{"text":"Question: What is the nearest to 1.8 in 0.3, -3, -1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 193, 1545, 5207, 12331, 24069, 41573, 65995, 98487?\n\"Answer: 192*f**3 + 3*f**2 - f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**5 - 9*u**4 - 15*u**3 + 23*u**2 - 2*u + 2. Let t(y) = -y**2 - y + 1. Let i(x) = 4*t(x) - 2*z(x). Suppose i(m) = 0. What is m?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + x + 20 = 5*g, -12 = -3*g - 5*x. Suppose -g*b + 106 + 18 = 4*s, b - 28 = 2*s. Solve 4*m - 2*m + b = 5*a, 3*m + 27 = 3*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 30830895.\nAnswer: -3083089.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -271 - 4643?\nAnswer: -4914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 10) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i. Let u be ((-4)\/(1 + 11))\/((-2)\/18). Suppose -2*x - 18 = -4*n - 2, 3*x + 9 = u*n. Calculate c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -703, -1487, -2353, -3301?\nAnswer: -4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -27, -26, -7, 36, 109, 218, 369?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*h**5 + 61*h**3 - 61*h**3 + (-8*h - 14*h - 5*h)*(h**3 - h**4 - h**3).\nAnswer: 32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q - 1. Let v(x) = -x - 1. Suppose 0 = -3*t + 4*t + 4. Let p = 5 + t. Suppose -4*m + 2*j - 6 - 6 = 0, -5*j = 3*m - 17. Determine m*u(s) + p*v(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*b**5 - b**3*s*t + 38883*b**2*s*t + 1073*b*s - b*t + 84*s*t - 9*t wrt b?\nAnswer: 300*b**3 - 6*b*s*t + 77766*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107077 + 106923. What is j rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3103032.\nAnswer: 2, 3, 129293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 3*n - 5*y, 12*n - 22 - 29 = 3*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2 - 2421*d - 120412. Determine b(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {x: 14, d: 2, q: 2, n: 1, s: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -4, -1 in decreasing order.\nAnswer: 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1998, 2002, 2008, 2016, 2026, 2038?\nAnswer: 2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 837 is divided by 283.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 64 + -112 + 81?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -21 >= -1866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13964\/13 - 1074. Factor 0*x**4 + l*x**5 + 2\/13*x - 4\/13*x**3 + 0 + 0*x**2.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 1. Let g be 40510\/95830 - a\/7. Let c = 83589\/13690 + g. Find the common denominator of c and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 72 and 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8658 = -30*p - 7*p. What is the greatest common divisor of 54 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 241997277 to the nearest integer?\nAnswer: 15556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*a**3*b + a**2*b**2 - 4*a**2*b + 8*a*b + b**2 wrt a.\nAnswer: -24*a*b + 2*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 125 (base 9) to base 12\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1897 = -132*h + 12612 + 25981. Solve -9*x - h = -314 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 9:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 2*u - 8. What is i(-7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 14*u**2 - 12*u + 2. Let t = 6 - 7. Let f(y) = 3*y**2 + 9*y. Let v(o) = -o**2 - 2*o. Let p(k) = f(k) + 4*v(k). Give t*j(z) - 12*p(z).\nAnswer: -2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-126)*-14*(-9)\/(-78)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4514\/9 + ((-64)\/(-72))\/2. Let x = -439 + i. What is the greatest common divisor of 42 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -290 + 39 + 243 - 1019*a to the form l*a + p and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 351\/168 - (-4)\/14 and (7\/15)\/((-105)\/(-30))*-93?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-10) - 6704\/240. Let o = -27 - s. Let d = -16.5 + 17. Which is the closest to o?  (a) d  (b) -5  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yo when two letters picked without replacement from fyyfwfkkoyf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 40 = 5*s, -6 = s + 4*p + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -46.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225207 is divided by 31758.\nAnswer: 2901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/1473 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-6)*-1*((-27)\/(-15))\/1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27144 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.0425 - -0.04249082. What is d rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (2 - 2) - 0. Let n be ((-4)\/6)\/(y\/(-6)). Let i be 1 - -1 - 0\/n. Solve -2*v = 4*a - 20, 3*a - 2*a - 5 = i*v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16?  (a) 4  (b) 2\/9  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4 + (-147)\/(-98) - 38.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2 + 2 - 5 + 2 + (-4 + 1 + 1)*(-1 - 3 + 6) + 22 - 8 + 15)*(-2 + 4 - 1)*(q + 6*q + q).\nAnswer: 184*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 4*a**2 - 2*a**2 + 0 - 12262*a**3 + 12261*a**3 + 5 - 5*a**2. What is y(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1805478 = 11*g + 33180902. Let s = -1475221 - g. Let i = -1155359 + s. What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*r**2 - 38*r**2 + 7*r**2 + 16*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of a**4\/4 - 4*a**3\/3 + 5*a**2\/2 - 6*a + 4. Is 9 a factor of u(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -115*i**3 + i**2 + i + 1. Let r be k(-1). Suppose 2*j - 6*j = -r. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 276 = -2*t, 16*q + 5*t = 21*q - 1390. Is q a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5800 and 485076040.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205254 is divided by 29228?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 4, -2\/89, 7, 15 in increasing order.\nAnswer: -0.5, -2\/89, 4, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/719 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-10) + 5760\/(-100) + 58. Suppose 5*h = 2*h + 5*l + 4, 3*h + 2*l - 11 = 0. Determine m so that 0*m**2 + 2\/7*m**h + v - 2\/7*m = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 92\/(-32) + 4\/(-32). What is the tens digit of z\/((-24)\/28)*12\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -4 - (-1 - 0) - (4636 - 4649)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*f + 14 = 0, l + 4*f = 7 + 3. Solve -u - 1 = -l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 25 = -q. Solve -4*o - 8 = -2*b, 4*b - 4*o - q = 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - 12*t**2 + 2*t - 9. Let f be l(12). Calculate the smallest common multiple of 22 and (-10)\/25 + 216\/f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17167 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 176*k**2 - 3521*k + 239. Give c(153).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 15. What is u in 6 - 4*u**2 + 2*u**5 + 8 - 8*u**3 + 6*u - c = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*r - 100*r - 116*r.\nAnswer: -86*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -510 - -504. Let x be (-2)\/n*9 - -5. Let f be ((-8)\/(-10))\/(4\/10). Solve r - 3*d = 4 + f, 5*r - 4*d = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 4*u - 5*u**2 + u + 6*u**2 + 6 + 2*u. Let x be m(-6). Let q be x + ((-6)\/(-3) - -3). Solve 0 = -q*z + b - 10, 0 = -5*z + 5*b - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 1)*(5*j**2 - 3*j**2 - 4*j**2 + (1 + 2*j - 1)*(-3 + 2*j + 3) + 7*j**2 - 19*j**2 + 15*j**2).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -14 + 46. Suppose 5*x - l = 12. Solve 3*c - 5 - x = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/4))**(-28)\/(l**(2\/5))**38 assuming l is positive.\nAnswer: l**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 15) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 2:44 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of u**8\/7560 - u**6\/540 + u**5\/270 - u**3\/3 - 17*u**2\/2 - 55. Let w(d) be the third derivative of r(d). Solve w(h) = 0 for h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -29.9. Let t = x - 0.1. Let i = 0.5 + -0.3. Which is the closest to -1\/2?  (a) t  (b) i  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 12466*r + 1134392. Determine f(-91).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -2, 52352, -5, 2, -1 in descending order.\nAnswer: 52352, 3, 2, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, c: 1, d: 5, y: 7, b: 1, u: 1}. What is prob of sequence dub?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -15*(6\/(-15))\/1. Let d = g - 3. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b6d1 (base 15) to base 3\nAnswer: 1222001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 55\/4 of a microsecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 784\/(-560)*(-2)\/14. Let 2\/5 - 1\/5*q**2 - l*q = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119543.\nAnswer: 173, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -q - 181, -7*q - 64 = -j - 3*q. Let v(m) = 5*m + 3. Let x be v(-1). Let u be j\/12 - x\/(-3). Which is the closest to 0.1?  (a) -0.1  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4*d + 38 = 0, -6372*d = -4*x - 6376*d - 52 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of 1\/4*d**4 + 0 + 17\/2*d**3 - 1\/30*d**5 + 0*d - 45*d**2. What is the derivative of s(g) wrt g?\nAnswer: -4*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 93 = w. Let t = w + -25. Let c(i) = i**2 + 6*i + 5. Let q(g) = -g**2 - 5*g - 4. What is t*c(k) + 7*q(k)?\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((1*sqrt(80))\/sqrt(8) - (sqrt(70)\/(sqrt(14)\/sqrt(2)) + sqrt(10)))\/(4*(sqrt(5) - -2*sqrt(5))*2).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2486 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*c**2 + 5*c - 72*c**2 + 33*c**2 + 3 in the form p*c + g*c**2 + t and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 511*x + 3040. Let b be r(-6). Solve b*l = 7*l - 4*s + 18, l - 6 = 4*s for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(114) - sqrt(114) - sqrt(114))*1 - (sqrt(114) - -3*(sqrt(114) + sqrt(114)*2)))\/(-1*sqrt(96)*-4).\nAnswer: -13*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 + 4*v - 1. Let x be h(-3). Suppose 3*b = -2*b + 10. Solve -3*y = b*y - x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 3 = 4*l. Let k(p) = -2*p**2 + 3 - 4 + p**2. What is k(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 - 6*n**2 - 3*n + 13. What is s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p + 5. Let l = -33 - -33. Let m(s) = 3*s**2. Let x be m(-1). Suppose c + x*c = l. Give z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**2 - 4. Let p be y(-4). Let t = -7 + 6. Let r = t + 4. What is the highest common divisor of p and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 5*k**2. Suppose 3*s - 4 - 1 = 2*w, 0 = 2*s - 10. Suppose o = w*o - 12. Let h(z) = 0 - o - 2*z**2 + 3. Calculate h(d(p)).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 174648556603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 2 - (-2 - -3). Suppose f*g - 5 = -5*g, -2*h + 2*g = 8. Is (55 - 0) + h + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.618 + 0.418. Which is the smallest value?  (a) -32  (b) -5  (c) o  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 3*k + 12*k**2 + 0*k + 25 - 4*k - 4*k**2 - 30. Let v(w) = -23*w**2 + 3*w + 14. Determine -17*q(u) - 6*v(u).\nAnswer: 2*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 134348771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(2\/9)\/z)**(-41))**(2\/119))**(-7\/4) assuming z is positive.\nAnswer: z**(41\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/218349 and -173\/1018962.\nAnswer: 3056886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*o = -17*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that 2*p**3\/5 + 1684*p**2\/5 + 308632*p\/5 - 3978320 = 0.\nAnswer: -446, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 6006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and -62.626085.\nAnswer: -62.226085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f. Let s(r) = 7733843*r**2. Calculate s(h(b)).\nAnswer: 7733843*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2*(22\/(-4) + 3)*(-126)\/420*-30\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (136 - 1) + (1 - 6). Let q = 148 - w. What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n**(-39))))**(1\/18))**(-32) assuming n is positive.\nAnswer: n**(608\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/1)\/(10 - 8). Let m(x) = -x**3 + 5*x**2 + 6*x - 2. Let t be m(6). Let z be (-102)\/(-24) - t\/(-8). Solve -4*d + 8 = -o*u - 6, 3*d + 6 = -z*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, f: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23652 (base 8) to base 16.\nAnswer: -27aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 2\/5, 2, 2\/11, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 6:51 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (12 - 6) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 PM and 4:09 PM?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w + 777. Let i(r) = -r + 774. What is -4*f(m) + 3*i(m)?\nAnswer: m - 786","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*6*(-16)\/(-960)*6*1\/(-6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*v**4 - 1 + 135*v**4 - 49*v**4 + 8*v**2 + 2*v**3 - 42*v**4 in the form x + g*v + b*v**2 + u*v**3 + n*v**4 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(50)\/(sqrt(250) - (sqrt(250) - (sqrt(250) + -5*sqrt(250)))).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 54 - 54.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -326617 by -722.\nAnswer: 326617\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 41697898383+-277\nAnswer: 41697898106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 1\/5)*5\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 95 and 3108?\nAnswer: 295260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 11 = -x - w, 4*w = 5*x + 10. Let a = x - -11. Suppose -a = -5*j + 5. Which is greater: j or 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 + -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55, -51, -47?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w = 4*k + 4*w - 192, w = -4. What is the remainder when k is divided by (-2)\/(-4) + 21\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 207 + -148. Suppose 0 = -c + 2, -5*t - 8 + g = 3*c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tssttttstffshiinh. What is prob of sequence nht?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -132 + 1?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -166*m**3 - 33*m**2 + 11*m - 26. Let r(f) = 33*f**3 + 6*f**2 - 2*f + 5. What is 2*g(n) + 11*r(n)?\nAnswer: 31*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -6*h + 4*h + 10 + 3*h. Let o be s(-6). Differentiate 0*t**2 + 0*t**2 + o + 0 + 3*t**3 with respect to t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6166 - 1038?\nAnswer: -7215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/71, 12, -4\/267?\nAnswer: -4\/267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of -5*z**3\/3 + 2. Factor s(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p + 3. Suppose 3*m + 4*v - 27 = 0, m + 3 = -2*v + 14. Is t(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qxq when three letters picked without replacement from qqqqqxqqqqqqq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of 0*k**4 - 1\/60*k**5 + 7 + 0*k**3 + 0*k - 4*k**2. Let l(x) = -22*x**2 - 2. Determine s(l(j)).\nAnswer: -484*j**4 - 88*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 27*j + 3. Give g(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-10)\/(-4)*8*(-7854)\/(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*l + 16. Solve l*f - 2*f - 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20901614 at most as big as 20901614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -2\/117  (b) 0.2  (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 w, and 2 a when four letters picked without replacement from {w: 2, e: 2, n: 3, a: 9, p: 1}.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*f**4*u + 1479*f**4 - 519*u wrt f?\nAnswer: 8*f**3*u + 5916*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22629, 22633, 22639, 22647, 22657, 22669?\nAnswer: 22683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5, -9, -15, -23, -33?\n\"Answer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.07448 + 0.02552. Let g = -16\/3 + 6. What is the nearest to -11 in -2, g, x, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34)\/(-51)*(0 + 9\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129064718.\nAnswer: 2, 31, 773, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2 = -2*g, -o - 9 = -3*g - 2. Suppose -q + 316 = g*q. Let u = 46 + -19. What is the remainder when q is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2994*w**6 - 30*w**5 + 2*w**2 + 2*w + 1587 wrt w.\nAnswer: -359280*w**3 - 1800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-76)\/(-10)*((-25)\/(-10) - 0). Suppose 19 = -y + h. Suppose y = 2*n - 8, 3*q - 8*n + 3*n + 11 = 0. Solve -5*z = -5*v + 30, -4*z - 3*v = -q*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -132, -192, -256, -324, -396, -472, -552?\n\"Answer: -2*u**2 - 54*u - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p = 952 - 768 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.023 + 0.323. Which is greater: -41 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4947 is divided by 648?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + v - 1. Let o(p) = 2*p**3 - p**2 + p + 1. Let m(t) = 9*t**3 - 2*t**2 + 8*t - 3. Let h(c) = -m(c) + 2*o(c). Calculate h(f) + 6*r(f).\nAnswer: f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d*d**(-12)*d**17 assuming d is positive.\nAnswer: d**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 11. Let i be j(-11). Find the second derivative of i*k - 7*k - 2*k**5 - 19*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -114727 (base 10) to base 5\nAnswer: -12132402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*x, -11 = -i - i + 5*x. Solve -3*n + i*n = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1375, -2746, -4119, -5494, -6871?\nAnswer: -8250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -4*y. Let t be p(-6). Let w be (t\/(-80))\/((-1)\/(-2)). Is -1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -34 - -28. Let a be (-55)\/j - 8\/48. Find the third derivative of -a*t + 13*t**2 + 3*t + 6*t**6 + 6*t wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 1:37 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -6, 1 in decreasing order.\nAnswer: 4, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 12. Suppose i*s = 52 + 28. Calculate the greatest common divisor of s and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**2 + 13*f + 10. Determine v(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21021 - -1502?\nAnswer: 22523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -344*n + 349*n + 5*v, -3*n - v - 16 = 0. Let r be 2\/(-4) - (-7)\/(-2). Sort -2, r, n in ascending order.\nAnswer: n, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -893*d + 440*d + 442*d = -5577. What is the remainder when d is divided by 98?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, m: 2, z: 3, f: 2, y: 2, t: 6}. What is prob of sequence xf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 41 + 81 = 0. Solve -4*p + y = -2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 = 2*f + 71. Suppose 0 = -5*k - 2*o - 260, -16 = 2*k + 4*o + f. Let h = 139 + k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70 (base 9) in base 5?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(363)*3)\/sqrt(11))\/((-1*sqrt(15))\/sqrt(5)))**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20.0976 + -18730.8976. What is g rounded to the nearest one hundred?\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 567 - 3*v**3 - 567.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 653244 is divided by 101.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/5, 2\/3, -90, -17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-3 + 1760\/587) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-1)\/((-5)\/654) + 13\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -21, -19, -7, 21, 71, 149, 261?\n\"Answer: y**3 - y**2 - 2*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13207870 to the nearest integer?\nAnswer: 3634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 19 = 2*d, 4*t - 46 = -4*d + 2*t. Suppose -235 = -3*a - 2*a - 2*l, 2*a = -l + 95. Calculate the remainder when a is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d + 3. Let g(y) = -y**3 + 5*y**2 - 5*y + 3. Let n be g(4). Let j be a(n). Solve 3*o = -c - 16, 36 = -5*o - j*c - 2*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 3.9, -14, 9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -2, -2\/5, 0.2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qiqqiiiqihqiiiiihiq.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(1\/3))\/(p**(-1)\/p)*((p\/(p*(p\/(p*p**(-1\/4)))\/p))\/p)**(-15\/2) assuming p is positive.\nAnswer: p**(109\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + 0*s**2 + 2*s**2 + (3 - 2 - 3)*(3*s + 2*s**2 - 3*s) + s + 29 - 77*s**2 + 76*s**2 + 42.\nAnswer: -4*s**2 + s + 71","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15537, 16288, 18295, 22176, 28549, 38032?\nAnswer: 51243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -20*c + 122. Suppose 0*x + 32 = 2*x. What is the smallest common multiple of x and z(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 13*r - 13. Let i be (-44)\/(-5) - (20\/25)\/(-4). Let a(n) = 6*n - 4 + 3*n - i + 4. What is -7*a(j) + 5*q(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000845018 rounded to seven decimal places?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 880.225779 to zero decimal places.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-6)*(8\/(-144) + (-24)\/336)\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1)\/(-25 - (-154652)\/6187) is divided by 152?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**4 + 10*i**2 - 3*i. Let x = -21 + 18. Let o(n) = -3*n**4 - 19*n**2 + 5*n. Let g(v) = x*o(v) - 5*c(v). What is the third derivative of g(l) wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3158453?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(18\/10)*-3. Solve 0 = -u*o + 13 + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.08, -2\/9, 50, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6 and -6.1699.\nAnswer: 37.0194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2300 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 13*y + 13. Calculate o(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1593 - 677. Suppose 0 = 8*o - 3*o - 2190. Suppose 2*x = h + o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1660230 by 553410.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9392, -118, -4, 3 in descending order.\nAnswer: 3, -4, -118, -9392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 28*h**2 - 3*h - 2. Let g be n(2). Suppose -27 = -z + g. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-294)\/(-546))\/(9*6\/117)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 20 = -3*r, 5*r - 4*j - 1 = 35. Suppose -r*x + 13 = -n - 2, -5*n + 4*x = -5. Let a = -3 + 3. Solve a = -n*z + 4*s - 3, s + 3*s = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 6*s**3 + s**2 + 8*s + 7. Let n(w) = -6*w**3 - w**2 - 7*w - 6. Let k(y) = -5*b(y) - 6*n(y). Give k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3232000 (base 4) in base 11?\nAnswer: -10498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 24178 (base 14) to base 7\nAnswer: 514611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91247?\nAnswer: 13, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + (-14 - (-18 + -15))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) + 4 + sqrt(1584)*1 + 5)*-3 + (-4 + sqrt(1584) + -3 + sqrt(1584) + 3)*-2)**2.\nAnswer: 4560*sqrt(11) + 158761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/1024 and -117\/3200.\nAnswer: 25600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3501*0.7\nAnswer: 2450.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*n - 3*r - 38, 4*n + 2*r + 28 = 0. Let p be 2*((-3)\/n)\/(-3). Let l(t) = -t - 9. Let s be l(-4). Sort 2, s, p in decreasing order.\nAnswer: 2, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101772006.\nAnswer: 2, 3, 7, 659, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -5, -1\/6, -0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-3))\/(((-20)\/3)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37783*a**4 + 2213*a**3 - 8108*a**2 - 15367.\nAnswer: -906792*a + 13278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15071 is divided by 171.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -307, -1252, -2837, -5068, -7951?\nAnswer: -11492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 7 + 68610*k - 5.\nAnswer: 68610*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:19 AM and 5:21 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-124)\/(-10) - (-10)\/(-25). Let v be 62\/14 + c\/(-4). Suppose -22\/7*i**2 + 8\/7 - 26\/7*i**3 + 16\/7*i + v*i**5 + 2*i**4 = 0. What is i?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -4453.\nAnswer: -1\/4453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*m - 239 + 329 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nt when two letters picked without replacement from njtnjjncsncnjcc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 - 2 = -r. What is the smallest common multiple of (428\/(-18))\/(-2) - 157\/(-1413) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/4324040 and 5\/432404.\nAnswer: 4324040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 2*v**2 - 35*v**3 + 1 - 5*v**2 - 46*v**3 - 2*v**2 as z*v**2 + d*v + j*v**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -66*a**2 - 80*a - 3. Let w = 72 + -75. Let s(f) = 67*f**2 + 81*f + 2. Let n(i) = w*s(i) - 2*x(i). What is the second derivative of n(z) wrt z?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -11, -27, -39, -41, -27, 9?\n\"Answer: f**3 - 4*f**2 - 11*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1537 smaller than 1538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 - 7*l**2 + 7*l - 2. Calculate o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, q: 3}. What is prob of sequence qaqa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 8*f - 5. Determine m(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4632, 9239, 13842, 18441, 23036, 27627, 32214?\n\"Answer: -2*q**2 + 4613*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*g**2 + 2674*g - 2674*g - 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*(8\/(-3) + 3). Suppose -u = -q*u. Suppose -4*m = -3*j + 84, -2*j - 3*m = -u*m - 56. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2 + 2*d**4 + (3*d - 6 + 6)*(0*d**3 + 5*d**3 - d**3) - 7*d**4 + 12*d**4 + 5*d**4 to l + o*d**4 + b*d + f*d**2 + c*d**3 and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -2*v - 11. Let u(h) = -h - 4. Let c(g) = -4*t(g) + 11*u(g). Let d(n) be the third derivative of n**5\/12 - 8*n**2. What is c(d(a))?\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 28?  (a) -0.5  (b) -4.7  (c) 5\/2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -51423625 + 3219*k**3 + 51423625 + 185*k**2 - 185*k. Let h(c) = -35*c**3 - 2*c**2 + 2*c. What is 185*h(g) + 2*m(g)?\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - n + 1 - 6*n - 4 + 4 + (-3 + 1 - 1)*(2*n + 0*n - 3*n))*(-14 - 13 + 21).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4026*x + 18408 = -65084 - 105034 - 81216 for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.010238526 - 0.063.\nAnswer: -0.073238526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**5\/4 - 932011*a**4\/4 + 217161592035*a**3\/4 - 217160660025*a**2\/4 = 0 for a.\nAnswer: 0, 1, 466005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*s**2 - 42*s + 19*s + 25*s - 43 + 8*s**2 wrt s.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27.56227 to 2 dps.\nAnswer: 27.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/5, 1\/5.\nAnswer: -5, -1\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-72)\/(-15))\/((-2)\/(-10)). What is the common denominator of 53\/4 and 1 - ((-244)\/h - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1206212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 9\/2*36\/54.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*o = 43 - 268 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1385bad0 - 3?\nAnswer: 1385bacc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - 4)\/1 + (3 - -1). Suppose -5 = -2*l - j*p + 4*p, -7 = -l - p. What is o in -16*o**l - 339*o**3 + 367*o**3 - 16*o**5 - 3*o**2 - 5*o**2 = 0?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -452 by -4.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 740, -3, 0.1?\nAnswer: 740","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 309fe (base 16) in base 4?\nAnswer: 300213332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 200)*829*-1. Suppose 5*n = 5*f - 390175 - a, -4*n + f - 444774 = 0. Let b = -807 + n. Round b to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34189, -34217, -34275, -34381, -34553, -34809?\nAnswer: -35167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.2  (b) 2  (c) -0.4  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -2*r + 4*r. Let z = r - -57. Suppose -z = -4*l + 2*n, -2*n + 3*n = l - 8. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -4*z**2 + 82*z - 58. Let h be b(17). Calculate the highest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12617.\nAnswer: 11, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15805582?\nAnswer: 2, 13, 41, 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 - 76084750*p - 152169520.\nAnswer: 5*(p - 15216952)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 222193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/4323 and -6\/15851?\nAnswer: 47553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -93 - 22a00?\nAnswer: -22a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*p - 3*x + 7*x, -5*x + 29 = -4*p. Let u(k) be the first derivative of k**2\/2 + 10*k + 8. Let c be u(-15). Is p equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of -13*j**4\/12 + 2*j**2. Does 11 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 645907 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 4*q**2 + 1. Let g be i(-4). Let m be 1\/g - 1 - -116. Let t = m - 23. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - z - 22 = 0, -2*z - 35 = -10*y + 5*y. Let g = -21 + 24. Let m be (-4)\/g + (-65)\/(-15). Solve 0 = 3*p - 0*v - 3*v - y, m*p = v + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 15*l + 5*l. What is the biggest value in -3\/5, 4\/7, -1\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 9*i**4 + 376*i**3 - 382*i**2 + 128*i - 659. Factor t(s).\nAnswer: 4*(s + 32)*(3*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1035)\/(-95) - ((-246)\/(-16359))\/(-4 + 27\/7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1*41\/(-48) - 51\/(6120\/100)\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 j when two letters picked without replacement from {k: 1, j: 1, n: 1, h: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 421434 - 2203422?\nAnswer: -1231433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-76)*(-9)\/(-7 - -16)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*i = 5*b + 97*i + 2, 5*b = -3*i - 34 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l + 18. Let a be w(-8). Suppose -b - a*b + 18 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 48 - 28 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2548, 2549, 2550, 2551?\n\"Answer: m + 2547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -5, 22, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -1\/4, 1\/3, 23, -4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -943.7794 + 944. What is z rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -15 + 63 - 14 - 4*m - 13 - 12. Give c(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (79\/68888)\/(1\/10). Let s = k - -26\/109. Factor -5\/4*a - 1\/4*a**2 + s*a**3 - 3\/4.\nAnswer: (a - 3)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7335072 is divided by 621?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.38 and 17328.398?\nAnswer: 6584.79124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 508437 divided by 9?\nAnswer: 56493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 2*t**2 + t. Let x be b(3). What is the tens digit of 3\/((-36)\/94)*x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, t: 4, a: 6, d: 3}. Give prob of picking 1 a and 1 d.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2483 - 2487. Let d(l) be the first derivative of -l**4\/4 - l**3 + 3*l**2\/2 + 4*l + 1. Give d(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -2*c - 24. Let k(h) = 3*h**2 - c*h + 68 - 28 - 18*h. Let b(f) = -20*f**2 + 280*f - 260. Let p(r) = -5*b(r) - 32*k(r). Factor p(x).\nAnswer: 4*(x - 5)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12677 - 3?\nAnswer: -12702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**4)**(-32)*((z\/z**(2\/13)*z)\/z)**(-17) assuming z is positive.\nAnswer: z**(-1851\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*u - 5. Suppose 4*n + 11105 - 2604 = 5*h, u*n - 3 = 0. Suppose 2*j = h + 2497. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 6*r**2. Let q(s) = 4611767*s**2. What is q(k(i))?\nAnswer: 166023612*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 0.07, -169, 0.021?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 j, and 1 o when three letters picked without replacement from vjojeo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010100110 (base 2) in base 10?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -15 + 88*f + 25 - 17 - 85*f. Let l be k(4). Let r be (4\/(-2))\/(-7 + 1). Which is the nearest to 1\/3?  (a) 0  (b) l  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*p**5 - 7*p**5 + 10*p**5 + (2*p**2 + 2 - 2)*(0*p**3 + 0*p**3 - p**3).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -169260430 divided by 33852086\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**5\/6 + 25*m**4\/8 + 35*m**3\/6 - 2*m**2 + 2*m. Factor g(t).\nAnswer: 5*(t + 7)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 38 = -2*v, v - 4 = 4*a + 5. What is the common denominator of -21\/20 and (-190)\/(-8)*10\/v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) -3\/4  (c) -1\/21  (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.01  (b) -72265  (c) -0.5  (d) 0.3  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13048 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.058 - 0.142. What is the smallest value in 1\/8, j, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 - -41. Suppose -s = -3*t + 8. Suppose 2*g = t, n - 19 = 2*g - 3*g. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -8193, -13175, -18165, -23163?\n\"Answer: -4*k**2 - 4970*k - 3219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8125\/4 - -2032. Let x be (-2)\/4*4\/(-5). What is the second smallest value in -1, -3\/7, x, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22194 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1849, 1, 4 in descending order.\nAnswer: 4, 1, -3, -1849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2365493347 to the power of 1\/2, to the nearest integer?\nAnswer: 48636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.03 + 0.03. Let d be (-7)\/(-4)*(-10)\/5 + (-43)\/86. Sort d, r, -0.2 in ascending order.\nAnswer: d, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30*v + 30*v - 9*v**2 + (-2*v + 2*v - 3*v)*(3*v - 3*v - v) + (v**2 + v**2 + 0*v**2)*(3 - 1 - 4) as i*v**2 + t + c*v and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -1 - (-3 - 2). Suppose h = -b*s - 0*s - 5, -2*s = -2*h + 40. Let z = -41 + 81. Solve -h + z = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 13) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 609621845 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (-6 + (-94 - -103)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/15*(3 + 2). Let s(t) = -t**2 + t - 3. Suppose 0 = -5*w - 1 + 21. Let h(z) = -2 + 3 - w + 4. Calculate r*s(b) - 5*h(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w**(-22)\/w))\/w)**(-2\/23))**18 assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.05 - -0.02. Let s = -523.83 - -524. Let k = m - s. Put 1, -3, k in ascending order.\nAnswer: -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1563 - 36?\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-224)\/(-24))\/(-14)*((-168)\/(-245))\/(-8)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52 - 53. Let y = h - -106. Let r = -0.03 - 0.47. What is the nearest to -0.1 in r, y, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45 - 33. Calculate the highest common factor of o and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 232851 and -22087?\nAnswer: 254938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 417457 - 417456.8999906. Let m = k - 0.1. What is m rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 z when four letters picked without replacement from juztjduzjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3 - (-78)\/(-28))\/((-93)\/124). Let m = -0.02 - -4.02. Let u = -4.2 + m. What is the nearest to v in u, 0.3, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -39684345?\nAnswer: -2\/39684345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 8. Let l(f) = f. Let h be l(w). Let n(b) = -18*b. Let i be n(h). What is the highest common factor of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-180)\/14*21\/(-3). Suppose 9*d - k = 8*d. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242653622?\nAnswer: 2, 37, 877, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -71118, -71119, -71120?\n\"Answer: -m - 71117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 47747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c + 3*c - c)*(-6*c - 41*c + 436 - 440).\nAnswer: 94*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 8 + -3. Let m be 1\/(356\/472*-4 + 3). Let o = m + 62. Which is the nearest to -1\/2?  (a) o  (b) 2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14264*r**3*v**2 + 8*r**3*v - r**3 + 501*r**2*v**2 + r**2*v + 12*r**2 + 2*r*v + 22228*r - 29*v**2 wrt v?\nAnswer: -28528*r**3 + 1002*r**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6277 (base 8) to base 2.\nAnswer: 110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30411000100 - 0?\nAnswer: 30411000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the first derivative of -27\/2*a**2 + 0*a**4 + 1 + 0*a - 1\/12*a**5 + 2*a**3. Let p(y) be the second derivative of b(y). Differentiate p(s) wrt s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 - -56. Let v = -26 + z. Let o = -38.02 - -38. Put o, v, 0.2 in descending order.\nAnswer: v, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8254593 or -8254585?\nAnswer: -8254585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 12:41 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 207 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 + 40 = 22*q. Solve 3*t + 13 = -q*b, b - 14 = 5*t - 0*b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q - 49 - 31 = 0 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 76  (b) -2\/11  (c) -1  (d) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -98916 (base 12) to base 8\nAnswer: -612042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.00298 and 2.9?\nAnswer: 2.90298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31534.999907713 + 31535. Round o to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 3, -0.076, -1\/8, -20?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 9 = 19. Calculate the remainder when 41 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -106*r - 211. Let u be l(-2). Let f = 150\/133 + -16\/19. What is the nearest to u in -1, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3257 = 8553. Let b = m + -9251\/7. Calculate the common denominator of 37\/5 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yycy. Give prob of sequence ycyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18180.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnxnnnxnnnxxnx. What is prob of picking 3 n?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -68, -1.\nAnswer: -68, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/7 + 28\/245. Let z be 0\/(-1) + 6\/33. What is the nearest to -0.1 in z, v, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.089  (b) 1\/3  (c) -0.577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20.047 + 0.047. Let x = t + 16. Let b = 4 + x. What is the closest to b in 5, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zbxwjbbxwxjjbbbxnb. Give prob of sequence nz.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -468993, -468991, -468989?\nAnswer: -468987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxqx when four letters picked without replacement from xkxqx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9975.53 - 9880. What is b rounded to zero decimal places?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -3*c - 24, -m - 3 = -6*m - 3*c. Suppose -11 = -m*j + 1. Let y(w) = 2*w + 1. Is y(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 451 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/2620 and 37\/1394.\nAnswer: 1826140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -318*x**3 + 143*x**3 + 145*x**3.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from jjjwvvjjvw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 674. Suppose -f + 439 = -q. List the prime factors of f.\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - 2*c - c)*(-2 + 2 + 2) + 3*c - 3*c - 2*c - 2*c - 8*c + 3*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n + 13*n + 10 = 0. Let w(o) = -5*o**2 + 4*o + 4*o**3 - 12*o**3 + 9*o**3 + n. What is w(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3171, 3000, 2717, 2322, 1815, 1196?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 + (-2 - 18) - -7) + (12 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 9, m: 3}. Give prob of sequence mgmg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9556023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 19. Let m(u) = 29 - 10 - 3*u**2 - 2*u**2 - 18 + 9*u - u**2 + 7*u**2. Determine m(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to 2\/1751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-3)*16\/(-2)*(-97)\/(-97)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20771 is divided by 277.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.16 + -0.21. Is s less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -5*o - 1539. Calculate l(-106).\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c - 6. Let l be (-4)\/40*-2 + (-39)\/(-5). Give p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 - 8*u**2 - 8*u - 8. Let s be y(-7). Is -7\/4 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 75 by -68.\nAnswer: -75\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -2)\/((-6)\/21). Let y(i) = -10*i - 8. Does 19 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 3*t**2 - 3*t + 7. Let g(s) = 5*s + 14 - s**2 + 8*s - 33. Let i be g(11). Let a be y(i). Is -1 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126052397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 1258 = 5*l + 2*s, 0 = -5*l + 2*s + 1264. Suppose -180 = -3*t + l. Find the common denominator of 4\/(-6) - 327\/t and -9\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 9*x**2 + 3. Let f be t(-9). Is 1\/1 - f*-106 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 622969697.\nAnswer: 7, 23, 83, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 4481*v**2 + 14*v - 19. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o, 1 a, and 1 j when four letters picked without replacement from aooaooossojsaojoo.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 17*q**2 + 6*q - 1. Let n(m) = -m**3 + 18*m**2 + 7*m - 1. Give 6*n(k) - 7*z(k).\nAnswer: k**3 - 11*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11 and 31?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2459827 is divided by 385?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 622651 is divided by 965.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317068160.\nAnswer: 2, 5, 491, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1504 + 2682. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 64\/8 - (-3 - 2). Suppose 0 = -14*t - m*t. Solve -5*n - 20 = t, -k - 4*n - 2 = 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**4 - 3*u**4 + 3*u**4 + ((3 - 3 - 2*u)*(1 + 0 + 1) - 4*u + 3*u - u)*(648*u**3 - 937*u**2 + 1840*u**2 - 909*u**2) + 4*u**2 - u**4 - 4*u**2.\nAnswer: -3887*u**4 + 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1406419859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-15))\/((-978)\/(-815)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v - 4. Let y(c) = -5*c - 8. Let l(q) = -8*w(q) + 5*y(q). Determine l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7011 + 1736. Let n = -5275.6366 - b. Let y = -0.63 - n. Round y to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 18 = -4*s, -13*s + d + 42 = -34. Let p(h) = -10*h**3 - 7*h**2 + 9. Let k(u) = 9*u**3 + 6*u**2 - 8. What is s*p(w) + 7*k(w)?\nAnswer: 3*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8\/7 + (-3 - -2). Let o be (-12)\/(-9) - (-2)\/(-6). Let y = -2 + o. Sort a, y, 6\/5 in descending order.\nAnswer: 6\/5, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -4280, -1, 18, -4, 0.3, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -2*z**2 + 1660*z - 344450 = 0?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 9) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - -3*((sqrt(68) - (4*sqrt(68) + sqrt(68)) - sqrt(68)) + sqrt(68)) - sqrt(68))\/((sqrt(24)*4)\/sqrt(6)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/8 + 42\/8. Suppose n = -a - 2*a + 64, 3*a = 9. Suppose f + n = 2*f. What is the highest common factor of f and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 12. Solve 4 = -x*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-13)*t*t**(-20)*t)\/(t**(-15)\/t**(12\/5)) assuming t is positive.\nAnswer: t**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.146 - 2026901113?\nAnswer: -2026901125.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (((-8)\/(-2))\/(-2))\/5. Which is the second biggest value?  (a) q  (b) -1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29*a - 81*a + 0*a - 125*a to the form f*a + i and give f.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0006402 rounded to 5 dps?\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5851.29 centuries?\nAnswer: 585.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 32*j + 157 - 125 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 4*n = 8*n - 17, 5*n = 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*v + 10622517 = 10653433 for v.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -5.01. Let n = s - -13.01. Let q = -8 + n. What is the smallest value in q, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 151*s + 1050. Give v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 4*b + 5. Let t(j) = 2*j**2 - 5*j + 6. Let y(v) = 3*f(v) - 2*t(v). Let m be ((-6)\/3 + 4)*-2. Determine y(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/(-14)*(-16)\/(-6). Let a(j) = -j**3 + 6*j**2 - 3*j - 5. Let m be a(x). Let q be 96\/m - (-4)\/(-10). Solve -q = w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/30 + 517\/(-165). Is g at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17947 (base 10) in base 6?\nAnswer: -215031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163657?\nAnswer: 13, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minus 703?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + k - 2 = 0, 0 = 3*g - 2*k + 4*k - 3. Let b be 1 + (-2 - g - -3). Suppose f + 2*x = 3, -b*x + 7 = 16. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 631*r + 17. Let f(t) = 2523*t + 76. Calculate 2*f(p) - 9*z(p).\nAnswer: -633*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -179\/91560 and -137\/420?\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 84*x - 3108. Calculate u(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, e: 13}. Give prob of picking 1 e and 3 x.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 10:47 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*r**4 + 385*r**3 - 1 + r**2 + 394*r**3 - 779*r**3 to the form y*r**3 + a*r**4 + s*r**2 + c*r + h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -12*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.11 + 1.11. Let h = 2.5 - 2. Let d = 0 + 0.2. Which is the closest to 0.2?  (a) d  (b) r  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**3 - 7*t**2. Suppose 4*w = 3*j + 3, j - 12 = 2*j - 5*w. Let m(r) = -r**2 - 3*r**2 + r**2 - r**j + 0*r**2. Determine 7*m(a) - 3*p(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 12:36 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 43*d - 43*d - d**2. Let j(m) = 31*m. Determine j(z(l)).\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230750?\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 600, 1189, 1768, 2331, 2872, 3385?\nAnswer: 3864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -223 times -0.209\nAnswer: 46.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18551 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -7*t**2 + 5*t - 6. Let q be r(4). Let w = 79 + q. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 5. Let c be ((-154)\/(-55))\/((-4)\/(-10)). Calculate b(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -32. Let j be ((-84)\/63)\/(q\/54). What are the prime factors of (j\/(-10))\/((-1818)\/300 + 6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -41587160206530?\nAnswer: -41587160206527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a + 2 + 0 - 3. Let j be q(4). Let s = -4 - -6. Solve -s*b = b - j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 9998560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + p**2 + 2*p + 82. Let w be u(0). What is the highest common divisor of w and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**4 - 20*b**4 - 77196 + 77165 + 144*b**4 - 6*b wrt b.\nAnswer: 1476*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1711 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -5. Let n = 6 + h. Put 0.2, 1, n in ascending order.\nAnswer: n, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 70 or 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 168.7*-9\nAnswer: -1518.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2413322131 + 3?\nAnswer: 2413322134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -n**8\/840 + n**4\/12 + n**3\/3 + 3*n**2. Let g(h) be the first derivative of w(h). Differentiate g(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/3)*w)**(-29)*(w**(-4)\/w)\/w**(-2)*(w*w**(-1\/2)*w**(-5)\/w)**(-1\/12) assuming w is positive.\nAnswer: w**(-407\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 133372052?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10032\/30932*(-4)\/(-24).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -99.47 and 1?\nAnswer: -99.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -46*33\/(-6)*13. Suppose 525 = 4*d + l. Round d to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 131707*n**4 + 123620*n wrt n?\nAnswer: 1580484*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39*t + 20*t - 159*t**4 + 17*t)*(-4 + 2 + 1)*(4 - 4 - 2*t).\nAnswer: -318*t**5 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.2 to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -350 = -5*v + 2*z - 7*z, 5*v - z = -68*v + 5034 + 2 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, b: 2, g: 3, z: 2, w: 1, d: 2}. Give prob of picking 2 g and 1 x.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = -2*i. Is 4 a factor of (i + 1)\/(9\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a - 28. Let l be y(32). Suppose -c + 0 = h + l, -6 = 5*h - 2*c. Sort 6, 2, -4, h in increasing order.\nAnswer: -4, h, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67097.\nAnswer: 229, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0545913 micrometers in millimeters?\nAnswer: 0.0000545913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -155045 + 328974. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i = -67 + 19. Factor 0 + 0*k + k**3 - 1\/2*k**2 - 1\/2*k**i.\nAnswer: -k**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 5*y + 1)*(2517 + 210*y**2 - 2517) to the form r + g*y + u*y**2 + a*y**3 and give a.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 20 - 14 = 0. Let b(a) = -a**3 - a + 1. Give b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*56\/(-20)*-5. Let x be (-4)\/(-14) - (-52)\/v. Suppose -x*f - f = -165. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 17*i - 11. What is the units digit of d(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6 - 29a7383b?\nAnswer: -29a73835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 759475.3l in millilitres?\nAnswer: 759475300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the first derivative of v**2\/2 + 7*v + 1. Let j(u) = -2*u + 1. Let d be j(4). Let w be f(d). Solve -q + 3*q + 8 = w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**4\/6 - 7*n**3\/6 + n**2 + 204*n + 6. Let k(l) = 3*l**2 + 11*l - 3. Give 5*k(p) + 8*w(p).\nAnswer: -p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**2 - 3 + 3 + (3 + o**2 - 3)*(12 + 5 - 1) - 341*o**2 + 163*o**2 + 130*o**2 to the form x*o**2 + h*o + n and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 5*m - 14, 44 + 146 = 5*j - m. Calculate the remainder when 111 is divided by j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 7*q**3 - 155741*q**2 - 2226272*q - 623364 = 0.\nAnswer: -14, -2\/7, 22263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 - -2. Let j = p + -37. Calculate the remainder when 52 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3520 (base 11) in base 4?\nAnswer: -1020030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.75 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 - -0.1. Let t be 2 - ((-3)\/(-1) + -2). Suppose -6*v = -3*v + 5*j - 37, 0 = -2*v - 2*j + 18. Which is the nearest to f?  (a) 2  (b) t  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -304.36967 to zero dps.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1961.\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 39\/4*n**2 - 9\/2*n**3 - 5*n + 1\/4*n**4.\nAnswer: n*(n - 20)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 0 + 0)*(q + 3*q**2 - q) + 2*q**3 - 4*q**3 - 3*q**3 + 5*q**3 + q**3 + 3*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 + 26880*j - 643392.\nAnswer: -3*(j - 8936)*(j - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 114, 247, 388, 543, 718?\n\"Answer: v**3 - 2*v**2 + 132*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 74  (c) 50  (d) 0.3  (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1496104787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 237*l**2 + 995*l - 235814. Determine q(237).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 17 = -58, -i - 4*x - 40 - 25 = -10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.42, -0.1 in increasing order.\nAnswer: -0.1, 0, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 26406 (base 7) to base 11\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmnmmn. What is prob of sequence nmmn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/4, 35, 487?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 31\/6 in 0.5, 5, 0.1, 3066?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6508 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7069 - -7.\nAnswer: -7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -j**6\/360 + j**5\/160 + j**4\/96 + 16*j**3\/3 + 14. Let p(d) be the third derivative of z(d). Solve p(a) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -143*f**3 - 121*f**2 - 121*f - 242. Let t(i) = i**2 + i + 2. Calculate -4*r(v) - 484*t(v).\nAnswer: 572*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 - 1 + 4*s**2 - 49*s**2.\nAnswer: -45*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1206 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 (base 14) in base 10?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -1. Suppose -5*d = -m*d. List the prime factors of 12 + d + 1 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.558 - -0.558. Which is the nearest to 0?  (a) -1  (b) 3  (c) -4  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 2*n + 61*n)*(0 - 1 + 2) + (-4 + 2 + 4)*(-n - 4*n + 4*n).\nAnswer: 63*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(180) - (sqrt(180) + sqrt(180) + -1) - sqrt(180)) + -1)**2.\nAnswer: -72*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98123 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(10)*-2)\/((-3*sqrt(55))\/sqrt(11)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4481546327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 4. Let j be -1*2\/f*3. Let u = -13160 + 13156. Which is the second biggest value?  (a) 0.5  (b) j  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 16*n**2 + 15*n - 43. Calculate b(-17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7135, -7246, -7419, -7654, -7951, -8310?\n\"Answer: -31*z**2 - 18*z - 7086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43 + -41. Let x(v) = -17*v + 9*v + 3*v + 5 - 4*v**m. Let q = 146 - 145. Let n(z) = -z**2 - z + 1. Determine q*x(i) - 5*n(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -29. Let m = 21 + -11. Calculate the remainder when x is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1834 - 35692. Round v to the nearest one hundred.\nAnswer: -37500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 14. What is the units digit of 158\/p*(-9)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -508*w**2 - 2002*w + 116. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/(147\/(-6)). Let l = z - -103\/245. Which is the biggest value?  (a) l  (b) -5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 5*n - 32, 8 = -0*k + 4*k - 4*n. Suppose y - k = 4*y. Let q(s) = -s**2 - 6*s - 1. Let x be q(-6). Is x at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -4, -5210986 in ascending order.\nAnswer: -5210986, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 405 - 398. Solve 5*g - 15 = 5*a, -2*a - b = -3*g - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 - -66. Let q = 5.601 + -33.601. Let w = q + m. Put w, -0.5, 1\/7, 1 in descending order.\nAnswer: w, 1, 1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 820 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1263\/18 - 7085\/3270.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x - 10*x**2 - x**3 - 4*x**2 + 0*x - 6 - 2*x**2. Let v be n(-16). Solve 4*q = 6*q + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*l**3 + 90090*l**2 - 37871580*l + 4027758200 = 0. What is l?\nAnswer: 214, 17590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4830*y + 61349 + 35666 = 36646 - 70041 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjdcjttjjddjcjjjdtj. What is prob of sequence jtcd?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 260 and -0.3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(-1*sqrt(7)))\/(sqrt(84)\/(sqrt(7)*-1)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -39*x**3 - x**2 + 3. Let h be q(2). Let i = -17 - h. Let d = i + -92. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166531?\nAnswer: 241, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p + 0*p + 2*p + (-2 - 1 + 2)*(2*p - 2 + 2) + 4 - 4 - p + 1 - p - 1 + (-1 + 2 + 3)*(3*p + 0*p - 4*p) + 16*p + 5*p + 0*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a**3*j + 14*a**2 - 3*a*j + 2*a - 1034*j - 2 with respect to a.\nAnswer: -6*a**2*j + 28*a - 3*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4*h + 50, -92 = -5*v - 0*v - h. Suppose -l - v = -25. Solve p + 4*w + 6 = 3*p, l = 2*p + 3*w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 42 - 61. Let o = y - -15. Let m be 3\/(0 + 5 + -1). Which is the closest to 1?  (a) m  (b) -1  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 544672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -111, -304, -659, -1230, -2071?\nAnswer: -3236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.45197 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 + -4 + -16 + (-11 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 11:49 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 2928, -3, 8, 3, -32, 4, -1 in descending order.\nAnswer: 2928, 8, 4, 3, -1, -3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -223, -896, -2025, -3616, -5675, -8208?\n\"Answer: -u**3 - 222*u**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from ffnnffnnnfnnu.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/7, 19, 7, -0.041, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 16*g + 4. Let k be f(16). Suppose 23 + 1 = k*y. What is the least common multiple of y and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-5))\/a**(-2\/5)*(a\/(a\/a**(2\/5)))**(-4) assuming a is positive.\nAnswer: a**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -90, -196, -342, -528, -754, -1020?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13 * -7.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-265)\/20 + 1\/4. Let f = -4 - h. Suppose -5*g = -194 + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-48)\/(-30) - (-4)\/10. Let h(r) = 3*r - 2. Let y be h(t). Suppose y*u = 5*p - 193, u - 73 = -2*p + 4*u. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 0*b**3 + 2\/3*b**4 - 1\/2*b**2 + 6 - 20*b. Let n(o) be the first derivative of p(o). Give n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/50 + (-24)\/(-5). Let -5 - 25*l + m*l**2 + 25*l = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -531 = -2*h + 5*c, 0 = -c + 3 - 6. Let r = h + -94. Let t = -19 + r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 733492.5 grams in nanograms?\nAnswer: 733492500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-296)\/3)\/((-18)\/2592). Is d\/112 + 2\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*sqrt(88)*-2 - sqrt(88)) + (5*1*sqrt(88) - sqrt(88)))\/((sqrt(392) + sqrt(392)*-1)*-1 + -5*(sqrt(392)*-2 + sqrt(392))))**2.\nAnswer: 891\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5592 a factor of 148143264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -1  (c) 18  (d) 1\/2  (e) -0.2  (f) -3  (g) -0.097\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24\/16375 + 803846\/10168875. Calculate the common denominator of -37\/189 and s.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285 != -4\/277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0.07  (b) 2\/13  (c) -1  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12200 + 101020102011?\nAnswer: 101020012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.338921 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (176\/(-6) + 2)\/(2\/(-3)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p + 8. Let k(x) = 2*x - 7 + 2*x - 3*x. Let o(m) = -7*k(m) - 6*u(m). Let l be (5\/2 + -1)\/(3\/2). Let z(y) = 1. Determine l*o(f) + z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.1, 5, 65, -70755?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165970 and 4550?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1683520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*j = 6*j + 280 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - v = -0*v + 35, -v = 5*u - 105. Let x be 6\/(-5)*(-50)\/u. Is (-1 + x)\/(3\/60) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = a + 1133 + 468, 5*a - 2*f + 8059 = 0. Let y = a + 2388. What are the prime factors of y?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1365 = -41*g + 48*g. What are the prime factors of g?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 - ((-5 - -12) + -5) - -104367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3337*i**3 + 13*i**2 - 35*i - 4. What is the thousands digit of h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 627*p**2 + 33*p + 8. Let h(w) = -1882*w**2 - 106*w - 26. Determine 5*h(z) + 16*r(z).\nAnswer: 622*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-15)\/4*-1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -429, -858, -1287, -1716, -2145?\n\"Answer: -429*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 + 29. Let b = n + -9. List the prime factors of 2\/(-4)*(-270)\/b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 349 = y - 2*x + 318, -4*y = -x - 89. Let j be 2\/(-10) + (-78)\/(-15). Suppose j*l - y = -16. Solve k - 2*k + 2 = 5*r, 5*r + 2*k + l = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-6)\/4)\/((-7)\/14). Let x be 6 - (9\/a + -5). What are the prime factors of (20\/x)\/((-2)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6576 + s - 6576.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 377 + -371. Suppose -5*w + 18 + 6 = 2*s, -4*s + 5*w - 12 = 0. Suppose 989 = 4*m + 3*n, -s*m - a*n + 4*n = -492. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -95, -1559, -210 in ascending order.\nAnswer: -1559, -210, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-212 - -217 - (-1 + -1)) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-21))\/(10\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -4*g - 21, 6 = 3*f - f - g. Let t = f - -1. Solve -t*x = -2*n + 16, 2*x + 5*n - 12 = 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.024 - 73.024. Let d = -69 - p. What is the nearest to -1\/3 in d, 1\/5, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - ((-4452)\/(-656))\/(33\/(-44)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -192 - 10*f**4 - 190 + 377 with respect to f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2194, -4\/7, 3 in decreasing order.\nAnswer: 3, -0.2194, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 457*u**3 + 5*u**2 - 5*u - 5. Let r(l) = 685*l**3 + 7*l**2 - 7*l - 7. Calculate 5*r(a) - 7*s(a).\nAnswer: 226*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 260 and 1213615.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 2)*(-4*k**4 + 11361735 - 11361735 - 101*k).\nAnswer: -4*k**4 - 101*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 578851*d. Let g be o(3). Suppose -4*b + g = 216553. Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1011 + 1020 - ((-2 - (8 - 5)) + -40)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*b = 78*b + 6. Suppose -3*k - 27 - 27 = -2*y, -95 = 5*k - 5*y. Let q be k\/(-7) + 4\/(-14). Solve -b - q = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 - 40*d**2 + 309*d + 108. Let u be v(11). Let f = -21.7 - -23. Let p = -0.3 + f. What is the third biggest value in p, 0.03, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mllml. Give prob of picking 1 m and 3 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 52 = 164. Let y = c - -45. Calculate the remainder when 56 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -2)*33\/(-99) + (-1)\/3. Let d(c) be the second derivative of 1\/12*c**4 + g*c**3 + 0 - 1\/2*c**2 + 5*c - 11\/20*c**5. Give d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 4:02 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1155243 = -3*z + 296757. Suppose -z = -l - 3*l. Round l to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 5*y - 54. Suppose y = 2*r - 24. Suppose 2*m + 5*d = -r, -4*m + 3*m - 13 = 3*d. Is m at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uyyheuyuuohuyuuykyuy. What is prob of picking 1 k and 1 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from masmyqy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5 + -6)\/(2\/(-30)). Suppose -19*r + 84 = -t*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z\/(z**(-10)*z)))**(-13\/4)\/(z**20*z*z*z\/((z**(1\/7)\/z)\/z)*z))**37 assuming z is positive.\nAnswer: z**(3441\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 - (-1 + 0 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*g + 504 = -5*p + 849, p = -2*g + g + 21 + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, k: 3, l: 2, u: 3, y: 1}. Give prob of sequence msk.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1125, 11567, 28977, 53355?\nAnswer: 84701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354\/11*j + 100\/11 + 14\/11*j**2 = 0 for j.\nAnswer: 2\/7, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 1. What is x(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-8) - (-7)\/4. Suppose -5*f - 5*u = -285, -q*f + 3*u + 0*u = -114. Let v = -35 + f. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 683711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 AM and 6:42 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11952 is divided by 1355.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**3 + 4*b**2 + 4*b - 3. Let i be w(-5). Suppose 2*z = z + i. What is the common denominator of 21\/16 and -1 - (-2)\/(120\/z)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 16*r + 30. Let f be p(9). Suppose -3*y - 5*d + 223 = 0, 6*y - 3*d - f = 4*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 68*p + 5. Let w(q) = 10*q. Give g(w(o)).\nAnswer: 680*o + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*j - 4)*(-146*j + 3 + 148*j + 28*j**2 - 129*j**2).\nAnswer: 303*j**3 - 6*j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -7*t - 6. Let x(g) = 3*g + 3. Let j(i) = -2*f(i) - 5*x(i). Let q be j(-6). Suppose -15 + 6 = -q*u. Solve u + 0 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -53, -3\/2, -0.01, -0.4?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132.8583394853 plus 1?\nAnswer: 1133.8583394853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 9*d**2\/4 - 36649*d\/4 - 126449\/2 = 0?\nAnswer: -62\/9, 4079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1031636 is divided by 65.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*w - 5 = 22*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = m + 3*f, 2*m + m + f - 15 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32919397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*q - 8*x + 147, -111 = -4*q - x. Let t = 13 + 1. Let r = q - t. Is r > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-854)\/24*(-7136)\/(-12488)*6\/(-8).\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 5. Put -3\/5, -2, t in ascending order.\nAnswer: -2, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3454 is divided by 97.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -82, -182, -286, -394?\n\"Answer: -2*f**2 - 94*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i - 40. Give s(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 1 = 5. Let l be (6\/4 - 2)*-2. What are the prime factors of (l\/d)\/(1\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 + 2*p + 2. Let k be r(2). Let d be (k\/(-3))\/(9\/1944). Let t = -573\/4 + d. Which is the closest to 0?  (a) t  (b) 5\/3  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10412268087 rounded to the nearest 100000?\nAnswer: -10412300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*a + 12 = 16*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.31299847 - 0.313. Round u to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*p + 3*p**2 - 8*p)*(-4 + 3 - 2) + (-1 + 1 + 3*p)*(4*p + p - 2*p) - 32*p**2 + 9*p**2 - 11*p**2 as l*p**2 + g*p + c and give l.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 151 - -2?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4510 by 55.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 822766830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 687 is divided by 417.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.02578 or -162?\nAnswer: 0.02578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6137 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 2:12 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 1872\nAnswer: 1\/468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, -1509, 10, 4, 0.7, -4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 12*y - 10. Let m be r(12). Let p = m - -11. What is the least common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 11, 8, 15, 38?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6225076 is divided by 2074948?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 9*s - 12. Give q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42 - 3*j + j**2 - 3*j - 21 + j**3 + 30 to r*j**2 + s + n*j**3 + o*j and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -18.1958 and 130932.\nAnswer: 130913.8042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*y + 200, 3*i + 0*y + y - 120 = 0. Let f(t) = -t**3 - 6*t**2 + 178*t + 756. What is the lowest common multiple of i and f(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -371256*c**6 - 33775*c**2 wrt c.\nAnswer: -44550720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -583*w + 9065. Is n(0) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.4 plus -18?\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 445 = -5*b, 2*p + 350 = 4*b - 0*p. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3 + 5009228*k**2 + 40073776*k + 80147520.\nAnswer: (k + 4)**2*(k + 5009220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + -7 + 5 - -8. What is the highest common divisor of 438 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*x + 50*k - 51*k, -5*k + 1 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k**5 - 6220*k**4 + 216*k**3 + 336744*k**2 + 1344492*k + 1511460 = 0. What is k?\nAnswer: -1555, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 10:34 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 1361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2783 - 0.0659764656?\nAnswer: 2782.9340235344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3317, 4650, 5983, 7316, 8649?\n\"Answer: 1333*u + 1984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 572 is divided by -8 + (-8)\/((-168)\/(-35))*-93.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n\/(((n*n**(5\/8))\/n)\/n)*n**(-7)\/n*n)\/(((((n\/(n*n*n**21*n*n))\/n)\/n)\/n)\/n**(-2\/5)) assuming n is positive.\nAnswer: n**(959\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 3\/4, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1800 divided by -4?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11460624 and 1432578?\nAnswer: 11460624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2952 - -2992. Let l = -2 - -12. Calculate the highest common factor of v and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 211431 + -308631. Round b to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 12 = -f, 0 = -15*b - 4*b - 2*f - 64 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 0*k = -30. Suppose k*n - 6 = -i, 4*i - 4*n = n + 109. Suppose -i*o = -18*o - 18. Solve o*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1029 divided by -6.\nAnswer: 343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 9) in base 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-76)\/(-34))*(-129)\/(-516)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 406 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -83049\/533 - -3572\/41. Let n = c + 69. Determine g, given that 0 + 10\/13*g**3 - n*g**2 + 0*g + 14\/13*g**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -17*s**2 - s - 2. Let j be y(0). Let z be j*(-540 + 4)\/(-8). Sort -2, z, -5 in descending order.\nAnswer: -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 5*t + 388*t**2 - 774*t**2 - 35 + 387*t**2. Let o be u(-10). Suppose 4 = 2*w - 0*w. Solve -w*d = d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1404 and 8710?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 x when three letters picked without replacement from wgxeex?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3026 greater than or equal to -1.1327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 11110010001010001000 (base 2) to base 8\nAnswer: 3621210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of -n**3\/3 - n**2 + n. Suppose -5*x + 16 = 4*s, 3*s + 15 = 3*x - 0. What is the remainder when x is divided by k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24176\/79 + 306. Let s be (0 + -2)*(-2)\/(-6). What is the smallest value in r, s, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -405188, -405189, -405190, -405191, -405192?\n\"Answer: -l - 405187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of -o**8\/2240 + o**5\/20 + o**4\/24 + 3*o**2. Let v(g) be the second derivative of d(g). Find the first derivative of v(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 29\/6 of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40743635*i**3 + 616752*i?\nAnswer: 244461810*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 714 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*j - 16, 4*j = -0*o - 3*o + 6. Find the second derivative of 3*q**4 + 3*q + 39*q**3 - 39*q**j wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 12*k**2 - 9*k + 18. Let x be c(6). Suppose 0 = -12*a + 21*a - x. Solve 4*m = -m - a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 3) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 14 = h + 2*y, 17 = 2*h + y. Let m = 13 - h. Solve -m*g = -3*f - 1, f - 2*g = -f + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*i + 8, 2*i - 5 - 3 = -4*j. Suppose 3*z + i = 4*z. Solve 18 = -z*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from qfmimdm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00034092675 to 7 decimal places.\nAnswer: 0.0003409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/5 - 44323912*n**3\/5 + 65486978409312*n**2 - 806288993860941040352*n\/5 + 1612576677982668485728\/5.\nAnswer: 2*(n - 7387318)**3*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33 (base 6) to base 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2574909 hours to minutes.\nAnswer: 15.449454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.9 - 4. Which is the third biggest value?  (a) i  (b) 0  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q - 12. Suppose 0 = -4*m - 0*m - 24. Let h be i(m). Let y be ((-12)\/(-10))\/(h\/60). What is the highest common divisor of 20 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -21, -47, -4, -2 in decreasing order.\nAnswer: -2, -4, -5, -21, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2321013672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = m + 4*m. Let a(r) = -3*r**3 - 1 + 4*r - 3*r**3 + 3*r**2 - 3*r**3. Let k(z) = z**2 + z - 1. Let f(q) = -a(q) + 2*k(q). Calculate f(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*x + 3*x + 356 - 3*x - 31*x**4 - 399 wrt x.\nAnswer: -124*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 91*t - 13. List the prime factors of k(3).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*h**3*s + 91*h**3 - 1700*h*s + 17273*h + 11*s wrt s.\nAnswer: -8*h**3 - 1700*h + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85921, -343691, -773307, -1374769?\nAnswer: -2148077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -5*a**2 + 14*a - 5. Let x(d) = -4*d**2 + 14*d - 4. Let o(w) = 5*n(w) - 6*x(w). Let v(q) = q. Let j(b) = -o(b) + 5*v(b). Is j(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-64*j**2 - 73*j**2 + 42*j**2)*(15*j - 15*j - 3 - 2*j**2).\nAnswer: 190*j**4 + 285*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x, -4*r + x + 19 + 9 = 0. Suppose -r*h = -9*h + 40. Suppose -3*l + 5*c = -148, 2*l = -c + 26 + 90. What is the remainder when l is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p + 12. Let g(q) = 3*q**3 - q**2 - 3*q + 1. Let m be g(2). Let r be (-125)\/m + (-2)\/3. What are the prime factors of h(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 4*y**2)*(y + 3 + 0 + y)*(2*y + 0*y + 0*y).\nAnswer: -16*y**4 - 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x + 1. Let m(v) = -7*v - 8. Let t(i) = 0*i + 2*i - 6*i + 0*i - 4. Let d(u) = 3*m(u) - 5*t(u). Give -d(l) - 2*o(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -160\/13*t**3 - 240\/13*t**2 - 96\/13 + 32*t + 14\/13*t**5 + 66\/13*t**4 = 0.\nAnswer: -6, -2, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of -z**8\/840 - z**5\/40 - 2*z**3\/3 + 4*z**2. Let o(h) be the first derivative of b(h). Find the second derivative of o(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5794 in 0.42, -4, -0.4, -0.1, -1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 565 divided by -5\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssszzbsgzzzzsdggzgg. Give prob of picking 1 b, 1 d, and 2 s.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fh when two letters picked without replacement from otzhfthzhzzzzz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = 3*b, b + 0*b + 15 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0*k + 3*l - 7767 = 0, 4*l - 4669 = 3*k. Let o = -783 - k. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 8*k + 10. Let t(d) = d**3 + 12*d**2 - 14*d - 5. Let n be t(-13). Give m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - 15\/(-3) - -3. Suppose -31 = -3*n + p. Suppose -2*a + 3*v = 11 - 43, 2*a - 5*v = 40. Calculate the smallest common multiple of n and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -19*d + 1. Let g be k(-1). Let y(w) = w**2 - 3*w - 84. Let c be y(0). Calculate the common denominator of g\/c*102\/(-4) and 145\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 211997331 by -1701.\nAnswer: -124631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 - 58. Let j = 0 - -5. Suppose -k = 2*t + 4, -t - j*k - 7 = 4. Put t, -3, b in descending order.\nAnswer: b, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -667, -22 in descending order.\nAnswer: 3, 1, -22, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -81316, -17\/38 in decreasing order.\nAnswer: -2\/7, -17\/38, -81316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 8:38 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, 0.24, -2?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 4 + (7 - 17)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -7, 1, 21, 53?\n\"Answer: 6*b**2 - 10*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 3. Suppose w + 24 = 9*w. Solve -w*t - m = -16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -5*m**4\/14 + 2*m**3\/3 - 2*m**2\/7 - 2. Factor j(l).\nAnswer: -2*l*(l - 1)*(5*l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9461273 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - -4)\/(4 - 108\/28). Suppose -3*k - j - l = -2*k, -5*j = 2*k + 68. Let t = k + 28. Solve c - 3 + t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 99.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.15  (b) -3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12915 - -12704.43. Round n to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 + 11. Let t = -6 - r. Let f = t - 9.2. What is the third smallest value in 1, 0.2, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 5*m = -0*y - 14, 3*y + 4*m = 14. Let r(z) = -2*z + y - 3*z**2 + 5*z**2 - 7. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 112576175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 3 - 2)*(-1 + 1 + 2*m) + 2*m - 5*m + 4*m + 2 + m - 2)*(2*m + 3 - 4 - 4*m) + (50 - 3*m - 50)*(2*m + 2*m - 6*m) to x*m + o*m**2 + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2500*r**2 + 2436*r**2 - 4894*r**2.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -10100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 18, -7*i - n = -444 + 485 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 74.23 - 75.23. Let t(r) = -6*r - 1. Let h be t(-1). Sort h, 4, k in descending order.\nAnswer: h, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1421732.\nAnswer: 2, 13, 19, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.07*13.\nAnswer: 78.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 5094.\nAnswer: 5094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - 24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -271\/19 > -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 10 + -2 + 9 + -9 + 8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -84*w**3 + 327*w**2 + 36*w = 0.\nAnswer: -3\/28, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -43*i + 8. Let w be q(-2). Is (w\/4)\/((-3)\/(5*-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 832\/((-608)\/(-38)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (60\/9)\/(((-44)\/100560)\/(-11)). What is m rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -12582, -12587, -12596, -12609, -12626?\n\"Answer: -2*c**2 + c - 12581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 542*k - 56351. Calculate a(-141).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 183441 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (7 + -19 - (1 + (1 - -5)))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800805?\nAnswer: 3, 5, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-12)\/(-10))\/(27\/225). What is the greatest common factor of t and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i. Let c(j) be the first derivative of 8981*j**2\/2 + 3473. Determine c(k(p)).\nAnswer: -8981*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 3. Let j = 11 - i. Let q(u) = j*u + 5*u - 3*u - 4*u + 1. Give q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4 + 0*y**3 - 7*y**2 + 3*y**3 - 2*y**3 + 3*y. Suppose -5*m + 4*s = -26, 37*s - 32*s = 5. Give w(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36.2096 - -36.5095998. Let k = -7.7 + 8. Let s = r - k. What is s rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -124, 900, 3678, 9086, 18000, 31296, 49850, 74538?\n\"Answer: 146*p**3 + p**2 - p - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 139277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-286 + 525 - 239 - 1774*n**2)*(-6*n - 12 + 12).\nAnswer: 10644*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/4)\/f**(14\/5)*f**(-1\/10)*f\/f**(-7\/2))**(-9\/7) assuming f is positive.\nAnswer: f**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2 = 4*m, -4*t + 4 = -3*m + 4*m. Suppose a = -m*a + 3. Suppose -a*w + 25 = 4. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04578 - -1.85422. What is the biggest value in d, -9, -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04 - 5.04. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1756 - 12294\/7. Which is the biggest value?  (a) -5  (b) f  (c) 2\/1523\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -71024*n**4 + 526529*n.\nAnswer: -852288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g + 25*g = 102. Let d = 59 - -28. What is the remainder when d is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 121425487 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 1:46 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -10*q + 10. Let m be b(1). Let w be 1 - 2 - (-1)\/4. Is w < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2*b + 3 = 0, -2*b = 3*w + 9. Let h(i) = -20*i + 83*i - 15*i - 12*i - 38*i. Calculate h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 6 + 5 + 13*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2239783291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 906521 and 7259?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3680320 and 3922?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -211512 (base 6) to base 12.\nAnswer: -9b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + 4*u + 47, 2*u = -3*r - u - 45. Let t = 22 + r. What is the remainder when 42 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 - 82*j + 5536. What is k(-126)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p - 445 = -397 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 242 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -2\/3, -0.65, -11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 393872637 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41?  (a) 1  (b) -5\/6  (c) -5.29  (d) -2\/11  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 96\/(-64) + 104697\/6. Suppose 12*b = f - 4020. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201001011 (base 3) in base 14?\nAnswer: 50b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 5*h + 6 + 12*h - 7*h in the form g + l*h and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(275) - (-3 + -1 + sqrt(275))) + ((sqrt(275) + -1 + sqrt(275) - sqrt(275)) + sqrt(275) + sqrt(275) + -5 - (1*sqrt(275) + -3)))**2 + -4)*4.\nAnswer: 400*sqrt(11) + 4484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, 12750, -5, -9, 1 in ascending order.\nAnswer: -9, -7, -5, 1, 5, 12750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36537118 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3031429301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d. Let r(p) be the first derivative of 1 + 0*p + 0*p**2 - 2\/3*p**3. Determine g(r(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/9*(-171)\/76\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 887193\nAnswer: 266157.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 4\/15*t**2 - 34\/15*t**3 + 0*t.\nAnswer: -2*t**2*(17*t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**4\/3 + 4*v**3\/3 - 16*v**2\/3 - 16*v\/3 = 0. What is v?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -767?  (a) 2\/5  (b) -4  (c) 1.984  (d) -0.1  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.50769901 to four decimal places.\nAnswer: 0.5077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 8*i + 4. Give b(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3 + n**3 - 72*n + 65*n + 6*n**2 + 0*n**2. Let m be c(-7). Solve 0 - 1\/2*u**5 + 0*u + 0*u**m + 0*u**4 + 0*u**2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 4*b - 185. Let a(x) = -4*x**2 + 4*x + 4. Let g be a(-2). Let k be ((-18)\/10)\/(3\/g). What is the greatest common divisor of b and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 21*t**2 - 259*t - 9. Let g(a) = 34*a**2 - 389*a - 14. Determine 5*g(h) - 8*y(h).\nAnswer: 2*h**2 + 127*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/8)\/((-142)\/1136).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -4 + s + 4 - 2. Let k = -8 - -5. Calculate i(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.16 in -2, 0.2, -3, -6\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 966178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - ((8 - 16) + -18)) + -11 - 63.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2018*f - 6639 = 25649 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-11 + -36)\/((-4)\/(((-8)\/(-1))\/(-2))). Sort -5, -1, c in descending order.\nAnswer: -1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*v - 4*v. Suppose 3*s - 5*b + 4*b - 6 = 0, 4*s - b = 8. What is the greatest common factor of v and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -283992 + 418409. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8955 + 8958. Let q = -18.3 + 32. Let r = q + -13. What is the second smallest value in 0.2, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18.8 - -8.3. Let x = n + 12.5. Which is the closest to 2\/11?  (a) -4  (b) x  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 8*l - 9. Let m(x) = -x + 1. Let k(t) = -3*t + 3. Let i(s) = 6*k(s) - 17*m(s). Calculate -6*i(y) - v(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 375 (base 14) to base 5\nAnswer: 10231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -236 - s + 2*s**2 - 235 + 633 - 231 to the form t + x*s**2 + c*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 152554 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 21 + 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from skik. Give prob of picking 2 k and 1 s.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g - 4*g - 3*g**2 + 3*g + 4*g**2 as o + h*g + a*g**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -19086 equal to -19086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-80)\/14)\/5*14\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000107875 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15773\/72 - -1725\/8. Suppose -12*c = -6*c - 90. Calculate the common denominator of (92 - 92) + (-44)\/c and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-177580)\/9)\/(-13) + (-4)\/(-18)?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 851774*a + 851775.\nAnswer: -(a - 851775)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311665699.\nAnswer: 101, 257, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of r**4\/12 + r**3\/3 - r**2 - 18*r. What is v(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 145, 139, 145, 169, 217, 295, 409, 565?\n\"Answer: b**3 - 13*b + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -48110*y**4 + 8*y**2 - 43*y + 9067.\nAnswer: -577320*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2225771768, -2225771769, -2225771770, -2225771771, -2225771772, -2225771773?\nAnswer: -2225771774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -164054.67468 minus 18406?\nAnswer: -182460.67468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8*(30\/(-16) + (-165)\/110)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8236486 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 443 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 18*i - 57. Let v be s(21). Suppose -v = p - 3*u + 4, -5*u = 4*p - 28. Solve p*r = 1 - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 20\/31  (b) 3035  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 55984229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -19. Let d(a) = -10*a**4 - 7*a - 2. Let b(g) = 11*g**4 + 8*g + 3. Let f(s) = z*d(s) - 2*b(s). Find the second derivative of f(j) wrt j.\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 65 - -63. Suppose -v + 3*v - w = -5*r, 3*r - 132 = -2*v. Suppose -3*m = -123 + v. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 - 9 - 18 - 2 + 9 - 2 + (-4 + 5 + 0)*(0 + 2 - 4) + 2 + 1 - 1 + 5 - 3 - 4 + 2 - 2 + 3)*(z - z + 2*z) to the form b + s*z and give s.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 31*y - 25. Let d = 281 - 177. Let o = -100 + d. Is 35 a factor of f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 10:42 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -19. Suppose -v*r = 3*w - 9, -2*r + 0 + 16 = 4*w. Suppose 102 = w*y - 88. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12 + (-708)\/60 + (-15236)\/(-20) + 5. Calculate the highest common factor of 944 and x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 161*l**2 - 571*l**2 + 2109 - 2109 to the form v + z*l + f*l**2 and give f.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2300103 (base 4) to base 2\nAnswer: 10110000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u. Suppose -13 = a + 2*o, -2*o - 4 = -2*a - u*o. Let g = 1 - a. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, l: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 121.3021 to the nearest integer.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -0.168\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/((-8)\/2))\/((-21)\/231).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 356176020 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 103*z - 160*z - 283 - 3194 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g + 32*g**2 - 79*g**2 - 2*g + (-2 + 1 - 8)*(-3*g**2 + 2*g**2 + 2*g**2).\nAnswer: -56*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 9*j**2 - 3*j + 8. Determine l(-8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 103?  (a) -4  (b) 5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 - 4 - -11 - (-7 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -6*j**2 + 2*j - 1. Let a be (1 + 7\/(-3))\/((-16)\/(-60)). Let c(q) = -13*q**2 + 4*q - 1. Give a*h(o) + 3*c(o).\nAnswer: -9*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 21468 (base 15) to base 16\nAnswer: 19c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -z**4\/4 - z**2 + 14*z - 1050. Let c(w) = -6*w**3 - 11*w + 69. Give 2*c(h) - 11*r(h).\nAnswer: -h**3 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 6. Suppose h = -0*g - g - 161. Let m = -1124\/7 - g. Is m at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02269 * 0.9\nAnswer: -0.020421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - 5\/(20\/(-384396))) + 8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73 - 112. Let f = b - -57. Suppose 0 = f*k - 19*k. Solve y - 1 - 1 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 23045983 and -9842.08.\nAnswer: 23036140.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4567, -18279, -41155, -73213, -114471, -164947, -224659?\n\"Answer: -3*m**3 - 4564*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 8*j - 18. Suppose -2*p + 0*d + 308 = 2*d, 0 = -j*p + 2*d + 437. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of -s**9\/60480 + s**8\/8960 - s**7\/3360 + s**6\/2880 - 25*s**4\/12 + 22*s. Let u(v) be the third derivative of o(v). Factor u(n).\nAnswer: -n*(n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -7*p**2. Let a(n) be the third derivative of n**6\/180 + 2*n**3\/3 - 3*n**2. Let t(k) be the first derivative of a(k). Give t(f(i)).\nAnswer: 98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x = -13*x - 30. Suppose m - 44 = -5*v, 14 = 4*v - 2*m - 24. What is the remainder when x is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 37 = -22, -2*u = 3*v + 835. Let n = v - -309. Solve n - 18 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a + 7*a + 44*a - 5 + 2 + 5*a + 0*a + (-4*a + 5*a + a)*(-3 + 1 - 2).\nAnswer: 45*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 216065 + 0.4\nAnswer: 216065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 take away 186693.41902?\nAnswer: -186694.41902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1500345 - -0.01.\nAnswer: 1500345.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-8) - (-21)\/28. Suppose -5*j - b + 4 = 0, 3*j - b - 2 = -u*b. Sort 5, j, -3.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -509 times 6?\nAnswer: -3054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 5*s**2 + 6*s - 9. Let j be z(0). Sort j, 5, -30 in ascending order.\nAnswer: -30, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((s - 1 + 1)*(2 - 1 + 1) + 2*s + s - 2*s)*(23*s - 21 + 2*s**2 + 0*s + 20).\nAnswer: 6*s**3 + 69*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3358220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/17)\/k)**(-4\/23)\/(k**1\/k**(2\/17)) assuming k is positive.\nAnswer: k**(-273\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8490*f**3*v**2 - 1272*f**3*y**3 - 3*f**3*y**2 - 2*f**2*v**2*y**3 - 4*f**2*v**2*y**2 wrt y?\nAnswer: -7632*f**3 - 12*f**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 0 + p + 3 + 0*p. Let r = -11 + 14. Suppose 15 = -r*c - 33. Let z(x) = 6*x + 16. Determine c*b(g) + 3*z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v + 5. Let h(i) = i + 5. Let l(b) = -3*h(b) + 2*t(b). Suppose -5*k - c - 21 = -2*c, -5*k - 17 = 3*c. Calculate l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 0*q**2 + 93748 - 93749 - 1114*q.\nAnswer: q**2 - 1114*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 2*g**2 - 1. Let s(y) be the first derivative of 0*y - 1\/3*y**3 + 0*y**2 - 8. Give s(i(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, w: 2, m: 1}. Give prob of sequence wdm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.07*-204.\nAnswer: -218.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 1.5. Let l = 154.929 - 155. Let s = -5.071 - l. Which is the nearest to 0.1?  (a) h  (b) s  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -784 = -2*s + 3*q, -5*s + 334*q + 1981 = 337*q. What is the highest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 times -5?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 11:26 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + 11*a**2 - 19*a + 10. What is b(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -0.3, -90\/49, -2\/3, 1\/2?\nAnswer: -90\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 29460.98 to the nearest one hundred.\nAnswer: 29500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1757 = -8*m - 165. Calculate the remainder when m is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/32 + 45\/30 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1924 - 1916. Solve 5*c - 5 = 2*y, 2*c - 8 = -2*y + u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/5)\/(u**4\/u))**(2\/33)*(u**(2\/13)*u**(-3))\/(u**(-5)*u**6) assuming u is positive.\nAnswer: u**(-8666\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.946547 rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -2. Suppose 2*p + p - 12 = 0. Suppose j = -5*i - 5 - 0, 2*i = p*r - 58. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -14*(-2)\/280 + -6 + (-5127)\/(-30). Let i(n) = 4*n**2 - 2*n + 5. Let d be i(-4). What is the greatest common factor of v and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1265 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38808457.\nAnswer: 38808457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(3\/2)\/z**(-2\/11) assuming z is positive.\nAnswer: z**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1a6 (base 12) to base 7\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5379959 is divided by 1257?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -266513 divided by -1577.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l + 4. Let b = 6 - 4. Suppose -6*w + b*w = 0. Suppose 0 = -5*s + p + 20, w*s + 2*p + 15 = 5*s. Give x(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w - 26. Let p be g(-11). What is the units digit of 894\/9 - ((-65)\/p - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = -2*v - 50. Let b = -7 + v. Let n be b\/12 + 198\/8. Solve 3*c + n = -2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.017 + 0.983. Let x = 18\/13 + -152\/91. Sort -2\/11, x, i in descending order.\nAnswer: i, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 9*p = 1140. Suppose 0 = -29*q + 10*q + p. Calculate the highest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4198?\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - -1*(sqrt(7) + -1 + sqrt(7) + sqrt(7))) + sqrt(112)*-3.\nAnswer: -8*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -181*y + 184*y - 2*r, 5*y = 2*r - 18. Let g be (-38)\/10 + (7 - 4). Which is the smallest value?  (a) g  (b) y  (c) -119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + (-8 - 27) - (-6 + -2 + -31).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**28\/h*h\/(h\/(h*(h**(-18)*h)\/h))*h*(h*h**(2\/7))\/h**(1\/20) assuming h is positive.\nAnswer: h**(1713\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 3*m - 132. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3387 - -3443. Calculate the highest common factor of 434 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -228*t - 2. Is p(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/112)\/(133\/266)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 49, 34, -7, -86, -215?\n\"Answer: -2*x**3 - x**2 + 2*x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 - 5 + 35 + 76*i**2 + 59*i**2.\nAnswer: 135*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6 + (-1)\/(1\/3). Suppose h*c + t = 31 + 25, 3*t - 66 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2080665973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-57 - 3)\/(-2)*6\/(432\/60) and 520.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 40*l**2 - 38*l - 15. Give u(41).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 29360497 and 12.\nAnswer: 29360509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -143123420 - 2313?\nAnswer: -143131233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/((-3)\/333*-3). Suppose z - 50 = -3*g, -3*z + l = 5*g - 6*z. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 n when two letters picked without replacement from {b: 2, c: 2, k: 2, n: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/3)\/(12\/(-9))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2202 - 102032000331?\nAnswer: -102031332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3248, -3131, -2936, -2663, -2312, -1883?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*i + u - 9 = 46*i, 0 = -5*i - 2*u + 4. Put 34, 14, i in descending order.\nAnswer: 34, 14, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f - 8. Suppose -2*n - 4*w - 4 = 2*n, 5*w = -4*n. Give b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 98 = -5*m, 0 = 5*b - 3*b - 5*m + 34. Let f = b - -32. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28975.\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = k + 3, 4*a = k - 47. Find the common denominator of (76\/10)\/(15\/(-25)) and a\/(-13)*45\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -10, -18, -34, -64, -114, -190?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -94\/9135 and -4\/35.\nAnswer: 9135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*f = 4*f + 55. Suppose 3*h + h = 4, f = o + 3*h. Solve -5*k - 3 - o = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 5) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 8 = 2*q, -5*w = 10*q - 5*q. Which is the nearest to -2?  (a) -1  (b) q  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -29 in 2\/9, 0.1, 14.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 7:49 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -80937000 to the nearest 1000000.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 6:29 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + 10*v - 6. Let t be a(9). Solve -3 = m + 2*b - 1, -t*b = 2*m + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3950917.\nAnswer: 19, 23, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4.863858 millennia?\nAnswer: 48.63858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 2*a - 3*a)*(1 + 0*a - 4 + 3*a) + 2 - 2 + a**2 + 4*a**2 - 7*a**2 + 4*a**2 + (-1 - 2 + 1)*(a**2 + 0*a**2 - 2*a**2).\nAnswer: a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 AM and 12:34 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 32. Suppose 0 = 2*y - 0*y - 3*f + 5, -f = 5*y - g. Let q be ((-18)\/(-12))\/(y\/96). What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01885994013 rounded to six decimal places?\nAnswer: -0.01886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -3\/35  (b) -87  (c) -0.1  (d) -2\/3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - (-19 + (-2)\/1). Suppose -1 = v + n - 15, -12 = -2*v + 2*n. Let r = h - v. What is the greatest common divisor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*j**3 - 169*j**4 + 36*j**4 + 147*j**4 + j**2 - 2 in the form p + t*j**3 + h*j**4 + n*j + w*j**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*(-5)\/(-1160)*(-80)\/30?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 119 + 4\/8*-2 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/360)\/((-64)\/60)*(-27)\/(-15).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6  (b) 2\/9  (c) 2.8  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.076 from -36.34398275806.\nAnswer: -36.26798275806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bcbbwccccbbwcumcmbw. What is prob of sequence bub?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 0*b + 2*b)*(1 - 1 - 3)*(-4*b - 2 + 5 - 5).\nAnswer: 12*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 9 + (7 - (7 - -6)) + -13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 395190809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(-2 + 0) + -21. Let b(i) = -i**2 - 3*i + 12. Let y be b(4). Let w = m - y. Let p(c) = c**2 + 4*c + 5. Determine p(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**0)**(-2\/7))**(-2\/87)*(l**0*l)**(-1\/86)\/((l\/l**(2\/13))\/(l*l*l\/l**(-1\/7)*l)) assuming l is positive.\nAnswer: l**(25709\/7826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1863007598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/3)\/((-10)\/(-6)). Let p(m) = -6*m + 3. Let a be p(3). Let u be (-72)\/a + (-2)\/(-10). Sort d, 3\/8, u.\nAnswer: 3\/8, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {d: 1, x: 4, a: 6, l: 2, i: 2, k: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**4\/9 + 1436*p**3\/3 - 956*p**2 + 4300*p\/9.\nAnswer: -4*p*(p - 1075)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 2436?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*v + 6*v + 15*v + 11*v to the form x*v + f and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.9 + 4. Let n = 0.6 - h. Which is the closest to -2\/5?  (a) n  (b) -2\/3  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14551946 = -150*m - 5496746. Is m a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 45*w**3 + 6*w**2 - 7*w - 3. Let b(p) = p**2 - 8*p - 2. Give b(d) - t(d).\nAnswer: -45*d**3 - 5*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*x - 3*d + 43, -2099*x + 2074*x = d + 91 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(6))\/sqrt(2) + -4 + (sqrt(3) + 2 - sqrt(3)))*3 - ((-6*(sqrt(147) + -1) - sqrt(147))**2 + 2*sqrt(147)*6 + 2).\nAnswer: -7247 + 507*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*x - 44*x = -168. Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18491158 divided by 2114?\nAnswer: 8747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5*d**3 + 4*d**2 - 2. Let t = 18 - 7. Let b(p) be the first derivative of 9*p**4\/4 + 7*p**3\/3 - 4*p - 58. Determine t*s(w) - 6*b(w).\nAnswer: w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -5  (c) 15\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + 39*t - 3935. Calculate n(46).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 33, 53, 77, 105, 137?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/514 and 19\/11.\nAnswer: 5654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 211*k + 20 = 216*k + 3*a, -50 = k - 3*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 47 = i - 375, 4*x = -2*i + 334. Suppose 2*j - x = 23. Suppose -6 + j = 2*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, r: 2, c: 6, k: 1, v: 1, h: 5}. Give prob of picking 3 h and 1 l.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(93*18\/108)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 9*b**2 + 5493*b - 5493*b. Let k(v) = 5*v**2. Calculate k(o(y)).\nAnswer: 405*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13708*m*r + 793624299*m - 5133*r wrt r?\nAnswer: -13708*m - 5133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(-17)))**(1\/42)\/((f**(3\/11)\/f*f)\/f**(-29)) assuming f is positive.\nAnswer: f**(-13711\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16 - -7923?\nAnswer: 7907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 51929\/1230 - 632\/15. Find the common denominator of w and (-2)\/16*(-438)\/(-6).\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72074 - 39981. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 617 + -617.261. What is j rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b - 3*r + 37 = 0, 69*r - 67*r + 2 = -0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a*f**2 - 11170*a + 11603*f**2 - 175*f + 57 with respect to f.\nAnswer: 2*a*f + 23206*f - 175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - 0. Let a = -0.06 + 3.06. Let p = d + a. What is the second smallest value in 4, p, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 10*v**2 - 15*v + 60. Calculate the lowest common multiple of s(10) and 91.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.37806 - -0.4?\nAnswer: 91.77806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.042 and 0.01454.\nAnswer: -0.01515068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -3*4\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40054389.\nAnswer: 3, 83, 160861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 3 - 3*z**2 - z**2 - z**2 + z**2 + (z + z + 0*z)*(0 + 0 + z) + 2*z**2 - 4*z**2 - z**2 to the form i*z**2 + f*z + u and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 312413 (base 9) to base 8\nAnswer: 552236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a - 52 + 90 + 76 + 3.\nAnswer: 4*a + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-6))\/((-88976)\/(-996))*((1 - 3) + 0).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of 39*v**2 + 0*v**3 - 1\/6*v**4 + 0*v + 0. What is h(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 608424, 1216848, 1825272, 2433696, 3042120, 3650544?\n\"Answer: 608424*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by -117651.\nAnswer: 13\/39217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 95*l**2 - 310*l + 81. Give g(44).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/6109 or 1?\nAnswer: 5\/6109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 6, o: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 16666, 33282, 49846, 66358, 82818, 99226?\n\"Answer: -26*d**2 + 16694*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01 in -3, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together 486 and 0.6.\nAnswer: 486.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 26 = -a - 2*c, 0 = -5*a + c + 77. Let h = -78 - -40. Let x = a - h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1008) - 2*sqrt(1008)) + sqrt(1008) + -3 - sqrt(1008))**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -385, -906, -1637?\nAnswer: -2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:42 PM and 1:51 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + d**2)*(-54 + 33 - 9).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173530 is divided by 1866.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 3367693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 - 7*b**3 - b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + 0 - (-19 - -13). Suppose 0 = 9*n + i + 62. Calculate the smallest common multiple of 20 and n\/1*(3 - 4\/1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330 = 331*r - 265*r. Suppose -t + 1 = 3. Let j be (39\/(-6))\/(1\/t). Solve -3*n = -c - j, -3*c = r*n - 2*n - 21 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*p**2 + 31*p**2 - 19*p**2 - 88*p**2 as c*p**2 + g + x*p and give c.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d - 352701 + 352701.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (52\/(-4))\/(3*(-5)\/15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 24\/5, 0.5, -47, 4, -3, -2\/19, 2.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*a - 180 + 827 = -208. Solve -a*u = -17*u - 12 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/6 of a century in months?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2012974?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-1\/15))**(3\/19) assuming q is positive.\nAnswer: q**(14\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 2*b + 8, -3*s + b + 575911 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00590057359 rounded to 7 dps?\nAnswer: -0.0059006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -3112332?\nAnswer: 3112323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 1 = -w. Suppose -1806 = -27*n - 8394. What is the tens digit of (1 + n)*w\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 132076 by 742.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -49, -29, 7, 65, 151, 271?\n\"Answer: z**3 + 2*z**2 + 7*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1458, 7153, 17080, 31233, 49606, 72193, 98988?\nAnswer: 129985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 15269112?\nAnswer: 15269112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -971115.255 - -1.\nAnswer: -971114.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 79.268 and -0.016.\nAnswer: 79.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 39*d**3 - 2*d + 1. Suppose -7*b + 5 = 40. Let l be b + 9\/3 - -3. Is w(l) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25294 divided by -39.\nAnswer: -25294\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188233.\nAnswer: 19, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 12:50 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from {x: 8, j: 4, u: 1, i: 7}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/10 of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = -165*v + 161*v - 28, d = -v - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2785*f + 6087*f + 3470*f + 1803*f + 2454*f)*(0*f**2 - 4*f + 0*f - f**2) to the form v*f + b*f**3 + d*f**2 + p and give d.\nAnswer: -66396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**18*(v**(9\/5)\/v)\/v assuming v is positive.\nAnswer: v**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*o = s + 171*o - 83*o + 1, -960 = 45*s + 2*o + o for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 - 6*m - 60 + 119.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0048151576 to four dps.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = -2*n - 0, 0 = -w + 5*n - 19. Suppose 5*x - w = -a + 7, -2*x - a = -4. Suppose x*r - 4 - 2 = 0. Sort r, -4, 6 in decreasing order.\nAnswer: 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -190275 divided by -885?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 33143*i - 88. Let s(t) = -8285*t + 24. Determine -3*a(d) - 11*s(d).\nAnswer: -8294*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -116*v**3 - 26*v. Let s(a) = -13*a**3 - 3*a. What is 6*b(r) - 52*s(r)?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/486 greater than or equal to -1161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*z + 137*z + 21*z - 81*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10626 - 10623. Let r(m) = -m**3 + 2*m + 1. Let t be r(-2). Which is the nearest to -0.1?  (a) t  (b) u  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.42 in 5, 3, 2, -5\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 5:01 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*c**3*k**3*w - c**3*k**2*w + 2*c**2*k**3*w + 17*c**2*k**3 - 9*c**2*k**2 wrt c.\nAnswer: 156*k**3*w - 6*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 193079186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1)*m)**(1\/21)\/(m**(-1\/3)\/m)**(-40))**1 assuming m is positive.\nAnswer: m**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 16756 = -5*o, 0 = 2*o + 3*a - 843 - 5862. What are the prime factors of o?\nAnswer: 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -9677726, -9677741, -9677770, -9677819, -9677894, -9678001?\n\"Answer: -h**3 - h**2 - 5*h - 9677719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3025 and 826320.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -8*b - 1. Let z be c(-1). Suppose -5*p + 3 = 5*f - z, 0 = -3*p. Let w = -0.2 - -0.1. Is f greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 - 10*t**2 + 3*t + 67. Let g be m(0). Suppose 3*d - 3 = -g*y + 70*y, 0 = -d - y + 5. Factor 1\/8*p + 1\/8*p**d + 0 - 1\/4*p**2.\nAnswer: p*(p - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05111031 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**3 + y**3 - 3*y**3 + (y - 2 - 3*y - y)*(-2 + 20*y**2 - 2 + 2).\nAnswer: -61*y**3 - 40*y**2 + 6*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1104538295?\nAnswer: 5, 7, 179, 176303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 4745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*d + 15968 = 23459 + 21669. What is the highest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4*a + 2*q + 26, -q = -3*a - 9. Let m = -502 - -506. Let f be (m\/132*a)\/(2\/3). What is the third biggest value in -0.5, 3, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 8:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 393 - 390. Let p = 0 + 0.1. Let r(d) = d**2 - 7*d. Let u be r(7). What is the second smallest value in u, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76027\/4266 + -1266\/79. Calculate the common denominator of z and 99\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y**4 - 12*y**3 - 10*y**2 + 12. Let l(v) = v**4 + v**3 + v**2 - 1. Let p(s) = -g(s) - 12*l(s). What is the third derivative of p(m) wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -1. Let n = 0.37 - 0.37. Which is the biggest value?  (a) 3  (b) q  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*j**2 + 2 - 4*j + 4*j + (0 + 2*j + 0)*(j + 2*j - j) as p + z*j**2 + w*j and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4716974 is divided by 5986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = -10*o + 6 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (20\/8)\/((-1)\/(-2)). Suppose -4*c + 5*x = -1, -r*x = -3*c + 8*c - 35. What is the nearest to 0 in 0.01, c, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -282871 < -282872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 10:22 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 340 + -158. Let q = l - 162. Which is greater: 2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r**3 + 26*r**3 - 12*r**3 + 42 - 32*r + 63*r**2 - 13*r**3. Let f be a(31). Solve -9 = -3*o + 3*z, -2*o + 2*z = o - f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124.537 rounded to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 10:04 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*w + 133 - 1131 = 3*b + 41*w, 0 = 3*w + 129 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.5  (c) 252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 0*k**2 + 2*k - 2*k**2 + 5*k**2 + 0*k + 1. Suppose 4*n + b = -15, 3*b + 12 = -b. What are the prime factors of i(n)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*m**2\/7 + 1839765*m\/7 - 2759661\/7.\nAnswer: 3*(m + 306629)*(2*m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 467.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from qhqcwwrx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 305255333469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 866252380 by 469.\nAnswer: 1847020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 356 divide 1463868084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/861 and 40\/21.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 67148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1093*g + 18360 = -634*g for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Put 2131, -1, 5, -4 in decreasing order.\nAnswer: 2131, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9817*h - 6 = -9820*h + 3*a, -9*h + 28 = a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 128576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6435\/(-30030))\/((-3)\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4 = 6. Let t be (15 - 0) + g + -2. Let o be (15\/(-35))\/((20\/420)\/((-6)\/4)). Which is greater: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -107, -219, -343, -485, -651, -847?\n\"Answer: -c**3 - 105*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - -401932.\nAnswer: 401932.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c + 8*c + 10 = 0. Let y(p) = 33 + 2*p**c - 33 - 33*p**2. Let r(h) = -2*h. Give y(r(j)).\nAnswer: -124*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-220)*-4*2211\/(-1809)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 0.057?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -22 + 26. Determine u, given that r*u**4 - 24*u**3 + 23*u - 12*u + 32*u**2 + 13*u + 1 - 37 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the third derivative of -g**6\/120 - g**5\/10 - 7*g**4\/24 - g**3\/3 + 7*g**2. What is the remainder when 0 - 30\/(-2*1) is divided by f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -408 by 16.\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06794 - -985.\nAnswer: 985.06794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3430*r - 3567*r + 411 = 0. Suppose 9\/4*z - 3\/2*z**r + 0 - 15\/8*z**2 = 0. Calculate z.\nAnswer: -2, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69359.\nAnswer: 43, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -296 + 328. Suppose 2*f - l = -6*f. Calculate the remainder when 26 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1438110 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-2 - 39\/(-18)). Let t = 134 + h. Suppose z + z - 4*r - 78 = 0, 0 = -2*z - 4*r + t. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19*b**3*d*m**3 - 7*b**3*d*m**2 + 5*b**3*m**3 - 10*d + 2*m**2 wrt m?\nAnswer: 114*b**3*d + 30*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -257, -261, -265, -269?\n\"Answer: -4*k - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/9 in 44, 2\/173, -11?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 6, 241, 1, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 47*v**2. Let w(y) be the second derivative of -y**4\/4 - 5*y + 3. What is c(w(o))?\nAnswer: 423*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 189.000194 + -189. Round p to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of -1\/6*c**4 - 25*c + 2*c**3 - 8*c**2 + 0. Factor o(m).\nAnswer: -2*(m - 4)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c + 0*c - c)*(0 - 1 - 7*c + 2) in the form n + l*c**2 + z*c and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-792)*-4)\/(1\/(-3))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**0)\/c*c)**(-15)\/(c\/c**3)**10)**(2\/11) assuming c is positive.\nAnswer: c**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -108*b*v**3 - b*v*z + 196*v**3*z**2 + 28*v**3 - 11*v*z**3 wrt z.\nAnswer: -b*v + 392*v**3*z - 33*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, -1 in decreasing order.\nAnswer: 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 7*y + 6. Suppose -11 = -z + 6. Suppose -2*o = -6, 2*f + o - z = 4*f. What is w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -304 smaller than -908\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**3 - 59*x**2 + 32*x - 88. What is d(29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 114 - 25 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -178460547*f**6 - 4*f**2 - f - 6853269 wrt f.\nAnswer: -21415265640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6321, 4, -19 in descending order.\nAnswer: 6321, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h + 14. Determine a(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/15)\/((-3)\/12*2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 16 = i, 5*i - 72 = i + 4*f. Let o = i + -5. Solve 2*p + 2*s = -2, 2*p + o = 3*p - 4*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1102 divided by -6239\nAnswer: 1102\/6239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 899 - 859. Let w(r) = r - 5. Let u be w(5). Suppose u = 2*n, -k = i - 6*i - 3*n. Solve -5*p = 20, 4*c - 3*p = -c - i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1204*g + 1207*g + 1202*g - 21 - 32 - 3610*g.\nAnswer: 3*g - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 5*o**2 + 6. Calculate k(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 15*s**2 + 25 + 5\/3*s**3 + 115\/3*s = 0.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -164 + 3*r - r + 169 to g + y*r and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 12 - 8 = 0. Sort -3\/4, x, -5.\nAnswer: -5, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 - 14*c**2 + 5*c + 90. Let g be x(13). Let a be -8 + (-300)\/(-35) - (-8)\/g. Factor 2\/3*f**3 - 2\/3*f**2 + 0 + a*f.\nAnswer: 2*f**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, g: 4, y: 6, e: 1}. Give prob of sequence gy.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - (2 + 192\/(-8)). Solve -m = -g + 5 - 6, a = -5*g - 2*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkxdxdkxx. What is prob of sequence kx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42 + 55. Solve m*a = 11*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 50\/3*x**3 + 314 - 105\/2*x**2 + 0*x - 5\/4*x**4. Determine b so that v(b) = 0.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20210211 (base 4) to base 5\nAnswer: 2110414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + 2*x**2 - x + 1. Let h be u(-2). Let i = -0.13 - 0.19. Let v = -0.08 + i. What is the nearest to -0.02 in h, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 525 and 3402.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 75c (base 16) in base 10?\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -1\/6  (c) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1519736905?\nAnswer: 5, 433, 701957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 7*y**4 + 7*y**3 - 2*y**2 + 4*y + 4. Let z(u) = -u**4 - u**3 - u**2 - u - 1. Let g(i) = p(i) + 4*z(i). Determine t so that g(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7259572063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408048 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1735441879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 732*a**3 + 11*a**2 + 31*a - 131. Let i be l(3). Calculate the greatest common factor of 65 and i.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of -3*n**5\/20 - n**4\/12 + 5*n**3\/6 + 5*n**2\/2 - 5*n. Let t be h(-2). Let d = 17 - t. Solve -d = 3*b - 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 392*o**4\/3 + 56*o**3 + 6*o**2 = 0.\nAnswer: -3\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1363, 2611, 3859, 5107, 6355?\n\"Answer: 1248*s + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 2.4. Suppose 11 = -t - 10. Let z be (2\/(-3))\/(t\/9). Is d bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 17*q**2 - 17*q - 22. Let y be w(-16). Let a = y - -8. Suppose -4*z = -5*o, -1 = -z + a*o - o. Sort 7, z, -3, 3 in descending order.\nAnswer: 7, z, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16 + 100. Suppose 8*y = x + 68. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*v + 6*v = 21*v + 24*v + 100*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 708772.1 millennia in years?\nAnswer: 708772100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 7:47 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 8 = 4*m + 3*j, -5*j = 4*m - 32. Suppose 4*f - m = 0, 5*g + f - 88 = -3*f. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 938*l + 1. Let w(j) = 10483*j. What is w(k(r))?\nAnswer: 9833054*r + 10483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 1559*f - 157. List the prime factors of r(18).\nAnswer: 5, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19499644067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6*1\/(-9))\/((-2)\/(-3)). Let r = -0.3 + 0.29. What is the nearest to b in r, -4, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + 6. What are the prime factors of (12\/9)\/(2\/a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 4*v**2 + 8*v - 11. Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2. Let a(i) be the third derivative of -7*i**5\/15 - 15*i**2. What is q(a(s))?\nAnswer: 784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + (8 - 4\/2). Let u(g) = -g**2 - 8*g - 1. Let t be u(-7). Let h = t - m. Solve -w + 8 = w - q, h*w = 2*q + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -9*q + 199. Let c be d(22). Let p(h) = -h**3 + 8*h**2 + 2*h - 8. Let u be p(6). Let i = u - 1823\/24. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.38679 + 3?\nAnswer: 7.38679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29321 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, u: 2, z: 1, j: 2, g: 1, t: 1}. Give prob of sequence ugz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 7. Find the third derivative of -6*g**4 + 33*g**3 + 2*g**2 - 33*g**z wrt g.\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u**2 - 7*u - 24. What are the prime factors of w(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -10*m**2 - 2*m + 2. Let k be s(1). Let c(u) = u**2 + 13*u + 14. Let y be c(k). Let f = y - -30. What is the least common multiple of f and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1268750 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = x - 3*x. Suppose x*n + 72 = 35*n. What is the highest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(416)*-3*5)\/((-2*sqrt(20))\/sqrt(10) - sqrt(2) - sqrt(24)\/(sqrt(24)\/sqrt(2))).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from menmmnn. What is prob of sequence nnem?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-23)\/2)\/(5\/10). Let g = 155 + -65. Let d = v + g. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*d**3*p - 3372*d**3 - 9*d*p**2 + 2*d*p + p with respect to p.\nAnswer: -6*d**3 - 18*d*p + 2*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -66?  (a) 1\/3  (b) 0.2  (c) -349  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -v**3\/3 - 9*v**2\/2 - 4*v - 5. Let y be n(-8). Suppose -y*z + 106 + 114 = -2*p, -2*p = -z + 55. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 199 + 272 - 467 - 13*g**2 - 6*g to the form q + x*g**2 + k*g and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3949067 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -44.7241 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*i + 14 = 6, -5*p - 4*i = -17. Let s be -104*((-28)\/(-16) - p). Let l = -39 - s. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 7\/8, 1, 5.2 in descending order.\nAnswer: 5.2, 1, 7\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**2 - v**4 - 3*v**3 + 5*v**3 - 4*v**2 in the form a*v + p*v**4 + r + n*v**2 + m*v**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h - 2. Let u be q(2). Let m(a) = 26*a - 126. Let y be m(5). Suppose u = -y*n - n + 1025. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.765 - 19.8. Let j = w + 4. What is j rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*t**2 - 15*t**2 - 10*t**2 + 7*t**2.\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/21, -9, -2, 4.\nAnswer: -9, -2, -2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.71582 - 2.16152. Round r to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34120 by -6824.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37205 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110101002 (base 3) to base 13.\nAnswer: 414b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1976\/(-3990) + 4\/10)\/(28\/(-49))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/9 and 35\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 52 - 124. Let b be 1*(-1)\/(4\/d). Solve -2*v + 2*k = -b, 0*v - 5*v = 4*k - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -37359, -75089, -112823, -150561?\n\"Answer: -2*q**2 - 37724*q + 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 236 divide 62963384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65 and 3614?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 7*i**2 + 6*i + 7. Suppose 4*b + 18 = m, -3*b + 3 = m - 2*b. Suppose -8*a + 130 = -3*a. Calculate the remainder when a is divided by c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -78175  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7160 is divided by 720?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 128.8 + -82. Let j = -47 + c. Sort -2, -4, j in increasing order.\nAnswer: -4, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/51, -1\/3, 5, -1\/10, 0.3911?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, e: 10, o: 9}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/20)\/(-9*9\/(-108))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 121 + -124. Put -12, -4, a in ascending order.\nAnswer: -12, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, 0, 41, 118, 243, 428, 685, 1026?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 50\/4*137\/((-7535)\/(-66))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n**3 - 3*n**2 - n. Let c(b) = 39*b**3 + 3*b**2 + b. Determine -5*c(u) - 5*w(u).\nAnswer: -205*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(19) + 0)*1)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(1\/7)\/p*(p*p**(2\/59))\/p*(p*(p*p\/(p**3\/p)*p)\/p*p)**(-34\/5) assuming p is positive.\nAnswer: p**(-29784\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a + 1 - 1)*(-4 + 0 + 3) - 2*a + 2*a - a - 4*a - 6*a + 6*a + (-4 - 2 + 4)*(4 + a - 4).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/3106 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 226*q - 2034. Let f be y(9). Solve i + 2*d - 6 = f, 6 = 31*d - 28*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*q - 108 = -45*q. Let c(z) = 3*z**3 + 5*z**2 - 2*z - 12. What is the lowest common multiple of c(3) and q?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**3 + o**2 - o + 4. Suppose -18 = -x - 4*q, 0*q + q = 5*x - 6. Calculate the remainder when j(0) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/((-8)\/(-12)) - 14. Let d = q + 32. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 4:06 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 41*n + 9. Let l be a(9). Calculate the common denominator of 35\/16 and l\/120 - (2 - 1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15017?\nAnswer: 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -14*m**3 + 3*m + 1. Determine j(2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and -34175.\nAnswer: -34174.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(3 - 14) + (-24)\/264?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2327, 3347, 4365, 5381, 6395, 7407, 8417?\n\"Answer: -m**2 + 1023*m + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 233540640 divided by 165280\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.34679 - 1171418.\nAnswer: -1171425.34679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-18) + (-248)\/(-18). Suppose -3*m + g + 55 = 0. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 460*v**3 + 4224*v**2 + 72629352?\nAnswer: 1380*v**2 + 8448*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -v - 2*v + b, -b - 2 = -4*v. Let c(h) = -h**3 + 4*h**2 - 4*h + 1. Let i be c(3). Let n = i - -5. Solve v = -2*x - n + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3194.6 - -2841. Let z = u + 354. Let r be 1 + -1 + (-8)\/(-36). Put 16, z, r in ascending order.\nAnswer: r, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*y + 236 = -2*x, 327*y - 323*y + 73 = -x for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 2*b = 6, -b - 4 = -4*q - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 98043491?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (10\/400*16)\/(4 - 4 - 5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 - -44. Which is the nearest to 0?  (a) k  (b) 1\/3  (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29 + 30. Let h be (-5 - -3) + 20\/r. Calculate the greatest common divisor of 27 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 163968, 327706, 491442, 655176, 818908?\nAnswer: 982638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -65?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 50 = 3*v, 40 + 27 = -4*v - c. Let x(w) = -w**3 - 20*w**2 - 49*w + 10. Calculate x(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -271\/10 - -53\/5. Let u be (3\/9230)\/(516\/7064602). Let c = u - -1\/39689. Find the common denominator of h and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81 - 76. Suppose 0*c + 2 = 2*c. Let b be (-3 + 1)\/(c\/2). Sort a, b, -5.\nAnswer: -5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**3 + 5*h**3 - h**3)*(-h**2 - h**2 + 4*h**2 + (2*h + 2*h - 2*h)*(0 + h + 0) + 4*h**2 - 3*h**2 + h**2).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -3 + 3 - 2 + 3*w**3 + w. Suppose -4*y - 13 - 7 = 0. Let r(a) = -7*a**3 - 3*a + 5. Determine y*c(v) - 2*r(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 9 + -3 + -1 + -89 + 72\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and -1 + 3 + -3 - -31.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -138*f**2 + f - 1. Let g be n(1). Let d = 139 + g. Let t be ((-13)\/(-3) - 3)\/14. Is t at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**2 - 13*m + 14 = 0 for m.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + -5)*3.\nAnswer: -15 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -429 = 180*o - 214*o + 115. Solve 26*n = o*n - 15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/(-72)*-4)\/((-72)\/(-80)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - m = -25. Suppose -12 = -m*o + 23. Solve -o = -s + 3*n, -3*s - 22 = 2*s + 4*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 - 5*z. Let t be l(-5). Suppose t = 5*s - 0*s - 15. What is q in -6*q**4 + 0*q**2 + 3*q**5 - 2*q**2 + 2*q**5 - 3*q**5 + 6*q**s = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2726033578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/m**(-5)*m**0 assuming m is positive.\nAnswer: m**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 61460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 11 = 2*f - 5, 5*f + 23 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16342 is divided by 16341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = a + 3*a - 36, 0 = -4*v + a + 29. Let t = -2 + 7. Suppose 39 = t*k - 71. What is the remainder when k is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -1. Let w be p - (-3 - -2) - -7. What is the remainder when 11 is divided by 24\/(-28)*w\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -4*s**2 + 51635304*s - 166637788698276 = 0.\nAnswer: 6454413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 493*l - 4*l**2 - 9*l**4 - 475*l + 4*l**2 + 1 as s*l**2 + h*l + u*l**3 + x + i*l**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 3*d - 30 = -129, d = 2*v - 49. Suppose 2*l + 2*l = v. Factor 7*c**4 + 8*c**4 - 4*c**4 - c**4 + l*c**5 - 2*c**2 + 2*c**3.\nAnswer: 2*c**2*(c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3536 = 53*p - 274*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -246 or -1712\/7?\nAnswer: -1712\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - 5\/((-150)\/57))*4. Is j less than -14.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z + 4. Suppose -t = -10*b + 5*b - 176, t = -3*b - 112. Let v be (-120)\/b*(-3 - (-21)\/5). What is d(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 12*r + 31. Let u(t) = 5*t**2 - 8*t + 1. List the prime factors of u(r).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -4*f**2. Let b(j) = 4*j - 4*j + j - 7*j + 0*j. What is x(b(y))?\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 - 6. Suppose -2*i - 3 = -v. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 550.7373 kilograms?\nAnswer: 550737.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 941 is divided by 308.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 4:26 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 - -63. Suppose -z - 1 = -2. Let t = h - z. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -999, -1010, -1027, -1050, -1079, -1114, -1155?\n\"Answer: -3*y**2 - 2*y - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2487674381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*q + 440 = 0, -3*q = 22*p - 20*p - 225. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + -1*1699\/(-1). Let o = -64567\/38 + a. Calculate the common denominator of 113\/6 and o.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 63*x**2 - 118*x + 6. Let o(g) = 26*g**2 - 60*g + 3. Give 3*d(s) - 7*o(s).\nAnswer: 7*s**2 + 66*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 203, 201, 191, 167, 123?\n\"Answer: -j**3 + 2*j**2 - j + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 2\/5  (b) 1643267  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 PM and 4:20 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 z, and 1 v when three letters picked without replacement from {o: 2, t: 3, h: 3, v: 4, z: 2, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25813546 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7830089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -40fbb - -c44?\nAnswer: -40377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - -38. Suppose -9*q = 5*h - 6*q - 33, -3*h + 5*q = -m. What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15157*a = 15159*a + 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes before 10:37 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of -2*x**2 - 1\/15*x**6 - 1\/6*x**3 + 0*x + 0*x**5 + 0 - 1\/24*x**4. Let v(d) = -d**2 + 43*d - 373. Let z be v(12). Give o(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1981303725?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) + -1)**2 - sqrt(175)) + (sqrt(7) + 0 + -1)**2 + 0.\nAnswer: -17*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.2*-0.3.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 5*b - 3 - 7, -b - 22 = -5*q. Solve -3 = b*t - 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 381882721\nAnswer: -2\/381882721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that a**4\/2 + a**3 + a**2\/2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w + w**4 + 0*w + (0*w**3 + 4*w**3 - 2*w**3)*(818*w + 696*w - 9740*w - 29067*w) as x + b*w**3 + u*w**2 + a*w**4 + h*w and give a.\nAnswer: -74585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q + 59*q - 11*q - 15*q - 10*q - 12*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (9*(-52)\/(-585))\/(32\/1000)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -254.023 rounded to 1 decimal place?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 5 = c, -n + 82 = 2*c. Let h = -65 + n. Sort 2, 0, h in ascending order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 0 - 1)*(5*i + 0*i - 4*i)*(-5 + 14 - 4) to m*i + p and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211279?\nAnswer: 59, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -418 + -32. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 3*z + 30. What is j(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 2)*(-3 + l**2 + 3) - 802*l**2 - 478*l**2 + 31*l**2.\nAnswer: -1252*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33 + -40. Let z(o) = -o. Give z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -910*m - 26. Let l(c) = 101*c + 3. Give 52*l(i) + 6*q(i).\nAnswer: -208*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 22*r + 1. Let j(z) = 89*z - 24. Calculate n(j(g)).\nAnswer: 1958*g - 527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236517821.\nAnswer: 17, 317, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/18 - 105\/108. What is the third smallest value in f, -3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1158, -2399, -3332, -3957, -4274, -4283?\n\"Answer: 154*z**2 - 1703*z + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-113 + u + 224 - 116)*(-7*u - 2*u - u) in the form c + g*u + r*u**2 and give g.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 10:14 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2851957187?\nAnswer: 379, 2069, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - q - 605 = 0, -2*j + 3*q + 242 = 6*q. Does 16 divide 0 + 3 + (j - -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1326, 5229, 11586, 20277, 31182, 44181, 59154?\nAnswer: 75981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 - 4*2\/(-4) - 2. Calculate the highest common factor of 9 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/27?  (a) 10  (b) -3  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 9. Suppose z - 6 = -i, 2*i + 10 = d*i - 3*z. Let h(r) = -r**2 + 30*r + 8. Calculate the lowest common multiple of i and h(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82095.4669 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - -1 - (1 - (11 - 5)) - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 7 - 31*o.\nAnswer: -31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*o + 2*j + 36 = 0, -o + 157*j - 161*j + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2928, -12392, -28378, -50886, -79916, -115468?\nAnswer: -157542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggtybjr. Give prob of picking 1 r and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -9, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/17, 3\/5, 0, 0.11, -0.233?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -53*l + 5445. What is v(103)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 555 divide 174043396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*1)\/(265\/(-106))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -31 + 2*p**3 - 17 + 282 + 109 in the form h + d*p**3 + k*p + j*p**2 and give h.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (24\/224)\/((-14)\/8). Let q = c + 2\/147. Is -1 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -5 - (-7)\/((-9)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 200320000 + 201?\nAnswer: 200320201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/18)\/((-6)\/27). Suppose 8*p - 5*l - 15 = u*p, 5*p - 23 = l. Let j(y) = 6*y**2 + 3*y - 14. List the prime factors of j(p).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(272) + 0 - sqrt(272)) + sqrt(272))*-2 - sqrt(272))**2 + sqrt(272) + (sqrt(272)*5)**2 + -2 - ((-3 + sqrt(272) + -1)*-4 + 1).\nAnswer: 20*sqrt(17) + 9229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2629.068 months?\nAnswer: 2.19089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -137255*b**2*h - 2*b + 46*h + 197 wrt b?\nAnswer: -274510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -437.8163 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 525062351 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/(-10))\/((20\/(-4))\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 0*r**3 + 0 - 4*r**2 + r + 7\/60*r**5 + 0*r**4. Let l(n) = 18*n**2. Determine y(l(p)).\nAnswer: 2268*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12394 or 11753?\nAnswer: 12394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 531497.2 micrometers?\nAnswer: 0.0005314972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -17*q**2 - 3. Let a(l) = 9*l**2 + 1. Let x(z) = -5*a(z) - 2*p(z). Find the first derivative of x(f) wrt f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in -0.038, 0.3, -2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.05 - 184.95. Let k = d + 190.22. What is k rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of 0 - 1\/2*l**2 - 2*l - 11\/10*l**5 - 1\/12*l**4 - 1\/3*l**3. Calculate the lowest common multiple of j(-1) and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 3.623003.\nAnswer: 3.623003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 159 - 133. What is the remainder when 148 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15.7 + -1.7. Let c = 18 - a. Let q = -0.039 + 0.539. Put -1, c, q in descending order.\nAnswer: c, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -144 + -40?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 4, 38, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 995, 0, -2, 5.\nAnswer: -2, 0, 5, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118471 is divided by 236.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + c**2 + 3*c + 1. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22085 - -22084.99964606. Round h to five decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*n = -5044, -3*g = -5*g + 2*n + 10048. List the prime factors of g.\nAnswer: 3, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 + 100*m**2 - 112*m + 145. Let r be w(45). Calculate the greatest common factor of r and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 7*l + 89. Determine q(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 483 - 3421 = -2*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11221 - -10001200101?\nAnswer: 10001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s - 56*s - 3190 = 218*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**4 - s + 27*s**3 - 2*s**2 - 68*s**3 + 3*s**4 + 16*s**3 + 30*s**3 in the form i*s**2 + r + g*s**4 + d*s + y*s**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**2 + 0 + 0 + 0.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 94*j + 284 + 186 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 4*u**2 + 8. Determine g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/903 and 16\/168165.\nAnswer: 50617665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/((2\/(-2))\/(((-5814)\/1653)\/51))?\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 3:22 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 - 118*g**3 + 117*g**3 + 1 + 2*g - 8 in the form d + f*g**2 + m*g**3 + o*g and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i - 4. Let r be l(-6). Suppose -r*s = 2*s. Suppose s*a - 3*a = -30. What is the least common multiple of 12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 149 > -854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83651 - 80301 = -134*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b**3 + 16*b**2 + 4*b + 4. Let q be p(-4). Let x = q + -496. What is the least common multiple of 64 and x?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 15 = 3*t, -4*n + 24 = n - 2*t. Let g be (n\/(-3) - -12)*-1. Let o be (0 - -1) + -2 - g. Solve 3*f = -2*m - 3, -4*f - 12 = -3*m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, b: 2, k: 1, z: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -61 - 5*x**2 + 6*x**2 - 41 in the form j*x**2 + y*x + i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((-6*sqrt(96))\/(-2*sqrt(72)) - (sqrt(105)\/(sqrt(7)*2))\/(sqrt(50)\/sqrt(160))) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*o - 49 + 49 + (3 - 3 - 5*o)*(-4 - 2 + 4) - o + 0*o - o + (-1 - 4 - o + 4)*(3 + 0 - 4)*(7 + 1 + 1).\nAnswer: 32*o + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.045 and -10.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + 17. Let a be (k - (0 - 1)) + 3. Suppose -12 = -3*s + 3*f + a, -2*s + 4*f = -22. What is the remainder when 93 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaal when four letters picked without replacement from {l: 6, a: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34010 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -244 + 475 - 3*p - 2*p**3 + 0*p**3 + 14*p**2 + p**3 - 212. Give t(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5 = 5*t, 0 = 3*z + 49*t - 45*t - 7. Let o(a) = -a**2 + 7*a - 4. What is o(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n - 28. Let c be -2 + -3 + 4 + 3. Suppose -c*y - 89 = -5*a, -3 = -2*y - 7. Calculate the smallest common multiple of s(a) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 + 12 = 4*j + 5*i, -j - 4*i + 11 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**4 + 1331*k**3 - 1329*k**3 - k + 0*k**4 - 2*k - 3 to w*k**4 + u*k**2 + a*k**3 + l + o*k and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15786 is divided by 1089?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6860 and 8456420.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*1\/3 - (-975)\/225. Let b be (3\/2)\/(1\/2). Factor 0 + 2\/3*t + 2\/3*t**2 - 2\/3*t**p - 2\/3*t**b.\nAnswer: -2*t*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-1))\/(12\/(-60)). Suppose 0 = -o*d + 2*i - 8, i + 4 = -d + 2*i. Suppose -5*k + 5990 + 9335 = d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 34 - (-1 - (-3 + 1)). Let f be -1*(-8)\/20*5. Suppose -o = -f*g - g. What is the greatest common divisor of g and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 848461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*r + 2*r + 3*r)*(-1 - 2 + 1)*(2*r - 2*r - 2*r)*(-4*r - 3*r + 4*r) + 9*r**3 - 12*r**3 - 2*r**2 + 0*r**2 to n + a*r**3 + s*r + q*r**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25036 and 1056.\nAnswer: 600864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + 8*r**3 - r**3)*(-r + 0*r - 2*r) + (1 - 1 + 3*r)*(-2*r**3 + 2*r**3 + 2*r**3) - r**4 + 0*r**4 + 5*r**4 + (r + 2*r - 2*r)*(-4*r + 4*r - r**3).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -54\/49 and 572\/112 - (-3)\/(-12) - -3.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 163*t**2. Let i(l) = -2*l. Give i(p(c)).\nAnswer: -326*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 203 a factor of 305312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -9*y**2 - 9*y - 54. Let b be f(-5). Is -234 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39194 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3618*l - 867 with respect to l.\nAnswer: -3618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52900 + 13412 = -2362*g + 520*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b - 9. Let y be f(13). What is the third smallest value in y, -5, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 0.33948?\nAnswer: -3.33948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4562689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134147173?\nAnswer: 83, 1616231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 18144 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in 0, 1, -3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860586072?\nAnswer: 2, 3, 35857753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, -68303, -2, -2\/9, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from ppypppppqppqpyqyyppp?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10860 is divided by 383.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.4 + -6.4. What is the biggest value in 4, 0.2, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104542868 to the power of 1\/3, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2118608 and 816?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((-l - l - 2*l)*(2 - 3 + 3) + 0 + 2*l + 0)*(9 + 7 - 9).\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730432441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 5:51 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b*((b\/(b*b*b\/(b*b**(-4)*b)*b)*b)\/b)\/b)\/b)**(-50)\/(((b*b**(-24))\/b*b)\/b**(-31)))**(18\/7) assuming b is positive.\nAnswer: b**(4356\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1940, -12242, -29398, -53396, -84224, -121870, -166322?\n\"Answer: 2*a**3 - 3439*a**2 + a + 1496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 PM and 3:01 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 117638291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-21)\/((-20)\/7 + 7\/(-49)). Suppose -s - 2 = 2*a, -2*a + z*a + s + 11 = 0. Let t(l) = -3*l**2 - 21*l. Let w(i) = -i. Determine a*t(r) + 63*w(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/53089 - -38277179\/265445. Let m = -145 + a. Let d = 0 - 0. Which is greater: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -900.56, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -976 by 150.\nAnswer: -488\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is c494 (base 14) in base 11?\nAnswer: 23476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) -1\/864  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(35)*-1*6 - sqrt(35))\/(sqrt(77)\/(-2*sqrt(11))) - (-2*sqrt(7920) - sqrt(7920))\/(3*sqrt(11)*-1)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ussusnsy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5.208908 micrometers?\nAnswer: 0.000000005208908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.204 times 24.14?\nAnswer: 4.92456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 414*j**3 - 1716*j**3 + 161*j**3.\nAnswer: -1141*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 70137.85 days in hours?\nAnswer: 1683308.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 748.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**4. Let x = -4 + 6. Let o(q) = -3*q**4 + 4*q**3 - 4*q**2. Let h(r) = x*b(r) - o(r). Factor h(c).\nAnswer: c**2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3285011969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 63*i - 23*i + 140*i to the form w*i + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 - 2 + 2)*(y**2 - 3*y**2 + 0*y**2) + (2*y + y - y)*(-3*y + 6*y - 2*y))*(y + 0 + y + 2) in the form u*y**3 + p*y + f + n*y**2 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21359146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of 3*x**3\/2 - 2*x. Let d(t) = 2*t**2. Determine d(c(z)).\nAnswer: 162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1683 and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.076539957 and 0.05.\nAnswer: 1.126539957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 49 and 77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -z + 172, -o + 5*z + 38 = -30. Let v be 14*1 + (-2)\/(-1). Let r(b) = b**3 - 16*b**2 + b - 1. What is the remainder when o is divided by r(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20\/(-14))\/((54\/3087)\/(-6)). What is the highest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/1*(-11)\/(-11). Let l be 9\/s*(-28)\/21. Solve -l = 2*a + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4488\/7555 + 9\/1511. Let w = 0.8 - 0.5. Which is the closest to -1\/4?  (a) w  (b) j  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(33)*-2)\/((sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(8))*-1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 81.2, -3, -2225, -1\/5?\nAnswer: 81.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 34, -2, 1.8, -2\/25, 0.5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1458.1091 + -1439.3092028. Let f = -18.8 + n. What is f rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-390)\/(-325)*(-9)\/(-189))\/(-2 + (-9)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8406*u - 1376*u + 153*u + 3334*u in the form w*u + r and give w.\nAnswer: 10517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, s: 3, u: 2}. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 17744 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -4*(sqrt(44) + 2*sqrt(44)) + -2)**2*-4 + 3.\nAnswer: -25345 - 192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 612 and 44?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 6*i**2 + 3*i - 24. Let n be j(-7). Suppose 0 = 4*m - 3*d - 1488, -n*m = 3*d - 786 - 678. List the prime factors of m.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h**2 + 3*h - 4*h + 6*h**2)*(-2 + 4 - 3)*(2*h - 2 + 2)*(-6 + 2 + 1 + (2 - 5 + 2)*(-3 + 4 + 1)) to i*h**2 + q*h + s + l*h**3 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 2 = -4*j. Let k = 5 + -2. Let x = -64 + 78. Solve -x + j = k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 10:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 8, -2*i + 1 = 2*f - 15. Let z be 20\/9 + (-12)\/54. Sort z, 0, f in decreasing order.\nAnswer: f, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468744 divided by -24?\nAnswer: -19531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4272017\/9 != -474670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 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: In base 12, what is 1251 + -7b?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(28\/9)\/(x*(x\/x**(-44))\/x)*x*x**(2\/9)*x*x**1 assuming x is positive.\nAnswer: x**(-116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 8 + -1 + (-1 - 2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 41 + -33. Suppose -4*h - x = -8*h. Suppose b = -h*o + 19, 3*b - 8*o = -3*o + 90. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 9 - 11)*(2 + 0 + 1)*(-708 + 708 + 99*c) to the form f*c + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -311, -574, -817, -1040, -1243, -1426, -1589?\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2, 0.3, -3\/2, -26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, h: 2, g: 1, i: 5, n: 1}. Give prob of sequence nhi.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 - 72 - 46\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*m**2 - 3 + 0 + m**2 - 10 to r*m + l + y*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6103*g + 42735. What is r(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 106412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2468579?\nAnswer: 2468579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 3  (c) -417\/11  (d) -0.09  (e) 14  (f) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -n**4\/8 - 8*n**3\/3 + 9*n**2. Let t be k(-12). Solve 2*r - 10 = 4*r, -a - 3*r - t = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -688460 - -1415760. Round m to the nearest ten thousand.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9184248 nanometers in centimeters?\nAnswer: 0.00000009184248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ryquyrqpqrr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 22*m**2 - 20*m + 24. Give f(-23).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -3. Let j = -2.1 + 1.7. Which is the second biggest value?  (a) m  (b) j  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 0.06, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 577 is divided by 192.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 36 = -5*i, 1 + 2 = 2*i - 3*p. Solve -i*b + 2*b + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 156263004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-279)*(-9)\/(-30). What is the second smallest value in 0.5, u, 10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - -14. What is the common denominator of (1\/4)\/((-1)\/(-62)) and 370\/(-56) + 5\/a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2549471 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -0.4, 2\/1023 in descending order.\nAnswer: 2\/1023, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*v - 17*v**2 + 12*v.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1767 - 3337 + 1570 + 105*h**2 + 2*h.\nAnswer: 105*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 279 - 246. Suppose 29 = 9*k - 7*k - l, -2*k = 3*l - r. What is the greatest common factor of 405 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -20\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 142 in 3, 0, 10, 1\/3, -4, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 533568, 1067112, 1600636, 2134140, 2667624, 3201088, 3734532?\n\"Answer: -10*t**2 + 533574*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3162 and 1512.\nAnswer: 796824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 1072298.\nAnswer: -1\/536149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2052*z**2 + 2681*z.\nAnswer: 4104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240*z**3 + 3859205*z**2 - 15514064400*z + 323208000 = 0. Calculate z.\nAnswer: 1\/48, 8040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - j - 1. Let n be d(-4). Let v = 78 - n. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(1 + 1204\/300 - 5). Let n = 95 - v. What is the lowest common multiple of 12 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1680 and 577920?\nAnswer: 577920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mkmj when four letters picked without replacement from {k: 1, j: 1, m: 12}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -13 + 7 - 6) + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -475, -479, -493, -523, -575?\n\"Answer: -g**3 + g**2 - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 6 + 3. Let b(c) = -c - 3. Let r be b(-5). Let j(l) = 1 + r*l - s. Let h(a) = a. Determine h(j(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 equal to -19.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67785754?\nAnswer: 2, 33892877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 17*b + 2. Let l = -3 + 2. Calculate the remainder when f(-17) is divided by 1\/(0 + l) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**2 + 24*g + 30. Calculate the least common multiple of o(22) and 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*2013\/(4453\/(-73))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14570.\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 11 = -36. Let l be (-2)\/p - (-2830)\/50. Suppose 2*h + h - l = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1900993.\nAnswer: 73, 26041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - (1 + 2)\/(-3). Suppose l - q = -1, t*l + q - 8 = 2*q. Suppose d - l*x = 53, -4*d + x + 4*x + 212 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of k**5\/4 + 95*k**4\/6 + 60*k**3 - 8042*k. Factor a(s).\nAnswer: 5*s*(s + 2)*(s + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5704 and 5547 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-22)\/165*(-80)\/(-4).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -13210132103?\nAnswer: -13210132111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j**3*l**3 - 166*j**3*l**2 + 5675*j**2*l**3 + 3*j**2*l**2 + 548*j*l**3 + 1370*j wrt l?\nAnswer: -6*j**3 + 34050*j**2 + 3288*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-56)\/(-588) + 53924\/42. Suppose 38*t = 34*t + p. Calculate the remainder when t is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z - 7. Suppose f + 0*k = k - 14, -4*k + 1 = f. Let i be r(f). Find the third derivative of -n**2 + 91*n**4 - 91*n**i + 8*n**6 wrt n.\nAnswer: 960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 380 + -372. Let t(j) = -j**3 + 6*j**2 + 7*j + 4. Let y be t(7). Solve -4*l + y = -q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10019?\nAnswer: 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 162477 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -2, -4, 1\/9 in increasing order.\nAnswer: -4, -2, -1\/2, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 1\/2  (b) 4735  (c) -4  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 132, 994, 3320, 7842, 15292?\n\"Answer: 122*l**3 + 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.26 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(272) - (sqrt(272) + 3))**2*-6*4.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1946 and 1141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3041, -6084, -9127, -12170?\nAnswer: -15213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -3, -3\/32, 12 in descending order.\nAnswer: 12, -3\/32, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from {o: 1, s: 1, n: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 2\/9, -70, 7 in increasing order.\nAnswer: -70, -0.3, 2\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, -13, -0.3, -0.34, -2\/17, -27.2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 - 36*b - 257. Calculate q(-7).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r**5 - 3*r**3 - 58*r wrt r.\nAnswer: 60*r**3 - 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 361631 (base 9) to base 13\nAnswer: 78166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 5*t + 223 = -j, -2*t - 4*j + 476 = 0. What is the highest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -4*y - 33. Let f be s(-11). Suppose -5*i + 10 = 0, -3 = 4*t + 2*i - f. Calculate the smallest common multiple of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + 35 - ((2 - -2 - 1) + -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -434.25 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -7*s + 13. Let g(m) = -m. Let o(x) = 6*g(x) - 2*h(x). Let y be o(4). Solve -w - 25 = -2*f + y*f, -3*w = -4*f - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by (45\/20 - 3)\/(12\/(-208)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1.27  (b) -0.048  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/4 of a meter in millimeters?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3854908 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 36894.03?\nAnswer: 147576.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 28 = -4*r. Let g(c) = -c - 12. Let w be g(r). Let u be (2\/3)\/(3\/(-2)). Sort -4, u, w.\nAnswer: w, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*s - 8 - 157. Suppose 5 = -d - 4*d. Let f be (-110)\/s + d\/3. Solve -4*v - 24 = 4*n, 3*n = v - f - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/10 - 106*f - 1059\/10.\nAnswer: -(f + 1)*(f + 1059)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**2 + 0*p**2 - 7 + p**2.\nAnswer: 3*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236156.\nAnswer: 2, 43, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1666)\/(-510) + (6\/((-60)\/26) - -2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11816.5 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {d: 1, h: 3, l: 1, w: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/5*(-10)\/(-3). Let g = -30 + 38. Let n be (-45 + 1)\/(g\/k). Solve 4*v + 3*w - 1 = 0, -v - 4*v - n = -4*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49400 - -3.\nAnswer: -49397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1363470.\nAnswer: 2, 3, 5, 47, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -4*w**3 - 3*w**2 + 3*w - 3. Let i be (1\/(-3))\/(6\/36). Let t(l) = 4*l**2 + 2 - 2*l**2 - 1 - l - l**2 + l**3. Give i*h(k) - 6*t(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**7\/(p\/(p\/p**(-1\/2)*p))*p*(p**18*p)\/p*(p\/(p*p**15)*p)\/p)**(-37) assuming p is positive.\nAnswer: p**(-925\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 5:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14286?\nAnswer: 2, 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 18*j**2 - 12*j**2 - 7*j**2 + 4 - 5. Let q(l) = 2*l**2 - 2*l + 3. Calculate 3*h(y) + q(y).\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 2*c**5 + 8*c**3 + 1 - 2*c - 11*c**3 + (5 + 2*c - 5)*(-3*c**3 + 2*c**4 + 3*c**3) + 2 - 2 - 3*c**5.\nAnswer: -c**5 - 3*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3*x - 330 = 0, 2*u + x - 32 - 188 = 0. Let d(f) = 0 - 6 + u*f - 106*f. Let b be d(2). Solve -2*s = b*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -5544, -136.\nAnswer: -5544, -136, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48, 71, 116, 189, 296?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 4*b + 8270 = 0, t = 4*b - 8*b + 4129. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 60*r**2 + 57*r + 238. Is 9 a factor of k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**2*w**3 - 96*f**2*w**2 - f*w**2 + 114*w**3 - 2*w**2 wrt w?\nAnswer: 6*f**2 + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7714016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -543688 divided by -3\nAnswer: 543688\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.15 + -0.6. Let r = k - -0.25. Let l = 3.7 - 4. Which is the biggest value?  (a) 0.1  (b) l  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 + 21. Suppose 2*n + 10 + d = 0. Sort 0, -4, n in ascending order.\nAnswer: n, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2252283 < -2252288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = u - x, 4*x - 15 = 2*u - 63. Let m be 4 + (1 + 1)\/(-2). Suppose -m*r + 84 + u = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12708717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 3*d**5\/80 + d**4\/16 - 13*d + 10. Let w(o) be the first derivative of z(o). Determine u, given that w(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -14) + 3*-2. Calculate the remainder when 39 is divided by ((-2)\/(-16)*t)\/(2\/20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 145 + -279. Let t = 246 + o. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -13.8. Let t = 1.1 - 1. Let s = z + t. Sort 1, s, 2\/3 in increasing order.\nAnswer: s, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 5. Let m be f(-6). Let d be 3*(m*20)\/2. Suppose 4*x = -4*t + 6 - d, -5*t + 15 = -4*x. Sort 4, 3, x in descending order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26300 + 26307.835. Round j to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -m**2\/2 + 27*m - 87. Let y be d(32). Let u(r) = -r**2 - 8*r - 4. Calculate u(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131 + 134*m**3 + 3*m**2 - 39*m**3 - 93*m**3.\nAnswer: 2*m**3 + 3*m**2 + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 13 - 1. Let r = 8 + m. Let i = r - -3. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 196*l + 4781. Give s(-28).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**3 - 7 + c**4 + 18 - 2*c**2 - 8 + 2 in the form j*c**4 + d*c + t*c**2 + m + n*c**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the third derivative of 2\/9*j**5 - 2\/63*j**7 - 1\/36*j**4 + 0*j - 1\/504*j**8 + 1\/90*j**6 + 9*j**2 + 0 - 10\/9*j**3. Let c(y) = 0. What is y?\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*v - 5*v + 22*v = 200 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 349.7544 years to decades.\nAnswer: 34.97544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 49.9?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(75)*4*5.\nAnswer: -100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000037177 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 100207616 to the nearest 100000.\nAnswer: 100200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 813 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.147 - -1.327. Let c = -96220.4099941 + 96219.23. Let i = z + c. What is i rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - n**2 - n + 6. Let y be x(0). Suppose 3*c + 6 = r, -y = -r - 0*c + 4*c. What is the lowest common multiple of 8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15592229417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -526 - -753. Let z = 13 + -8. Suppose 2*b - 10 = 0, 4*d - v = z*b + 80. 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 the hundred thousands digit of 47695153?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2. Let w(p) = 511*p. Determine j(w(a)).\nAnswer: 261121*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5755452.22 and -302.23?\nAnswer: 5755149.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.8452831ng?\nAnswer: 0.0000000000008452831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 55121622 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*k - 474 = 0, 4*k + 36 - 202 = -u. Calculate the remainder when u is divided by 27 - (-1)\/(6 + -7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -12*t**2. Let z(j) = 5*j**2. Give d(z(a)).\nAnswer: -300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 0*h - 387 = 5*r, -5*r = 5*h + 355. Let v be (-40)\/r*3\/2. Let j = 3.53 - 1.53. Which is the closest to j?  (a) 0.5  (b) 3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 6)*(-6)\/(-5). Let a = 4 - m. What is the units digit of (-2 - (-2)\/a)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12012021 (base 5) to base 8\nAnswer: 327265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, 0.03, -9, -4\/11, 1, 3\/67 in decreasing order.\nAnswer: 1, 3\/67, 0.03, -1\/9, -4\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.0126211945 + 39860\nAnswer: 39859.9873788055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * -1428.\nAnswer: 32844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -f**5\/60 - f**4\/12 + 22*f**3\/3 + f**2 + 150. What is the remainder when 98 is divided by h(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1424 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -p**8\/13440 + p**7\/840 - p**6\/120 + p**5\/30 - p**4\/24 + 3*p**2. Let m(z) be the second derivative of f(z). Factor m(j).\nAnswer: -(j - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j**2 + 10*j - 2. Let s(u) = -u**3 + u**2 - u + 1. Let p(f) = n(f) + 2*s(f). Factor p(v).\nAnswer: -2*v*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 251 + -359. Let z = w - -106.68. Let j = -1.32556 - z. What is j rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3. Let y(b) = 4 - 1 + 4 + 2 - b. Let x(j) = 17*w(j) + 6*y(j). Differentiate x(h) with respect to h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -69 - 3?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1545\/572 or -2\/7?\nAnswer: -1545\/572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 29 + -30 - (-25)\/10. What is the closest to -1\/3 in h, 131, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59239019963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 4*k - 2. Let o be i(2). What is the third derivative of 1026*v**5 - 5*v**o - 1026*v**5 + 10*v**6 wrt v?\nAnswer: 1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13140088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1661, 1659, 1657, 1655, 1653?\n\"Answer: -2*q + 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**2\/3 - 196294*n\/3.\nAnswer: -2*n*(n + 98147)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*n + 10 = 0, -4*s - 4*n - 37 = 83. Let i = 46 + s. List the prime factors of (132\/i)\/(-1)*-5.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppzp when four letters picked without replacement from zpppzppppppppppppz.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.24712933 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 160 and 8440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 - 34. Let r(m) be the first derivative of m**s - 1 + 4*m - 1\/3*m**3. What is r(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1995*s + 99321 + 27390 = -64809 for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1724972382 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 25. Let c(f) = -f**3 - 5*f**2 + 3*f + 5. Determine c(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 101 - 7266399?\nAnswer: -7266298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 126.3 - 121.30125. Let v = 26 + -21. Let w = g - v. Round w to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**2\/i**(-4\/9)*i*(i*i*i**(-6\/11)*i)\/i*i\/(i\/i**(-1\/3))*(i\/((i**3*i)\/i))\/(i*i**(-3)*i)*(i**0)**(3\/37) assuming i is positive.\nAnswer: i**(353\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/81)\/(170\/204)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 0 + 9*j - 13*j - 2. List the prime factors of c(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0168 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -698 + 705. Let d = -1 + 3. Suppose -6*i**3 - m*i**3 + 3*i**d - i**2 + 7*i**3 = 0. Calculate i.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(910\/39)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*l - 44 = 14*l. What is the derivative of l*f**2 + 56 - 13 + 2*f - 12*f wrt f?\nAnswer: 8*f - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u + 1. Let t(y) = -y**2 + y + 5. Let z(b) = -4*f(b) + t(b). Let i(d) be the first derivative of z(d). Differentiate i(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**5\/11 + 5900*v**4\/11 + 213924*v**3 + 2341360*v**2\/11 - 2353162*v\/11 - 2347260\/11 = 0. Calculate v.\nAnswer: -355, -1, 1, 3306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 32\/5 in -3\/7, -0.29, -5, -2, 1\/28?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-26)\/72*(-12 + 2) and -97\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1015 + 43197*t - 1015 - 43191*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -288255\/26 + 11085. Calculate the common denominator of -67\/28 and s.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 3*q + q. Let v(g) = 2*g**3 + 11*g**2 - 4*g - 11. Let h(r) = -r**3 - 6*r**2 + 2*r + 6. What is q*h(f) - 6*v(f)?\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 6*l**3 + 93*l**2 + 144*l - 656. Give v(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 816?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 11:11 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-50))\/(7\/((-350)\/15))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7b + -b?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s. Let v(i) = 2679*i. Calculate v(u(y)).\nAnswer: 2679*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, q: 3, d: 2, z: 2}. Give prob of picking 2 d and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 124261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-10))\/(4\/(-300)). Let x = h + -27. Is (x - 2) + 215 - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 10:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 9. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 5*n**6\/6 - 3*n**5 - 25*n**4\/4 + 5*n**3 + 10*n**2 - 12. Factor g(d).\nAnswer: 5*d*(d - 4)*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.036 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -b + 2*t + 6, 0*b + 4*b - 17 = -6*t + 21 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 47839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m**3\/4 - 22011*m**2\/4 + 322263*m\/4 + 142155\/4 = 0. What is m?\nAnswer: -3159, -3\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((468\/(-54))\/26)\/((11\/(-429))\/(3\/(-12)))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104) + sqrt(104)*1 - sqrt(104))*-1 - (sqrt(104) + (sqrt(104) - (sqrt(104)*1 - sqrt(104))*2)))*4)\/((-5*1*sqrt(72))\/(-5*sqrt(18)\/sqrt(2))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -236654 (base 8) to base 9\nAnswer: -133500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -71*c**3 + 158 wrt c.\nAnswer: -213*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k**3 - 5*k**2 - 6. Let l be g(-4). Suppose -3*w - l = -4*r, w - 2*r - 14 = 3*w. Let s be 10\/(-4)*5\/(w\/4). Solve s = 3*f + 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-3)*-1*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000040401163 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -522254?\nAnswer: 522251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 121399, 242796, 364191, 485584, 606975, 728364, 849751?\nAnswer: 971136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**5 + 170610885*r**3 - 248190*r**2 + 69*r - 2 wrt r.\nAnswer: 60*r**2 + 1023665310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000001 (base 2) in base 11?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2 = 0, -2*f + 4*f = -w - 8. Is 13\/w*4*(-215 - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 0 + 12)*(1504*j**2 - 238 - 223 - 1502*j**2).\nAnswer: 44*j**2 - 10142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of ((-1)\/(-8) + 6055\/(-56))*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.043?  (a) -1421  (b) 1\/7  (c) 5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 + 8*z + 1. What is the lowest common multiple of f(3) and 7?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.5 + -7.5. Which is smaller: c or -1\/26?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t\/t**(2\/39)*t)\/t*t*t**(2\/35))\/(t*t**(11\/5)\/t)**25 assuming t is positive.\nAnswer: t**(-70972\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i + 2. Let t be j(3). Let a = 12 - t. Solve 0 = -4*z - 3*r + a, 2*z - 4*r = -3*z - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 5*t**2 + 5*t + 4. Let g be y(-3). Calculate the smallest common multiple of 6541\/217 - 2\/14 and g\/(21\/(-6)) + 12.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6721094.2 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2861 = -50*k + 16061. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 + 35. Let r(f) = -2*f**3 + 10*f**2 + 17*f - 28. Let d be r(6). Let i(n) = -d*n**2 + 3*n**2 + 30 - 32 + 2. What is i(q(m))?\nAnswer: 4*m**4 - 140*m**2 + 1225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45117334 to the nearest integer?\nAnswer: 6717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 5b5c?\nAnswer: -5b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34 + 42. Let u be 2 + -6*(-1)\/2. Suppose -u = j - r. Solve -6*v + j*v + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6 + 15 + 348*h**3 + 187*h + 295*h - 9 wrt h.\nAnswer: 2088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -161, -1194, -4009, -9500, -18561, -32086?\n\"Answer: -149*i**3 + 3*i**2 + i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 226*f - 7915. What is c(-41)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1295\/35*923\/481?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.6 - -2.6. Let h be 72\/27*12\/8. Sort 3, -0.22, h, s in descending order.\nAnswer: h, 3, -0.22, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.178 - 0.07. Let g = x - -1.718. What is g rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 13*c**2 - 13*c - 7. Let p be a(-15). Let m = p + 935. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, d: 4, w: 3, h: 1, f: 3, l: 6}. Give prob of sequence df.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.22 - 0.220022. What is c rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 461025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13622471 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 + g + 1. Let x be v(-4). Let h = x + 0. Let f = 20 - h. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.581 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -10. Let b(q) = 7*q - 7. Let s(f) = -6*f + 6. Let d(v) = o*b(v) - 6*s(v). Let g(x) = 11*x**2 - 9*x**2 - 4*x + 6 - 2*x. Determine -6*d(r) - g(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from {k: 5, s: 2, a: 4, b: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14120725 is divided by 745?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 279328 by -100.\nAnswer: -69832\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 3*(5 + -4 + (5 + -2 + (-3*sqrt(99)*5)\/sqrt(9))**2).\nAnswer: -270*sqrt(11) + 7453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d. Let u(w) = 7*w - 11. Calculate u(r) - 5*x(r).\nAnswer: 2*r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 67031 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, -0.4, 1, 0.087?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.5, -47, -1, -325, 0.2 in ascending order.\nAnswer: -325, -47, -2, -1, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 + (-36)\/7 + 427015\/7 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.06, -4, -6, -0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 8 - z + z**2 - z**3 - 4*z**2 + 11*z**2. Let r = -19 + 27. Let v be a(r). Solve 5*i + 15 = 5*x, -4*i - 2 = x - v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 105120 divided by 2628.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 4:43 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - r - 5 = -5*g, g = 5*r + 28. Solve -3 = 2*j - g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33810853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 3*t - 1. Suppose 4*j = -j + 5. Let z be u(j). Factor b**2 + b**2 + z - 4.\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 333 - 153. What is the greatest common divisor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7319, -15099, -22879, -30659, -38439?\n\"Answer: -7780*g + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14313149 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/15*2)\/(12\/(-15)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 129 = -5*p - 138, 2*h = -p - 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 970 and 4850?\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 12625400 to the power of 1\/2, to the nearest integer?\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.093 + -4.093. What is the second smallest value in -2, s, -83?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 + 22. Let y = g + -1. Let m(w) = -w**3 + 9*w**2 + 9*w - 4. Is m(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2455 and 51555?\nAnswer: 51555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.15 + -0.15. Which is the closest to 0?  (a) d  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q**2*q)\/q)\/(q**1\/q))\/((q*q*q**(-2\/5))\/q**7) assuming q is positive.\nAnswer: q**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -39862.\nAnswer: 1\/39862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -466 (base 8) to base 3\nAnswer: -102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 2. Suppose -u = 3*t + 15, 0 + 20 = -4*t + u. Let l be z(t). Suppose 4*s + 20 = -4*m, -5*m - 5*s = -l*s + 25. Sort 3, m, -3 in ascending order.\nAnswer: m, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - l - 5 = 0. Sort l, -31, -2 in ascending order.\nAnswer: -31, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**6\/144 - 7*o**5\/60 + o**4\/2 - 7*o. Let s(z) be the third derivative of j(z). Does 9 divide s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -3. Let v = -1 - 24. Let x be (v\/2)\/(b\/4). Solve -11 = -2*d + 5*r + 22, r = 5*d - x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 7*f**2 + 18*f + 24. Let t be z(-6). Let q = t + -174. Let a(o) = -o - 1. Give a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - ((-132)\/(-11))\/12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.9 - 3.609. What is d rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 - -26. Let n = m - -1. Suppose -17*w + 527 = -0*w. What is the remainder when w is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1043*v + 486*v - 3548*v**3 - 1644*v - 1739*v - 2269*v**3 wrt v?\nAnswer: -34902*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-10)*(-20)\/(-8). Let a(s) = s + 1. Let l(m) = -8*m - 2. Let g(p) = -2*a(p) - l(p). What is the remainder when 22 is divided by g(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/9*15\/10*-4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10256 (base 8) to base 13.\nAnswer: 1c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 3*u + 3. Let o = -19 - -21. What is c(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -11*b - 10. Give t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 41*f - 36*f - 450. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 179\/60 and -11\/216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 5*w**2 - w - 3. Let l be p(4). Suppose -3*x - 108 = -3*o, -l = 5*x + 16. Suppose -3*d = -2 - o. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-4 + sqrt(76)\/sqrt(4) - sqrt(19)) - (0 + 0 + sqrt(2736)).\nAnswer: -12*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 352929 is divided by 27148.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 68)*(-2*c + c + 0*c + (-1 + 1 + 1)*(0 + 0 + 2*c)).\nAnswer: 68*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -15*a**2 + 15*a + 7. Let u(c) = -7*c**2 + 7*c + 3. Give 2*g(r) - 5*u(r).\nAnswer: 5*r**2 - 5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, b: 7, n: 3, p: 2, u: 4}. What is prob of picking 3 n and 1 a?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2759095196 rounded to the nearest one million?\nAnswer: 2759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2031889\/42 + -48381. Let r = -39\/14 - f. What is the closest to r in 0.5, 4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - 11. Suppose -o + 80 = s*o. Suppose i - 2*i + o = 0. Solve -2 - i = -5*u - 4*l, 10 = 5*l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2859\/2 or -1430?\nAnswer: -2859\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/6 - (-28)\/6. Suppose -10 = -w*x - 0*x. Suppose 5*o = 3*o - x*f + 2, -o - 7 = 5*f. Solve -6*k - o*t = -3*k + 15, -4*t - 11 = -5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*g = -94*g + 160 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) 1  (c) -1  (d) -0.4  (e) 2636\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -0 + 12. Factor 9*j**3 - 10*j**t - j + 3*j - j**2.\nAnswer: -j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -14. Let v(f) = 9*f - 2. Let g be v(h). Let w(o) = -o**3 - 9*o**2 + 14*o + 11. What are the prime factors of w(g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 4 - 3\/(6\/112). Let t be (v\/14)\/(2\/(-14)). What is the highest common divisor of 150 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -356*l**3*r - 14*l**3 + 3 with respect to r.\nAnswer: -356*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 2524562.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 507 (base 8) to base 6.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(5\/8)))\/(x*(x**(-12)\/x)\/x) assuming x is positive.\nAnswer: x**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*u + 551 - 11 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-4\/5)*f**(1\/5)\/f)\/((f**(1\/4)\/f)\/f*f*f**6))\/((f**1\/f)**(4\/7)*((f**(4\/7)\/f)\/f)\/(f**(1\/2)*f)) assuming f is positive.\nAnswer: f**(-549\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1309.166 + -1307. Let m = 0.166 - j. Which is the biggest value?  (a) -0.2  (b) -5  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {y: 7, z: 4, a: 5, c: 2, v: 2}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*(sqrt(77)*-2 + sqrt(77) + sqrt(77))*-3)\/(sqrt(21)\/(sqrt(27)*-1 - sqrt(27))*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of -3*d**3 - 16*d**2 - 12*d. Does 13 divide i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 569 and 68280?\nAnswer: 68280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*o = 2*j + 40, 3*j - 11 = -4*o. Let c = -35\/86 + -4\/43. Suppose -f - 3 - 2 = 0. What is the nearest to 1\/4 in j, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -6, -9, 22 in decreasing order.\nAnswer: 22, 5, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -600 + 184. Let d = -282 + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 5*w + 1. Let d(y) = 255*y**3 - 6*y**2 - 28*y - 6. Calculate d(u) + 6*k(u).\nAnswer: 255*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35996067?\nAnswer: 3, 3999563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -78?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 5962.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 35.78+-61.7\nAnswer: -25.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -r + 5*l, -5*r = l + 3*l + 84. Let o = 35 + r. Suppose -o*q - 30 = -21*q. Solve q = -v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 457562963 + -324862963. Round p to the nearest one million.\nAnswer: 133000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -40\/9 + 2\/9*a**3 - 32\/9*a - 2\/9*a**2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3*(-1)\/6*-142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 12, m - t + 604 - 595 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 36 = -3*z + 14, -2*z + 5*r = 0. Suppose 4*b + z*k - 5*k = 54, -k = -b + 9. Let c = b - 7. Solve c*g = -3*y - y + 28, 0 = -5*y + 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -69*a**3 - 15*a**2 + 11*a + 24. Let f(j) = -34*j**3 - 7*j**2 + 5*j + 11. Let k(y) = -13*f(y) + 6*r(y). Calculate k(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1 + sqrt(9)\/sqrt(3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 12:43 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 175*j - 164. Let w be y(8). What is the hundreds digit of 20\/50 - w\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -19. Let s = 67 + g. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/3, -4276, -10, 2\/5 in descending order.\nAnswer: 4, 2\/3, 2\/5, -10, -4276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4*42.4281\nAnswer: 169.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**4*o\/(o\/(o**(11\/6)\/o))*o)\/(o**21\/o*o*o**(-2\/17)\/o))**26 assuming o is positive.\nAnswer: o**(-18629\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, m: 4}. Give prob of sequence dmmd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence olhr when four letters picked without replacement from jlohr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-4*5*((-3 + sqrt(243))*-4 + sqrt(243)) + 3)**2.\nAnswer: -1030320*sqrt(3) + 3726729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 2*a**2 - 7. Let f be -5*1 - (3 - (14 + -6)). Give l(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1136*g - 23 - 20 + 1072*g + 10 wrt g.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**11)**21 assuming o is positive.\nAnswer: o**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/42)\/((-29)\/(-609))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 111 = 31. Let q be 5\/i + (-579)\/(-24). What is the greatest common divisor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2341 - 11547 = 496*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64710, -62781, -60852, -58923, -56994, -55065?\nAnswer: -53136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11310201110 (base 4) in base 6?\nAnswer: -52412032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2430859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 464 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24235 - 24245.733. What is l rounded to one dp?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ea3b (base 15) to base 2.