAnswer: 1294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229572 and 371688?\nAnswer: 7805448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 11*s = -156. List the prime factors of 4\/(-5)*(-9030)\/s.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) -30569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (333 - 336) + -1 + 12 + 1 + -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 790\/17*m - 396\/17 - 392\/17*m**2 - 2\/17*m**3.\nAnswer: -2*(m - 1)**2*(m + 198)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 - 7*i**4\/24 + i**3\/6 + i**2. Calculate w(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*u + 5*o, -6*u + u + o - 48 = 0. Is ((-212)\/(-6))\/((-6)\/u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((2 - 0)\/2). Let x be (-6)\/9*(3 - 12) - -9. Solve -o = -5*w + x, -3*w + r = 3*o + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 - 42*w**2 - 46*w + 46*w.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3721)\/488)\/(1260\/1080*(-15)\/(-28)).\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**3 - 3. Let y(t) be the third derivative of -227*t**2 + 0*t**3 + 1\/6*t**5 + 0*t + 0*t**4 + 0. Give l(y(g)).\nAnswer: -300*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 667 and 36917?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-2)*v))\/v)**(18\/7)*v**(2\/7)*v\/v**(-8))**31 assuming v is positive.\nAnswer: v**(2573\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45264928481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-828)\/30)\/(-2 - 1008\/(-510)). Calculate the highest common divisor of h and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 23 = -5*k. Let g be (k - (-9 + 3)) + -3. Suppose -5*c = -g*c - 280. What is the greatest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 10 = 2*w. Let f(q) = 4*q**3 - w*q**2 + 5*q - 2 - 7 - 5*q**3 - q**2. List the prime factors of f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 10 + 0*l + 0*l. Determine z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {l: 3, u: 4, j: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-9 - ((0 + -4 - -7) + -4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 3, f: 1}. Give prob of picking 1 b and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + (-11 + 89 - 63)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llyyylulyqunydld. Give prob of sequence uq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 (base 14) in base 6?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 152 = 9*u. Let p be 19\/u - 14\/(-8). Suppose -q - p*q = -75. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -0.06.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/3)\/(1 - (-35)\/(-42)). Suppose 18*h - t*h = 4*i - 2282, -2297 = -4*i - h. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*y + 10290, 1174*y - 1176*y = -v + 10281. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3591 + 3609. Calculate the lowest common multiple of p and 1874.\nAnswer: 16866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 850*k - 34188.\nAnswer: 2*(k - 462)*(k + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/10, -4\/3, 317, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 288 times 906.8\nAnswer: 261158.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 3. Let c be r(2). Let a = 247 - 2702\/11. Let b = -91\/99 + a. Which is bigger: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -68, -96, -124?\n\"Answer: -28*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cann when four letters picked without replacement from {a: 2, n: 4, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/450 - 12232\/1100.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1412 and 107\/213918.\nAnswer: 427836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let j = 14 + -18. Let p = j - -8. Suppose -c = -p*c. What is u(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2, -407?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 311 - 628 + 521 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(2\/11)\/n)\/n)\/n**1)\/(n**(-1\/7)\/((n**(-6)\/n)\/n)))\/((n**(5\/4)\/(n**7\/n))\/((n\/n**(-2))\/n)**(-13\/2)) assuming n is positive.\nAnswer: n**(-5829\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o. Let n(x) be the second derivative of 4*x**3\/3 + 12*x. Give l(n(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-41))\/i**(-4))**(-2\/141))**7 assuming i is positive.\nAnswer: i**(490\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 152 in -0.016, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9347, 9348, 9349?\n\"Answer: v + 9346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -119*n - 2. Let o be x(-2). Let g = 3 - -106. Let y = o - g. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, v: 8, j: 8}. What is prob of sequence jvj?\nAnswer: 56\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/20? (a) 0 (b) -7 (c) 402.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ududncnuuuucuua. What is prob of picking 1 a and 2 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2 - 51*y - 34. Let r(a) = -a**2 - 10*a - 7. Let f(z) = 2*j(z) - 11*r(z). Let b(c) = -12 + 16 + 9*c + 6*c - 4*c. Let q be b(-1). Determine f(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n - 0. Let y(i) = -17*i**3 + i**2 - i - 1. What are the prime factors of y(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -325*l + 332*l - 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -642364816437 - -4.4?\nAnswer: -642364816432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6967.194 kilometers to centimeters.\nAnswer: 696719400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700144 + 2403645 = 9*q - 911512. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51194 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32640.9 millennia to decades.\nAnswer: 3264090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -23\/5, -1, -0.3?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 44 = -4*k + 80, -5*y - 2*k = -155. Let o(r) = -r**2 + 0*r + y + 5*r - 23. Give o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8308 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (115 - 126 - (5 - 3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 377*k**2 + 391*k - 4920. Calculate y(378).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ab1 - -1390?\nAnswer: -2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3? (a) -2\/41 (b) -29 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -503 - -2028. What are the prime factors of v?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536865*c + 268440*c + 268440*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(182\/104).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -11 + 0*y**3 - 2\/21*y**7 + 2*y + 0*y**6 + 4\/5*y**5 + 0*y**2 + 0*y**4. Determine l so that b(l) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**2\/7 - 24373065*q\/7 - 24373068\/7 = 0.\nAnswer: -1, 8124356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*q**3 - 25 + 25)*(-2 - q + 2 + (3 + 0 - 5)*(-2*q + 2*q - q))*(-3 + 3 + 4).\nAnswer: -124*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -1, -5 in ascending order.\nAnswer: -5, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(539) - (1 + sqrt(99)).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82472054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*b - q + 12 = 70*b, -2*q + 28 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 3*a + 0*a)*(-5 + 5 - a) - 7 + 7 + 9*a**2 + (-4 + 2*a**2 + 4)*(-1 + 1 + 2) - 3*a**2 + a**2 + a**2 to the form y*a + g + z*a**2 and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7298.016 - -7375.01513. Let n = o - 77. What is n rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1303 divided by -1\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2. Let n(b) be the first derivative of 0*b**3 - 1\/24*b**4 + 46 + 0*b + 7\/2*b**2. Let v(f) be the second derivative of n(f). What is p(v(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.493 - -0.093. Which is the closest to 3\/2? (a) r (b) 0.1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + p + 1. Let f be (-1)\/3 - (-110)\/15. Suppose -f*h + 15 = -4*h. Let u be (-5 + h)\/(4\/(-2)). Determine d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37281, 37168, 37055, 36942?\n\"Answer: -113*w + 37394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let f(j) = 4*j - 1. Let s(b) = b + 1. Let w be s(1). Let m be f(w). Let g(i) = i + m*i**2 - 13*i**2 - i. Give k(g(l)).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 90188?\nAnswer: 450940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/16 + 2\/(-8). Solve -5*q = -q + 12, 3*d - 5*q - 12 = y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -3*j**2 + 6*j + 1260. Let u(r) = -2*r**2. Give u(s(c)).\nAnswer: -72*c**2 + 144*c - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -43, -7, 1\/7, -2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v = -3*p + 25*v + 8698, 4*p - 5*v - 11596 = 0. Is p a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-320)\/(-105))\/(-16)*6\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/45)\/((-48)\/12120*2) - -9?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 1\/140?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:48 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 + 335. Solve l = 3*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - u. Let o be d(1). Solve 2*r + 11 = -o*c - 16, -r - 2*c = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -323624.\nAnswer: -65\/323624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9000 or 8999?\nAnswer: 9000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from obeeoeejeeouubeuou.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40803.\nAnswer: 3, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0445 - -85.2945. Let d = j + -86. Round d to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -1\/6*n**3 - 3*n**2 - 2 - 4*n. Let o be y(26). Is -29 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -63, -122, -215, -354, -551, -818, -1167?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-15 - -16) - 22 - -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:50 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnt when three letters picked without replacement from lttlrrrlnrlrgrln?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.26300189 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v - 3. Suppose 38*p + 252 = -25*p. Determine i(p).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -6654aa5?\nAnswer: -6654aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - 4)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -42*h**2 + 4*h - 5. Let y(r) = -21*r**2 + 2*r - 3. What is 4*a(v) - 7*y(v)?\nAnswer: -21*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phbhppppbpp. Give prob of picking 1 h and 2 p.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 10. Let j(r) = -r - 5. Let o(q) = -5*j(q) + 2*v(q). Suppose 56 = 15*y - 4. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from biidtbbbtqdbtb. What is prob of picking 2 t?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/120 and -149\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 5 + 13 - 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 - -4) - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2606, 6524, 10442?\n\"Answer: 3918*p - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088969?\nAnswer: 7, 17, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -5\/3*l**3 + l**2 + l + 0 + 2\/3*l**4. Solve c(u) = 0 for u.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10379616 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -1. Solve -v*j = -j + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1008) + 0 + -3)*-2)**2 - (1 + -6*(sqrt(1008) + -1) + -4).\nAnswer: -10296*sqrt(7) + 146445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/12)\/((-66)\/(-8)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Let c(i) = 0*i**2 - i**j - i**2. Let d(g) = -g - 3*g - 52 - 6*g + 52. Determine c(d(w)).\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:42 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from {d: 3, p: 2, q: 9, e: 3}.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - c7a5?\nAnswer: -c7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -203686 from -47.74.\nAnswer: 203638.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24226, -6.\nAnswer: -24226, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 169 and 70135?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.1, 7, -2\/11, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 2*v**2 + 4*v**2 + (6 - 3 - 2)*(-2*v**2 - 1 + 1) + (-2*v + v - v)*(0*v + 0*v - 3*v) + 2*v**2 - 2 + 2 + (2 - 2*v - 2)*(3*v - 3*v + 2*v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 16*r + 54. What is i(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/3 and 93\/75730.\nAnswer: 227190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, 5, -19 in descending order.\nAnswer: 5, 0.1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 135 (c) -0.1 (d) -5 (e) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 1\/60*a**5 + 2*a**2 + 0 + 0*a**4 + 1\/40*a**6 + 0*a + 0*a**3. What is the third derivative of z(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 6)*(-121 - 11*a + 121) to the form h*a + l and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*j**3 - 12740*j - 6886221 wrt j?\nAnswer: 51*j**2 - 12740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71578368 and 396.\nAnswer: 787362048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p. Let d be t(3). Let m(h) = h**3 - 4*h**2 - h - 16. Let l be m(5). What is the second derivative of 3*c**l - 3*c + d*c - 6*c**4 wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7711*o**2 + 7229*o**2 + 7724*o**2 - 22660*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*q + 15*q + 17*q - 2*q**2 + 8*q in the form j*q**2 + n + z*q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 344?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 198 and 24612?\nAnswer: 812196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3565 (base 9) to base 12\nAnswer: -164b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(14\/(-4)) - -2*1. Sort -1, i, 1 in descending order.\nAnswer: 1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*a + 9. Let z be (-18 + 19)*(a - -1). Solve z = 3*v - 9, 2*n + 2*n + 4*v - 20 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - 4*z**3)*(-2*z + 1 - 1) - 2*z**4 + 6*z**4 + 2*z**4 + 0*z + z**4 + 0*z + (2*z**4 + 0*z**4 - 3*z**4)*(2 - 1 - 3).\nAnswer: 13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73310 at least 73310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29794676.\nAnswer: 2, 17, 83, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134553 is divided by 33624.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 - -286. Let j = -428 + v. Let r = 0.01 + 3.99. Sort r, 3\/4, j in ascending order.\nAnswer: j, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let h(v) = -3*v**2. Let f(y) = b(y) + h(y). Let j(z) = -z + 2*z + 0*z. Calculate f(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6537088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 13134*g**4.\nAnswer: g**4*(g - 13134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 2*h**2 + h + 2. Let v be w(-2). Suppose v = 2*b + r + 11, b + 3*r = 5*b - 3. Let l(x) = 2*x**2 + 3*x + 3. Is 3 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnwnnnnnnnnn?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 - 1011*v**3 - 9*v**2 + 3039*v - 2022 = 0. What is v?\nAnswer: -2, 1, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 9*n - 8. Let d be f(-8). Suppose j + 3*c - 358 = d, -6*j - 4*c = -11*j + 1885. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 5:27 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 9*l - 16. Let d be z(6). Let v(u) = -u**3 + 5*u**2 - 5*u + 5. What is v(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 7*k**2 - 14*k - 1. Let f(y) = -3*y**3 - 6*y**2 + 13*y + 1. What is 5*a(m) + 6*f(m)?\nAnswer: -3*m**3 - m**2 + 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 672 = 67*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -63*n + 768 + 181. Calculate the least common multiple of n and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 35*s - 38*s + 153394, 0 = 2*s + 3*c - 102223. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.85 + -4.85. What is the nearest to 1\/3 in w, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.299712249 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187)*-2)\/sqrt(11))**2 + 4 + sqrt(68) - (1 + sqrt(17) + 0 - (sqrt(68) + 2))**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*l**2*r - 4*l**2*x - 4*l*x - 2*r*x wrt r?\nAnswer: -47*l**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118 or 28326\/241?\nAnswer: 28326\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144360 and 135?\nAnswer: 433080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -0.0142?\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133430388*i**6 - 122*i**2 - 2*i - 40160?\nAnswer: -16011646560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 23*s**2 - 4*s + 1. Let p(f) = -22*f**2 + 5*f - 1. Let o(q) = 4*c(q) + 3*p(q). Let u be o(2). Let x = u - 73. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t**2 + t - 2. Let o(w) = -21*w**3 - 2*w**2 + 4*w - 1. Let h be o(1). Let b = h + 21. Determine s(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24339 and 0.278421.\nAnswer: -24338.721579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130 and 3980.\nAnswer: 51740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(39) + sqrt(624)) + sqrt(468)\/(sqrt(60)\/sqrt(5)))\/((sqrt(48)\/sqrt(72))\/sqrt(2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30 - 25 - 125*1. Let t = n - -114. Let c(k) = k**2 + 4*k - 8. What is c(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/3 + 2\/(-3). Let g be m*(-1 - (-3 + 1)). Solve -b - 2 = -4*p, -2*b - g = -p + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662690393 a multiple of 1559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20.3 + 12.4. Let x = -8 - t. Let h = 0.98 + 0.02. What is the nearest to h in x, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -992089 or -991898?\nAnswer: -992089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6382121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -1 + 18 + 3 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2724*f**3*q**3 + 3*f*q**3 - 28*f*q + 2*q**3 - 27*q - 2 wrt f.\nAnswer: 16344*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*c - 41, 3*c + 4*l = -l + 37. Suppose -42 = -3*d + 2*y, -2*d + 0*d + 28 = -4*y. Let r = c + d. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -285754.\nAnswer: 7429604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 2 - 1399546*m**2.\nAnswer: -1399546*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/5, 0.1, -3, -1\/6, -33\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 37674.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f + 44*f - 17 = i, -1 = -7*i + 5*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:44 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 480\/50)\/((-2)\/730). Let s be -222 + y + 2\/(2\/15). Solve -5*r = -8*r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a centimeter in micrometers?\nAnswer: 63750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-430) - (-617343)\/(-29684835).\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164842.037 - 164912. Let r = -70 - a. Let j = -0.307 - r. Round j to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7 + 0 = l, 2*l - 8 = -5*y. Let c = 1 + 9. Solve -y*g - c = -4*k + 3*g, 5*g = -5*k + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63242769, -63242776, -63242779, -63242772, -63242749, -63242704, -63242631?\nAnswer: -63242524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 17*y + 25*y. Let x(l) = 6*l - 1. Let g be x(1). Solve u + 4 = -4*b + 7, y = 5*u + g*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -514 - -557 - (-14 + (-2 - -4) + -1 + 2)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.00072 - 14. Round z to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8231 - 2550. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44544 and 11832?\nAnswer: 757248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6471a (base 14) to base 15.\nAnswer: -4be63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*q - 2*q + 16*q - 29*q to the form a*q + p and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -133, -135?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17957, 17950, 17943, 17936?\n\"Answer: -7*p + 17964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 16. List the prime factors of z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9612*o + 4745*o + 15209*o - 5310*o + (2*o + o - 2*o)*(2 - 1 + 1) + 0*o - 4*o + 3*o + 2 + 0*o + 0*o - o.\nAnswer: 24256*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 9 - 44. Let z(h) be the third derivative of -1\/1680*h**8 + 0*h + 0 + 1\/600*h**6 + 0*h**4 + 0*h**3 + 0*h**5 + 0*h**q - h**2. Factor z(b).\nAnswer: -b**3*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/56 and 21\/272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60560\/(-11355))\/(70\/(-9)))\/((-1)\/((-7)\/(-2)))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from qoeqemuoeumeqeeo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.537743 to two decimal places.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27166, 19554, 11942, 4330?\nAnswer: -3282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2080645 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -770234584.0001 - -770137061. Let j = f - -97535. Let t = -12 + j. Round t to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*3\/1. Suppose 0 = -69*f + 72*f + 9. Let d(t) = 2*t**2 + t - 1. Let r(i) = i**3 - 2*i**2 - 2*i + 1. Let x(z) = f*d(z) - 2*r(z). Calculate x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -21. Let z(m) = -2*m**2 + 10*m + 21. Let a be z(6). Suppose -5*q + a + 36 = 0. What is the least common multiple of q and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3474*y**6 + 400*y**2 - y wrt y?\nAnswer: 416880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 3:05 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 424*a**3 - a**2 - a. Let m be c(-1). Let o = 641 + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 56869483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2237926, 4475811, 6713696, 8951581, 11189466?\n\"Answer: 2237885*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 311\/5. Which is the fourth biggest value? (a) h (b) 2\/7 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*1*(-27300)\/277550?\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (-13 + 17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*h - 39, -35884*h = b - 35888*h + 28 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -140059 divided by 227?\nAnswer: -617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/132 + 8\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/32 + 3*n**4\/32 - n**3\/8 - n**2\/2 - 3*n - 1246. Suppose w(f) = 0. Calculate f.\nAnswer: -2, -4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (7 + -28)) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(176)*-1)\/(sqrt(1728)*-2 + sqrt(108) + sqrt(108)*1 + sqrt(108)).\nAnswer: sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 88. Suppose 6*m = 2*z + m + 20, 0 = z - 4*m + 16. Sort -3, z, h in ascending order.