\nAnswer: -100100110100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 - 5*r**2 + 6*r. Let h be v(3). Suppose -w - 3*w + 3*f + 2103 = h, 20 = -4*f. Is w a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48272 is divided by 24069?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/4 of a kilogram in grams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9072 and 2592?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-6) - (-2)\/(-1 + -3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-37)\/(1 - (-2)\/4*77). Let d = 6043\/632 + u. Find the common denominator of d and -25\/47.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + 12*w + 5. Let y = 2 + 10. Let o be n(y). Suppose 4*l + 235 = o*g, -78 - 162 = -5*g + 3*l. Is 30 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 1768?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 7*n**2 - 8*n + 14. Let a be k(-6). What is the highest common divisor of 338 and a?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -36817.\nAnswer: -25\/36817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1280 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -631\/10 + 183\/5. Let n = z + 27. Factor -9\/2*q**2 + n*q**3 - 27\/2 + 27\/2*q.\nAnswer: (q - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**2 - 480*v - 14400.\nAnswer: -4*(v + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 835*l + 3 - 7380*l - 6.\nAnswer: -6545*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 9:26 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 390327.54 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 25 = 0, 0 = 2*u - 84*y + 88*y - 51614. What are the prime factors of u?\nAnswer: 11, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7338, 7365, 7392, 7419, 7446, 7473?\nAnswer: 7500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4626577 (base 8) to base 5.\nAnswer: -310204311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-8))\/((-11)\/176)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 + 5 + 393 + -4?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i = 2*v + 66, -2*v - 1139 = -i - 1118 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 763806236.\nAnswer: 2, 137, 1393807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 2\/9, 8, 4 in decreasing order.\nAnswer: 8, 4, 3\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13924*s - 11850*s = -153476 for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:41 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g - 5*x + 5, 21 - 16 = g + 3*x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-5)*25\/10. Let u be (-834)\/(-4) + m\/4. Suppose 0 = 3*q - 97 + 19. What is the highest common divisor of q and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 3*m = 25 - 27, -m - 2 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 2. Let o = 1522 - 1521. Which is the closest to w?  (a) 0.3  (b) -5  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**3 + 4*y + 6. Let d(b) = -5*b**3 + 7*b + 11. Let v(h) = 4*d(h) - 7*i(h). Differentiate v(p) wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.97 + 0.03. Let q = r + -3.04. Let g = q + -3.96. Sort 5\/4, g, -5 in decreasing order.\nAnswer: 5\/4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9768637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - 9*f**2 + 8*f - 3. Let n be b(8). Let k(g) = -7*g - 17. Is k(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/19 or -3716131\/5?\nAnswer: -3716131\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 54, 595 in ascending order.\nAnswer: -5, 2, 54, 595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from sxuxuyysussyxuxu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26551 is divided by 557.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 4*z - 60, 2*z = h + 9 + 8. Let w be -3*(3 + h\/3). Suppose 0 = -2*b + w*b - 23400000. What is b rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, u: 1, x: 1, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 23036424.935 to the nearest 100000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 4*v**2 - 8. Let h be u(-4). Let o be (-2 - 12\/h)*-2. Solve x + o = -0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 2428*l**2 + 64*l + 124. List the prime factors of r(-2).\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 plus -415979.44277?\nAnswer: -415979.34277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11098 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 3*j**2 + 15*j - 1. What is c(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.01, -1\/3, 1291?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00161757179 rounded to 7 decimal places?\nAnswer: 0.0016176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10369556523535.4 less than -0.3?\nAnswer: -10369556523535.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1\/6  (b) 1\/5  (c) 2\/39  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 589  (b) 0.3  (c) 2  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -26*q + 55. Is v(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 907 (base 15) to base 5.\nAnswer: 31112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + (13 - 1) + -2. Suppose f*p = 11*p + 20. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s. Let j be h(2). Let o be 3\/j*-2 + -2. Calculate the remainder when 59 is divided by (o - -18) + -1 + 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -5*a**3 + 3*a**2 + 2*a**2 - 6*a**3 + 12*a**3 - a. Let y be h(-5). Solve -y*f + 8 = 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 + 68*s**2 + 129*s - 237. Let p be y(-66). Which is the smallest value?  (a) p  (b) -1  (c) 0  (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 67 - 101. Let d = g - -34. Suppose 5*x - 30 = -3*f, 0 = 2*x + 8 - 2. Solve 4*l - c = -5, d = -c - 4*c - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = x + x. Let a = 29 + x. 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 u(s) = s**3 - 5*s**2 + 2*s - 3. Let v be u(5). Let z(y) = 2*y + 3*y - v*y. Let k(r) be the first derivative of 5*r**3 + 120. Determine k(z(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fwfe when four letters picked without replacement from aaaaaaaawafezaafa.\nAnswer: 1\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 24803 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 - 12*o + 13. Let r be q(5). Suppose -13 = -r*c + 14. Let s(l) = -3*l + 10. Determine s(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**4\/4 + 28*c**3\/3 - 77*c**2\/2 + 19*c + 210. What is the units digit of i(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.003 - 0.397. What is the second smallest value in -5, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1535004 + -5?\nAnswer: 1534999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*y - 151944 - 708600. Calculate the greatest common divisor of 192 and y.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 + 0*s**2 - 536*s - 5441*s + 1.\nAnswer: -3*s**2 - 5977*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4678, 18770, 42278, 75202?\nAnswer: 117542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(-21) - 6600\/(-56). Let k = 155 - w. Calculate the greatest common factor of 111 and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-6)*45\/(-10). What is the second biggest value in -1, c, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/3, -4\/7, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b - 2*b - 13*b + 9 + 3 = -3*m, 6*b = m - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**25*p**(-3\/7) assuming p is positive.\nAnswer: p**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -183 + -1 + (23255 - 23126)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -22*i**2 - 2*i - 3. Calculate l(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(3 + (4 - 3)). Let a be 6\/9 - i\/(-15). Solve -a*x - 2*w + 3 = 1, -4*w = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 319550844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/45*0)\/((-1)\/(3\/12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9316428613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:30 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + -102fef4?\nAnswer: -102feed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 113\/22  (b) 0.02  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of t**3\/3 - t + 1. Let x(b) be the third derivative of -b**5\/20 + 2*b**3\/3 - 11*b**2. Give 7*f(k) + 2*x(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogn when three letters picked without replacement from gjgoigganjajaaaagg.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -52 and 15560798.\nAnswer: -809161496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.5 < -17.78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -83*b. Let l(j) be the second derivative of j**4\/6 - 5*j + 2. Determine l(c(t)).\nAnswer: 13778*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxixxxx. What is prob of picking 2 x and 1 i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, r: 4, d: 11}. Give prob of picking 2 d and 1 r.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3570 - 3573. What is the biggest value in -2, 1, 0.2, 6\/97, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8\/23 - -132\/115. Let y = 105 - 522\/5. Put -0.3, q, y, 0 in decreasing order.\nAnswer: q, y, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m - 10*m = 480. Suppose -m + 152 = 2*i. Suppose 4*y = -16, r + 5*y + i = -r. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31 + n + 56 - 22.\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from hzdhjmhjhmjmmhhmmd.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -5*f**3 - 2 + 4*f**3 - f**2 - 2*f**2 - 2*f. Let x be b(-3). Suppose 0 = x*g + 2 - 10. Solve 4*i + p - 14 = g, p = 5*i - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1504b14 (base 13) to base 6\nAnswer: 355250242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 22 + -42. Let s = g - -302\/15. Let b = -73 - -72.9. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from iioiiiiik?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**5 + 11213308*m**4 - 10478047652664*m**3 + 3263489218032617160*m**2 + 124028129878450256700*m - 127291608618446434500 = 0.\nAnswer: -39, 1, 934455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19294 = -28*y + 138. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -952?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 27531367 (base 8) in base 16?\nAnswer: 5eb2f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 127*n - 137*n + 180. Suppose -10230 = -n*y + 30. What is the highest common factor of y and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 49*s - 582. Calculate the remainder when g(16) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 5:21 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1462751 or 1462717?\nAnswer: 1462717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**5\/5 + 129*p**4\/5 + 8686*p**3\/5 + 130106*p**2\/5 + 46935*p + 22625 = 0. Calculate p.\nAnswer: -25, -1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 7, f: 8, h: 3}. What is prob of sequence zff?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.5 and 1647731.\nAnswer: 1647731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1183 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of n**4\/6 + 11*n**3\/6 - 221*n**2. Calculate l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*y - 5*i + 421424, 5*y - 421409 = 2*i. Let z be (-2)\/4*(3 + -2 - 7). Suppose -y - 65717 = z*r. Round r to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {j: 2, i: 1, c: 7, q: 6, a: 2}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w**2 - 1. Suppose 3*i - 5*i - 2 = 0. Let c be k(i). Solve 0 = 2*h + l - 0*l - 6, 2*h - 6 = c*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 264 divide 22367278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 1. Let x be y - ((-6)\/(-2) - 2). Let i(j) be the third derivative of -j**5\/12 + j**4\/24 - j**3\/6 - 5*j**2. Give i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 - 12. Suppose -z = -w*z. Solve z = -f + 4*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3876)\/(-38)*2\/(-8)*-34. Which is smaller: 869 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 + 15*c + 14. Suppose 0 = -6*a + 3*a + 42. Let u be i(a). Suppose -4*x - u = -228. What is the highest common divisor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nfzu when four letters picked without replacement from {c: 1, y: 1, z: 2, u: 1, n: 2, f: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.4152mg in tonnes?\nAnswer: 0.0000000864152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 0.1, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3196 = 48*w - 5444. What is the highest common divisor of 405 and w?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -3, -1\/11 in increasing order.\nAnswer: -4, -3, -1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**8\/224 - j**7\/105 - j**6\/30 + 3*j**5\/20 - 11*j**4\/48 + j**3\/6 + j**2 - 466. Suppose d(n) = 0. What is n?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 3, s: 5, f: 5}. What is prob of picking 2 b and 2 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-9 + (8897\/620 - 12\/2))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.6 - 4171373370004.\nAnswer: -4171373370007.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 4:32 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5519, 5, -3.\nAnswer: -4, -3, 5, 5519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + q)*(-3*q**2 - 2*q**2 + q**2)*(-q**2 + 4*q**2 + 2*q**2 + (4*q + 2*q**2 - 4*q)*(3 - 1 + 0) + 3*q**2 - 3*q**2 + 2*q**2).\nAnswer: -44*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkwk when four letters picked without replacement from skkwkks?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -144470, -288942, -433414, -577886, -722358?\nAnswer: -866830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of 7*r**6\/6 - 9*r**2\/2 - 3. What is the second derivative of f(x) wrt x?\nAnswer: 140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.18, 27\/25, 0, -22 in ascending order.\nAnswer: -22, 0, 0.18, 27\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1448.872 tonnes?\nAnswer: 1448872000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15118 - -45352\/3. Which is the second biggest value?  (a) 0.6  (b) l  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -256*d + 2688 - 128 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/319 and 68\/3.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -29. Suppose 2*v + j = 5*o + 7, v = -5*o + 9. Solve y = -n - 5, -v*n - 2*y = -0*y + 16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -165, -149, -143, -165, -233, -365, -579?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 11:02 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 10:16 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*c - 16*c + 13*c. Put c, 16, -2 in decreasing order.\nAnswer: 16, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of o**7\/840 + o**6\/120 + o**5\/60 - 5*o**3\/3 + 3. Let f(p) be the third derivative of i(p). Determine r so that f(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 + 13. Suppose 2*m + 107 = 5*g, 4*g + 31*m - 36*m = 89. Let v = g - s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1270 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9855570 - 3195940 = 410*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + 11. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1127322851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258*m = -214*m - 2900102 + 1017474. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76520586 and 690.\nAnswer: 382602930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17 + 27 + 5)*(3*i**2 + 3*i**2 - 4*i**2) to the form l + v*i + k*i**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/2 - (-1)\/2. Let y = -18 + 21. Solve -3*l = -5*d - 19, c*d + 3*l = y + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12*2\/(-15))\/(84\/210)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 391*j + 103385. Give l(-263).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -0.1. Let x = -0.229 + 4.349. Let c = 0.12 - x. Sort r, 0.5, c.\nAnswer: c, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -393 - -404. Suppose 5*f - 1 + 51 = 0. Let a = d - f. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(-6)*(1 + 0). Suppose 5*c - 4*u + u - 32 = f, 0 = -4*c - 4*u. Suppose 3*i = -6, -6*v + c*i + 18 = -v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + 11 - -1 - 7 - -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6bb7 (base 12) to base 9\nAnswer: 17524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3355 + 0.0645. What is the third smallest value in -0.3, 2\/9, x, -9\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -41.356 and -5.\nAnswer: -46.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, t: 2, m: 2, f: 1, o: 4, q: 4}. What is prob of sequence pqt?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36 - (-42159)\/1170)*(-18)\/4.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1660617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2*z - 6*z - z + 1 + z**2. Calculate n(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/82 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 529500 divided by 5.\nAnswer: 105900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 19, -4, 4, -8, 437, 0 in decreasing order.\nAnswer: 437, 19, 4, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p**2 - 5*p + 24. What is the remainder when 233 is divided by h(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 5032\nAnswer: -5029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 8:44 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 850971 >= 850972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 250.6816ml to litres.\nAnswer: 0.2506816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 2  (c) -0.5  (d) 4  (e) 3\/5102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x**2 + 9*x + 4. Let p(j) = -4*j**2 - 8*j - 4. Let v(d) = -4*p(d) - 3*q(d). Let k be v(-4). Find m such that -1 - 2*m**4 + 2*m**2 + 1 + k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 152 times 37.5\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 169*q**2 + 5044*q + 37636 = 0.\nAnswer: -194\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12923777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -8*w + 510. Give y(-43).\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000038956 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1561 is divided by 299?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 2\/7, -111, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 474142687 to the power of 1\/3, to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o + 2*n - 7*n - 58 - 7, 0 = 281*o - 285*o + 4*n + 88 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 26\/(-40) - ((-738)\/(-45))\/(-41).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 - (0 - -7) - (0 + -5). Solve 10 = 2*x - 5*i - 7, s*x + 5*i + 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*3*(-2 + 1). Let f be (-4)\/10 + (-147)\/(-105). Suppose f + 0 = m - a, 5*a - l = -3*m. Solve -2*k - m = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11.2 in 4\/9, -0.5, -20.8, 40?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2094 = 7*p - 1469. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -3\/2  (b) 1\/5  (c) 1\/6  (d) 5  (e) -16059  (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2*g + 4 - 2)*((6*g - 3*g - 2*g)*(-4*g + 3*g + 0*g) - 61 - 30*g**2 + 61) + 10*g + 8*g**3 - 10*g to the form t*g + b*g**2 + o*g**3 + r and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/((-270)\/(-9)))\/(-1)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3314 + 30 = -304*u. Let i(x) = -1 + 3*x**2 - 10*x - 4*x**2 + 3. Calculate i(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -445624 + -44?\nAnswer: -446001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.119 take away -54?\nAnswer: 53.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 393859367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 2*b**2 - 2*b. Let d be ((-1 - -4)\/3)\/1. Let t be (d - -1)\/(-2) + 3. Let s(h) = -h**3 + 3*h**2 - 3*h - 1. Calculate t*s(j) - 3*u(j).\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-31)\/((x*x\/(x*x**40))\/x)*(x\/x**(4\/5))\/x**(-27) assuming x is positive.\nAnswer: x**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.94 - 0.14. Let r = 0.2 + n. Let x = r - 1.9. Which is the closest to -0.1?  (a) x  (b) -0.2  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u + 4 + 14*u - 4.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 4*b + 192, -5*z = -3*z - b - 117. Calculate the smallest common multiple of z and 21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**2 + 5*g - 2. Let q(m) = -7*m**2 - 11*m + 5. Suppose 0 = 3*c + 4 - 16. Calculate c*q(n) + 9*k(n).\nAnswer: -n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 11:56 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 - 15*q + 7. Give h(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 5*b - 4, -b - 1 + 9 = -3*o. Let q(t) = -t + 17. Let p be q(21). Put o, p, 1 in decreasing order.\nAnswer: 1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/(-2)*(-4 - (-73)\/18) and 266\/64 - (-69 + 70).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/32*-4*(-16)\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.07 - 1.93. Is 0 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 74*j**3\/3 - j**2 - 11*j + 25. Let b be f(4). Let t = -116 + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2592600547.\nAnswer: 13063, 198469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 16.5 and -3266.649?\nAnswer: 3283.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 + 5*x - 2. Suppose 4*j + 0*j - 16 = 0. Let m be r(j). Suppose m*i - 7 = 21. Calculate the least common multiple of 6 and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/163963 and 71\/4.\nAnswer: 655852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/((-27)\/3))\/((11*18\/1485)\/4).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 15*g**2 - g - 11. Let o(n) = 4*n**2 - 152*n + 210. Let v(a) = -a**2 + 38*a - 53. Let p(d) = -2*o(d) - 9*v(d). Let r be p(36). Calculate h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 202 = -2*c - 180, c + 4*i - 25 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tbb when three letters picked without replacement from {b: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*h, 6 + 0 = a - 5*h. Suppose 1821 + 323 = 4*l. Let r = l - 16614\/31. Is a greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {l: 5, i: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = n - 5*b, 3*n + 2*n - 266 = -4*b. Calculate the greatest common divisor of 414 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12 = 3*r - 4*x, -r - x = -3. Suppose r*b + 3*b - 40 = 5*z, -4*b + 3*z = -35. Solve 5*f + 22 = -3*y, 2*f = -5*y + b*f - 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-2)\/4 - -4. Let x be -1*(-40)\/15*(-3)\/(-2). Suppose -14 + 6 = x*d. Is w < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 633\/77918?\nAnswer: 633\/77918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o + 66. Let l(b) be the first derivative of b**2 + 517. What is f(l(t))?\nAnswer: 8*t + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -88  (c) 0.0531  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/96*60*4. Suppose 4 = b - 2*b - 2*f, -4*b + 49 = -5*f. Suppose 9 + z = b*s. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6676 + 2033. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2*o**3 - 8*o**2 + 6*o - 4. Let x be k(-5). Let f be ((-12)\/x)\/(6\/(-32)). Suppose -4*i = -4*y - 24, f*i - 69 = -y - 4*y. Solve i*j - 8*j = -6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 227\/(-454) + -3*2\/(-8). Which is the closest to 3\/10?  (a) 0.27  (b) n  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**3*x)\/x)\/x)\/x**(8\/3)*(x*x**(-1\/3))\/x**(-17) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**3 + 144*s**2 - 144*s**2 - 1 - 90*s.\nAnswer: -s**3 - 90*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 1. Suppose 0 = -2*g + 2 + k. Does 5 divide (g\/3 - -11) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2 + 6*b - 2*b + 0*b**2. Let y(o) be the second derivative of -20*o - 1\/6*o**4 + 0*o**2 + 0 + 5\/6*o**3. Give -5*i(w) + 4*y(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -181.660095 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 6*t**2 - 14*t - 4. Let l be n(6). Let i = l + 91. Suppose -i = 2*v - 7. Solve -5 = 2*k + 3*c - v*c, -5 = -5*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 - 7*o - 1. Let m be f(-7). List the prime factors of -1 - (m + -53 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:43 AM and 7:16 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-22 - -9 - (-3 - -3) - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nxbnxi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6204748?\nAnswer: 2, 11, 83, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*u = 523 - 131. Which is bigger: u or -35?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.206, 1, -2\/5, 332\/11 in ascending order.\nAnswer: -2\/5, -0.206, 1, 332\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -22 - 2. What is the lowest common multiple of 27 and n?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1596 - 4148. Let o be (-10)\/(-4)*x\/110. Let n(z) = -8*z**3 + z**2 + 2*z - 3. Let m be n(2). Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = -82 + 118. Solve 4*d - 15 = o*p, -2*p = -3*p + 2*d - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/65)\/((-3)\/(-3)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f**2 + 4*f**2 + f**2)*(2*f + 2 - 2 - 2*f + 1 - 1 + (4*f - f - 2*f)*(1 - 1 + 1) + 2*f - 2*f + 4*f).\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Sort l, 0.1, -1\/8, -0.4.\nAnswer: -0.4, -1\/8, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 4*o - 64 + 17, -4*o + 93 = 3*z. Suppose 6*i - z = i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/7*88\/396.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10 - (4 - -8))*1806\/4. Let k = r + 947. Solve 6*b + 38 = k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 74 - 71. Suppose -4*l - 3*r = p + 6, 4*r = 5*l - 12. Suppose l = v - 8*v + 6419. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a + 2*a - 11*a + 6*a - a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2\/3 - 209*k\/3 + 422\/3.\nAnswer: -(k - 2)*(k + 211)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -6. Suppose -m + 3*m - o*h + 14 = 0, 5*m - h + 9 = 0. What is the remainder when (-2)\/(-4)*(m - -63) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 97576.82 millilitres?\nAnswer: 97.57682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 288 = -4*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19 - -21. Let 2*g**4 + 6 + g + 3*g**2 - 10 - 5*g + i*g**3 - 3*g**4 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-231)*(7 + (164\/(-32) - 15\/120)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.3 - 2.2. Let i = v - 0.1. Which is the nearest to i?  (a) -0.5  (b) 2\/15  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -19*l + 1. Let k(a) = 34*a**2. Calculate x(k(q)).\nAnswer: -646*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-1\/2))**(20\/7)*(p*p**5)\/p*p**(1\/12) assuming p is positive.\nAnswer: p**(787\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 488506.8 years to months.\nAnswer: 5862081.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17, 33, 55, 83, 117, 157, 203?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**2 + 21*b - 185. Calculate m(11).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y. Let t(k) = 3173*k - 1. Determine t(v(r)).\nAnswer: -12692*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 8 = 4*j - 2*c, -5*c - 20 = 5*j. Solve 2*d = -j*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 8 = 2, 3*i + 91 = -2*z. Let f = z + 151\/4. Put f, -3, 1\/9 in decreasing order.\nAnswer: 1\/9, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -293 - -673. Let i = t + -377. Put i, 0.4, -0.3, 4 in descending order.\nAnswer: 4, i, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*t - 5*t. Let z be (-26)\/(-15) - t\/10. Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13279874 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -5, -3, 3, -20, -2 in increasing order.\nAnswer: -20, -5, -3, -2, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -50.37 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 5*s + 2*s + 54, -2*g - 4*s = -44. Let u be (-24)\/(-10)*70\/4. What is the greatest common factor of u and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2862621 + -3.32138\nAnswer: 2862617.67862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g + 8*g - 14*g)*(-4 - 2 + 4) - g - 1 + 1 + (-5 + 3 + 3)*(1 - 1 - 2*g) + 76 + 83*g - 76.\nAnswer: 82*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -8*u**2 - 9*u. Let r(z) = -3*z**2 + 7*z. Let v(q) = -2*q**2 + 4*q. Let h(l) = -3*r(l) + 5*v(l). What is -18*h(o) + 2*p(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3149607 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1656 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*x + 485 - 958 + 475 - 144*x**2.\nAnswer: -144*x**2 + 15*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(2 + 2\/(-4)). Suppose 3*o + 0*o - 9 = 0. Find the third derivative of 3*j**v + 2*j**6 - o*j**2 - 3*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.031309 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-193)*4\/24*-4. Let l = 21713\/2316 + k. Find the common denominator of l and -15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178 = 4*v - 326. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8064)\/(-798) - 30\/285.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, j: 9, h: 2}. What is prob of sequence phph?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4187 + -4167. Suppose -20\/3*b**5 + 16\/3*b + 64\/3*b**2 + 0 + j*b**3 - 8\/3*b**4 = 0. Calculate b.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1955123, 7820507, 17596147, 31282043, 48878195?\n\"Answer: 1955128*d**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15\/3 - 5 - -4. Suppose h*j - 11986 = -b + 3*b, j - 3007 = -3*b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16181\/6 + 2697. Let p(r) be the second derivative of 0 + 1\/2*r**2 - d*r**3 - 5*r. Calculate p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -191\/366912 and -33\/34801?\nAnswer: 982223424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*v + 20*v + 6*v + 9*v - 1 - 1.\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**4 + 368*b**3 + 31576*b**2\/5 - 83904*b\/5 + 51984\/5.\nAnswer: (b + 38)**2*(5*b - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 314232 + -5?\nAnswer: 314224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*t**2 - 19*t**2 + 87*t**2 to b*t**2 + m*t + r and give b.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 7*n**2 - 4*n + 14. Let b be h(-6). Solve -2 = -b*c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*l + 216 + 808 = 17*l for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/15198 and 4\/89433.\nAnswer: 453067578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*u - 10*u - 8 = 0. Let i(z) = -5*z + 4*z - 4*z + z**3 + 2*z**2 + 2. Calculate the lowest common multiple of i(u) and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-20)\/(-8)*5*30. Let j = 153 + u. Calculate the highest common divisor of 16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -141111*a*x**3 - 17619*a wrt x.\nAnswer: -423333*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {a: 1, d: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3625 - -3625.4. Which is the third smallest value?  (a) y  (b) 0.3  (c) -4  (d) 11  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/3506 and 93\/10?\nAnswer: 17530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19637706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77523 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -144*b**3 + 168*b**2 + 168*b - 168. Let w(q) = -q**3 + q**2 + q - 1. Calculate 2*k(o) - 336*w(o).\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeieeeieeeeeeiieieee. What is prob of picking 3 e?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -905, 1, 628?\nAnswer: 628","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 855*w - 119*w - 1579 = 1365. What is the smallest common multiple of (-10)\/3*(-66)\/4 and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(250\/1025) + -28.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140591674 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d**5 + 30*d**4 - 475*d**3 + 3620*d + 3120 = 0. Calculate d.\nAnswer: -13, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7996 and 0.3?\nAnswer: 0.23988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5278172700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 1. Let p be c(-2). Let q(m) = -2*m**2 + 0 + m - 1 + p*m**2. What is the remainder when q(-5) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - -20 - (16 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 11, t: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1)*c**(-2\/15)*(c**0)**(4\/13) assuming c is positive.\nAnswer: c**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-17)\/(-6) + (39 - 22 - 20)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 0 - 5\/2*k**3 - 15*k - 9*k**2. List the prime factors of g(-7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4694 < 4693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -164*a*q**2 + 56*a + 2*q**3 - 4*q wrt q?\nAnswer: -328*a + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 + 6*w - 3. Let k = 23 - 13. Suppose -8 - k = 3*t. Let s be l(t). Put 4, s, 5 in increasing order.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r**2 - 43*r + 94*r - 50*r + 2 + 4 in the form m + w*r**2 + b*r and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 9 = 2*k. Let u be (1 - -1) + (-26)\/(-2). Let o = 27 - u. Calculate the least common multiple of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-1)*(-12)\/(-10). Is ((-2)\/4 + 0)*y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h + 7*h + h - 2*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7050, 14259, 21466, 28671, 35874, 43075?\nAnswer: 50274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y = -2*y + 14. Let o(u) = -4 + 14 - 7864*u + 7863*u. What is the remainder when y is divided by o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 141411852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62721 is divided by 3459?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -658*g - 94 + 287*g + 273*g + g**4 with respect to g.\nAnswer: 4*g**3 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s*s\/((s**(-1\/6)*s)\/s)*s*(s\/s**(-4)*s)\/s assuming s is positive.\nAnswer: s**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7))**17 assuming b is positive.\nAnswer: b**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/(-18)*11\/(825\/(-20)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 32*b**2 - 10*b + 72. Is 17 a factor of m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/((8\/(-4))\/(-1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {t: 1, l: 4, h: 1, e: 1, p: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 139519 and 493.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 22*g**2. Let b(u) = -2186*u - 2. Give b(k(s)).\nAnswer: -48092*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*o + 15 = 3*i - 29*o, 3*o = 3*i. Solve i*a - 2*w - 4 = 0, 0*w - 3*w = 2*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/572 and -53\/450.\nAnswer: 128700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**2 - 36 + f**3 + f**2 + 26 - 3*f**4 + 0*f**2 to h*f + q + c*f**3 + n*f**2 + r*f**4 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 326484158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -11*n**2 - 13*n + 15. Let w(m) = 5*m**2 + 6*m - 7. Let s be -3*(-1)\/(1\/(-2)). Suppose 28*f - 117 = 37*f. Give f*w(g) + s*y(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -569*o. Let d(a) = 23*a + 92*a - 107*a. What is d(i(j))?\nAnswer: -4552*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 54165*f**3*u + 259*f**3 + 3*f**2 - 31940*f - 87*u - 1 wrt f?\nAnswer: 324990*f*u + 1554*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + w**3)*(2*w - 7*w + 4*w) + 56*w**3 + 3*w - 58*w**3 + 6*w - w**4.\nAnswer: -2*w**4 - 2*w**3 + 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l - 2. Let s be 1\/(-2) - 70\/20. What is the smallest common multiple of 14 and n(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 350.71 + -350.88. Let k = -1 - -5. Let m = 25\/6 + -9\/2. What is the second smallest value in m, v, -5, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10329, -1\/5, 0.5, 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 145 = -2*z. Let o be (-47)\/(-15) + (-20)\/150. Let h(u) = 3*u**2 - 2*u - 6. What is the remainder when z is divided by h(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237087 is divided by 784.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15*t + 16 + 3*t - 30 + 12)*(-1 + 1 + 3) in the form w + a*t and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (43718\/26 - -5) + 264\/(-572) is divided by 212.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 84  (b) 4  (c) -0.02  (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**8\/m*m)\/m**1*(m*m\/m**(-1\/4))**9 assuming m is positive.\nAnswer: m**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18880415 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 71*f + 2 + 69 - 0. Put f, 12, 51 in increasing order.\nAnswer: f, 12, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of -g**4\/12 - 5*g**3\/6 - 198*g**2 - 1. Let h(w) be the first derivative of 3*w**2\/2 - 2. Calculate r(h(z)).\nAnswer: -6*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 4:10 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - (9 - -20)) + (2 - 3) - 20.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 17007?\nAnswer: -17011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -33220 (base 4) in base 9?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 902660096 divided by 3328.\nAnswer: 271232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x**2 + 46*x + 1. Let y be p(-9). Let s be ((-48)\/(-21))\/(-4)*28\/y. Solve -2*i - 3*i = s*z + 23, 0 = 2*z - i + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -34444*p - 8 - 7 + 34438*p. Let b(n) = 13*n + 31. Determine -4*b(k) - 9*m(k).\nAnswer: 2*k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 34*j**2 - 244*j + 142. Let v(b) = 3*b**2 - 22*b + 13. Determine -2*a(k) + 23*v(k).\nAnswer: k**2 - 18*k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2201343401 (base 5) to base 15\nAnswer: 6322a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/2601?  (a) 0.9  (b) 3  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-13)\/p)\/((p*p**(1\/19)*p*p*p)\/p)*p**12*p\/(p\/(p\/(p\/(p*p\/(p*(p\/p**10)\/p))))) assuming p is positive.\nAnswer: p**(113\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**4 + 20*g**3 + 16*g**2 + 3*g + 5. Let x(r) = -2*r**3 + r - 1. Let q(i) = -a(i) - 5*x(i). Factor q(b).\nAnswer: -2*b*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6 - 0 - 570510\/93600 and -77\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.53086504 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 142\/46) + -106*(-18)\/(-276).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-22))\/s)\/(s*(s*s*s**(-12)*s*s)\/s))**(-32) assuming s is positive.\nAnswer: s**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36.3357 - -0.6643. Sort 1, q, -17 in decreasing order.\nAnswer: q, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(186\/2 - 2\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/12 - (-255)\/(-18) - -2. Let s be (1 - 4) + (l\/4 - -5). Let y(q) = -133*q**3 - 2*q**2 - 4*q - 2. List the prime factors of y(s).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 6386*p**2 - 15*p + 14. Let y be 6\/(-8)*(7 + 1). Let v be u(y). What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-49)*(-364)\/16)\/((-23)\/138)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -305*c**3 + 334*c**2.\nAnswer: -1830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*b*f*o**2*t - 3*b*f*o + 2*b*f*t - 16*b*o**2 + b*o - 2*b + f*o*t - 46*o**2*t + 50*o wrt o.\nAnswer: 8*b*f*t - 32*b - 92*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1654.269ml to litres.\nAnswer: 1.654269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/15, 560\/19, 0.5, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*a - 3*a + 3*a)*(a - 2*a - 3*a).\nAnswer: -12*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 62309149.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-10))\/(h*h**(-3\/5)*h) assuming h is positive.\nAnswer: h**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 29*b**3\/6 + b**2 - 47*b. Find the first derivative of i(t) wrt t.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2\/9, -2\/13, -2 in increasing order.\nAnswer: -2, -1, -2\/9, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -k**9\/945 - k**8\/2100 - 7*k**3\/3 - 25. Let v(n) be the third derivative of q(n). Factor v(o).\nAnswer: -4*o**4*(4*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 3*w**2 + w + 1. Let s be a(-2). Let n be (-6)\/((4*(-3)\/66)\/1). Calculate the highest common factor of n and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52454856.\nAnswer: 2, 3, 2185619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7540.717cm in millimeters?\nAnswer: 75407.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/4 + (-1595)\/20. What is the remainder when 16 is divided by (3\/(-4))\/(10\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(0 + -2) - 1. Suppose -25 = -5*o, -r*h - 3*h + 5*o = 320. Let n = h - -103. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -90, -10, 141, -2 in ascending order.\nAnswer: -90, -10, -2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) 774  (b) -9  (c) -0.3  (d) 5  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 9:33 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 5)*(-3*o + 2*o - 4*o) - 9*o - o + 0*o + (-2 - 4 + 4)*(0*o - 4*o + 6*o) + 3*o - o - 4*o + 3 - 3 + 2*o.\nAnswer: -39*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 67*x**2 - 265*x + 141. Let d be k(-63). Calculate the greatest common divisor of 2112 and d.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 1 = 10. Suppose -3*o = -4*w - 23, 0 = -3*o + 5*w + 6 + 22. What is the smallest common multiple of o and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 4, -21, 138 in decreasing order.\nAnswer: 138, 4, 0.5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 409176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3\/2 - 4510725*q**2 + 18042891*q\/2 - 4510722.\nAnswer: 3*(q - 3007148)*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4*x = -35, -3*x = v + 2*x + 30. Let d = -42 - -45. Let g(h) = -d + 3 + 17*h + h**3 - 12*h + 6*h**2. Give g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + -1 + -3))**2 - sqrt(396)) + ((sqrt(396) - (-1 + sqrt(396))) + 2 - sqrt(396)).\nAnswer: -12*sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.160601958 - -0.1606. What is f rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2282*d - 34*d + 369*d)*(0*d + 0*d - 2*d)*(2*d - 3*d - 5*d).\nAnswer: 31404*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.7 - 1.4. Let g = i + 0.5. Let n = -34 - -137\/4. Sort n, 0.4, g in ascending order.\nAnswer: g, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 218.7414 milligrams in kilograms?\nAnswer: 0.0002187414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 472.249 + -0.249. Let b = y + -471.999502. Round b to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2780 and 72836.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of -v**2 - 6*v + 125. Let h(k) = -k**3 - 3*k**2 + 2*k - 1. Let g be h(-3). Let z be (-3 + 2)*-3 + g. Calculate j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i - 6*i + 23*i + 11*i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -418791212 + -0.83.\nAnswer: -418791212.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2 + 107*x + 1670. Calculate k(-88).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.47133 weeks in minutes?\nAnswer: 569231.0064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3781951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 411\nAnswer: 2\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167563 is divided by 294.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0  (b) 5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -36 + 0.01259\nAnswer: -35.98741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -360*q**4 + 3 - 130*q**2 + 47*q**2 + 33*q**2 + 49*q**2 as z*q**3 + x*q**4 + y*q**2 + r + g*q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d - 9. Let o be f(-22). Suppose -4*t + p = 22, 4*p + 9 = 2*t + o. What is the tens digit of (-280)\/t*((-69)\/(-12) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 + (-21)\/(-7) - (-22 + 1). Do r and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 22*f**2 + 26*f + 36. Let d be y(-20). Let h = -178 + d. Does 43 divide h\/4*(4 + (-2)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j + 68 = j. Differentiate 26*v**2 - 30 - 50*v**j + 28*v**2 - 54*v**2 wrt v.\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {g: 7, o: 6, j: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1229862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 105 - 103 = k, 3*h = -k + 9. Let i(d) = -d + 6. Let z(j) = -10*j + 55. Determine k*z(b) - 55*i(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hbq. Give prob of sequence hb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 497252 and 386332?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*p - 1\/3*p**2 + 2.\nAnswer: -(p - 2)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 114 - 204. Let i = 102 + u. What is the units digit of ((i\/(-18))\/(-2))\/((-1)\/(-33))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81185 - -23060. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*l + 23, 4*n - 17 = -7*l + 2*l. Calculate the greatest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1539) - (sqrt(1539) + 2 + sqrt(1539) - sqrt(1539))))**2*2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, n: 2, r: 4}. What is prob of picking 1 w and 1 n?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9120869 micrograms to grams.\nAnswer: 0.0000009120869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0808 * -0.128.\nAnswer: -0.0103424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/(a*a\/a**(-18))*a**(-6)*a**16*(a*a\/(a**1*a))\/a assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n + 2*o - 6514, -3*n - 2*o + 8682 = n. Suppose 3193 + n = x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 126 + (-15)\/5700*47842?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -29.9.\nAnswer: -5.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*x**2 + 44 + 51 - 24*x**3 - 97 in the form d + c*x**2 + p*x**3 + b*x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (18 - 3 - (-4 - -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 75, 171 in ascending order.\nAnswer: 4, 75, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 150 and 1905?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (16\/(-6))\/((-8)\/12). Suppose a - z = -a. Let x(v) = v**2 - 9*v + 11. Let s be x(8). Solve -q + a = s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-25)\/12)\/(-5)*4. Let l = 6 + -5. Suppose -12*w = 353 - 257. Which is the smallest value?  (a) w  (b) l  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 909142.\nAnswer: 2, 13, 73, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136*w - 138*w = 266. Let j = w - -185. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1655051903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, y: 1, p: 3, u: 1}. What is prob of sequence yup?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 801847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**5\/5 - q**4\/5.\nAnswer: -q**4*(2*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 513.7\nAnswer: -154.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 70\/21 + (-2)\/(-3). Suppose 0 = -4*w - 12, -2*k + d*k + 3*w - 255 = 0. Suppose -4*y = 24 - k. What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0651 times -84.8\nAnswer: -5.52048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8758?\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + (-13338)\/874)\/(4 - (6 - -2 - 6))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -10*c**2 - 3*c - 25. Let t(i) = -17*i**2 - 6*i - 49. Give 3*t(w) - 5*z(w).\nAnswer: -w**2 - 3*w - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p. Let s be r(0). Suppose k + s*k - 2 = 0. Solve k*x - 4*g - 3 + 9 = 0, -5*x - 5*g = -30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 8) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1573661 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 + 57*b - 283. Let z be q(22). Solve 5*k - 3 + 5 = -2*x, 8 = z*x + 2*k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 1\/5, -22460?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4603851*y - 4603803*y + 2400 = 0 for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*s = 25*s - 510. What is the smallest value in s, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 d when three letters picked without replacement from fdzyfdyfzfyyfyfyzfd.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 76 and 391381.\nAnswer: 1565524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 89299692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6345.20888 - 6417.01. Let z = -72 - w. Let d = -0.2 - z. Round d to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 33.01623ug?\nAnswer: 0.00000000003301623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -12. Let d = s + 7. Let p = 189 + -1509\/8. What is the closest to d in 0.2, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 10*y**2 + 124*y + 151. Let j be s(-11). Let v(r) = -2*r**3 + 17*r + 2. Let m(u) = -u**3 + 9*u + 1. Give j*v(k) + 5*m(k).\nAnswer: k**3 - 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3321)\/(-369))\/(1\/(-1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 2, 3, -4, 0.5, 16.921.\nAnswer: -4, 1\/4, 0.5, 2, 3, 16.921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.345479 and 126.\nAnswer: 124.654521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 170.5 - 137. Let x = g - 34. Suppose 4*o - 4*m - 1 = -m, 2*o - m = -1. What is the smallest value in -1\/4, 1\/5, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -6 - (-13 + 1 + (7 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 207*o**4 + 32*o**3 + 25798 wrt o?\nAnswer: 828*o**3 + 96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 9, -3*q = -4*m + 2*q - 19. Let b = m + 0. Let i = 5 + b. Solve -1 - 11 = i*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 141*s**3 + 109*s - 49*s**3 - 103*s**3 to the form z*s + x*s**2 + q*s**3 + m and give z.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 12 = 0, -3 = -s - 2*h - 28. Let y = s - -17. Suppose y = 9*j - j - 24. Solve j*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/18*(-156)\/(-195)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 > 2413289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + 1351546?\nAnswer: 1351540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -7*y + 56. Suppose -g + 2*p = 3, -3*g = -5*p + 2*p + y. Which is smaller: -4 or g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/108 and 47\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x - 101 + 101.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 7:50 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 7:26 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) + (-1*sqrt(95)*-1 + sqrt(95) - sqrt(95)))\/sqrt(5))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a**5 + 75743*a**2 - 7133*a + 47?\nAnswer: -20*a**3 + 151486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 36*h**2 - 156*h - 19. What is the least common multiple of 38 and z(-31)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = y - o + 7, 0 = 3*y - o + 3. Let w be 1\/(3 + 5\/y). Suppose 5*h = w*h + 93. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 81.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 137631334 a multiple of 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 83 - 164 - 12*w + 81.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1171 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, k: 6, v: 7}. Give prob of sequence vv.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 4)*(-73*o - 11*o - 31*o)*(2*o - 2 + 2).\nAnswer: -230*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(605) - (sqrt(605)*-2 + sqrt(605))) + sqrt(605) + sqrt(15)\/sqrt(12) + -5)**2.\nAnswer: -670*sqrt(5) + 22845\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11358 a factor of 2311659666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyggdyy. What is prob of picking 3 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.04 + 0.04. Let j = 7 + z. What is the closest to 1\/2 in j, -1, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -254, -561, -996, -1565, -2274, -3129, -4136?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, -1, 28 in decreasing order.\nAnswer: 28, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-31746)\/4810*(-10)\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1362 - 979. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27080 (base 16) to base 8.\nAnswer: -470200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of w**5\/60 + w**4\/12 + 2*w**3\/3 - 2*w**2. Suppose -3*z + 0*z = 12. Does 6 divide y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 42, -128, -460, -1008, -1826?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.8675 - -0.0575. Let q = -0.0361 + -6.1439. Let z = b - q. What is z rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.488174cm in meters?\nAnswer: 0.00488174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 11:24 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((0 + -3305)\/5*-7)\/1. Suppose -z + 985 = -6*d. What are the prime factors of d?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than 1301955.7666266?\nAnswer: 1301952.7666266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o**(-2\/3)))**9)**(-2\/7)*(o**1*o*o*o**(-4)\/o)\/(o**(2\/7))**(-18) assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20937 and 55237788.\nAnswer: 2991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16122.04288 rounded to the nearest ten?\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the third derivative of 0*b + 0*b**3 + 0*b**4 + b**2 - 9 + 3\/20*b**5. Let h(r) = 5*r**2. Calculate w(h(g)).\nAnswer: 225*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/71364 and 37\/9386.\nAnswer: 17626908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -3, 0, 0.08, -3\/7, 89?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -151, 14, -2, 0.03, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 458309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150, 127, 116, 123, 154, 215, 312?\nAnswer: 451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 7*l - 7. Let t be g(-5). Suppose -t*k - 10 = -2*s, 2*s + 0*k - 10 = -2*k. List the prime factors of 2*((-2)\/s)\/((-16)\/1340).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 39*t + 61. Let q be i(24). Let g = q - -152. Which is the closest to -5\/2?  (a) g  (b) 2  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**3 + 33*x**2 - 72*x = 0 for x.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 49 + -33. Suppose -4*c + 34 - 14 = 0. Suppose -8*r + 183 = -c*r. Calculate the remainder when r is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (858*m**4 + 261*m**4 + 104*m**4)*(-1 + m + 1)*(-1 + 0 + 2).\nAnswer: 1223*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 38681627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 35 times -0.274\nAnswer: -9.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 88 - 131. Let g(i) = -82*i**3 + 2*i**2 - 1. Let l be g(-1). Let c = y + l. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -93 in 0.2, 70, 5, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + j + 14. Let o be d(6). What is the greatest common factor of 140 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5462512 is divided by 2731218.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 73*x**3 + 318*x + 62*x**3 + 915*x - 10*x**3 wrt x?\nAnswer: 750*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/17128 and -127\/149928.\nAnswer: 320995848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -14*u. Let f(y) = y. Suppose -3*v = 4*n - 11, 4*n + 26 = 3*n + 5*v. Determine n*i(h) - 10*f(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - -34335031?\nAnswer: 34335025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 18 + 1421\/(-58) + -2*-1*1\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 203468.\nAnswer: 1831212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*d**2 + 68*d**2 + 70*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 74 + (-1)\/(2 - (-20)\/(-8)). Let l = -70 + k. Solve 4*g - l + 22 = 0, 0 = 5*r - 4*g - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*c**2 + 11*c**2 + 33*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeggggegggeeeegge.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1627 a factor of 12466074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 95 - 30. Suppose 0*h + m = 5*h. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -m - s - 3*s, -3*m - 5*s + 54 = 0. Let p(k) = k**2 - m + 11 + 12. Let y(n) = 3*n + n**2 - 2*n**2 - 3*n. Give y(p(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.94 - -0.06. Let n = -55\/2 - -27. Let m be (-3)\/2*(-4)\/15. What is the nearest to m in 2\/15, x, n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -4*s**2 - 2404*s + 14568 = 0.\nAnswer: -607, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.5 - -5.2. Which is the third biggest value?  (a) -1  (b) 2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -1, 0.202 in descending order.\nAnswer: 2\/9, 0.202, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -g**5\/60 - g**4\/3 - 7*g**3\/6 - 122*g**2. Suppose -5*s - 28 = -3. What is the least common multiple of l(s) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -63*s + 54*s + 126. Calculate the lowest common multiple of 140 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/13 + 1020*m\/13 - 2032\/13.\nAnswer: -2*(m - 508)*(m - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2 = 5*o + 3, -n = -2*o - 3. Suppose n*m = 2*m + 9. Solve -m*s + 30 = -3*r, -r + 5 = 2*s - 0*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(162)*1 - -2*(sqrt(288) - (sqrt(288) - (0 + sqrt(288)) - sqrt(288)))**2.\nAnswer: 9*sqrt(2) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -14*r**3 - 16052*r + 12*r**4 + 5 - 102*r**2 + 16421*r + 373 - 52*r**3 - 18*r**3 + 3*r**5 = 0.\nAnswer: -7, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3019*a - 18311 + 1915 = -253*a + 3236 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 564088 is divided by 256.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 8*z**2 - 9*z + 2. Let y(b) = 4*b**2 - 5*b + 1. Let p(g) = -3*w(g) + 5*y(g). Suppose 0 = c - 5*c + 88. Let i = 24 - c. What is p(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 336 and 1798881.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1467 + 15*i + 1467)*(4 - 2 - 1) to w*i + m and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b. Let x(v) = -3*v - v**2 + 0 + v - 1 + 5*v. Let z be x(2). Let y(k) = -z - 5*k - 11*k + 1. Give y(q(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + s**2 + 3*s - s**2 + 1 + 2*s**3 - 5*s**3. Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 79*p. Let u(q) = 79*q. Determine -4*o(w) + 5*u(w).\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -1135, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are -1195 and -1196 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 17, 126, 209, 254, 249, 182, 41?\n\"Answer: -2*p**3 - p**2 + 126*p - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 1) + -27 + 19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**2 + y**2 - 3 + 3.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 = 7*x - 43. Let n be (-10)\/x - 198\/(-528). Let p = 24.3 - -0.7. Is p less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 63, 62, 39, -18, -121, -282?\n\"Answer: -2*v**3 + v**2 + 10*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 + -22 + 52 + 60.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tddddt. Give prob of picking 1 t and 1 d.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(5\/7)\/k*k**14)\/(k**(-9\/4)*k**(-3)*k))**(-19) assuming k is positive.\nAnswer: k**(-9557\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -4*l + 51, -l - 5*t = l - 33. Let q = l + -9. Suppose y + 18 = 4*f, -4*y - 3 = -q*f + 14. Put 0, -2, f in ascending order.\nAnswer: -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -257\/9 + 227\/9. What is the second smallest value in n, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/36 - ((-676)\/(-72))\/13.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, -2\/15, 0.069, -1\/3 in decreasing order.\nAnswer: 3\/8, 0.069, -2\/15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -9*x**3 - 5*x + 6. Let s(v) be the first derivative of 2*v**4 + 2*v**2 - 5*v + 152. Let p = 65 + -61. Calculate p*n(k) + 5*s(k).\nAnswer: 4*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12091*l - 12091*l - 3*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from nypnfofou.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + 1. Let k be (-6)\/(-21) + ((-104)\/(-28) - b). Suppose 1\/3*i**5 + 1\/3*i - 2\/3*i**3 + 0*i**2 + 0 + k*i**4 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - 2. Suppose -59 - 16 = -5*u. Let q = u + x. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 56557*x + 28284*x + 19*x**2 + 2 + 28279*x + 5*x**3 - x**3 to b*x**3 + s*x**2 + m*x + l and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 + -1)*(-1659 - 1) + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*d = -30*d - 4770. What is the lowest common multiple of 2 and d?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 12:37 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1983382 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 7*y**2 + 8*y + 10. Let t be i(-4). Let k = t + -86. Calculate the remainder when 36\/(-72) - ((-70)\/k + -1) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1090*u - 431*u + 5 - 2213*u - 4 - 1345*u as k*u + j and give k.\nAnswer: -2899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263 = 11*w - 3642. What is the greatest common divisor of 10 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 4:09 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1628?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (231\/(-49) - -4)*(-16 - (24 + -39))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*u + 6*u + 62*u.\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + 523766525600.\nAnswer: 523766525599.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000120222100 (base 3) in base 12?\nAnswer: 655469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6*l - 5. Let a(b) = -3*b**2 - 5*b**2 - 8*b**2 + 11*b**2. Determine a(i(k)).\nAnswer: -180*k**2 - 300*k - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 71541373 to the power of 1\/2, to the nearest integer?\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or 872?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-25)\/30)\/((-1)\/(-2)))\/((-8)\/(-3)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 16*f + 26. Let z be j(9). Suppose -8*h + z = -15. Let u(y) = -6*y + 56. Let p be u(h). Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 5*b**2 - 5*b - 4. Let y be x(3). What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 - 10*m - 14. Let y be k(-8). Suppose 0 = -l + 1 + y. Factor 0*d + 0 + 3\/4*d**2 - 3\/4*d**l.\nAnswer: -3*d**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4856.0000536 - 4856. What is x rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 3055372061 to the power of 1\/4, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -11  (b) 1\/2  (c) 0.3  (d) 1\/4  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11\/78 + 1\/39. What is the second smallest value in -1\/3, q, -3\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j + 4*j - 4*j)*((1 + 1 + 1)*(1 + 7 - 3) + 0 - 1 + 3).\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 1506600 to the nearest ten thousand.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (241*w**2 + 12*w**4 - 112*w**2 - 114*w**2)*(-4*w + 4*w + w).\nAnswer: 12*w**5 + 15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b + 2*b - b)*(-1 + b - 3*b + 3*b).\nAnswer: b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 541533 divided by -1\nAnswer: -541533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5849238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134 + -74. Suppose -2*w - h + 184 = 4*h, -2*w - h + 192 = 0. Let s = w - z. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.16, -40.1 in increasing order.\nAnswer: -40.1, -0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*q - 45 - 43 = 0. Solve 6 = 3*v - 0*v, -4*v + 12 = q*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 186*g = -188*g + 22, 15 = 3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llhh when four letters picked without replacement from {l: 5, h: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.861 + -4.861. What is the second biggest value in 0.0501, 5, m?\nAnswer: 0.0501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**3 - 2*a**3 + 3*a**3 + (-172*a - 294 + 294)*(-2*a + 2*a**2 + 2*a) + 2*a**3 + 0*a**3 + 0*a**3 to the form v*a**3 + y*a**2 + q*a + x and give v.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -64850376 divided by -3604?\nAnswer: 17994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*a - 1264328 + 28396 - 389144 = 0. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 940224.6 meters to centimeters.\nAnswer: 94022460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 414 + -279. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21102233230 - -1?\nAnswer: -21102233223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7\/3 - 10\/30. Let w(c) = c - 2*c - g + 2*c + 2*c**2. Suppose 0 = -2*x + 3*t + 19, 0 + 15 = -3*t. Give w(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/120*-70*((-24480)\/(-200))\/(-51).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*h**3 + 24*h**3 - 84*h**3 - 1439*h**2 + 32*h**3.\nAnswer: 3*h**3 - 1439*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24057 and 37179?\nAnswer: 408969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*(sqrt(11) + -1)*3 - 2*(sqrt(99)\/(sqrt(9) - (sqrt(9) + sqrt(18)\/sqrt(2))) - ((sqrt(11) + 2 - sqrt(11)) + -2)))**2.\nAnswer: -126*sqrt(11) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (6*(-4)\/12)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-211 - -222 - (-1 + 63 + 1))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 436 and 11332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2 + 2*v - 2. Let c be k(-2). Suppose -2*i - 2 = -c. What is the second derivative of g + g + 0*g - 4*g - g**i wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18441905569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -1\/60*s**5 + 0 - 4*s**2 + 0*s + s**3 + 1\/3*s**4. What is the least common multiple of t(8) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 288 and 14184?\nAnswer: 56736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -85 - -87. Solve y*z - 3 - 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-24)\/((-9360)\/30))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 789010 is divided by 294.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -297.0404 + 297. Let m = r + -0.0596. Let l = 193 - 969\/5. Which is the closest to m?  (a) 0.4  (b) l  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + (-2132)\/(-8))\/6. Which is smaller: 43 or f?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 529 = f + y, 4*f - 9*y - 2116 = -5*y. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 = -5*n + 4*y, 0 = -26*n - 1214*y + 1212*y - 50 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-342)\/15*(-4 - (-4)\/6). Calculate the highest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 + -225336403?\nAnswer: -225336386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*z + 39 = -36*z + 135 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-196))\/(7291\/69 - 105).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 9*h**2 + 2*h + 2. Let z(l) = l**3 - l**2 - l - 1. Give t(x) + 2*z(x).\nAnswer: x**3 - 11*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -80*j - 88*j + 54 + 166*j to x*j + i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -70.9 - -71. Let c be (-12)\/12*89*1. Let r = c - -447\/5. What is the third smallest value in t, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27.11 - 27. Let l = -0.24 - y. Let i = l - -0.350019. Round i to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 3 + -19 + 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + l = -75497 + 75503, 0 = 5*n + 5*l - 40 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 60, 245, 400, 525, 620, 685?\n\"Answer: -15*y**2 + 230*y - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40 and 304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9\/1 - 1 - (-1 - 2). Suppose 20 = p*k - 35. Solve -4*r = 5*w - 9*r + 5, -3*w = k*r + 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26347038 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1766 = 8*x - 534. Suppose 6*k = 3*k - 303. Let j = k - x. List the prime factors of j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -212 + 217. Which is the third biggest value?  (a) 3\/2  (b) -5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - 32*a**2 - 64*a - 101. What is the remainder when 1933 is divided by d(-30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -340*l**3*o**3*w + l**3*o**3 + 2*l**3*o**2 + 81*l**2*o + l*o**3*w + 3179*w - 3427 wrt w.\nAnswer: -340*l**3*o**3 + l*o**3 + 3179","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 11, c: 2}. Give prob of sequence zczz.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -t**4\/3 - 26*t. Let r(w) = -16*w**2 + 5. Let k(c) = 48*c**2 - 14. Let d(g) = -5*k(g) - 14*r(g). Determine x(d(u)).\nAnswer: -1024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -443 or -442?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -5*f**3 + 110*f**2 + 6*f + 6. Let s(h) = -6*h**3 + 109*h**2 + 7*h + 7. What is -7*m(v) + 6*s(v)?\nAnswer: -v**3 - 116*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 7*k - 36. Let y be s(4). List the prime factors of (1 + 184)*y*(-1)\/10.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3228 + 359. Is 61 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from fmfmfmmfmmffm?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 + -12 + -16 + -1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -99 divided by -3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 4 - 3 + (1 + 2 - 5)*(-4 + 6 - 3) + 5 - 1 - 3 + 3 - 1 - 5)*(-3*a**3 - a**2 - 3053 - a + 4*a + 3054) as w + t*a + x*a**3 + i*a**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1547448 + -376027. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -1638*u + 149034. Determine s(91).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151*t + 247*t - 117*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**5\/r*r)\/(r\/(r**(4\/9)\/r))*(r**(-5\/2))**21 assuming r is positive.\nAnswer: r**(-883\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -618\/5 + 20404\/165. Let d(q) = -q**2 - 7*q - 10. Let r be d(-4). Suppose -r*v + 3*v = -1. Does v = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -4*a. Let l(c) be the second derivative of -c**3\/3 - 12*c. Determine l(k(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhshsh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7325 is divided by 243.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(171)*2 + sqrt(171))*-1)\/(-6*sqrt(18)\/sqrt(8)).\nAnswer: 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*f + 15, -3*f + 15 = -5*s + 2*s. Suppose f = -5*q - 43 + 173. Let g = q - 15. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 347*l**2 - 798.\nAnswer: 694*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -819100 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10200210997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00426816 rounded to four dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k - 57. Let j be r(21). What is the highest common divisor of 46 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 6:09 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 292\/5 + -58. Which is the second biggest value?  (a) -0.7  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(4\/(-4)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -18 + 16*k**2 + 20*k**2 - 20*k**2 wrt k?\nAnswer: 32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*m - 12 = 0. What is the greatest common divisor of 18 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -776 + 932. What is the highest common factor of u and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 3*y - 16 = 0, 3*n - 14 = n + 4*y. Let w = -0.261 + 0.051. Let d = 1.79 - w. Is d < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.09704, 2\/3, -3, 2\/15, 0.4 in increasing order.\nAnswer: -3, 0.09704, 2\/15, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 502964848?\nAnswer: 2, 1327, 23689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 8:27 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 972 and 1536.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/48*-2*3736\/(-4203).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of -1\/2*f**2 + 1\/6*f**3 + 2 + f. Let b(d) be the first derivative of z(d). Differentiate b(m) with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -628101123*m*x**3 + 91*m*x**2 + m + 16790*x**2 wrt x?\nAnswer: -3768606738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*x**5 - 720*x**2 + 405*x - 1?\nAnswer: 40*x**3 - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*h + 3*h + 0*h)*(6 - 6 - 8*h**2) - 5*h**3 + 2*h**3 + h**3 + (3 - 3 + 1)*(-1 - h**3 + 1) as v + m*h + t*h**3 + q*h**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144032535 and 1383.\nAnswer: 144032535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2110122 (base 4) to base 9\nAnswer: -14023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -b - 17, 2*b = -0*z - 2*z + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2230275 divided by 2230275\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 7255*k**2 + 5809*k + 7. Let q(t) = -4836*t**2 - 3872*t - 5. Let y(z) = -5*p(z) - 7*q(z). What is the second derivative of y(w) wrt w?\nAnswer: -4846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 58*d - 57*d + 5, -5*p + d = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -124*j + 1. Let b(k) = 247*k - 2. Determine -4*b(w) - 9*f(w).\nAnswer: 128*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -27*p**2. Let o(v) = 121*v**2. What is -22*k(l) - 5*o(l)?\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**3 + 0 - 2*q**3 - 4 + q - q**2 + 7*q**2. Let k be t(6). Suppose 5*c = k + 3. Calculate the greatest common factor of 11 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*n**3 + 0*n - 5*n**3 - 2*n + 0*n**2 - 2*n**2.\nAnswer: -20*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -t - 82247, -5*j - 4*t + 191537 - 54504 = 0. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cniogngignnonmnoonii. What is prob of sequence no?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 85297940 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 13*p**2 + 16*p + 14. What is u(-12)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -6. Suppose -6 + 16 = 5*f. Suppose -f*a + 48 = -0*a. Solve 4*v = x + 16, x = -2*v - k*v + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 28*r + 45. What is p(31)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 200 and 10720\/960 - 1\/(7 - 1).\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 + 5*b**2 - 3*b**2)*((-23 - 4*b**3 + 23)*(0 + 2 - 6) - 5*b**3 - 12*b**3 - 12*b**3).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1545055 divided by -309011.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1077*t - 954*t + 2213*t as o + u*t and give u.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110 = 20*z - 5*z + 40 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 42 = 2*w - 3*c, 0 = -w - 5*c - 7. Suppose 5*o - 2*s - s = 626, 0 = 2*s + 4. Let g = 127 - o. Solve 5*z = 3*n + w, g*z - 2 = 5*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -175.3 and -1777.\nAnswer: -1952.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 5*n - w + 5, 5*w = 25 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -211 + -387. Let y = -603 - u. Which is the third biggest value?  (a) 0.7  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 137610*t**5 + 3*t**4*y + 2*t**4 + 4*t**2*y + 5*t**2 - 41*t - 8*y + 2 wrt t.\nAnswer: 8256600*t**2 + 72*t*y + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 6 = 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/3)*f*f**8)\/(f\/(f*f**0*f))**(1\/29))\/((f**(1\/3)*f)\/(f**(-1\/13)*f*f))**(8\/17) assuming f is positive.\nAnswer: f**(61817\/6409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a**5\/30 - 7*a**4\/18 - 28*a**3\/9 - 20*a**2\/3 - 147*a + 2. What is j in n(j) = 0?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (4 - -46) + 0 + (-11 - ((-6 - -20) + -19))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17181.1 + 759114364.\nAnswer: 759097182.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/2*9\/2. Let h = u - -7. What are the prime factors of (25 + 2)\/((-2)\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 528 = 3*f, 2*f + 25 - 373 = -n. Suppose l = 5*l - f. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 1\/4  (c) 40\/2463  (d) 10  (e) 3\/8  (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8\/3?  (a) -0.3  (b) 0.5  (c) -0.1  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -101010101001100000011?\nAnswer: 101010101001100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 3 = 5*m - 3*o, -2*m - 4*o + 12 = 0. Suppose m = -h + 2*h. Solve f - 4*z = -5, h = 3*f + 6*z - z - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 11*m**2 + 17*m + 7. Is o(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248*f + 241*f + 24654 = 0. What are the prime factors of f?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 14 = -2*s, -4*s - t = 7 - 29. Suppose m - 8 = s*m - 2*n, 3*m = n - 4. Solve 2*h = g - 2*h + 10, 2*g - 3*h + 5 = m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246\/281605 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j\/(j\/j**(-2\/43)))*j*j)\/(j\/(j*j**(-8)*j))*(j\/j**(-4\/5))**(11\/3) assuming j is positive.\nAnswer: j**(784\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1677940?  (a) 56  (b) 0.3  (c) 0  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - l - 491954, 0 = 3*y - l - 277922 - 91045. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(23\/16192*-48).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1035938799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y - 12. Let i be g(9). Let o = i + 23. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1034423 (base 5) to base 15\nAnswer: -5578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 y when three letters picked without replacement from {q: 1, m: 3, i: 3, y: 2, v: 2, a: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7152, -28193, -63126, -111951, -174668, -251277?\n\"Answer: -6946*i**2 - 203*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -114638, -229435, -344396, -459521?\n\"Answer: -82*w**2 - 114551*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*k**4 - 13026*k**3 - 47939*k**2 + 81276*k - 29020 = 0. Calculate k.\nAnswer: -5, 2\/3, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 5*p + 23 = -8*p, -3*p - 2594 = 3*q - 2603 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3*a - 2*v - 11274 = 0, -5667 = -2*a - 5*v. List the prime factors of a.\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -2\/7  (c) 249.0744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1314 - -22?\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 - 4*x + 2. Determine g(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20232993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 364114 to the power of 1\/2, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 44.4. Let l = q - 40.4. Which is the biggest value?  (a) -116  (b) l  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 149 - 137 - ((1 - 3 - -4) + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 983186*d + 6882204.\nAnswer: 2*(d + 7)*(d + 491586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 100290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2\/5)\/((-13)\/(-65)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 6:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l = -708*k + 711*k - 23, -k = -l + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 7595.2 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - 8\/(0 - 8). Suppose -4*l + o = -32, 0*l = -b*l + o + 14. Solve -4*q = -2*j + 15 + 5, -q = 3*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10 + -4)*((-28)\/(-8) - 3). Let t(u) = u**3 - u**2 - 4*u - 1. Let n be t(p). What is the tens digit of 356\/10 - 3 - (-2)\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*j, 16 = -s - s + 5*j. Which is the closest to s?  (a) 4  (b) -1\/5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231297\/301 - (-3)\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 159 and 84048.\nAnswer: 4454544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17.778 - -8.164. Let k = -11.086 + 11.1. Let o = g + k. Round o to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2)*p*p**4)**(-3\/11))**(-14) assuming p is positive.\nAnswer: p**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 times -0.016?\nAnswer: -1.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1440\/23 + -82531\/1334. Find the common denominator of v and -55\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 s when three letters picked without replacement from ssssssbsssssbbsbsb?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -3.6, -4, -0.1, -149304, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 - 22426*r - 44844.\nAnswer: -2*(r + 2)*(r + 11211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 5*f = 4*o - 42, -5*f = 4*o - 22. What is the units digit of ((-2)\/1)\/(o\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a**2 + 214. Let f(t) = -2*t. Determine u(f(r)).\nAnswer: -12*r**2 + 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/7 and 161\/67708710.\nAnswer: 473960970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -145 (base 6) to base 14\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w + 6. Let g be d(8). Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-352777*y**2 - 352787*y**2 - 2*y**4 + 705590*y**2)*(4 - 3 + 1).\nAnswer: -4*y**4 + 52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3292, -3251, -3178, -3067, -2912, -2707?\n\"Answer: j**3 + 10*j**2 + 4*j - 3307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 + 8)\/(36\/(-6076)). Let t = v + 1186. What is the common denominator of 28\/9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (5\/(200\/(-6594356)))\/((-40)\/400) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 3. Let g be o(1). Let v(w) be the first derivative of 0*w**4 + 3 + 0*w**3 - 3\/5*w**5 + 0*w**2 - g*w. What is the derivative of v(j) wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 138478, 138489, 138498, 138505?\nAnswer: 138510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 5:40 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 13*j**4 + 4*j**2 - j. Let g = -44 + 40. Let r(v) = -v**4 + v**2 - v. Let z(l) = g*r(l) + u(l). Find the second derivative of z(s) wrt s.\nAnswer: 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**3 - p**2 - 1794*p - 9. What is c(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 + 33. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6567)\/(-12) - 6\/(-8). Let l = m - 271. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-4*(sqrt(576) - sqrt(36)))\/(sqrt(192)*1))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.750222 meters to micrometers.\nAnswer: 750222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxxxnxnnnxnnnxxxnnn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from kpfrppk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 g, 1 e, and 1 s when four letters picked without replacement from qhegssqeheqq.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 584.4474 millimeters in centimeters?\nAnswer: 58.44474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.32, -8\/3, 1\/8, 38, -2\/19?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 6*t = 12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355904 is divided by 2542?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -65\/2 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 greater than or equal to 3036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 + 6*v. Suppose -5*q + 35 = 2*u, -2*u + 30 = 3*q + u. What is x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -22*m - 375. Let a(j) = -21*j - 363. Determine -11*a(h) + 10*s(h).\nAnswer: 11*h + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y**2 - 14*y - 20. Let v(p) = 3*p**2 - 9*p - 13. Let m(q) = 7*v(q) - 5*z(q). Let u be m(-7). Let l = u + 7. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -11*g**2 + g - 1. Let u be j(-1). Let i = 14 + u. Let v(d) be the second derivative of -13*d**5\/20 + d**3\/3 - d**2\/2 - 4*d. Determine v(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 6*c + 15 = 0, s + 4*c = 128. What is the remainder when s is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -5 - (19 + -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1219981 divided by -3073?\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2. Let n(q) = -72*q - 33. Let p(d) = 2*d**2 - 3*d + 2. Let i be p(2). Let l(u) = -9*u - 4. Let j(o) = i*n(o) - 33*l(o). Calculate j(g(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -58\/25, 1669?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-62)\/(-10) - 14\/49. Let z = 31\/5 - d. Let h = -3\/52 + -193\/260. Is h bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6553275 to the nearest integer?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/sqrt(144)*-3)**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 16 = 19. Let s = m + 7. Suppose -2*x - 5*g + 191 = 0, -2*x + 194 = -0*x + 2*g. Calculate the highest common divisor of x and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*h + 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 = 2*c - 2*q, -5*q + 10 = -5. Let n = 28 + c. Is 13 a factor of ((-2)\/5)\/(1\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 284 = 296. Calculate the least common multiple of b and 2.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**6*d)**10 assuming d is positive.\nAnswer: d**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 12:46 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/(-196))\/(4*3\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19365445 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - l + 160. Is (-9)\/21 - l\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yggyyyygyyy. Give prob of picking 1 y and 1 g.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ooetteoetkottkotooo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.743 + 42777.\nAnswer: 42776.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*q - 5*u - 6, -5*q - 3*u + 13 = 0. Solve q*d - 4*c = -0*c - 4, -5*d + c + 8 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 76524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 3 + 8*z - 3. Let o(d) = -5*d**2 + 9. Suppose 2*n - 17 - 1 = 0. Let a(h) = -h**2 + 2. Let b(w) = n*a(w) - 2*o(w). Give c(b(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17202 and 15.\nAnswer: 86010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011 + -10001011101100001?\nAnswer: -10001011100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -19\/7, 1\/16, 1\/6, 0.2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/2, -9.7 in descending order.\nAnswer: -1\/2, -5, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 516311, 1032738, 1549165, 2065592, 2582019?\nAnswer: 3098446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14.5 - 14. What is the third biggest value in t, -0.11, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -2*x + 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) -1\/4  (c) 16  (d) -1\/7  (e) 399  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100, -96, -92, -88?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -44  (b) -42  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-136)\/(-10) - (-5 - (-115)\/25). Suppose -d - 21 = -n. Let f(a) = -a**3 - 11*a**2 - 13*a + 3. Let s be f(-10). Is s smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*2450\/140*(-4)\/(-14)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, 0.4, 310?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 (base 16) in base 13?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 2*w**4 + 7*w**2\/2 + 653*w - 987. What is the derivative of h(s) wrt s?\nAnswer: 24*s**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 4) in base 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -3 + (sqrt(63) + 3*sqrt(1575) + sqrt(1575) + -4)*-4 + 1 + 1)**2.\nAnswer: -6552*sqrt(7) + 444697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690208857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 8. Let f(t) = t**3 - 2*t**2 - 2*t + 4. Let z be f(2). Let g be (1 + (z - 1))*44\/(-88). Which is the closest to 0.07?  (a) 0.5  (b) g  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = -2*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1359080952?\nAnswer: 2, 3, 47, 1204859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.2  (c) 0.5  (d) 5\/4  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4633 - 4627. Which is the third biggest value?  (a) y  (b) 0.5  (c) -666\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15 or 636\/35?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 76 - 47 = -3*h, -5*b = -3*h + 135. Calculate the highest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27.8 times 0.3\nAnswer: -8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001100001100 (base 2) to base 8.\nAnswer: -21414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s + 3. Let p(d) = 6*d - 10. Let a(i) = -i**3 - 4*i**2 + 4*i - 5. Let q be a(-5). Suppose 5*v - v + 40 = q. What is v*k(h) - 3*p(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**5 + 255*f**4 + 5790*f**3 + 15870*f**2 + 15375*f + 5043.\nAnswer: 3*(f + 1)**3*(f + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*g + 1471 + 490 - 722.\nAnswer: 7*g + 1239","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z**3 + 5*z**2 - 6*z + 10. Let i(j) = -4*j**3 + 5*j**2 - 7*j + 10. Let o(x) = -5*b(x) + 4*i(x). Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sdd when three letters picked without replacement from {d: 18, s: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 y, and 1 x when three letters picked without replacement from xyxyeeyyxeyye?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/5 + -2 - (-396)\/(-315).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, -14, -58, -134, -254, -430, -674?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 6*a - 28. What is u(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 2 = 2*d - 14, -3*d = 2*k - 3. Suppose 11*v - 7*v = 12. Suppose 0 = -v*j + 7*j - 20. Solve j*p - d*r = -29, -7 = 3*p + 2*r - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32011 + 0?\nAnswer: -32011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64)\/64*((-6688)\/(-56))\/38.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11122 - 201?\nAnswer: -12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f*f*f\/(f\/f**4))*f)*f**(-2\/5))\/(f\/f**(-3))**(1\/14) assuming f is positive.\nAnswer: f**(151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1119 - 849*p**2 - 266*p**2 - 1140*p**2 - 142 + 1390 wrt p?\nAnswer: -4510*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, -10, -49, -126, -253, -442, -705, -1054?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2 - 3*r - r**3 + 0*r**2 - r**2 - 4. Let w be -2 + (9\/(-2))\/(24\/(-80)). Suppose -10*o - 17 - w = 0. Determine v(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 8. Let g be u(-6). Suppose 4 + 14 = x + i, -2*x - i = -41. Let r = 8 - 4. Solve 4*a = r*w + 24, -w - g*w = -4*a + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (50\/(-15))\/((-15)\/36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = 2*u + 36. Suppose 6 - 2 = 4*j. What is the second biggest value in u, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7890956, -15781909, -23672864, -31563821?\nAnswer: -39454780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzkwzzkx. What is prob of sequence wkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*q + 44 = 2*g, 10*q + 3*g - 21 = 7*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 93025\/4 + -53117101\/2284. What is the common denominator of -51\/10 and j?\nAnswer: 5710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 745\/298*28\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -252 + 254. Let d(q) = 109*q + 11*q**n - 109*q. Let w(j) = 5*j. What is w(d(t))?\nAnswer: 55*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 210 = -4*c, 2*c + 2*c = 0. What is the highest common divisor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112511630881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1048*h**2*p - h**2*y - 404*h*p**2*y - 2*h*p**2 + h*p*y wrt y?\nAnswer: -h**2 - 404*h*p**2 + h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -110*u**2. Let j(c) = 103*c**2. Determine s(j(g)).\nAnswer: -1166990*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = 8*x - 26 - 85 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 135801994?\nAnswer: 2, 67900997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u + 1. Let w be i(3). Suppose -w*k - 2 + 6 = 0. Let g = 0 - 0.1. Which is the nearest to g?  (a) k  (b) -2\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in 0.2, -1, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4456.9 + -4098. Let v = g - 359. Let k = 2 + -2.2. Which is the second biggest value?  (a) k  (b) 5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.09, 0.23, -0.096?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 0*z + 7*z**2 + 9*z + 5 - z**3 - 13. Let x be q(8). Let i = x + 2. Solve 3*m + 4*v = 1, m + 3*m - i = -5*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -48*p*q**4 + p*q**2 - p*q + 9*q**2 wrt q?\nAnswer: -1152*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 10:57 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j. Let s(u) = 7*u. Calculate s(t(h)).\nAnswer: 56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (3 + 2)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 22*j - 7. Give z(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**2\/z*z*z*z\/(z*z**(-1)*z))\/(z**0)**38)**30 assuming z is positive.\nAnswer: z**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 177 a factor of 50509057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -49 in -1, 0.44, 2, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4 - 1 - 4*p + 3*p. Let f be r(6). Let m = -15034 + 15033. What is the nearest to m in f, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 = -254*l + 250*l - 4*a, 9*a = 90 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*u + 1495 + 1505 = 0. What is the remainder when 1677 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 55*q + 7 - 117. Calculate the lowest common multiple of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 29\/4 - (-1 - 80\/(-64)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (350306 + 351804 - 709899)*(-2*w + 0*w + 0*w).\nAnswer: 15578*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 4:09 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2126059*g*n**3 - 75234*g*n**2 - 3*n + 13 wrt n?\nAnswer: 12756354*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 - 8 = 14*v. Suppose 0 = -v*k + 549 + 3966. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -0.045, -9, -36?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 69\/4, -0.04, 22?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20329491 and 77103.\nAnswer: 60988473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 6*t**2 + 6*t - 8. Let y be 2\/4 - 2\/(-4). Let n = 5 + y. Let l(w) = -w**2 + w. Let d(f) = n*l(f) - r(f). Differentiate d(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16795224811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**4 + 30*q**3 + 33*q**2 = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 13\/67235, 141, -3 in decreasing order.\nAnswer: 141, 13\/67235, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of x**6\/60 - x**5\/15 - x**4\/8 + 5*x**3\/6 - 92*x**2 - 2*x. Let d be h(2). Which is the smallest value?  (a) 5  (b) d  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*h**4 - 6*h**4 + 1 - 10*h**4 + 24*h**4 + 15*h**2 as z*h**2 + y*h**3 + s*h + r + b*h**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -654014 (base 7) to base 2.\nAnswer: -11011111000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13660*w - 895*w**4 + 3269 + 3618 - 2108*w**4 - 13660*w wrt w?\nAnswer: -12012*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*r + 54. Solve g + r = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 144067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 0. Solve 4*i + 5*q + x = q, q + 13 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 392 and 490.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 2 = -2*d, -4 = x + 11*d - 10*d for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 157 + -90. Let w = -25 + o. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**8*n**(-7)*n)**(-2\/61)*((n*n**(3\/7)*n)\/n**(-1\/5))**(-24) assuming n is positive.\nAnswer: n**(-134828\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/9?  (a) 1  (b) 3  (c) 4  (d) 1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 984213 is divided by 14912.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1516813 is divided by 303362.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 16 + w**3 - 5*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-50))\/((45\/54)\/((-5)\/(-3)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w**3 - 5*w**2 + 5*w - 6. Let a(n) = -2*n**3 - 4*n**2 + 4*n - 5. Let f = -99 - -103. Determine f*i(k) - 5*a(k).\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*o = -62*o - 54*o + 2363116. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.00036 + 8.82964. What is j rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/325?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**(-2\/7))**16\/((w\/w**(-5\/3))\/w**(-2\/3)))\/((w**(-3)\/(w**(4\/3)\/w))\/(w**(-3\/4)*w*w**(1\/5))) assuming w is positive.\nAnswer: w**(3903\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28 - 399*y - 553*y - 28 to u + r*y and give r.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes before 6:41 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 8*a - 8. Let r be p(5). Let v(y) = -y**2 + 6*y + 6. Calculate v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q + 8*q - 11*q + q. Let g(n) be the third derivative of -n**5\/12 - 40*n**2 + 1. Determine i(g(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**(-3\/2))*j)**47)**38*(j**(-1)*j**(2\/21)\/j)\/(j**1*j)**(37\/3) assuming j is positive.