\nAnswer: -3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + a**3 - a**3)*(a**2 + 0 + 0) + 2*a**5 + 1 - 1 - 4*a**5 + a**5 + 2*a**5 + (-2*a - 4*a + 5*a)*(0*a**4 - a**4 + 3*a**4) + 21*a**5 - 5*a**3 + 5*a**3.\nAnswer: 21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7160 + 536 = -34*g - 38*g for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.054 times 3\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - 9 - (-10 - 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - j - 6*j)*(-2*j + 4*j**2 + 2*j) + (-4*j**2 + 2*j**2 + 0*j**2)*(2 - 2 - 4*j) - 5*j + 5*j - 2*j**3 in the form p + z*j**2 + q*j + i*j**3 and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 49 = 23. Let r = m - 24. Suppose 3*f - r*k - 92 = 121, -2*f = 5*k - 123. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -59. Solve x = -4*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22422044303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106532 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 134 = j - 93, -3*u + 74 - 243 = -j for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.082 or -17710?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from wwywyoyywor?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6549*c**6*k**2 - c**6 - c**2*k - 7*c*k + 148*k**2 wrt c.\nAnswer: 785880*c**3*k**2 - 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 88820 + 3\nAnswer: 88823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 27 = -6*s. Suppose 0*z = s*z - 210. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**2 + 47*k**2 - 18*k**2 - 12*k**2 to m*k**2 + g*k + j and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -431318 (b) 39 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 527355, -2, -6 in decreasing order.\nAnswer: 527355, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1324001204?\nAnswer: 1324001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/6))\/d**(1\/16))\/(d\/(d\/(d*d*d\/(d*d*d**(-5\/3)*d)*d))*d*d**6) assuming d is positive.\nAnswer: d**(-121\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8801*o**2 + 2932*o**2 + 2931*o**2 + 2910*o**2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/3 (b) -3 (c) 0.4 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - (-382)\/(-8). Let i = -24 - g. Let y(a) = 7*a**2 + 1. Let k be y(-1). What is the highest common divisor of k and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 2*l**5 - 3*l**3 + (-l**3 - l + l)*(2*l**2 + l**2 - 4*l**2) + l**4 - l**5 - l**4 + (3 + l**5 - 3)*(-4 + 2 + 4) - 3*l**5 - 2*l**5 + 2*l**5.\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*d + 1216609 + 103401, -2*v - 4 = 0. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1667\/(-83350) - (-799)\/(-50))\/(0 + -14).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(-4*3\/(-36))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13\/2 - 9. Calculate the common denominator of 52\/7 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 341*f**3\/6 - 19*f**2\/2 + 3*f - 5. Is v(1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 8*y**2 - 7*y + 4. Calculate the smallest common multiple of 28 and x(9).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47330.\nAnswer: 2, 5, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -3\/5*i**5 + 0*i + 3*i**4 + 3*i**2 - 5*i**3 + 14. Find y, given that o(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*-8.1\nAnswer: 194.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -110433023?\nAnswer: -110433011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 3*i. Let s(v) = -v. Let j(t) = -2*o(t) + 6*s(t). Let x(f) = f**2 - 76*f + 39*f + 37*f. Give j(x(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -47. Suppose 16*w - 6 = d*w. Let h(z) = 135 - 135 - w*z**2. Let k(a) = -12*a. Give k(h(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 3. Let h be m(2). Let y = h - -19. Which is the biggest value? (a) 3 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 18, 29, 32, 21, -10, -67?\n\"Answer: -i**3 + 5*i**2 + 5*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -16*x - 462. What is the smallest common multiple of 51 and j(-31)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 516*k - 2651. What are the prime factors of d(30)?\nAnswer: 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 4*p - 20, -56220 = -3*s - 3*p. Suppose 24*m = 9*m + s. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 3, y: 2, j: 7, r: 3, g: 3}. Give prob of sequence xjy.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368\/15 - -122\/5. Let k(o) = 3*o**3 + 3*o - 2. Let h be k(1). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 11323*u\/2 - 128210329\/4.\nAnswer: -(u - 11323)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -12*p**3 - 2980*p**2 + 8044*p + 3012 = 0.\nAnswer: -251, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14475365 + -14475948.99629. Let y = 584 + i. What is y rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4129 + 39078 + 10887 = 3182*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 45. Let f be j(12). Let k be (-3)\/((-3)\/3) + f + 401. Find the third derivative of 187*h**3 + 186*h**3 + 43*h**2 - k*h**3 wrt h.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 32 = -5*l, l - 6*l = -2*j - 14. Is 4 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227103 times 27?\nAnswer: 60131781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 141 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93577*y**2 + 76*y**3 + 89093*y**2 - 182670*y**2.\nAnswer: 76*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8956 is divided by 4430.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80313?\nAnswer: 3, 19, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78941 - -6?\nAnswer: 78947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**5 + 1090*h**4 - 1080*h**3 - 1090*h**2 + 1085*h = 0.\nAnswer: -1, 0, 1, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**7\/1365 - o**6\/195 + 11*o**5\/195 + o**4\/39 - 7*o**3\/13 - 3*o**2 - 11*o. Find i such that f(i) = 0.\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -367?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 9, p: 5}. What is prob of picking 2 q and 2 r?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 9 = -15*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101331916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-31)*s*s**(3\/41)\/s*s*(s**(3\/40)\/s)\/(s*s\/s**35) assuming s is positive.\nAnswer: s**(3523\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 44552284.95 to the nearest 10000.\nAnswer: 44550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/((-612)\/8262).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*y - 1)*(2 + 1 - 1).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 7*o - 6. Solve -2*a - 14 = 4*d, o*a + 15 = -3*d + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7432712 is divided by 206463.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = 0, 3*x - 90 = 5*m. Calculate the remainder when x is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**5\/60 + 11*n**4\/24 + n**3\/3 - 16*n**2. Let i = 89 - 79. Calculate u(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 2028*o**2 + 4047*o + 2022.\nAnswer: 3*(o + 1)**2*(o + 674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 + 3 - o**3 - 3 + (-45*o**2 + 17*o**2 - 42*o**2)*(2 + o - 2) in the form z + u*o + j*o**3 + a*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 172.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(405) - sqrt(405) - sqrt(405)*-2*-6)*3)**2 + (1 + sqrt(405) + sqrt(405)*1 + 3 + -4)**2 + -2.\nAnswer: 2279743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1859 = 4*i - 5*k, -k = 3*i - 3*k - 1396. Suppose -448 + i = 2*p. Calculate the least common multiple of p and 60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145120516 bigger than 145120520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 918970038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:52 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*s = -84*s - 33*s + 4416 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3 - 32195*r**2 + 259980567*r - 13688683173 = 0.\nAnswer: 53, 16071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32032485 to the nearest integer?\nAnswer: 5660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*n + 91*d - 79*n wrt n.\nAnswer: d - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6108*i - 3084544. Calculate o(-505).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7515 is divided by 854?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2. Let q(v) = -2*v - 101. Calculate q(z(y)).\nAnswer: 4*y**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -388, -385, -374, -349, -304, -233, -130?\n\"Answer: a**3 - 2*a**2 + 2*a - 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -20, -38, -72, -128?\n\"Answer: -p**3 + p**2 - 4*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 26, 38, 50, 62?\n\"Answer: 12*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 10:39 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*c - 75*c + 5 = 0. Suppose 149 = o - 0*o - 3*l, -c*o - 4*l + 650 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.5141 + 28.673. Let s = i + -0.1649. Let m = -5 + s. Round m to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6857.82 centimeters?\nAnswer: 68578200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11759 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1751)\/(11 - -6)*-1*1\/(-42) and 5\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 13*b + 2. Let t be n(11). What is the highest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22304923 and -0.4.\nAnswer: -8921969.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**3\/3 + 11*q**2\/2 - 22*q - 13. List the prime factors of u(-18).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 411*r + 65 + 59 - 426*r + 863*r.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.05 in 5, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ce06 + -581?\nAnswer: c875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -332\nAnswer: -5\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 29051.\nAnswer: 10\/1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4273698 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 16. Let z(f) = -3*f**2 + f + 3. Let l be z(i). Let g(w) = -w + 1. What is the units digit of g(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14360 and 5?\nAnswer: 14360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2717 in 34, 0.3, -0.04, -0.1, -1\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33563 or 33494?\nAnswer: 33494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -b + 4*s, 0 = -3*b + s + 6. Solve -18 = -4*t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 3. Let v(h) = -2*h - 3. Let j be (-36)\/(0 + -4)*(-2)\/(-6). What is j*i(d) - 4*v(d)?\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6948, 24414, 53524, 94278, 146676?\n\"Answer: 5822*h**2 + 1126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 - 668*k - 4606. Calculate l(-7).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 135, 191?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 3*a - 23. Let q(l) = 898*l - 13461. Let n be q(15). Calculate f(n).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 382\/7 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjjtpjjjppt. What is prob of picking 2 t, 1 j, and 1 p?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508323 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let a = d + -0.1. Let y = 1.2 - 0.2. Put 3, a, y in decreasing order.\nAnswer: 3, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8*(-4)\/(-2)*-2. Let q(r) = 5*r**2 - 3*r - 3. Let t(b) = 4*b**2 - 2*b - 2. Give l*q(h) + 3*t(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6, -5*a + 1 = f - 5. Let r be f + (-2 - (-2 - 1)). Let s be ((-1)\/(r\/15))\/1. Put 1, -1, s in descending order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4211444 (base 5) to base 7\nAnswer: 406662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6360262306 + -3?\nAnswer: 6360262303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - l**2 + l + 1. Let o(s) = -13*s**3 - 3*s**2 - 5*s - 3. Calculate the least common multiple of y(-3) and o(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 39708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 42*f**2 - 81*f + 84. Determine t(40).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -75. Let m = 40.5 + d. Let k = m + -12. What is the nearest to 2 in 3, k, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -579 - -750. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**3 + 2*r + 1. Suppose 0 = 68*c - 65*c + 3. Let h be p(c). Solve 3 = h*j + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -912 - -1839. Let u = w - 168. Suppose f = 4*t - u, 2*t + 2*t - 4*f - 744 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 6\/(-4))*(-199 + 21) is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -91. Let w = 89 - p. Which is the third smallest value? (a) 1\/2 (b) -1 (c) -2\/5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274138173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(1\/18)*g*g)\/g*g**(5\/3))\/(g**(2\/17)*g**19))**27 assuming g is positive.\nAnswer: g**(-14133\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c + 12*c + 19 = 0. Calculate the remainder when 56 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:51 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m**2 + 266*m - 8 = 0.\nAnswer: 1\/33, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -742179, 3 in ascending order.\nAnswer: -742179, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 2*g - 40. Calculate n(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*i + 1281660 = -691*i. What are the prime factors of i?\nAnswer: 2, 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-5*40\/(-50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) + 87\/(-27)*-1. Let v = 5 + -2. Let y = 2\/15 + -23\/60. Which is the nearest to v? (a) y (b) k (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252085 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/853080 and -197\/83388570?\nAnswer: 333554280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 50559940 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0, 6, 231, -2, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(72\/(-15)))\/(-1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5 - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2977 divide 672281025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.3. Let l = 9252 - 9250. What is the biggest value in f, 2\/7, 2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (3 - -8 - (-11 + 2 - -9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40619 or 40747?\nAnswer: 40747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 588293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-21)*-3*(-14)\/(-9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -6*y - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 340137 at most 340137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 3*k - 2 + 5\/2*k**2 - 1\/3*k**3. Suppose 113*p + 33*p + 155*p = 1806. Give w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79 - 121. Let l be (10\/4)\/((-7)\/u). Let w = l + -12. Which is the biggest value? (a) -5 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 242*t**2 + 2241*t + 68. Determine k(-70).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 57*c**3 + c**2 - 2*c + 1. What is j(1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h - 2. Suppose 2*i + 4*i = i. Suppose -2*l = 2*m - 6, -4*m + i*m - 28 = -h*l. Solve l*k - 5 - 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3810905.26 to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -8*m - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5 + 5 + 3*m**5 + m**4 + 5 - 1. Let o(j) be the first derivative of -5*j**6\/6 - 2*j**5\/5 - 7*j + 4. Let h(w) = 4*o(w) + 7*v(w). Factor h(x).\nAnswer: x**4*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (85\/17 + -4). Let a(o) = -o**3 + 6*o**2 - 3. Calculate a(t).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -38. Let o = q + -22. Let m = o - 24.000007. What is m rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1210273 rounded to two dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 + 0)*(1 - 1 - g) - 2 + 3*g + 2)*(-247*g**4 + 43*g**4 + 174880*g - 174882*g) + 3 - 3 + g**5.\nAnswer: 205*g**5 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 32*s**5 + 2*s**4 - 7*s - 2. Let z(o) = o**4 + o - 1. Let x(c) = q(c) - 2*z(c). What is the second derivative of x(r) wrt r?\nAnswer: 640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 58. Let a(g) be the third derivative of g**5\/60 + g**4\/3 - 4*g**3\/3 - g**2. List the prime factors of a(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.261539397607 + 0.2?\nAnswer: 0.461539397607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) 0.07 (c) 2\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012752 to 4 decimal places.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63499*d**3 - 21990*d.\nAnswer: -380994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(3\/17))**(-17) assuming i is positive.\nAnswer: i**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100512 rounded to four decimal places?\nAnswer: 0.1005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 8 - 6 + 2*u**2 to b*u**2 + w + a*u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - 0.01. Which is the nearest to -2? (a) l (b) 5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12959027 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 5*k = 80, 5*g - k + 14299 - 14275 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + -3)*(-4)\/7. Suppose -8*c + 0*c = -t*c. Suppose c = r - 0*r - 9. Calculate the smallest common multiple of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997042077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (2 - (5 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-22)\/x*x))\/x**(6\/7) assuming x is positive.\nAnswer: x**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*l**2 - 3888974*l - 596049191 wrt l?\nAnswer: 86*l - 3888974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.21 and -5?\nAnswer: 1.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*h**3 + 1 + 89*h**4 + 3*h**2 - 171*h**4 + 83*h**4 - 14*h as i*h**2 + x*h**4 + p*h**3 + g*h + m and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06093 and 11505.\nAnswer: 700.99965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67468.09ug?\nAnswer: 0.06746809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 6.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186162 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*i - 56*i + 284. Let q(w) = -12*w. What is q(i)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5*q + 177*c**5 - 3*c + 20*q wrt c.\nAnswer: -20*c**3*q + 3540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**4 - 32*b**5 + 30*b**5 + 278*b**2 + 2342*b**2 - 44*b**4 wrt b.\nAnswer: -120*b**2 - 816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7900 + -7900.022. Let a = -1.013727 - -0.9917. Let z = a - r. What is z rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 2}. What is prob of sequence pkk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*g**4 + 1261*g**2 - 98*g**4 - 1029*g**2 - 3902*g**2 + 11*g**3 - 3786*g**2 wrt g?\nAnswer: -1872*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*f - 5*c, f + 0*c = 3*c - 8. Let y(b) = -21*b**3 + 2*b + 3. Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:39 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8995 + -8994.99975506. Round u to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1015, 49, -3, -4 in decreasing order.\nAnswer: 49, -3, -4, -1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*v = -59*v + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(-1*sqrt(4)))\/(-4*sqrt(4)\/sqrt(2)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 5*t - 10. Let p be b(7). Suppose -13 = -p*g + 11. What is the least common multiple of g and ((-8)\/(-6))\/((-2)\/(-12))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 3*sqrt(176))**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 - 4*q - 8. Suppose 20*y + 3041 - 2993 = 8*y. What is f(y)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzzzzzzzzzzzwzzzzwz. Give prob of sequence zwww.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38383 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -25. What is the remainder when o\/(-1*3\/27) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/170*(-166)\/(-747)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/57)\/((-7)\/(0 + 273)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 81. Let r be p(0). Suppose r = 8*v - 15. Suppose -v = 3*w, -w - 4 = 13*l - 10*l. Let a(u) = -u - 12. Give a(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.053 (b) 2\/123 (c) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 13 - -1) + (8 - -12) + 29 + 10.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527*h**2 + 3*h - 3*h.\nAnswer: -527*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20027582?\nAnswer: 2, 37, 241, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/9 + 764*x**4\/9 - 98288*x**3\/9 + 487200*x**2 - 1820448*x + 1778112 = 0.\nAnswer: 2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2526*v - 8069*v**2 - 5596*v + 3142*v**2 wrt v?\nAnswer: -9854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8)*24\/(-15). Which is the closest to 1? (a) -4\/3 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u - 3*u)*(6 + 6*u - 6) + u - 2*u**2 - u + (-1 + 1 - 1)*(19*u**2 - 170*u**2 - 16*u**2).\nAnswer: 159*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*35*(-6)\/(-60)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 59*q**2 + 26*q - 9907. Give y(-62).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/21273 and 115\/48624?\nAnswer: 340368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 1. Let z be s(-7). Let o(h) = -h**3 - 4*h**2 + 7*h + 2. Let y be o(z). Let w = -20 + y. Calculate the highest common factor of w and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-57)\/(-27))\/(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -4*f. Suppose -19*i - 80 = -17*i. Let x be i\/(-22) - (-1 - -3). Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -15*s + 13*s - 1526, 3*h = 3*s + 1137. What is the highest common divisor of h and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -74\/7, -9, 304?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11303*f**3 + 14904.\nAnswer: 33909*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39537 plus -0.0691?\nAnswer: -39537.0691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*w - 2019 - 701 = 0, u - 880 = -4*w. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -10639, 0.5, -2\/145, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0157 * 22\nAnswer: -0.3454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4 + (-16)\/(-32). Solve a*z - 27 = 30*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 5 - (345 + -354) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*r + 8 = 0, 5*m - r - 10 = 4*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 248, 250, 252, 254, 256?\n\"Answer: 2*s + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 123111.97 to the nearest one thousand.