\nAnswer: j**(31069\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -11, 2, 3 in descending order.\nAnswer: 3, 2, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(1\/2))**(6\/17)\/((u*u\/(u\/u**(-2\/27))*u)\/(u*u**(-4)*u)))\/(((u\/u**(1\/2))\/u*u)\/u**(3\/8))**(5\/14) assuming u is positive.\nAnswer: u**(-195047\/51408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of 1\/12*r**4 + 1\/2*r**3 + 0 + 0*r**2 - 2*r. Find n, given that g(n) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u + 17*w + 5 + 54, -12 = 2*w - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-3*sqrt(56)*1)\/(sqrt(512) - (sqrt(512) + sqrt(512)*-2)) + 5)**2.\nAnswer: -45*sqrt(7)\/8 + 6967\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/21)\/(66\/(-231))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5192*g - 5190*g + 7*p - 25, 3*p - 1 = 2*p for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of o**7\/42 - o**5\/10 - 3*o**4\/2 - o**2 - 45*o. Find the third derivative of i(u) wrt u.\nAnswer: 60*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 10 = -0. Solve -8 = 8*c - j*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15.5 + -4.4. Let x = h + -11. Which is the nearest to 0?  (a) -0.4  (b) -3\/4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 925611 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 8*b**2. Let t(o) = -7*o**2 + 4*o**2 - 3*o**2. Calculate q(t(z)).\nAnswer: 288*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -4*h + 5. Let r(y) = y. Let l(g) = 5*g - 4. Let k(x) = l(x) - 2*r(x). Let b = 17 + -20. Give b*k(q) - 2*m(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(432) + 0 + (sqrt(12)*1*-4)**2.\nAnswer: 12*sqrt(3) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -6*f**3 + 4153*f**2 - 41665*f + 42966 = 0.\nAnswer: 7\/6, 9, 682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 w, and 1 r when three letters picked without replacement from {w: 1, o: 1, v: 5, r: 3, n: 2, h: 1}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*i - j = 162*i + 88764, -2*j = -2*i + 88766. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 283 is divided by 280.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4094 is divided by 315?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-29)\/(-290))\/(-1*(-1)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(396) - (sqrt(396) - -1*sqrt(396)))\/sqrt(9) + sqrt(44))*4)\/((-1*sqrt(900) + sqrt(36))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -2*v**2\/3 - 25924*v\/3 = 0.\nAnswer: -12962, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 269317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-13)*d**4*d)**(6\/5)\/((d**(-2)\/d*d**1)\/(d**(1\/5))**25) assuming d is positive.\nAnswer: d**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 5, -2, -8416 in decreasing order.\nAnswer: 5, 2, -1, -2, -8416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of -a**4\/2 + 2*a**2 + 4*a + 12. Let u be j(-2). Let z(q) = 6*q**3 + 7*q**2 + 24. Let v be z(u). Round v to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 564883499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 2*p + 8 = 0, 2 = h - 3*p - 14. Solve -5*j - 3*z = 16, h*z = 2*z + 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27453 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1887419748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - (10*(6 - 5))\/6. Which is the nearest to h?  (a) 0.07  (b) 1  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -6*g - 16. Let j be a(-4). What is the common denominator of 59\/40 and 9\/5*((-40)\/(-105))\/j?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1073 - 0.6073. What is the second smallest value in -9\/5, 3\/7, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**4 - 4*m**4 + 4*m**4 + m**4 - 16*m**2 + 16*m**2 + (-2*m**3 - m**3 + 4*m**3)*(m - 4*m + m).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 6 = 3*r + 1, f - 21 = 5*r. Let a = -1 - r. Let q = -2 + a. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -1. Let c(j) = 5. Let f(u) = -2*c(u) - 9*v(u). Let d(h) = -h - h + h + 0. Let a(b) = -3*d(b) - 2*f(b). Differentiate a(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5 = -0. Let t(p) = p**2. Let y(j) = 6*j**2 + 2*j. What is z*t(k) - y(k)?\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*d - 109, 3*d - 2*f - 21 = 115. Let w be 12\/d + 4\/(-14). Let n = -39\/4 + 10. Which is smaller: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-80)\/25)\/(-4))\/((-770)\/(-175)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/1448 and 113\/1810.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**4 + 3*f**4 - 4*f**4)*(f + 4*f + 9*f).\nAnswer: 28*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (27 + -55 + 14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a century in months?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 432*f**3 + 667*f**3 + 1008*f**3.\nAnswer: 2107*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - 3*o - 33 = 0, -2*t + 68468*o = 68463*o - 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -234*c**2 - 137*c**2 - 242*c**2 - 219*c**2 + 830*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -14 - (8 - 11) - (-113 + 68 + 31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*b**4 - 33*b**4 + 13*b**4 - 7*b**2 + 8*b**5 + 2 wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -11*m - 16. Let c(u) = u**3 - 25*u**2 - 390*u - 221. Let v be c(36). Calculate g(v).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-7)\/35)\/((-2)\/((-60)\/51)). What is the closest to k in 5, 2, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 690, 3216, 7416, 13290, 20838?\n\"Answer: 837*m**2 + 15*m - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1024330, 1024329, 1024328, 1024327, 1024326, 1024325?\nAnswer: 1024324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 813 - 366. List the prime factors of h.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, -5, -1\/10, -1\/3, 0.3 in descending order.\nAnswer: 0.3, -1\/10, -1\/3, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2461729 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 AM and 9:29 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-66)\/(-18)*42\/231.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39746 and 4522?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 = 11. Suppose 18*g + 353 = 1001. Calculate the lowest common multiple of g and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f**2 - 3*f + 8. Suppose 0 = b + 4*b, 28 = -4*g + 2*b. Let r(u) = -3*u**2 - 2*u + 7. Let m(j) = g*r(j) + 6*x(j). Determine m(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 5*n - 53, -3*i - 25 = 2*i + 2*n. Let c(s) = s**3 - 2*s**2 - 4*s. Let p be c(3). Let f = p - i. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5370, -9127, -12890, -16659, -20434, -24215?\n\"Answer: -3*h**2 - 3748*h - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4167257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 33.3 - 13.3. Let t = z - 25. What is the nearest to 5 in t, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13.015 * -48.\nAnswer: 624.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 46*h**3 + 6*h**2 - 3*h - 2. Let y = 10 - 9. Let g be w(y). Calculate the highest common factor of g and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*q - 100 = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 4:20 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u**3 + 56*u**2 - 30*u - 43. Suppose 80*p = 86*p - 108. Let r be z(p). Calculate the greatest common divisor of 104 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((1*sqrt(242))**2 + sqrt(242) + sqrt(242) + -2)*-2.\nAnswer: -2880 - 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 231653 (base 9) to base 15\nAnswer: 2b2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24 (base 6) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15772771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**5\/20 + 3*w**4\/4 - w**2\/2 + 3*w. Let z be n(9). Let q = -0.2 - -1.2. What is the smallest value in q, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 135\/25 - 2\/5. Suppose 3*j + 1 = 4*m + 13, p*j - 2*m - 20 = 0. Let g be 18\/8 - 3\/12. Solve j*c + 2*b = -g, -2 = -5*c + 3*b + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -2. What is the third derivative of 2*r**4 - 2*r**3 - 2*r**d + 2*r**3 wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a. Let g(t) = -35*t**2 - 2*t + 27013. What is g(y(m))?\nAnswer: -35*m**2 + 2*m + 27013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 7) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9676 + 1873. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {f: 1, k: 1, r: 3, g: 6, a: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**4\/3 - 29438*w**3\/3 + 216590077*w**2\/3 + 288904532*w + 288943788 = 0. What is w?\nAnswer: -2, 14721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -578 + 570. Sort -3, y, 5, 7 in decreasing order.\nAnswer: 7, 5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167404 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 2*n = 20, -4*z - 15 + 40 = -n. Let o be 7 + -2 + 0 + -2. Suppose o*g + 0*m - 17 = 5*m, 4*m + 24 = 5*g. Sort z, 1, g in increasing order.\nAnswer: 1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -38, 9, 76, 163, 270, 397?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -232 + 235. Solve 3*q**2 - 15\/4*q - 3\/4*q**j + 3\/2 = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 3. Let k be ((-2)\/(-3))\/(1850\/225). Which is smaller: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(6) + -2*sqrt(6)*-2))\/(sqrt(75) - ((sqrt(75) - -3*(-2*sqrt(75) + sqrt(75)) - sqrt(75)) + sqrt(75))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -8*l. Let t(o) be the first derivative of l*o + 1\/2*o**2 + 1 + 0*o**3 - 1\/4*o**4. Factor t(n).\nAnswer: -n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - 44 + 44)*(-10 + 43 + 40 - 7).\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1266 - 1263. Solve -19 = -5*v + 10*g - 11*g, n*v = -3*g + 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1306, 1590, 1874, 2158, 2442, 2726?\n\"Answer: 284*r + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 4*i - 14 + 9.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 (base 12) in base 13?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - (-20 - -38 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 37, 278, 939, 2230, 4361, 7542, 11983?\n\"Answer: 35*p**3 - 4*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**4\/24 - h**3\/3 + 3*h**2. Let s(q) = -q + 1. Let w(z) = 2*o(z) + 4*s(z). Let c(m) = 2*m**2. Give w(c(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 17*w - 10. Let z be n(-17). Let p = 16 - z. Let y = p + -16. What is the least common multiple of y and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x + 6. Let q be c(0). Let g be (q\/20)\/(30\/300). Solve -g*k - a + 17 = 7, -2*a - 1 = -k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)*x\/(x**(-4)\/x))\/(x**(-1\/4)\/x)**(-48) assuming x is positive.\nAnswer: x**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 - 31*u + 6. Let z be y(-15). Let i = z - 132. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-84)\/(-22) - (-2)\/11. Let f = x - 6. Let y = 0 - -4. Put y, 5, f in increasing order.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/6))**(11\/5)\/((v\/(v**(-7\/9)*v))\/(v**16*v*v)))**(-3\/22) assuming v is positive.\nAnswer: v**(-1517\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cci when three letters picked without replacement from {c: 3, q: 3, i: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-324)\/(-90))\/(4\/5) + -4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - r + 42. Suppose 0*s = 3*s - 18. Let f be u(s). Suppose 5*p - 4*p = 3. Which is the third biggest value?  (a) p  (b) f  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 132*w**3 - 3436. Let o(v) = -41*v + 17*v + 23*v. Determine o(h(i)).\nAnswer: -396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -273334 divided by -19?\nAnswer: 14386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*j**2 - 254*j**2 + 131*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 112980080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -39 + 29 + t**2 - 15*t + 42. Suppose -2*j + 6*j = -2*s + 14, j - 10 = -s. Let r be b(s). What is the nearest to r in -3, 0.2, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rpr. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 12:57 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -19*j + 47. Let c be m(3). Let s(n) = n**3 + 9*n**2 - 8*n + 22. Let t be s(c). Solve 15 = t*a - 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of -a**4\/8 - a**3\/3 - a**2. Let z be d(-2). Let s be (-7)\/14 + (-22)\/z. Let p(k) = -k. Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**4\/4 + 6*j**3 - 11*j**2\/2 - 6*j + 23\/4 = 0.\nAnswer: -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2215792.\nAnswer: 2, 79, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - -32?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 355 by -5.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 5 = r. Is -2\/11 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 33*t + 164*t - 400*t - 342*t as x + s*t and give s.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -343 not equal to 10359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 308*-3*(-4)\/(-16). What are the prime factors of o\/(-6) + (-4)\/(-8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -189223, -378444, -567665, -756886, -946107, -1135328?\n\"Answer: -189221*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3433508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 30446289 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 16*r**2 + 42*r - 2412. Is q(39) a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -91 - 11?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1167 is divided by 574.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -156 (base 7) to base 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -33*l**2\/4 + 157404*l - 171711\/4.\nAnswer: -3*(l - 19079)*(11*l - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 231\/63 - 4\/6. Let 112 + 4*r + 4*r**y - 108 + 8*r + 7*r**2 + 5*r**2 = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -245 + -1?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t**2. Let a(z) = 3*z**2. Suppose l - 2*l + 3*q - 5 = 0, -4*q = -3*l. Let n(h) = l*y(h) - 9*a(h). Let i(r) = 4*r - 11. Determine n(i(s)).\nAnswer: 16*s**2 - 88*s + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u - 3. Let w(h) = h + 1. Let l(v) = 2*b(v) + 6*w(v). What is the tens digit of l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212 + 3576 = 133*j - 3419 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1465422 is divided by 488474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - j**2 + j**3 + 6*j - 6*j**2 + j**2 - 6. Let f be 6 - (5 + -2 - 1). Let w be u(f). Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1712\/116275?\nAnswer: 1712\/116275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17679604 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 0*m - m + 8, 0 = 5*l + 5*m + 5. Suppose 35 = 4*r - 25. Calculate the highest common divisor of r and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 4 - 15)*(3*d**2 + 0*d**2 - 5*d**2).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 m, and 1 c when three letters picked without replacement from {c: 4, r: 4, z: 1, m: 1, t: 3, f: 6}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6263 rounded to 2 dps?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 12600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/60*(-15)\/36*-3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1*4 + sqrt(70))*-4)\/(sqrt(40)\/sqrt(64) - sqrt(60)\/(sqrt(6)*-2)).\nAnswer: 32*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 261 a factor of 93368313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -4*f - 4. Suppose -35 = -4*c + 45. Suppose 0 - c = 5*i. Is 6 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6058794 and 34933.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11436.051 months?\nAnswer: 95.300425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0*q - 2. Suppose -2*n + 66 = 3*r + 26, 0 = -4*n + 2*r + 48. Suppose 3*h - n = q*h. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101001012010 (base 3) to base 14\nAnswer: 52093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (68 - 3084 - 2628 + 387 - 329)*(u**5 - u**5 + 4*u**5).\nAnswer: -22344*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 5:14 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1067774?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 2\/21  (b) -0.4  (c) -6  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -837 + 19*z + 837.\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4931 or -4924?\nAnswer: -4931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 53420208559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1908, -3908, -5910, -7914, -9920, -11928?\nAnswer: -13938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452*y = 337*y + 343*y - 1006*y - 3150 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 4*j + 1053. What are the prime factors of w(0)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r + 2150*r**3 + 87*r**3 - 15*r - 773*r**3.\nAnswer: 1464*r**3 - 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1232479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1804 + 1785. What is the third biggest value in x, 3\/4, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -11. Let f = 8 + l. Suppose 25 + 20 = f*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 16*r - 94. Calculate z(-13).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -6376, -41, 1, -6, 4 in descending order.\nAnswer: 4, 2, 1, -6, -41, -6376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20 and 5060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/1)\/(16 - (-630)\/(-36)). Solve 3*m + d = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 6, 15, 38, 81?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6044815 + m - 22*m**2 - 6044839 - m + 0*m)*(-2 + 2 + m**2).\nAnswer: -22*m**4 - 24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11225 - -7226.7. Round f to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - p + 7 = -2*o, 2*o = -2*p - 18. Is 16 a factor of (-43)\/o*136\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.14 + 0.44. Let w = 0 + -1. Let p be (2\/8)\/((-3)\/(-4)). What is the nearest to w in m, p, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + i - 9. Let l be v(-4). Suppose 0 = 3*m - l, 0 = -4*h + 3*h - 4*m + 24. Suppose 23*a - h*a = 0. Sort -5, a, -1, 5 in descending order.\nAnswer: 5, a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1203 - -1003312223?\nAnswer: 1003320032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -19584, -78354, -176304, -313434, -489744?\n\"Answer: -19590*s**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 2003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65724 is divided by 10187.\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2)\/((q\/q**(-2\/13))\/q))\/(q*((q**3*q)\/q)\/q)**(-33) assuming q is positive.\nAnswer: q**(2583\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**3 - 3*a**3 - a**3)*(a + a + a) + 9 - 15 + 3*a**4 - 2*a**4.\nAnswer: -2*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3\/4 + 11529*j**2\/4 - 4997343*j\/2.\nAnswer: -3*j*(j - 2522)*(j - 1321)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(2)*-2) + (sqrt(539) + -1 - sqrt(11)) + sqrt(11) + 5*sqrt(44)*2.\nAnswer: -1 + 53*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/99 and 92\/115 + (-397)\/90?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 6:41 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -26428244, 4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 25 + 5*y**3 + 9*y**3 + 7 with respect to y.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 9:19 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 143664751*n + 6*n**2 - 143664751*n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is 39019 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30846 and 674584.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 265 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.4 + -2. Let p = 18 + -18. Put p, l, 0.12 in ascending order.\nAnswer: p, 0.12, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10647 - -6054.5. Round i to the nearest ten.\nAnswer: -4590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.215 - -109.315. What is the closest to 1\/4 in -0.4, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*1*29\/(-29)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 56416986 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9261, 18395, 27527, 36657?\nAnswer: 45785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27820584800 rounded to the nearest 1000000?\nAnswer: 27821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 417461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1756 - -91319\/52. Calculate the common denominator of -21\/16 and r.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1854 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4637499212?\nAnswer: 2, 47, 24667549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 7*t = -3*f + 12, -5*t - f = 16. Which is the closest to -1?  (a) t  (b) -0.2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/1969 + 7888\/5907. Factor s - 1\/3*j**2 + 0*j.\nAnswer: -(j - 2)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = j + 10. Let t(h) = -31 - 2*h + 3*h + 2*h + h. Let u be t(9). Solve -20 = u*s + 4*y, -3*s + y = 7 + j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 25*s + 35. Let c(h) = 3*h**2 - 76*h + 105. Let i(f) = -7*b(f) + 2*c(f). List the prime factors of i(16).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 596407195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -208*p**3 + 32*p**2 + 32*p + 32. Let r(b) = -32*b**3 + 5*b**2 + 5*b + 5. Calculate 5*c(k) - 32*r(k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + w + 1. Let h be i(3). Let r(p) be the third derivative of -p**5\/60 + 2*p**4\/3 + p**2 - 7. Is r(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21740344?\nAnswer: 2, 229, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*q - 5 = 2*u, 4*u - q + 13 = 0. Let x = -4.5 - -2.5. Which is the closest to 0.3?  (a) -0.4  (b) x  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*b - 78 + 1508. What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 2 + 18. Let g = -1.8 - -2. Let s = g - 0.1. Which is the closest to s?  (a) -0.1  (b) f  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 5*i + 5, -q = -2*i + 519 - 521 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2156 is divided by 86?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15412 and 192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 2, -2, -1, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.7 + -0.6. Let i = s - -1.16. Let l = i + 0.14224. What is l rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64715781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140656913 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - f + 1. Let b(x) = -x**2 - 100. Calculate b(d) - 2*t(d).\nAnswer: -2*d**3 - d**2 + 2*d - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5461686 and 1944.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a*t**3*v + 2*a*t**2*u + 224*a*t**2*v**3 - 7*a + 2*t**3*u*v**3 + 4*t**2*u*v**2 wrt v.\nAnswer: 1344*a*t**2 + 12*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 431, 452, 475, 500, 527, 556, 587?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 + -146\/9. Put 3\/2, m, 2, 1 in decreasing order.\nAnswer: 2, 3\/2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -91*i - 1. Let o(a) = 4*a - 25. Let p be o(5). What is the hundreds digit of l(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x + x - x**2. Let m be a(0). Let v be (-1)\/(-2) + 1 + -6 + 4. Does v = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289.83796 rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m + 17. Let i be y(9). Suppose -2*s + 3*k = 6, -4*k = -4*s - 0*k - i. Solve s = -u - 5*w + 7, -4 = u - 4*w - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 42 + -38. Suppose -p = 39*k - 41*k. Suppose 3 = -f + 4*v + 60, -k*f + 88 = 5*v. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2*u + 134800006 = 0, 2*t = t + 5*u + 26959985. Round t to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -21. Let h(s) = 3*s**3 + 17*s**2 - 8*s. What is the remainder when 20 is divided by h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6883 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/3 of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*(sqrt(3) + 3 + 1) + (2 + sqrt(192) - (sqrt(3) - (sqrt(300)*1)**2)) + 3.\nAnswer: 6*sqrt(3) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*o = -113, -2 = 3*o + 4. Let z = 43 + c. Put 3, z, -5 in increasing order.\nAnswer: -5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17475 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(10\/25)\/(6\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9592.87ms in nanoseconds?\nAnswer: 9592870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12135.108 months in decades?\nAnswer: 101.1259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -2*t**2 - 20*t + 682. Calculate r(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -22504 divided by 971?\nAnswer: -22504\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25679 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b8b52 + 0?\nAnswer: 1b8b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 41401 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 17 - 37 = -3*q, 0 = 2*q + 4. Suppose 2*f - 3*f = -v. Let m(j) = -j**3 + j**2 + j + 58. Calculate the remainder when m(0) is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -10\/10129 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3087?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*k - 16 + 36. Put k, 5, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47173 + 79408 = 307*w for w.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 26*v**2 + 9*v + 65. Let k be s(-26). Let h = -78 - k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**2 + 38*b**4 + 35 - 4*b**4 + 74. Let g(s) = -33*s**4 - 3*s**2 - 109. Let h(r) = 2*g(r) + 3*z(r). What is the derivative of h(c) wrt c?\nAnswer: 144*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -718 divided by -95\nAnswer: 718\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is b (base 14) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 156445 (base 7) to base 16.\nAnswer: 797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(-7)*(2\/8 - 0). Let o be 2 + (-112)\/57 + 0. Let c = o + 43\/399. What is the nearest to l in 0.3, c, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8 - 1) + (-35 - -31). Solve 3*y - y + 10 = v, 6 = -3*y - p*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*h - 506 = -4*h + 22 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1328340791 - 6156859592288\/4635. Let i = 1\/1030 - t. What is the common denominator of 4\/(-8) - 74\/10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g**5 + 58065*g**4 + 232299*g**3 + 174231*g**2 = 0 for g.\nAnswer: -3, -1, 0, 19359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.31639, -2\/3, 4182 in increasing order.\nAnswer: -2\/3, -0.31639, 4182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uunuuufuufun. Give prob of picking 1 n, 2 f, and 1 u.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -21012110 (base 4) to base 13\nAnswer: -13c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 11*q - 94. Let k be l(24). Let s = k - 169. Sort s, 2, 6 in increasing order.\nAnswer: s, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 62. Let o = i + -32. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8 + 4)\/8)\/(3\/(-30)). What is the derivative of -k**4 + f*k**4 + 520 - 529 wrt k?\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**2 + 6*o + 9. Let c(x) = 8*x**2 + 19*x + 26. Let j(t) = 4*c(t) - 11*q(t). Let s = -391 - -402. Let w be j(s). Are 2 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 587, -2, -6 in increasing order.\nAnswer: -6, -2, 36, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.35, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - 0.2. Let k = 0.035327 + -0.135327. What is the closest to t in k, -10, 3, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from yliil?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1906*i**6 + i**5 - i**4 + 1632*i**2 - 2 wrt i.\nAnswer: -228720*i**3 + 60*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40 + 19. Let q be (-3)\/z - 102\/(-21). Suppose -q*x - 3 = k - 2*x, 2*k - 14 = -x. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 1241.\nAnswer: 4\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 32800.33 weeks?\nAnswer: 19837639584000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/7)*r)\/(r**4\/r)*(r\/(r\/r**(-3))*r)**(-15\/8) assuming r is positive.\nAnswer: r**(61\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1052894.14 rounded to the nearest ten thousand?\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/20)\/(19\/((-190)\/(-24))) + 6660\/(-96).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 2:51 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -19472 - 10113.3239?\nAnswer: -29585.3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 366*h**5 - 3*h**2\/2 - 6144*h - 7015. Find the first derivative of b(y) wrt y.\nAnswer: 7320*y**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8284363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 3 = c, -2*c = -0*c - 4*s. Let u be 39\/c*(-20)\/(-15). Let z = u - -41. Solve 2*r + z = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1109 or 1110?\nAnswer: 1109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 187.32689 - 0.10689. What is s rounded to 0 decimal places?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 693.24.\nAnswer: 207.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s + 21 + 1\/2*s**4 + 0*s**3 - s**2. Let x be z(2). Solve x = 4*n - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-23643)\/(-1395) - 17)*4\/(-32)*2.\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2926 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-7)\/1*((-140)\/49)\/4. Let y(j) = j**3 - 6*j**2 + 5*j + 5. What is y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -486.60955 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/662?  (a) -1.3  (b) -2  (c) -0.5  (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkgx when four letters picked without replacement from {n: 1, k: 1, g: 1, q: 2, x: 1, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 take away 0.143965966044?\nAnswer: 29.856034033956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, 2, 18, -0.017?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5018269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*u - 13. Suppose -x - 38 = -2*z, -31 = -u*z + x + 27. Suppose -4*n + z = 3*p - 10, -2*p - 13 = -n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 39, 33, 27, 21, 15, 9?\n\"Answer: -6*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -11*f**7\/210 - f**5\/10 - 4*f**2. Find the third derivative of q(c) wrt c.\nAnswer: -264*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**2 - 7*r - 12. Determine l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**5 - 779*s**4 + 8*s**3 - 40776*s**2 - 2.\nAnswer: 60*s**2 - 18696*s + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 14) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25.54 - -25.84. Let q = 9 - 6. Suppose -z - 7 = 5*w + 19, 5*w = -5*z - 30. Which is the biggest value?  (a) z  (b) u  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-18)\/s**20 assuming s is positive.\nAnswer: s**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 12*d + 43. Calculate m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 90.3 - 96. Let j = -95.6 + 101.4. Let m = j + i. What is the nearest to -0.3 in -1\/2, m, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2203 + -1086. Let l be (-3564)\/(-8) + (-1)\/(-2). Let b = j - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 5*l - 68. Suppose 3*p - 2*p = 0. Suppose -4*n + 0*n + l = p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*h**3 - 1)*(-h**2 + h**2 + h**2) + 0*h**3 - 3*h**5 + 0*h**3 + (-2*h**4 + 3*h - 3*h)*(2*h - 3*h - h) + 6*h**5 - 6*h**5 - 10*h**5.\nAnswer: -7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1604 or -1622?\nAnswer: -1604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3 + sqrt(5) + 1)*-1 + (1*(sqrt(15)*-1 - sqrt(15)))\/(sqrt(432) + sqrt(432)*-1 + sqrt(3) - sqrt(3) - sqrt(3)).\nAnswer: -20 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/6)\/((-1)\/(-33)). Let c = 192 - 137. What is the greatest common factor of h and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t - 9. Let f(w) = -w**2 + 8*w + 10. Let s be f(10). Let j be (-144)\/s - (3 - 13\/5). Does 19 divide n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 6. Let i be j(-6). Solve i = -2*c - 5*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0559143 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2220074*j**6 - 2*j**4*k**2 - 3*j**2*k**2 - 6*j**2*k + 1417*j**2 + k**2 + 2 wrt j?\nAnswer: -266408880*j**3 - 48*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2))**(-30\/11)\/(h**(2\/5)\/h*h*(h**(2\/7)\/h)\/h*h*h))\/(h**(-1\/4)*h**(6\/11)*h)**(16\/11) assuming h is positive.\nAnswer: h**(666\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*r + 12, -l + 3 = -5*l - r. Solve s = -l - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -4\/3*i**3 + 0*i + 13 + 0*i**2. Let c(t) be the second derivative of -t**4\/4 - 2*t. What is c(g(p))?\nAnswer: -48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7517)\/(2*5\/(-120)). Let q = a - 60104. Let i be q\/(5 + (0 - 4)). What is i rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 4, -3 in ascending order.\nAnswer: -3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -2)\/((-2)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 8*g**2. Let d = -92 - -137. Let k(f) = -45 + 0*f + d - 2*f. Calculate k(o(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5063 rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, s: 4, o: 2, f: 2, g: 2}. What is prob of sequence feg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -3*y + 2 + 0 + 2*y. Let u = -175 + 174. Let b be d(u). Solve b*p - p = 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d (base 15) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 24*p + 392. Let s be i(-13). Is ((-21678)\/12)\/((-8)\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqqvwqrccqqqwq. What is prob of picking 2 q, 1 w, and 1 r?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3354476961 to the nearest integer?\nAnswer: 57918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -811196 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17)\/(-4) - 3\/12. Suppose -s*r - 3*g + 50 = 0, 3*r - 27 = 4*g + 23. Calculate the highest common divisor of r and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -11*s**3 - 3*s**2 - 3*s. Let j(h) be the second derivative of h**5\/2 + h**4\/6 + h**3\/3 - 68*h - 8. Determine -6*j(m) - 4*t(m).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -16963.9?\nAnswer: -16963.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 8*c**2 + 10*c + 5. Let q be l(-9). Let n be (2 + q\/2)*1. Solve g + n = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*s + 16. Let l = s - 3. Let y(a) = 147*a**2 - 5*a + 20. What is the remainder when y(0) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2856*z - 2856*z - 410*z**2 - 712*z**2 to q*z + v + w*z**2 and give w.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 228304.8 months in years?\nAnswer: 19025.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1*2133410\nAnswer: -2133410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -361.516810366+-16\nAnswer: -377.516810366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 - -66. Let k = 34601 - 34596. What is the biggest value in -5\/3, h, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1711459?\nAnswer: 1711459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*(27\/6 - 6). Solve 0 - 9 = 3*b - c*h, -3*b + 15 = 5*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 548?  (a) 2\/31  (b) 4  (c) 15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 9:36 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -15*q**5 - 16*q**4 - q**3 - 4*q**2 + 4*q. Let u(s) = 15*s**5 + 15*s**4 + 5*s**2 - 5*s. Let o(p) = -4*u(p) - 5*x(p). Factor o(c).\nAnswer: 5*c**3*(c + 1)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooooeooeeooe?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 8*t - 10)*(2 + 1 - 2).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 5. Let c = 157 + -159. Put c, 4, d in decreasing order.\nAnswer: 4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1991965 and -1.5.\nAnswer: 1991963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 1976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 0 - (-3 + 0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(2299) + sqrt(2299) + 6*3*sqrt(2299))**2 - (sqrt(2299) - (sqrt(2299) + sqrt(2299) + -2 + 4))).\nAnswer: -1839204 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {p: 1, n: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -378, -747, -1106, -1461, -1818, -2183, -2562, -2961?\n\"Answer: -v**3 + 11*v**2 - 395*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11\/((-88)\/24)*(-8)\/(-6). Let j(p) be the first derivative of p**6\/360 - 5*p**4\/24 - p**3\/3 - 1. Let k(m) be the third derivative of j(m). Give k(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 - f**2 + 0*f**2 + (4*f - 5*f + 2*f)*(-5 + 5 - f) - 4*f**2 + 3*f**2 - f**2 + 116*f**2 + 77*f**2 - 135*f**2.\nAnswer: 56*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -539 + 724. Let w = t + -171. Solve -15 + w = -z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 102304*l**2 - 107890?\nAnswer: 204608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*d + 9 = 0, -76*h - 4*d = -79*h - 32. List the prime factors of (-3)\/((-1)\/(-2336)*h).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 564462 + 11?\nAnswer: 564503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2890187.\nAnswer: 17, 197, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 8*p - 171 = 13*p, -5*k + 295 = -5*p. What is the remainder when 100 is divided by k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -8*g**2 + 7*g + 4430. Let x(t) = 2*t. Calculate d(x(f)).\nAnswer: -32*f**2 + 14*f + 4430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + -1 + 217\/54. Let s(u) be the second derivative of -t*u**4 + 0 + 1\/27*u**3 - 2*u + 0*u**2. Determine m, given that s(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 517218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of 2*u**3\/15 + 8*u**2\/5 + 32*u\/5 - 3. Factor w(s).\nAnswer: 2*(s + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of (-28 + -2)\/((-12)\/1024)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*h**3*n**2*r - 7*h**3*n**2 - 18*h**3 - 4*h**2*n**2*r - h**2*n*r - 4*h**2*r + 7*n**2*r wrt h.\nAnswer: 12*n**2*r - 42*n**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 319102 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 PM and 6:30 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*k = 185*k + 249*k + 24050 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/(p*p\/p**0))**(-1\/41)*p*p**4*p*p**(-3) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1502682251 minus -1?\nAnswer: -1502682250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/5*(-2)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ieieiieeeieeeeeeeie?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1935 - 5\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - -2.5. Let n = -1 - s. What is the smallest value in n, -1\/6, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -g - 3. Let j = 11 - -10. Let n = g + j. Calculate the highest common factor of 20 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-15 + 3)\/6 + 0\/2)*-2. Suppose -7*h = -2*h - 10. Let p(c) = 4*c - 2. Let y be p(h). Solve 2*b + y = -k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 at least -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6304 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/6138 and -145\/134416062.\nAnswer: 134416062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 8*z**2 + 5*z**2 + 3*z - 8*z**2 + 2*z**3 - z**3 + 1. Give m(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23368903547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 - 5*f**2 + 5*f - 4. Let v be d(4). What is w in -2\/3*w**3 + 5\/3*w**2 + v - 2\/3*w = 0?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-6*(0 + sqrt(539)) - (sqrt(539) + -1 + -1)) + (sqrt(55) - (sqrt(605) - 2*sqrt(605))\/sqrt(11))\/((sqrt(405)*2 - sqrt(405)) + sqrt(405)).\nAnswer: -440*sqrt(11)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 428354?\nAnswer: 2, 214177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/16?  (a) 3\/5  (b) -8  (c) -1\/80  (d) 0.23  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66)\/(-121)*(-17)\/34*2*(-3)\/3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-7 + 6 + -4 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 152.5273 microseconds to milliseconds.\nAnswer: 0.1525273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a - 34 = 2*u, 7*a + 121607*u - 121608*u = -23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1147660499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100.98 - -181661.\nAnswer: 181761.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o**2 - 5*o + 10. Let l = 543 + -528. Calculate the smallest common multiple of k(3) and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from duudtnd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -58, -4, -5.\nAnswer: -58, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.20839307 and -907378.\nAnswer: -907378.20839307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + g - 19. Let l be q(4). Let j(b) = 12*b**2 + 4*b - 5. Is j(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(1331)*-4 + (sqrt(1331)*1)**2*1.\nAnswer: 88*sqrt(11) + 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/40*(-5)\/8)\/(18\/(-72))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/29, -548, 2, -5, 0.5, 11\/37, 1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85420948.\nAnswer: 2, 53, 179, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (96 - (59 + 37))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from uuuuaruuuuuuuu.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 6*d**2 - 3*d + 2. Let o be f(5). Suppose y + o = 4*y. Suppose y*l = l + 861. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**2 + 4*c - 2. Let y be (-2)\/5 - (-246)\/15. Suppose -4*t = 4 + y. What are the prime factors of n(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13044 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - w - 4*w - 120 = 0, -3*w - 116 = -5*j. Calculate the smallest common multiple of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11355900 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/6))**(-1\/16)\/(v\/(v\/v**2)*v*v**(2\/13)))**(-6\/7) assuming v is positive.\nAnswer: v**(3949\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 20*g**5 + 2*g**2 wrt g?\nAnswer: 1200*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 4*x**2 + 28*x + 61. What is f(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -725509*h**6 - 2*h**4 - 61*h**2 + 549074*h wrt h.\nAnswer: -87061080*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3 + 44667*d**2 + 10552206*d - 10596872 = 0. Calculate d.\nAnswer: -236, 1, 44902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z + 188. Let i(j) = -j. Determine d(i(o)).\nAnswer: -4*o + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 180 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1304*w**5 + 1881*w**2 wrt w?\nAnswer: 78240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r = -130*r + 70 + 245. Suppose 0 = 4*n + 2 - 18. Solve -q = r*x - 3*q, n*x = 2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -866a9041 - 2?\nAnswer: -866a9043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -67408, -67417, -67408, -67375, -67312, -67213, -67072, -66883?\n\"Answer: o**3 + 3*o**2 - 25*o - 67387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5420*c + 5291*c + 3096 = 0 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Convert 122002230321 (base 4) to base 14.\nAnswer: c99c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 7*q - 3. Let u(r) = r + 1. Determine -2*i(n) - 4*u(n).\nAnswer: -18*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 2:34 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 17753 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1974 + 2377. Is p > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -362 - -364. List the prime factors of (31\/f)\/(((-104)\/(-13))\/304).\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130000 (base 4) to base 8\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3376 - 3378 = 3*v + d, -7*d = -7*v + 42 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3130143, 3130197, 3130251, 3130305, 3130359?\nAnswer: 3130413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + 3*t - 4*t + (3 - 3 + 2)*(-14*t + 8*t - 9*t))*(0*t**3 - t**3 - t**3).\nAnswer: 62*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 954, 2039, 3120, 4197, 5270, 6339?\n\"Answer: -2*p**2 + 1091*p - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 times -3.576?\nAnswer: 257.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 8*a**2 - 5*a + 10. Give g(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -683*c - 16478 - 15555 + 4713 = 0 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 - 11*f - 5. Let x be t(6). Let b be 248\/(-1674) + -1 + x. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - y - 2*y = -64, 3*k = 4*y + 79. Suppose 0 = 3*t + 2*o - 14, o - k = -5*t + 6. What is the remainder when 13 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(357\/6)*14\/(-4)*10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 12:16 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212210000102 (base 3) to base 8.\nAnswer: 1622075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -15311004690 + -747\nAnswer: -15311005437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -634 + 629. Is 4\/p - 4\/20*-1294 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*y + 69 = -16*y. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/(-6))\/(15\/100). Solve -2*c = -3*u + 11, -2*u = 4*c - 6*c - s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318082352 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 153 and 12?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.429854672 + 4.43. Round a to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, i: 4, r: 3, a: 5}. What is prob of sequence ir?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 652 + 14382 = 0. Suppose 2*b + 0*b + 5*c - 1809 = 0, 0 = -3*b - c + f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 16. What is the units digit of (-8)\/((o + -1)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-429)\/33*(-3)\/(-3)*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -12, -21, -12, 27, 108, 243, 444?\n\"Answer: 2*d**3 - 3*d**2 - 14*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0.235  (b) -2  (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -330*x**3 - 50*x**3 + 365*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 4*s - 2. Let h = 3 + -1. Let o be x(h). Let u be ((-4)\/(-6))\/((-27)\/(-162)). Solve -3*i + u*a = 16, 2*i + 5 + o = -a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1387\/9300 + -13\/75. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -15*a**3 - 3*a**2 - 4*a - 2. What is n(-2)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31\/996 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.09012 to 3 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -15906 (base 10) in base 13?\nAnswer: -7317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q**3 + 5*q**2 - 9*q - 1. Let k(b) = -2*b**3 - 2*b**2 + 5*b + 1. Let r(u) = 3*g(u) + 5*k(u). Does 7 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, n: 1, r: 2, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 6, 21 = 3*u - 2*m + 2. Let k = u - 3. Suppose k*d = 3*d - 18. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9958.192384 - 11559.1924637. Let m = 1601 + l. Round m to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -52 - -51.6. Which is smaller: v or 2\/15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1505\/6 + -251. Suppose 0 = -f + 5 - 4. Is f less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 127470 divided by 42490\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*k + 15*k**3 + 9*k - 15*k**3 - 24*k**4 wrt k.\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -674094629 + -1?\nAnswer: -674094630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 190423 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v**3 + 42*v**2 + 26*v + 55. Calculate r(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 25.5, 0.3, -12, -5, -17, 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 31292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2 = 8. Suppose -4*v - c*b = -5*b - 68, 2*v + b = 44. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 113358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, c: 4}. Give prob of picking 2 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-2404)\/(-16) + 0 - 24\/(-32) is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from {x: 7, g: 3, a: 2, j: 3, m: 3}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -131*l + 294 = -89*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/15 of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9329787 and 100647.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 51215*k - 973111. Determine x(19).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38209624 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ecqq when four letters picked without replacement from {c: 2, m: 2, x: 1, k: 2, e: 5, q: 2}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 52 + 2 = 0. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -2*a + w, -2*w + 10 - 24 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1737)\/(-270) - 6 - (-1)\/6. Which is the third smallest value?  (a) 0.15  (b) s  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 51*y - 1. Let t be q(-1). Let b be (-8)\/t + (-412)\/(-26). Suppose 5*r - 19 = b. What is the greatest common divisor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4312004 (base 5) in base 2?\nAnswer: 10001110000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 4*q - 5*q)*(-q - 2*q + q) + (q - 2*q + 2*q)*(4*q - 4*q - q) + 3*q**2 + q**2 - 2*q**2 + (0*q + 4*q - q)*(q + 2 - 2).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(48)*-2 + (sqrt(432) - (sqrt(432) + 0)) - 5*(1 + sqrt(300)))**2*3 + 1).\nAnswer: 3480*sqrt(3) + 60704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1*(3 - 3))\/(-3) + 18. Solve 5*n + 0 = -v - j, 3 = -4*n + 3*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18171804 divided by 2?\nAnswer: 9085902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2*t - 12 = -0, -8 = -4*t. Let s(q) = 59*q + 162. Let l be s(5). Let c = 585 - l. Calculate the greatest common factor of z and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 1340.62419.\nAnswer: -402.187257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -18480 * 144.\nAnswer: -2661120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b5b8d + -a?\nAnswer: -b5b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n - 236387 = 99928. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -562*w = 604*w - 1264*w + 6566 for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + -2. Let c(m) be the second derivative of m**3\/3 + m + 7. What is c(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 213020640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(605) + (sqrt(605) + 2 + (-2 + sqrt(605) + sqrt(605))**2 + sqrt(605) - sqrt(605) - sqrt(605)) + 5.\nAnswer: -77*sqrt(5) + 2431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, 143, 1, 18, 4 in ascending order.\nAnswer: -2, 1, 2, 4, 18, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j + 5*j + 2*j)*(-4*j**4 + 5*j**4 + j**4) + j**5 + 2*j**3 - 2*j**3.\nAnswer: 21*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1365256409\/17290 - 552735\/7. What is the common denominator of y and 85\/304?\nAnswer: 19760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 1. Let h(s) be the first derivative of s**4\/2 + s**2 + 3*s - 36276. Let n(m) = m**2 - m - 1. Determine a*h(c) - 2*n(c).\nAnswer: -2*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 9)\/60 + 12\/15?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 140 + -135 + (-32 - 2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 66435 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 692693 - -5228255\nAnswer: 5920948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7931, 7910, 7871, 7808, 7715, 7586, 7415, 7196?\n\"Answer: -z**3 - 3*z**2 - 5*z + 7940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) - 6*-1*sqrt(275)) + -1)**2 + -4.\nAnswer: -70*sqrt(11) + 13472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1671 + 1677)*(50\/(-4))\/1.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 4*o - 29, 5*b - 6*b + 8 = 3*o. Solve -52*i + 51*i + b = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u*u\/(u**(-36)\/u)))\/((u\/(u**(-16\/3)\/u*u*u))\/u))**32 assuming u is positive.\nAnswer: u**(-4160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 5*l**2. Let x be f(5). Suppose -19691*n - 76 = -19710*n. Solve -h = -x*h + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 - 2*x**2 + 22*x - 174. Let i be j(5). Calculate the highest common factor of 110 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35347376 and 84?\nAnswer: 742294896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51 - -88. Let v = 81 - x. What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23411 is divided by 686?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j + 22. Let s(f) = f**2 - 13*f - 1. Let v be s(12). What is r(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1730 by -2.\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g. Let s be n(-1). Let w(f) = f**3 + f - 1. Let x(i) = -3*i**3 + 4*i**2. Let c(q) = s*x(q) - 2*w(q). Suppose -3275 = -257*j - 2504. Determine c(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r**4\/7 + 40*r**3\/7 + 80*r**2\/7 - 40*r\/7 - 12 = 0 for r.\nAnswer: -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -5.57815 and 12.\nAnswer: 6.42185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**4\/9 + 4388816*m**3\/9 - 4388824*m**2\/3 + 13166480*m\/9 - 4388828\/9.\nAnswer: 4*(m - 1)**3*(m + 1097207)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151*o**5 + 1577*o - 1?\nAnswer: 3020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**(-1\/2)))\/v)**(2\/23)*(v*v\/(v\/(v**(-2\/7)\/v*v)))\/v*v*v*v**(-5) assuming v is positive.\nAnswer: v**(-550\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 78 and 627094?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + 3*i + 7 = 0, -2*b - 4*i - 48 + 52 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/145, 2\/20891, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2237291 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 132?  (a) -1  (b) 1047  (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 97108 + 62892. What is z rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/12 - 273\/(-18). Suppose 0 = 3*r - 8*r + g. Find the second derivative of -2*a**r - a + 8*a + 5*a**3 + a**3 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/2)\/r**1*r\/(r*r*r\/(r*r**1)*r)*r*r\/r**(-5)*((r**(-2\/5)\/r)**(-3))**(-10\/9) assuming r is positive.\nAnswer: r**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 460 or 17962\/39?\nAnswer: 460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 4:20 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*c + 58 + 221 = 0. Sort c, 2, -4, -6.\nAnswer: -6, -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllkllolkkllllklodk. Give prob of picking 1 l and 1 k.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3049900 rounded to the nearest 10000?\nAnswer: -3050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -41402*z. Let d(f) = 276*f. Determine c(d(t)).\nAnswer: -11426952*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 8)*(3865 - 3865 + 454*j**2).\nAnswer: 3178*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-155*r + 441*r + 196*r)*(-3*r + 0*r - 2*r).\nAnswer: -2410*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3102, 3104, 3108, 3114, 3122, 3132, 3144?\n\"Answer: h**2 - h + 3102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 5*d - 0*d - 34, 0 = 5*d - p - 26. Suppose 2*a - d = -2*y, 2*a + 5*y + 21 = 15. Solve a = 4*s - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**2 + 8*f + 1. Let m be r(-6). Let g be 2\/6 - m\/3. Suppose c + 4*x - 4 = 10, -g*x - 26 = -3*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*((-13*x - 3 + 3)*(-2*x**2 + 4*x**2 - x**2) + 0*x**2 + 0*x**2 - x**3) to q*x + s*x**3 + d + m*x**2 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 0*a**2 + 4*a**2 + 8 - 5 - 8*a**2 + 2*a - 7*a. Determine q(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.052 + -0.342. Let w = -0.01 + l. Let v = w + 0.29999946. Round v to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15) - sqrt(45)\/sqrt(3))\/sqrt(3) + sqrt(5))*-2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/7 + 69\/21. Let j be (-3)\/(-2)*46\/a. Let x be (0 - 0) + -1 + 24. Calculate the greatest common divisor of j and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 2799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 128 by -2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 37 = -3*r - 16, -5*r + 3*z + 19 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8061, -7618, -7175, -6732, -6289?\n\"Answer: 443*s - 8504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -4, -8\/9, 1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 + 3 + 0)*(3 - 1 + 0) - 2 - 5 - 1)*(-3 - 6 + 0)*(-7*r - 18 + 18) as s*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 7*q + 2*q = -194, 0 = 4*x + 2*q - 794. What is the greatest common factor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(135)\/sqrt(5))\/sqrt(9).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -459 - -464. Let q(s) be the third derivative of 0 - 7\/270*s**r + 1\/27*s**4 + 0*s + s**2 + 1\/9*s**3. Factor q(x).\nAnswer: -2*(x - 1)*(7*x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2742 - 781. What is the highest common divisor of 37 and w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 11*k**2 + 2*k + 39. Determine g(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98757 is divided by 2335.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 2*z + 3. Suppose 179 = 6*w - 31. What is the remainder when w is divided by y(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1600  (b) 0.3  (c) -4  (d) 7  (e) 156  (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c - 35. Let a(k) = 15*k + 106. Let i(v) = 2*a(v) + 7*p(v). Let z = -33 - -58. Calculate the remainder when i(-16) is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 4 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9  (b) 0.3  (c) 3  (d) 0.2  (e) 0.381\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(288))\/sqrt(6))**2 + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - l**2 + 2*l + 117. Let y be f(0). Let q = 122 - y. What is the fourth biggest value in q, 0, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -66 + 85. Suppose -4*v + v = 3*n + 9, 2*v = 3*n + o. What is the highest common factor of v and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 - 3*k + 2. Let d be c(3). Let h = 2 - d. Suppose -5*v - 40 = 5*b, -236*v + 232*v - 24 = 2*b. Sort 3\/7, v, h in increasing order.\nAnswer: v, h, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223143 (base 9) to base 15.\nAnswer: 2986c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 8*h**2 + h + 10. Suppose 3*b - 4*b + 9 = 0. Suppose -65 + b = 7*g. List the prime factors of x(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 45*z**2 + 80*z - 102. Calculate the lowest common multiple of p(-43) and 390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -882*r - 575*r + 98250 = 324*r + 184*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.049 + 1.999. Which is smaller: -210 or d?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1694669003?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 84, 117, 146, 171, 192, 209?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2407287, 2407288, 2407289, 2407290, 2407291?\n\"Answer: l + 2407286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 17798950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/15)\/((-264)\/(-5)*(-1071)\/1428).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31384 divided by -4.\nAnswer: -7846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + t - 120 = -4*y, -5*t = y - 34. Suppose -31 = -4*h + y. What is the first derivative of -h + 6 - 3*q - 5*q wrt q?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2961231407.\nAnswer: 89, 33272263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 996 and 93375?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**3 - 7341*h**2 - 603708*h - 7004844 = 0. What is h?\nAnswer: -66, -14, 2527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:19 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7458576*f**3 + 932*f**2 - 17*f + 184.\nAnswer: -44751456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*w + 25*w + 5760. Suppose 0 = -0*s - 12*s + w. Calculate the highest common divisor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of a**7\/105 + a**6\/80 - a**5\/120 - 9*a**2\/2 - 16. Let b(r) be the second derivative of d(r). Factor b(x).\nAnswer: x**2*(x + 1)*(4*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22531381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 6*f**2 + f - 18. Does 18 divide m(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(128))*4 + (-3*(sqrt(128) + -1 + sqrt(128)) - sqrt(128))**2.\nAnswer: -304*sqrt(2) + 6281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + sqrt(300)*-1)\/sqrt(6))**2 + (-2*sqrt(50))**2*-5.\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 1 + 11)*(2 + 0 - 1) + (1 + 2 - 5)*(-4 + 4 + 1))*(29*z + 43*z + 98*z).\nAnswer: 850*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 151, 0, -5, 4.\nAnswer: -5, 0, 2, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9 - (-6860)\/616 - (-2 + 8) and (4\/78)\/((-12)\/9)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37 (base 14) to base 10.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from mjjmjmmmjmjjj.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 7 = -2*j + u, 0 = j + u + 3. Which is greater: 6\/5 or j?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in 1, 0.5, 4\/3, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 246210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/5820 and -91\/5820.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) -34\/13  (b) 11  (c) 1\/17  (d) -1  (e) 2\/19  (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 688*o - 168 = 520*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1566553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 + 18.8. Let j(c) = 8*c**3 - 78*c**2 - 19*c - 7. Let b be j(10). Put 1, k, 1\/4, b in decreasing order.\nAnswer: b, 1, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*i + 0*i + 45 + 39 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = p + 6, -5*p = j - 0*j - 25. Suppose -4*m - 37 = -3*t - 9*m, -p*m = -2*t - 12. Solve 0 = t*c - 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-5*-2*sqrt(245)*-2 - (-3 + -5 + -1*sqrt(245)))*5*6)**2.\nAnswer: -1891260*sqrt(5) + 79656669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68862, -275462, -619796, -1101864?\nAnswer: -1721666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 906.99 - 902. Let h = -0.3 + 0.29. Let n = u - h. Which is the biggest value?  (a) -4  (b) -2  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 5*w - 7*s - 186, 4*w - 159 = -s. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 29 = -h, -2*h - u + 6 = -7. Suppose 2 + h = 3*w. Let z(v) = -v**2 - 11*v + 1. What is the remainder when w is divided by z(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/644952 and -71\/105.\nAnswer: 3224760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, q: 1, j: 2, a: 1, p: 1}. What is prob of sequence qjj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.19573 + -2911320733.\nAnswer: -2911320732.80427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -929\/16 greater than or equal to -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/6 + 7*l**2\/2 - l\/6 - 7\/2.\nAnswer: (l - 1)*(l + 1)*(l + 21)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 25*y - 54. Let w be z(28). Is 31 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 257*z**2 - 9*z - 261*z**2 + z**3 + z + 3. Give f(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1155, -4066, -8749, -15204, -23431?\n\"Answer: -886*t**2 - 253*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45998\/11 + -1401449\/198. Let u = -6727 - -3829. Let z = u - o. Calculate the common denominator of z and 83\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bqpupqma. What is prob of picking 1 a and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 67480 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 divided by 2?\nAnswer: 367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.8 + 0.1. Let y = s - -0.61. Let q = -5 - -15\/2. What is the second biggest value in 0, y, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -1  (c) 0.4  (d) 43  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/4 bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*w - 65*w + 3 - 8 + 0.\nAnswer: 3*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, 66, -16, -8 in ascending order.\nAnswer: -16, -8, 3, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3025  (b) -3  (c) -0.679  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 6719915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-155*a + 182*a + 122*a)*(-8*a - 1 - 6*a + 9*a).\nAnswer: -745*a**2 - 149*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 11:07 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (54\/60 + (-9)\/(-15))*2. Suppose -j*v = z - 39, -5*z = -0*z + 3*v - 183. What is the lowest common multiple of z and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 105\/19097?\nAnswer: 105\/19097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4\/11*n**2 + 2\/11*n**4 + 0 + 6\/11*n**3 + 0*n = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.44 + 0.04. What is the second smallest value in f, 4, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*t - 32*t - 4587 = -h, -5*h - 9195 = -4*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**3 - 4*k + 6*k - 2*k - 7*k**2 as v*k + b + g*k**3 + m*k**2 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**2 + 3*d**2 + 6*d - 4*d**2. Let g(o) = o**3 - 5*o**2 + 6*o - 2. Let n be g(4). Suppose 9 + n = -3*l. What is r(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0024 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) -7  (c) -3\/13  (d) 0.5  (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from aaaeaeyyeeya.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the first derivative of -11*t**4\/24 + t**2 - 3. Let o(h) be the second derivative of u(h). Suppose 2*w + 3*w - 1 = -4*c, 2*c = w - 3. What is o(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(425)*2 + sqrt(425))*5*-3 + -3 + -3)**2.\nAnswer: 1800*sqrt(17) + 860641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l**2 + 164 - 131 - 4*l**2 in the form o + z*l**2 + q*l and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4016, 8010, 12004, 15998, 19992?\nAnswer: 23986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000968989 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 + 18 = -75*v + 79*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10047517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 26*h + 21 + 29*h + 33*h - 91*h - h**2. Let f be m(4). Let k(w) = w. Let r be k(-4). Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.399, 3, 2, -21 in ascending order.\nAnswer: -21, -0.399, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-12)\/32)\/((-3)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9489 + -9489.5. Which is the closest to 0.1?  (a) -5  (b) -15  (c) n  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 298 = -73*d, 1076*d - 1072*d + 34 = -3*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 506047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 65464 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 15 = 4*z. Let a be z\/(1\/11*3). Suppose -a = -t + 26. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1015316 and 1376.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 769 and -0.2?\nAnswer: -153.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1055, -1057, -1059, -1061, -1063?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17596 + -1763250.\nAnswer: -1745654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 2:47 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2. Let r(o) = 55*o - 2778366. Determine r(y(h)).\nAnswer: -55*h**2 - 2778366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*o - 9*o + 5*o**3 - 6*o + 22*o in the form s*o**2 + d + p*o + g*o**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 91699 or 1008680\/11?\nAnswer: 1008680\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10544099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u**2 + 2*u + 6. Let r = 16 - 20. Let w be p(r). Let f = -25 + w. What is the highest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265448755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 149 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1060 divided by -5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of 1\/20*p**6 + 0*p**3 - 11\/60*p**5 + 0*p + 1\/4*p**4 + 0 - 63*p**2 - 1\/210*p**7. Factor q(g).\nAnswer: -g*(g - 3)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9.704 - -0.196. Let y = n - 9.9. Which is the closest to y?  (a) 0.2  (b) -0.04  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2804213189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 53, 5, -14, -4 in descending order.\nAnswer: 53, 5, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50.71 + -3.49. Let a = -7.6 + -52.4. Let w = d - a. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 3*b + 10 = 0. Calculate the common denominator of 101\/20 and (2\/b)\/(60\/1225).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -942028.7*0.07.\nAnswer: -65942.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**2 + 162 - 5*b - 160 + b - 9*b - 3*b to the form k*b**2 + p + d*b and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57\/301 + -2\/43. Let q(g) = g**3 - 59*g**2 + 243*g - 1267. Let l be q(55). Which is the nearest to -3\/7?  (a) p  (b) -1\/7  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10833*i**2 - 1269*i + 1269*i + 36813*i**2.\nAnswer: 25980*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 208708713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29175 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l**3 - 20*l**2 - 219*l - 41. Determine p(-6).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 13*q + 39. Calculate x(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -571\/2 - -1444\/5. Calculate the common denominator of s and -59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7806072 and 20992.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 626 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 87661, 57, -4 in descending order.\nAnswer: 87661, 57, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 87206.9 decades?\nAnswer: 872069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*((-351802)\/(-12))\/(15\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -8*q**3 + 19*q**2 - 116*q + 222. What is m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, u: 3}. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.62 times 0.5?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/15 + 1496*y\/15 + 279752\/15.\nAnswer: 2*(y + 374)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (2 - 4) + 2. Suppose 2*v + 29 = 5*w, -w + 24 = -u*v + 3*w. Is 11 a factor of (-1)\/v + (-84)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3\/5, 2, 10, -0.09, 530\/3, 3, 2\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*a + 4, -3*a + 6 = -4*x. Suppose q + 4 - 6 = x. Suppose -3*s = -2*s + j - 201, -q*s + 4*j = -372. What is the greatest common factor of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(34)\/(sqrt(2) + (-5*1*sqrt(2) - sqrt(2))).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**4 + y**3 + 34*y**2 - 46*y - 26. Let v(m) = 2*m**4 + 36*m**2 - 45*m - 26. Let a(l) = -3*t(l) + 2*v(l). What is the second derivative of a(p) wrt p?\nAnswer: 12*p**2 - 18*p - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 3*g + 5. Let o be i(5). Calculate the highest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7770, -7720, -7638, -7524, -7378, -7200?\n\"Answer: 16*y**2 + 2*y - 7788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*u**2 + 2*u + 533*u**2 - 118*u**2 + 462*u**2.\nAnswer: 658*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 10. Let w be z(-10). Suppose -4*b + 2*q - 14 = w, 4*b - 3 = -3*q + 8. What are the prime factors of (b\/(-2))\/((-2)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/5 + 862*v\/5 - 172.\nAnswer: -2*(v - 430)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 2*p**2 + 2*p + 1. Let o be n(-3). Suppose -42 = -7*z + o*z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-2\/19))\/q**(-3\/8))\/(q*q**3*q\/(q**(3\/2)\/q)) assuming q is positive.\nAnswer: q**(-491\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/113690768 and -95\/96.\nAnswer: 682144608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -1 - (-1 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + -1)*-1 + 0)**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 22087 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7221 divided by 31207\nAnswer: 7221\/31207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*p - 3*y + 60, 2*p - 15407*y + 19 = -15402*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -67272 + -2?\nAnswer: -67274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 1.3  (c) -0.6  (d) 3\/7  (e) -1\/4  (f) -98  (g) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 5*h**2 + 1. Suppose -3*n - 4 = 2*g - 3, -3*n - 13 = -g. Let k(j) = j**3 - 4*j**2 + 1. Let s(q) = n*m(q) + 4*k(q). Determine s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2300*f*p + p - 1007 with respect to f.\nAnswer: -2300*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of -7*x**6\/120 - x**5\/60 - 79*x**4\/24 - x**3\/3 + 470*x**2. Find the second derivative of z(u) wrt u.\nAnswer: -42*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n - 21. Let z(k) = 13. Let u(j) = 4. Let c(f) = 14*u(f) - 4*z(f). Suppose 4*v - 3*o - 651 + 604 = 0, 4*v = o + 45. Determine v*c(x) + 2*b(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*a = -8 + 7, -5*u + 2*a = 7. Let b(v) = -233*v**3 + v**2 + 3*v + 1. List the prime factors of b(u).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4, -3*x - 9*l + 4*l = -71393. What are the prime factors of x?\nAnswer: 37, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2*j**2 + 42*j - 192. Let s(y) = y**2 + 20*y - 100. Let h(u) = 5*b(u) - 9*s(u). Give h(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 356 + 0?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 162*n = 167*n - 17, 4*m + 15 = -n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6664729 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30 - -8 - (-274 + 308)) + 0 + -89.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a - 4. Let v be k(-8). Find the second derivative of v*c - c - 2*c**2 - c**2 + 0*c wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4755\/2 and 0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88198992 divided by 24.\nAnswer: -3674958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 2:09 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + p + 16 = 0. Let g = -6 - p. Suppose -4 = -3*r + x, 3*x = 7*r - g*r - 8. Which is bigger: 5\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 1 - (1426 + -1515)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + -3 - (-10)\/2. Suppose -4*s - 2 = -18. Suppose s*f = 23 + w. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/950 and -47\/61180?\nAnswer: 305900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -151070 - -1057487\/7. Let v(f) = -2*f + 2. Let l be v(5). Let u be (3\/(-2))\/(18\/l). Which is the second biggest value?  (a) -5  (b) 2\/7  (c) u  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1715683 is divided by 671.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 2*w + 46 = 9*z, 3*z - 74 = 2*w. Suppose -5*r - 3*r + z = 0. Solve -2*j + 18 = 5*d - d, j + 11 = r*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2*-1)\/(((-15312)\/64)\/(-11))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - u - 16 = 0. Suppose 5*r + 14 = u*r. Is (-395)\/r*34 - (-4)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*f + 9*f, 0 = -3*j - 4*f + 3. Is (8 - 43\/j)*-3715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 30752*w**3\/3 - 28751632*w**2\/3 - 463754*w - 5610 = 0. Calculate w.\nAnswer: -3\/124, 935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 3261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/9 - 122\/(-3). Suppose 4*y - 3*z - s = 0, 0 = -3*y - z + 37 + 10. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 138520.8l to millilitres.\nAnswer: 138520800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1637, 0.3, -5, -0.1, 2\/97 in decreasing order.\nAnswer: 1637, 0.3, 2\/97, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 2*m**2\/5 - 12*m\/5 + 16\/5 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14587555?\nAnswer: 5, 2917511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 9*i**2 - 7*i + 1. Let r(d) = d**2 - d - 2*d**2 + 2*d**2. Suppose -35 - 25 = 10*k. Let v(w) = k*r(w) + j(w). Give v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2565979, 2565953, 2565927, 2565901, 2565875?\nAnswer: 2565849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15421236.\nAnswer: 2, 3, 19, 239, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Is 371990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -21, 5\/499 in increasing order.\nAnswer: -21, 5\/499, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 63417881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.4 - -4. Let p = 2646296.399953 - 2646290. Let f = h - p. What is f rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 681*d + 547*d - 150*d.\nAnswer: 1078*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10 + 10.4. Let s = 0.49 - -0.01. Put s, 3, k in increasing order.\nAnswer: k, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8173351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(3\/11))**(-9\/2)*l**15*l**(2\/15)*l assuming l is positive.\nAnswer: l**(1717\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 + -13. Calculate the remainder when 7 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488*h - 124*h = -12852 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 3*m, 2*m = -4*a + 5*a + 2. Suppose -m*g - 4*j = -242, 2*j + 475 = 4*g + j. Suppose -2*f + g = 9. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12\/2113 + -167119\/33808. Find the common denominator of l and -19\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4127.5 and 14.1?\nAnswer: 4113.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 17 = 2*n - 6*i, 2*n + 4*i = 44. Suppose 0 = 3*s + 4 - n. Let j be s\/14 + 27\/(-21). Is j bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from bsbbbssbsbb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - 49. Let k = q - -3. Which is the second smallest value?  (a) -5  (b) -4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*b - 240. Suppose b = -3*f + 6*f. Solve -t = 3*t + f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f + 30. Let q be a(22). What is the highest common divisor of q and 1232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/y**(-2\/5)*y\/y**(-10) assuming y is positive.\nAnswer: y**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n - 4*b - 12 = 0, -4*n - 2*b + 5071 = 2527 + 2528 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t - 34. Let n be j(18). Solve -5*z + 12 = -n*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (10\/(-4))\/((-2)\/4). Let f(b) be the first derivative of 0*b + 6 - 1\/3*b**3 + 5\/2*b**2. Calculate f(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 3:37 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -10. Let h(a) = -54 + 24 - 15*a + 7*a**2 + 26 + 20*a + a**3. Give h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-10)\/i*i**(-1\/13)\/i*i*i**(-12)\/(i\/(i**(1\/4)\/i)))**(1\/56))**(-4) assuming i is positive.\nAnswer: i**(1291\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 197232 divided by -49308?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + 7. Suppose -4*c - 9 = -a. Suppose 0 = 4*s + c*q - 353, 6*q + 139 = 2*s + q. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y = 39*y + 37*y - 3*y + 2684 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 0.05, -2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 10*b - 152. Let y be g(34). Let x = y + -166. Solve -5*v + 3 = 4*t + 9, 3*v - 4*t - x = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(6\/(-42)) + 1545\/(-225).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 17*k - 12. Let p be v(-16). What is the third derivative of -2*o**2 + 0*o**4 + 4*o**p + 2*o**4 wrt o?\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-5*(2 + ((sqrt(98) - 1*sqrt(98)) + -2)*-6)*-3)**2.\nAnswer: 396900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Is -53654470 <= -53654471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.41259404 rounded to three dps?\nAnswer: -21.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*v + 15*v = 1256542. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 4*n**3\/9 - 8954*n**2\/3 - 2548838*n\/3 + 3829972\/9 = 0.\nAnswer: -274, 1\/2, 6989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(121)*-1)\/sqrt(11).\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/4))\/y)**4*y**(2\/5)\/y**(-3\/4)*(y\/(y**3\/y))\/(y**2\/y)*y*y**2*y**(-1)*y*y assuming y is positive.\nAnswer: y**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.13 + -1.87. Which is the nearest to 1\/4?  (a) j  (b) -1\/9  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 3*l - 15 = 0, 3*s + 5*l - 34 = -13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 3) + (4 - 1) + -3 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2106\/235 or -8?\nAnswer: -2106\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -26 + 35. Solve 4*d - h*d + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 + -7 + -8 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 67, 273, 619, 1105, 1731, 2497, 3403?\n\"Answer: 70*k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15)\/27*(-9)\/(-30)*825\/(-220).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 9. Suppose 0 = -6*b + 5*b + 2. Let f be b + -2 - (-11 + (-2 - -3)). Determine m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 5 - (0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y + 8. Give i(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -i**3 + 572*i**2\/5 + 9447*i\/5 - 774 = 0?\nAnswer: -15, 2\/5, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 6, r: 4}. Give prob of sequence rrd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-8\/7)\/i)\/i**(-5)*i\/(i*i*i\/(i*i**(-6\/5))*i)*i**(2\/9)*i)**(-4\/37) assuming i is positive.\nAnswer: i**(-1108\/11655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of 2*l**3\/27 + 170*l**2\/9 - 38*l - 628. Find g, given that h(g) = 0.\nAnswer: -171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 4*q - 22 = 0, 2*j - 3*q - 1 = 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/9 + (-8)\/(-3). Suppose x - 23 - m = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -v**4 - 2*v**3 + 20350592*v**2 + 224630175.\nAnswer: -4*v**3 - 6*v**2 + 40701184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -43*j + 161. Let d be a(-10). Let q = 587 - d. Let l(s) = s + 2. Determine l(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 at least as big as 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17\/5 in -18\/7, 1, 4?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 986*p**2*u**6 + 5*p**2*u**2 + 168*p**2 + 6857*u**6 + 2708*u**2 wrt u.\nAnswer: 118320*p**2*u**3 + 822840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -37 + -22272?\nAnswer: -22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -8, 1, -5 in ascending order.\nAnswer: -8, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -20*c**5 + 152*c**4 + 64*c**3 - 2560*c**2 + 4096*c + 2048 = 0. Calculate c.\nAnswer: -4, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6325482, -6325468, -6325454?\nAnswer: -6325440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1113.83 - -1108. Let n = p + -0.17. Let k = n + 5.6. Which is the third smallest value?  (a) k  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 308 and 16.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f**2. Let o(v) = -15441 + 2*v - 3*v + 15425 + 2*v. Give z(o(l)).\nAnswer: 4*l**2 - 128*l + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 3*l. Suppose l = -a - 4 + 13. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/24*(-31)\/(-155)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3549)\/(-728) + (-1)\/(-8). Solve n*g + 20 = -a, 4*a = g - 4*g - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-4 - (0 + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 153.906559 rounded to 2 decimal places?\nAnswer: 153.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 212.91 - 212.81. Let r = -627\/5 - -126. What is the closest to t in 2, r, -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*u + 16 - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -886*u - 448267. Calculate v(-506).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96441 is divided by 24064.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from {d: 2, q: 3, f: 5, w: 1, i: 6}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 668.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -0*b + 125. Let w be (-4)\/(-10) - (-2335)\/b. Let l = w - -127. Calculate the highest common divisor of 51 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 5*r**2 + 41*r - 6. Let i(a) = -3*a**2 - 27*a + 4. Calculate -8*i(y) - 5*w(y).\nAnswer: -y**2 + 11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/5)\/(1*(-11)\/(-77)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 166, 176, 186?\n\"Answer: 10*p + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4\/9, -0.4, -2\/3.\nAnswer: -2\/3, -4\/9, -0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -5*q**2 - 15*q + 20. Let o(n) = 8*n**2 + 28*n - 41. Let i(u) = -5*a(u) - 3*o(u). Calculate i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10188013 is divided by 1088.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4800*s = 4804*s + 2*w + 38, 0 = 3*s + 3*w + 33 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -3*i. Let k be c(1). Let y = 9 + k. Suppose -5*o + 19 = 4*x, -3*o = y - 15. Solve -4*q = -m + 7, 0*m + x = 5*m - 3*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 403 - 374 - (3 - -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of h**7\/350 + 11*h**6\/100 - 49*h**5\/100 - 11*h**4\/20 + 24*h**3\/5 - 2361*h**2 + 2. Suppose b(t) = 0. What is t?\nAnswer: -24, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/18 or -1615.8?\nAnswer: -1615.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 6162*n**2 - 15*n - 8. Is b(-1) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 2 - 5 = -5*d, 2 = 3*d + 4*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24341 (base 10) to base 3.\nAnswer: 1020101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 117*p**3*w**2 + 8230943*p**3*w - 2*p**2*w**2 + 7*p*w**2 - 419*w**2 - 2 wrt w?\nAnswer: 234*p**3 - 4*p**2 + 14*p - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19631.\nAnswer: 67, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90414 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of 5\/6*j**3 - 6*j**2 - 1\/24*j**4 + 0 + 0*j. Let w be k(0). Solve v - w = -1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 10:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkpbsmz. Give prob of picking 1 b, 1 s, 1 p, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**3 + 5*n**2 + 17*n - 5. Let u(p) = 2*p**3 - 4*p**2 - 16*p + 4. Suppose 165*l + 76 + 749 = 0. Calculate l*u(d) - 4*s(d).\nAnswer: 2*d**3 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*s**3 - s - s + 8*s**3 wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/11 + 29671292*y\/11 - 110048196118658\/11.\nAnswer: -2*(y - 7417823)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1197609*d**2*o**3 - 8*d**2*o**2 + 1871*d**2*o + 14*d**2 + 19*d*o wrt o.\nAnswer: -7185654*d**2*o - 16*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7034.79 minus -2?\nAnswer: -7032.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(104)*3 - sqrt(104) - sqrt(104))*3)\/(sqrt(1296)\/sqrt(2)))**2.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.039, -1, -0.1, 6?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 3*a - 881 = 3*k, a + 439 = 4*k. What is the remainder when 110 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 9:49 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4117 or 2633?\nAnswer: 4117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1244243370 to the nearest one million.\nAnswer: -1244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*s**3 + 0*s**3 + 6)*(-6 + 4 + 1)*(-20*s**2 + 23*s**2 - 48*s**2).\nAnswer: -90*s**5 + 180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 2:25 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -35*u - 22. Let g be j(-2). Differentiate 0*w + 11*w**4 - 27 + 0*w + g*w**4 wrt w.\nAnswer: 236*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1229, -5, -24 in descending order.\nAnswer: 0.1229, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 30*q**2 + 65*q + 32. Let i be x(-32). Which is the third biggest value?  (a) -1\/3  (b) i  (c) -3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d + 2*d - d)*(3 - 2 - 2) - d + 2*d - 5*d + 0*d - 6*d + 4*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**3 + 5*y**3 + 2*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 14) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (30\/20)\/(3\/8). Suppose k*s + 60 = -0*s. Let i = 138 + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 10 - (4 + -5 + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - -10?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 6. Let o(i) = i**2 + 223. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - (2 - 5)) + -4 + 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from hhhhhhhhlhhhllhhhl?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*p - 34*p + 1128 - 268 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {f: 1, w: 1, k: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -2, -3, -4, -2\/9, -3025, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 38*c**2 + 9*c - 2. Let o(w) = -37*w**2 - 8*w + 1. Let i(v) = -5*o(v) - 4*s(v). Is i(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/13230 and -55\/54?\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 0*y + 0*y)*(3*y + 309 - 309) as o*y**2 + n + m*y and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1578 - 1577.7. Let z = -7.93 + 8. Let j = 0.57 - z. Which is the fourth smallest value?  (a) 2\/15  (b) f  (c) j  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*l = -15*l + 118. Let n(u) = 11*u + 15. Give n(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1981*h - 52705 + 15528 = 34674 + 1446 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-145)\/(-30))\/(-29)*(-3276)\/42.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7217, -7411, -7605?\n\"Answer: -194*d - 7023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 34446567 - -103?\nAnswer: 34446672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -19 + -11?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*r + 8*r + 43*r.\nAnswer: 98*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 107?  (a) -0.02  (b) -3  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k + 1. Let m be i(-4). Let h = -20 - m. Which is the third smallest value?  (a) 1  (b) -1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 40\/30 - 599\/(-3). Let q = -56 + y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-95)\/15)\/(2 - 111\/54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4350*x - 389270 = 977*x + 74*x + 409*x for x.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2, -15, -38, -71, -114?\n\"Answer: -5*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rl when two letters picked without replacement from mdrwkdl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 2*q - 6. What is the remainder when 135 is divided by p(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 539*b**4 - 5*b**3 + 312*b**2 + 869*b + 693 wrt b?\nAnswer: 6468*b**2 - 30*b + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 9 = 45, -m - 136980072 = 8*p. What is m rounded to the nearest 1000000?\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 - -232. Suppose -126 = -2*m + 2*k, -5*m - j = -10*m - 3*k. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 12, d: 2, c: 1, x: 3, u: 2}. What is prob of sequence lldx?\nAnswer: 11\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrerrrrrwwe. Give prob of picking 3 r.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 2*r + 9. Let h be t(5). Is (-1234)\/(-11) + (-8)\/h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -88 - -21. Let j = a - -112. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, n: 1, a: 1, b: 1, p: 2}. Give prob of picking 2 k and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - 52\/(-9) - 3. Let c be ((-6)\/8)\/(-5 - -2). Let g be (0 + 1)\/((-2)\/10). Sort g, z, c in descending order.\nAnswer: c, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = -q - 4*q - 5, -5*a + 2*q = -14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, x: 1, i: 1, q: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 5*f - 2045 = 4*f, -3*s + 2025 = -3*f. Let n = s - 1934. Let o = 1646 - n. What is o rounded to the nearest one hundred?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 2*j - 56487 = -616692, 4*k = 5*j + 448131. Let x = 201039 - k. Round x to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1308.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6904118?\nAnswer: 2, 13, 265543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*z + 29 + 15 + 61 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/38721  (b) -2  (c) 0.072\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1544 or -20088\/13?\nAnswer: -1544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16 - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 47069 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 8324359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence isr when three letters picked without replacement from rissrisrsuv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 176.3  (c) -40163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 1.87, -1\/4, -1423, -1\/3, 29, 4, -0.4?\nAnswer: -1423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1596821232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 780 = -2*h. Let p = h - 119. Suppose -5*b = -5*a - 95, 0*b + b + 5*a = p. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1091 + 218 - 201)*(-4*s + 4*s - s)*(3 - 1 - 1).\nAnswer: 1074*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6590\/(-1104) - (-4)\/(-6). Let n be 141\/(-253) + 20\/(-110). Let k = v + n. What is the common denominator of k and -43\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -212 = -5*d + 8. What is the lowest common multiple of 28 and d?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/60 and 2 - (15\/8 + 2\/(-8))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 13*x + 35. Let p(y) = -7*y - 17. Let b(u) = 11*p(u) + 6*z(u). Let n be b(-9). Let c(a) = -a + 18. Let t be c(n). Solve -3*l + 4 = -t*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 755*n - 1232. What is the thousands digit of k(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46287 times -8.8\nAnswer: 407325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2995520 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1295 to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*k + 1. Suppose k*t = 6*j - j + 28, -80 = -3*t - 2*j. Solve 0 = -l + p + 6, -l - p - 4*p = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c + f - 2490624 = 9*c, f = 4*c - 2490632. Is c 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 2904135398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -42.5 and 5.20443237677.\nAnswer: -37.29556762323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(102)\/(sqrt(18)\/sqrt(3)) - (sqrt(17) - 2*sqrt(17)*4))*-3.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, -8, 4692, -114 in descending order.\nAnswer: 4692, 4, 2, -8, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -30, -33, -36?\n\"Answer: -3*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {k: 3, y: 11, b: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -81*k - 1597. Calculate the remainder when q(-22) is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 4\/4000253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8019\/4 + 2020. Let v = -224 - -3575\/16. Let t = v - -1\/16. Find the common denominator of t and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 9*m - 326. Calculate w(37).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 151433260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 q when three letters picked without replacement from {n: 4, q: 1, t: 5, d: 5, l: 4}.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 912 = 1198*d - 1179*d. Calculate the lowest common multiple of d and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57640 - 0.5\nAnswer: -57640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 3*i - 5*w, -42 = -2*i + i - 2*w. Calculate the least common multiple of 21 and i - -1*3*6\/9.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 924394233 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 2. Let y(v) = v - 5. Let w be y(5). Let m be 44\/4 - (t + w). What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -124 + -20242151?\nAnswer: -20242315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b0 (base 12) in base 9?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1 + 2*(-3 + sqrt(11)) + 0 + -5 + (sqrt(704) - sqrt(11)) + -1)**2.