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, v: 1}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 + 36*x**2 - 3628*x - 38*x**2 + 3746*x = 0.\nAnswer: -1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (0 + 120\/59). Suppose -3*m + 13 = 2*z, -5*z = -m + 6*m - 20. Let c be (378\/(-35) + 11)*m\/2. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 7)*(-3*n**2 - n**2 + 2*n**2) + (41 + 13 + 0)*(-3*n**2 + 3*n - 3*n).\nAnswer: -148*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 2*u + 3. Let m be b(3). Suppose m*y - y - 15 = -5*z, 2*z - 3*y - 19 = 0. Suppose 0 = 3*s - z*s - 6. 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: Find the third derivative of -117184809*c**3 - 168951484*c**2.\nAnswer: -703108854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/126*-21 + (-58)\/(-4). Suppose c - 30 = 2*s + 3*s, 2*c - 2*s - 20 = 0. Solve -6 + q = -c*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:22 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, -210074 in increasing order.\nAnswer: -210074, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36214.59908 rounded to the nearest 10?\nAnswer: 36210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*b - 3*h, -4*b - 3*h = -12 + 2. Let j(r) = r**3 - 5*r**2 - 6*r - 4. Let k be j(6). Let a be 32\/18 + k\/(-18). Put 4, a, b in ascending order.\nAnswer: b, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**0\/p))**29)**(6\/23)\/((p**(1\/2)*p**(-6\/7))\/(p*(p*p**(-1\/4))\/p*p)**19) assuming p is positive.\nAnswer: p**(31387\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3839 and -7\/9595.\nAnswer: 36835205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6 - 8 - 10 + 49*d + 5. Let a(b) = -24*b + 4. Give -7*a(x) - 4*m(x).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12710699 is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 38 = -2*g - 9, 4*g = 2*h - 2. Suppose -3*p + 3 = g*t + 1, -3*p = 3*t. Put 1, 5, t, 4 in decreasing order.\nAnswer: 5, 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 2. Let d(r) = -4*r + 5. Let v be (-9)\/2 + 4\/(-8). Calculate v*q(g) + 2*d(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, b: 8}. Give prob of picking 2 q.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 - (2 + -5 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.9. Let o = -10400 + 10398. What is the closest to b in o, -34, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/286 and 29\/220.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*z - 7, 16 = -3*z - z. Let d be 30\/2*(b + 0). Suppose 5*m = 5*c + d, -8*m + 21 = 5*c - 4*m. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*(j\/(j**5\/j))\/j*j)\/j*j*j))**(11\/4)*(j\/j**(-31))\/(j\/j**25) assuming j is positive.\nAnswer: j**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5585 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m - 6476 = -6562 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 306.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 17*j + 23 + 6 in the form b + g*j and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101873 is divided by 625?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685563666 + -8.\nAnswer: 685563658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -85, -217, -423, -715, -1105?\n\"Answer: -2*u**3 - 19*u**2 + u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(13)*-2 - sqrt(13)) + 0 + sqrt(468))**2*-6 - ((sqrt(13) + -5 - sqrt(13))*-4 + (sqrt(52) + sqrt(208)\/sqrt(4))\/sqrt(4)).\nAnswer: -818 - 146*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14103*a + 56772 = -14099*a. List the prime factors of a.\nAnswer: 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {x: 5, t: 7, j: 1}.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7090, 7092, 7094, 7096?\n\"Answer: 2*t + 7088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.885 + 23.885. Let b = -76\/215 - 2\/43. Let v be (-4)\/18 + 1\/3. What is the second smallest value in v, m, 4\/5, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3*sqrt(1100))**2 + 1 + sqrt(1100) + 4*(0 + sqrt(1100))**2 + sqrt(1100) + sqrt(1100) + (1*sqrt(1100))**2 + -2)*-6 + -2.\nAnswer: -92420 - 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6)*(-14*k - 15*k + 6*k)*(0 + 2*k + 0).\nAnswer: 276*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 338*o + 3 wrt o?\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {f: 1, w: 2, a: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176131 is divided by 88062.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.042708 nanoseconds to days.\nAnswer: 0.00000000000038243875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeeecgeojeeeegj. Give prob of sequence ogg.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) - (sqrt(612) + 1 + sqrt(612) - sqrt(612)) - sqrt(612) - sqrt(612))) + sqrt(612) + 1)**2 + (sqrt(612) - (-4 + 2*sqrt(612))).\nAnswer: 90*sqrt(17) + 9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 46, 26, 2, -26?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y + 5. Let m be (6\/2)\/(2\/(-6)). Let n = m + 3. What is the common denominator of a(n) and -91\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + 0. Let a = 0.008 + -2.008. What is the closest to a in l, -1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 2097 + 25. Let q = v + -123. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 1.437?\nAnswer: -1.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1168774156 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83236362 to the power of 1\/3, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 86775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4 - 8. Let p = y - -56. Let h = 87 - p. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 404.9 + -49.9. Let o = 377 - s. Which is the biggest value? (a) 2\/5 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20.84136 millennia?\nAnswer: 2084.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -94?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 149*i**2 - 6654*i - 187. Determine n(185).\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - -1.4. Let d be (3\/18)\/((-32)\/64). Which is the third smallest value? (a) d (b) -2\/103 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -224945993 and -0.6.\nAnswer: -224945993.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + u + 8, 4*y - 2*u + 14 = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/9 + 7360*u**3\/9 - 2254612*u**2\/3 - 13549760*u\/9 - 6778562\/9 = 0. Calculate u.\nAnswer: -1, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 + -171.2. Which is the closest to -1? (a) -5 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = -j - 2*j + c, c = 4. Let q be j\/(-9) + (-6)\/(-9). Suppose -g - 5 = -q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 3*l. Let r be a(-5). Suppose r*c = 5*c + 595. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**4\/8 - d**3\/3 - 2*d**2. Let f be (10*(-6)\/(-16))\/(21\/28). Suppose -3*k + 3*q = 2*q - 14, -5*k + 10 = f*q. Determine b(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 4*g - 6*g - 3*s, -s + 41 = 3*g. Suppose -v + j + 15 = 0, 4*j - 9 = -v + 2*j. Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -79 - 3*z + 17\/3*z**3 + 3*z**2. Differentiate f(d) with respect to d.\nAnswer: 34*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.5. Let c = -0.3 + j. Let b = 0.2 + c. Is b smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**3*y**2 + 3*w**3*y + 76*w**2*y - 66*w*y**2 + 10*w*y + 6*y**2 wrt w.\nAnswer: 30*w*y**2 + 18*w*y + 152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(84\/10))\/((-2107)\/(-3612)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 916 and 255793.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519278123?\nAnswer: 7, 13, 5706353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/5)\/l*l)*l**(-4)*l)**(8\/9)*(l**(-1\/3))**17\/(l**(-1\/2)\/(l*l\/((l**(-2\/5)*l)\/l*l))) assuming l is positive.\nAnswer: l**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 7*n**2 - 5*n + 7. What is the remainder when s(-6) is divided by (-48)\/(-32)*(-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 take away -197.557?\nAnswer: -212.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5079829397 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - i = -0*i + 1, 2*p = i + 1. Factor -2 + 4 + 3*y + y**3 - 2*y**2 - 4*y**3 + p*y.\nAnswer: -(y - 1)*(y + 1)*(3*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22147*i - 41280.\nAnswer: 22147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 591, 2101, 4533, 7887?\n\"Answer: 461*q**2 + 127*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**3 + 10*p**3 + p**3 + (-2*p + p - p)*(-3*p**2 - 3*p**2 + 8*p**2) - 20*p + 20*p - p**3 as u*p + r*p**3 + b*p**2 + x and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 30 = -6. Which is the nearest to 0? (a) -4 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197330?\nAnswer: 2, 5, 7, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 4*k**2 + 2*k - 3. Let m be x(4). Suppose -50 = -3*c - 5*p - 3, m*p - 2 = 2*c. Let h = 10 + -5. What is the remainder when c is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*u**5*(u\/u**(-12))\/u**5 assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**6\/15 + 5*q**4\/4 + 4*q + 7. Let a(w) be the first derivative of d(w). What is the third derivative of a(i) wrt i?\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15735440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + 1 + (sqrt(468) + -2 + (2*sqrt(468) - sqrt(468)) - sqrt(468)) - (2 + sqrt(468) + -5 - (2 + sqrt(468)*-3)))**2.\nAnswer: -216*sqrt(13) + 4247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24*s + 10. Let r(k) = -5*k - 2. Let j(o) = 3*l(o) + 14*r(o). Let b(p) = -3*p - 4. Determine -4*b(a) - 7*j(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - r + 304. Let n = -33 + 33. Let a be j(n). Suppose 3*h = -q + 434, -h - h + 3*q + a = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 80 + 50. Let a be (-1)\/(1 + 24\/(-27)). Let w = -7 - a. Put i, 4, w in descending order.\nAnswer: i, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2) + -2)**2 + sqrt(2)) - (-5 + -2*sqrt(2)).\nAnswer: -7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*t**2 + t**2 + 3*t**2)*(-1 - 2 + 2) - 2*t**2 + 4*t**2 + 0*t**2 + 73*t**2 + 40*t**2 + 8*t**2)*(10*t**2 + 2*t**2 - 5*t**2).\nAnswer: 868*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*p + 64 = -360*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 123\/6 + (-1)\/(-2). Let i(o) = -o**3 - 2*o**2 - 1. Let v be i(-2). Let h be (v - -1) + 63 - 0. Calculate the greatest common divisor of b and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*d - 121 + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.3 + 14. Let n = -0.19 - 1.01. Let h = n + i. Sort -3\/5, 0, h in decreasing order.\nAnswer: 0, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let y(o) = 120043*o**2. Give y(u(k)).\nAnswer: 120043*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94571*d**3*k + 4*d**3 + 9*d**2*k - 225*d**2 - d*k + 1326*d - 2 wrt k.\nAnswer: 94571*d**3 + 9*d**2 - d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 2*s - 214. Determine d(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000676694121 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 703 = 5*t + 2*y, 5*y = -t + 35 + 124. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**5 - 31*l**5 + 522*l**2 + 30*l**5 + (-2*l**4 - 1 + 1)*(-2*l - 2*l + 5*l) - 2*l**5 + 2*l**5 - l**5.\nAnswer: -7*l**5 + 522*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75421751.\nAnswer: 75421751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28609390 rounded to the nearest 100000?\nAnswer: -28600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -899 + 3113. Suppose -7*g + a = -g. Suppose g + 104 = c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i + 12. Does 34 divide s(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68399?\nAnswer: 68399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8275686719.\nAnswer: 103, 80346473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 94602 from -3.41.\nAnswer: -94605.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11664 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 727 + 801. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -43. Let u be 85440\/140 + d\/((-21)\/2). Round u to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -1111011011111001?\nAnswer: -1111011100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2258.027856 + -2258. Round z to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1716500 and 10.\nAnswer: 1716500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202293633, 202293621, 202293595, 202293549, 202293477, 202293373, 202293231?\nAnswer: 202293045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(1 + 2) - 259\/(-37).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 340522 - -2?\nAnswer: 340524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3000156737 to the nearest integer?\nAnswer: 54774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Let n = -1 - 1. Let z = n - -1.7. What is the third biggest value in f, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 402909700 and 181309365.\nAnswer: 3626187300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axce when four letters picked without replacement from {a: 6, e: 2, c: 3, x: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1624 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*f = -14 + 4, 5*d - 10 = -4*f. Let p be d\/(-10) + 16\/5. Let q be (60\/(-27) - -2)*p. Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**2\/2 - 18*i + 2. Let y be r(10). Let w(x) = -x**3 - 5*x**2 - x + 11. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*l + 9 - 2*l**3 - 8*l**2 + 16*l**2 + 154*l + 1 to y*l + a*l**3 + f*l**2 + v and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110.1 - -110. Let u = 0.3 - 0. Which is the closest to n? (a) -30 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20377491*a**3 - 2609*a - 7480.\nAnswer: 122264946*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 + 2)*(-4*s**3 + 6*s**3 - s**3).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23759 + -23754. Factor -16\/5*d + 14\/5*d**4 + 0 - 2\/5*d**k + 8*d**2 - 36\/5*d**3.\nAnswer: -2*d*(d - 2)**3*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 56. Let p = i - 7. Put 0.2, -20, p in decreasing order.\nAnswer: p, 0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 9*y**2 - 9*y - 5. Let b be -15*(-8)\/100*50\/6. Let s be o(b). Solve -11 = -s*g - 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.13, -1\/6, -12, -1?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180) + sqrt(180))\/sqrt(10) - (sqrt(18) + sqrt(18)*-1*-4))\/(sqrt(294) + -2*(sqrt(294)*-2 + sqrt(294)))*-1.\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2621*k*w**3 + 48*k - w**3 - w + 5 wrt w.\nAnswer: 15726*k*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 99*m**2 - 73*m + 2366. What is the units digit of a(102)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 1340 = 11*m. What is the greatest common divisor of 469 and m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/8)\/((-39)\/1664). Let g = 106 + f. Solve 8*d - g = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*h = 56, -5*h + 0*h = 0. Let j = -12 - k. Let m = -2 - -10. Solve 0*o - m = -j*o, 4*y = 4*o + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 1\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 154\/(-12)*1600\/280*180\/(-50). Solve -v = 8*m - 256 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2205185?\nAnswer: 5, 31, 41, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 18127306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 l when four letters picked without replacement from {q: 2, y: 1, l: 3, o: 1, x: 3, f: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 1. Let u(k) = -6*k**2 - 2*k + 2. Suppose 0 = -4*p - 5*b + 6, 24 = 4*p + b - 5*b. Calculate p*y(i) - u(i).\nAnswer: 2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39170.85 grams to milligrams.\nAnswer: 39170850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102161682541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -32645.736 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**3\/3 + i**2 - 71*i. Let f(p) = -2*p. Calculate f(q(s)).\nAnswer: 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/22 and 39\/3241396?\nAnswer: 35655356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/(-3) + 18\/27. Let b = c - -25. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let p(g) be the third derivative of -g**3\/6 + 3*g**2. Let v(i) = -c(i) - 2*p(i). What is v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694582 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-25) + 66\/(-5). Let j be (-1 - -1) + q + 41. What is the highest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1350146.\nAnswer: 135014.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -815 - 2c?\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 2.8. Suppose 5*v - 235 = -5*l, -l - 2*v - 4 = -46. Let g = l + -52. Which is the nearest to f? (a) -3 (b) -2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4787928*d**3 - 1989827 wrt d.\nAnswer: -14363784*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 14.178. Let t = 2692.10280161 + -2691.9248. Let k = t + g. What is k rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 5*t**2 - t**2 + 2 - 2 - 3*t**2 + (-t**2 + 0*t**2 - t**2)*(-4 + 3 + 3) + (-4*t + t + 2*t)*(0*t + 3*t - t) + 4*t - 4*t - t**2.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -111044 (base 5) in base 9?\nAnswer: -5312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 71, 197, 373, 599, 875, 1201?\n\"Answer: 25*h**2 + h - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.68 - 24. Let g = -3.7 - -6. Let d = g - m. Round d to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f - 17*f + 32*f)*(-5*f**2 + f**2 + 3*f**2) + (5 - 5 - f)*(f + 2*f**2 - f) - 6*f**3 - f**3 + 2*f**3 + 15*f - 15*f - f**3.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 27, -3*r - 2 = -o - 10 - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 14067150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*a - 13 = -2*a, 0 = w + 3*a - 8. Let j be 7\/3 + (-3)\/9. Suppose j*f - w = -13. Let h(n) = n**3 + 5*n**2 + 3*n - 4. What is h(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 14*c - 17. Suppose 4*i - 4*r = -60, -4*i + 16 - 52 = 4*r. Let d be f(i). Let j be (-1)\/(14\/4) - (-23)\/d. Solve 8*w = j*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 + 2*z**2 + 4*z**2 + (z + 0*z - 13*z)*(-2 - z + 2).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 < 348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 - m**2 + 3*m - 2. Let c be ((-10)\/(-55)*1)\/(16\/176). Determine o(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j - 237. Suppose -31 = k - 2*s, k + s + j = -2*k. Is 14 a factor of (-372)\/k - (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2. Let z(c) = 8169 - 8169 + 424*c. What is z(u(p))?\nAnswer: -424*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 0.5 (b) -2\/13 (c) -6 (d) -9\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 235 = 13*m, -2*m + m - 7 = -63*f + 59*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 164. Sort 2, -4, 1, w in descending order.\nAnswer: w, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7694597.97 to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 144 = -5*f, -4*z + 9 = 4*f - 103. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/15 - 83*h**5\/20 + 955*h**4\/12 - 649*h. What is the third derivative of p(z) wrt z?\nAnswer: 48*z - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, w: 14, a: 2, c: 2}. Give prob of picking 1 p, 2 c, and 1 w.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from {q: 3, n: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1735 + 1748. Solve 3*z + b*z = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 161*s**2 - 2*s. Let c(q) = 100733*q. What is c(w(t))?\nAnswer: 16218013*t**2 - 201466*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73989881 is divided by 964?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Let j = 36 + -26. Let n = 15 - j. Which is the second biggest value? (a) n (b) u (c) 0.2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmmm when four letters picked without replacement from {j: 2, m: 4, f: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (2*sqrt(400)*2)\/(sqrt(88)\/(sqrt(11) - (sqrt(539) + (-2*sqrt(539) - sqrt(539)))))).\nAnswer: -1500*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 - 1551*z**2\/2 + 15237*z\/2 - 13689\/2.\nAnswer: 3*(z - 507)*(z - 9)*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -90*v**3 + 5*v**2 - 5*v + 5. Let a = -1358 - -1363. Let l(q) = 45*q**3 - 3*q**2 + 3*q - 3. What is a*l(i) + 3*g(i)?\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(-3*l**3 + 3*l**3 + 4*l**3) + (-1 - 3 + 6)*(3*l**3 - l**3 - l**3).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 20 = 0, 4617 = b + 9*l - 8*l. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - y. Suppose -4*s + 6*s = y. Solve s = -2*h + 6 - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, 2, 4, 65 in descending order.\nAnswer: 65, 50, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -24, 13, 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(189))\/(-2*sqrt(28)\/sqrt(4)))**2.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -241, -1026, -2527, -4876, -8205, -12646, -18331, -25392?\nAnswer: -33961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146 + 7*n**2 - 158 + 2*n**4 - 152 + 431 - 3*n**2 to s*n**3 + w + u*n + p*n**4 + z*n**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 147*p + 4. Let l(w) = -w - 1. Let j be l(3). Let o be v(j). Find the common denominator of (1\/4)\/(6\/o) and -29.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -363*v + 339*v + 144 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5014.\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - y = 0, -2*g = -4*g - y - 3. Let x be (g + (-14)\/10)*-5. Solve l + x*q + 2 = 0, 5*q + 17 = 2*l + 2*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/4 - 9139*i**2\/4 + 27234665*i\/4 + 296825687403\/4 = 0.\nAnswer: -7331, 5523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101010011 - 10001000?\nAnswer: -1101111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(13) - sqrt(13)*1) + 4)**2*4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -878 - -934. Calculate the remainder when 57 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 1. Let j(q) = 6*q - 4. Let l(y) = -j(y) + 4*r(y). Let n(z) = -z**2 + 1 + 4 - 6 + 4*z. Let s be n(4). Determine l(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 144\/5 - 1151\/40. Let d(r) be the third derivative of 0 - 1\/15*r**3 - 1\/300*r**5 + r**2 + q*r**4 + 0*r. What is j in d(j) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -720, 1, 2\/5.\nAnswer: -720, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29029 and 812.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 26435000 to the nearest 100000.\nAnswer: 26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/126 + (-4)\/(-36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 1 = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1085\/(-1075) + 4 - (3 + 0). Let k = t - -436\/645. Is k < 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102878*c**2 - 1138548.