\nAnswer: -306*sqrt(11) + 1180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14855933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 PM and 3:33 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-124 - 456 - 337)*(-1 + 1 + g**2)*(-1 - 4 + 4).\nAnswer: 917*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9637123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23532, -23401, -23268, -23133, -22996, -22857, -22716?\nAnswer: -22573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-17)*c)\/c)\/(c\/((c\/(c*c**(-4\/9)))\/c)) assuming c is positive.\nAnswer: c**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3725?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -21*h**3 - 9*h**2 - 9. Suppose 0 = s + z - 6, z - 2*z - 21 = -2*s. Let m(g) = 5*g**3 + 2*g**2 + 2. What is s*m(a) + 2*i(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d - 2 + 2)*(2 - 1 + 0)*(-6 + 6 - d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*w**2 + 2*w**2 + w**2)*(3 + 0 + 17*w**2 - 6*w**2).\nAnswer: 220*w**4 + 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 39*f**3 - 7*f**2 + 7*f - 7. Let s(r) = 19*r**3 - 3*r**2 + 3*r - 3. Give -6*o(z) + 14*s(z).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/13 in 3\/829, -6\/23, -1\/7, -1?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (6*(-1*sqrt(99) - sqrt(99)))\/sqrt(9).\nAnswer: -12*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 2) + 6 + -3. Suppose -3*q + 15 = 0, -3*q + 115 = 4*i - 0*q. Find the second derivative of 82 + i*z**h - 16*z - 41 - 41 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 616814705*j**3 + 182*j + 1421189?\nAnswer: 3700888230*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 84*59\/1888 - (-10)\/(-4). Let r be (-2 - -2) + 1\/3. What is the nearest to -44 in m, -4, r, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 0*b + 5*b + 2 + b - 9. Let j = -46 - -131. What is the remainder when j is divided by a(6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3 + 27 = 5*v, 0 = 2*g - 4*v - 32. Suppose g + 25 = 15*y. Factor y*o**2 + 3\/2*o + 3\/2*o**3 + 0.\nAnswer: 3*o*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 divided by -177.\nAnswer: 25\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 714157398 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -5, 1 in descending order.\nAnswer: 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(3*sqrt(360)).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1665 * 0.5408\nAnswer: -900.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k + 27. Let c be t(-12). Find the second derivative of -4*z**3 - 3*z - 13*z - c*z**3 wrt z.\nAnswer: -114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*t - 2. Suppose 0 = 5*s - 2*b + 41, 4*s + 5*b + 46 = -0*b. Let m be ((-4)\/12)\/(t\/s). Sort 4, -3, m.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-3)*50\/(4000\/120)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*l + n + 22, -16358*l + 16357*l - 12 = 5*n for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-3\/4)\/((b**(-17\/5)\/b)\/b) assuming b is positive.\nAnswer: b**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p**(-2\/31)))\/p*p**(-10))**(-3\/22) assuming p is positive.\nAnswer: p**(1017\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + (-13225)\/600 + 621373\/4344?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*w - 4*b + 4 = -82*w, -5*b + 17 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 349684451 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 412300 divided by -62\nAnswer: -6650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n + 2*n - 3*n - 9*n to the form j + d*n and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 + -1.247.\nAnswer: -1.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -2.5. Let k be (-1501)\/(-24) + 2*(-6)\/18. Let f = k - 62. What is the closest to -0.2 in f, -4, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3a98 (base 11) to base 3\nAnswer: 21021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198280.\nAnswer: 2, 5, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + s - 3)*(-3 + 0 + 1 - 1 + 2 + 0 + (1 - 1 + 1)*(4 - 2 - 4) + 69 - 2 - 1).\nAnswer: 63*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11*0.0321\nAnswer: 0.3531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-40)\/(-20))\/((-8)\/(-2)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4368 - -4324.39. Let n = x - -44. What is n rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of j**3\/3 + 14071. Let g(a) = -a - 11*a - 3 + 2. What is x(g(u))?\nAnswer: 144*u**2 + 24*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12.2304 + 1.5.\nAnswer: 13.7304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.035?  (a) 2  (b) -3  (c) 243  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -459 - -456. Put -2\/7, 23, -0.3, r in increasing order.\nAnswer: r, -0.3, -2\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 6*k - 4, -5*k = a - 208. Let f = a + -410. Let x = f - -286. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3844669.5 + 970816.5. Let i = 4815528.999926 - f. Let s = -43 + i. Round s to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-6)*(-4 - (-25)\/10). Suppose -6*q + 35 = c*n - 11*q, -3*q + 75 = 2*n. What is the least common multiple of 27 and n?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16504 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**2 - 8*b + 25. Let g be n(10). Let z = 61 - g. Suppose -l + 5*p - 9 = -70, 0 = -p - 3. Calculate the remainder when l is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5251.36, -4\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1973*n**2 + 996*n**2 + 986*n**2)*(5 - 3 + 3).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve q**5\/7 - 6*q**4\/7 - 12*q**3\/7 + 38*q**2\/7 - 3*q = 0 for q.\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 566428973 by 7169987.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 995 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aii when three letters picked without replacement from {a: 1, i: 5, v: 1, o: 2, n: 2, t: 2}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2858 + -3044?\nAnswer: -3040.7142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dinqiqdqqddiddlldi. What is prob of sequence liq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*h + 4*h + 54. Let b = 558 + -544. Calculate the smallest common multiple of h and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -7*f**4\/24 - 11*f**3\/2 + 34*f**2 - 14*f. Give y(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 17*w**2 - 43*w + 119. Give r(15).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*b - 2*j, -4*j + j - 9 = 0. Let 2*o + b*o**2 + 2*o**2 + 0*o**2 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -36 - -45. Calculate the least common multiple of 6 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 287*v + 94*v + 41952 = -171*v for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 2*b - 3. Suppose 2*j - 5*k = 2, 2*j = -2*j + k + 4. Let r be -3*(11 - 9)\/(j*-2). Determine u(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 d when four letters picked without replacement from wdddwdwdwdddw?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w**2 + 2*w**2 - 4*w**2 + (0*w - 3*w - w)*(w - w - w) + 0*w**2 - 4*w**2 + 2*w**2)*(-4 + 3*w + 4) - 4*w**3 - 5*w**2 + 5*w**2.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 401177 + 141?\nAnswer: 401340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(36\/(-40))*870\/(-42920)*16\/60?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 242 divided by -697.\nAnswer: -242\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 83.5 + -83.8. Is -27 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -5*c - 17, -2*c = -2*k - c + 13. Suppose f = 4*g - 10, k*f - 5*f = -2*g + 14. Suppose -6*x + 2*x = -40. Solve f*o - o = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (63 + 21 - 1)*(-22*i + 23*i + 6 - 4) in the form g*i + m and give m.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 - 11)*(-1)\/(-6)*-8. Suppose v*r + 723 = 2179. What is the remainder when r is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 - 4*t + 74. Let r be (3 + -1)\/4*(-11 - -11). Is a(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dcn when three letters picked without replacement from {c: 2, d: 1, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 6*y + 16. Give m(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**3*w**3 - 5*m**3*w - 682*m**2*w**2 + 139*m*w**3 wrt w?\nAnswer: -12*m**3 + 834*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-54)\/(3\/(-1)) + 0. Let x = 26 - q. Solve 5*a - 3 + x = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1379\/273 + (-136)\/2652. Put -3, g, 3, -69 in decreasing order.\nAnswer: g, 3, -3, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r**2 + 13*r**2 - 3*r**2 - 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 7*r**2 - 22*r - 65. Let x be w(-7). Calculate the greatest common factor of x and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 2 - (-15 - -20) - -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.086564 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f**2 + 5*f + 2. List the prime factors of p(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1147)\/(-7) + (-6)\/(-42).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22)\/(-472384)*3864*(-16)\/(-6) - (-30)\/(-55)\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 7:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2701641 divided by -13441\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49834367 to the power of 1\/2, to the nearest integer?\nAnswer: 7059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 104*g - 2695. Let f(r) = -24*r. Let d be f(2). Let o = 100 + d. What is the remainder when o is divided by q(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(1008)*2*1*-2*-3)**2.\nAnswer: 2322432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8609005 is divided by 187152?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43811 greater than 43814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 19209771 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-50))\/((81\/(-18))\/(-9))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of p**3\/3 + p**2\/2 - 3*p + 1. Give z(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121 - 5 = 4*d. Suppose y = -0*y + d. Let x = y - 16. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2539 and 2.\nAnswer: 5078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -24) + (63 - -54).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 13*v**2 + 11*v - 7. Let q be b(-12). Let y = 3 - q. Let g(s) = -103*s - 1. Is g(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 538127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-4\/7)*x)\/(x**5\/x))\/(x**(-3\/8)\/x**(-5)) assuming x is positive.\nAnswer: x**(-459\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v + 3*v - 2*v + 3*v. Let o(p) be the second derivative of 0*p**3 - 20*p + 0 + 11\/6*p**4 + 0*p**2. Determine h(o(k)).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00165468 rounded to five dps?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k**2 + 20716*k - 5920 = 0 for k.\nAnswer: -1480, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13914749 or 13914748?\nAnswer: 13914748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 16*n + 6. Let w be r(17). Let l = w + 34\/3. What is the second biggest value in 5, -5\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)*-1)\/(sqrt(40)\/(sqrt(4)*-1)))**2 + -5.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 10*p - 11. Let b(y) = y - 1. Let k(r) = r - 1. Let x(d) = 2*b(d) - k(d). Let h(g) = g**3 + 3*g**2 - 3*g + 6. Let z be h(-4). Give z*c(q) - 22*x(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 494746.1m to millimeters.\nAnswer: 494746100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 806765 and 608640?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2509232 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 404 a factor of 365216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443126250?\nAnswer: 2, 3, 5, 7, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 19 - (-25 + 27) - (21 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1636114, 1636113, 1636112, 1636111, 1636110, 1636109?\n\"Answer: -r + 1636115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2.3*-0.5\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -9. Let t be 2\/v - (-7)\/(-28). Let d = 215 + t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3*d = 34, g - 4*d = -3*g + 20. Suppose 3*o = 2*o + g. Suppose -2*t - 2*b + 14 = 0, 2*t - b + 2 = 19. Solve o = -3*s - t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 2, h: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*q - 278 - 1775 = -28*q + 287 for q.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*(-14)\/21)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -49*l**6\/120 + 7*l**5\/10 - l**4\/2 - 4*l**3\/3 - 5. Let c(k) be the third derivative of q(k). Factor c(s).\nAnswer: -3*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 365327 is divided by 387.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 108 + -4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/3))**29*j**(-8)*(j**(-6\/5)\/j*j)\/j assuming j is positive.\nAnswer: j**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 307 and 59306567.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2699 - 2697. What is the third biggest value in 2\/3, -4, 12, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/2700 and -13\/29430?\nAnswer: 294300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-78)\/(-4) - (-33)\/(-22). Let j = -16 + a. Suppose -2*z - j = -3*m, 0 = -2*m + 3*z - 2 - 5. Solve 25 = -5*f, m*p - f = f + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*w + 2*w - 112, -12 = -l - 5*w. What is the lowest common multiple of l and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -761460*-0.2.\nAnswer: 152292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001396568 rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 7*y + 3. Let o(s) = 2*s - 2*s + 0*s + s. Let i be 2\/(-3)*(-3)\/2. Determine i*b(a) - 5*o(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17721*y**2 - 129*y + 21*y + 108*y.\nAnswer: 17721*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1124 and 43236?\nAnswer: 12149316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -26. Find the common denominator of 178\/m - (1 + -4) and -121\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-66)\/(-11385)*5.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 132 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -b**4\/3 + 74*b**3\/3 + 328*b**2 + 996*b. Factor q(i).\nAnswer: -4*(i - 41)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8635*c + 340383 = -12736*c for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37211, 5, -23042 in increasing order.\nAnswer: -37211, -23042, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1715 + 5204\/3. What is the common denominator of 6\/21 - 989\/(-1449) and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67395\/764 + 7\/191. Let t = i + -89. What is the smallest value in t, -5, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.04 - 7.04. Let y = d - 11. Let s = y - -17.6. Which is the nearest to 0.1?  (a) s  (b) 5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1627227 - -88.2167.\nAnswer: -1627138.7833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2537, -4516, -6485, -8444?\n\"Answer: 5*y**2 - 1994*y - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 2, 22, -0.1, -10?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -127 and -0.07672?\nAnswer: 9.74344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 49 and 2359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from {e: 6, j: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118*h**5\/9 - 7344*h**4 + 6386*h**3 + 141404*h**2\/9 + 5984*h\/3 = 0. Calculate h.\nAnswer: -561, -1, -8\/59, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (0 + 4 + -8 - -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -40869 divided by -1\nAnswer: 40869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 86554 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 792 is divided by 280.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**3 - 61*x**2 - 327*x - 513. Calculate w(-15).\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/((-1)\/(-2)))\/(10*45\/(-75)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -915 + 1221. Solve -28 = -i*d + 299*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + 4. Suppose 4*v - b = -0. Suppose 34 = 5*k - 16. Solve 0*h + 10 = 2*g + 2*h, v*g - k = -5*h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*z + 2*z**2 - 27*z)*(z + 0*z - 2*z - z - 13*z - 3*z + (2 + 2 - 2)*(2*z + 0*z - z) + 2*z - z + z).\nAnswer: -28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2835 and 702?\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0766792 and -1.\nAnswer: -0.0766792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-110)\/6)\/((-10)\/(-30)). Let y(i) = 99*i**3 + 55*i**2 - 55*i + 55. Let q(p) = -11*p**3 - 6*p**2 + 6*p - 6. What is o*q(n) - 6*y(n)?\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-14))\/1*(-12)\/28*49.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -397*l**6 + 3*l**5 - 97*l**3 + 63*l**2 - 601.\nAnswer: -47640*l**3 + 180*l**2 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 8:32 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 248604401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (((sqrt(33) - 1*sqrt(33) - sqrt(33))*5)\/sqrt(3) - -3*(-1*sqrt(11) + -3))*3*-5)**2.\nAnswer: 32640*sqrt(11) + 176896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35581, 35596, 35609, 35620, 35629, 35636?\nAnswer: 35641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32407 - -3841. Suppose -30*l = -53*l + t. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*q**3 + 0*q**3 - q**3)*((-2 + 2 + 2)*(2 + 1 - 4) - 23 - 120 + 14).\nAnswer: -524*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 82*j + 273. Is l(-3) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*o**3 + 1 - 5*o**3 + 19*o**2 - 19*o**2.\nAnswer: -12*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 13 = -123. What is the first derivative of -214*l + 17 + d - 45 wrt l?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -155, -4, -2, -7 in decreasing order.\nAnswer: -2, -4, -7, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36403\/6 - -6091. Find the common denominator of j and ((-9)\/18)\/((-8)\/34).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -15. Suppose 0 = u*o - 474 + 59. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -100 + 130. Calculate the greatest common divisor of w and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*b + 3*i + 17, 4*b - i = -0*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 44 + -39. Let l(b) = -2*b + 20. Let k be l(r). Calculate the greatest common divisor of k and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23044, 92660, 208840, 371584, 580892, 836764?\nAnswer: 1139200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 13*y**2 + 15*y - 2. Let u be z(11). Let t = 116 + u. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-558288\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 + w + 1. Let m be n(3). Let i = 57114549\/224 - 254975. Let t = -3\/32 + i. Which is the closest to -0.1?  (a) 2\/7  (b) t  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2819615, 2819575, 2819523, 2819453, 2819359, 2819235, 2819075?\nAnswer: 2818873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4258404*v - 4258565*v - 644 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v = 3*o - 10, 12*v - 15 = 9*v + 5*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 5) + -33 - -2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30933667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -18753230898.3 take away -2.79?\nAnswer: -18753230895.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*u + 12 - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 6978160.\nAnswer: -27912640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21928 is divided by 1524?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -l - 7 - 5, -2*b + 5*l + 8 = 0. Let n = b + 1. Let h(j) = 0*j**2 - 7*j**2 - 2*j - 3 + 2*j**2 + n*j + j**3. Give h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n**2 + 36*n + 4. Let p be d(-12). Find the third derivative of -k**3 + 28*k**2 - 27*k**2 + 3*k**3 - 58 - 68*k**p wrt k.\nAnswer: -1632*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.11 - 0.19. Let y = u - -0.38. Which is the closest to 2\/11?  (a) y  (b) -0.1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 + 8*s - 2. Let j be i(-7). Suppose j = 2*o - 7*o. Let n be o*((-2)\/4 - 0). Solve h - n*u = -3*h, 0 = 4*h + 3*u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*h - 9 = -3, -3*h = -2*t + 4. Let s be 4 + t*1\/(-2). Suppose -s*d - 3 = 9, d = -4*n + 72. Is n 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 2897846 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.37  (b) 357301  (c) 0.3  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1*sqrt(32))**2*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**3 - 5*j**2 - 3*j + 7. Let q be c(6). Suppose -q - 23 = -6*h. Let f(i) = i**3 + 6*i**2 + 3*i - 3. What is the least common multiple of h and f(-5)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 20. Is f less than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 1630\/(3\/6*4\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9*n**2 + 3*n + 6. Let z(h) = 8*h**2 + 3*h + 5. Let l(x) = -5*m(x) + 6*z(x). Factor l(a).\nAnswer: 3*a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1663324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6826*a**4 - 5012*a**2 + 15*a**3 - 5458*a**2 - 2501*a**2 - 15*a**3 wrt a?\nAnswer: -163824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymh when three letters picked without replacement from ygmhmhhmhhhghhgmhh.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 4*o + 4, 11 = 4*o - 4*u - 9. Factor -2*a**4 - 3*a**3 - 8*a**5 + 9*a**5 + 4*a - 184*a**2 + 188*a**o.\nAnswer: a*(a - 2)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253794 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 203211?\nAnswer: -203221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 0*m + 0 - m - 1. Let c(i) = -4*i - 3. Suppose 7*n + 17*n = -48. Give n*c(h) + 6*q(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -932 + 979. Which is bigger: 49 or a?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4589 < 4646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16\/(-6)*(-45)\/12. Let y = 9 - q. Which is the biggest value?  (a) y  (b) 3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -59*q - 298. Determine b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -2 + 12 + -18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -2*u**5 + 461*u**4\/6 - 181*u**3\/3 - 1672*u**2 + 705*u + 17649\/2 = 0?\nAnswer: -3, 3, 53\/12, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12113113 + -213?\nAnswer: -12113332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + g + 8. Suppose -7*x = -2*x. Calculate the remainder when 312\/22 - (-12)\/(-66) is divided by b(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 8*b**2 - 6*b - 1. Let j(x) = 7*x**2 - 5*x - 1. Let n = 3 + -1. Suppose -z + 3*c + 0 + 6 = 0, -2*c = n*z + 20. Give z*j(w) + 5*u(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.876 + -0.324. Let m = -53 - -57.2. Let w = m + t. Sort 0.3, 5\/4, w in ascending order.\nAnswer: 0.3, 5\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17*o**3 + 515*o**2 + 34213*o?\nAnswer: -102*o + 1030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2104*n - 4312. What is m(2)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (440\/(-550))\/(2\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, -0.6, -1, -6, 0.31, 3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o + 17. Let q be a(-7). Suppose -q*h + 33 - 12 = 0. Calculate the lowest common multiple of 4 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -829 = 3*l + 4*t + 581, -l - 5*t = 470. Which is greater: -469 or l?\nAnswer: -469","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 2*c - 66. Suppose -u - 3*d + c = 0, u + 0*d = d + 86. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 57*t**2 + 390*t - 38. Give j(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6540157\/17 + -384715. Let z = 16.989 - 17. Which is the closest to z?  (a) o  (b) 3  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -7*l**3 - 4*l**2 - 3*l + 2. Calculate y(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*y**2 - 96*y + 586 wrt y?\nAnswer: 32*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 66874636?\nAnswer: 468122452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 737 = -1045. Is b at least 163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 20\/151699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -737486 + 737485.569971. Let b = 0.43 + j. What is b rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 144.6.\nAnswer: -144.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3511 is divided by 1122?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.27903504 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 260*l + 2*l**2 + 4 + 493*l + 0 - 5.\nAnswer: 2*l**2 + 753*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 84*a**2 + 3*a - 1. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*r - 2*z, -5*z + 8 = 5*r + 43. Let d be 6595421\/770 - r\/(-11). Let s = d - 8558. Calculate the common denominator of 3\/7 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 289654215*f**3 + 2565696*f**2 - f + 9 wrt f.\nAnswer: 1737925290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.162?  (a) -24  (b) 2  (c) -345  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 7*p - 2. Let k be ((-26)\/(-6))\/((-7)\/21). Let i be (1 + (-4)\/(-6))\/(k\/39). What is m(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -34, -0.1, 33, -1, -13?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302832 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -56*k**3 - 61*k**3 + 180*k**3 - 61*k**3 + 1271*k as o*k + q*k**3 + h*k**2 + i and give o.\nAnswer: 1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*1\/(-1)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, -1, -57, -6, -145 in increasing order.\nAnswer: -145, -57, -6, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 108 + (4 - 0)\/1. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + 8)\/3 - (2 + (7 - 10)). Solve l - t*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1346 + 1704 = -291*a - 2479 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-4*(-3)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(5\/8)\/((z**17*z)\/z))\/((z\/z**(1\/6))\/z)**(-42) assuming z is positive.\nAnswer: z**(-187\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -25*i - 1. Give w(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 39*k - 44*k = 25 + 88, -2*c + 5*k = -133 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - 4) + 0 + 4. Suppose -j - c = 1. What is the units digit of ((-4)\/j)\/((-8)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b + 1. Let h(t) = 7*t - 2. Let j be (-2 + -1 - -1)*2. Let f(v) = j*s(v) - h(v). What is f(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 + 16*a + 20. Let t be s(-15). Suppose 0 = -n + 4*d - 11, 2*d = -0*n - t*n + 11. Suppose 6*v - 1 - 17 = 0. Sort 0, n, v, -4 in descending order.\nAnswer: v, n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = 5*o + 2*b, -16*b + 6 = 3*o - 19*b for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001001177 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -67) + (24 - (17 + 44 + -20)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1586*u + 1586*u - 165*u**2 + 2 - 2.\nAnswer: -165*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 x, 1 e, and 1 i when four letters picked without replacement from ggeeeqiegdegxgxe.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of i**5\/20 + i**4\/6 - 17*i**3\/6 - 4*i**2 - 37*i. Let h be k(-4). What is the greatest common divisor of h and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 253 = 245. Suppose -5*b = 13 - 3, 5*c = 3*b + 26. Sort c, r, 5 in descending order.\nAnswer: 5, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p\/(p*p**(-23))))\/(p**10\/p))**10)**3 assuming p is positive.\nAnswer: p**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3 + 11) + (8585\/180)\/(-101).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 12*b - 4. Let s be m(12). Let j be ((-2)\/s)\/((-7 + 5)\/(-4)). Let x be 0 + 0 + (-2)\/(-2). Calculate the greatest common factor of x and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -4\/7, 45, -8, -2\/3, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1640018 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/21728 and -151\/130368?\nAnswer: 130368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 514*l - 42302 = 560*l + 1581*l for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6329?\nAnswer: 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -2)*(28 + 4 + 0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 2*y = 6. Suppose -y*j + 2 = -j. Let a(u) = -6*u**2 + 5*u + 7. Let v(z) = z**2 + z + 1. Let p(o) = -a(o) + 6*v(o). Calculate p(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 32*k - 624 = 0. Suppose -71 = -23*r + k*r + s, -275 = 4*r + s. Is 0 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366041 is divided by 115.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239 at least as big as 1239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - 6 - 22\/(-5)*(-695)\/(-278) - 1. Find q, given that -2*q**4 + 21\/4*q - 5\/2*q**2 + 9\/2 - 1\/4*q**5 - 5*q**n = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 531 is divided by 140.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 563219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 5:11 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 199273 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1313 and 808?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4*y + 10 = 2*o, 25 = 5*o - 4*y. Let p be o*((-44)\/(-10) + -4). Are p and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -b**5\/60 - 5*b**4\/24 - b**3\/6 - 2*b**2. Suppose -8 = 6*v - 8*v. Suppose 0 = v*n + 3*f + 11, 4*n + 5 + 2 = f. Calculate m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.24, 13, -3\/7.\nAnswer: -3\/7, 0.24, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 4*c + 4, -2*b - 3 = 5*c + 2. Suppose 3*r + r - 28 = b. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15 - 2*s**2 + 2*s**3 - 15 - s**3 - 4 + 4 + (2 + 2 - 5)*(-4*s**3 + s**3 + s**3) - 2 + 2 + 2*s**3.\nAnswer: 5*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -3*a**2 + 10*a + 4. Let v be w(5). Let h = v + 23. Solve 3*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.27002mg in grams?\nAnswer: 0.09627002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-122)\/48251*-113 - 139\/21.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -z + 45. Calculate the remainder when 21 + -1 + z\/(-3) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68296410 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f + 2. Let b be q(6). Suppose 2*n + 4 = -0*n. Put 3, b, n in decreasing order.\nAnswer: 3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 + 14*y + 5. Let l(n) = 5*n**2 + 21*n + 8. Let j(a) = -8*c(a) + 5*l(a). Let x be j(6). Let u = 19 - x. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 25 = -2*l. What is the third derivative of -7*o**5 - 4*o**l - 5*o**2 + 3*o**2 wrt o?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qtppqcpcfqq. Give prob of sequence ppq.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 4 + 17)*(-1 - 2 + 0)*(2*u - 5*u + u)*(0 - 3 + 5) in the form p + c*u and give c.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m**2 + 29*m + 15. Let k(a) = -a**2 + 19*a + 10. Calculate -8*k(r) + 5*t(r).\nAnswer: -2*r**2 - 7*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + (17 + 1 + (-172 - -170) - -6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (12 + -6 - 15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 418\/(-54) - (4592\/(-2214))\/28.\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-478)\/(-15) + (-34)\/(-255). Suppose -4*c + u = -0*c. Solve -5*a + a - c = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 11843.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 174, -98 in descending order.\nAnswer: 174, 2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.07516 to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 49675586 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 29*l**2*q + 6*l**2*w + 272*l**2 + 2*l*q + 2*l - 1445*q*w - 5*q wrt w?\nAnswer: 6*l**2 - 1445*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 11:14 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3970 - -3991. What is the remainder when 34 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 183327815?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 61523 in 4, -5, 3.9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1304957450 rounded to the nearest 100000?\nAnswer: -1305000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 5*z**2 + 2*z. Let f(g) be the second derivative of -3*g**4\/4 - 5*g**3\/6 + 432*g. What is -3*f(y) - 5*s(y)?\nAnswer: 2*y**2 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a + 10*a - 29*a + 230 = 0 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18202731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 553 - 778. Let a = -153 - x. Let q = 125 - a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 - -20. What is the least common multiple of i and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 412 and 1030.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8078951898 rounded to two decimal places?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 100, 96, 78, 40, -24, -120?\n\"Answer: -u**3 - u**2 + 6*u + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.1213 and -29.\nAnswer: -32.5177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/2)\/(7\/(1400\/(-4))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (-8 + (22 - 22) - (-10 - -3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of b**3\/6 - 7*b**2\/2 + 89*b - 9. Let n(j) = j**2 + 4*j - 6. Let l be n(-6). Let y(f) = f. Let k be y(l). Give d(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 592242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q**2 + 46*q + 5*q**2 + 6*q**2.\nAnswer: 15*q**2 + 46*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 8*u - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 - ((-1 - 1) + -24 + 20 - -13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 552*f**2 + 7731*f + 42 = 0. What is f?\nAnswer: -14, -1\/184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 + 18*j + 14*j to the form g*j + l and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 + 223542?\nAnswer: 223521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22313*l + 6 - 80064*l - 159971*l - 186488*l.\nAnswer: -404210*l + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52534 is divided by 199?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.416423 nanograms to grams.\nAnswer: 0.000000002416423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2. Suppose 2*w + 2*w = 36. Let o be (16\/(-28))\/(8\/(-28)). Let q(v) = o - w*v - 6 + 4. What is c(q(a))?\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2\/367 - -720\/2569. Let w = -4\/11 - -6\/77. Which is the smallest value?  (a) -1  (b) h  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 12 - 16 - 137*l**3.\nAnswer: -137*l**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 - 754*s**3 - 1589*s**3 - 2*s + 3381*s**3 + s**2.\nAnswer: 1038*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 0.245147962058.\nAnswer: 0.145147962058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -89599, -89600, -89601, -89602?\n\"Answer: -v - 89598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -528f (base 16) to base 2.\nAnswer: -101001010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13463*c + 2172*c - 3794*c - 11745*c to p + b*c and give b.\nAnswer: -26830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 4*v = -14 - 402, 0 = 5*a + 5*v - 480. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - w + 24 = 37, -4*w = 2*u - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 14*k = 13*k - 110 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and -21686135?\nAnswer: 260233620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 5207*b**2. Let o(h) = 445*h**2. What is a(o(l))?\nAnswer: 1031116175*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6191 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s + 10. Let r be h(-7). Suppose r*m - 20 = -2*p, m - 5*m = 8. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2456 - 9819\/4. Factor 0 + 5\/2*m - q*m**2.\nAnswer: -5*m*(m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 2*o - 8, o + 12*f - 10 = 9*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (65 + (-27417)\/429)*-2*(-11)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 8, d: 2, x: 5}. What is prob of picking 3 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -9*n**3 - 3*n - 3. Let s be f(-2). Is (1 - -1)\/(6\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 9 = -5. What are the prime factors of (5 + -2)\/(r\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14279 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = 2*l + 3*t - 11, -17 = -5*l - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36005?\nAnswer: 5, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/80*-24)\/(189\/5180)*3. Factor k*c + 1\/3*c**2 + 5476\/3.\nAnswer: (c + 74)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-5) - 6\/9. Let i be (1\/(-4))\/(-1*(5040\/(-256))\/(-21)). Find c such that -i*c - j - 2\/15*c**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -5\/837, -6, 2\/181 in decreasing order.\nAnswer: 2\/181, -5\/837, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 3*l - 105 = 0, -1876 = -y + 6*l - 1951 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5*o**3 + 4*o**2 - 13*o - 2. Is 13 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 2 = -y + 23, c - 5*y + 1 = 0. Suppose -c*t + 13 = 1. Suppose 0 = 3*i - 2*u - 14, -u = i - 0*u - 8. What is the remainder when i is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 + 34 + (403\/(-7) - 45\/1050*10).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from tooo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**4\/2 + 50*r**3\/3 - 26*r**2 - 1197. Determine s so that c(s) = 0.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 24*h**5 + 64*h**4 + 26*h**3 + 14. Let q(b) = 5*b**5 + 13*b**4 + 5*b**3 + 3. Let o(d) = -3*l(d) + 14*q(d). What is g in o(g) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -1150?\nAnswer: -1150.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 21*p - 557494 = -76294. What is p rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(70\/6)\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.07948  (b) 2\/3  (c) -12  (d) -4  (e) -0.06  (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 3\/2  (b) 0.1  (c) 5  (d) -22  (e) -0.06  (f) -1610  (g) 9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 26*v - 25*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 832\/(-1092)*(-188)\/1504?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6334 = 3*s + 5*j, 0 = -28*s + 26*s - 3*j + 4221. What are the prime factors of s?\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.322 and 7?\nAnswer: -2.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 10 - 7*d + 6*d + (-1 + 2 + 0)*(0*d + d - 3*d) as s + f*d and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 15) to base 5.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 21*d**2 - 1. Let p = 21 - 25. Let z = p - -3. Let b be g(z). What is the highest common factor of 140 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 74230, 74231, 74232, 74233?\n\"Answer: g + 74229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from feeewueenbe. What is prob of picking 3 e and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-27))\/((-20)\/60)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 45 = -785. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2. Suppose -5*c + 78 = 3*r, 51 = 3*r - r + 3*c. Suppose 1 = -5*x + r. Let l(n) = -n + x*n + 0*n. Determine l(t(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6159031253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z**3 + 16*z**2 - 16*z + 166. Let g(d) = -d**3 + 4*d**2 - 3*d + 33. Let i(x) = -28*g(x) + 6*p(x). Factor i(a).\nAnswer: 4*(a - 3)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/3)\/s)**(-25) assuming s is positive.\nAnswer: s**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qxxq when four letters picked without replacement from {q: 2, x: 6, n: 2, z: 2}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*p - 9*p + n = -17, 0*p + n = -40*p - 165 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 13) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1084, 1987, 2900, 3829, 4780, 5759?\nAnswer: 6772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 + 4. Suppose 0 = -w*t + t - 3. Suppose -5*x + 2 + t = 0. What is the lowest common multiple of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1958 by 22.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (80\/(-25) - -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -103*a*t*u**2 - a*t + t*u**3 - t*u - 14*t + 1 with respect to u.\nAnswer: -206*a*t*u + 3*t*u**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10a834 (base 12) in base 14?\nAnswer: -6d5b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 190346, 190299, 190252?\nAnswer: 190205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 11745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 (base 10) in base 16?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 10  (b) 0.05  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 425, 0.4, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -2*g**3 - 15134102*g**2 + 30268210*g - 15134106 = 0.\nAnswer: -7567053, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 3:25 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.81 + -0.8. Let s = 0.06 + -0.36. Let b = -5.3 - -4.3. Put b, s, j in descending order.\nAnswer: j, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -311, -2, 1, 5?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -96 - -89. Suppose 20*c + 48 = -92. Is c less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/28)\/(9\/(-6) - -1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/75)\/(1\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 3550 = -4*q + 1315, -2253 = -3*z - 2*q. List the prime factors of z.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1215 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + -3*(-9304)\/(-12). Let r(o) = 208*o**2 + 3*o - 1. Let m be r(2). Let f = m + x. Round f to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 4*z**2 - 7*z - 4*z**3 + 4 - 7*z**4 + 4*z**5 - z**4 + 2*z**5 - 7*z**5. Let k(u) = u**4 + u**3 + u - 1. Let b(j) = c(j) + 6*k(j). Solve b(y) = 0 for y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (570\/2375)\/(6\/15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 64401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 341905381?\nAnswer: 341905381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/(-10))\/((-4)\/(-20)). Let l = -4 + t. Let s be (20\/25)\/(l\/(-10)). Solve 2*f + 3*u = f + 15, 2*u = s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3\/2))**16*l**(-6)*l*l*l\/l**11 assuming l is positive.\nAnswer: l**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44184 = -3*j - 2*l - 9017, -5*j = 3*l - 58612. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140 - 155.7. Let z = f + 37.5. Let j = 22 - z. Which is the closest to -2?  (a) j  (b) -3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -339*a = -5470 - 293 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16382 - 35462. Round p to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 24\/131 and 23\/180.\nAnswer: 23580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, p: 2, v: 1, o: 2, q: 2, y: 4}. What is prob of sequence op?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3916772?\nAnswer: 2, 223, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*c**3 + 4*c**2 - 19*c**3 - 4*c**2 + 2 with respect to c.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27784 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.1, 2\/43, -14, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, t: 1, g: 2, s: 2, x: 1}. What is prob of sequence ys?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of 9*k**2\/2 - 1. Let w be r(1). Suppose 0 = -3*l + 2*l + 9. Calculate the greatest common factor of l and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**2 + 33*o**3 + 5 - 4*o - 34*o**3 + 11*o**2 - 6*o**2 - 3*o. Give f(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44618)\/(-4796435)*(-10)\/8?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1086 + -1056. Calculate the remainder when 143 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m = 7*m + 3*d + 996, 0 = 2*m + 4*d - 414. Let g(q) = 196*q + m*q - 392*q - 14. What is the units digit of g(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90439*u - 56 - 180895*u - 7584*u**2 + 90445*u wrt u.\nAnswer: -15168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, -0.3, -0.202, -4 in increasing order.\nAnswer: -4, -0.3, -0.202, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - -325592.\nAnswer: 325594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 209725239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 242, 100, 21\/10?\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -18981070, 2\/5, -3, -1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 11*m**2 + 11*m + 9. Let u be p(12). What is the units digit of (u - 27)*(-8)\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b\/(b\/(b\/((b*b**(-8\/5))\/b))))*b\/b**(2\/15)*b**(2\/9)*b**(-6)*b)\/((b\/(b*b**(-2\/13)))\/b**1)**3 assuming b is positive.\nAnswer: b**(-1739\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {h: 12, c: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1720 = -47*h + 54*h - 50*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 749704.9 decades to years.\nAnswer: 7497049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttststtssssttst. Give prob of picking 3 s.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v. Let t(n) = -7*n. Let m be 2 - 2*(-4)\/4. Let f(q) = -36*q. Let z(c) = m*f(c) - 22*t(c). What is g(z(o))?\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 86 + -132. Suppose -10*m = -6*m + 12, 5*a = 2*m - 199. Let u = a - x. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99, 292, 483, 678, 883?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-112)\/21)\/8)\/(4\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 422977 is divided by 358.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8086041 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -164, 1, -5, -4, 6, -400 in ascending order.\nAnswer: -400, -164, -5, -4, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/((-44)\/(-33)*10\/(-200)*-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -54, 5 in descending order.\nAnswer: 5, 3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 117675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 43.6 in 0.4, 22, -6\/7, -7?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16 - -11) + 13 - 12) + 11 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 22 = 4*o, -2*u - 9*o + 10*o = -8. Let m(w) be the third derivative of 0*w + 1\/6*w**3 + 1\/12*w**5 + 1\/12*w**4 - 10*w**u + 0. Determine m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 - 2*w. Let y be 150\/(-14) - 2\/7. Let t(v) be the first derivative of 2*v**3 - 11*v**2\/2 + 465. What is y*z(j) + 2*t(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 AM and 2:09 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {h: 1, l: 2, u: 5, c: 8, j: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y - 3 + y + 0*y - y**2. Let v be t(2). Suppose v*p - 4*p + 5 = 0. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, 119, 242, 401, 590, 803, 1034?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {n: 3, w: 1, o: 1, h: 3, l: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = d - 398*i + 401*i, 2*i = 14*d + 68 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16530 and 166600360.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -84 - -441. Suppose 2*f - 50 = 3*r + 169, -3*f - 5*r = -b. Suppose 4*h + 22 - 250 = -3*i, -5*i = -2*h + f. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3*i**2 + 20*i - 20. Let l(d) = d**2 - 7*d + 7. Let h(m) = 6*b(m) + 17*l(m). Let g(y) = 10157 - 2*y - y**2 - 5078 - 5077. Determine g(k) + 2*h(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -11.9. Let t = 0.15 - 0.05. Which is the closest to t?  (a) h  (b) -1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1036)\/(-31080))\/((-55)\/(-10) - 6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2329\/5 + -464. Factor w*d + 0*d**2 - 3\/5*d**3 - 6\/5.\nAnswer: -3*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 16*f**2 - 14*f - 198. Let g be q(-16). Suppose 278 + 112 = 5*k. Calculate the highest common divisor of k and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6792*d**3 - 132*d + 108*d + 18 - 40 - 23 + 27*d + d**2 wrt d?\nAnswer: 40752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1851 = -9*z + 1743 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from eeueveeeeee?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4974228\/215 - 23136. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.58964641 rounded to 4 dps?\nAnswer: 0.5896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88\/(-484)*(-2)\/14*1.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1184, -1183, -1182?\n\"Answer: j - 1185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 315882.\nAnswer: 2, 3, 7, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -18028 divided by 4?\nAnswer: -4507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -414 - -787. Factor -180*b**2 - 139*b**3 + t*b**3 + 20*b + 171*b**3.\nAnswer: 5*b*(9*b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 3*q + 12. Let x be w(-6). Let r be -4 + 18\/4 - x\/4. Solve 2*c + r*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -441155.1?\nAnswer: -88231.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -11*n + 129. Let g be w(13). Which is the closest to -2?  (a) -2\/3  (b) g  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -1.2. Let t = -0.15 + 0.05. What is the third biggest value in u, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1567512 a multiple of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1308\/(-168) - (340\/(-42) - 582\/(-6111))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 1\/198052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 21*x**2 - 10*x + 7. Let l = -1 - -7. Let o be m(l). Let u = -366 + o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 34*s - 4. List the prime factors of d(9).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 2*w)*((-1 + 0 - 1)*(-2 + 2 + 2*w) + 3*w + 0*w + 0*w + 2*w - w - 2*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10.706 - -0.094. Let q = s + -11. Let j = 151 - 905\/6. Sort 4, q, j.\nAnswer: q, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of 3*t**4\/4 + 3*t**3\/2 - t**2 - 4*t. Let k(m) = 4*m**2 + 4*m - 1. Give 13*k(z) - 6*u(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.084953um in millimeters?\nAnswer: 0.001084953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 61850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - 9*d + 11. Determine u(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -8. Let p be (-2)\/1*b\/(-5). Let a(u) = -23*u**2 + u - u + 22*u**p. Let f(g) = -5*g. Give a(f(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*r - 19530 - 6272. Let f = -979 - r. Is 63 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -202, -439, -766, -1183?\nAnswer: -1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.56 in 5, -1\/10, -1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 6*s**3 + 5*s**3 - s**3 + 2*s**3 as c*s**3 + x*s + v + n*s**2 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-34)\/(-4) + (-1)\/(-2). Suppose 3*f + 2*z + c = -2*f, -5 = 3*f + z. List the prime factors of -2 - (-9 + (f - 2)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n**2 - 27*n**2 - 5*n + 3*n + 6*n**2 + 2 as q + c*n + o*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4*c = c - 59, 3*y + 3*c = 48. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -96.00489 + 96. Round o to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2636*m**3*n + 4*m**3*o + 4*m**2 - 54*m*n*o - 9*n wrt m?\nAnswer: 15816*n + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((-2)\/30)*(-100)\/(-300)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79 - (-11 + (-42 - -98)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -24*q**3\/7 - 52*q**2\/7 - 8*q\/7 = 0.\nAnswer: -2, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 21*s**2 + 6*s + 4. Determine c(-21).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 7\/60*z**5 + 0*z + 3*z**2 + 1\/3*z**3 + 0*z**4 + 19. Let r(h) = -h. Calculate r(b(x)).\nAnswer: -7*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-5)*s*(s*s**(2\/9)\/s*s*s)\/s)\/(((s**(-3\/8)\/s)\/s)\/s*s*s*s*(s*(s\/((s*s*s*s**4)\/s))\/s*s)\/s) assuming s is positive.\nAnswer: s**(259\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*o - 31*o - 4. Let j(d) = -d - 1. Let l(p) = -5*p - 5. Let g(i) = 6*j(i) - l(i). Let b(k) = -4*k - 4. Let v(q) = b(q) - 3*g(q). Calculate v(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 PM and 8:20 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 9:27 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than -19215.597?\nAnswer: -19211.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 497 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*b**2 - b**3 + 0*b**2)*(-61 - 2*b + 62 + b) to the form s*b**3 + m + o*b + p*b**2 + q*b**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from gysysgyywynggs?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k - 1. Let o be (-2)\/4 - (0 - 396\/8). Let f = o - 19. Suppose b = x + 4*x + f, 4*x - 4*b + 24 = 0. Give w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2057577 (base 8) to base 6.\nAnswer: 15432235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - j + 1. Let s(f) = -9*f**2 + 6*f - 13. Let z = 2724 - 2730. Calculate z*d(m) - s(m).\nAnswer: 3*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*2*(-1*sqrt(1216) + sqrt(1216))**2*-3*5*-5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23.8 - -23.8. Which is the closest to 0.4?  (a) -1\/2  (b) l  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21)\/42*(-1118)\/(-1). Let c = -386 - h. What is the remainder when c is divided by 612\/14 + 2\/7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2928241\/81 + -36152. What is the common denominator of s and -17\/1584?\nAnswer: 14256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118579?\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00050672023 to 7 decimal places.\nAnswer: 0.0005067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -75*u**2 + 2287*u - 5028. Give z(28).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 542 + -540. Let d(l) = -l + 4. Let r be d(-4). Suppose -p + 5*p = -r. Sort p, s, -3 in increasing order.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73680447?\nAnswer: 3, 127, 193387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16.472 + -16.3. Let t = i - 0.072. Which is smaller: t or 0.8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/1044 and -50\/2508993.\nAnswer: 10035972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -220*f + 50 + 74 + 88 + 178*f + 108*f. Calculate the remainder when m(-2) is divided by (3\/2)\/(1\/14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 25 = 0, -3*j + 4*j = -5*o + 530. Suppose -2*q - q = -o. Is q 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 6:03 PM and 11:18 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 8 = 4*r, 0 = -2*h + h + 5*r - 10. Suppose -3*s + 6 + 39 = v, 0 = 3*v - 4*s - 174. Let b = v - 49. Solve -z + h*z - b = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 121029.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + 7. What is the remainder when 67 is divided by 302\/18 + p\/117?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 666366712*h**2 + 586315153*h wrt h?\nAnswer: 1332733424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 483*p**2 - 1724*p + 129333. Give i(486).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/16 in 2, 4, -0.1, 3\/43?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -352 - -3?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-34 - 2 - 21)*(4 - q - 4 + 0*q - 2*q + 6*q + (-3 + 3 - 2*q)*(-3 + 0 + 0))*(q**2 - 3 + 3) as w*q**2 + t*q + z*q**3 + o and give z.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 53491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/2  (b) 3  (c) -2\/3  (d) -12\/11  (e) 2  (f) -23.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**2 + 2*g. Let l be (3 - 5)*(-1 + 0). Let s be n(l). Determine d so that d**5 + s*d**5 + d**3 + d**5 - 4*d**4 + d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6811200 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q = -78*q + 138345. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 395490 and 267.\nAnswer: 35198610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/102159513 and 81\/5528.\nAnswer: 817276104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21\/82 + 409\/3526. What is the common denominator of q and 3\/400?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from {b: 13, e: 6}?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) 8  (c) 0.5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 753 + -744. What is the closest to -1\/3 in -0.5, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -9*w - 3 + 3 + 0. Let v(y) = 144*y. Let i(z) = -33*o(z) - 2*v(z). Let k(x) = -2*x**2. Give k(i(m)).\nAnswer: -162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 314 + -2196\/7. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148.999911 + -149. Round y to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -141 from 0.22.\nAnswer: 141.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -14*f**3 - 26*f**2 + 673*f - 644. What is z(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.02  (b) -2\/5  (c) 2\/11  (d) -4\/3  (e) 1\/2  (f) 324\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/24)\/(5\/(5*24)). Sort w, 10, 3, 2, -3.\nAnswer: -3, 2, 3, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 42 and 400428.\nAnswer: 400428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 4*k + 62768 = 19404, -54198 = -5*u + 2*k. List the prime factors of u.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 4 = 0, -3379 = 3*m - 51*p - 3583 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 5074608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 9*k. Let c(m) = 5*m. Let z = -314 - -310. Let q be 9 - ((-1 - -3) + 0). Give q*c(i) + z*r(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 11. Let r = -6\/23 - -111\/161. What is the biggest value in r, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from yocgmga?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 4*p - 3*h, 0 = -3*h - 0*h - 9. Is 21\/p*(-424)\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*f**2 - 8*f**2 - 6*f**3 + (-2*f**2 + f**2 + 0*f**2)*(2*f - 3*f + 0*f) + 24186*f**2 - 24186*f**2 - 1364*f**3.\nAnswer: -1369*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 12:18 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-2))\/(28\/(-154)*-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(117) - (sqrt(117) + sqrt(117) + 1 - sqrt(117))) - (0 + sqrt(117) + -1 + sqrt(117)) - (sqrt(117) + (1 + sqrt(117))*-4)*2)**2.\nAnswer: 96*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 709 or 710?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -2*s + 6*s. Let g = 11 - s. Let x be 15\/4 - g\/(-20). Put 5, x, 3 in decreasing order.\nAnswer: 5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 8 = -20. Find the second derivative of h**t + 796*h + 256*h**3 - 1592*h - h**2 + 795*h + 32 wrt h.\nAnswer: 1536*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -5525aa?\nAnswer: -5525aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/200 - (0 + 0). Let v = c - 1697\/120. Calculate the common denominator of 67\/6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/59 - 113\/295. Let y(f) = -f**2 + 4*f + 2. Let i be y(4). Suppose -20 = 2*l + i*l. Which is the biggest value?  (a) z  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 48\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/3  (b) -2.4  (c) 2  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 2 = -2. Put -0.3, w, -3 in decreasing order.\nAnswer: w, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2899403779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83286.06s to minutes.\nAnswer: 1388.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2572.9246937258 + 1\nAnswer: 2573.9246937258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 10*z**2 + 10*z + 4. Let y be j(-11). Suppose 7*i - y = 6. Solve i*u - 15 = -0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -11. Sort 3\/5, s, -4 in ascending order.\nAnswer: -4, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 207\/45 + (1 - (0 - (-2 + -4)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 12*o**2 + 6*o - 167. Suppose -5*u = 2*h - 74, 24 = u + 3*h + 2*h. Calculate the smallest common multiple of u and i(11).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - -3) + 2 + (0 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 14. Let o(f) = f**3 - y*f**2 - 3*f - 3 - 1 + f - f**2. Calculate the remainder when 20 is divided by o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 8. Which is the closest to o?  (a) -1  (b) -0.2  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6.3  (b) -0.063168  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 11:51 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/1 - 0 - (-79 + 45). Solve v = 5*u - 4*x, 2*u + u - 2*x - 22 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -230350036 (base 7) in base 11?\nAnswer: -7a35559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -3*u**2 + u + 8. Determine a(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 13 + -10 + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000038038 to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - 5*a**2 + 5*a + 4. Let o = -22 - -15. Is t(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 2:03 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0, 50, 3 in decreasing order.\nAnswer: 50, 16, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + o - 30 = 0. Suppose 2*b + a - 1 = 3, o*b = 5*a + 40. Determine k, given that -b*k**4 - 2*k**2 - 2*k**2 + 6*k**2 - 3 - 4*k**3 + 4*k + 5*k**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -244*i**3 - 126*i wrt i?\nAnswer: -1464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -646594610*w + 1293189215*w - 646594612*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-452)\/180 + (-123)\/205. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.4?  (a) 4  (b) -4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 17 - 5*i**2 + 5*i**2 - i**2 - 10. Let b(w) = w**3 + 6*w**2 - 2*w + 30. Let f be b(-7). Calculate n(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 46*f - 55*f. Solve f = -5*z - 3*y + 1 + 2, -5*z - 4*y + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13486683?\nAnswer: 3, 7, 642223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqkk when four letters picked without replacement from qqqkqqkkqk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vtkusvf. What is prob of sequence vv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/14 + (-100)\/105. Let j = -1 - -0.9. Let y = -5\/33 - -134\/231. What is the closest to j in 1, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-13)\/65 + (-8)\/(-40))\/(2\/1). Solve p = -79*j + 60*j + 76 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 9:05 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 5 = -2*a - 7*m, 3*a - 30 = 5*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 6*a - 20. Let k(s) = -3*s**3 - 29*s**2 - 8*s - 227. Let f be k(-10). Sort a, f, 2 in descending order.\nAnswer: a, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 23 - 196 - (-3)\/1. What is the tens digit of (4 + t)*(-2)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*126\/(364\/(-26))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 7 - 11 - 11 + 5*l - 2. Let f(w) = w - 4. Give -9*f(x) + 2*y(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*d - p, 3*d - 5*p = -0*d + 11. Suppose 9*s - 7*s = d. Is (-40 - 3)*-1 - s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -1 + 12 - g**3 + 4*g**3 - 4*g**2 + g. Let m(q) = -6*q**2 - 22*q**3 + q + 16 + 53*q**3 - 27*q**3 + q. Let x(t) = 5*m(t) - 7*w(t). Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.145 and -16522.\nAnswer: -16521.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 8.106357 weeks?\nAnswer: 4902724713600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((-54)\/(-459) - (-385)\/51)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -6. Let x(p) = 8*p - 10. Let r(i) = -13*i + 3. Let a(z) = -z - 1. Let f(u) = -6*a(u) + r(u). Let m(c) = l*x(c) - 4*f(c). What is m(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8351 is divided by 2782.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 10, -2*i + i + 11 = r. Let v = -5 + i. Solve -5*q + s = -q - 9, 0 = v*q + s - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 1127*f - 3373. What is m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -997 in descending order.\nAnswer: 0, -2, -997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of 2*d**3\/3 - 210*d + 2900. Let p(w) = -7*w. Calculate p(n(t)).\nAnswer: -14*t**2 + 1470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93659 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-13)*x*(x\/(x**(-2\/55)*x)*x)\/x)**(-3\/23))**(-2\/7) assuming x is positive.\nAnswer: x**(-564\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + 2 - 2 - b + 4*b - 2*b + (4 + 1 - 3)*(3*b + b - 3*b))*(-19*b + 10 - 10).\nAnswer: -38*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 28199260 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f**23\/f))**46\/(f**27)**(1\/26) assuming f is positive.\nAnswer: f**(-25143\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -41366233 (base 7) in base 10?\nAnswer: -3478828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 662389 divided by 10?\nAnswer: 662389\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-32))\/(729\/(-162)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/3 - 5216107*b**2\/3 - 2267315222305*b - 2267313483603.\nAnswer: -(b + 1)*(b + 2608053)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 86526780*o**3 - 221024*o - 178 wrt o.\nAnswer: 519160680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.9 - 2.43?\nAnswer: -63.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (-2*(-1*sqrt(171) + sqrt(171)) - ((-1 + sqrt(171))**2 + -4)))*-3 + 0.\nAnswer: -18*sqrt(19) + 519","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**4\/8 - 5*r**3\/6 - 45*r**2. Let g be l(-3). Solve -2*w = -w + 4*o - 18, -20 = -g*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70*(342\/(-42) + 9*(9 - (16 - 8))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 - 27)*714\/84.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.309 + -0.30897432. What is k rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 339071 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50, 3, -538 in decreasing order.\nAnswer: 50, 3, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -982, -1021, -1084, -1177, -1306, -1477, -1696?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -31\/3 in -4\/5, -0.4, 2, -15, 0.1, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 10\/49*h**7 + 0*h**2 + 0 - 1\/35*h**5 + 0*h**4 + 0*h**3 - h - 4\/105*h**6. Factor c(o).\nAnswer: 4*o**3*(3*o - 1)*(5*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 425 and 4418725.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 68*i. Let w(m) = -39*m**2 - 2*m + 57. What is s(w(a))?\nAnswer: -2652*a**2 - 136*a + 3876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197387320 divided by -65.\nAnswer: 3036728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 1:49 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u. Let s(o) be the third derivative of -1\/24*o**4 + 0*o**3 + 0 + 2*o**2 + 0*o. What is 5*s(h) - 3*v(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i + 8. Let g be 3*2\/4*4. Suppose -4*h + 3*h + g = 0. List the prime factors of d(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -73*n**3 - 13*n**2 + 23*n - 6. Let x(h) = 70*h**3 + 11*h**2 - 20*h + 5. Calculate -6*o(c) - 7*x(c).\nAnswer: -52*c**3 + c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 45 = -5*q, 3*x - 15 = 2*q + 10. Suppose n - 86 = -37*a + 33*a, -4*a + 26 = -5*n. Solve -4*r + 0*b = -b + a, x*r = 2*b - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/4)\/(3\/(-4)). Let h be (3\/2)\/((-33)\/(-880)). Suppose -n*z + h = 3*z. Calculate the greatest common divisor of z and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s - 365. Let d(r) = 39503*r - 79008*r + 39504*r. Calculate j(d(q)).\nAnswer: q - 365","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 13.2  (b) 3  (c) -3\/7  (d) 3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d - 3. Let f be c(-5). Suppose -o = -f*o + 5. Suppose 0 = 2*p + k - 0 - 3, -2*p = -k - o. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 4*j = -38. Let d = 22 + j. Suppose -2*z = -4*z - d*n - 7, n = 5*z - 25. Solve z*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 3*f - 9, -2*h + 2*f + 9 = 5*f. Suppose -8 = -2*v - h. Solve v + 1 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188 is divided by 85?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fdwadnddanddfdd. What is prob of sequence fa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.7609069kg?\nAnswer: 760906900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -8*w + 4. Let i(a) be the third derivative of a**4\/24 - a**3\/6 + 3*a**2. Let r(n) = 6*i(n) + j(n). Let v(t) = -t**2 - t. Calculate -r(p) + 2*v(p).\nAnswer: -2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 3:29 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4738\/585 - 8\/65. What is the common denominator of 6\/(-4)*(-102)\/(-117) and l?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(1\/4)\/s*s**(2\/9)*(s**(-1\/5))**(-46) assuming s is positive.\nAnswer: s**(1561\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 8*g + 7. Let v = 5 - 29. Calculate the remainder when s(8) is divided by (v\/(-40))\/((-2)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 16 = -4*p, 3*p + 11 = -6*j + 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b + 7. Let c(a) = -832*a + 747. Let v(j) = c(j) - 2*l(j). Find the first derivative of v(y) wrt y.\nAnswer: -834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 + 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 22. Let h be p(5). Let z be (25\/(-3))\/((17\/18)\/h). Let i = z - -296. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -u**7\/42 + u**6\/12 - u**5\/12 + 23*u**2. Factor v(x).\nAnswer: -5*x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7875 = 756*n - 441*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 34*q**2 + 827*q + 2600. Give z(-21).\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*b**2*d**3*t + b**2*d**2 - 15*b**2*d*t**2 + 1277*b*d**2*t - b*t**2 + b + 90*d**3*t**2 wrt t?\nAnswer: -30*b**2*d - 2*b + 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 8 = 4*y + 2*t, 0 = 5*y + 4*t - 16. Sort 2, y, -8 in increasing order.\nAnswer: -8, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.2 + 4.2. Which is the smallest value?  (a) -2\/9  (b) -23  (c) p  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -0.1. Let k = -25 - -24. Let j = -8955 - -134323\/15. What is the nearest to x in -13, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c. Let q(f) = f - 24. Let p(x) = -2*b(x) - q(x). Let a be p(-6). Let g = -26 + a. Calculate the smallest common multiple of 22 and g.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/7)*f**2\/f)\/(f**(2\/7)*(f*f**(-1\/8))\/f)*((f*f**6*f)\/f)\/(f**(1\/11)*f)*f\/(f\/((f*f\/((f\/(f*f**(-2\/9)))\/f))\/f*f))*f*f**(-5) assuming f is positive.\nAnswer: f**(29053\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2 + 2*g + 2. Let f(m) be the first derivative of -m**6\/40 - 10*m**3 - 17. Let w(q) be the third derivative of f(q). Give w(d(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(720) - (-1 + sqrt(720))) - sqrt(720))*-5.\nAnswer: -20 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3513089 is divided by 1171013?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c - -23ea91?\nAnswer: 23ea9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 + 5001090*z + 10002192.\nAnswer: -3*(z - 1667032)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1951 divided by -1951.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-160)\/(-48))\/(3\/(27\/6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1082\/9 - -120. Suppose 5*b = 4*b - 5. Suppose -3 = -2*p - 11. What is the closest to 0.3 in b, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 4) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5733*k - 22853. Calculate o(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/4)\/((k\/(k\/(k*k**(2\/11)*k)*k))\/k))\/((k\/k**(-1\/4))\/k*k**(-3\/16)) assuming k is positive.\nAnswer: k**(-263\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 6 = 2*s - s, 2*q - 4 = -4*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 114 = 5*u, 2*u + 110 = -3*u - 5*f. Let d be (-6)\/((u\/(-75))\/(-4)). Suppose -3*s - 9 = -d. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 6:16 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/9, -8, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.1  (b) 0.2  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 234*c - 34428. Give a(150).\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2874 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4 + -0.3. Let z = 0.3 - i. Let t = z + -3. Which is the third smallest value?  (a) 1  (b) t  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of -f**3\/6 - f. Let i be x(0). Suppose 0 = -9*n - 4*n + 91. Solve 2*t - n + 1 = i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.5 - -0.4. Let l = 3.6 - 2.5. Is l greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 12*x = -14*x + 1924, -644 = -a - 2*x. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 64.1 - 29.2. Let l = 34.87829 - d. Let w = l - -0.025. Round w to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156537814 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -40 - -44.4. Let p = -0.6 - n. Let r = -0.75 + 0.75. Which is the smallest value?  (a) 4  (b) r  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*o - 37873*o - 19333*o.\nAnswer: -57395*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -43*a**4 + 7*a**3 + 8635?\nAnswer: -172*a**3 + 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7383?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 585\/4 + -583\/4. Factor 3\/4*u + z + 1\/4*u**2.\nAnswer: (u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5.98 at most -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/13*(1100\/(-66))\/(-25)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 47*s + 108. Let f(u) = 119*u + 269. What is -5*f(c) + 12*r(c)?\nAnswer: -31*c - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 10*u - 18. What is y(-16)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 3*p + 191. Let n(t) = 2*t + 95. Let b(f) = -3*k(f) + 7*n(f). What is b(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**5\/60 - x**2\/2 - 2*x. Let u(i) be the first derivative of d(i). Let j(c) = -4*c**2. What is u(j(l))?\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*d*f*k**3*p - d*f*k**2 - 4*d*f*k*p + d*f*p - d*k*p**2 + 10*d*k*p - d*p**2 - 2*f*k**2*p**2 + 7*k*p**2 wrt k?\nAnswer: 240*d*f*k*p - 2*d*f - 4*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((98\/147)\/(102\/(-9))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101000010011100 (base 2) in base 10?\nAnswer: 53404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -4  (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*s**2 - 64*s**2 - 45*s**2 + (4*s + 0*s - 2*s)*(-60*s - 35*s + 53 + 93*s) as c + v*s + y*s**2 and give y.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 0*q - 10 = 0. Suppose s - q*s + 20 = 0. Suppose s*m = 9*m - 796. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*j + p + 2 = -67*j, -3*j + 2*p = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*o - 36 - 36. Calculate the remainder when 366 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**4\/7 - 8537*c**3\/7 - 2056891*c**2\/7 - 1443609*c - 8056908\/7 = 0. What is c?\nAnswer: -8289, -243, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1204711.65 to the nearest 100.\nAnswer: 1204700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 422893 + -2?\nAnswer: 422891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 3b2bda (base 14) to base 8\nAnswer: 7627754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w - 20. Suppose 6*r - 35 = 7. Let p be c(r). Let s be 1\/(-3) - (-25)\/3. Is p != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -1179?\nAnswer: -1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -1) + -13 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3278078*o - 99329738.\nAnswer: 3278078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -215 + 114022?\nAnswer: 113504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -34 - -33.62. Let z = l + 0.2. Let j = z - -0.1915. What is j rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 26 + 1. Calculate the remainder when 93 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -306.5 * -0.02993\nAnswer: 9.173545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -7*b - 172. Determine r(10).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 262443?\nAnswer: 524886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26*l**2 - 27*l**2 - 8*l**2)*(-1 + 3 + 1)*(-l + 0*l + 0*l).\nAnswer: 183*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/6 - 3\/(-12) and 50959\/(-25938) - (-4)\/18.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 3 + 17 = 0. Solve c + m = -5*a, -5*c - 2*a - 17 = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-36) + 302\/12. Solve 3*z + s = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/((-4)\/14))\/2)\/((-1845)\/(-738))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24 - (21 + -38))\/((-2)\/15838) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -682, -2695, -4708, -6721, -8734?\nAnswer: -10747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*(1 + sqrt(1100)*2)*-2)**2.\nAnswer: 160*sqrt(11) + 17605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 30*h. Let m = 3734 + -3736. Let b(x) = 3*x. Give m*s(v) + 21*b(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 206483 + 145219 = -0*g. Calculate the greatest common factor of 234 and g.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 64867216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -202280580 divided by 22475620.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/26 and 27\/644.\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gtggttggggggtggtgggg. What is prob of picking 1 g and 2 t?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58\/3 + -19. Which is the second biggest value?  (a) 1  (b) k  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11313*j + 408 + 35041*j - 408 to the form s + a*j and give a.\nAnswer: 46354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46458051, -92916088, -139374125, -185832162, -232290199, -278748236?\nAnswer: -325206273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2250 (base 11) in base 16?\nAnswer: b8f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 3 - 13 = 0. Let y = a - 2. Suppose 0 = 5*j, y*v - j - j + 100000 = 0. What is v rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)*-2 - sqrt(24))\/(sqrt(132)\/(sqrt(11)*-1 - sqrt(11))) - (sqrt(512)*3 + -2)**2.\nAnswer: -4612 + 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**2 - 3*a**2 + 9*a**2 - 2*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.57853l to millilitres.\nAnswer: 8578.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 20 + 0*y + 5*y - 19. Let t(x) = x**3 + x**2 - x + 1. Let f be t(1). Let k be d(f). Which is smaller: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2513 + 1437. List the prime factors of c.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -95 divided by -8504.\nAnswer: 95\/8504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 2*r = -21, 2*c + 4 + 14 = -4*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 11 = -9. Let u be (23 - 20)*f\/22. Is u bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 10*z**2 + 30*z + 15. Determine r(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1085698040?\nAnswer: 2, 5, 7, 41, 94573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*l + 7*g - 3*g, -4*l = 2*g - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -7, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -16.04*-0.0346\nAnswer: 0.554984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 c when four letters picked without replacement from usfffcffcufwfuuclw.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n - 8 = -8*n. Let b be (n\/(-2))\/((-6)\/174). Let h = b - 24. What is the highest common divisor of h and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3134.\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + 18 - (9 - -10) - -2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0503 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1*2*15\/(-5))\/2. Let p be (11 + -11)\/(6\/(-2)). Suppose -10*u + 5*u = p. Solve -2*s + 5 = -t, -t - d*s + 2 - 7 = u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2, -4.2, -76799?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 9:31 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 15*q. Let c(p) = -19 - 6*p + 19 + p + 7*p. What is z(c(s))?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 930, 2354, 4754, 8616, 14426, 22670, 33834?\nAnswer: 48404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/9)*b**(1\/6))\/((b\/(b*((b**(1\/15)\/b)\/b)\/b*b))\/b**(-15)))**(-35) assuming b is positive.\nAnswer: b**(10493\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9525.994 milliseconds?\nAnswer: 9.525994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7529966*b**3 - 4712947*b wrt b?\nAnswer: -45179796*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1380 or -2075?\nAnswer: -2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 0.069337, 3275 in increasing order.\nAnswer: 0.069337, 0.2, 3275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + t - 3 - 11 = 0, -4*s = 4*t - 8. Solve -8 = 3*n - s*g + 2*g, 2*n + 3*g + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -3*r**2 - 2 - 4*r - 2\/3*r**3. Factor p(d).\nAnswer: -2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/1 + 7 - 3. Let u = -41\/40 + 5\/8. Let m = 0.1 - -0.1. Which is the nearest to u?  (a) j  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - j = -4*o + 41, 3*j - 12 = -3*o. Let a(s) = -3*s - 2. Let u be a(-2). Differentiate 8 - 12 + o - 5*x**u wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3\/4, -1\/7, 11806 in descending order.\nAnswer: 11806, -1\/7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 726\/(-2) + (-2)\/(-2) + 0. Let d = 88 - z. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7723972, 7723973, 7723974, 7723975, 7723976?\n\"Answer: z + 7723971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.11, -2, 8, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3633493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -395\/9204 + 11\/177. Let k = 60 - 56. What is the biggest value in u, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 19290.\nAnswer: 57870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1889251 times -3.5?\nAnswer: 6612378.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -154 - -135. Which is bigger: f or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 9*l + 12. Let i be r(8). Suppose i*j - 2219 = 13*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -111 - -171. Calculate the highest common factor of 480 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 - 7*i**2 + 6*i**2 + 3*i**2. Let q(h) = 16*h**2. Give t(q(b)).\nAnswer: 256*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 - 4*t**2 + 12*t. Let z be y(-6). Let d be 1*((-60)\/(-55))\/6. Which is the closest to z?  (a) -0.5  (b) 2\/17  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 67 = -49 - 48 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 7\/20, -2\/203?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 5*h. Suppose h = 5*x - 31 - 4. Calculate the remainder when x is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 40 = 5*u, -17 = -4*y - 1. Let c(z) = z**3 + 6*z**2 + 5*z + 4. Let o = -28 - -34. Calculate the remainder when c(u) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161100507 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -1\/6, -9\/4, 1.2267 in descending order.\nAnswer: 14, 1.2267, -1\/6, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -9*n. Let t(y) = -22*y. Suppose 2*g - 2 = g. Suppose -g*v = 22 + 2. Determine v*h(x) + 5*t(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**3 + 2*h**3 - 3*h**3)*(3*h + h - 5*h) + 5*h**4 - 45*h**4 + 14*h**4 + (2*h**3 - 3*h**3 + 6*h**3)*(2*h + 4 - 4).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 155 + -152. Suppose -i*n - 3*l = n + 326, 5*n + 2*l = -404. Let z be n\/72 - 3\/9. Which is smaller: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122686 is divided by 1043?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4594 + -110239\/24. Calculate the common denominator of -7\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-112)\/420)\/(4\/6)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8093\/39, -7.17 in decreasing order.\nAnswer: -5, -7.17, -8093\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/5*(-2)\/92*-2.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388475952 is divided by 795.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 492429356 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2818108, -2818110, -2818110, -2818102, -2818080, -2818038, -2817970, -2817870?\n\"Answer: p**3 - 5*p**2 + 6*p - 2818110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -7*y - 13. Let a be m(10). Let u = 169\/2 + a. Which is bigger: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*v = 0. Let i be -5 + 4 + v + -1. Let u(j) = -2 + 2*j**2 + 2 + 3*j. Give u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 375 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/8 of a millennium in months?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 81 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -194*t**4 - 699*t**2 wrt t.\nAnswer: -4656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3993778 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 4*c + 272. Let f(b) = 11*b + 819. Determine -6*f(i) + 17*x(i).\nAnswer: 2*i - 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (-8 + 11 + 3 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -5*w**2 - 44*w - 65. Let i be m(-9). Put -5, 4, 0, i in decreasing order.\nAnswer: 4, 0, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -1464*v**2 + 2852*v**2 - 1428*v**2. Let f(n) = -4*n**2. Calculate l(f(h)).\nAnswer: -640*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 499158 and 1164042?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) 7.2  (c) 2\/5  (d) -0.01  (e) 1\/6  (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-13)\/((-26)\/310) - (3 + -1 - 3) and 117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - l = 4*l. Suppose -10 = 2*a - l*a. What is the biggest value in -11, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -395 + 403. Let m = -8.42 - -8. Let l = -0.02 - m. Sort -2\/13, 0, v, l.\nAnswer: -2\/13, 0, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4212 - -3?\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 122 + 442. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 5)*(-2)\/4 + 2. Suppose n = 6*p - 762 - 4956. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 12*j**2 - 13*j - 14. Calculate q(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -504492 or -2257?\nAnswer: -2257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22516\/82270)\/((-26)\/(-4940))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*n**2 + 1)*(0*n**3 - 2 - 2*n**3 + 3).\nAnswer: 4*n**5 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 395 - 218. Let q = a - 157. Calculate the lowest common multiple of q and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 10 - -1 - (30 + -37)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -4*h + 6. Let y(t) = -9*t + 12 - 11 + 12. What is -7*v(w) + 3*y(w)?\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1172*g + 706*g - 52658 for g.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2104\/24 - 88)\/((-2)\/(-114))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53 - (29 + -42)) + 5 + -2 + -11?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7, 0.3, -1, 1.24, -2, 2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(164\/163 - 1). Let y(c) = c**3 + 8*c**2 - 7*c + 10. Let s be y(-7). Let i = o - s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53\/114 - -2\/57. What is the second biggest value in -3\/8, -5, f?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -50*u - 5*u + 31*u + 1 wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 + 61 = -2*g. What is the tens digit of g\/(-2)*(-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52436.81 centimeters to micrometers.\nAnswer: 524368100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrbbbrrbbbb. Give prob of sequence bbbr.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j + 12*j - 42*j + 17*j = -4*u - 51, 20*u = 18*j - 1022 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3173572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-16))\/((-2)\/(-8)*-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2304826 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 8, -12 in increasing order.\nAnswer: -12, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1912640?\nAnswer: 2, 5, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.002856005 * 2\nAnswer: -0.00571201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*b**2 - 776*b + 3899.\nAnswer: 6*b - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -110, -184, -312, -500, -754, -1080, -1484?\n\"Answer: -x**3 - 21*x**2 - 4*x - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + 36 + -7 - (14 + 3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-1)*1\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -6. Suppose -v*d + 0*d - 3 = 0. What is the units digit of 5*d*6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s**2 - s - 2. Calculate u(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9831?\nAnswer: 3, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(180)\/sqrt(4) + sqrt(5)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 496 and 65168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10044 divided by 5?\nAnswer: 10044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -115837*a*p**2 - 39380*a with respect to p.\nAnswer: -231674*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -243\/10 + 49\/2. Suppose 43 - 25 = -18*f. Suppose 5*c - 7*b = -2*b + 30, -c - 6 = 5*b. Sort c, f, h in ascending order.\nAnswer: f, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -2*u**4 + 23*u**2 + 1\/3*u**3 - 103 + 2*u. What is the second derivative of k(x) wrt x?\nAnswer: -48*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -358742.906629 and -0.3.\nAnswer: -358743.206629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**2\/4 + 3*a\/2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 * -0.6.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 669 is divided by 652.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3575*l + 7145*l - 3570*l - 10*l**2 - 84.\nAnswer: -10*l**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/(-4))\/((-15)\/(-140)). Let g(a) = -a**3 - 14*a**2 - 8*a. Let d be g(s). Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - 0.1. Let q = -0.056 - -1.056. What is the closest to -2\/5 in q, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 27*i**2 - 175*i - 109. Is r(-26) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 300 + 1007. Let m = c + -897. What is m rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**2 + 3*x + 3. Let i = -6 + 10. Let y be i*1\/(-3)*-3. List the prime factors of p(y).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*5\/((-50)\/12). Let v be 6\/4*68\/t. Let a = v - -6. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -j**5\/10 + 11*j**4\/4 - 8*j**3\/3 + 3*j**2 + 28*j. Let i be h(16). Solve 3*z - i = 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18982, -26977, -34972, -42967?\nAnswer: -50962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 - 16*p**2 + 28*p + 4. Let h be t(14). Let a be 1\/(h\/(-612)*-3). Let j = a - -4. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1065*k = 1055*k + 10. Let y(b) = -b**3 + b**2 + b - 4. Let z be y(0). Let r = 0 - 0.1. What is the closest to k in r, 4, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-2\/3))**(-2\/5)\/(((y*y**(-4\/7))\/y)\/y**4))**42 assuming y is positive.\nAnswer: y**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3)\/2*(-16)\/6. Let y = 8 + m. Suppose -y = -2*f - f. Solve -5*a + 1 = -f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*g*x**4 - 62645*g*x - 2462*x**5 wrt x?\nAnswer: 120*g*x**2 - 49240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*(0 - (0 + -21)). Let c = -17 - j. Solve 0 = -4*u - 5*i - 1, -4*u - c*i - 5 = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 136 - 58. Calculate the remainder when 854 is divided by a.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2965.176 nanometers in kilometers?\nAnswer: 0.000000002965176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z = 5*z - 10. Let f = -18721\/16470 + -7\/610. Let c = f - -16\/27. Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/((r**(-9)\/r)\/r)*r**(-39)*(((r\/r**(-1\/3)*r)\/r)\/r)\/r**39 assuming r is positive.\nAnswer: r**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/90*(-21)\/(-63).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -175224796*x. Let g(t) = -2*t**2. Calculate g(z(s)).\nAnswer: -61407458266483232*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(2\/71)*r**11\/r*(r*(r\/(r\/(r\/r**11)))\/r)\/r**(-13\/6) assuming r is positive.\nAnswer: r**(935\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/9*1\/(-4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 3*o + 72 = 4*a, 4*o + 4*a = 92. Suppose -45 = -3*u - 3*f, -5*u - 4*f - 60 = -7*u. What is the highest common factor of u and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 105*w - 213*w + 105*w. Let t(v) = -2*v**2 + 30. What is t(f(r))?\nAnswer: -18*r**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 585368 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b. Suppose -4*q + 4*v + 56 = 0, 5*v = -5*q - 0*v + 20. Let z be (q\/3)\/(9\/6). Let a(i) = 6756 - 17*i**z - 6756. What is s(a(f))?\nAnswer: 34*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -2\/1515?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/(-680))\/((-14)\/35).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 322152732 divided by -5676\nAnswer: -56757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1731150 and 65?\nAnswer: 22504950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2 + (3 - 1))*1)\/3. Solve -4*t + 5*s + c*s - 8 = 0, -17 = t - 5*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qxtqsxsslqqtszqqzxz. What is prob of picking 1 q and 1 t?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7432 divided by -3?\nAnswer: -7432\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -869 and -870 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 27 = -5*c, 8*p = 4*p - c - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**7\/t)\/(t\/t**4)*t\/((t**3*t)\/t)*t\/t**(-3))\/((t*t**(1\/5)\/t*t*t*t**(-6\/5)\/t)\/(t\/(t*t\/t**(-4\/7))*t\/t**(4\/3))) assuming t is positive.\nAnswer: t**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d - 13. Let l be a(6). What is the hundreds digit of ((-1)\/l)\/(-1)*-219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4118573*w**5 - 4*w**3 - 9*w**2 - 3078761*w - 232 wrt w?\nAnswer: 82371460*w**3 - 24*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -11*a + 1. Let m be f(1). Let h = 14 - m. What is the remainder when (-15)\/10*26*(-12)\/4 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 6*l**2 - 4*l - 3. Let w be p(5). Suppose -3*k - 11 = 4. Let o = 8 + k. Is w <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27487837 a multiple of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*-1)**2*1 - sqrt(304) - (3 + (sqrt(475) - (sqrt(475) + -1 - sqrt(475)))**2).\nAnswer: -175 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 98794 - 98654. Let l = 40 + -29. What is the remainder when i is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 10) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from erwwiwiiewiwiwewwri. What is prob of picking 2 r and 2 e?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of 2*h + 0 + 1\/6*h**3 + 0*h**2. Let d(q) = -2*q**2 + 4*q**2 - 2*q**2 + 3*q**2. What is d(a(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3*n + 1 + 0 + (n - 3 + 3)*(2 - 4 + 3).\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2369*t + 2380*t - 99 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 126 or 127?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1128*h**2*o**3*u**3 - 2*h**2*o*u**3 - h**2 - 7*h*o**2 + 30*o**3*u**3 + 2583*o**2*u**3 wrt o?\nAnswer: -6768*h**2*u**3 + 180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -313 or -309?\nAnswer: -309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.55257 decades in months?\nAnswer: 8466.3084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-46)\/92 - 9\/30.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 7*p - 18 + 15*p**2 + 16 in the form n + t*p**2 + g*p and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-12 - -2) - 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -1184*n**3 - 2444*n**2 - 104*n - 24. Let u(v) = -338*v**3 - 698*v**2 - 30*v - 7. Let c(m) = 7*d(m) - 24*u(m). Solve c(r) = 0 for r.\nAnswer: -2, -1\/44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 726520601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1001113 - 11333332?\nAnswer: -13001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (1 - 1 - (-12 - -16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.84 plus 9027?\nAnswer: 9027.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-2)\/(58 - (0\/7)\/(-7)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*k - 5 = 229*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-4)*-2*1. Let h be (3 - -4)*g - -1. Let f = h + 14. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 9*p + 9. Let h be a(11). Let y = h + 11. Calculate the common denominator of -15\/11 and (-56)\/10 + 0\/y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 2*w**2 + 2*w + 14. Let g be d(0). Suppose 0 = 4*q - 14 - g. Let o(p) = p**2 - 4*p - 12. Let j be o(-2). Solve j = -i - 2 + q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -7, -1.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -67 + 70. Solve x*t = 2*t - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 1580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -i + 15, 3*i = -n - 2*n. Suppose -2*m - 2*k = 2 - 4, n = 2*m + k. Calculate the least common multiple of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 37644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100 (base 2) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*b**2 + 6*b**2 + 12*b**2)*(0*b + 0*b + 2*b).\nAnswer: -98*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 4. Let q(x) = 4*x**2 + n + 2*x**2 - 5*x - 3 + 2*x**3 + 0*x**2. Is q(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (27 - 0)\/(((-1)\/1)\/(-1)). Suppose -28*z = -p*z - 92. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287026 + 210839.464?\nAnswer: 497865.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m + 1 + m**3 - 2*m**3 + 0. What is the units digit of w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8872451888 to the power of 1\/4, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooozooz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j + 3. List the prime factors of k(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-37))\/((l**(-12\/5)*l)\/l) assuming l is positive.\nAnswer: l**(202\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 258 - 262.38. Let z = -0.38 - s. Let k be 2 + -3 - (-3)\/2. What is the closest to k in z, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*l + 5124 = -171*l - 16124 for l.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42169 - -65542. List the prime factors of d.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 852?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4466 take away -7677777890?\nAnswer: 7677782356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -9*t**3 - 87 - 2*t - 14*t**3 + 86 - t**2 + 4*t**3. Is n(-2) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3867 = 3*f, -h - 16 + 1323 = -2*f. What is the greatest common factor of 315 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7, r: 6, y: 1, w: 4}. What is prob of picking 2 w and 2 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/9237 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -27, -18?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.83 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + n + 78 = 0, -88 = -5*q - 5*n + 47. Solve -62 = q*d - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-123)\/6314 - 12\/168)*-5.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 5:18 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 376011131 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 385733763 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-352)\/33*(-18)\/(-488). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -980*v**6\/3 - 994*v**5 - 1727*v**4\/2 - 142*v**3\/3 - v**2 - 2*v - 49. Let j(p) = 0. What is p?\nAnswer: -1, -1\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -10862, 4, 1, -2\/49, -0.5, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y + 7 - 205. Let g = -14 + y. Let o be (-12)\/g*(-1 - 1). Solve 3*l - 8 = -4*c, l + o - 2 = -5*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 28*f + 4. Let a be j(3). Suppose 2*m - a = -2*m. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -5*c**2 - 26*c - 48. Let w(z) = -2*z**2 - 9*z - 16. Let u(r) = -8*w(r) + 3*y(r). What are the prime factors of u(13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -8*f + 26. Let y be i(-12). Suppose -c - y = -g + c, 2*c - 646 = -5*g. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/(-35) - 6\/14. Suppose -11*g + 12*g - 3 = h. Find the second derivative of 3 - 3*x - g - 4*x**3 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**4*j**2\/j*(j**(-1\/3))**(-1))\/((j**(-2\/3)\/j*j)**(-2\/7)\/(j**(2\/7)\/(j**(-5)\/j))) assuming j is positive.\nAnswer: j**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/3*20\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4*h**2 + 2*h + 8. Let z = -28 + 15. Let d(i) = 9*i**2 - 5*i - 17. Let o(m) = z*x(m) - 6*d(m). Suppose o(q) = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + ((-2*sqrt(153) - sqrt(153)) + sqrt(153))*4 + (4*(sqrt(153) - 2*sqrt(153)) - sqrt(153)))\/(sqrt(63)\/(sqrt(7)*-1) - sqrt(108)\/sqrt(3)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (75\/(-25))\/(3\/4) + 7. Suppose 11*z - 15*z = -3*y - 42, x*z = -2*y + 23. What is the least common multiple of z and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3661\/474 equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -6  (b) -99  (c) 31\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 55*i - 15 = -52*i, 6*p = 3*i + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 - -6024625892.4.\nAnswer: 6024625892.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - j = -1 + 4, 5*j = 3*g - 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -25393330 divided by -3?\nAnswer: 25393330\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(1377)*2*1)*-5)**2*2.\nAnswer: -1800*sqrt(17) + 275450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2cc4 (base 13) to base 2\nAnswer: -1100110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 5*r + 10 = 0, -16*m + 2*r = -20*m - 14 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/8*(-32)\/(-6). Suppose -204*y = -437*y + 699. Factor 0*u - r*u**2 + 2\/3*u**y + 0.\nAnswer: 2*u**2*(u - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.1. Let o = 2.11 - 0.11. What is the nearest to -2\/5 in o, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 3\/4*p**2 + 1\/4*p**3 + 3\/4*p + 2. Determine r so that n(r) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5651*h + 11227.\nAnswer: 5651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 4*x**2 + 2*x + 5. Let u be o(-4). Let d(g) = g**2 + 6*g + 3. Let j be d(-6). Let y = u + j. Solve 3*b - 2*t = -0 - 6, 4*b - t + 8 = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -995*r**3*t**5 + 2*r**3*t**3 + 45*r**3*t - 2*t wrt t.\nAnswer: -19900*r**3*t**3 + 12*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1319, -2859, -5417, -8987, -13563, -19139, -25709, -33267?\n\"Answer: f**3 - 515*f**2 - 2*f - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n*n\/n**(-18)*n**(-12)\/n)**(-10\/7) assuming n is positive.\nAnswer: n**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 169?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 225 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - -1608039.\nAnswer: 1608046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ecce when four letters picked without replacement from cceececcceceecceccc?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -408, -822, -1236, -1650?\n\"Answer: -414*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:43 AM and 5:11 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.19934003 to three decimal places.\nAnswer: 4.199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 * -0.127\nAnswer: 0.127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 42452 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2795 and 43671875?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1868076 divided by -14\nAnswer: 133434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -3. Let u be (-2 + t)*(-27)\/6. Suppose 0 = -5*v + u + 1, 0 = -2*l - 5*v + 16. Solve -l*r - 2 = -7*r - s, -3*r = 5*s - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27\/(-24))\/(2\/8) - 2315\/(-926)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 18 = -3*n. Suppose 16*k - n*k = 16. Solve -2*c = -c - k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 14*y - 27. Let p(i) = 16*i - 11. Determine 5*j(f) - 4*p(f).\nAnswer: 6*f - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 28*v - 80. Let r(n) = -n - 1. Let i(c) = b(c) - 5*r(c). Let u be i(26). Let l = 0.1 + 0.1. Sort 4, 0, l, u.\nAnswer: 0, l, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - 16*w**2 + 8*w - 36. Let s be k(16). Let g = s - 86. What is the least common multiple of (18\/4)\/((-1)\/(-2)) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v**0*v**(1\/5) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3199934272 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*x - 2*x**2 + 0*x + 2*x - 2*x**2 + 11*x**2 + 161 wrt x.\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96 (base 10) to base 4\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 229889.\nAnswer: 2069001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29144*u + 5475 with respect to u.\nAnswer: -29144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - ((-7)\/(7\/2) + -1). Suppose 0 = -4*w - 3*a + 324, -188 = -h*w - 2*a - 28. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 156, 336, 518, 702, 888?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -41, -3, 255, -5, 10 in descending order.\nAnswer: 255, 10, -3, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 smaller than 12895\/146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 13, b: 3}. Give prob of sequence rb.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(-4*-1*sqrt(5)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02625412 rounded to 3 dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7862?\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1 + -1 + sqrt(5))*5 + 4*(sqrt(80) + 1 - sqrt(80) - (sqrt(320) - (sqrt(320) - 1*sqrt(320)))))**2.\nAnswer: 644*sqrt(5) + 2361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2457426 times -0.3?\nAnswer: -737227.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(320) + sqrt(320) + 0 + sqrt(320) + 1 + -4 - (sqrt(25) - sqrt(3025)*1)\/(sqrt(5) + (sqrt(5) - sqrt(400)\/sqrt(5)))).\nAnswer: -6 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.6 and 5.96.\nAnswer: -27.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -684*l + 21948 - 3968 = -151*l + 47*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, -0.1, 2\/3911?\nAnswer: 2\/3911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-3)\/((g*g**3)\/g))**19)**(-9\/8) assuming g is positive.\nAnswer: g**(513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -5*t + 724, -2*t = o - 757 + 30. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gpgpphg. Give prob of picking 2 p and 2 g.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from -272111.18.\nAnswer: -272108.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbwwbbbsbqcssnbs. What is prob of sequence nbwb?\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 257814.2 and 1.\nAnswer: 257814.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 PM and 8:32 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4477 > -7146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -18*((-16)\/6)\/2. Suppose 2*p - 92 - l = 0. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2988 or -2986?\nAnswer: -2988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-67 - (-2 + (1 - 4) + 1)) + 1 - -12.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5473.9 * -4.\nAnswer: 21895.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6838343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 5*p - 37 = 5*l, 4*l = -4. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1931520 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = -3*p - 92 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 14637156.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243029 is divided by 242979?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7161385 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.6799787ng?\nAnswer: 0.0000000000000006799787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 186.53?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 93251887 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66109\/292 - -303\/73. Let o = y - -223. What is i in -o*i**2 + 3\/2 + 7\/4*i = 0?\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/9 + ((9 - (-579)\/(-27)) + 17)*6?\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 14\/(-9) + 90\/405)*-138. Sort o, 56, -3 in ascending order.\nAnswer: -3, o, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/35  (b) 2\/5  (c) 0.065  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.45039415 and -28.\nAnswer: -30.45039415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -3. Suppose 10 = -o*y + 26. Solve 13 = w - 0*r - 3*r, y*r = -w - 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-24)\/(-132) + (-2)\/11. Let s be (2 - 11)\/3 - -5. Suppose 3*f = -13 - s. Put 2, x, f in descending order.\nAnswer: 2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 111, 99, 75, 33, -33?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 4*v = 184, -v = 15*w - 11*w + 169. Suppose g - 88 = 3*g. Do w and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -94*l - 1878. Let a(q) = -12*q. What is a(d(v))?\nAnswer: 1128*v + 22536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 1403 divide 5732658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 4232*q**4 + 2300*q**3 - 33231*q**2\/2 - 9200*q - 1250 = 0. Calculate q.\nAnswer: -2, -25\/92, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/72 and 79\/5220?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 4:03 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 4*f - 184, 2*f + 8 = 5*h + 100. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121) + sqrt(121) + -1*sqrt(121)*6 + sqrt(121))\/(-4*sqrt(33)\/sqrt(3) - sqrt(11)).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 - 11. Suppose -26*z = -24*z - 124*z + 488. Sort l, -5, z.\nAnswer: -5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 78?  (a) -2.4  (b) 5  (c) 1\/2  (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 18*v**2 - 43*v + 30. Calculate u(20).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*u**3 + 36*u**3 - 16*u**3 - 92*u**3 + 66*u**3.\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 3*f**2 + 5*f - 3. Let o be c(3). Let n = -4719 + 4722. Suppose o = -r - n*r. Is -4 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605)*-1 + 1 - sqrt(605))**2.\nAnswer: -44*sqrt(5) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*(u\/(u\/(((u\/(u\/(u\/((u**(-2\/19)\/u)\/u*u*u))))\/u)\/u*u*u))*u)\/u)\/u**(-2))**(-1\/21))**(-47) assuming u is positive.\nAnswer: u**(1222\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(6\/(-33)) - -2. Let k be -7 - 6\/q*-3. Let w be 3\/k - (-76)\/3. Calculate the highest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103321302 + 2?\nAnswer: 103321304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -31 + 22. Which is the nearest to q?  (a) 3\/2  (b) 3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -27562, -27560, -27558, -27556, -27554, -27552?\n\"Answer: 2*q - 27564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*q = -194*q - 1540 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26568696 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1)*(3 - 5*x - 3).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 115 + (-12 + 10 + 3 + 12 - 12)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + -1 + -1 + (-133 - -33).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*-2)\/sqrt(9) - (sqrt(12) + sqrt(24)\/sqrt(2)*1))\/((2*sqrt(726) - sqrt(726) - sqrt(726)) + sqrt(726) - 2*sqrt(6)*1).\nAnswer: -4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {w: 5, l: 2, y: 2, a: 2, v: 1, q: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9 + 16. Suppose 12*r - 33 = 135. What is the remainder when p is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7357*w**2 - 18918*w + 3153. Let y(v) = 2*v**2 + 6*v - 1. What is j(m) + 3153*y(m)?\nAnswer: -1051*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 487 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11048710 and 227365?\nAnswer: 408802270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p - 16*p = 8. Let k(i) = i**2 + 4 + 15*i**2 - 15*i**p. Let w(r) = r**2 + 8. What is 5*k(n) - 3*w(n)?\nAnswer: 2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30988, -61901, -92814, -123727, -154640?\nAnswer: -185553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -978 + 1553. Is 575 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 2*x - 26. Let j be o(15). Solve -j*s = -0*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -14*i - 16. Let f(s) = -3*s - 3. Let w(o) = -22*f(o) + 4*p(o). Let d be w(1). Solve -3*t - 4*u = -t - 14, -t - 3*u + d = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39962 by 3.\nAnswer: -39962\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 31974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -1 + -18 + (13 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4352)\/(-36))\/(-34) + -2*(-4 - -2)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113*r - 7*r**2 + 113*r + 6*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 5. Let b(u) = -3*u - 14. Let s be b(-5). Sort 5, s, j in descending order.\nAnswer: 5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 49*i + 3036 = 0. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + b = -4*w - 24, -4*b - 2*w - 24 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1*1)\/(1\/(-5)). Suppose k = 3*u - 64. Suppose 25 = 4*o - 23. Calculate the remainder when u is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12899899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 38360*u**3 - 2*u**2*w**3 - w**3 + 252931*w**2 wrt u.\nAnswer: 115080*u**2 - 4*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1 + (-6 - 2)*(-13)\/2 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-12)*r\/((r\/r**(-24))\/r)*r)\/(r**(-21)*(r*r**(-10))\/r) assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000231761 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2 - -3)\/((-654)\/131 + 5)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 6 = -8. Let t = l - -9. What is the lowest common multiple of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2019760 and 20320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, s: 13}. Give prob of picking 3 s.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.4 - 4. Sort 2, r, -0.3 in decreasing order.\nAnswer: 2, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -1. Let m = t + -13. Let b be m*15\/(-6)*(-12)\/15. Sort -4, b, -3 in ascending order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 58\/(-10))*(-5)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6120 and 22491.\nAnswer: 899640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 504267350 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12093*l = 12068*l + 425. Let c(a) = a**3 - 15*a**2 - 21*a - 41. What is c(l)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 less than 18?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 2*a**2 + 1. Let o(p) = p**3 - 6*p**2 + 4*p - 29. Let d be o(6). Let n(u) = -2*u**3 + 5*u**2 + 2. Calculate d*s(t) + 2*n(t).\nAnswer: t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -4*q - 6. Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 12. Suppose d*l = 3*l. Solve l*z = z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 1. Let v(m) = -m + 12. Let h(r) = -4*d(r) + v(r). What is h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 11:07 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -24*82747.1\nAnswer: -1985930.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62100 and 1104.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -8, 1091419, 0 in increasing order.\nAnswer: -12, -8, 0, 1091419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3331 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 901450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3 - 3\/(18\/(-30)). Determine h so that -16*h + m + 4*h**3 + 3*h**3 + h**3 + 10*h**2 - 10*h**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 - 3*o + 1. Let r(m) = -m**2 + m - 1. Determine i(g) + 2*r(g).\nAnswer: -3*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15494 and 8.\nAnswer: 61976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4673 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 975, 3890, 8747, 15546, 24287, 34970, 47595?\n\"Answer: 971*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 11*w**3 - 4*w**2 - 2*w + 1. Suppose -x - 1 - 2 = 0. Let d be o(x). Is ((-6)\/(-12))\/((-1)\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 92*s**2 - 33*s + 105. What is the remainder when l(3) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 6 + 0*o**3 + 7*o**2 - 2 + o + o**3. Let m = 544 + -536. Suppose 126 = -10*l - m*l. Give k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 40167171 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1479 - 3*o**2 + o**2 - 1499 + 240*o**4 wrt o?\nAnswer: 960*o**3 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453239119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 393783.362 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89476562*j**2 + 8*j**3 - 89476562*j**2.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4\/7, 14.1, 5, 2, 1\/4 in decreasing order.\nAnswer: 14.1, 5, 2, 4\/7, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 - 0. Let f(u) = 37*u**2 + 1. Let j be f(-1). Let b be (-2)\/(-4) + j\/4. Solve k = -o + 3*o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x + 15*x - 6*x - 53597 - 6*x.\nAnswer: 14*x - 53597","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 197*q + 459*q + 202*q - 229 - 18*q - 1153 with respect to q.\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 at least -1656.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 135\/(-426)*1\/(-10). Let i = t - 13269\/1988. Let m = -3\/374 - -2719\/935. Find the common denominator of m and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*f = 0, 0 = -5*f + f - 4. Let z(u) = -2*u - 1. Let y(a) = -1. Let n(k) = v*y(k) + z(k). Determine n(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13312020 (base 4) in base 2?\nAnswer: 111110110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 67 = -13*t - v, -66*t + 23 = -127*t + 59*t + 3*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 567 = -8*q + 2911. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**2 - 15*f + 3. Let n be g(-8). What is the fourth smallest value in -0.2, 4, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 706119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12*(2\/7 + (-2)\/(-42)). Let k = 7 - 1. What is the remainder when (-226)\/(-3) + t\/k is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54905.\nAnswer: 5, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 1. Suppose 4 = 2*r + 10. Which is the closest to r?  (a) 4  (b) 1\/5  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 - 256 = -9*l. Suppose 5*b = -2*p - l, -12 + 33 = 3*p - 3*b. Let i be 45625*(p\/(4\/642) - 1). Round i to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 2\/15  (b) -3  (c) -1\/4  (d) 4.3  (e) -75  (f) -531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*u*z**2 + 7*u - 494*z**2 - 1 with respect to u.\nAnswer: 15*z**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 315816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 15, 5\/6, -3\/8, 2, 5, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/8*0\/7. Suppose -60 = -2*z - 3*z. Solve -z = 4*g - m*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9266*f**2 - 586981*f**3 + 9266*f**2 + 122200*f**3.\nAnswer: -464781*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -3*c - 766, 0 = -o - 0*o - 5*c + 409. Suppose 772 = 4*t + l - o, -4*l + 309 = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0926 + -0.1426. Put -2, 0.03, w, -0.5 in decreasing order.\nAnswer: 0.03, w, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 612243?\nAnswer: 3, 59, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2781 (base 9) to base 11\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/99 and 73\/1562904.\nAnswer: 17191944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25926 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 258985 and 42730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -104*s**3 + 68 - 12*s - 10*s**2 - 899*s**4 + 906*s**4 + 10*s**2 wrt s?\nAnswer: 84*s**2 - 624*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -951904*p - 7381 + 8*p**2 - 4826 + 951904*p.\nAnswer: 8*p**2 - 12207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 107018 and 876.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 254 and 181.679?\nAnswer: 46146.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 0. Let r = -77 + 82. Let f be r*(-2)\/(-4) - (-1)\/(-2). Solve -f*o = w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 0. Let r = 9 + -4. Put j, 0, r in decreasing order.\nAnswer: r, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3408 + -3397. Let v(o) = 7*o - 83. Calculate v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pjpppppppppppppppppp. What is prob of picking 1 p and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -11*f - 33. What is o(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1211110 (base 3) to base 9\nAnswer: -1743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1. Let k = -0.3 + z. Let w = 10 + -10.1. What is the closest to w in k, -1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 127*i**3\/6 + i**2\/2 + i. Suppose 654 = v + 653. Does 32 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -246675965 divided by -49335193.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (((-1)\/(-1) - 0)*23)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = a - 54. Suppose h = -3*w - 9, 4*h + 3*w + a = -0*w. Let d = 92 + -96. Sort 5, d, h in decreasing order.\nAnswer: 5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 21*m**2 + 10*m + 26. Is 19 a factor of q(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 2*j = -2*j - 152, 4*h - j - 194 = 0. Calculate the remainder when h is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b + 7. Let t(v) = -v**2 - 2*v - 14. What is -5*p(a) - 3*t(a)?\nAnswer: 3*a**2 + a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -16*i**2 - 30*i - 45. Let l(y) be the second derivative of y**4\/4 + y**3 + 9*y**2\/2 + 6*y. Let h(t) = 2*d(t) + 11*l(t). Factor h(w).\nAnswer: (w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7797, -23665, -50109, -87129?\nAnswer: -134725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 946 - 866. Calculate the remainder when l is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from eeeseseess?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27.012 + 0.056. Let l = -27 - k. Let f = l - -0.434. What is f rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2955, -2989, -3045, -3129, -3247?\n\"Answer: -h**3 - 5*h**2 - 12*h - 2937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5997?\nAnswer: 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w + 6. Let h(v) = 7. Let m(n) = 4. Let o(y) = -3*h(y) + 5*m(y). Let l(u) = -6*o(u) - x(u). Give l(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -4*y**2 + 22*y - 10. Let a be d(5). Solve -3*h - 3 + 6 = a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31 - -36. Solve 4*w = 4*s + 4, -m*s - 4*w = 3 - 34 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 0*w - 9. Let o = w + -3. Is 4 a factor of (16\/o)\/((-2)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 1. Suppose 0*w - 2*w + 2 = 0. Find the first derivative of -3*b**2 + h + 2*b**2 + w wrt b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-16)*-14 - 22\/(-88). Suppose -i = -0*i - 3. Solve g - 17 = -i*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.08 - 11.08. Let n = 4 + 8. Let p = q + n. Which is the closest to 0.2?  (a) -4  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -u**8\/43680 + u**7\/16380 - 5*u**4\/12 - 8*u. Let v(h) be the third derivative of l(h). Factor v(q).\nAnswer: -2*q**2*(q - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -343*j**2 + 3*j + 8. Let q be r(3). What is q rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8956463 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 236381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -28*y - 33*y + 117*y**2 + 61*y + (5 + 9 - 16)*(-5*y**2 + 4*y**2 + 3*y**2).\nAnswer: 113*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1150329.\nAnswer: 3, 307, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/sqrt(64) - sqrt(11))*4.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from {r: 1, z: 1, b: 2, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2770909?\nAnswer: 1367, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -4104*y**2 + 10*y + 3982. Let d(g) = -2050*g**2 + 6*g + 1991. Let i(c) = 5*d(c) - 3*z(c). What is the derivative of i(h) wrt h?\nAnswer: 4124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 5) + (-4 - 0) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**2 - 176793*p - 1173312.\nAnswer: -4*p - 176793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 + 12810*g + 2612025.\nAnswer: -3*(g - 4465)*(g + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4989 is divided by 119.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 15) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 820033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -105*x + 2311. Let c be d(22). Is 54\/25 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 - 12*h**2 + 27*h - 14. Give i(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -33*x - 148. Let u be a(-11). Suppose -3*o - u = -812. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3852.5325 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of -g**4\/6 - g**3\/2 + 3*g**2\/2 + g. Suppose 0 = -3*x - 2*x + 20. Suppose -u + 1 = x. What is f(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -93 + -20?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206123 is divided by 1927?\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -96219, -384857, -865919, -1539405, -2405315, -3463649, -4714407?\nAnswer: -6157589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*n, -1291 = -5*c + n + 2*n. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 63, 193, 445, 861, 1483?\nAnswer: 2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -h**5\/35 + 73*h**4\/21 - 680*h**3\/21 - 2597*h. Factor o(c).\nAnswer: -4*c*(c - 68)*(c - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.7 + -0.3. Let q = -3 - c. Let f = q - 0.99989. What is f rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 11:21 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 636 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 4 = 5*w + 3*h, -2*w + 4 = 3*h. Let m = 6 + w. Factor -i**2 - 2*i**3 - 3*i**m + 10*i**2 - 8.\nAnswer: -2*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 2040 = 7*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5355.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x**2 + 6*x + 1. Let b(i) = -11*i**2 + 18*i + 2. Let d(a) = -3*b(a) + 8*j(a). Let q be d(6). Let u = 30 + -28. Is q less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -48.7 in 1, -2, -1\/3, -6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -860480*r = -860589*r - 4578 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x**2 + 2*x. Let m(t) = 6*t**2 + 3*t. Let w(z) = -4*m(z) + 5*q(z). Factor w(d).\nAnswer: d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, -1922, -139 in decreasing order.\nAnswer: 0, -5, -139, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4 - 967*c**3 - 233288*c**2 + 234256*c = 0. What is c?\nAnswer: -484, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24*(12 - (-2299)\/(-190)). Let h = 38\/7 - 356\/63. Which is the second biggest value?  (a) h  (b) 2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 33 = 4*c - 105. What is the highest common divisor of c and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kskskshsckhkdsce. What is prob of picking 1 h, 1 s, and 1 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -4*o**2 - 1113*o + 6823. What is g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 10*c**3 - 2*c**2 + 3*c + 9. Let x(y) = -20*y**3 + 4*y**2 - 7*y - 20. Give -9*p(j) - 4*x(j).\nAnswer: -10*j**3 + 2*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6617601 millilitres to litres.\nAnswer: 0.0006617601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (735\/(-525))\/(1771\/(-330)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*5*-3*(sqrt(300)*-1 + sqrt(300)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 34893690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101011000010110000111011110 - -1?\nAnswer: -101011000010110000111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14711 + -44914\/3. Let c = b - -266. What is the common denominator of c and -1 - (-12)\/(-11)*1?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**13\/o**(-14))**(-44) assuming o is positive.\nAnswer: o**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2815161 divided by -1.\nAnswer: 2815161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1058 - 5*i**2 + 1058.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -77?  (a) -7  (b) 2  (c) -0.052  (d) -20\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 9058182 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1415?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 318.01269 and 7?\nAnswer: 2226.08883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.0029 + 0.9029. Which is smaller: u or -2\/4323?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 16 - 11 - (9 + -1). What is the nearest to -0.2 in r, 24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9354*m**4 - 3*m - 11*m**3 + 3 + 4*m + 2*m**2 - 4*m**3 + 9357*m**4 to z + g*m**3 + r*m**2 + b*m + i*m**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 13. Suppose -q*h + 253 = -11. Let z be h*(1 + 0\/2). What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 35912 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 122631, 122637, 122643?\n\"Answer: 6*f + 122625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {n: 2, d: 1, g: 1, k: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -46\/1655 and 37\/2237380.\nAnswer: 740572780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2701 and 25101318?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1078 - -36?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (149*h + 2 - 735*h + 141*h)*(2 + 0 - 1) as b*h + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 7465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 20*o + 32. Let b(v) = -2*v**2 + 21*v - 32. Suppose -3*d = -3 + 9. Let r(w) = d*k(w) - 3*b(w). Is 7 a factor of r(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (5 - 3) - (1 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 19*h - 6. Let r be y(6). What is r rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i + 27. Let j be q(0). Let y = j + -19. Suppose -4*d - 2*k = -64, -4*d + 4*k = -0*d - 40. What is the remainder when d is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -452 - -1113364?\nAnswer: 1112612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 0*v + 8 = 4*v, -3*k + 5*v + 14 = 0. Let i = 8 - k. Suppose i*n = 53 + 42. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7336173\/312 + 4 + 1*(-70)\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/807 and 59\/8070.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2*-82450886\nAnswer: -164901772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -32 in decreasing order.\nAnswer: -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-10))\/(3\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 9*p + 9*p**3 - 9*p**3 + 2*p**2 - 10 + p**3 + 7*p**2. Let o be j(-7). Let m = -22 + o. Solve -2 = n + 2*v - 3, -m*n + v - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, -3, 0.1, 0.09.\nAnswer: -23, -3, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.303 + 1.303. Which is the smallest value?  (a) l  (b) 2\/25  (c) 1  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 35838, 4 in descending order.\nAnswer: 35838, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21) + (sqrt(3024)*-1 - sqrt(21)) - sqrt(210)\/(-3*sqrt(10)))\/((sqrt(300) - (sqrt(300) + sqrt(300) + -1*sqrt(300) - sqrt(300)))*3*2))**2 + 4.\nAnswer: 5527\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2 = -3*q + 5*q, 2*i + 11 = 5*q. What is the third derivative of 267*c**2 - 2*c**q + 13*c**5 + 17*c + 2*c**3 - 264*c**2 wrt c?\nAnswer: 780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -3*y**2 - 48*y + 3039. Calculate g(25).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 9*h + 15 = 0. Let z be (-10)\/(9\/h + 1). Suppose -2*l - 39 = -z*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4722047.\nAnswer: 11, 429277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -111113423 (base 5) to base 3\nAnswer: -220211020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 46\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 4:13 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 4)*(2 - 13 - 2)*(-8 + 13 + 0)*(0 + 3 - 1)*(3 - 2*z - 3) - z + 0*z + 2*z.\nAnswer: -779*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234 = 2*u + 4*z, -9*z - 240 = 4*u + 5*z - 24*z + 14*z for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 144\/118357 + 210208501\/91963389. Let h = 35318\/3219 + -314\/29. Let v = h - z. Is v smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(3*3\/54). List the prime factors of (-1)\/((w\/63)\/(-4)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20508 is divided by 163.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -1281  (c) 8  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 93853937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-15)\/(-2))*(-155)\/124.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -0.4, -8\/9, 2, 0.2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -2 + 1*((-3*(-1 + sqrt(108)))**2 + 1).\nAnswer: -108*sqrt(3) + 978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b + 5585d5?\nAnswer: 5585c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -18*x**3 + 4*x**2 - 2*x + 1. Let f(q) = 9*q**2 - 17*q**3 - 19*q**3 - 19 + 62 - 29 - 4*q - 11. Determine 2*f(m) - 5*o(m).\nAnswer: 18*m**3 - 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39*l**5 - 5*l**3 + l**2 - 123*l.\nAnswer: -2340*l**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10827492999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 0. Let n be 4 + 2*1\/2. Let u = m + n. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -2147?\nAnswer: -2146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 383154 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 358.6 - 407. Let z = p - -33.72. Let l = z - 0.62. Round l to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 641?\nAnswer: 5769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 1659 = 741. Suppose r = 30 + f. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + 44\/(-10))*-10. Let w(q) = -2*q**3 - 3. Let c(a) = -a**3 - 4. Calculate r*w(u) - 3*c(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129, 133, 139, 147, 157?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.98733 rounded to two dps?\nAnswer: -9.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 5 + sqrt(684) + 0)**2*-3 - (((-4 + sqrt(684)*2 - sqrt(684)) + 4 + (1 + sqrt(684) - sqrt(684)) + sqrt(684))**2 + -2).\nAnswer: -4934 - 276*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18283 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 202 and 88?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 2*q**2 + 3*q - 13. Suppose 24 + 31 = -5*p. Let d be h(p). Suppose -3*a - m - 60 = -d, -m + 92 = 2*a. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h**5 + 12*h**4 + 11*h**2 + 21*h + 1400. Let a(b) = -b**5 + b**4 + 6*b + 3. Let c(j) = -4*a(j) + k(j). What is the second derivative of c(s) wrt s?\nAnswer: -20*s**3 + 96*s**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 508 or 518?\nAnswer: 518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6041 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1000101010011011 (base 2) to base 3\nAnswer: -1210200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (-146)\/(-511) - (-2180)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**3 + 2740*v**2 + 470592*v + 467856.\nAnswer: 4*(v + 1)*(v + 342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**5\/9 - 66*p**4 - 1793*p**3\/9 + 394*p**2\/3 + 7156*p\/9 + 1592\/3 = 0.\nAnswer: -2, -1, 2, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14610, 29274, 43940, 58608, 73278?\nAnswer: 87950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -12*l - 6. Let j be c(-3). Suppose -j + 14 = -8*k. Solve -2*x = -4 + k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3837464.\nAnswer: 2, 73, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -77, -85, -97, -113?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 19*c**2 - 6*c*w**2 + 401*w**2 wrt c?\nAnswer: 38*c - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.335 - -4.335. What is the closest to 1\/2 in p, 38, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7302*y**2 - 11*y**3 - 7302*y**2 - 2*y + 2*y.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1525 + 3047 + 144*w - 1522 - 20*w.\nAnswer: 124*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(3*sqrt(190) - sqrt(190)))\/(sqrt(100)\/sqrt(160)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 11. Suppose q = 7*w - 9*w. Is 25 a factor of 25\/(w\/(-1))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p**2 + 12*p**2 - 3*p**2)*(0 - 2 - 1)*(-2 + 0 + 11).\nAnswer: -378*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of 2\/3*g**3 - 19*g - 1 - 75\/2*g**2. What is the first derivative of s(k) wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -337 less than or equal to -309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzzo when four letters picked without replacement from zsqqqzqqqqqqoq.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*((5 - 5) + 3\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5933695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 4*r + 13. Let u be l(-4). Suppose -u*j = -58 - 72. Let o(i) = i**3 - 3*i + 2. Let g be o(2). What is the greatest common factor of j and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*k + 3. Suppose -q + 3*q + 2 = 2*g, k*g + 5*q = 35. Solve g*z + x = 0, 5 - 2 = 2*z + x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/1680 and 51\/1456.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3655605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-36)\/10*60\/(-18). Let a be 0*6\/i*-1. Solve 0 = -5*v - a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -39b36?\nAnswer: 39b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/154, -0.3 in descending order.\nAnswer: 3, -1\/154, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -5, 4, 5, -7894?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x - j = -15*x + 17448, 3*j = 0. List the prime factors of x.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1096.7555 to the nearest 10.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 17096235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -187 in 8, -5, 1, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 364*l + 168.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12383 + -12380. Let y(l) = -l**3 + 3*l**2 - 6*l - 1. Let u be y(5). Sort 2, u, w in ascending order.\nAnswer: u, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 786\/18 + (-3)\/(-9). Suppose 0 = -6*z - 32 + u. Solve -z*v - 10 = -5*q + 3, -v - 1 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 2*m**2 + 5*m + 9. Let k be l(-3). Suppose 2*h + 1 + k = 0. Is -1\/143 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -73039 and 1.1.\nAnswer: -80342.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*b + 28 - 117 = 0, -5 = -b. Let a = -70 - d. Solve 3*t + a = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 995\/176 - 49\/16. Calculate the common denominator of 83\/12 and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*(5 + 1 + sqrt(1539) + -5)*6)**2.\nAnswer: 10368*sqrt(19) + 887044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnmnumuindhuindhn. What is prob of picking 1 n and 1 d?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 884, 0.7, 1\/20?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 2, -128\/15 in ascending order.\nAnswer: -128\/15, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h + 5*i - 11930, -h = -5*i - 102 - 2302. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {b: 2, r: 2, g: 2, m: 1, h: 1, a: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 442 is divided by 138.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -2 - (0 - (1 + -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 12. Let c be 2\/(-5) - s\/25. Sort c, 3, -2.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*x + 2. Suppose -k = x*k - 15. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 104\/3 - 34. What is the second biggest value in -2\/15, s, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 9:28 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3106*j**2 + 12*j + 23. Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4024838094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, 26\/7, 0.3, -1, -15\/13 in ascending order.\nAnswer: -15\/13, -1, -2\/5, 0.3, 26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m + 2*m + 101 + 69 - 154*m**3 + 155*m**3.\nAnswer: m**3 - 4*m + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**2 - 5*z + 4. What is t(3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1254 and 2442.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4*x = -5002, 111*x - 112*x - 2 = 0. Round o to the nearest ten.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 17*u**2 - 17*u + 33. Let w be b(-18). What is the greatest common divisor of w and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -374 - -373.5. Which is the second smallest value?  (a) -4\/5  (b) g  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -7*a**2 - a + a. Suppose 3*n + 32*n - 1050 = 0. Let g(s) = n*s - 14*s - 24*s. Determine g(c(j)).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.8385nm in centimeters?\nAnswer: 0.00000748385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/67 or -2\/17?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -9*q - 6. What is the units digit of u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2814372 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -297676 - -297676.639895. Let u = j + -0.64. Round u to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16960\/6784)\/(1*(-1)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 144 in -11, 16, 0.6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -274.623636 + 274.6. What is f rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0*(2 - 3))\/(10 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 378809702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -158*s**3 + 2*s**2 + 14*s - 31. Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 + 68*f - 186.\nAnswer: -2*(f - 31)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 116006 and 36911?\nAnswer: 812042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 2*o = 10*l + 2, 0 = l - 5*o - 22. Suppose -8*r + 56 = 8. Suppose -4*x - 32 = -r*x. What is the least common multiple of x and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.06, -898, -5, -2\/129, -0.1?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 5*g - 96. Let j = g - 13. Let r(s) = 2*s - 1. Let t(x) = -x. Let f(c) = -3*r(c) - 5*t(c). Determine f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, 3\/8, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*s = -709 + 1459 + 2250 for s.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 54*t**4 + 2*t - 39. Let z(q) = 56*q**4 + 3*q - 39. Let p(n) = 3*k(n) - 2*z(n). What is the derivative of p(x) wrt x?\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (5 + -1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20000 + -200110?\nAnswer: -220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2480115 (base 10) to base 11.\nAnswer: 1444390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-71)\/2)\/((-17 + 11)\/132)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1205.3 minus 4?\nAnswer: 1201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3*j + 3. Let l(g) = 3*g - 2. Calculate -5*l(u) - 4*v(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 - 19*m**2 - 95*m - 60. Let o be q(-8). Sort 4, -24, o.\nAnswer: -24, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 5*x - 575, 0 = d - 4*d - x - 333. Let z = d + 221\/2. Which is the smallest value?  (a) 0.5  (b) 16  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 24 = -4*j, -5*r + 171*j - 42 = 172*j for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from {t: 13, y: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9865656 and 0.3?\nAnswer: -2959696.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 67670461 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*u - 9*u**3 - 9*u**4 - 36*u + 9*u**3 - u**2 + 11*u**4 - 2 to f + c*u**3 + x*u**2 + g*u**4 + s*u and give s.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -6*y**2. Let f(p) = -4*p**2 - 7*p. Let n(w) = -w - w**2 - 2*w + w. Let b(r) = 2*f(r) - 7*n(r). Give b(x(k)).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 882 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -21*d**5\/20 - d**4\/24 - d**3\/6 + 2*d**2 + 25*d. Determine p(-1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.21035129 - 0.21\nAnswer: 0.00035129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/32265 and -94\/75285?\nAnswer: 225855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in -2, 0, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3371647 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -971*t - 16756 = 9461 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28 - -37. Suppose -4*v = -p*v. Solve -3*b + 4*b + 3 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.13 + -0.07. Let n = 0.3 - 0.3. Let v = n - 0.1. What is the smallest value in f, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 6*g - 4*g)*(-193*g + 298*g - 269*g).\nAnswer: -328*g**2 + 656*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 1675 = 16*d - 17065. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(1700))**2 - (sqrt(612)*2)**2) + -1.\nAnswer: -745 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 833279732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 1, 0.065, -0.5, -0.012 in increasing order.\nAnswer: -0.5, -0.012, 0.065, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 4:37 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40497*0.1.\nAnswer: -4049.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 8. Let f be 2 + 0 + m + 1. List the prime factors of (f + -2)\/(-2) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824245578 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 68 and 5947382?\nAnswer: 11894764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j - 4. Let g be q(-5). Let f(t) = 5*t**3 - t**2 + 3*t - 2. Let h be f(1). Solve -3*u - h = g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12112202110233 + 12?\nAnswer: -12112202110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19310 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3298, -3065, -2696, -2209, -1622, -953, -220, 559?\nAnswer: 1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 98 and 13573.\nAnswer: 27146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15.43 - -13.43. Which is the closest to 0?  (a) 2\/17  (b) 5  (c) 0.18  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572663129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 8*k + 375 - 325, 5*k + 30 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -309 - -311. Solve -q = -c*q + o + 3, o + 9 = 2*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203*p - 704204 - 45881 = 0. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 803, 4 in decreasing order.\nAnswer: 803, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -134711 times 1134?\nAnswer: -152762274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 26*z + 294. Let f be p(-11). Which is the nearest to f?  (a) 0.1  (b) 43  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33 + 37. Sort b, 2, 5 in descending order.\nAnswer: 5, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18.06?  (a) -12  (b) 0  (c) 13  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 36777 + 20526?\nAnswer: 57525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4148 = 419*k - 963*k + 422*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3696\/(-1100))\/42 - 340\/(-1125)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57187 and 44239.\nAnswer: 1079","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10786 + 10748 + (2 - ((-1 - 1) + -5))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14395\/14 + 243463\/210. Let x = 131 - v. Which is the second biggest value?  (a) 0.2  (b) 2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -1347*q**2 - 36*q - 1737. Let a(r) = -2*r + 2. Let h(x) = 18*a(x) - g(x). Find the first derivative of h(f) wrt f.\nAnswer: 2694*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12134, -24296, -36458, -48620, -60782, -72944?\n\"Answer: -12162*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 405.38924 to one dp.\nAnswer: 405.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or 9180\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (5 - (23 + -9) - -30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1330.6 + -1330. Sort a, 4, -3, -1 in increasing order.\nAnswer: -3, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*n + 4 - 4)*(-2 + 1 - 4*n + 2*n) to the form o + m*n**2 + u*n and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2062 less than or equal to 2063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 8 = -d, q = d + 4 - 0. Let t = -11 - -8. Let m = -2 - t. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573298145 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 55, -14, -3\/2?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 285*m + 12258. Calculate w(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 5 - 2)*(0*o + 2*o + 5*o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, g: 2, r: 1, p: 8, x: 5}. Give prob of sequence rx.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 110201211211100 - -2?\nAnswer: 110201211211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -d*m*x - 3080*d*m - 4*d*x - 2*d - m*x + 2*m - 2*x + 3057 wrt m.\nAnswer: -d*x - 3080*d - x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 341468207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1626240 divided by -33?\nAnswer: -49280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -0.63?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (12 - (2 - 5) - (36 + -37)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 3*a = 375, -173 = -5*m - 5*a + 442. Suppose -o - 21 = -f, 0 = -4*f + o - 5*o + m. What is the remainder when f is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/sqrt(24)*3.\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6 - (-138)\/18)*-3. Let f(q) = q - 1. Let m(x) = -5*x + 4*x + 1 - x. Give d*f(p) - 3*m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.9, -270324, 7 in increasing order.\nAnswer: -270324, 1.9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + v + v)*(-12*v + 1 + 10*v + 26*v).\nAnswer: 24*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10311963, 10311928, 10311893?\nAnswer: 10311858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -1, -27496376?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + 31*u - 17*u + (5*u + 4*u + 8*u)*(-2 + 4 + 0) + ((3 - 1 - 3)*(1 - 4 + 4) - 2 + 0 + 1)*(-2*u - 3 + 1 + 1).\nAnswer: 51*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 12 + -82 + (5 - -96).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5050027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572137370.\nAnswer: 2, 5, 7, 41, 311, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-4 - -1)) + (-8 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4 - 4*f**3 + 38*f**2 + 40*f = 0.\nAnswer: -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297150 is divided by 362.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 8*(-4)\/(64\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2674659*l*t**2 - 1090*l*t - 3*l + 2*t - 416 wrt t.\nAnswer: 5349318*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 46, 56, 64?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/1*1 - (-8)\/1. Let f(c) = 6*c + 3. Let i(x) = 7*x + 3. Let l(y) = o*f(y) - 4*i(y). Let m(p) = 2*p + 4. Calculate -5*l(a) + 4*m(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 + 70*c + 36. Let q be u(-17). Suppose 0 = 5*i + 5*k - 1335, -5*i - 271 = -6*i - q*k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 5:43 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2*1)\/2*5\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-256)\/6)\/(5\/(-45)). Let t = m - 2315\/6. Let k = 3023\/1036 + -1\/777. Find the common denominator of k and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8740, 17473, 26202, 34927, 43648, 52365, 61078?\n\"Answer: -2*w**2 + 8739*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 138 and 2223.\nAnswer: 102258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b**2 + 4*b + 21. Let f(l) = -14*l**2 + 11*l + 64. What is 4*f(i) - 11*h(i)?\nAnswer: -i**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**5 + 0*k**5 - 2*k**5 + (6*k**3 + 0*k**3 - 4*k**3)*(-10*k**2 - 14*k**2 + 2*k**2) - 38*k**5 - 94*k + 94*k.\nAnswer: -84*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5900156 is divided by 439?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of 1\/15*k**5 - 2\/3*k**3 + 4*k**2 + 0 - 7\/24*k**4 + 0*k + 1\/120*k**6. Is d(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61037 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-9)*116\/580?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -13*t + 8*t. Suppose 2*m + 5*z + 4 = 0, -m + t*z + 16 = -4. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 556*v - 5*v**3 - 129*v - 168*v.\nAnswer: -5*v**3 + 259*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 519 + 6?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 128.5 or -21?\nAnswer: 128.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(9\/8)*q\/q**(-1\/6)*q)\/(q**(-5))**(3\/25) assuming q is positive.\nAnswer: q**(467\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (1 - (6 - (-4 - -7)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/3))**(-2\/89)*(f\/(f*f**2*f))**49*(f**(-2))**(-7)\/(f**(-1)\/f*f\/f**0) assuming f is positive.\nAnswer: f**(-35242\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 15970643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -1918965 to the nearest one thousand.\nAnswer: -1919000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 + -39. Suppose p*b + 45300 = -3*b. Round b to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -39 - -659055?\nAnswer: 659016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 5. Suppose -7 = -o*z + 5. Suppose -3*h = -4*g - 59, -h - 6*g + z*g = 2. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y**2 + 19*y**2 - 75149 + 75147 + y - y.\nAnswer: 26*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -6*w**2 + 8*w + 6. Let q = 0 - -3\/2. Let l(c) be the first derivative of -2*c + 2\/3*c**3 - 1 - q*c**2. Calculate -11*l(r) - 4*x(r).\nAnswer: 2*r**2 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by ((-5)\/(-3))\/(4\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 3. Let h(r) be the third derivative of r**2 + 0 - 1\/120*r**5 + 0*r**3 + 0*r + 1\/96*r**a + 1\/480*r**6. Factor h(w).\nAnswer: w*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 - 219 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 22. Let f = 30 - z. Calculate the remainder when 17 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4 = b, -4*b + 4 = 3*p + 20. Suppose p*a + 15 = 5*a. Solve y + a*y - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100000010010011001 (base 2) to base 8\nAnswer: -402231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7506 and 734754?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -89902, -89801, -89700, -89599, -89498?\nAnswer: -89397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/2 - (-29)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/((-12)\/50)*-6. Suppose -a - 16 = -o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((22*q - 22*q - 13*q**3)*(0 - 1 - 1) - 2*q**3 + 5*q**3 - q**3)*(4*q + q - q)*(-2*q - 2*q + 7*q).\nAnswer: 336*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9.4 + 8.9. What is the second smallest value in o, 0, -2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (182\/42)\/(1\/45). Suppose -26*b + r = -23*b. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -79 - -79.2. Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -258\/7 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 + -4 + 43 - (1 - (0 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1650768?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24262980 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 164.068 take away 6079.8231?\nAnswer: -5915.7551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -320, -293, -266?\n\"Answer: 27*m - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -478.6 and -439487970?\nAnswer: 439487491.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 8*h**2 + 16*h - 2. Let a be w(2). Let m(k) = k - 2. Let y be m(-3). Let j = a + y. Does j = 59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence om when two letters picked without replacement from omllom?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-15)\/((-450)\/312))\/((-4)\/(-50)) and 305?\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 2*h**2 + 3*h + 15. What is k(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2411 divided by 2.\nAnswer: 2411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121004 (base 5) to base 8.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 4149?\nAnswer: 4149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of 275*i**6\/6 + i**2 - 91*i - 322. Find the second derivative of r(a) wrt a.\nAnswer: 5500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 59921*h*z**3 - 4*h - 7452 wrt z.\nAnswer: 179763*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3218 = 4*d, 3*c - 7*c + 6448 = -4*d. Suppose 3*r - 2152 = 2*j - 6*j, -3*r = 3*j - c. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e6 (base 15) in base 8?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -k - p + 12, 2447*k - 36696 = 10*p - 13*p for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 + 56?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5368355*b*h**2 - 600*h**2 + 431 wrt b.\nAnswer: -5368355*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 35*b**3 + b**2 - 3*b + 2. Let l(r) = -70*r**3 - 2*r**2 + 7*r - 5. What is -7*c(f) - 3*l(f)?\nAnswer: -35*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1252)\/(-6573) + 2\/14. What is the biggest value in -33, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23238 - 23237.99979819. What is k rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130280881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 122200?\nAnswer: -122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 65024590, 130049181, 195073772, 260098363, 325122954, 390147545?\n\"Answer: 65024591*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7558\/7 - 1078. Calculate the common denominator of u and -19\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -110211157 - 1?\nAnswer: -110211160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2247 - 15725\/7. What is the smallest value in c, -0.5, 2\/9, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*p = 47*p + 14200 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -76.0656 - -76. Let h = -0.05945 - a. What is h rounded to 4 decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 5*r + 2*r**2 + 0 - 1\/6*r**3. Let m be f(5). Which is bigger: -2\/7 or m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (367 - 413) + (14 - 8)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -3. Suppose -4*m + 66 = 2*g, 4*g - 158 = m + q*m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2, -1, 20, 67, 146?\n\"Answer: n**3 + 4*n**2 - 18*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*j**2 - 3*j**2 + j**2)*(j**2 + 1 - 1) + (-3*j**3 - 3*j**3 + 2*j**3)*(-j - 3*j + 6*j) as y*j + g + r*j**4 + a*j**3 + b*j**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 289652 - 191652. What is d rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*c**2*g**3 - 81*c**2 + 2*c*g**2 + 2*c*g - 2*g**4 wrt g.\nAnswer: 216*c**2*g + 4*c - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -284 + 262 - 19*g**3 - 222 + 244 + 2*g.\nAnswer: -19*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8205, 32818, 73839, 131268, 205105?\n\"Answer: 8204*s**2 + s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321*m + 35 = -314*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-120)\/(-480) - (26391\/4)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 210402003 + 2?\nAnswer: 210402010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 5, 134, -1 in decreasing order.\nAnswer: 134, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 2\/397 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1263 - -101?\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 497706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -12, -3*f + 3*p + 320 - 83 = 0. What is the remainder when f is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7 - (-1 + 5))\/(4\/(-112)). What is the greatest common divisor of c and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15881 + -35?\nAnswer: -15916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b, 2*b + 0*b = 4*h - 9692. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2780695 - -44\nAnswer: -2780651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 518*u**4 - 207*u**2 - 4*u**4 - 360*u**2 - 91*u**2 wrt u.\nAnswer: 12336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) 1284  (c) 5\/7  (d) 476\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -6, -168, 8, -4, -13 in decreasing order.\nAnswer: 8, 5, -4, -6, -13, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46895.\nAnswer: 5, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.275034 - 0.52.\nAnswer: -0.244966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -61 + -2?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.22 + 0.08. Let w = -0.491 - -0.091. Which is the third biggest value?  (a) -1  (b) w  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*i**2 - 30*i**5 + 64*i**5 - 31*i**5 + (i**3 - 6*i**3 + 2*i**3)*(2*i**2 - 5*i**2 + i**2).\nAnswer: 9*i**5 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 520 and 360.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -696*i**2 + 353*i**2 + 347*i**2 - 16 + 7*i wrt i?\nAnswer: 8*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 137*s**2 + 237*s**2 - 554*s + 1098*s - 544*s - 191*s**2.\nAnswer: 183*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -6544 + 592 + l + l**2 + 0*l. Let r be b(0). Let n = r - -47707\/8. What is the common denominator of 32\/11 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 69*y**3 - 3*y**2 + 6*y + 1. Let r(s) = 207*s**3 - 9*s**2 + 17*s + 2. Let n(b) = -11*c(b) + 4*r(b). Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.61 - 5.01. What is the third biggest value in 0, 11, 1.4, s, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6857 + 7486. Calculate the highest common divisor of w and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -32  (b) 0.2  (c) 2  (d) 289\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -1171782*b. Let u(x) = -8*x**2. Determine u(c(n)).\nAnswer: -10984584444192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(-2*i**2 + 2*i - 2*i) + 5*i**2 + 0 + 0 + (-4*i + i + 2*i)*(-2*i + 1 - 1) + 4 + 8*i**2 - 4.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q + 14. Let g be t(-9). Suppose -141 = g*o - 51. Let v = 43 + o. Solve 0 = 5*h - i + 3*i + 25, 5*h = -i - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 121.568161 - 236.568084. Let q = 41 + -156. Let w = l - q. What is w rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence an when two letters picked without replacement from wniai?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12681 + -12679. Solve 5*h + 4*u = 9, 4*h - w*u + 32 = 34 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*2*5\/20*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5452786 + -53851812. Let s be -9*o\/351 + (-4)\/6. What is s rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -5*l - 5*k, k - 34 = -3*l - 12. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15 - -30 - 20) + 3*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85 + -85 - (2 - -6) - 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j**2 + 4*j**2 - 3*j**2 + 2*j)*(15 - 3 - 2) to the form l*j + p + k*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.6, 3, 4, -2\/31, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6093.2 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a factor of 60036240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 196*k + 63. Let q(z) = 199*z + 63. Let b(s) = 6*f(s) - 7*q(s). Let m(h) be the first derivative of -7*h**2\/2 - 2*h - 17. What is 2*b(w) - 63*m(w)?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.287 - 1.21. Let j = 0.223 + g. Which is the fourth biggest value?  (a) -5  (b) j  (c) 0.5  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-14)*1482\/(-19) + -6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -2*l**4\/23 + 294*l**3\/23 - 1434*l**2\/23 + 1994*l\/23 - 852\/23 = 0.\nAnswer: 1, 3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60548*g**2 + 181649*g**2 - 60556*g**2 - 60534*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 63 + -4?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 - 15*l**2 - 31*l - 56. Let o be f(17). Which is greater: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1774711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/6 and 59\/1088?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of i**4\/12 + i**3 - i**2 - i. Suppose f + 11 = -0*f. Is k(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**2*c**3 - 4*b**2*c - 2*b*c**3 + 2*b*c**2 - 36*c**4 + 9*c**2 wrt c.\nAnswer: -12*b**2 - 12*b - 864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1131983118?\nAnswer: 2, 3, 7, 8983993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1027650908 to the power of 1\/3, to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 34 + 80. Let z = o + -111. What is h in -4*h**2 - 4\/3*h**z + 0 - 8\/3*h = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -2*w - 21 - 12*w + 13*w**2 + w**3 - 7*w. Is y(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 + (-5 - 21) + (-48 - 0)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8\/3 in -760, -3, -2, -3\/7, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -339285 smaller than -339284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7917 (base 10) to base 16.\nAnswer: 1eed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4006 is divided by 4006.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 2\/1662607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 174*l - 5. Let g(i) = -1538*i + 45. Calculate 3*g(u) + 26*y(u).\nAnswer: -90*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.427 and 7.\nAnswer: 6.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0 + 0 + 13*k**2 + 17*k**5 - 3*k**2 wrt k?\nAnswer: 1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -o - 3*d - 39, 4*o = -2*d + 64. Suppose o = 3*i - 192. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 9:07 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 1. Let i(u) = -6*u**2 - 11*u - 5. Let z(v) = i(v) + 5*w(v). Find the second derivative of z(b) wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 1\/60*w**6 - 1\/4*w**4 + 2\/3*w**3 + 4*w**2 + 0*w**5 + 0 + 0*w. Factor q(c).\nAnswer: 2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 184\/5 - 183\/5. Let w = 39.8 + -45. Let j = 4.9 + w. What is the second biggest value in j, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(1\/2))**(-3))**(2\/77)\/((((p*p*p*p**(-7)*p*p)\/p)\/p)\/p**(-2\/21)*(p*p\/(p*p**7*p))\/((p\/(((p*p*p**(-7))\/p)\/p))\/p)) assuming p is positive.\nAnswer: p**(4127\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 4*j**2 - 13*j + 3. Let t(f) = -f**2 - f + 1. Let s(o) = -d(o) + 3*t(o). What is the second derivative of s(a) wrt a?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 6 = 2*b. Let d be 2 + 0 + (6 - b). Find the second derivative of 2*n + d*n**3 + 2*n**5 - 5*n**5 - 2*n**3 wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4347383 divided by -4\nAnswer: -4347383\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*b**2 + 3066*b - 1544*b - 1522*b.\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/(-6))\/((-2)\/6). Suppose 2*w - 3*c - c = 4, 17 = k*w + 5*c. What is the second derivative of -w*x + x - 15*x + 8*x**3 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -78  (b) -6  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s - 16*z + 15*z + 11, 4*z = -5*s + 51 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 579 + 117 = 0. Let w(j) = 3*j**3 - j**2 - 2*j + 2. What is the remainder when u is divided by w(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 123, 253, 393, 543?\n\"Answer: 5*s**2 + 115*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3023*u**3 - 9*u**2. Let l(n) = -1511*n**3 - 4*n**2. Determine 18*l(s) - 8*v(s).\nAnswer: -3014*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6382 - -9827. List the prime factors of x.\nAnswer: 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 169*c**2 + 55*c + 59. Let u be l(-3). Is 1417 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 2*h**2 + 3*h + 14. Let r be t(-3). Let b = -9 + r. Differentiate -b - j - 2*j - 13 + j wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 4*j. Let y be c(-6). Let p(v) = -v**3 - 11*v**2 + 12*v + 2. Let k be p(y). Is (k\/(12\/(-10)))\/(36\/(-54972)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1ce (base 15) to base 8\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 59544561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1513842521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11753 or -11757?\nAnswer: -11757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**3\/3 + 1667*c**2\/3 + 6680*c\/3 + 2228.\nAnswer: -(c - 1671)*(c + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3549 or -3887?\nAnswer: -3887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11389 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: Suppose 19*f - 44 = 165. Calculate the remainder when 31 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand j**3 - 5*j**3 + j**3 + (-5*j + 450 - 223 - 225)*(-2*j**2 + 0 + 0).\nAnswer: 7*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 128 = 3*z - 2*r, 3*r = 2*z + 60. Let a be 8\/z + (-57)\/(-198). Let b = 7\/33 + a. Find the common denominator of b and -29\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20.48 + -0.08. Let s = v - 21. Are 14 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t + 5*n - 14, -2*n = -3*t - 7*n + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 6977995 = 7*m - 12*m, 0 = 3*m + 3. Round t to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 42?  (a) 4  (b) 0  (c) 0.4  (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/((t**(-1\/3)\/t)\/t*t)*t*t*t**9*t)\/(t*t\/t**2)**(-29) assuming t is positive.\nAnswer: t**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1617)*2)\/(6*sqrt(3)*1).\nAnswer: 35*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 at most as big as 162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 86, 133, 200, 293, 418?\n\"Answer: f**3 + f**2 + 23*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/((-85)\/(170\/24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 173*l + 386. Determine o(-188).\nAnswer: 3206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h**2 - 45*h + 32. Give i(-16).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2535930531.\nAnswer: 3, 37, 769, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 5.387764 kilometers?\nAnswer: 538776.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86934 is divided by 1744.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-2))**(-36))**35*(y*y\/((y**(1\/2)*y)\/y*y)*y)**(-3\/28)\/((y\/(((y\/(y*y**(-2)*y))\/y)\/y))\/(y*y**4)) assuming y is positive.\nAnswer: y**(141279\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-6)\/o*o\/o**(-4))\/(o**0*o\/(o\/(o*o*o**(2\/15)))))**(7\/10))**(-42) assuming o is positive.\nAnswer: o**(3038\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 101 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2068, 3230, 4392?\nAnswer: 5554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-9))\/((-65)\/30 - -2). Suppose 0 = l*t - 8*t - 11200. What is t rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 - 23*b + 0 to the form q + d*b and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 4*p - 5*p)*(1 - 4 + 1).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 178510*c**2*u**3 + 1683*c*u**3 - 4*c - 2*u**3 wrt c?\nAnswer: 357020*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39952, 39953, 39954, 39955, 39956, 39957?\nAnswer: 39958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1868, -1862, -1856, -1850?\n\"Answer: 6*l - 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.6 + 0.6. Let r = -5.531 + 5.5. Let z = r + 1.031. Which is the nearest to z?  (a) t  (b) 1\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.36825 * -12.5\nAnswer: 4.603125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v = -4. Let j be (12 + -15)*(0 + v). Which is the second smallest value?  (a) j  (b) -1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4803*w**3 - 44*w**2 - 4*w + 6?\nAnswer: -28818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -13 + 50 + -1 + -1. What is the second derivative of -93*g**5 + 34*g**5 - 21*g + o*g + 44*g wrt g?\nAnswer: -1180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10761, -10759, -10757, -10755?\nAnswer: -10753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 31555223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 70 + 19 + (25 - 29 - 16).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 12:57 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-25)\/10*3)\/(3\/316). Let h = w + 1265. Calculate the remainder when h is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1231933 or 1231934?\nAnswer: 1231934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 99 - 99.000835. What is x rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1102101002 (base 3) in base 10?\nAnswer: -27974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19516 and 19348?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a - 2 + 2)*(-a**2 + a**2 + a**2) + 2*a**3 - 5*a + 3*a - 5*a to the form c*a + q + n*a**2 + v*a**3 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8378731 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1711554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 3)*(0*m - 3*m + 2*m)*((3 + 4 - 6)*(2 + 1 - 4) + 2 - 3 + 3).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + 1. Let y(x) = x + 1. Let j be y(-6). Let r = j - -9. Calculate the smallest common multiple of r and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 879811 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7.84 * 56.\nAnswer: 439.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 45 + -26. Suppose z + 4*z = -3*y + p, -4*y = -4*z + 28. Solve 4*b = 7 + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -31  (b) 1\/73  (c) 1\/2  (d) 1\/3  (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -26 + -2. Let i = a - -65. Calculate the remainder when 71 is divided by i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 39. Suppose -3*m = -4*m + 11. Suppose 2*w + 1 = -3*c + m, 5*w = -4*c + 18. Calculate the highest common divisor of w and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6208475)\/(-70954) - -2*(-2)\/(-8)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**3 - p - 1 + 0*p + 0*p**3 - 7*p to w*p**2 + l*p**3 + n*p + u and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + 3*z**2 + 2*z + 4. Let c be t(-2). Solve 4*v = 4*n - 0*n - 40, v + c*n = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b5dd (base 15) to base 7.\nAnswer: 220060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1274.725 - -0.2?\nAnswer: -1274.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*w = 267*w - 4117 + 605 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000812207 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 27632*u**2 - 7*u - 33. Is h(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/284 and -99\/32?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 162 + -13?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/10 + 1\/10. Let g be 30 + -51 + 180\/8. What is the closest to -1 in -7, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 204 and -335855.2?\nAnswer: -68514460.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23138598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -3 + b + 3. Let h(o) be the third derivative of 5*o**4\/24 - o**3\/3 + 2*o**2 - 23. Let i(n) = 1. Let q(c) = h(c) + 2*i(c). What is q(m(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 - 11*b + 68. Let j be d(-15). Suppose 8*l - j = 24. Let n = 1559\/553 + 3\/79. Which is greater: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.226427 micrograms to tonnes.\nAnswer: 0.000000000003226427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2650?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -1  (b) 3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of u**4\/6 + 9*u**3 - 28*u**2 - 110*u + 56. Let f(j) be the first derivative of t(j). What is m in f(m) = 0?\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123*g - 46 = -3*z + 121*g, 2 = z - 2*g. Let m(n) be the second derivative of -1\/24*n**4 + 0 - z*n + 2*n**2 + 1\/6*n**3. Determine l so that m(l) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31191463 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 2695470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*t + 0*t + 8*t - 2)*(444 + 252 + 12 + 376) as k + p*t and give k.\nAnswer: -2168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4 = 2*p. Suppose a = -l, l + p*l - 6 = -3*a. Suppose 5*n = -4*y + 68, 2*y + l*y - 64 = -n. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 58\/5, 44\/897, -1 in decreasing order.\nAnswer: 58\/5, 2, 44\/897, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y + 3. Let w be b(6). Which is bigger: w or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 27 - 11. Let k(r) = -r**2 - 10*r - 8. Calculate the lowest common multiple of k(-8) and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l + 96. Let c be k(12). Suppose -52*u = -61*u + c. Solve u = -4*r + 4*o - 12, -2*o + 8 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14224366.\nAnswer: 2, 13, 107, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 470 is divided by 44.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*a**3 - 56*a**3 - 193*a**3 + 52*a**3 - 137*a**3.\nAnswer: -357*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (21\/(-14))\/(2\/(-4)). Suppose 3*a + 0 = u. Let b = 5 + a. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-33)\/4 - (-1)\/4. Let x(h) = -h**3 - 7*h**2 + 2*h + 7. Let s be x(n). Suppose -2*b = 3*b - s. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -3 + 18, 12 = f + 3*n. Let h(x) be the second derivative of -8*x + 1\/12*x**4 - 1\/2*x**2 + 0 + 0*x**f. Determine h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k. Let z(b) be the first derivative of 0*b + 301\/2*b**2 - 20. Calculate z(g(d)).\nAnswer: 301*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -23, 22, 135, 322, 589, 942, 1387, 1930?\n\"Answer: m**3 + 28*m**2 - 46*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*c + 10*c - 21. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 7:58 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-87)\/72 - 6\/9. Let d(t) = -3*t - 25. Let q be d(-9). Suppose -14 + 12 = q*r. Is r greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y + 62. Determine n(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the second derivative of -b**4\/6 - b**3\/3 + 7*b. Factor d(r).\nAnswer: -2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 181678 and 77862?\nAnswer: 545034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 38, -5, 7, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 1, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 511\/219*(-24)\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -65442.4 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 0*p**2 + 0*p**4 - 1\/60*p**5 + 0*p + 2 + 1\/3*p**3. Let l(g) be the third derivative of n(g). Let w(u) = -u. What is l(w(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 5*v**2 + 4*v + 4. Let x(g) be the first derivative of -g**3\/3 - g + 61. Let b(q) = i(q) - 2*x(q). Determine b(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f**2 + 6*f - 4. Let t(w) = w**2 + 5*w - 3. Suppose 18 = -13*p + 7*p. Let r = p + -1. Calculate r*t(k) + 3*v(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2\/5  (b) -3\/7  (c) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*f + 16. Let g(r) = r**2 + 18*r + 10. What is the remainder when g(-18) is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.11 - -0.11. Let i be 0 - (-4)\/(-2) - -1. Let n = 6 + -10. Which is the smallest value?  (a) z  (b) n  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l - 1925 = -2*l. Let m = 395 + l. Solve -m = -3*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 5:09 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l - 4. Let c be j(6). Suppose 5*q - c = 3*q. Let f(y) = -y**3 + 3*y + 3. Let x be f(-2). Solve w + 27 = x*z - q, 0 = -5*w + 5*z - 40 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*k - 21722, -444*n - 13042 = -447*n + 4*k. Calculate the smallest common multiple of n and 52.\nAnswer: 8684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 15, 45, 75, 105, 135, 165?\n\"Answer: 30*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/9 + 1933652*r + 4206386314242.\nAnswer: 2*(r + 4350717)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3*sqrt(77)*-4)\/sqrt(11) - (-1*2*sqrt(7) + sqrt(84)\/sqrt(12)*3))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -2*q + 20. Suppose -b + q = 2. Solve -5*c = 0, -8*c = b*y - 3*c - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6, 11, 76, 219, 470, 859, 1416, 2171?\n\"Answer: 5*y**3 - 6*y**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - -4 - -2*1. Suppose -8*n + 608 = 4*b - 4*n, -k*n = 5*b - 751. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*c = -p + 31*c - 22, -3*p - 26 = -5*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i + 8*i - 16*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -3\/8  (c) -3\/26347  (d) 1  (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 3*i**2 + i**2)*(5*i - 5*i + i) - 8*i**3 + 4*i**3 - 7*i + 5*i.\nAnswer: -2*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 300437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, 2, -10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 3*c + 43 = 0, -4*j + 44*c + 157 = 47*c. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 16) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 6) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25 + -21. Find the second derivative of -9*b + 6*b**2 - 12*b**2 + 6*b**2 + 8*b**u wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -631*k**3 - 33*k + 1260*k**3 - 623*k**3 to c + a*k**3 + h*k**2 + v*k and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1447 is divided by 1305?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6194 and -161.\nAnswer: 99.7234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 89 and 3927481?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + 112. Suppose 0 = -11*w + 25*w - q. Solve 5 = -b + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -25, -8, 13, 38, 67, 100?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 5*r**2 + r - 2. Let j be l(5). Suppose -w = j*w. Let x be (0 + 1)*(w - -3). What is the second biggest value in -0.3, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -3.3, 0 in decreasing order.\nAnswer: 0, -3.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/16*(-4)\/6. Let j = -40 + 39.7. Is j greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -819252008*y - 1 + 819252006*y + 1.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, k: 1, i: 2, w: 1, f: 8, z: 2}. What is prob of sequence ofki?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 14*p**2 - p + 1. Let n(l) = -l + 1. Calculate n(v) - s(v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-40)\/3 - 8\/(-6). Let l(p) = 4*p**2 - p - 4. Let r be l(-2). Let j = r + u. Solve -4 = -j*c + 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2666*y + 2690*y = 5402*y - 2254 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376 - 86 = -14*p. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 963571, 963592, 963613, 963634, 963655, 963676?\n\"Answer: 21*d + 963550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09999 rounded to 3 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (50\/35)\/(1\/14). Suppose 5*m - 55 = 5. Calculate the highest common factor of l and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-4912)\/3840 + 7\/(-168)*2?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005039 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -329*o**4 + 2*o**2 - 43*o - 9. Let j(h) = 658*h**4 - 5*h**2 + 86*h + 17. Let i(r) = 2*j(r) + 5*l(r). Find the second derivative of i(t) wrt t.\nAnswer: -3948*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 305 = 3*m - 858, -3*d - 5*m = -412. What is the remainder when 2222 is divided by d?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z + 10. Let n be i(6). Let j be -3 + 1\/(n\/(-66)). Suppose -b - j = -m, m - 68 = -m - 2*b. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34832728 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-4) - ((-210)\/12 - 3). Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 572247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 - -45.039. Let s = a + -0.139. Sort 2\/7, -3, -4\/5, s.\nAnswer: -3, -4\/5, s, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -9845*b - 108319. Calculate a(-11).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1986497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23\/5 + 94\/15. Find r, given that -h*r**3 + 1\/3*r - 1\/3 + 2\/3*r**4 + r**2 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -16\/85, -0.11, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**3 - 4*a**3 + 0*a**3 + 0*a**2 - a**3 + 0*a**2 + (4*a**3 + 0*a**3 - 2*a**3)*(4 + 2 - 5).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2426844276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/21)\/(v*v**(-1)) assuming v is positive.\nAnswer: v**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000828189577 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(10) + sqrt(20)\/sqrt(2)))\/sqrt(4).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((69 - 209 + 48)*(r + 2 - 2) + 2*r + 14 - 6 - r)*(2*r + 0 + 0) in the form a + s*r + n*r**2 and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 71946523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -243229996 to the nearest 10000.\nAnswer: -243230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 146127295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (70 - 172 - -176) + -17 + -2 + 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + x = -65. Let i(t) = -8*t - 3 - x - 12. Is i(-8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.228 * 0.38968.\nAnswer: -0.08884704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/91773060 and -115\/36709224.\nAnswer: 183546120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2766 divided by 8984.\nAnswer: 1383\/4492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96 + v**2 + 154 - 12*v**3 - 2*v**2 - 116.\nAnswer: -12*v**3 - v**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-86)\/(-8))\/((-585)\/(-36) - 5) and (-107)\/20 + 2\/(-12)*-6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 102?  (a) 4  (b) -195  (c) -0.3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22*r**2 - r - 10*r**2 - r - 2*r**3 wrt r?\nAnswer: -12*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 12) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 4, k: 15}. What is prob of picking 3 k?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -137, -300, -499, -746, -1053?\nAnswer: -1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 30.5, -2, 0.1, -4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 27*o - 29*o. Suppose -a + o = -4*v, 9*a - 2*v + 334 = 14*a. Which is smaller: a or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 7*j**2 + 100*j + 2700. Is 100 a factor of l(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.2, -30067, 179\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of u**5\/60 + u**4\/18 - u**3\/18 - u**2\/3 - u. What is p in a(p) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10806 = 2*c + 4*g, 114*g - 112*g - 8 = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 664.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 = 2*j - 37. Factor 2*k**3 - 73*k + j*k + k**4.\nAnswer: k**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 - 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 778393200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/(42800\/480 + -87)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/2, 5, -0.2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2\/7 - 88856*n\/7 - 177728\/7.\nAnswer: 4*(n - 22216)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -57?  (a) -6  (b) -4  (c) -13  (d) -0.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**3 + 2615814701*f - 2615814701*f.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 42*o**3 - 100*o**2 + 998607*o?\nAnswer: 252*o - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-1)*1\/(-1)*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 41 divided by 2\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 1. Let x = -1 - r. Let d be 1\/(-1) + (0 - -3). Which is the third biggest value?  (a) d  (b) x  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 470*c*z + 2*z + 236 wrt c.\nAnswer: 470*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 8*n - 31*n + 954 - 1044 - 47*n. Does 13 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 + -16. Which is the second smallest value?  (a) j  (b) 0.03  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -21*z - 2. Let q(i) = 1196*i + 115. Calculate -115*f(s) - 2*q(s).\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiittytt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 5*w**2 + 26155*w - 5487330 = 0?\nAnswer: -5433, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 23*p**3\/6 + p**2 + 7*p - 4. Let s(l) = -4*l**2. What is s(f(y))?\nAnswer: -2116*y**2 - 368*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2580  (b) -11129  (c) -2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 4:17 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 26. Suppose 2*o - f + 3 = 0. What is the common denominator of 9\/5 and (-2)\/(-30)*1070\/o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of g**3*h*x - 44*g**3*h - 5*g**3*x - 3*g**2*h + 2767*h*x + 25*h wrt x?\nAnswer: g**3*h - 5*g**3 + 2767*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -4, 124, 2\/5, -1\/6, 11 in ascending order.\nAnswer: -24, -4, -1\/6, 2\/5, 11, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44\/413 + 467\/8260. Which is greater: q or -6.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 23, 0, -4 in increasing order.\nAnswer: -4, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(60\/9)*(-1)\/(-3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4\/9 - 8*l**3 - 90*l**2 - 324*l.\nAnswer: -2*l*(l + 9)**2*(l + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tss when three letters picked without replacement from ssssstsssssssssssss?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/6613750 and 109\/1322750.\nAnswer: 6613750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -179957.5 from -11.\nAnswer: 179946.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100010 (base 2) to base 11.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -668 in 216, 0, 3\/2, -5, -1\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 89198774 is divided by 1455?\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -912 + 906. Let f(n) = 4*n**2 + 186*n + 176. Let q(a) = a**2 + 3*a + 1. Let i(u) = b*q(u) + f(u). Determine g so that i(g) = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -36)\/(558\/(372\/4)*2\/(-12))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -h + 11, -15*f = -5*h - 16*f + 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 314493.3 months?\nAnswer: 26.207775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 25 + -4 + 2 + 0. Let z(y) = -y**2 - 30*y + 27. Let t be z(0). Let k = t - l. Solve w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((0 - 50)\/(-5)*(-1)\/(-22)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 40. Suppose -4*y - 458 = -2*z, 0 = 25*y - 24*y + 2*z + 102. Let l be 287994\/a - 42\/y. Round l to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -5*w - 41, -y + 5*w - 71 = -3*y. Let d be (y\/(-42))\/(409\/204 + -2). Let x = d + 333. What are the prime factors of x?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -2*x**2 - 3*x - 3. Let y be o(-2). Let d = 1 + -6. Is d != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6.7 + -2633.15882\nAnswer: -2626.45882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**4 + 6108*z**3 + 3090594*z**2 - 18708804*z + 28145907.\nAnswer: 3*(z - 3)**2*(z + 1021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3845684?\nAnswer: 2, 61, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q + 1. Let m(u) = -36*u**4 - 39*u**2 + 12*u + 12. Let f(b) = -12*l(b) + m(b). Find the third derivative of f(z) wrt z.\nAnswer: -864*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1685, -1662, -1611, -1520, -1377?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.2611  (b) 3  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -1378260 + 1378260 - 2192*y as h + b*y and give b.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/4 + 12 + 1. Suppose n = -0*n + y. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h + 1 - 1 - 2. Let k be 0\/((-2)\/(-4)*2). Let l be i(k). Put 1, -3, l in decreasing order.\nAnswer: 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 3*r + 13. Let u be b(11). Let l = 8 - u. What is the smallest common multiple of 18 and (-11)\/(-44) + 2 + l\/(-8)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/2)\/(35\/(-140)*-30*7\/(-3395))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-6)*(-30888)\/(-3003))\/((-6)\/56)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4700 + 4889. Let p(z) = z**2 - 3*z - 7. Let b be p(7). What is the greatest common factor of b and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/80 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*u - 793*u - 1278 - 3142 = 18938 for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 2244  (c) 0.4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1107 + 1117. Which is greater: b or -63?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 111630 and 8535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 44195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*x**4 - 1670*x**3 - 30245*x**2 - 100380*x + 132300 = 0. Calculate x.\nAnswer: -315, -14, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -15. Let y = u + -4. Let w = 6 + y. Put w, -4, -1\/4 in descending order.\nAnswer: -1\/4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 577900 and 500?\nAnswer: 2889500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1524.009 micrograms in grams?\nAnswer: 0.001524009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 501 a factor of 3816622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - -2) + -2 + 5 - (-32 + -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/20*(-95)\/(-114).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -16, 156, 626, 1544, 3060, 5324?\n\"Answer: 25*g**3 - g**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4505 times -0.4?\nAnswer: 0.9802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (742\/53)\/((-6)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*((l\/(l\/(l\/(l\/(l**(-13)*l)*l*l*l)*l))*l)\/l)\/l*l*l)\/(l\/(l\/(l**(-5)\/l))*l) assuming l is positive.\nAnswer: l**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 794291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31710.\nAnswer: 2, 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-31)\/(-2)*(7\/7 + -5). Suppose 5*l - 3*f = 19, 2*l + 2 - 15 = 3*f. Let o be l\/(d\/(-20) + -3). Calculate the greatest common divisor of 8 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 52 + -51.99999891. What is k rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001118 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 61 + -61. Suppose 3*v = -4*u + 2*u + 15, 9 = 3*u. Solve -v*y + 3*d - 4*d = 12, t = d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 - 2*y**2 - 10*y**2 - 3*y**4 - 3*y**4 + 2*y**3 + 5*y + 3*y**4 - 2 as h + o*y + p*y**3 + z*y**4 + l*y**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3700582 (base 9) in base 16?\nAnswer: -1ea451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 9 = -2*p. Let k = -3 + 10. Suppose -g - 3 = -k. Sort -4, p, g.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**3 + 28*r**2 - 6*r + 11. Let u(l) = -8*l**3 - 126*l**2 + 24*l - 45. What is 9*n(a) + 2*u(a)?\nAnswer: 2*a**3 - 6*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20164500 rounded to the nearest 100000?\nAnswer: 20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + (sqrt(637) + -2*(3*sqrt(637) - sqrt(637)) - sqrt(637)) - -2*-2*sqrt(637))**2.\nAnswer: 31213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 12*v - 5. Let o be t(-11). Let w be 1 + -1 - (13 + -3). Let m = w - o. Let z(b) = -b + 7. Give z(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**5 - 33*s**4 - 228*s**3 - 192*s**2 = 0. What is s?\nAnswer: -4, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**0)\/(q\/(q**6\/q*q)))**(-28\/5)*(q**(-6\/5)*q*q**(1\/4))\/(q\/(q*q\/((q\/((q**0\/q)\/q))\/q)*q))**(-8\/3) assuming q is positive.\nAnswer: q**(-671\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 976477710.\nAnswer: 2, 3, 5, 13, 193, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, f: 12, e: 1}. Give prob of sequence bf.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17*w**3 - 19*w**2 + 9*w - 9*w + 15*w**2 wrt w?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008913364052 rounded to 7 decimal places?\nAnswer: -0.0008913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 90691 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, h: 2, x: 2, z: 1}. What is prob of sequence szx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001401632 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12669284711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.009 * 24605\nAnswer: 221.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, 42, -4.64?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*n - 15*n = 6*n - 25297. What is the remainder when n is divided by 70?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0 - 1 - 3 + 2 + (2 - 1 + 0)*(0 + 1 - 3) + 0 - 5 + 4 + 6 - 11 - 9)*(2*v - v - 2*v).\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (106525660\/(-36))\/(-5) + -5. Let y = -166673897\/279 + d. Let c = 5594 + y. What is the common denominator of 67\/9 and c?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110114314 (base 5) to base 8\nAnswer: -1633774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 21 + -20.9788. Round b to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17a3a (base 13) in base 16?\nAnswer: b26f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from hhcjcchcmczhhhcmzm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {c: 2, p: 3, j: 6, r: 2, n: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 887426, 887451, 887476, 887501, 887526?\nAnswer: 887551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-0.1078942.\nAnswer: -0.3236826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62313, -124487, -186661, -248835, -311009, -373183?\nAnswer: -435357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22540140 divided by 53667.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -0.2677099?\nAnswer: 0.02677099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.19, 20, 1\/2, 45\/7, 0.07.\nAnswer: 0.07, 1\/2, 1.19, 45\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2708 - 2708.00002004. What is k rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 91*f**4*q**2 - f**2*q**2 - 13*f*q - 2*q**2 wrt f?\nAnswer: 1092*f**2*q**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, c: 5}. Give prob of picking 3 c.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5709456 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14976 rounded to three decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 + 11\/(-4) + 4890\/24 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 5*o**9\/3024 - o**5\/24 + 2*o**3\/3 + 1. Let y(f) be the third derivative of c(f). What is the second derivative of y(n) wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-709*(4 - 5))\/1. Let v = i + -707. Suppose 2\/9*g**5 - 2\/9*g**4 + 0*g + 0 + 0*g**v - 4\/9*g**3 = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 3 + 1 = -2*g, 0 = -5*d + 4*g - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + 232?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -3\/4  (c) -409  (d) 4  (e) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -1\/10, 0.080076, 0.14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4048\/7 + -578. What is the biggest value in w, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 941, -5, 6485, -1.\nAnswer: -5, -4, -1, 0, 941, 6485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.027 - -0.027. Which is the closest to -0.3?  (a) y  (b) -2  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20060121 (base 7) to base 8\nAnswer: 6255164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -52*a + 58*a - 144. What is the greatest common factor of 152 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 3)*(2*i + 1 - 1) - 5 + 1 - 29*i + 62*i + (-i + i - i)*(-1 + 2 - 3 + (-2 - 1 + 1)*(3 - 2 + 0) + 2 - 1 - 3 + 2 - 2 - 1).\nAnswer: 48*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -55*y**4\/12 - 10*y. Let b(f) = 4*f**2 - 8*f + 2. Let z(j) = -j**2 + 4*j - 1. Let i(n) = b(n) + 2*z(n). Give i(o(h)).\nAnswer: 6050*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + j + 2*t - 68 = 0, 4*j - 4*t - 120 = 0. Suppose 4*g + j = -5*h, -h + 4*g + 8 = -0*g. What are the prime factors of 1 - 0 - 28\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (-12 - -11 - 4 - (2 + -11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -167489 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21647 = 37*k - 41697. What are the prime factors of k?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23665 * 0.2.\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.02, -0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -18.31 from -38.\nAnswer: -19.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8085 is divided by 311.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47031 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9927260 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*b = -1215 - 625. Solve 17*k = 7*k - b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1917*m - 257*m + 1205*m.\nAnswer: 2865*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13.5 + 13. What is the third smallest value in 0.6, 2\/5, k?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-22 - (26 + -59) - (6 + -103 + 3)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 51241\/8 + -6416. What is the common denominator of a and -149\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3*s**3 + 15*s**2 + 36*s + 22. What is the thousands digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 53*s + 6086. Give d(58).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -22.22367 times -6\nAnswer: 133.34202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13528 and 5776?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -141358307?\nAnswer: -141358311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 4. Let g be j(3). Let n = -1 - g. Suppose -4*x - 10 = -2*k, 4*x = 52*k - 49*k - 5. What is the closest to -0.2 in 0.02, x, n?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - (-3 + -1)) + -2. Suppose 0 = 5*i + 15, -f*k + 4*k - 2*i = 940. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 163481151 or 163481152?\nAnswer: 163481151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -20*x**2 + 20*x + 14. Let b(q) = -3*q**2 - 8*q**2 + 1 + 4 + 7*q + 4*q**2. Let j = 26 + -9. What is j*b(s) - 6*o(s)?\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 218414\/5 less than 43682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*t**2*w*x**3 + 5*t**2*w*x - 3*t**2*x**2 + 3*t**2*x + 229*t*w*x**2 + 19*t*x - 2*w*x wrt x.\nAnswer: 60*t**2*w*x - 6*t**2 + 458*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1540 and 18340.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 2*q + 4. Let p(k) = k**2 - 255 - 241 - 215 + 644 + 4*k. What is the remainder when q is divided by p(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) 2\/3  (c) 5\/59  (d) 17  (e) -54\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2*-3*sqrt(320)*6)**2.\nAnswer: 414719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -2*b - 3*q + 6260, -q = -4*b + 12517. What are the prime factors of b?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (17 - 16) + 4 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 9:08 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 + 0*a**2 - 2 + 7*a - 4*a**2. Let y be (-3)\/(-12) - (-27)\/(-12). Let v(n) = -7*n**2 - 1 - n**2 + 12*n**2 - 5*n**2 + 3*n. What is y*h(x) + 5*v(x)?\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 767*t**2 + 65*t. Let h(f) = 24*f**2 + 2*f. What is -65*h(g) + 2*u(g)?\nAnswer: -26*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23a4 - 1?\nAnswer: 23a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 563502869 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 535*u**2 + 915*u + 1668. What is the first derivative of p(m) wrt m?\nAnswer: 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149142.\nAnswer: 2, 3, 7, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3\/70 - -271\/210. Which is the closest to 0.2?  (a) 4  (b) 3\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -140, -105, -70?\n\"Answer: 35*v - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 36*-22\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1031\/102 + -118\/17. Let c = t + 16. Calculate the common denominator of c and -71\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18142, -36240, -54338?\nAnswer: -72436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -7*v**4 - 2*v**3 - 2*v**2 - 9*v. Let b(h) = 15*h**4 + 5*h**3 + 5*h**2 + 19*h. Let d(z) = -2*b(z) - 5*r(z). Find the second derivative of d(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 52, 75, 114, 169, 240?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/2 - 8\/(64\/(-28)). Suppose -l*g + 6 = -4*g + 3*r, -4*g + 5*r = -109. Solve t - 9 - 6 = 4*k, 4*k + g = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 322625084.\nAnswer: 2, 80656271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 11 - -4 - 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -43*b**2 - 4*b + 17. Let y(x) = -44*x**2 - 3*x + 15. What is -3*p(v) + 4*y(v)?\nAnswer: -47*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54 - -106. Suppose -5 = -3*d - 0*k + 4*k, 8 = 2*k. Suppose 8*o - 52 = d*o. Is o < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 6:12 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -6681  (b) -1\/6  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2849*y + 5771*y - 527 = 2891*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13372971 divided by 5.\nAnswer: 13372971\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 + 5*s**2 - 8*s - 7. Let o be x(-6). Let h(a) = -5*a**2 - 9*a - 3. Let w be h(-2). Sort w, o, 3 in descending order.\nAnswer: o, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52072 or 51408?\nAnswer: 51408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4*s - 2. Suppose 1 = -3*k + 16. Let w = -11 + k. Is a(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 348536759*a**4 - 524494025.\nAnswer: 1394147036*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -2*s - 2*g - 3, -g = 3*s + 3. Let f be -5*(1 + (-24)\/15). Put f, 2, s in decreasing order.\nAnswer: f, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + j - 10. Suppose 3*q + 2*w = 4*q + 16, -q + 3*w = 20. What is the remainder when d(q) is divided by ((-30)\/(-12))\/(3\/18) + (-4)\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1890, 3401, 4910, 6417, 7922, 9425, 10926?\n\"Answer: -q**2 + 1514*q + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**7\/8820 - h**6\/2520 - h**5\/210 - 5*h**4\/24 - 10*h**2. Let s(a) be the second derivative of z(a). Factor s(u).\nAnswer: 2*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 5. Let u = w + 0.7. Put u, -5, 1 in descending order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7462178093.\nAnswer: 37, 103, 1958063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -18 + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1391, 1411, 1429, 1439, 1435, 1411, 1361, 1279?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52430.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of -4*z - 3*z**2 - 1 + 1\/3*z**3. Let q be n(7). Solve -q*m + 7*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -2*w**2 - 34*w + 15. Let h be x(-9). Factor 4 - h*u + 1\/4*u**2.\nAnswer: (u - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 1000110010101100?\nAnswer: -1000110010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -8 + 6 + (-9 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 4*b**2 - 46*b. Let h(t) = 400*t. Give g(h(a)).\nAnswer: 640000*a**2 - 18400*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1344 and 1669696.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 248\/48*2 + (-42)\/18. Solve -3*r - q + 0*q = 14, -2*q + p = -3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -130, 5, -5.\nAnswer: -130, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 15*c + 32 - 18 + 13*c**2 - 7 - 6.\nAnswer: 13*c**2 - 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202221102121 (base 3) to base 12.\nAnswer: -17a65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*z - 10*z - 15*z + 20. Calculate the remainder when (0 - -19)\/((-1)\/(-2)) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 21*y. Let h(i) = -13*i + 281. Let b be h(22). Let g(w) = 400*w. Calculate b*g(c) + 96*r(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 14. Determine p so that -o*p**3 + 0*p**3 - 3*p**3 + 4*p - 3*p**2 + 7*p**2 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -5*z, 0 = -7*p + 2*p + z. Suppose 0 = -p*t - t. Let m = 9 - t. Which is greater: 10 or m?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 3*r**2 - 2*r + 2. Let a be b(2). Let y = 5 - a. Let p(q) = -q**2 + 3*q + 0 + 0*q**3 - 2 - q**y. Calculate p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 3578\/35  (b) -0.5  (c) -3  (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19663475 divided by -65.\nAnswer: 302515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*l + 2*q - 1138, 3*q = 4*l - 1143. Let w = -609\/2 + l. Let j = -16753 + 670161\/40. Find the common denominator of w and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 12*a**2 + 8*a - 1. Let i(l) = -13*l**2 - 6*l + 2. Let q(k) = -3*b(k) - 4*i(k). Let v(x) = 3*x**2. What is v(q(d))?\nAnswer: 768*d**4 - 480*d**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -25159370 to the nearest ten thousand.\nAnswer: -25160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2664 and 36.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18411 + 18411.2. What is the nearest to 1\/2 in w, 0.1, -0.417?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 j when three letters picked without replacement from {j: 3, q: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1569 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zrrrczcrzd. What is prob of picking 1 d and 1 r?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001224124724 rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*r - 50 = -14, -r - 25 = 2*g. Is (5\/((-25)\/g))\/((-6)\/(-30)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h + 16*h = 10. Suppose 0*l + 5*s + 120 = 5*l, h*l = s + 140. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6161 - -4?\nAnswer: -6154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 17, 0.08, -7827, 0.5?\nAnswer: -7827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183342760.\nAnswer: 2, 5, 4583569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -11. Suppose 0 = -v - 6 - u. Let w(i) = i**2 + 9*i - 13. List the prime factors of w(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*h**4 - h**2 + 43*h**4 + 3*h - 4*h - 4*h**3 in the form g + d*h + z*h**3 + v*h**4 + s*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + -2*sqrt(980))\/((sqrt(32)\/sqrt(2))\/sqrt(4) + sqrt(4)).\nAnswer: -13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 556700442?\nAnswer: 2, 3, 191, 485777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -370, -339, -306, -271, -234, -195?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 1. Let t(u) = 13*u**2 + 11. Let l(p) = 2*t(p) + 22*v(p). Let m(x) = x**2. Let d(b) = -6*b**2. Let f(o) = -d(o) - 4*m(o). What is f(l(y))?\nAnswer: 32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 13. Let s(t) = -t**2 - 7*t + 4. Calculate the remainder when 18 is divided by s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-2 + (-493031)\/(-246499)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 - 3*x + 6. Let c be m(-5). Let f be ((-6)\/(-27))\/(c\/(-6)). Determine i, given that f*i**3 - 1\/3*i - 1\/3 + 1\/3*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20720 (base 9) to base 15.\nAnswer: -40dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of 0*i + 0 + 2\/3*i**3 - 170*i**2 + 1\/150*i**5 - 11\/60*i**4. What is n in t(n) = 0?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 3*q - 4*q)*(5 + 0 + 1) + 0*q - q + 2*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 688 and 12.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 55620.98kg?\nAnswer: 55620980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23083.\nAnswer: 41, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = h - 6, 0 = 4*u - 3*h - 17. Solve 2*s + 0*m - 24 = -u*m, 2*s = -2*m + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 65749509 and -23.\nAnswer: -1512238707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -491, -524, -553, -578, -599, -616?\n\"Answer: 2*b**2 - 39*b - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34 - -42) + -3 + 10 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 3*x + 7 = d, 4*x - d - 14 = 0. Calculate the smallest common multiple of x and ((-4)\/5)\/(6\/(-45)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10756 or -9883?\nAnswer: -9883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1939 + -1936. Put a, 1, 0.2, 9 in increasing order.\nAnswer: 0.2, 1, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1339.681 + 3.319. Which is the third smallest value?  (a) w  (b) 0.5  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 139 = 151 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-8)\/w*w**(-1)*w)\/(w*w**(-2\/5)*w)**48*((w*w*w*w**0)**50)**(-14) assuming w is positive.\nAnswer: w**(-10929\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.64525 litres in millilitres?\nAnswer: 95645.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5900465, 5900472, 5900475, 5900474, 5900469, 5900460?\n\"Answer: -2*j**2 + 13*j + 5900454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 94 + 24 = 0. Let d = 8 - 5. Suppose -40 = -d*m - m. Calculate the highest common factor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 13*j - 4*j - 3 + 0. Suppose -4*r = -w - 5*r - 10, -w + 8 = -5*r. Let z(c) = 2*c + 9. Let m be z(w). Let f(s) = -14*s + 5. Calculate m*f(u) - 8*t(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*g**4 - 2*g + 9*g + 13266*g**3 - 13248*g**3 in the form w*g**3 + n*g + a*g**2 + q + j*g**4 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(0 + sqrt(17) + 4).\nAnswer: 8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 9:00 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**4 - 287097*s**3 = 0. What is s?\nAnswer: 0, 95699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 3:28 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -k**4\/4 - k**3\/3 + 3*k**2\/2 - 1. Let p be 3\/(-18) + 449\/(-6). Let v = p - -72. Determine n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**2 - 1844*v**3 - 11*v**2 + 6*v**2 + 1705*v**3.\nAnswer: -139*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109 - -1. Suppose 12*j - p - 250 = 0. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -429 or 1?\nAnswer: -429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -164795\/236 or -699?\nAnswer: -164795\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -36. Suppose 2*y = s + 4, -y + 3*y = -4*s + 14. What is the smallest common multiple of y and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 150416571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-20)\/260*1?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - sqrt(1584)*-3) + 2*sqrt(77)\/sqrt(7) + sqrt(11) + sqrt(55)\/sqrt(320) + 0 + sqrt(110)\/sqrt(10))**2.\nAnswer: 1190651\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1416556805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49440)\/(-927)*(-45)\/(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h = -54*g + 51*g + 39, -8*g = 2*h - 114 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -140354?\nAnswer: -140403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19182176 and 14.\nAnswer: 134275232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-3\/10))\/z)\/(z\/(z**(-3)\/z))*((((z\/((z*z**0)\/z)*z)\/z)\/z)\/z)\/(z*z\/(z*z**(1\/8)*z*z)))**(14\/3) assuming z is positive.\nAnswer: z**(-427\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 818, 1784, 4396, 9476, 17846, 30328, 47744, 70916?\n\"Answer: 137*h**3 + h**2 + 4*h + 676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-70)\/(-4)) + (-25069)\/(-2408) - (4 + 5)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(405) + 1)*2 + 1 + 0.\nAnswer: 3 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1694 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jqqq. What is prob of picking 3 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(3\/(-8)*50\/(34800\/(-58))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -2*x + 1\/2*x**2 - 3 - 1\/4*x**4 - 4\/3*x**3. Let k be o(-4). Is k at most -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/289 in 4\/5, -74\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - -17. Let j be ((-2)\/6)\/((-2)\/t) + -2. Determine u, given that 3\/4 + 0*u - 3\/4*u**j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from {q: 3, b: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.23 and 6.082307.\nAnswer: -1.39893061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3509?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-22 + (-763)\/(-35))\/((-2)\/30). Determine s, given that 1\/2*s**l - 1\/2*s**2 + 0 - s = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -2)*(1 - -2). Suppose r = -g*u + 3*r + 74, -3*u = -r - 79. Let d = 7 - -3. Calculate the remainder when u is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5*a + 9586, 3*k + 2*k + 5*a - 24000 = 0. What are the prime factors of k?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s + 1. Let g(b) = -9*b + 1. Give 6*f(k) - g(k).\nAnswer: 3*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 11*z**2 + 11*z + 11. Let x be g(-10). Let d be 89\/2 - x\/(-2). What is the highest common divisor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 76 is divided by 67.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 2*y - 7, 9*t - 14*t - 37 = 3*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 8*n**2 - 7. What is k(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 910 a factor of 3940955891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38081 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnnnnn. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -2434741.953 to the nearest 1000.\nAnswer: -2435000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 59490, 118889, 178288, 237687, 297086?\nAnswer: 356485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, l: 2, q: 2, n: 8}. Give prob of picking 2 n and 1 d.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -m**3\/5 - 434*m**2\/5 - 6777*m - 321552\/5 = 0. Calculate m.\nAnswer: -336, -87, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 315\/315*(-2)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2 - 19*j - 13*j - 3 + 33*j. Let s(o) = -3*o + 1. Calculate -5*b(i) - s(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 100\/75*(46 + 4\/2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -17.6  (b) -1  (c) 3\/2  (d) 1\/3  (e) 18\/49  (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 + 2507*d**3 + 25 - 2488*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1237, 29, 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -12234*a + 12264*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-58)\/(-5) + ((-40)\/(-90))\/(30\/27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -493*j**4 + 2*j**3*o - 2*j**2*o**3 - 2*j*o**2 + 183*j*o + j - o**3 - 43*o**2 wrt j?\nAnswer: -5916*j**2 + 12*j*o - 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 9385.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21238 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 418931 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 22\/4 - 6\/4. Let g be v*1\/(-2) - 4799998. Round g to the nearest 100000.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 6. Let j(x) = -25 + 2*x + 35 + 20 - 3*x. Determine -6*j(s) + 30*z(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -26 + -21 + 25\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15270 divided by 32\nAnswer: -7635\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1321100 + -32310?\nAnswer: 1222130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 1036*z + 2092. Give g(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 0*a + a + (1 - 34 - 32)*(-3 + 3*a + 3))*((-2 - 3*a + 2)*(0 + 1 + 1) + 1 + a - 1).\nAnswer: 965*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 8. Let a = 5024 + -25123\/5. What is the fourth smallest value in 0.4, 2\/63, j, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 175*m + 9797. Let z be j(-56). Let c(k) be the second derivative of k**5\/20 + k**4\/4 + k**3\/3 - 3*k**2 - k. What is c(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 201012525 and 2415?\nAnswer: 201012525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9596876*j**3 + 3 - 3 - 29137954*j**3.\nAnswer: -38734830*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 177.5293 and 100784.\nAnswer: 100961.5293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 450 + -268. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-368)\/(-56) - 6)*17\/((-136)\/(-364)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n + 1080 - 1171 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1 + 1)\/(-2))\/1. Let f(v) be the third derivative of o - 1\/6*v**3 + 0*v + 0*v**4 - 1\/15*v**5 - 2*v**2. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1623508449?\nAnswer: 3, 17, 1549, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.225725 to three dps.\nAnswer: -2.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 + 8*x**3 - 76 + 97*x + 226 - 9*x**3 - 82.\nAnswer: -x**3 + 97*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.06 and -32063873066?\nAnswer: 32063873066.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5867198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-60)\/(-6) - 9)*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -11*z**3 - z**2. Let u = -21 - -15. Let y be 3\/(-2)*u\/(-9). Calculate the lowest common multiple of f(y) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 148*u**2 + 5. Let n(q) = -74*q**2 - 3. Determine 5*n(m) + 3*t(m).\nAnswer: 74*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2216, 9642, 22274, 40112, 63156, 91406, 124862?\n\"Answer: 2603*i**2 - 383*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/4 - (-4650)\/24. Let h = 199 - g. Solve 5*p = -4*j + 2*p - h, -3*p - 8 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**2 + 275678*q - 275680 = 0.\nAnswer: -137840, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**4\/2 + 66*t**3 + 126*t**2.\nAnswer: 3*t**2*(t + 2)*(t + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(266) + -3*sqrt(266)*1)\/(-1*sqrt(1008) + sqrt(7)))\/(sqrt(10)\/sqrt(5)*-6 - (sqrt(128) - -1*sqrt(128))).\nAnswer: -sqrt(19)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/4)\/s**(-1\/5)*(s**1)**(-48)*(s**(1\/5)\/(s\/(s**5*s)))**(-9\/4) assuming s is positive.\nAnswer: s**(-241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 73722249 - 2?\nAnswer: 73722247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*m - 208*m = 122008. Sort 2, m, 4.\nAnswer: m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of 94*y**5\/15 - 25*y**4\/24 - 109*y**3\/6 - y**2 - 7*y. Is v(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 1 + 4*j - 5*j)*(0 - 3 + 5).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h**2 + 19*h**2 - 17*h**2.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f = 80. Let q be (f\/(-6))\/((-4)\/12). Let i = q + 10. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22841 - -22921. Suppose 0 = n - 2 - 2. Suppose f = 6 + n. What is the highest common factor of k and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c + 0*c = -39. Suppose -4*t - 1 = 5*p, -c*t + 1 = t + 3*p. Let y(l) = 5*l**3 - l. Give y(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*q = 28*q - 1169. Let j(m) = 12*m - 22. Calculate j(q).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/414002280 and 29\/569253135.\nAnswer: 4554025080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 147517732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -12c (base 13) to base 14\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2 + -0.3. Let l = -15 - -15. What is the closest to l in j, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k\/(k\/k**(-1))*k))**(-20)*k**(1\/5)*k**(2\/9)*k assuming k is positive.\nAnswer: k**(-1736\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18985*r - 18954*r - 620 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/8 in 3\/28, 1\/3, -1, -5, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/7)\/((2\/(-1))\/(-1))*(-32844)\/(-9384).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.91?  (a) 39  (b) -2.34  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -2*d**2 + 41*d - 14. Let i be c(20). Suppose -44 - i = -2*t. Suppose t = 10*k - 9*k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-80))\/((-3)\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 17*z**2 - 2*z - 3. What are the prime factors of a(-3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 32*x**2 + 50*x + 263. Let j be u(30). Is j <= -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 156660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 4*l - 264 = 0, 5*n - 1420 = l + 4*l. Let s = n + -186. Let q = s - 90. Solve -q*h + 20 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 - 18*s**2 + 2*s - 37. Is h(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-96)\/5*(833 + -828)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.75, -4, 60\/7 in descending order.\nAnswer: 60\/7, -0.75, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5 + 1)*(0*m + 5*m - 4*m)*(3 - 1 + 0)*(2 + 2 - 5).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-9)\/j)\/(j*j**(-5\/3)))**(3\/16)*(j\/(j\/(j**0*j)))**(-3\/14)*(j*j**6)\/(j\/(j\/(j\/(j\/j**(-2\/9)))*j)) assuming j is positive.\nAnswer: j**(6497\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74 - -84. Let q = -12 + 14. Solve -m - m + 5*j = y, 2*m + 10 = -q*j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/5  (b) 429297  (c) -0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 3, -4, 3809, 17.29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 316066.6178 rounded to the nearest one hundred?\nAnswer: 316100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -222563052 divided by -8243076\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -47364*f**2*n - 1189*f*n - 114800784*n wrt f.\nAnswer: -94728*f*n - 1189*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {k: 5, w: 2, h: 1, m: 2, y: 1, g: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m. Let y(j) = -j. What is p(g) + 30*y(g)?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddgddqoqgkqgg. Give prob of picking 1 o and 3 d.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 36*s + 131*s + 85*s + 106*s. Let a(b) = -11*b**2. Give a(o(y)).\nAnswer: -1409804*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16 + 16)\/(1*-2*1). Sort -5, 2, p, 3 in descending order.\nAnswer: 3, 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*g + 71*g - 26*g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vjlljjjjcjjtvjlljv. What is prob of sequence jjvt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 655310 + -306172. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 53190852 and 0.5?\nAnswer: 26595426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -975885*-2.5.\nAnswer: 2439712.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/66 and (-10)\/(-54)*2772\/1680?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 9149.952 nanograms?\nAnswer: 9.149952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 2, -1\/6, -96, -2, -5\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1662 + 0.8338. Which is smaller: 1155 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**5 - 3*i**2 + 6. Find the second derivative of r(q) wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/(-180))\/((-1)\/(-436))*129\/129.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 21. Suppose 2*y + 0*y + 4 = 4*o, 0 = 3*y + 3*o - q. Find the second derivative of -7*b + 2*b + 2*b**3 - y*b wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29472 + -13793. Let n = i + -10965. Suppose 0 = 10*w - n - 20976. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.0515  (b) 4  (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*l + 1 - 1 + 0*l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -3*c**2\/2 - 3*c - 1. Let d be u(-3). Solve d = p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 - -1 - (0 - 1). Let o be (0\/(2 + -3))\/d. Suppose o*g - g = -4. Solve 3*f = -g*t - 26, 4*f + 8 = -2*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2084156492 to the power of 1\/2, to the nearest integer?\nAnswer: 45653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 344055 * 58.\nAnswer: 19955190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 7)*(4*r**5 + 9*r**3 - 9*r**3 - r**5 - r**5 + 3*r**5 + (-2 + 1 + 0)*(-4*r**5 + 3*r**5 + 0*r**5)).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) + sqrt(1300) + (sqrt(1300) - -1*sqrt(1300))*3)*3 + sqrt(1300) + 1 + -5 + -1)**2.\nAnswer: -2500*sqrt(13) + 812525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*f + 0*f - 2*f)*(-2088 + 2088 + 223*f)*(1 - 1 + f) to n*f + v*f**2 + g + b*f**3 and give b.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 7\/(420\/290))*4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 + 2*a**2 - 6 + 26 - 10 + 3*a + 2*a**4 in the form u*a + f*a**2 + q + s*a**3 + b*a**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 r when two letters picked without replacement from lrollookklktotollll.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108*t - 109*t + 68 = 0. Suppose 3*x = 6, 0 = -4*r + 2*x + 8 + t. Calculate the remainder when 234 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2000002200 (base 3) to base 10.\nAnswer: 39438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(70)\/sqrt(40) - (sqrt(56) + sqrt(112)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -37428*d**3 - 10 + 37412*d**3 - 24*d**2 + 5*d**2 + 2*d**4 to t*d**4 + q*d**3 + r*d + o*d**2 + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 34619 divided by 2\nAnswer: 34619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**3 + 5*u**2 + 1. Let w(k) = 3*k**3 + 4*k**2. Let f(l) = -4*b(l) + 5*w(l). Find the first derivative of f(q) wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of 2*y**3\/3 - 11*y**2\/2 + 16*y. Let x be t(-11). Let f be -1*x\/(-1 + 6). What is the highest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7bd9 (base 16) to base 6\nAnswer: 402441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1589207 divided by -24.\nAnswer: 1589207\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140 divided by 1.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes before 5:29 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55 is divided by 5 - (-14 + 6 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/8 - (-93)\/12. Calculate the highest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1365636 at least as big as -0.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*l = 25, -6*d + 2*d + 2*l = -10. Suppose d = 4*o + 5*z - 21, -3*z = -o - 0*z - 16. What is the closest to o in -14, 4, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + -0.06. Let j = 0.06 + r. Which is the biggest value?  (a) -0.2  (b) -3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 2. Let g be 7 + 3 + 0 + 0. Calculate the greatest common divisor of g and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262*f = 259*f + 9. Solve 3*t + 15 = f*q, 3*t + 0 = 2*q - 11 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-9 - (11 - 18) - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2370973 + -2371033.000116. Let w = 68.9 + -8.9. Let y = w + r. Round y to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, -3, 2866\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -60\/1211 and -121\/78.\nAnswer: 94458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3. Let c be (g - -2)*19\/2. Suppose -c = -v - 0. Calculate the remainder when 54 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19\/105 - -7\/15. What is the nearest to 1 in -23, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5806b (base 15) to base 6.\nAnswer: 10001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 23*p**2 + 23*p + 23. Calculate a(24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -z**6\/40 + z**5\/60 + z**4\/12 + z**3\/6 - 3*z**2. Let b be f(-1). Factor -2\/3*t**b + 0*t**2 + 2\/3*t + 0.\nAnswer: -2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -12620368?\nAnswer: -1\/6310184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate k*w + 414847*k - 136539*w wrt k.\nAnswer: w + 414847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.0103  (b) 0.19  (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 66.6 + -73. Let a = h + 0.4. Let y = a - -10. What is the nearest to 0.1 in -2, -1\/5, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 at least as big as 795\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 + 6*d**2 - 3*d**2)*(-22*d**3 + 23*d**3 + 3*d + 14*d**3) + (-3 + 1 - 2)*(2*d**5 - 4*d**5 + 9*d**5).\nAnswer: -13*d**5 + 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 PM and 4:04 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -40*r**2 + 5*r - 3. Let i(m) = 20*m**2 - 3*m + 2. Let b(c) = -5*i(c) - 3*o(c). Let z = -1 + 0. Is b(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 257451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-2) + 45\/50)\/((-286)\/(-65))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1 + (-2 + 3 + 0)*(-3 - 2 + 6))*(-5 + 2 + 1)*(-2*m + 2*m + m**2).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) -142  (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 8 - (1 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h**2 + h - 32. Let s be j(-8). Suppose -s*k - 558 = -170*k. What is the greatest common factor of k and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 1052*i - 8405. Calculate n(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.00085mg to kilograms.\nAnswer: 0.00009500085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jkxjpnkjwjnk. Give prob of sequence pnwj.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + -15)*1\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/170*15*5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 2*u - 10. Let k = 4 - u. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or 0.1095?\nAnswer: 0.1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100ab (base 15) to base 12.\nAnswer: 25482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1206?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 5:34 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 11:29 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3170579351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01482 to 4 dps.\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -231 + 159. Let i(j) = -28*j**2 - 2*j - 2. Let o be i(-2). Let f = m - o. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -17*a - 230. What is the remainder when 237 is divided by r(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25224743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -275*t + 60*t - 117*t as h + d*t and give d.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of -h**7\/42 + h**6\/120 + h**5\/4 - 13*h**4\/24 + h**3\/3 + 107*h**2. Find z, given that o(z) = 0.\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*s**2 - 112896 + 28*s**2 + 112869 - 13*s**2.\nAnswer: s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(7)*-1 + sqrt(7) - sqrt(35)\/(-2*sqrt(5))) + 2)*1)**2.\nAnswer: -6*sqrt(7) + 79\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dmkomtkkokmbok. Give prob of sequence mo.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 941 in ascending order.\nAnswer: -4, 1, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27824 - -47598. List the prime factors of x.\nAnswer: 2, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f - 591 - 594 - 593 - 598 + 2376.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + 1. Let l(o) = -4*o**3 + 22*o**2 + 64*o - 250. Let k be ((-15)\/6 - -3) + 11\/2. Let d(f) = k*u(f) - l(f). Factor d(j).\nAnswer: 4*(j - 4)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 5)*(2*j**2 + 3*j**2 - 4*j**2)*(5 + 1 - 3).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001733 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 2312, 1530, -642, -4900, -11940, -22458?\n\"Answer: -116*j**3 + j**2 + 27*j + 2400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*c**3*v**3 + 1805*c**3*v + 77*c**3 - c**2*v**3 + 6065*c**2 + 14*c*v**2 + c*v + 2*c wrt c.\nAnswer: 18*v**3 + 10830*v + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(6)*-4)**2 + -4 + sqrt(5)*1 + 2*sqrt(125) + sqrt(5) + 0 + sqrt(5) + 2.\nAnswer: 13*sqrt(5) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -590 - -591. Put 183, -4, f in decreasing order.\nAnswer: 183, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 585 divide 1834681323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from feaaeaefaaefanfaefe.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1557 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 24 = 5*c - 18, -5*o + 30 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -6. Suppose -88 = -18*a + 74. Let g(s) = 4*s**2 - 15*s**2 + a*s**m. Let r(t) = -17*t. Give g(r(d)).\nAnswer: -578*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - -3)\/((-14)\/(-21)). Let o be (-11401)\/(-52) + d\/(-4). Calculate the highest common factor of o and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**5 - 2*p**5 + 19076*p**4 - 55*p**2 + 299*p**2 - 18979*p**4 wrt p?\nAnswer: -60*p**2 + 2328*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (4 - (40 + -22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h - 4. Suppose -6*s + 2*s = -2*w + 16, -4*s = 2*w. Let n be b(w). What is the third derivative of -5*x**2 + 2*x**n + 0*x**2 + 3*x**2 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46.7 - 0.94.\nAnswer: 45.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 192821 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjja when four letters picked without replacement from {a: 13, j: 5}?\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10110111 (base 2) to base 13.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 551 and 10.\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2801601\/140 - -20011. Find the common denominator of -97\/140 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -159*(1\/6 - (-8)\/16). Let n = o + 119. Find the third derivative of 34*u**3 - 5*u**2 - n*u**2 + 24*u**2 + 22*u**2 wrt u.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -7\/2*d**2 + 2*d - 1 + 1\/3*d**3. Calculate o(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 322 - 951 + 319 + 310 - 30*n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2546)\/(-9112)*68 - 12*(-5 + 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49, 106, 177, 268, 385, 534, 721?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4444310 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2696 + -1913. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 844404847?\nAnswer: 11, 13, 5904929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -302*n**2 - 5 + 3 - 57*n**2 + 2 in the form q + w*n**2 + m*n and give w.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, z: 4, a: 2, n: 3, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1522.842 decades in centuries?\nAnswer: 152.2842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004631297 to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 6*g**2 + 344*g - 2890. Determine v(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 415*x - 34*x - 4320297 = 782055. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 382.8, -2\/3, -5, 0.4, 2\/39119?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -c - 16, 0 = 4*c - 2*d + 10 - 2. Let a = 17 + -16. Let s be (-1)\/(-6 - (0 - 1)). Sort s, a, c.\nAnswer: c, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5133*g + 5128*g - 4*y + 324 = 0, -5*g + 171 = 3*y - 152 for g.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 9*s**2 - s + 7. Let i be b(9). Let l be (i + -99998)*1*-79. Round l to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 229266 and 48222?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, n: 1, o: 5, m: 3, c: 2, j: 7}. Give prob of sequence cono.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48\/19 + 2\/19*d**3 - 28\/19*d + 22\/19*d**2.\nAnswer: 2*(d - 2)*(d + 1)*(d + 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/150)\/(196\/(-4900)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1571 - 2549. Is (k\/(-9) - -3)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 773 - 2685 = -8*p. Let u = p + -127. Suppose 2*d - 5*i = -3*d + 155, 3*d - 101 = -5*i. What is the greatest common divisor of d and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6367, 63, 1, 5, -2, -5 in decreasing order.\nAnswer: 63, 5, 1, -2, -5, -6367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) -3394  (c) -6  (d) 18  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 206\/7  (b) -4  (c) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**2. Let j(x) = 5690*x**2 - 7. Give j(b(k)).\nAnswer: 22760*k**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - l - 4*l = -71, -2*l = -1 - 5 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 9:51 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1486669.1 rounded to the nearest 1000?\nAnswer: 1487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5026.94ml?\nAnswer: 5.02694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/13 + 2983124*j\/13 + 5966256\/13.\nAnswer: -2*(j - 1491564)*(j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 24, 8, -22, -72, -148, -256?\n\"Answer: -q**3 - q**2 - 6*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 288170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 3  (c) 25  (d) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (124*r**3 - 274*r**3 + 120*r**3)*(-3*r - r**2 - 3*r + r)*(1 + 2 + 1).\nAnswer: 120*r**5 + 600*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(((-12)\/(-75))\/(-2)). Suppose 12 = 4*d - v. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3344 - -3797. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20463 and 2.1.\nAnswer: 42972.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 + 6*z**2 - 2*z**2)*(5*z**2 - 3*z**2 + 0*z**2 + (8*z**2 + 0*z**2 - 4*z**2)*(5 - 3 - 3)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18636348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f**5*h + f**5 + 3*f**3*h + 25*f**2 + 5*f*h wrt f?\nAnswer: -180*f**2*h + 60*f**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -87845 divided by -70\nAnswer: 17569\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-1))**4)**6\/((m**(1\/2))**(-43)\/(m**(-2)\/(m*((m*m\/(m*m**4\/m*m)*m)\/m)\/m*m))) assuming m is positive.\nAnswer: m**(139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 361*u**2 - 2*u. Let c(w) be the third derivative of w**5\/15 - 2*w**2 + 3*w + 17. Calculate k(c(p)).\nAnswer: 5776*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes before 7:55 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -59, -119, -193, -287, -407, -559, -749?\n\"Answer: -m**3 - m**2 - 50*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**18\/n*n*n)\/(n*n*n\/n**(-2\/5)*n))\/((n\/(n**(-1\/3)\/n*n*n*n))\/(n\/n**(15\/2)*n)))**(23\/2) assuming n is positive.\nAnswer: n**(6739\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-77)\/(-70) + 6\/(-10))*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 12 = 46. Let k(a) = a**2 - 15*a + 10. Let c be k(u). Let x = c - 9. Calculate the greatest common factor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 158543841\/5 or 31708767?\nAnswer: 158543841\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.151067281 rounded to five decimal places?\nAnswer: -0.15107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7079 - 7065. Let z be 1*(2 + (-1)\/1). Calculate the remainder when 5*5 - (-2)\/z is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the first derivative of j**3\/8 - 1833*j**2\/8 + 1119963*j\/8 + 4503. Suppose p(s) = 0. Calculate s.\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000206832 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 118 (base 9) to base 6\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.0171718933 + 118543.0033281067. Let s = d - 118516. Let m = 27 - s. What is m rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2322146 nanometers in centimeters?\nAnswer: 0.00000002322146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11\/301?  (a) -5  (b) 49  (c) -3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2\/19  (b) -302  (c) -1\/6  (d) -2  (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 17\/17*0\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three eighths of a meter in millimeters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2 + 1 - 2*c + 2 + 12*c**2. Suppose -16 = 4*t - 2*w + 7*w, -3*w - 16 = -4*t. Calculate y(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 5:47 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 31 + 3 + 3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 829152952 by 1.\nAnswer: 829152952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7344605713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -798, -3185, -7164, -12735?\nAnswer: -19898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 16*l**3 - 3*l**2 - 3*l - 4. Let s be x(-5). Let p be (75\/(-12) - -4)\/(9\/s). Suppose 0 = -5*w + 11*w - p. List the prime factors of w.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*q**2 + 228875*q - 2647723 wrt q.\nAnswer: 36*q + 228875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, i: 12}. What is prob of picking 3 i and 1 q?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8072*b**3 + 3507*b?\nAnswer: 48432*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7344 by -459.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10147*p**3 - 3 + 3 - 5070*p**3 - 5074*p**3 + 52*p**2 - 52*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phpjjprpjjjpjj. Give prob of picking 1 j and 2 p.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12210000112200 + 1002?\nAnswer: 12210000120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -0 - 8, 4*u - 27*f = -0*u + 7*u + 84 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27.534768 months to years.\nAnswer: 2.294564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + 1 + -1)**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4.05 greater than 0.1147413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 280*h**2 + 1936*h + 178. Give c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.09984038292 minus -0.5?\nAnswer: -1.59984038292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Is 30407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 7765425948964.\nAnswer: 7765425948969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 3 - 4 = -3*z, -3*v + 27 = 3*z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55 + 1025*l - 169*l**2 + 29 + 778*l**4 + 170*l**2 + 26 wrt l?\nAnswer: 9336*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 - -72 - ((-9 - (2 + -4)) + (-102 - 5)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.1  (b) -3  (c) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3338285 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 25*a**2 + 44*a + 27. Let h be j(22). List the prime factors of (h + -18)*(-6)\/10 + 1.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 - 5*j + 4. Let t be g(4). What is the second derivative of t*n - 27*n + 25*n + 11*n**3 wrt n?\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 163, 4, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -16. Suppose 145 + 135 = -r*p. Let o = p - -207. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6270.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -169 - -173. Suppose 4*d + 1340 = b*r, -14*r + 1682 = -9*r + 2*d. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i - 4. Let t be n(6). Let j be (-1)\/((-15)\/(-9) - t). Suppose 0 = 4*h - 8*h + 48. Solve 6*w + h = j*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -4*t - 62, -16*t - 250 = -13*q + 8*q for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111001001100 (base 2) in base 8?\nAnswer: 7114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/22875 and -29\/1125.\nAnswer: 68625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -30?  (a) -2\/7  (b) 79  (c) -2\/17  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 6*u - 4. Let k(o) = -3*o + 5*o**2 + o - 2*o - 5 - o**3. Let p be k(4). Calculate g(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*2\/(12\/3))\/((-133)\/2394)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -4*t + 32. Suppose -10 - 12 = -2*b. Let m = b - t. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((3*sqrt(114))\/sqrt(6))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 97566 and 39491.\nAnswer: 1658622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/126 and -83\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 - 1. Let s(j) = 2*j**2 - j - 1. Determine -2*s(w) + 5*y(w).\nAnswer: w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221 = 4*q - 5*c - 506, 2*c = -2*q + 368. What are the prime factors of q?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.90278 millilitres to litres.\nAnswer: 0.01290278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(-4*(-21)\/224)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 0*v + 1\/60*v**5 + 2\/3*v**3 - 1\/8*v**4 - 5*v**2 + 0. Let x be n(3). Solve -2*t + 3*s = -x*t - 8, 0 = -5*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.148 * -48\nAnswer: -7.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -13*k + 2. Let o(p) = -1 + 3*p + 2*p + p. Suppose 59 = -8*m - 13. Determine m*o(a) - 4*b(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -25.2538 - -4\nAnswer: -21.2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -118*k**3*q + 2*k**2*q + 440*q with respect to k.\nAnswer: -354*k**2*q + 4*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -922*u + 51 = -931*u + 2*s - 12, -4*s + 7*s = -3*u - 21 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 63 = -2*o - 2*o, -3*a + 18 = o. Suppose 2*n + o = 7*n. Suppose 1172 = 3*d + i, -5*i + n + 22 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -57*d + 14. Let c be x(-3). Let r = -3 + c. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1584) + -1 + 4 + -3 + (sqrt(99) + (sqrt(99) + sqrt(99)*-1*4 - sqrt(99)) + sqrt(99) - sqrt(99)*1*-6)**2 + 3.\nAnswer: 12*sqrt(11) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.81 + -2. Let p = o + 1.190113. Round p to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -163.7 + 179. What is j rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**2\/3 + 3114268*q\/3 = 0. What is q?\nAnswer: -778567, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -8 + 11 - (-14 - -6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 5*y**2 + 22*y + 131. Let t(o) = 26*o**2 + 107*o + 654. Let u(z) = -21*p(z) + 4*t(z). Determine u(-29).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -21483647, -21483642, -21483635, -21483626, -21483615?\n\"Answer: x**2 + 2*x - 21483650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 3:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - w**2 - w - 2. Let p be (-17)\/(-5) + (-2)\/5. Let o = 5 - p. Let n be s(o). Solve -27 = 3*u + 4*h - 3, n = -3*u - h - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 4:39 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/12)\/(30\/8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 355d (base 14) to base 12\nAnswer: 5467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1364743, -2729155, -4093569, -5457985?\n\"Answer: -u**2 - 1364409*u - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/24 in 3, 297\/7, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 12*t + 60. Let u be (254\/(-72) - 15\/t) + 3. Sort u, 0.3, -0.2, 12\/7 in ascending order.\nAnswer: -0.2, u, 0.3, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 32*l - 25*l. Let x(b) = b**2 + 4*b + 2. Give x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/28*-12)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -0*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 116765 from 2.6667209.\nAnswer: -116762.3332791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(2\/5)*t\/(t**(-36)*t))**(4\/19) assuming t is positive.\nAnswer: t**(732\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 7*o**2 - 5*o + 27. Let m be f(-8). Suppose 0 = m*y - 1233 + 369. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(153)\/(sqrt(9)*1) + -4*(sqrt(17) + (sqrt(425) + 3)**2).\nAnswer: -1731 - 123*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 478*g - 3303. Determine m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*d**2 + 19*d - 14*d**2 + 1697*d**3 - 11 + 0 - 9 wrt d.\nAnswer: 10182*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 10:57 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/8807 and 28.\nAnswer: 8807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*p**2 + 2*p**4 - 3*p**2 + (-p**2 + p - p)*(0*p**2 + p**2 + 0*p**2) + 0*p**4 + p**4 - 3*p**4 + (-6*p**3 + 6*p**3 + 1 - 5*p**3)*(10*p - 10*p + 11*p).\nAnswer: -56*p**4 + 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 38\/(-8) + (-9)\/36. Let d = -3 + 4. Let p = 6.5 + -6.47. What is the closest to d in p, -4, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/63 and -10\/22881?\nAnswer: 480501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 9*x - 3. Let u be g(-8). Suppose -b = -y - 3*y - 32, 2*b - 64 = u*y. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((24\/14)\/(-6))\/(1\/(-7)). Solve r*u = -f + 1, -3*u - 4*f = -f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {s: 2, o: 5, t: 8, n: 1, x: 2}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2a4f4 + 2?\nAnswer: 2a4f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d = 2*d. Let g be 12 + ((-30)\/(-6) + d - 5). Solve 5*y + 15 = -2*z, -3*y + 5 = -4*z - g for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2433660070945025 + 2433659872190963.69999876. Let b = -198754069 - r. Let m = b - -7.7. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2071.216 grams in micrograms?\nAnswer: 2071216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -2, 4\/5, -3\/4, -194, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-10) + 48\/20. Suppose b = -31*i + 33*i. Let o(n) = -5*n - 1 + i + 9*n. Let h(d) = -5*d. Calculate h(o(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/4 and 666\/112 - (-6 - 744\/(-126))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164.221 rounded to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/144*(-495)\/(-2915).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 32*p**2 + 30*p + 132. Let l be w(33). Suppose 16*h - l - 287 = 0. What is the remainder when 39 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -5*u**2 + 3. Let m = -216 - -210. Let r(b) = -25*b**2 + 13. Let l(c) = 4*c**2 - 2. Let k(j) = m*r(j) - 39*l(j). What is a(k(x))?\nAnswer: -180*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5209073, -5209075, -5209073, -5209067, -5209057, -5209043?\n\"Answer: 2*s**2 - 8*s - 5209067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -21. Let h be (-58)\/(-84) + k\/12. Suppose -4\/7*q**2 + h*q**5 + 2\/7 + 6\/7*q + 2\/7*q**4 - 12\/7*q**3 = 0. Calculate q.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.34 - 2.84. Sort -0.2, x, -4, -3\/5.\nAnswer: -4, -3\/5, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 5*r + 22 = -15, -3*o = -3*r - 3. Does 48 divide 20\/o*288\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 1 + sqrt(2299) + (-6*(sqrt(2299) + (sqrt(2299) - (sqrt(2299)*-2)**2)) - sqrt(2299)) - ((2*sqrt(76))\/sqrt(4) + 2 + sqrt(19)*-1)*5.\nAnswer: -137*sqrt(19) + 55168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -943770 = -205*n + 417840. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 39 + -4?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 32 = 16732. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22426452 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(1\/2)))**(-10)\/(((p**(-3\/4)*p)\/p)\/(p\/(p**0*p))) assuming p is positive.\nAnswer: p**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of -t**4\/2 + 10*t**3\/3 + 57*t**2 + 198*t - 170. Factor i(v).\nAnswer: -2*(v - 11)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(228)*4 - (sqrt(228) + -5*-2*sqrt(228) + sqrt(228)))\/((sqrt(48) + sqrt(480)\/(sqrt(10) + sqrt(40)))\/(sqrt(36)\/sqrt(225))).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 22330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5109 and 7253208?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 304573\/114 + -2673. Calculate the common denominator of -109\/24 and o.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*d - 11. Suppose 0 = -d*l - 2*q - 26, -3*l + 5*q + 19 = -4*l. Let z(t) = 6*t - 9. Let j(s) = s - 1. Let r(v) = -5*j(v) + z(v). Give r(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67265, -67370, -67475, -67580, -67685?\nAnswer: -67790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4905 is divided by 1616.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.121557937 to 3 decimal places.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 523935.\nAnswer: 1047870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 338 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21523203, -21523223, -21523257, -21523305, -21523367, -21523443?\nAnswer: -21523533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -178628, -357250, -535872, -714494, -893116?\nAnswer: -1071738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -36322*s**2 - 215240 wrt s?\nAnswer: -72644*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**2 - v**3 + 0 + 6*v**2 - 3. Let j(f) = -2*f**3 + 5*f**2 - 5. Let z(c) = -5*b(c) + 3*j(c). Let z(t) = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 10*i**2 - 18*i + 8. What is p(-12)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 245*o - 11. Let t be g(5). Suppose -2*h + 3*f + 618 = -594, 4*f + t = 2*h. Suppose 0 = 8*u - 1741 - h. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w**2 - 5*w - 2. Let k(u) be the first derivative of -u**2\/2 - u + 574. Give -i(f) + 5*k(f).\nAnswer: -4*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50401 is divided by 16771.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 402572494*h**4*w + 223981655*w wrt h.\nAnswer: 1610289976*h**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 223 - 238. Suppose -4*m + 7 = -1. Let i(j) = 3*j**m - 2*j**3 + 3*j**g - 6*j + 1 + 2. What is i(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 588 and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 PM and 9:06 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/2, -158, 1280.7, 2\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*k - 11*k + k)*(2633 + 2536 - 4968).\nAnswer: -4824*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 - 6*y - 1. Let f be j(-5). Is 69\/2*f\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 6*a + 3. Let s be b(6). Is 1\/((6\/314)\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 10*u - 15. Let o(t) = 7*t - 13. Let y(j) = 2*b(j) - 3*o(j). Let f(r) = -3*r + 10. Let m be f(7). Is 4 a factor of y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*x + 37*x = 10. Let d(b) = b**3 + 8*b**2 + 11. Let r(m) = m**2 + 2. Let k(s) = x*d(s) - 6*r(s). Determine k(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3183 or 3184?\nAnswer: 3184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -1237*m**3 + 89 + m**2 - 90 + 1280*m**3 - m. Give n(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 9:42 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/120 - 9) + 9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 + -11)*-1 + -5. Let n be (-1 - -6)*d\/10. What is the fourth biggest value in n, 5, -2, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -9*c**3 + 4*c**2 + 5*c + 3. Let q be y(-2). Suppose 4*v = v + q. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2301 is divided by 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b**3 + 588*b - 588*b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 19 = -5*n, 0 = 3*i - n - 4 - 5. Let f be (i\/30)\/((-12)\/15). Suppose 0*g + 6 = 3*g. Sort 1, f, g in ascending order.\nAnswer: f, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 - x**2 - 6. Let y be i(3). What is the greatest common divisor of 372 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of 1\/6*h**3 + 1 + 1\/36*h**4 + 0*h**2 + 40*h. Factor t(d).\nAnswer: d*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -y, -y = -g - 3*y + 6. Suppose p - g*o = 4*p - 12, 3*o - 4 = -p. Let r = 4 + -9. Sort 5, r, p in decreasing order.\nAnswer: 5, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 9*s - 9*s - 2*s. Let t(p) be the third derivative of p**6\/45 + p**3\/6 - 2*p**2. Let x(g) be the first derivative of t(g). Determine x(o(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 225 - -2de?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffafaffffa?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22\/(-20) - (-56)\/(-140). Let n = 83 - 82.89. Is n greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/6165495 or 1?\nAnswer: -2\/6165495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j - 7 + 1. Let o be (-5)\/(-2 + 1) + j. Suppose 2444 = 4*w - 2*a, -o*w + 1176 = 5*a - 644. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = r - 5*r. Let d = -37.14 + 38. Let x = 0.14 + d. Which is the closest to 1\/2?  (a) -3  (b) r  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -871 - -949 - (2 + 0 + -26 + 8)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*v - 6*v - 4*v + 135 + 9*v + 2*v in the form p + j*v and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 1:00 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -37831\nAnswer: 11349.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 122486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 391386 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in decades?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39*a*c*m**3 - 12*a*c*m + 31*a*m**3 - 13*a*m**2 + 2*c*m**3 + 255*m**3 + 2537*m**2 wrt m.\nAnswer: -234*a*c + 186*a + 12*c + 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 128*c**3 - 7*c**2 + c + 11. Let w be k(3). Suppose -4*t + w = -5*r + 256, 5*t + 4*r = 3949. What are the prime factors of t?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 422390 and 5195397.\nAnswer: 51953970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 + 3*x + 6. Let v be -1*(1 - 0)*-1. Let s(g) = -4 - 4 + 3 + 6. Determine v*y(b) - 6*s(b).\nAnswer: b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 644*i**2 - 14097*i + 57386203 wrt i?\nAnswer: 1288*i - 14097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, g: 6, f: 4, k: 1, e: 4}. What is prob of picking 1 g and 1 k?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-25)*16\/12*(-765)\/(-204).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 18\/90 - (21\/5 - 2). Which is smaller: -4\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + n + 16 = 0. Let z = n + -4. Suppose -3*x + 16 + 0 = t, 0 = -3*t + 5*x + 6. Solve t = -z*d - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/1741672 and -57\/22641736.\nAnswer: 22641736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6000 divided by -375?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**2\/2 + 3*i - 1. Let p be r(2). Let o(q) = -1. Let u(m) = m - 1. Calculate p*o(c) + u(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {x: 1, v: 1, w: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*g**5 - 3856*g**4\/7 - 13904*g**3\/7 + 4288*g**2\/7 = 0. Calculate g.\nAnswer: -134, -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 57d0f (base 16) in base 5?\nAnswer: 43002240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 318 a factor of 7695036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 58421*j*q**3 - 3*j*q**2 + 124095*j + 4*q**2 - 2 wrt q.\nAnswer: 175263*j*q**2 - 6*j*q + 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyqooboogqobgogqgy. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -563290465 + 261254?\nAnswer: -563029211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/21, -1, 0.2, -101 in increasing order.\nAnswer: -101, -1, -2\/21, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000048035 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 + 7063?\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2 + 1)*-7)\/1. Let l = p - 5. Solve 3 = l*d - d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2931 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(-3)*114\/(-95). Suppose -5*b + 459 = o*i + i, 2*i - 305 = -3*b. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 x when three letters picked without replacement from {l: 8, x: 5}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1451, -1444, -1437?\n\"Answer: 7*z - 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (492\/48)\/((-7)\/28).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-82)\/205 - 114621\/(-33715) - 3. Is n at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -120902805 by 1.\nAnswer: -120902805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/20*((-5428)\/(-230) - -18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a. Suppose 5 = -5*q - 10. Let o be t(q). Let w(y) = y**3 + 7*y**2 + 5*y. What is the units digit of w(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*w = 16*w + 4*v + 22, 0 = 3*w + 5*v + 19 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -5*t + 9. Suppose -c + 0*c = -18. Let l(a) = 2*a + 6 - 4 + 0*a - 3*a. Let q be 3\/9 - (-13)\/(-3). What is c*l(s) + q*x(s)?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1132\/7 - 162. Suppose -h + 2 = -4*z + 6*z, -5*h + 4*z = 4. Is q at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((3 - 0) + 19)*-413. Let u = n - -109109\/12. Let m = u + -37\/12. Find the common denominator of m and -89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2 + 2. Let s(f) = 4*f**2 - 5. Let c be 0*(-2 - -1) - 2. Determine c*s(n) - 5*u(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, 17, 17, 7, -19, -67, -143?\n\"Answer: -d**3 + 4*d**2 - d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -0.4. Suppose -5*x + 5 = -5. What is the third biggest value in t, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 204*f**3 + 648*f. Let x(r) = -25*r. Determine -2*a(i) - 99*x(i).\nAnswer: 27*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56\/81 + 2\/81. Let t = -0.9 - 14.1. Let x = 23435 + -23430. Sort f, t, x in descending order.\nAnswer: x, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of 1\/300*y**6 + 1\/150*y**5 - 22*y**2 - 3 - 1\/1050*y**7 - 1\/1680*y**8 - 1\/30*y**3 - 1\/120*y**4 + 0*y. Factor s(x).\nAnswer: -(x - 1)**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (13 - -1 - 13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8d (base 14) to base 16\nAnswer: -7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -2. Suppose i - 5*m - 36 = 0, i - 60 = -s*i - m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 282059133183\/31630 + -8917456. What is the common denominator of s and 59\/10?\nAnswer: 31630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3128511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.1 and 0.1916.\nAnswer: -0.78556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-4246)\/(-280))\/11 + 16\/28 and -17\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 - 22*g + 2. Let l be u(-22). Let p be (-2)\/(-6)*((-130)\/39 + l). Sort -17, p, 4 in ascending order.\nAnswer: -17, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3027\/5 + -605. Let x = 5 - 4.7. Which is the nearest to i?  (a) -4  (b) -5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 50 - 20 = 0. Let y be (-52)\/(-35) + -1 + 10\/z. Is y smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwogpwwwwwp. What is prob of sequence pwo?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express c**2 + 1170 + 1387 - 2418 + 31*c**3 in the form s + l*c + n*c**3 + j*c**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -p, 2*k - 3*k = 2*p - 1485. Suppose -t + 4815 = 2*t. Let a = t + k. Round a to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -4*l - 4. Let c be o(-2). Solve c*f - 10 = 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-23)\/184 + 1478585\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 4. Suppose 2*v - 3*i = -1, 4*i = 3*v - 0*v. Let z be x(v). Find the third derivative of 4*n**2 - 8*n**2 - 2*n**4 - 2*n**z wrt n.\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 1499516*m. Let c(l) = -9*l. Give y(c(j)).\nAnswer: -13495644*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -3*u + 6. Let i(d) be the third derivative of 7*d**4\/24 - 13*d**3\/6 - 14*d**2. Let q(z) = 6*i(z) + 13*o(z). Let t(m) = -17*m. What is t(q(c))?\nAnswer: -51*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 7}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 1507279.\nAnswer: 1507277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4813 - 1777. What is a rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100110010 + 11101110?\nAnswer: 10000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 209537 and 67838.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by -530812?\nAnswer: -5\/265406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 5*t + 5*n = 2794, 3*t = 5*n + 2804. Suppose 2*f - i = t, 5*f + 5*i - 2105 = 205. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 12000\nAnswer: 36000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 + -0.25765.\nAnswer: -4.25765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 + 2 = -5*x - 5*y, 2*x - 5*y = -20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-36)*-3 + 112\/12. Sort q, 2, -14 in descending order.\nAnswer: q, 2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -859796*1.\nAnswer: -859796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 452, 454, 456?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 12*r + 5. Give a(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6400 is divided by 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -92 - -106 - (4 - -28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2544*c**2 - 2489*c**2 - 32*c**2 - 4761*c**2 - 5010*c**2 in the form r*c + l*c**2 + u and give l.\nAnswer: -9748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9111134 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 2079701928*o + 360430009110576432.\nAnswer: 3*(o + 346616988)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f**3 - 34293 + 34293.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*r - 43 = 47 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 + 10*w**2 - 7. Let k(r) = r**2 - 1. Let c(l) = -b(l) + 4*k(l). Let i be c(6). Let a be (-4)\/12 + (-10)\/(-3). Solve 6 = i*z - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (27\/2)\/((-81)\/(-54)). Solve x*d - 3 = 2*a + 6*d, -2*a = 2*d - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q**3 - 7*q**2 + 5*q - 4. Let i be ((-6)\/12)\/(1\/4)*-1. Let h be t(i). Let u(s) be the first derivative of -s**3 + s**2 + s - 2. What is u(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 + 3*l**3 + 6 - 12*l**3 - 53 + 11*l**3.\nAnswer: 4*l**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3400, -22, -0.2, -0.8, 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 433333+-2.4764\nAnswer: 433330.5236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -66 + (47 + -87 - -139).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of d**7\/1008 - 7*d**5\/60 + 5*d**2. Let v(i) be the third derivative of s(i). Let g(n) = -4*n. Determine g(v(q)).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100110111 + 110101010101?\nAnswer: 101000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 177*z - 184*z - 49 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20561412, -20561414, -20561416, -20561418?\nAnswer: -20561420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -18. Let p = o + 16. Let i be (0\/(-8))\/(2 - p). Solve 3*s - s = i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/20 and (38\/4)\/((-2)\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v\/((v\/(v\/(v\/v**(-2\/19)*v)))\/v)))\/v**1)\/(v*v*v**(-3\/5)*v*(v**(7\/5)\/v)\/v))**(4\/7) assuming v is positive.\nAnswer: v**(-92\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 + 9*u**2 - 3*u**2 + 2*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2\/517 - -14486\/2585. Let u(a) be the first derivative of 0*a**3 - 28*a + 29 + 0*a**2 + 0*a**4 + c*a**5. Differentiate u(z) with respect to z.\nAnswer: 112*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + 9*o**2 + 11*o + 6. Let g be w(10). Let d be -10 - 25\/(275\/(-3102)). What is the greatest common divisor of d and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h + 1. Let o(t) = -11*t**2 - 5*t - 26. Let p(r) = -6*g(r) - o(r). Let q(a) = -4*a**2 - 4*a - 7. Give -6*p(z) - 17*q(z).\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(7)*1) + -1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -79*m**2. Let l(n) = -n. Give l(j(t)).\nAnswer: 79*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 45*i - 1. Let o be (2 + -3)*4*(-2)\/4. Let l(u) = 11*u. Let h(j) = o*k(j) - 9*l(j). Give h(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 51 + -111. Is -59 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - ((6 - 88) + 6 + 4 + 10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1413429808 from -1.28449.\nAnswer: 1413429806.71551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 4, 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*j - 40 = -5*v + 36*j + 32*j, 37 = 8*v - j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 11, g: 2}. Give prob of picking 4 z.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-16 + 7 - -9). Let x(q) be the first derivative of -4 + 1\/36*q**6 + 0*q**5 + 1\/12*q**2 + z*q - 1\/12*q**4 + 0*q**3. Factor x(p).\nAnswer: p*(p - 1)**2*(p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/18 - (-2)\/9. Let v(s) be the first derivative of -j*s**3 - 3 + 0*s + 0*s**2. Let h(o) = 5*o. Calculate v(h(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*n - 56 - 22. Let w(h) = h**2 - h - 1. Let m(g) = -8*g**2 + 6*g + 4. Let b = -137 + 136. Determine b*m(l) + n*w(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 33*i**2 + 44*i. Let a(s) = 13*s**2 - 50*s - 18. Let o(r) = -3*r**2 + 11*r + 4. Let m(g) = 2*a(g) + 9*o(g). What is -132*m(q) - 3*w(q)?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/(-240)*(-4)\/18*1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 834330648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t + 51*t - 30*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13999\/3 - 144656\/31. Is b at least -3\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-1 + 0) - -5) + (-159 - -135)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(1\/2)*c)\/c)**(1\/43) assuming c is positive.\nAnswer: c**(1\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q - 17*q + 144 = -3*w, -67 = w + 5*q. Which is greater: w or -60?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 437*u + 2264 - 2264 as o*u + z and give o.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + y + 23757 = 0, 4*y - 19002 = -4*u + 3*y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1852682539 to the nearest integer?\nAnswer: 43043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 228*c**2. Let v(j) = 17*j. What is v(s(d))?\nAnswer: 3876*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, z: 1, l: 4, c: 4, h: 6}. Give prob of sequence lgc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2*w - 4 = 4*w, 4*g - w - 2 = 0. Suppose g = -4*z + 3*z + 28. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxej when four letters picked without replacement from {j: 4, x: 10, e: 6}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9924 + 1600\nAnswer: -8324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10465543 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**3 + 3*q**2 + q + 2. Let i be r(-2). Let o = -2 - 2. Is o equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 - 13*u**2 - 32*u**2 + 8*u**2 - u**2.\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 AM and 7:37 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 186 divide 3836800157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 5*r**2 - 2*r + 2. Let c(m) = -3 - 1 - m + 3. Let o be c(-3). List the prime factors of y(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1300 (base 6) to base 3.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 3*j - 283. Suppose -9*w - 23 = -j. Suppose -n + w + 10 = 4*x, 122 = 5*n + 3*x. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110010001 (base 2) in base 6?\nAnswer: -1505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*d + 6\/7*d**2 + 0 - 6\/7*d**3.\nAnswer: -6*d**2*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2 + 3*o - 8. Let v(r) = r - 1. Let h(u) = 3*v(u) - z(u). Let p(s) be the first derivative of h(s). Let x(c) = c**2. What is x(p(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7861203.\nAnswer: 3, 7, 124781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 562 and 5403.\nAnswer: 3036486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y**3 + y + 6*y**2 + 8*y**3 - y**3. Let t(h) = h + 5. Let q be t(-11). Calculate n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 312701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2860952 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-12)\/(-15))\/(4\/(-40)*-4). Suppose -6 = -h + a. Let c = -13 + 15. Calculate the remainder when h is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -3\/10  (c) -4  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -48*l. Let u be z(1). Let n be (2\/(-4))\/(2\/u). Suppose 0*h - 4*j - 37 = -3*h, 3*j = -n. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106572150 divided by -90\nAnswer: 1184135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jdrzmdjr. Give prob of picking 1 m, 2 r, and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 6*a + 2. Let p be j(-6). Suppose -103 = -o + p*n + 24, -4*o + 516 = -4*n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-22)\/8 - (-3)\/(-12). Let k(i) be the third derivative of -i**4\/3 + 5*i**3\/6 - 2*i**2 + 244. Does 4 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hffhhh. Give prob of picking 2 f and 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 28. Let t(q) = q**2 - 19. Suppose -5*j = -3*n - n - 35, -11 = n + j. Let g be 6*1 + n\/10. Let x(m) = g*o(m) - 8*t(m). What is r in x(r) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 606*s**2*v**3 + 780*s**2*v - s*v**3 - 30749*s*v**2 - 30852*v**3 + v**2 wrt v.\nAnswer: 3636*s**2 - 6*s - 185112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 8 = b. Let g(m) = 3*m**3 + 2*m - 3. Calculate the remainder when g(b) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 3*(-6 - -3). Let r be 8\/20 - 156\/q. Suppose -5*v + 248 = -312. What is the highest common divisor of r and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3370 is divided by 1047.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.84 - 59.94. Let u = i - -52. Which is the fourth smallest value?  (a) -0.5  (b) u  (c) 14  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9 and -270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -403*y = 10*k - 407*y + 118, -2*k = 5*y - 104 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 5.12+-219\nAnswer: -213.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 7. Let p = 4624\/3 - 1541. What is the nearest to -1\/3 in -0.5, z, 0, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1303935907 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 PM and 11:12 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*w - 5*q = 17*w + 580, -w + 128 = 5*q. Calculate the remainder when w is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9589*l**2 - l - 20 + 20 - 9483*l**2.\nAnswer: 106*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34152 is divided by 11371.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 52\/6*(-7 - -34). Let r(b) = b**3 + b**2 + 26. Let l be r(0). Calculate the highest common factor of l and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 24 + 1 = 0. Let x = 18 + l. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.4 + 26. Let j = -0.6 + q. Let g = j + -17.99999964. What is g rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + 1 - (0 - 3). Let o = 93680 + -93670. What is the highest common divisor of o and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 175975445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9507.\nAnswer: 3, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**3\/11 + 1890*g**2\/11 + 595350*g\/11 + 62511750\/11 = 0. Calculate g.\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -16, 4, 14, 8, -20, -76, -166?\n\"Answer: -w**3 + w**2 + 24*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1524, 3098, 4672, 6246?\n\"Answer: 1574*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -3  (c) 0.4  (d) 1  (e) -2\/3  (f) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -146420979 by 4.\nAnswer: -146420979\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/44 and -131\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 7*l + 6. Let z be k(-5). Let g = z - -4. Suppose -4*q + 3 = 3*y - q, 2*q = g. Solve f = -5*a + 2*a + y, a - 1 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2001, 2342, 2897, 3666, 4649?\n\"Answer: 107*k**2 + 20*k + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 18375?\nAnswer: -1\/3675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -103*f = -1298 + 371 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -3, 2, 4\/7, -2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 4*w**2 - 3*w - 2. Let u(v) = v**3 + 4*v**2 + 4*v + 2. Suppose 148 = -41*n - 16. Calculate n*h(c) - 3*u(c).\nAnswer: c**3 + 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 86059930 divided by 3911815\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 5*n = -162. Suppose 3*v - v = 4*u + n, -5*v - 5*u + 105 = 0. Calculate the greatest common factor of v and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 7097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 23 - 19. Let c = -2 - y. What is the lowest common multiple of c and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x**2 + 5 + 0*x**2 + x**2 + x**2 + x. Give f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2400637*m - 304 = -2400653*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 759.\nAnswer: 1\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -882679.\nAnswer: 353071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -12*s**2 + 3*s - 8. Let c be v(5). Suppose i = -3*u + 1, 0 = -4*u + 2*i + 2*i + 28. Is c*1*u\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 2*i + 20202 = 0, 0 = 4*s + 3*i + 7083 - 27280. Does 101 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004255912 rounded to 5 decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -18*p - 5. What is the tens digit of u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43773\/32 - -111855\/32. Let d = 4856 - q. Calculate the common denominator of -59\/22 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 96944 * 0.137.\nAnswer: 13281.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -z**4\/3 + 10*z**3 + 252*z**2 + 1656*z + 3456 = 0?\nAnswer: -6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**3)\/(v*v\/v**(-17)))\/(v**(-10)\/v*v**(-7\/5)) assuming v is positive.\nAnswer: v**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-13)\/q**(2\/3) assuming q is positive.\nAnswer: q**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(3\/2)\/k*k**(-5)*(k*k**(-11)*k)\/(k*k**5*k) assuming k is positive.\nAnswer: k**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -93c + -11?\nAnswer: -94d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 189, 607, 1471, 3003, 5425?\n\"Answer: 37*d**3 + d**2 + 156*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/11 at most as big as -2\/10733689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -5*r + 37. Let c be w(7). Suppose 2*a - z + 0*z - 24 = 0, 0 = z + c. Which is bigger: a or 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3 + b**2\/8 + b - 1\/8.\nAnswer: -(b - 1)*(b + 1)*(8*b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 + 54 + 26)*(-3*p - 2*p + 7*p + 0*p + 2*p - 4*p + (p + 3*p - 3*p)*(-1 + 4 - 1) + p - p + p + 0*p - p - p - 2*p + 0*p + 0*p).\nAnswer: -109*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -2*g**3 - 4*g**2 - 6*g - 19. Let a be p(-3). Let d be ((-17)\/4)\/(13\/(-676)). What is the greatest common divisor of d and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 7*w + 2*w - 17 = 0, -8 = -3*j - 4*w. Let x(z) = 3*z - 9. Let y be x(j). Suppose t + t = -20. Sort t, y, 1 in descending order.\nAnswer: y, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -3*u**3 - 2*u**2 + 5*u + 8. What is the least common multiple of y(-3) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3340 + 4300. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12 - -232335?\nAnswer: 232323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f = 470, 21625*i - 21622*i + 3*f + 21 = 156 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of 19*t**8\/336 + 9*t**4\/8 + t**3\/3 - 4*t**2. What is the second derivative of j(g) wrt g?\nAnswer: 380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -13, -5, 0.21?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -31*a. Let f(p) = 25*p**2 - 9*p - 36. Let d(t) = 224*t**2 - 80*t - 320. Let g(k) = -9*d(k) + 80*f(k). What is n(g(j))?\nAnswer: 496*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) + -3 - (5 + sqrt(25)\/sqrt(5)))**2*-6.\nAnswer: -2304 + 768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(1331)*-1*6 - (-1 + sqrt(1331) + 0)) + 1)*3)**2*-4.\nAnswer: -2347900 + 3696*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t + 4*t - 3*t + (0 - 4 + 1)*(-35 + 35 - 10*t).\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -7 + 2 + 0 + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hhjhhjmjh?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.009, 1632, 2\/7, 0.07 in increasing order.\nAnswer: -0.009, 0.07, 2\/7, 1632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33 and -3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*x = 10 + 4, -2 = x. Suppose -2*j - 28 = -p*d, 5*d - 13 = -3*j + 11. Solve -5*f - 4 = d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -12. What is the tens digit of n\/10 - 1188\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7632 and 456912.\nAnswer: 24216336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3739, 3828, 3977, 4186, 4455, 4784, 5173?\nAnswer: 5622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 8*z. Let f(l) be the third derivative of -l**4\/8 - 3*l**2. Give f(s(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33784, -33781, -33778, -33775, -33772, -33769?\nAnswer: -33766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 99268864553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**4\/3 - 2*s**2. Give z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.1183 - 0.1183. Which is the third smallest value?  (a) -1\/8  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 51*v**4 + 380*v**3 + 849*v**2 + 711*v + 151. Let a(t) = -13*t**4 - 95*t**3 - 212*t**2 - 178*t - 38. Let n(r) = 9*a(r) + 2*c(r). Factor n(p).\nAnswer: -5*(p + 2)**3*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/68 and -17\/1150.\nAnswer: 39100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 22447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 5 = -4*u, -5*h - 5 = -5*u - 0*u. Let x be 18\/81 - (-142)\/9. Let r = x + -13. Solve u = -r*f, -2*f - 2*f = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 3*j + 4. Let d be n(-7). Suppose -5*s - v = -d, 5*s - 3*v - 240 = 2*v. Suppose 0*z = 2*z - s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express y**2 - 2*y**3 + 3*y**3 - 2*y**3 + 12*y**2 as b + s*y**2 + o*y + n*y**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 743 = 4*q + 3663. Find the common denominator of 2\/10*q\/4 and 6\/(-27) + 2120\/225.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-27) + 814\/99. Let t be (-51)\/57 - b\/76. Let k(f) = 2*f + 4. Let c(n) = -1. What is t*k(a) + 3*c(a)?\nAnswer: -2*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -95 - -97. Let z(y) = g*y - 7*y - 3 + 3. Let p(k) = -3*k + 4. Let w(i) = -i + 1. Let q(s) = -3*p(s) + 12*w(s). Determine z(q(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(4\/13)*f*f*f\/(f*f**(1\/10))*f*(f**(-9)*f)\/((f**(-4\/11)*f)\/f) assuming f is positive.\nAnswer: f**(-6333\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-2 - sqrt(119) - sqrt(119))\/sqrt(7)*3.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17 - 4)*(-1012)\/207*6\/4. What is the greatest common divisor of s and 616?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2*sqrt(243)*4*1)**2 + ((sqrt(33)\/(-3*sqrt(11)) + sqrt(3))**2 - (-2*sqrt(3)*2)**2).\nAnswer: 46522\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 5*r**2 + 4*r - 5. Suppose -3 = -2*l - 13. Calculate h(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(126)\/(sqrt(2) - sqrt(2)*4 - sqrt(2)) - (2*sqrt(126))\/sqrt(2))*5)**2*1.\nAnswer: 127575\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16733790 and 289226?\nAnswer: 117136530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3*k**2 + 55*k - 207. Let r be f(13). Which is greater: -1\/597 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/28 - 1770\/(-1260))\/((-550)\/(-15))\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of 26*g**3\/3 + 7*g**2\/2 - 35*g. Is 40 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 4*y**2 + 8*y - 16. Is 16 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ovv when three letters picked without replacement from {v: 3, o: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 40087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32197342 and 4916?\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/252 - (3\/4)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 44\/(-6215)*(-10)\/(-404). Let u = -193985\/205434 + n. Are -1 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -350 = 3*a - 8*i + 13*i, -516*a + 516*a - 70 = i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 680 = -979*d + 996*d. What is the greatest common divisor of 980 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 77833.54ml?\nAnswer: 77.83354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 287 a factor of 52808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -3 and 402 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of s**5\/2 + s**4\/3 - 2*s**2 - 2*s + 42. Let r(n) = 21*n**3 + 9*n**2 - 9. Calculate 4*r(c) - 9*u(c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 2)*((-5 + 4 - 1)*(4*q**3 + 4*q**3 - 7*q**3) - q**3 - 3*q**3 + 8*q**3).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-846)\/(-705))\/((-6)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4874256 divided by -27.\nAnswer: -180528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 4*x - 140 = -w, 4*x - 512 = -4*w. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = 5*x - 1953, 4*x - 2*f - 276 = 1272. Is 44 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 30*h**2 + 13*h + 325. Calculate b(-30).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -619515 + 594734489\/960. Find the common denominator of t and 41\/220.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11 + 15. Solve 3*m = t*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - f + 1. Let r be d(2). Suppose 2*z - r = -5. Suppose -3*b - 2 = -4*g, -5*g - 3*b = -g + 10. Do g and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7237685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-3) + 40\/(-12) - (18 - 23). Sort y, 5, -2961.\nAnswer: -2961, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 17*w**2 - 6*w - 16. Let s be o(-3). Let t = s + -77. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46459771307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -44a3875 - 1?