\nAnswer: -205756*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*t + 14 + 6, -7 = -h - t. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from rvcwiwwvcmcmcwcw?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzzquu. Give prob of picking 2 u and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -7*d - 20. Let p be (4 + 1)\/5*d. Solve 4*u - 2*q + 18 = -p, 0 = 3*u + 4*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.168 times 1?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 + 8541\/195)\/(168\/(-165) - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27051317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321 = 79*k - 136*k - 50*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 18 (b) -3 (c) 11433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 + 49*x + 121. Let r be u(-3). What is the greatest common factor of 3969 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000628 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(4\/32). Let o be (-4)\/((-9)\/4 - -2). Find the common denominator of -57\/7 and (412\/o)\/(10\/y).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2\/2 - 2965314*p = 0. Calculate p.\nAnswer: -1976876, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 108 + -123. What is the common denominator of (u\/280)\/(1 + 17\/(-21)) and -121\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -1. Let m be f\/3*4\/(-10). Solve c - 1 = m*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 - 3*n + 3*n + n**4 + 4*n**4 + 0*n**4 + (0*n**3 + n**3 + n**3)*(4 - 4 + 3*n)*(-96 + 39 + 16).\nAnswer: -242*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1070.3 - 1157. Let p = 15.3 - q. Let w = p + -102.0008. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.44 + 4.3. Let c = 2.36 - p. What is the closest to 1\/3 in c, 0.3, -2.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7)\/d)\/d**(-3))\/(d*d*d**(2\/7)*d)**(-34))\/(d**(-2\/15)\/(d*d**(-2\/5)))**45 assuming d is positive.\nAnswer: d**(978\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-2587)\/(-286) - 10) + 1)*(-6 - 0). Which is smaller: -32.8 or g?\nAnswer: -32.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542283023075 less than 36?\nAnswer: -3542283023039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 4*b**2 + 7*b + 3. Let z(h) = h - 1. Let y(o) = p(o) - 4*z(o). Let t be y(-4). Which is smaller: -27\/5 or t?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -79. Let l = -39 - s. Let y = -41.99999931 - l. Round y to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {q: 3, n: 1, e: 6, h: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2985193, 5970392, 8955591, 11940790, 14925989?\nAnswer: 17911188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 8*n**2 + 8*n - 3. Let w be i(-6). Let q = -2062 + 1410. Let p = 655 + q. What is the highest common factor of w and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**8\/16800 - h**7\/3150 - h**6\/1800 + h**5\/150 - h**4\/2 - 9*h. Let o(k) be the third derivative of b(k). Factor o(i).\nAnswer: 2*(i - 2)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 23*r**2 + 23*r - 42. Let d be u(22). Let q be (d\/35)\/(2\/(-7)). Let x(h) = -q*h + 44 - 44. What is x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857381711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (48 + 48 + -30).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + z + 5 - 9 = 0, -2*d + 16 = -5*z. Let c be 2\/d - (-390)\/9. Are 300\/7 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79362 and 792?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100011120222 (base 3) to base 14\nAnswer: 49ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10522 and 8375512?\nAnswer: 8375512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 5*r - 8. Let h be x(7). Suppose -h = -m - 2. Suppose -2*b = 2*l, -m*l + 2*l = b - 1. Sort -2, l, 4 in increasing order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = 13. Let b(s) = 2132 - 26*s - 2132. Is b(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 17*b**2 + 43*b + 51. Calculate i(-13).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 104740000 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - n + n + (-n**2 + 4941657 + 38*n + 0*n**2 - 4941654)*(0 - 1 - 1).\nAnswer: n**2 - 76*n - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-15392)\/520*(-5)\/(-4)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/70)\/(1\/(-10)). Solve z - 9 = -t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(140)\/sqrt(10))\/(-3*sqrt(28)) + 5.\nAnswer: -2*sqrt(2)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 8\/21*v**7 + 0*v**2 + 0*v**3 + 0*v**5 + 0 - 15*v + 23\/12*v**4 + 0*v**6. What is the third derivative of q(b) wrt b?\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -23*u**2 + 14*u - 11. Let m(d) = -11*d**2 + 6*d - 5. Calculate 6*k(q) - 13*m(q).\nAnswer: 5*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 2\/(6\/(-21)). Let k be 1\/((i\/(-15))\/2). Suppose 60 = 14*q + q. Put q, 8, k in descending order.\nAnswer: 8, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -6805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*a + 25, 3*a - a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153828 - 153824. Factor 1\/5*j**q - 66\/5*j - 14\/5*j**3 + 27\/5 + 52\/5*j**2.\nAnswer: (j - 9)*(j - 3)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -16*t + 57. What is the least common multiple of 10 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103032 divided by 5724?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 9*p - 7. Let v be a(-7). Suppose -4 = 4*d - 4*y, -6 = -4*d + 3*y - y. Let k be 1970 + (-3 + v - d). What is k rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -6*m + 2*m - 16, 0 = -2*m + 5*a - 14. What are the prime factors of (m\/(-6))\/((-7)\/(-105))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - z + 5 = 0, 4*a + 15 = -z + 4*z. Suppose -3*v + v = a. Suppose -p + v*p = -157. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u - 3. Let d(y) = 11*y - 3. Let s(w) = -3*d(w) + 4*v(w). What are the prime factors of s(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -230296? (a) -0.2 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v - 3*v - 7*v - 4*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 8:47 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2967181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 1123355?\nAnswer: 3370065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 1. Let b(l) = -3*l - 2. Let y(p) = b(p) - 2*o(p). Let f be 246\/5*(-55)\/(-22). Let q(k) = 9*k - 123 + f. Give q(y(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 32 = 7*u. Calculate the lowest common multiple of (-2 + -2)*51\/(-12) and u.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289593 is divided by 41220.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/15)\/(6125\/8750).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24264082 divided by 262?\nAnswer: 92611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(17) + 1 - sqrt(17)) + (sqrt(17) - (sqrt(51)\/sqrt(3))**2*-3))*-5.\nAnswer: -275 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 35139.\nAnswer: 4\/35139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (160 - 160 - 298*q)*(-2 + q + 2)*(-5*q + 10*q - 20*q) to the form d*q**3 + j*q + z + v*q**2 and give d.\nAnswer: 4470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/((-12)\/(-158)))\/(10\/20). Let y = l - 78. What is the units digit of (y\/(-1) + -36)\/((-3)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -255, -243, -229, -213, -195, -175, -153?\n\"Answer: k**2 + 9*k - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1014 and 507.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 - 112. Calculate the remainder when w is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 25*x = 0. Suppose 15*s - 2575 - 1130 = x. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t, 5*i = 3*t + 171 - 186 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3022118 - 3022116. Suppose -n + 5*n + 4*s - 12 = 0, -2*n + 1 = -3*s. Factor -1 + g*z**n + 7\/2*z.\nAnswer: (z + 2)*(4*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14849 - -0.17745?\nAnswer: -14848.82255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t - 26. Calculate r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3659424 is divided by 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 3 + (-6 - (-7 + 10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58257, 232993, 524211, 931905, 1456069?\n\"Answer: -a**3 + 58247*a**2 + 2*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 + 0 = 0. Suppose g + 0*g - 7 = -3*l, 5*l = -i*g + 14. Let k be ((-50)\/100)\/(-1*g\/4). Let j(u) = -u**3 - u**2 + 3*u - 1. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 390\/(-18) - (-4)\/6. Let n = 41 + c. Suppose 0 = 4*s - 18 - 10. Calculate the remainder when n is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151952 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4266, -0.4, 0.6, -1\/5, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 1271.4.\nAnswer: 1270.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2\/2 - 38. Let a = c + 65. Suppose 4*z - 3*s = 45, -3*z - z + 75 = 3*s. Calculate the remainder when a is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186780 divided by -15.\nAnswer: -12452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y. Suppose -2*o + 2 = -y*o. Calculate the highest common factor of 3 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*p - 45*p - 3 = -c - 92*p, 5*c + 5*p - 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103403 + 14?\nAnswer: 103422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:04 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/9 + 2\/(-6). Let p = 1 + z. Find the third derivative of p*y - y**6 - 4*y - 7*y**2 - y wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -11.8. Let b = 4.6 + a. Let o = 3.38 - b. Round o to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 266 + 1334?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.7 - 6. What is the second biggest value in -2\/3, -8, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - c - 8*c + 4*c + 11 - 10 to o*c + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 180836*m\/7 - 3250512.\nAnswer: -2*(m - 90292)*(m - 126)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i + 50 = -56*i + 81*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -1\/46, -8 in increasing order.\nAnswer: -8, -1\/46, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*m + 117*m + 4179*m to u + r*m and give r.\nAnswer: 4186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10 - 2*r + 5*r + 4*r + 63*r**2 + 6*r - 3*r. Let x(s) = s**2 - 2*s + 2. Let l(j) = -5*x(j) - y(j). Let f(g) = -5*g. Calculate f(l(k)).\nAnswer: 340*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - 12.4. Let i = -13 + 5. Let n = f - i. Which is the second biggest value? (a) 0 (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 2:49 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 greater than 1008\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + g = -2. Determine u, given that 5\/2*u**2 + 3\/2*u**3 - 3\/2*u - 1\/2 - g*u**4 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 96. Let x(o) = 2*o**3 - o + 1. Let f(u) = 113*u**3 + 16*u**2 + 2*u - 3. Let l(b) = j*f(b) - 2*x(b). Find the third derivative of l(t) wrt t.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a*g*p**5 - 4*a*g*p**4 - 4*a*g*p + 5*g*p**2 + 2*g - 2*p**3 wrt p?\nAnswer: 360*a*g*p**2 - 96*a*g*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 138? (a) 0.04 (b) 0 (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.89086 and -0.00281.\nAnswer: 0.0081233166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.36 times 3020?\nAnswer: 40347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**4 + 12*q**4 + 11*q**4)*(32 + 0 + 9).\nAnswer: 1312*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4273266 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 7*n - 6*n + 3*c, -3*n - 5*c = -31 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 193.4859ng to grams.\nAnswer: 0.0000001934859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4 + (-156)\/312?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/10)*o*o**14)\/(o*o**(2\/23))**(1\/5) assuming o is positive.\nAnswer: o**(3239\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10650 - 10650. Let z = 2.2 + -2. What is the nearest to 2\/9 in z, d, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-366)\/(-42) - 2\/(-7). Suppose 5*t + 20 = 0, 3*r - 2*t = -2*r + 68. Let q be (-8)\/(-2)*d\/r. Solve -12 = -3*a + 4*x - 3, a - q = -3*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from lqllqlqcccqqcqc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37748, -150942, -339516, -603476, -942828, -1357578, -1847732, -2413296?\nAnswer: -3054276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14383 is divided by 799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 - 5*n + 6. Suppose 5*z + 4 = -16. Let j be ((-1)\/(-2))\/((-1)\/z). Let p(c) = -c + 10 - c**2 - 6*c**j - 5*c - 3. Calculate -5*p(r) + 6*x(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -3*q + 275. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2\/2 - 35*z\/2 + 30 = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + r**2 - 3*r - 1. Let f be s(-2). Let a(u) = -u**3 - u**2 + u. Let c be a(f). Which is smaller: c or 2\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -63. List the prime factors of 6 + -7 + 312 + -2 + j.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-164)\/1107)\/((-4)\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:07 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 26\/4)\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1727*t - 2358*t + 468*t.\nAnswer: -3617*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1) + (1 - -57) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 + -50. Let y be (0 - (-1)\/3)*d. What are the prime factors of ((-3)\/1)\/(y\/17)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 64*g - 134. Is 13 a factor of a(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -30*m + 30300. Suppose m = j + 1211. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*d**3 + 3*a**3*d**2*k + a**3*d**2 + 2*a**2*d*k - 9*a**2*d - 25*a*d**3 wrt a?\nAnswer: -18*d**3 + 18*d**2*k + 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354 (base 12) in base 14?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7525019*y**4 - 9*y**3 - 6607528*y**2 - 8*y wrt y?\nAnswer: -180600456*y - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2857866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 1877 + 1926 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 1220220?\nAnswer: -1221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-6 - (-8 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (14 + -8) - (-6 - -14) - -30.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36113558.\nAnswer: 2, 13, 281, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (-11 - (-25 - 22))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 - 3*l**2 - 5*l + 1. Let w(n) = -7*n**3 - 6*n**2 - 10*n + 2. What is 5*p(y) - 2*w(y)?\nAnswer: -6*y**3 - 3*y**2 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20)*-3)\/((-28)\/35)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:45 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -514*h**2 + 541*h**2 - 126*h**6 - 192*h**6 wrt h.\nAnswer: -38160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*m + 0 - 14*m + 1 - 5 to the form c*m + t and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 392. Suppose 4*o = 3*o + 6. Is (y\/o)\/(6\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(396) + 0 + 3))**2.\nAnswer: 324*sqrt(11) + 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbbbbjbbb. Give prob of picking 3 b and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124362 is divided by 147.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-10)\/12))\/((-6672)\/80).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -38*y + 36. Let s be m(11). Let n = s + 672. Suppose -n = -6*a + 76. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*n**3 - 53*n + 38*n - 3*n**3 wrt n?\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2111*i**2 + 615*i + 3. Let o(k) = -24*k**2. Let p(t) = j(t) - 4*o(t). What is the second derivative of p(n) wrt n?\nAnswer: -4030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73092020 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4644\/1620 + (-116)\/30 + 4. Let a(c) be the third derivative of 1\/12*c**4 + 0 + 19*c**2 + 0*c**o + 0*c. Let m(z) = -33*z. Determine m(a(h)).\nAnswer: -66*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 665846 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -509*x**3 - 5*x**2 - 18*x - 13. Is 9 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 11*n - 130. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 7*u**3\/6 + 10*u**2 - 146*u + 1. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 6232.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 7*o + 3. What is u(-7)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -220, -218, -216?\n\"Answer: 2*o - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -65. Sort 5, m, 2, -15 in descending order.\nAnswer: 5, 2, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 7 = 5*f. Let h = 14 + f. Suppose 0 = -2*v - h*v + 24. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + (7 - 5) - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/2030883 and 87\/32?\nAnswer: 64988256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 20. Let c(s) = s**2 - 4*s + 3. Let j be c(f). Let i be (-1)\/j + 49\/3. What is the greatest common divisor of i and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 317.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6838 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250050492.\nAnswer: 2, 3, 1031, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 + -194.42. Let p = f - -182. What is the closest to 0.1 in p, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*v - 2508, 0 = -2*v - 4*n + n + 1252. List the prime factors of v.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*g + 429*g = -4*h + 18, -5*h + 7 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90953 divided by 14518?\nAnswer: 90953\/14518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 16. Let u(l) = 4*l + 0 + 2*l + 0*l + p. Let q(g) = -g - 1. What is 4*q(x) + u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -115. Let r = a - 33. Does 8 divide (-3)\/6*r\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(15)\/(-3*sqrt(125)).\nAnswer: -sqrt(3)\/15 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 138. Let x(v) = v**2 - 13*v + 14. Calculate the remainder when w is divided by x(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (23790 - -4) + -6 - (41 - 30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) 0.037 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 52. Let h be x(3). Let v be 2\/(-5) + (-2424)\/(-10). Let t = v + -98. Calculate the greatest common divisor of t and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3928*c + 25781*c = -9213*c + 1438707 - 320331 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 704 = 2*b, 5*j + 3*b + 176 - 1055 = 0. What is the remainder when 1235 is divided by j?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6\/((-18)\/(-15)). Which is the nearest to -3\/5? (a) 0.2 (b) x (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2 - 8 + 5 + 6. Let b(j) = j**2 + 2*j - 1. Calculate b(g) + 3*s(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5 = 11*m. Which is the nearest to 3\/2? (a) 16 (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -351, -512, -695, -906, -1151?\n\"Answer: -i**3 - 5*i**2 - 139*i - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 51 - 29 = -2*t, -t + 17 = 5*m. Solve -q + 8 = m*n + 3, 5*n = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 512 + -440. Let g = 1159.7 - 1232. Let v = g + l. Which is the closest to -0.1? (a) v (b) -1\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -80*g - 6. Let x be u(8). Let q = -541 - x. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from netennssssnneee. What is prob of sequence ssns?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from lltlllllllltpllpllpl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468.9404 years to months.\nAnswer: 5627.2848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 291236, 584843, 878450?\n\"Answer: 293607*w - 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*a - 1 + 11*a - 5*a as w + x*a and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464.984 + 0.016. Let s = f + -397. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 97, 163, 245, 349?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 111, 178?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209453 - 289256?\nAnswer: -79803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 - 3050*i**3 - 43366*i**2 + 422106*i - 646380 = 0?\nAnswer: -21, 2, 5, 1539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 2, -5, 4\/9, 15?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -51?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/50)\/((-174848)\/409800)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*m**3*q**2 + 3*m**3 - m**2*q**2 - 140*q**2 wrt m.\nAnswer: 330*q**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2)*(2 - 3 + 2) + 2 + 1 - 2 - 2 + 8 - 10 - 4 + 2 + 4 + (0 - 4 + 3)*(1 - 3 + 1))*(t**2 + 0*t**2 + t**2)*(-t**2 - t**2 + 4*t**2).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, -2\/7, 22, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/(-210)*100\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2385 and 1740465?\nAnswer: 92244645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 518015*k**2 - 9*k. Let n(d) = -d. What is n(r(l))?\nAnswer: -518015*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00096577342 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.717309625 from 0.8.\nAnswer: 3.517309625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20827 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 35*c**2 + 42*c + 46. Calculate the lowest common multiple of 1 and p(36).\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4059490 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028662 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from {l: 2, h: 1, w: 1, d: 2, t: 8, j: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576864 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057636 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 + 163158*a - 1305248 = 0.\nAnswer: 8, 652624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -1 + 1.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29653808.\nAnswer: 2, 23, 61, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000847605962 rounded to 5 dps?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(1088))**2 - ((sqrt(153) + 2*sqrt(153))\/sqrt(9))**2) + 4 + sqrt(51)\/(-6*sqrt(243)).\nAnswer: -sqrt(17)\/54 + 4206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3 - 7*k**2 + k + 7 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + x + 30, -2*s + 4*s + x + 20 = 0. Let l(m) = -m**3 - 15*m**2 - 12*m - 8. Let o(i) = -2*i**2 - 1. Let g(q) = l(q) - 2*o(q). Is g(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}