\nAnswer: -44a3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 2*m**2 - m - 4. Let n(c) = 0 + 0 + 4 - c**2. Let h(u) = 4*n(u) + 3*r(u). Is 10 a factor of h(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223056*r - 115414*r - 107639*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from hhyyhyzyhzhz?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10596 is divided by 127.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v + 2*v + 3*v - 92907553142*v**3 + 92907553132*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7425*h**5*y**3 - h**2*y**3 - 12*h*y**3 - 142*h*y wrt h?\nAnswer: -445500*h**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 112 - 86. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4060256\/29 + 140029. Let y = -20 + h. Let p = y + -113\/319. Which is the second smallest value?  (a) -5\/4  (b) 1  (c) -4  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8, 26, -5, -23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:50 PM and 3:27 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3734?\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 4*g - 242*g**2.\nAnswer: -242*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 2) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1012209, 2024482, 3036747, 4048998, 5061229, 6073434, 7085607?\nAnswer: 8097742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 34551 and 5058 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003025641 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/11, -0.05108, 4, 3, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 9:41 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.7637 - -0.734. What is u rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -793 = -111*l - 16 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/9, 1, -383\/4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70 + -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zhvhvhljvhlrzzz. What is prob of picking 1 h, 1 l, and 1 j?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i + 3*x - 3, -19*x - 140 = -8*i + x - 36 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**3 - 2*d**2 - 5*d + 5. Calculate f(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 333 = 4*r - 71. List the prime factors of r.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*(((h\/(h\/(h\/h**2))*h)\/h)\/h)\/h*h*h*h*h**3*h**5\/(h\/h**4) assuming h is positive.\nAnswer: h**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 126 = -9*o. Let h = 256 + -141. Suppose -h = o*m - 577. What is the highest common factor of 154 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -16, -26, -42, -64?\n\"Answer: -3*m**2 - m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*-1*3\/9. Let a be 2\/14 + l\/1. What is the biggest value in 1\/3, -0.2, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5147531 - 527.1686.\nAnswer: 5147003.8314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/102*(-1899)\/(-3165)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 0)*(-1 + 2*w + 1 - w - w + 3*w + (2*w - 2*w + w)*(3 + 1 - 3) + w + 7*w + 0*w)*(14 - 14 - 71*w).\nAnswer: 1704*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*t = 230*t. Solve t = -84*n - 207 - 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 2*d**3 - 3*d**2 + 3*d - 3. What is g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8825*h**2 + 4848*h**2 + 21607*h**2 - 15*h + 426*h**2.\nAnswer: 35706*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 6 = c. Suppose 3*p = 3*s + 3978, s + 1322 = c*p - 0*p. Let v = s + 11953\/9. Calculate the common denominator of 53\/11 and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.23, -2585, 1\/5, 3, 0.5, 4.\nAnswer: -2585, -0.23, 1\/5, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -389.06785951 - -0.047.\nAnswer: -389.02085951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1900037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*n**2 - 5*n**2 + 22*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 + -8. Let g = s + 47. Let y = g - 49.4. Which is smaller: 1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -8365 = -8366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47176256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -39\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10868537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2727*-0.4.\nAnswer: 1090.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.129?  (a) 0.19  (b) 4  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 54881 less than 1?\nAnswer: -54880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8345973g to tonnes.\nAnswer: 0.0000008345973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 66, 477, 1586, 3741, 7290?\nAnswer: 12581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-3)\/36 + 14\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 5*f**2 + 3*f + 6. Let h be l(4). Let x(o) be the second derivative of 4*o - 1\/3*o**3 + 5\/2*o**h + 0. What is x(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 171*j + 48*j + 38*j - 131*j.\nAnswer: 126*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.029?  (a) -1  (b) -2  (c) 2\/5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 14*m + 143. Calculate q(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/((x\/(x\/x**(-1\/2))*x*x)\/x*x))**(-41)\/((((x**(-1\/3)*x)\/x)\/x)\/x)**(-43) assuming x is positive.\nAnswer: x**(-479\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(3\/14)*h)\/h**(-10)*(h\/h**(-24))\/h*h**(-1)*h assuming h is positive.\nAnswer: h**(521\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19762629 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30*v + 109860*v**3 - 109860*v**3 + 2 + 2*v**2 + v**4 to o*v**3 + q + l*v + c*v**2 + w*v**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 775618, 775614, 775610, 775606, 775602, 775598?\n\"Answer: -4*g + 775622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12988, 12986, 12984, 12982, 12980?\nAnswer: 12978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6.5 - -9. Let n = 2 - g. Which is the nearest to 1?  (a) n  (b) 0.3  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(110)*1)\/(2*(sqrt(10) + sqrt(10) + (-2*sqrt(640) - sqrt(640)))).\nAnswer: 3*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 13 + -66a9?\nAnswer: -6696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1\/2, 3, 2\/11, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2\/11 - 17\/33. What is the nearest to -2 in -2, -4, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -5*u**3\/2 - u**2 + 15*u. Differentiate r(b) with respect to b.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 185 = p, p = -11*x + 7*x + 191. Calculate the remainder when x is divided by 26\/(-4)*(5 + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (19 + -11)) + -9 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + a - a**4 + (-2*a + 3*a - 6*a)*(777 - 777 + 105*a**3) in the form l*a + j*a**2 + u + m*a**3 + z*a**4 and give z.\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60 - -16. Let x be ((h\/(-8))\/(-11))\/(1\/4). Let w be -3 + (-2 - -3) - x. What is the smallest value in -1\/3, -0.4, -4\/5, w?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1976.5 - 1977. Which is the fourth biggest value?  (a) 0.02  (b) -0.4  (c) 7  (d) 2\/15  (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 742 is divided by 123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2308 (base 9) in base 16?\nAnswer: 6ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3114?  (a) -0.2  (b) -216  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, -2116, 0, 97 in descending order.\nAnswer: 97, 2, 0, -3, -2116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1\/9, 0.05, 699, -215?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 75503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o\/((o*o*o**(-2)*o*o*o)\/o))\/o)**(-4)\/(((o**0\/o)\/o)\/o)**(-26\/5) assuming o is positive.\nAnswer: o**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -3*a - 8. Let z be y(-4). Solve -z*p + u = 6*u - 40, -30 = -2*p - 5*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.013 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77*c**3 + 352*c**2 - 62*c + 656?\nAnswer: -462*c + 704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (9\/(-6))\/(3\/(-126)). Let m be (-4*13 - 2) + (2 - -1). Let c = m + 58. What is the greatest common divisor of d and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3.9, -5, 16, -46, -9\/77?\nAnswer: -9\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/121 and ((-1)\/2)\/(7\/(392\/(-44))).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by (1044\/(-90))\/((-10)\/25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33824 is divided by 5421?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.058 and -4.\nAnswer: -4.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 73*u**4\/2 - 98*u**3\/3 - 350. Find the third derivative of i(k) wrt k.\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-24)*l**(-24)\/l*l)\/((l*l**(2\/5))\/(l\/l**(20\/3))) assuming l is positive.\nAnswer: l**(-811\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 4. What is the nearest to i in 0.5, 2\/5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from vvvlvlvvalvlvvvlv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -4. Suppose -4*a - 23 = -5*g, -g + 43 = 3*g + 5*a. Let h be z\/g + (-304)\/56. What is the third smallest value in 0.2, 1\/3, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/206918 and -99\/7982.\nAnswer: 2689934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + -9 + -10 + -26 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 2*k + 2665*l - 2666*l, 3*k - 16 = -2*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (152 - 47642850*n**3 + 17*n + 11*n + 47642847*n**3)*(0*n - 3*n + n) as y*n**2 + u*n + z*n**4 + c*n**3 + v and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2232344 - 212?\nAnswer: -2233111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 18 = -3*h + 8*h, 0 = -h + 7*s + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 75 = 2*v - 9, -334*w + 330*w - 3*v = 129 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -2\/877267?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 5, 0 in ascending order.\nAnswer: 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 174 and 9048?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {d: 1, f: 5, p: 5}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38.5 - -38. Let w = 0.9 - 8.9. Let m = w - -8.1. Which is the closest to m?  (a) 3  (b) z  (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1346982 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -257*r**2 + 42*r**4 + 257*r**2 + (-51*r + 9*r**3 + 51*r)*(-4 - 4*r + 4).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 - 63*i**2 - 237*i - 37. What is x(-59)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1702 - 1777 - (-134 - 4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 11015, 10994, 10973, 10952, 10931?\n\"Answer: -21*n + 11036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + k + 1. Let n(w) = 22832 - 2*w**3 + 22824 - 4*w - 45656 + 3*w**2. What is -n(z) - q(z)?\nAnswer: 2*z**3 - 2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -110724 less than or equal to -110724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*n + 126 = 0, 0*v + 2*n = 4*v - 236. Suppose 9 = 2*o - v. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/16*-558 + -5. What are the prime factors of (-36)\/126 - (2 + p\/14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 478 - 4 - 1965 = 213*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3*u = -2*u + 65, 8 = 2*u. Is h < -2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 2:31 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -79, -129, -177, -223, -267, -309, -349?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7719 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 48\/35, -2\/13, 0.4 in increasing order.\nAnswer: -3\/5, -2\/13, 0.4, 48\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 2*i + 3*i)*(3 - 4 + 3).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 283 + 299?\nAnswer: 54c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -601 + 589*x**3 + 110*x**4 - 288*x**3 - 295*x**3 - 286 wrt x?\nAnswer: 440*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 3858481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -95501, 18, -5, -7, -3 in increasing order.\nAnswer: -95501, -7, -5, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**2 - a - 32. Let h be t(0). Let s be 9 + 2 - (h - -38). Solve -2*w - 7 + s = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -0.06, -1, -1\/6, 1\/55 in descending order.\nAnswer: 1\/55, -0.06, -1\/6, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58890 = 23*u - 58798 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/(-390)*-13*(-1164)\/2*74\/(-296)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5a70 (base 12) to base 7.\nAnswer: -41430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 4*b, 0 = -11*o + 12*o + 4*b + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13089648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1702.8 + -1703. Let d be 2\/(-8) - (-15)\/12. What is the nearest to 1 in d, 3, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000772122 rounded to 7 dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*w + 3*w = -3, -5*w + 18 = -2*g. Let j = 3 + g. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 1926 + 1383 = 5*d, -4*d + 2637 = -5*f. Solve 5*v + s - 8 = 0, -v = d*s - 662*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 20. Suppose -1308*w - 54 = -1309*w. What is the greatest common divisor of m and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 475 divide 1248775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rqtjtmur. What is prob of picking 1 m and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2 - 62.284. Let h = f + 69.4. Let p = 0.016 - h. Round p to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/7  (b) -2\/13  (c) -4  (d) -78  (e) 8\/5  (f) 25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7799 = -202*n - 0*n - 281 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = -3*y, 12 = -q - 0*q + y + 29 - 17 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**2 - 2*z**4 + 3*z**2 + (-3*z**2 + 6*z**2 - 4*z**2)*(3*z**2 - z**2 + 0*z**2) - 894*z**2 + 894*z**2 + 23*z**4.\nAnswer: 19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4064201, -4064195, -4064187, -4064177?\n\"Answer: o**2 + 3*o - 4064205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 16434 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k**3 + 4*k**2 + 4*k + 36. Let t(j) = 40*j**3 + 9*j + 291 + 33*j**3 + 9*j**2 - 220 - 66*j**3. Determine -9*o(s) + 4*t(s).\nAnswer: s**3 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0501 + 9.9499. Sort 4\/3, -0.5, t, 4 in descending order.\nAnswer: t, 4, 4\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 11:48 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - g = -9. Let r(n) = -n**2 - 5*n + 1. Let p be r(-5). Let j = g - p. What is the remainder when 4 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 15*n**2 - 24*n - 48. Let q be a(-15). Let m = 550 - q. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 17 = -3*n, 3*n + 12 = y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 860556 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 0*y - 18 = 3*c, 3*y = -5*c - 28. Let r = 8 + y. Suppose r = j + j. Are j and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15632 is divided by 3622?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 y, and 2 h when four letters picked without replacement from {y: 4, h: 4, b: 1, e: 1, a: 4, s: 4}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9960119321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13411 (base 5) to base 15.\nAnswer: -4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s + 3*f + 38 = 11, -3*s - 4*f - 16 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4*x*x**(1\/2))\/(x*x**(3\/7)*x*x**(1\/7)) assuming x is positive.\nAnswer: x**(41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -666?\nAnswer: -266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112890?\nAnswer: 2, 3, 5, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence utb when three letters picked without replacement from {i: 2, u: 1, x: 1, b: 1, t: 1, a: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + (-10)\/2)*2\/(-14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 491 divided by 61587\nAnswer: 491\/61587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*c - 3*c + 0*c)*(0 - 2*c + 0) + 4014*c - 4014*c - 106*c**2 in the form m*c**2 + o + g*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*u = -0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/16?  (a) -1\/8  (b) 21  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 162 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42270 is divided by 1541?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 270\/80 + (-3)\/8. Find the first derivative of -3*b**3 + 6 + 3*b**3 - 4*b**j - 3 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.7114ng to kilograms.\nAnswer: 0.0000000000077114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1140, 1141, 1142, 1143, 1144, 1145?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g + 21*g - 25*g = 1045 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3334601 (base 7) to base 4\nAnswer: 1210221032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23044555 divided by 1.\nAnswer: 23044555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005949929 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rfg when three letters picked without replacement from fffffrrfgf.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129075304?\nAnswer: 2, 1289, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 5*r = -50, -3*y + 44 = 5*r - r. Solve 3*b = -0 - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1239 - 11117907.\nAnswer: -11117906.8761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**4 + 49933 - 50062 + 131*u - 48*u**2 + 87*u - 42*u**3 = 0.\nAnswer: -3, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i. Let j(p) be the third derivative of -p**7\/1680 - 2*p**5\/15 - p**3\/6 - 2*p**2 - 7. Let n(q) be the third derivative of j(q). What is z(n(x))?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.4  (b) 2  (c) 1734\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11669630 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 times -0.043\nAnswer: -0.00172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2695) - (sqrt(2695) + 2*sqrt(2695)))*-3)\/(sqrt(121)\/(sqrt(33)\/sqrt(3)) + sqrt(22)\/(sqrt(2) - (sqrt(2) + 1*sqrt(2) + sqrt(2)))).\nAnswer: 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1672100 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 9. Let o be (c\/9)\/((-2)\/15). Suppose 5*s + 3 = -2*m + o, 0 = 5*s - 20. What is the common denominator of -13\/9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -466*i**3*z**4 + i**3*z - 100*i**3 + 12*i wrt z?\nAnswer: -1864*i**3*z**3 + i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) - (-3 + sqrt(343)))**2 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 3)*(-69*z - 916 + 916)*(-z - 3*z + 3*z).\nAnswer: 414*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 7*b**2. Let g be t(-7). Solve -3*f = -g*f + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -51892\/3 + 17298. Let b(t) be the first derivative of 0*t**2 + t**4 - 18 + 2\/5*t**5 + x*t**3 + 0*t. Factor b(l).\nAnswer: 2*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**2*u)**(-4\/5) assuming u is positive.\nAnswer: u**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 4*a + 4*l - 11, -2 = -3*a + 4*l. Let j(x) = -2*x + 29. Let f be j(17). What is the third smallest value in -1\/6, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -198905, -397830, -596763, -795704, -994653, -1193610, -1392575?\nAnswer: -1591548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 2 = 0, i + u - 9 + 3 = 0. Suppose i*l - 598 = 532. Let q = l - 97. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 3*d**2 + 2*d - 5. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.3, 0.2, 42\/13, -3, -10\/3, 2 in ascending order.\nAnswer: -10\/3, -3, 0.2, 1.3, 2, 42\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -225 = -o - 2*a - 49, -2*a = 4*o - 680. Calculate the common denominator of 103\/28 and 1\/8 + 4039\/o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a + 425847 - 141954 - 141950 - 141943.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -6 + 5 + -11 + 5. What is the closest to 2\/7 in h, 2\/15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 163?\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -175 - 237 + 83*n + 3*n**2 - 8*n**2. Let a(h) = -5*h**2 + 84*h - 411. Let c(r) = -7*a(r) + 6*l(r). Let c(z) = 0. Calculate z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55712 and 1120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*b - 3*q, -2*b + 5*q + 18 - 3 = 0. Let s be 14\/(4\/6*-3). Let g = s + 11. Solve -3*l - 4*r + g = -5*l, -5*r + b = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 2 - 2 - 2. Suppose 0 = -4*l + 6*l - 18. Let q(y) = 1 - y - l + 4. What is q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 29, 71 in descending order.\nAnswer: 71, 29, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (4089 - 0) + 0\/16?\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 2296 = -52*b, -13 + 41 = -25*y + 5*y + 16*y - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24191713 divided by 89.\nAnswer: 271817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**5\/2 - 42103*g**4\/2 - 288270308*g**3 - 1178405782240*g**2 + 1446229583801600*g - 1445050889728000 = 0.\nAnswer: -14360, 1, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1117693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**3 - 7*t**3 + 2*t**3)*(-2*t**2 - 14*t - 5*t**2 + 10*t**2).\nAnswer: -15*t**5 + 70*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 2*q + 4. Let d(w) be the second derivative of 0 + 1\/70*w**5 + 2\/21*w**3 - 1\/14*w**4 + 0*w**q - 3*w. Find y such that d(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 15615?\nAnswer: 31230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, 1.022177 in ascending order.\nAnswer: -5, -2, 1.022177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 274*z**2 + z + 3. Is c(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 10*d**2 + 11*d - 14. Let l be z(9). Let c be 11 + (l\/(-6))\/((-18)\/(-81)). Suppose c*q - 48 = 2*q. Solve q = -4*b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5, -7, -11, -17, -25?\n\"Answer: -w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2 = -4*j + 10, -4*j + 32 = 3*v. Suppose -3*w - 318 = -j*a, -w - 255 = -4*a + 2*w. Suppose -4*x + 231 = 5*q, 196 - 48 = 2*x - 4*q. Is a <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-57)\/266 + 2\/(-7) + 0. Let w be 14\/(-4) - (-1)\/(-2). What is the third biggest value in 3\/4, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b8b3 (base 12) in base 8?\nAnswer: -120107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*r**3 + 3*r**3 + r**3 + (72*r**3 + 1008*r**3 + 1095*r**3)*(2 + 3 - 4) to the form p + m*r**3 + n*r**2 + c*r and give m.\nAnswer: 2172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -98a8 (base 12) in base 8?\nAnswer: -40700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**5\/60 - 5*x**4\/24 + x**3 + x**2. Let g be 2 + -1 + 1 + 2. Let b be v(g). Solve 3*w - b*w = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70714 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**2 - 4*o**2 + 0*o**2)*(-o**2 + 1122*o + 412 - 2251*o + 1129*o).\nAnswer: o**4 - 412*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-6)*1971\/10512.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 40389 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2987*c - 5970*c + 2981*c + 10 = 0. Sort 436, -4, 11, c, -1.\nAnswer: -4, -1, c, 11, 436","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: cdaa (base 16) to base 12\nAnswer: 26576","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + ((-395)\/(-50) - 7)*(-60)\/72.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 3*f**2 - 2*f + 5. Let a be r(4). Suppose 2*p + 3 = a. What is the remainder when 8 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 342 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 times -542960?\nAnswer: -29319840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w**(-15)\/w)*w*w*w**4 assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -2b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*j + 67 - 694. What is the remainder when j is divided by (-4)\/(-10) - 98\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2597821*a**3*g - 2*a**2*g + 21*a**2 + 5*g + 1660 wrt a.\nAnswer: -15586926*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1059d9811 + 3?\nAnswer: 1059d9814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 767858?\nAnswer: 4607148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*w - 92 = 0, -4*u + 8*w + 68 = 4*w. Suppose -4*p + 27 = -u. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3429313.\nAnswer: 31, 110623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 51*y**2 + 9*y + 23. Let b be o(5). Calculate the highest common factor of b and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1799 - 1795. Put 3, -46, -2, i in descending order.\nAnswer: i, 3, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i + 34. Let u be p(5). Let n = 44 + -39. Solve -n*m + 18 = -u*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 98909071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -625 to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1366993 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -102*h**3*t - 16851*h**3 + 16*h**2 + 962382*h*t**2 - 10*h + 2 wrt t.\nAnswer: -102*h**3 + 1924764*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + sqrt(637) + 4 + ((sqrt(637) - sqrt(637)*-2*-3) + sqrt(637) - sqrt(637) - (1 + 0 + sqrt(637))))**2.\nAnswer: -350*sqrt(13) + 15950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 123.5296 + -124. Let g = b - -0.470397671. Round g to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 249 - 173. Suppose z + 275 = 3*u + l, 0 = -4*u + 5*l + 487. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1 - 22*o**3 + 10*o**3 + 13*o**3.\nAnswer: o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.37717922 + -1621.564\nAnswer: -1621.18682078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (8 + 2 - (8 - 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 1. Suppose 196 = -m*o + 6*o. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 8, -0.2, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 6*x - 1. Let l be u(1). Let c be l\/((-5)\/(-2)) + 0. Suppose 3*d - 51 = -c*h, -5*d - h + 34 = -3*d. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13\/8, 0.4, -2520, 1?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2162619 is divided by 1185?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -208, -863, -1966, -3517, -5516, -7963, -10858?\nAnswer: -14201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15*f**2*p**5 - 38*f**2*p**2 + 6*f*p**2 + 72*p**5 wrt p?\nAnswer: -900*f**2*p**2 + 4320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-27)\/(-9)*1\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 71*q. Let a(i) be the second derivative of -2*i**3\/3 - i + 2. What is a(s(v))?\nAnswer: -284*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 47*f**2 + 32*f + 25. Is i(-37) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*(f*f\/f**(-2)*f)\/f*f)\/f)\/(f\/f**(-6)))**(-6\/5) assuming f is positive.\nAnswer: f**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**2 - 7*b. Let j(s) = s - 11. Let a be j(11). Suppose a*q - q = -5. Is 3 a factor of n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 1, e: 1, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sfvvxsbvsvxvvxn. Give prob of sequence bs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -88136527*z**4 - 2286*z**2 - 8430*z.\nAnswer: -2115276648*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*n**3 + 518815*n**2 + 25*n**3 - 16*n**3 - 518815*n**2.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*p + 881 = 0, 0*p = -4*k - p + 3439. Let j = -482 + k. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**2\/7 + 13834*r\/7 + 41484\/7 = 0 for r.\nAnswer: -6914, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85 + 81. Put -3, s, 4, -0.2 in increasing order.\nAnswer: s, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0\/(72\/(-6)))\/(6 - 1). Suppose -5*i = -n + 98, b = -2*n + 18*i - 23*i + 196. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(3\/9) - 7. Let r be (-25)\/c*4\/5. Is -1 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1547681139?\nAnswer: 3, 17, 10115563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*-4 - sqrt(3)) + -4 + sqrt(147)*-2.\nAnswer: -19*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) + sqrt(567)\/(sqrt(9)*-1 - sqrt(9)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 9:04 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 945 + -6617\/7. Which is the second biggest value?  (a) j  (b) -0.08  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -337 + 338. Suppose 0 = -6*d - 11 - 115. Let s be (-6)\/d + 24\/14. Sort -9, o, s, 4.\nAnswer: -9, o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0642445 and -77.\nAnswer: -4.9468265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.1, 4, 0.2898, -22534, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 9) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*g**3 - 2*g**2 - 598*g + 1429 wrt g.\nAnswer: 9*g**2 - 4*g - 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 84\/135 - (48\/20 + -2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.9 in 1\/28, 3, -2\/13, 37.6, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -249083  (b) 2\/3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 0)*(-12)\/(-3). Suppose h*s = -0*s - 12. Let b be (0 + -54)\/s - 2. What is the greatest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 12 + 6*z)*(3 + 3 - 3)*(2*z - 2*z + 3*z).\nAnswer: 54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(-2 - 2 + 5) + 4 + 2 - 2)*(7*x**3 + 21*x**3 - 20*x**3).\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -164, -1724, -6058, -14582, -28712, -49864, -79454, -118898?\nAnswer: -169612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.31 + -0.61. What is the smallest value in k, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 12  (b) 0  (c) 3  (d) 0.5  (e) -32\/31  (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 49\/(-5) + 3\/(-15). Let p = -3 - l. Suppose -10 = -2*o - 0*o. What is the remainder when p is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6456 and 1008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 + 4*x + 41. Let l(q) = -q + 10145. Calculate m(l(b)).\nAnswer: -2*b**2 + 40576*b - 205801429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 361303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 434 + a970?\nAnswer: b1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 77576.8 rounded to the nearest 1000?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1042 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/143 and 19\/65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1552026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*b = -323*b + 167*b + 18 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/17, 2\/3, 0, -1\/4, 5, -9\/44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2092609*v**3 - 86*v + 321598951 wrt v?\nAnswer: -6277827*v**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b + 66*b - 386880 = 0. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 7*c**2 + 8*c + 2. Give b(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - 2770544614264.\nAnswer: -2770544614267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 15*y**3 + 11*y**2 - 23*y. Calculate v(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -319*m - 21 = -3*q - 320*m, 0 = 2*m - 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -42.58.\nAnswer: -212.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*k - 1987 - 3861. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ffff - 3b?\nAnswer: -1003a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10111011101010 (base 2) to base 8.\nAnswer: 27352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 11*k + 4*k. Which is the closest to k?  (a) -3  (b) 3  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**5\/20 - t**4\/12 + 5*t**3\/6 + 3*t**2\/2 - 48*t. Calculate a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28 at least -13996\/483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3459153 is divided by 422.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/22110)\/((-2)\/11).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (-16 - -19) - (-12 + 9 - -55)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -9*h - 5. Give s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 1479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 0.2, -1\/3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 5*q + 50, -10 = 4*q - h + 15. What is the units digit of 0 - q - (1 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2636444 + -1500199. Let u = f - 3636245. Round u to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-11)\/((a**(-13\/2)*a)\/a))\/((a*a\/a**17)\/(a**(-7)\/a)) assuming a is positive.\nAnswer: a**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/30)\/((-105)\/(-252)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 divided by 3?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 6, z: 1, y: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 603 = 51*i + 19*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*h + 16, -4*b - 3*h = h - 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 4. Let a be x(3). Suppose -a*f = -f - 48. Solve y + f = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -4 + 3 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 5:12 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/739 + -1484\/2217. What is the nearest to 0 in 0.3, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*o - 10*o. Factor 2\/5 - 2\/5*j + 2\/5*j**o - 2\/5*j**2.\nAnswer: 2*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 0 - 5\/4*f**2 - 7*f**4 + 7\/2*f - 197\/4*f**3 = 0.\nAnswer: -7, -2\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.5934 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 - -3.03. Let b = -4.7 + 0.7. Let y = 8 + b. Sort y, -0.1, v.\nAnswer: -0.1, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 4*n + 5. Let y be b(-5). Let c(q) = 0 + 7 + y*q - 9. Is c(2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3352531.\nAnswer: 7, 13, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 7. Let g be (5\/f)\/(6 - 5). Suppose g*v + 35 = 3*o, -45 = -5*o - 5*v - 0*v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 0)*(-1 + 3 - 1)*(12*q + 12*q - 16 - 26*q) as d + n*q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -400 - -304.6. Let w = 95.4000431 + h. Round w to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -624991*m*v + 1115033854*m + 678*v wrt v.\nAnswer: -624991*m + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111\/572 and -25\/728?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 31*m**2 - 5*m + 5. Let p be h(1). Let x(i) = 22*i**2 - 26*i - 114. Is x(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4179038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-704)\/(-80) - 8)\/(1\/(115*8)). What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.30684741 less than 758?\nAnswer: 757.69315259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**5\/(o*o\/o**17) assuming o is positive.\nAnswer: o**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -12220313323?\nAnswer: -12220313332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 187*s - 140*s + 1136*s + 187*s.\nAnswer: 1370*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30.9 - -31.845. Let c = 0.49 - f. Round c to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1152)\/(-6336) + (1812\/(-44) - -4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -f + 5*g, 0*f = f + 3*g - 43. Let t = 70 - f. What is the highest common divisor of 156 and t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 3. Let x be u(-3). Let q = -77\/117 + -1\/117. Is x at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i**4\/7 - 15192*i**3\/7 - 941468*i**2\/7 - 926280*i\/7 = 0 for i.\nAnswer: -3735, -62, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5762, 23234, 52352, 93116, 145526?\nAnswer: 209582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of -a**7\/210 + a**6\/10 - a**5\/3 - 360*a**2. Let n(k) = 0. What is k?\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -156103*j**2 + 883*j + 20 wrt j.\nAnswer: -312206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 2*d**2 - 33*d + 309. Calculate q(14).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 4*m + 3*r - 267, 2*r - 134 = -2*m. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(133) + 2*sqrt(133))*-2)\/(6*sqrt(112)))**2.\nAnswer: 95\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 650 - 667 - g**4 - 2*g**3 + 4*g**3 in the form k*g + t*g**2 + l*g**4 + c + h*g**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5611 + -1577. What is the remainder when o is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8421000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 666072330?\nAnswer: 2, 3, 5, 7, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (1 - 3 - -4) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1) - 10\/14. Which is smaller: o or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*h**2 + 6*h**2 + 2*h**3 + 2 + 58*h - 31*h**2 to d*h**3 + f + q*h**2 + k*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1734 and 33.\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-4)\/s)**(-1\/3)\/(s**(-26)*s*((s*s*(s\/s**6)\/s)\/s*s*s)\/s))**(-19) assuming s is positive.\nAnswer: s**(-1729\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**2 - 89*s - 480. Give l(94).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-64) - 77*(-16)\/1664. Find a such that 2\/13*a - t*a**2 + 6\/13*a**3 + 0 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 1 = -6. Let y = 16 + v. Calculate the greatest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -67260000 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -156, -311, -466, -621, -776, -931?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*a + 20*a + 1232 = 0 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 3, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 126 = 38*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 27\/2 of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3*d - 22. Let i(u) = -u**2 + 4*u + 48. Let t(z) = 9*h(z) + 4*i(z). Determine t(-6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 17*r**2 - 121*r - 1640. What are the prime factors of l(-15)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 521?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 514*h - 1019*h + 503*h. Let w(y) = -8*y. What is -9*j(o) + 2*w(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.0231 + -1.9769. Let s = -6 - -18. What is the third biggest value in s, d, 3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of o**4\/3 - o**3\/6 - o**2 + 3*o + 1. Let j(d) be the first derivative of f(d). Is j(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4 - 620*l**3 - 2454*l**2 - 1836*l.\nAnswer: -2*l*(l + 1)*(l + 3)*(l + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 p, and 1 o when three letters picked without replacement from pxvzopppz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s - 16. Suppose -4*i - 3 + 31 = 0. Let u be b(i). Solve 4*m - 5*z - 35 = -2*z, m + u*z = -20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2 - 7 = 0. Let y(l) be the first derivative of l**2\/2 + 3*l + 16. Determine y(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*f - 68*f - 98 = 5*o + 63*f, -2*o = 5*f - 27 + 62 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -4*w - 2. Suppose -19 = -4*n - 3. Suppose 4*g - 4 = n*b, -9 = -4*b + g + 2. Calculate j(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7604.06 plus 67?\nAnswer: -7537.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 16*c + 29. Let m(n) = -16*n - 29. Let g(x) = 5*m(x) + 6*o(x). Differentiate g(b) wrt b.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33996.81um to centimeters.\nAnswer: 3.399681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -4*x + 50935, 22*v + 2*x = 18*v + 67920. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 2 + -1 + -2. Let n be t - (1 - (0 + 1)). Suppose -2*o - 4 = n. What is the closest to 2\/7 in 2\/5, o, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 151311 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (140\/168)\/((-15)\/63).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12074834\/8105 + -7449\/5. Is x greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 551*h**2 - 561*h**2 + 0*h + 9*h + 0*h + 0*h + h**2 + (-3 + 3 - 2*h)*(-2*h + h + 3*h) to the form v*h + u + g*h**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -143.8749 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - (46 - 14)) + -2 + 2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 288 and 992?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2464093?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2045 is divided by 778?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -37*d - 3799. Determine g(-102).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*v + 18*v - 8*v - 12*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3849112\/399243 + (-2)\/(-78)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -u - 5. Let n = 23 - u. Let s = -3 - n. What is the remainder when 27 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 times 0.114?\nAnswer: -0.2052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -2, 2, 1 in increasing order.\nAnswer: -20, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5765192)\/(-440) + 1\/(-1 - -6). Let j = -13060 + w. Let m = -43 + j. What is the second biggest value in m, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2 + (0 + 1 + 0)*(1 + 2 - 1) + (4 - 1 - 1)*(3 - 3 + 2))*(-22 + 47 - 20*s - 27).\nAnswer: -100*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -42 and 124.\nAnswer: -5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 6.\nAnswer: -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -745969\/240 + 3108. What is the common denominator of -47\/12 and j?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 PM and 4:23 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1196466, -1196321, -1196080, -1195743, -1195310?\nAnswer: -1194781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -10*q + 143. Is z(-33) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10824 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 + 14*i - 11. Suppose 71 - 14 = -3*q. What is the smallest common multiple of 12 and j(q)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2448287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2425*s + 559*s - 89430 + 262502 for s.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 361  (b) 33  (c) -107\/5  (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -125.74 and 6644.\nAnswer: -835416.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -31, -1, -0.1, -7067, -3, -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 44*d**3 - 1065*d**2 + 224*d + 156. Let m(t) = 32*t**3 - 710*t**2 + 148*t + 104. Let k(v) = 7*m(v) - 5*u(v). Find the second derivative of k(s) wrt s.\nAnswer: 24*s + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405 a factor of 2433645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) -0.4  (c) 53\/651\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3096963 and 13635?\nAnswer: 46454445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5839.857m in kilometers?\nAnswer: 5.839857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2820 - -2824. Is f <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, -264, -965, -2334, -4593?\n\"Answer: -37*c**3 - c**2 + 7*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 78 - 86. Let t(l) = l**2 + 6*l - 11. Let y be t(s). Suppose -6 = -2*h - r, -2*h + 6*h = -y*r + 24. Which is bigger: h or -2\/53?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b**3 + 7*b**2 - 3*b + 13. Let p(g) = 3*g**2 + 6*g + 1. Calculate the remainder when p(-5) is divided by u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4422 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b15d (base 14) to base 5.\nAnswer: 24110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 915120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**3 + 6*b**2 + 2*b. Let j(h) = -9*h**3 - 11*h**2 - 4*h. Give -6*j(t) - 13*r(t).\nAnswer: 2*t**3 - 12*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of m**5\/12 + m**4 + 17*m**3\/2 + 45*m**2. Is i(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of x**6\/120 - x**5\/30 + x**3\/6 - 3*x**2. Let g be j(2). Suppose s + 2 = f + f, -3*f = -s - g. Is s < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a + 5. Let t be d(4). Let w be t*(-3 + 2)*-1. Let r = w + 18. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -540*f**4 + f**2 + 11 + 255*f**4 + 5*f**3 - 2*f**2 + 3*f**2 + 256*f**4 in the form r + v*f**3 + n*f**2 + x*f**4 + k*f and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 87*u**3 + u**2 - 14*u + 11. What are the prime factors of n(4)?\nAnswer: 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11261?  (a) -2  (b) 2\/9  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 54\/8*(-8 + 12). Let h = a - 12. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -297 = a + 2*z, -z - 2 + 4 = 0. Let w be a\/2 + 6\/12. Is 10\/(-20) - w\/4 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 31\/5 of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, u: 3, f: 1, b: 6}. What is prob of picking 3 u?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(3645)*4)\/(sqrt(18)\/sqrt(2)*6*4).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 3, d: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10\/13 + -7\/26. What is the nearest to 0.4 in w, -2\/13, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 = 2*u + 3*u. Let z be (-2)\/9 - (-120)\/u. Solve -y + 3 = -z*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2354952, 4710001, 7065062, 9420141, 11775244?\nAnswer: 14130377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 6*i - 40. Let p = i + -6. Differentiate -3*v**p + 6 - 1 - 2 - v**2 with respect to v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - -19) + (30 + 4 - 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (p + 0*p + 0*p)*(3 - 2 + 0) - 3 + 3 - 2*p + (2 - 4 + 0)*(-4 + 4 + 2*p) + 0 - p + 0 - 5*p + 0*p + 4*p - 2*p - 2*p + 5*p in the form s + g*p and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 7 - 13 + 6 + 9*x. Let m be s(-1). Is (33*102\/m)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of -a**6\/30 + a**4\/2 + 4*a**3\/3 - 12*a**2. Factor r(x).\nAnswer: -4*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11334574*r - 7697939?\nAnswer: -11334574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 10 = -3*v, 3*z - 611 = 2*v. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1784, 1787, 1770, 1733, 1676?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(19) + sqrt(57)\/sqrt(3) - (sqrt(114)*2)\/sqrt(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 59, -0.0342, 29\/4, 1?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3036 - 2976 = 6*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*a + 17*a - 657 = -56*a + 1493 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**2. Let y(w) = 81*w**2. Calculate y(j(t)).\nAnswer: 324*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 - 4*w**3 + 5*w**3)*(0*w**2 - 6*w**2 - 2*w**2) - 5*w**5 + 178 - 180 + 3*w**5 - 4*w**4 - 5*w**5 - 6*w**5 + 12*w**5.\nAnswer: 15*w**5 - 4*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (24\/30)\/(8\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 20*h + 1. Let y(j) = 2*j**2. Calculate q(y(c)).\nAnswer: 40*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 - 14*x**2 - 12*x - 33. Let i be f(-7). What is the greatest common divisor of 527 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 20*p**2 + 16*p - 27. What is j(-19)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3936 - 1920. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.6 in 0.5, 4, 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16 - 35\/3. Find the common denominator of -9\/145 and w.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/3, 3\/7, -0.0645, -0.27, 0, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1731 at least as big as 1724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-25*(-1104)\/1200)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 7463  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 42  (b) 2  (c) 0.1  (d) 1  (e) -652\/9  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*v**2\/11 + 6*v - 18\/11 = 0.\nAnswer: -1, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 11 + 0*v - 4 - 8 + 3*v. Give f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-15) + -1 + 429\/5. Let k be (-216)\/(-10) + 0 + 34\/f. Solve 5*i = -4*m + i + 12, -k = -5*m + 2*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2488 > 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75 = -61*r + 169 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 39 = g. Let d be (7 - g)*(-1)\/3. Let a = d + 1. Let r(k) = 4*k - 3. Calculate r(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1420841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1648*c**3*v**4 - 33*c**3*v**2 - 4*c**3 - 330423*c**2*v**2 + 20384*c*v**6 wrt v?\nAnswer: -39552*c**3*v + 2446080*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1622 divided by -9?\nAnswer: 1622\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16071509.\nAnswer: 47, 341947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 1879 = -3*r, -6*r = -9*r + 4*c + 1877. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*j**6 - 93*j**3*x**3 + 476*j**2*x**3 + 2*j**2*x**2 wrt j.\nAnswer: -360*j**3 - 558*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2774, 2763, 2750, 2735, 2718?\n\"Answer: -y**2 - 8*y + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6371 and 0.47?\nAnswer: 2994.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ofbfbfbhbomfhbfmomoo. Give prob of picking 2 h and 1 f.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7\/37 - -151\/407. Let p = 80 - 78. Let o = 70 + -73. Which is the closest to 4?  (a) p  (b) o  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x**4\/7 - 6360*x**3\/7 + 499602*x**2\/7 - 12859752*x\/7 + 101647080\/7 = 0 for x.\nAnswer: 15, 34, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 3*r**2 - 9. Suppose -356*x + 14 = -349*x. Suppose -k - 6 = -x*p + 4, 2*p = -4*k. Determine u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3842 - -6960. Calculate the remainder when r is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z**(-10)*z)\/z)**28)**41)**(-2\/81))**34 assuming z is positive.\nAnswer: z**(780640\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16240 and 356294.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**3 - 6*c**2 + 3*c - 5. Let i be f(3). Sort 2, -7, i, 1 in decreasing order.\nAnswer: i, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/15)\/((-56)\/84)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4228184.9 take away -5?\nAnswer: 4228189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, v: 1, q: 4}. Give prob of picking 1 v, 1 q, and 1 x.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 3\/5  (b) -0.515  (c) 3  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -60*b**2 + 1235*b + 2467. What is z(-2)?\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 4*a + 1472 - 398 + (-a - 5*a + 5*a)*(-1 + 2 - 2) + 3*a + 5*a - 5*a.\nAnswer: 2*a + 1074","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {k: 4, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 163 and 10818147?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2036 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -5. Let s = 5 - p. Solve -5 + 3 = s*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, u: 2, y: 2}. What is prob of picking 1 u and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r = 10*r + 14. Let u be (-387)\/(r + -4)*-1. Suppose -4*a = i - u, 3*a = -a + 2*i + 114. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2048)\/112)\/((-9 + (-1275)\/(-125))*(-5)\/21).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/19, 2, -2.9 in ascending order.\nAnswer: -2.9, -1\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 36*x**2 + 12*x + 13. Is s(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -52\/25767 and 86\/20914215?\nAnswer: 62742645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42191 is divided by 861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -3.18595 + -16\nAnswer: -19.18595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111011 - 1011?\nAnswer: 101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46458 or -46459?\nAnswer: -46459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.141954484 rounded to 3 dps?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 - 322?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (6\/15)\/((-6)\/(-15)) + 4. Suppose 0 = 4*y + o*m - 3*m + 280, -y = 5*m + 52. Let a = -215\/3 - y. Sort 0.4, a, 22 in ascending order.\nAnswer: a, 0.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1630\/(-978))\/(5\/9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000000238073 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 - 3*l**2 + l**2)*(-3*l**3 - 1 + 1) + (-14*l + 7*l - 12*l)*(-3*l**4 - l**4 + 3*l**4).\nAnswer: 25*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4720700.\nAnswer: 2, 5, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**3 + 4*r**3 - 4*r**2 - r**2 + 7. Let u(t) = t**3 - t**2. Let n(a) = -m(a) + 5*u(a). What is the first derivative of n(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.8, -1, -37, -1.8, 0, -1\/2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 - 8*w - 12. Let m be d(11). What is the highest common factor of 84 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*d**5 - 3209052*d**4 + d**3 + 183597028*d**2?\nAnswer: 960*d**2 - 77017248*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/sqrt(2)*-4 + (sqrt(5) + 1*sqrt(180))**2 - sqrt(10)\/((4*sqrt(4))\/sqrt(2)).\nAnswer: -17*sqrt(5)\/4 + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7 - (-1027)\/(-143) - 1\/(11\/(-12674)). Calculate the highest common divisor of 504 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1843.49 + -1844.48829. Round q to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1800) - sqrt(1800)*-3)\/sqrt(9) - 1*sqrt(24)\/sqrt(3).\nAnswer: 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2925951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = 4*p + v + 2, 0 = 2*p - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 12 = 3*t + 2, -5*z = 5*t. Suppose z*b = -6*b + 24. Suppose n - 322 = -5*x, -n = -b*n - 6. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2956 + 7898. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2 + 3*w. Let c be s(-3). Let i(u) = u - 1. Let h be i(c). Let b = h + -5. Put b, 1, -5 in ascending order.\nAnswer: -5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -25. Let c = -0.123 - -2.043. Let z = -2.02 + c. Is z less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6872215 is divided by 6125.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19556710?\nAnswer: 2, 5, 1955671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3457*c. Let o(w) = 14516*w. Give o(p(t)).\nAnswer: -50181812*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/((-1)\/((-6)\/(-2))). Suppose 4*v - o = -35. Let l be (-3)\/(-30)*34 + 2\/v. Which is the closest to l?  (a) 0.5  (b) -0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 3:31 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00295803344 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(2\/5)*u)\/(u**(5\/4)*u)*u**(-6)\/(u**(-4\/5)\/u)*((u*u*(u\/u**(2\/7))\/u)\/u*u*u)**(-5\/7)*u**1\/u**(-6) assuming u is positive.\nAnswer: u**(991\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5640, -5712, -5796, -5886, -5976?\nAnswer: -6060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5814*m + 3198. Determine j(-1).\nAnswer: -2616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*z + 128*z + 373 + 437 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.5 and -25?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.12*0.03619943\nAnswer: 0.0043439316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4832711\/488 or 9904?\nAnswer: 4832711\/488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*s + 38*s - m = -145, -2*s + 40 = 4*m. Solve s = 3*v + 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*z - 540. Let d = 173 + z. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7 - -11. Let c(b) = 3 - u - b**3 - 2*b + 2*b**2 + 6*b. Is c(3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -158\/39  (b) -0.24  (c) -1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3111 - -12111?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*d + 333*d**2 + 11*d + 50*d**2.\nAnswer: 383*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-64)\/(-512))\/((-1)\/(-72))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -4, -2, 2, -5 in decreasing order.\nAnswer: 12, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.2, 1, -2\/3, -2\/7, -19.3?\nAnswer: -19.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 + -1 + 9)\/(-5 + 3). Solve -x = -d*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54078?\nAnswer: 2, 3, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p**2 - 29*p + p**2 - 22*p + 305*p - 21*p - 233*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8567969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*s + 2*s. What is the lowest common multiple of s and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12618088 = 75708535\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 - 53 = -2*r. Suppose -o + 6 = r. Solve -2*d - 27 = 5*z, o*d = 5*z + 6 + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n**3 + 11*n**2 + 30*n + 18. Let z(f) = -f**3 - f**2 + 2*f**2 - 146*f + 76*f + 71*f. Let s(o) = 4*k(o) + 20*z(o). Find x, given that s(x) = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1167?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -10, 0.1, 5, 19, -0.3?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -419*-45.\nAnswer: 18855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a + m + 2 + 2, 0 = a - m - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*t + 62*t = -65. Solve 2*j + j - 12 = -3*a, -3*j = 4*a - t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 1, c: 11}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2. Let a(s) = 5*s**2 - 12*s - 29. Let z(h) = a(h) - 6*v(h). Let c be z(-9). Is (7\/(-42)*4)\/(c\/5079) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3018 and 0.04.\nAnswer: 120.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4*15\/40*(-28)\/(-105)*-50\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*s**2 + 0*s - 51*s**2 + 0*s.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.035698*-0.1\nAnswer: -0.0035698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 1460*z. Let m(a) = -213*a**2. What is m(i(n))?\nAnswer: -454030800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 2  (b) -0.1  (c) -0.39  (d) -25\/6  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-406*n + 406*n - 574*n**2)*(2*n + 4 - 4) + (2*n - 3*n + 0*n)*(0*n**2 + 4*n**2 - 3*n**2) in the form t*n + x*n**2 + h*n**3 + b and give h.\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 2, -18, -1, -3 in increasing order.\nAnswer: -18, -3, -1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zllz when four letters picked without replacement from {l: 3, z: 4, s: 2, p: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -0.4, 1\/2 in ascending order.\nAnswer: -0.4, 1\/2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of c**6\/720 - c**4\/6 - c. Let b(j) be the third derivative of w(j). Let l(v) = v. What is l(b(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrl when three letters picked without replacement from rrylayv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 119*l**4 - 4*l**3 + 1629*l**2 + 1046*l + 202914.\nAnswer: 1428*l**2 - 24*l + 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1745929?\nAnswer: 19, 43, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express l - 38*l - 2536 - 2527 + 5068 in the form q*l + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -76*i**2 + 4*i**3 + 108*i - 380 + 340*i - 151 - 237.\nAnswer: 4*(i - 8)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8773386745.\nAnswer: 5, 383, 4581403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -76 (base 8) to base 3.\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + sqrt(2299) + 2)*-3 + sqrt(2299).\nAnswer: -55*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 37*a - 42*a - 5*h, -2*h = -a - 1. Let i(s) = 3*s + 9. Determine i(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 177.651 and -0.03 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37719 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, w: 2, l: 6, z: 4, q: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 630404*u**3 + 2*u**2 + 591376*u.\nAnswer: 3782424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 5575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v + 2. Let h be k(0). Suppose 3*m = -y + 18, 0*y + 3*y = 5*m - h. What is the least common multiple of y and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*u = -4*j + 179, -5*j - 2*u = -227. Let q = 43 - j. Let m be -2329 - 13 - 4\/q. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1440\/7 in 3, -2\/7, 1.9, -2\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*v - 2921, 0*n + 5*n = 4*v + 5839. Let d = -201 - v. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 89, 189, 289?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 186456310.8 less than -0.06?\nAnswer: -186456310.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -19, 5, -6, -974 in descending order.\nAnswer: 5, 1, -6, -19, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -83.73 + 78.73. Let k = 42 - 44.1. Let g = 0.1 + k. Sort t, -2\/3, g.\nAnswer: t, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 - (-6 + 10 - (-6 + -1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-4 - 1 + 1)*(2 + 1 - 23) + 1 - 1 - 1)*(0 + 1 + 1)*(-3 + 3*m + 3) in the form s + k*m and give k.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 66248257573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -55*f**2 - 8*f + 12. Let k(a) = -54*a**2 - 10*a + 12. What is 6*c(z) - 5*k(z)?\nAnswer: -60*z**2 + 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0948?  (a) 3\/5  (b) 0  (c) -0.3  (d) -2.1  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a factor of 422138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 3*w**3 + 70*w**2 + 13*w. Let a be s(-23). Solve 10 = a*m - 235*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -666d (base 14) in base 12?\nAnswer: -a321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9287.9 decades to millennia.\nAnswer: 92.879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) - (-5*sqrt(1300) + sqrt(1300))**2).\nAnswer: -2*sqrt(13) + 41600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 65, 2, -1, -5, -79, 6 in descending order.\nAnswer: 65, 6, 2, -1, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p**2. Let a(s) = 1603*s. Give a(q(t)).\nAnswer: -3206*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*y = 26 + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z + 4, -2*n - 3*n - z - 27 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 33811313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(2 + -5 + 2). Suppose -y*p + 3*p = -5. Let g(a) = -a**2 + 17*a - 29. Let b be g(15). Put p, -4, b in increasing order.\nAnswer: p, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(9\/5)*r*r*r**(20\/7))\/(r*r*r**(-9)*r)**(-18\/5))**9 assuming r is positive.\nAnswer: r**(-4392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 5*b**3 + 3*b - 2. Let i be u(1). Let a(y) = -4*y + 9. Give a(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.617 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**5\/9 + 64*c**4\/9 - 286*c**3\/9 + 440*c**2\/9 - 24*c = 0.\nAnswer: 0, 1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 201.22725 minutes?\nAnswer: 3.3537875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20a645 + 0?\nAnswer: -20a645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - n + 17, n = -g - 3*n + 2. What is the derivative of 2 + 1 + t**2 - g - 1 wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 3 = -2*j. Suppose -4*v - 22 = -6, v + 12 = j*u. Solve 13 = -u*c - m, -8 = c - m + 2*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10715 + 10712. Which is the closest to p?  (a) -76  (b) 4  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3*u**3 - 6*u**2 - 46*u + 204. Give h(4).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + i - 177 = -3*q, -79 = -q + 5*i. What is the remainder when 106 is divided by q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 3*u + 1. Suppose 10*b = 2*i - 98, 57*i + 3*b + 39 = 60*i. Calculate the least common multiple of z(-5) and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5209 - 26186?\nAnswer: -31395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 77*n**2 + 1997*n - 1998. Determine r(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -167471423128.64+1.5\nAnswer: -167471423127.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (2 + 87\/(-21)). Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/203 and 71\/81.\nAnswer: 16443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - (-26)\/(-10)) + 4. What is the nearest to 0.2 in o, -3, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 619548*h**3 + 618240*h**3.\nAnswer: -1308*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -107 times -1\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -4634.35 * -0.2\nAnswer: 926.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (96\/(-9))\/(-4)*1278\/(6816\/96).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (-4 - (-6 - -8) - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -101330?\nAnswer: 101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ftttggt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4*u - 16. Let s be m(-5). Solve 20 = s*c + z, 5*c + 3*z + 0*z - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ca - 6d9a4?\nAnswer: -6d8da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6995299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 AM and 1:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 6*h - 34. Suppose 39 = 2*v - 107. Let u = v + -67. Let p be m(u). Let d(a) = 13*a**2 - 7*a + 7. Let q(i) = 4*i**2 - 2*i + 2. What is p*d(z) - 7*q(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 3*w**5 + 10983*w**4 - 703470*w**3 + 1362984*w**2 = 0.\nAnswer: -3724, 0, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -7, -16, 3 in descending order.\nAnswer: 3, 2, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18.3 + 2.3. Let s = -12 - v. Let b = 8 - s. What is the second biggest value in b, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((sqrt(7) - (sqrt(112)\/sqrt(4) + sqrt(7))**2) + (3 + sqrt(847))**2).\nAnswer: -793 - 67*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/3368 and -75\/6736.\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 170 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*u + 60. What is the common denominator of (-2 - 2)*1649\/136 and 10\/(-12)*243\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 63412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13.9962011 - 14.0362. Let k = b + 0.04. Round k to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160*l**2 + 151*l**2 - 628*l**2 + 159*l**2 + 157*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -2 + 2 + (3 - 34 - -19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 9:17 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3 - 9\/(-4))\/(-16 + 358962994\/22435192) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84548261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1344)\/(-36) - 1\/3. Suppose n = 3*c + 5*q, 0*c - 17 = -3*c - q. What is the second biggest value in 2\/7, 1\/4, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13 take away 10.38?\nAnswer: -10.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -103132200 - -3?\nAnswer: -103132131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -96 divided by -6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 2 = -0*j. Suppose 2*x - 3 = j. Suppose h = x*h - 1. What is the third biggest value in h, -4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000160785 rounded to 6 decimal places?\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -75. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1846 = 127*a - 25*a + 40*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2854305 and 10465785.\nAnswer: 31397355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, r: 3, h: 2, y: 4, s: 1}. Give prob of picking 1 h and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-24)*-20 - 4\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 878*-0.7\nAnswer: -614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 479 - 0.07623\nAnswer: 478.92377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -93.89 - 0.11. Let d = -0.6017 + -94.3383. Let y = d - k. What is y rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 518\/10 - (4 + -8)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-52))\/1 + (-67)\/13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, t: 2, f: 1, q: 8, i: 4}. Give prob of picking 1 i, 1 z, and 1 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tfrtuxrffrtff. Give prob of picking 1 t, 1 u, and 1 x.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/20 - (-1114)\/10. Let d = o + 223. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*y = -4*t + 4, 2*t + 3*y + 47 = 0. Calculate the common denominator of -61\/12 and 1 + (794\/(-60) - t\/12).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-1))**(2\/7)*t\/(t**(2\/25)\/t)*t**(-9)*(t**2\/t)**19*t\/(t*t**(-1\/6))*t**(6\/11)\/t assuming t is positive.\nAnswer: t**(19193\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -102, -130, -158, -186, -214?\n\"Answer: -28*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 24099296 divided by 12196\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -q**6\/15 + q**5\/30 + q**4\/24 + q**3 - 25*q**2. Let y(p) = 7*p**3 - 2*p**2 - p - 5. Determine 5*h(a) + 6*y(a).\nAnswer: 2*a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 4*q + 145. Let r = -174 - -140. Is 4 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 + 23*a**2 - 4*a + 16. Calculate d(23).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -30*c - 36. Is f(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of -5*b**5\/12 + 4*b**2. Let u(w) = 4*w**2 - 5. Let g(p) = -5*p**2 + 6. Let d(l) = 5*g(l) + 6*u(l). What is q(d(x))?\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 228991?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from xcxxpxcxxxxxxxcxxxxx?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 5*a**3 - 4*a**2 + 9*a - 6. Let t(x) = -9*x**3 + 8*x**2 - 17*x + 11. Let u(i) = -7*p(i) - 4*t(i). Let h = 18 + -15. Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -2\/5, -0.02, 203?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -281 (base 10) to base 15\nAnswer: -13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144*o = -3*v - 141*o + 33, v - 11 = -4*o. What is the smallest common multiple of v and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (3 - 5 - (-11 + 11))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 26*m**2 - 8*m. Let k(r) = -26*r**2 + 6*r. Calculate -2*f(i) - 3*k(i).\nAnswer: 26*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*q + q**2 + 0*q - 6*q to the form b*q + p + o*q**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 995\/(-120) - 4\/12*-9 and 237\/27 + -2 - 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5578 and 78097\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**4 + 61*y**3 - 322*y**2 + 524*y - 264 = 0. What is y?\nAnswer: -66, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -17 - -7 - (-3)\/(7\/(-1 + 22)). Put m, 1, -3, 9, -4 in increasing order.\nAnswer: -4, -3, m, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**7\/105 + 3*l**6\/20 - 19*l**4\/3 + 32*l**3 + 2195*l**2 + 2. Factor u(q).\nAnswer: -2*(q - 8)*(q - 2)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 187\/33 + 2\/6 + (-4336)\/724. What is the second smallest value in 0.2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 242214024 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -273411116 at most as big as -273411116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 267985255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10136 + 10146. Calculate the remainder when 319 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6679 + -4379. Is (12\/10)\/(23\/j) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21631185365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(99) - sqrt(99)*2))\/sqrt(9) + 1.\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -768.10344 to 1 decimal place.\nAnswer: -768.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25 - 4) + (-57 - (44 + -1)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1100) + (-1 + sqrt(1100)*-3)**2 + 3)*4.\nAnswer: 560*sqrt(11) + 79232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -47150.34\nAnswer: 141451.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*x - 99*x - 51*x - 346*x + 835*x - 113*x.\nAnswer: 128*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 7:11 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/8 and ((-7)\/(-2))\/(56\/(-32)) + (-249)\/(-180)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) + -4)*3 - -4*(1 + sqrt(700) + sqrt(700))**2.\nAnswer: 190*sqrt(7) + 11192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 5*m - 4. Let f(d) = -1. Let c(j) = -4*f(j) + x(j). Let y = -3 - 2. What is c(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -114864, -459451, -1033762, -1837797?\nAnswer: -2871556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -31*y + 1753. Let o be q(56). Put -1, -127, o in decreasing order.\nAnswer: o, -1, -127","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -4*k + 68220, -2*v + 17054 + 34106 = 3*k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144616368.\nAnswer: 2, 3, 13, 47, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1905*r = 1918*r + 65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -237017461907737.29999986 + 237017451995978. Let j = -9911759 - h. Let t = -0.3 + j. Round t to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2559 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 AM and 6:37 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(153) - sqrt(153))**2 - (sqrt(187) - (sqrt(187)*2 + sqrt(187) + sqrt(187)))\/sqrt(11).\nAnswer: 3*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62 - 104. Let w be (-2)\/4 + (-105)\/z. Solve -w*a + 9 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x. Let u be n(-2). Let j = -12 - -13. Suppose 3*a = j + 5. Is u less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 5967*q**3 - 4 + 5966*q**3 - 3*q**4 + 2*q**2 as j + a*q**4 + k*q**2 + x*q + d*q**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 + 4*x + 3. Let i = -6 + 9. Let j be p(i). Suppose -4*y = -5*h + 1479, 3*h - j*y = -3*y + 888. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 241*v**3 + 429*v - 428*v - 46 + 12*v**2 - 74*v**3 - 19 + 164*v**3 wrt v.\nAnswer: 1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 12  (b) -3\/5  (c) -2\/15  (d) 2  (e) 1427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 737 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/7 and ((-7)\/(168\/5))\/((-3)\/117).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3379488044 to the power of 1\/2, to the nearest integer?\nAnswer: 58133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 - -21. Suppose q = u + 16 - b, -5*u - 20 = 0. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 305920 = -5*s, -3*s + 5*o + 259976 = 76432. List the prime factors of s.\nAnswer: 2, 3, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**5\/7 + 388*q**4\/7 + 9600*q**3\/7 + 9216*q**2\/7.\nAnswer: 4*q**2*(q + 1)*(q + 48)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -224*a = 3418 + 6417 - 4063 + 3860 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/((l*l\/((l*l**(1\/8)\/l)\/l))\/l))**(6\/25)\/((l\/(l*l\/(((l**(-3\/5)*l)\/l)\/l)))\/(l*l**20)) assuming l is positive.\nAnswer: l**(2339\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, 1, 3, 0.1, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8 and 12898432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(20) + -1 - 1*(-2*sqrt(20) - sqrt(20)).\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -48 * -0.871.\nAnswer: 41.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (11 + -3))\/(-18*50\/1575)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -157650, -157541, -157432, -157323, -157214?\n\"Answer: 109*m - 157759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 147\/5 - 30. Let k be (-12)\/(-15)*10\/4. Suppose 3 = -d - k*d. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4332*k - 8. Let c(x) = -2164*x + 3. Calculate -5*c(l) - 2*w(l).\nAnswer: 2156*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 170, 252, 332, 410, 486?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 125 - 67. Suppose 0 = -p - p + v. Let i(g) = -28*g + 2. Let u be i(-2). What is the greatest common factor of u and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 15) in base 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 25 = -n. Suppose -y = -y - n*y. Suppose -3*b + 3 = 6, 2*c + b - 1985 = y. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 139 and 1295375611?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.381155 or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0004074568194 to 7 decimal places.\nAnswer: 0.0004075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 2. Let h be b(0). Suppose 3*o - h - 1 = 0. Which is smaller: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48.1 - -48. Which is the closest to 1?  (a) t  (b) 1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zcpp when four letters picked without replacement from pzzzcpppcpcpzp.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (28 + -13 + (-10 - -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -108*c**2 - 5400*c + 9. Determine u(-50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 73.11?\nAnswer: 219.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 2*m - 146. Let q = -44 + m. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/18720 and 31\/144.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 15*i + 12*i = 9, 2*k + 3*i + 9 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from piiippqqiiiiqip. Give prob of sequence iip.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17965 is divided by 3588.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 21963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 460 a factor of 637071952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -162 + 162.0495. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwwkjzkzwxjwxkwkxwk. Give prob of sequence jw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - d = 5*x + 1328, -4*d = -x - 284. Let c = x + 277. Suppose 2*z - 6 = -2. Sort c, z, -3.\nAnswer: -3, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from {i: 3, j: 3, u: 4, k: 5, n: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10426 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 2*s + 3. Find the common denominator of 3\/(-24)*-98 - s and 1\/28*(-804)\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, m: 7}. What is prob of picking 4 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9, -13, -49, -99?\n\"Answer: -7*i**2 - i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/1120 and 83\/2?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16244447003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*700.423.\nAnswer: -2101.269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2363959273*o**2 - 71*o**3 - 2363959273*o**2 + 2.\nAnswer: -71*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -5 + 3*v**3 + 2 - 14*v**3 + 6*v**3 + 7*v + 3*v**3 - v**2. Let f be y(-3). Calculate the highest common factor of 252 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 20 - (10 - 8)) + -247 + 152?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 685132150 to the nearest integer?\nAnswer: 26175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 117734435 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*w + 18*w + 6 - 39*w)*(4 + 2 - 4).\nAnswer: -12*w + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000823 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 22 + 4 + 185*z - 189*z. Give b(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1050686800 rounded to the nearest one million?\nAnswer: -1051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*x + 1. Suppose 0 = -2*n + n + 4. Let g be 1\/n - (-11)\/4. Solve 2*z = g - x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*1 + 0 + -2. Let w = 18 + m. Suppose -w = -5*j + 4*j + 2*u, 0 = 4*j + 4*u - 96. What is the highest common divisor of j and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 3*i**2 + 1272. Is 70 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/45*(-1)\/(1\/5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 113, -0.2, -1\/28926, 3\/4 in decreasing order.\nAnswer: 113, 3\/4, -1\/28926, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-14)*v*v*v**(-33)\/v)**20 assuming v is positive.\nAnswer: v**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -7 and -1403 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + -3 + sqrt(252) + (6*sqrt(252)*1)**2).\nAnswer: -27219 - 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12\/12*(-6)\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 0*c = -87. Let w = c + -4. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 3*r + 268 - 4675 = 0, 0 = 3*p - r - 2641. What are the prime factors of p?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1033 to 4 dps.\nAnswer: 0.1033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 123926 divided by -17?\nAnswer: -123926\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide ((-6)\/(-10))\/((-61)\/(-5642805)) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/1344 and -49\/456.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**5 - 14*n**4 + 20*n**3 + 4*n**2 - 22*n + 10 = 0. What is n?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 8:31 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -6*g**2 + 54677*g + 54666. What is o(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3165 - -3194. Solve -r*h - 91 - 54 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22890, 5, -4, 474 in increasing order.\nAnswer: -22890, -4, 5, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -320.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 28\/6 + (-5)\/3. Suppose -l*i = -2*g + 175991, 2*i - 440015 = -5*g - 3*i. What is g rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.44 greater than or equal to 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 + 14*o - 4. Let u be c(-15). Solve 3*j - f - 6 = -0*j, 5*f = -4*j - u for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -65.6 and 29.\nAnswer: -36.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -6*c**3 + 6*c + 5. Let k(x) = 2*x**3 + 57*x**2 + 40*x + 335. Let n be k(-28). Give z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241490?\nAnswer: 2, 5, 19, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 - 52 = -l - 40 + 37 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -255391 - -611108. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r - 8. Let a be i(15). Let u(b) = b**2 - 7*b + 9. Let d be u(a). Put -3, d, -5 in ascending order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, t: 2}. What is prob of picking 1 t and 1 z?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 339, 1347, 3029, 5385, 8415?\n\"Answer: 337*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71.08 + 7.98. Let x = -63 - z. Which is the biggest value?  (a) 2\/5  (b) -2\/7  (c) x  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 > -2\/2863033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - -5. Let b = -3 + d. Let t = 8.9 + -9. What is the smallest value in b, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - m = -4*w + 266, -w + 5*m = -76. Let t = 67 - w. Let f = 5.08 + -0.08. What is the nearest to t in f, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15.64 + -65.4. Round a to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9310 and 14896.\nAnswer: 74480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**4 + 203*n**3 - 1891*n**2 - 7527*n.\nAnswer: -n*(n - 193)*(n - 13)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-45 - 55 + 11)*(-96 + 36*g + 96) in the form h + l*g and give l.\nAnswer: -3204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-303*r - 291266 + 291266)*(-4 + 4 + 1)*(1 - 4 + 5).\nAnswer: -606*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1  (b) -1\/48  (c) -1  (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2288.907 years in decades?\nAnswer: 228.8907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(sqrt(7) - (sqrt(567)*6 - sqrt(7))) + 6*(sqrt(85)\/sqrt(5))**2 + -1.\nAnswer: -sqrt(17)\/52 + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 951013 divided by 161.\nAnswer: 135859\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 5*h + 63 + 222 = 0, 190 = 2*i + 4*h. Let z = i - 94. Which is greater: 2\/207 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 4 + 1)*(388*z**2 + 934*z**4 - 388*z**2) in the form g*z**2 + b + m*z**4 + j*z**3 + p*z and give m.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**2 + 46660554*n**3 - 23330218*n**3 - 23330331*n**3.\nAnswer: 5*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3748 by 4.\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 divided by 151?\nAnswer: 52\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.96682 days to minutes.\nAnswer: 70512.2208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -4, -2.5, -2.4, 0.1, 1920?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 418127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3659*d - 1. Let g(q) = 2*q. Determine r(g(i)).\nAnswer: -7318*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**4\/12 - z**2\/2 - 332*z - 1. Let t(h) = 4*h**2 + 3. Give 3*c(q) + t(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 251 divide 1038575501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6623818*d**2 + 1345537*d.\nAnswer: 13247636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -19*m - 93. Let j be y(-5). Let o = -40 + 56. Let f = 11 - o. Which is the closest to -7?  (a) j  (b) -1\/6  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 + 3*w**2 - 2*w + 3. Let n be h(2). Let f(y) = y**3 + 7*y**2 + y + 9. Let d be f(-7). Solve n*z + 15 = -d*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 64546 - 5?\nAnswer: 64541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 28, 25, 22?\n\"Answer: -3*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -28431 rounded to the nearest one hundred?\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7999 is divided by 3391.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-901527)\/(-107) + 5\/(13 - 3). Let n = 8426 - q. Let l = 383\/3210 + n. What is the nearest to 2\/5 in l, -23, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 11:44 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1941 less than 0.02?\nAnswer: 2.2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77 + 74 - (-7)\/(7\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t - 21. Suppose -3*y - 2*j + 189 = 0, 3*y = 2*y + j + 68. What is the remainder when y is divided by q(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*-1*sqrt(200) - 5*sqrt(200)*-3)**2 + -4 + 1 + -3.\nAnswer: 19991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -28  (b) 1  (c) 576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 2\/19  (b) 10  (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y - 2. Let w = -13 + 9. Let p be n(w). What is the third derivative of 0*h**p - h**5 + 6*h**2 - 2*h**2 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nfee when four letters picked without replacement from {b: 5, e: 3, f: 1, n: 9}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 2*x**5 + 2686*x**4 - 65666*x**3 - 68350*x**2 = 0.\nAnswer: -1367, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.21, -3\/2, 2\/15, -13\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -27*d**2 + 46*d - 4761. Let s(i) = -17*i**2 + 29*i - 2975. Calculate -19*s(l) + 12*w(l).\nAnswer: -l**2 + l - 607","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9092 is divided by 1135?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 + 1 - 4*p**3 + 4*p**3)*(2*p**2 - 3*p**2 - 3*p**2).\nAnswer: 4*p**5 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 <= -0.012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*q**2 - 112*q**2 - 102*q**2 + 333*q**2 + 2 - 3*q.\nAnswer: 52*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*((l**3\/l)\/l)\/l)\/l**8*l\/l**1*(l**(3\/4)\/l)\/l)\/(((l**(2\/11)\/l)\/(l\/(l\/l**(1\/7))))\/((((l*l\/(l\/(l*l**(1\/3))))\/l*l)\/l)\/l)**(-4\/5)) assuming l is positive.\nAnswer: l**(-34907\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 557 - 88 = -75*t - 613 - 1168 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/8*(9 + 1). Suppose -10 = -5*w + t*k, -w = -5*w - k + 8. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 3:18 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 10. Let m be (12\/117)\/((-2)\/(-3)). What is the nearest to m in -0.1, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + -1. Let v = 3.1 + g. Suppose d - 3*a - 6 = -4*d, -5*d - 4*a = 8. Does d = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*h**2 + 4*h**2 - h**2)*(0 + 1 - 3) - h + h**2 + h - 4 + 2*h + 0*h + 49*h**2 - 35*h**2)*((1 + 2 - 4)*(2*h + 2 - 2) - 2*h - 3*h - h).\nAnswer: -104*h**3 - 16*h**2 + 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(539)*-5)*-5.\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -265254*h - 11936436. Determine s(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -111151.81221 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 39. Factor 7*z**2 - 19*z**2 + 6*z + 4*z**2 + 27*z**3 - y*z**2.\nAnswer: 3*z*(z - 1)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 597402510901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 1 = 5*z. Let j be (0 - 4*(-2)\/(-8)) + z. Find the third derivative of -1 + 1 - 6*d**2 - 23*d**5 + 3*d**j wrt d.\nAnswer: -1380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 0. List the prime factors of 3\/((-1)\/n - (-2)\/3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52 and 4238?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 9\/11  (b) 0.2  (c) 4\/5  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 507 and 16766997?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -755c3 (base 14) in base 4?\nAnswer: -1011102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -2\/7*s - 8\/7*s**2 + 10\/7*s**3 + 0 = 0?\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i - 52*z - 46 = -47*z, 2*i = 3*z + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 74597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 296294137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, h: 3}. Give prob of sequence hh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*y + 28*y = -990. What is the remainder when y is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 32*w - 148. Let j be d(5). Let r = j + 10. Find the common denominator of r and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 374, 753, 1132?\nAnswer: 1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 69433*b**2*x + 97*b**2*z - 3*b*z + 156*x*z - 5*x - 2160*z + 2 wrt b.\nAnswer: 138866*b*x + 194*b*z - 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y + 1. Let i be t(1). Find the common denominator of (1\/(-3))\/((-22)\/i) and -1*1*(-236)\/48.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4 + -5 + 2*(0 + sqrt(396))**2*3 + 4).\nAnswer: -9516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0083175 tonnes to kilograms.\nAnswer: 8.3175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*l - 4*l. Let f(t) = -t**3 + 21*t**2 - 13*t - 25. Let w be f(l). Let b = w + 20. Is b a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 - 3*b. Calculate r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 290*z - 14354. Determine q(41).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: What is prob of sequence jrk when three letters picked without replacement from {q: 2, r: 2, b: 2, k: 4, y: 1, j: 9}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 12*x**2 + 19*x + 13. Let k be u(10). Suppose -h + 0 = t - k, 0 = 3*h + 5*t - 1. Solve h*j - 2*j = 3*i - 6, 2*i + 15 = -3*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**5*b*b**(-2\/13)*(b\/(b*b**(-1\/2)))**(-1\/16) assuming b is positive.\nAnswer: b**(-1325\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4626201 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 136*o**5 + 166*o**5 - 261*o**5 - 5*o**5 + o**5 + 3*o**5 + 1 - 1 - o**5 + (3*o**3 - 6*o**3 + 2*o**3)*(o - 2*o**2 - o) + 0*o + 2*o**5 + 0*o.\nAnswer: 43*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of -a**4\/4 - 10*a**3\/3 - 4*a**2 + a - 7. Let u be p(-10). Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.1  (b) 2  (c) -0.06  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 752049.8 microseconds in seconds?\nAnswer: 0.7520498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3394988627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 566802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c + 208*c**2 - 16*c - 414*c**2 + 206*c**2 - 113*c**3.\nAnswer: -113*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 214440 and 180.\nAnswer: 643320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p**5 - 3456*p**4 - 1200438*p**3 - 131781272*p**2 - 4073685609*p - 37881070920 = 0.\nAnswer: -3080, -167, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 1:49 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -751, -822, -883, -928, -951, -946, -907?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**2 + 3*h**2 + 0*h**2 + (-1 + 7 - 4)*(-h - 2*h**2 + h) - h**2 + 4*h**2 - h**2)*(2 + h - 2)*(-16 - 16 - 2).\nAnswer: 136*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.72394961 rounded to three decimal places?\nAnswer: 5.724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2.2*6470685\nAnswer: 14235507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*h**2 - 2*h - 4.\nAnswer: 2*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k + 0*k - 682 + 1303 + 5993 - 205 to i*k + o and give o.\nAnswer: 6409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 20832 divided by -6944?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 2*u + 1. Let c be a(2). Let v be (-12)\/(-9) - c - 1. Is -3 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -0.6, -1, -3, -2 in decreasing order.\nAnswer: 38, -0.6, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-12) - (-20)\/6. Suppose 0*j - 2*r - 16 = -2*j, 3*r = -h*j - 3. Let d(p) = -3 + 3 - p + 1 - p**2. Calculate d(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 86298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/23, 0.024, 3\/8, 2\/9 in descending order.\nAnswer: 3\/8, 2\/9, 0.024, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 29 - (1 + 0 + -7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1227 at most -13343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3019*q + 3014*q - 3*x + 16 = -11, 8 = -4*q + 5*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 + 570?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2009 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.627*-1.9\nAnswer: 1.1913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 130  (b) 2\/7  (c) -5  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cloiouorlcrcoooorl. Give prob of sequence lrri.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-1))\/(2\/(-4)). Suppose -d = 4*d - o*k + 11, 0 = 4*d + 3*k - 5. Let v be (d\/10)\/((-1)\/(-4)). Which is the nearest to v?  (a) -1  (b) 1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(35)\/sqrt(5))*2 - (sqrt(14)\/((1*sqrt(2) - sqrt(2)) + sqrt(2)) + sqrt(700)*2))**2.\nAnswer: 76*sqrt(7) + 2531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 93*u + 95*u + 20 = 0, -5*m + 3*u = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*a = 0, 5*t = 4*a - 6*a. Factor t + 2\/11*i + 2\/11*i**3 - 4\/11*i**2.\nAnswer: 2*i*(i - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.428235769 rounded to 4 decimal places?\nAnswer: 4.4282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38151 + 38157. Solve 192 - 194 = 3*c - b, 4*b + a = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.3532 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -882*o + 867*o + 150 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 8.3 and 0.03309.\nAnswer: 8.33309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/261 bigger than 0.23267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 145\/66 or 3?\nAnswer: 145\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 82531*o. Let c(h) = 78*h. Calculate c(z(l)).\nAnswer: 6437418*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 259 and 1.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 2*m**2 + 4*m + 3. Let w(z) = z**3 + z**2 + z + 1. Calculate -s(x) + 2*w(x).\nAnswer: x**3 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10.7 - -21.3. Let z = 31.6 - i. Let o = 0.5 - 0. Which is the third biggest value?  (a) o  (b) z  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 5 = -1. Suppose 4 = v*s - 2*r, -3*s + 2*r - 1 = -4. Calculate the remainder when 31 is divided by (43 - s)*(-2)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m + 4. Let a(d) = -d - 159. Let g(o) = -a(o) + 3*y(o). Let x be g(15). What is the highest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21000 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84 + 436\/5. Calculate the common denominator of x and 21\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*v - 2*t + 1, v + 3*t - 1 = 0. Does 8 divide (136\/16)\/(v\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-30) - 20757\/6930) + (-10)\/(-6).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2755431 (base 9) to base 13\nAnswer: -40c8a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, t: 2}. What is prob of picking 1 m and 1 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7847.06 nanometers in centimeters?\nAnswer: 0.000784706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-45)\/6 - 0)*(-8)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1717217*r**2 + 1717217*r**2 - 78*r**3 + 190*r**3 - 114*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-14)\/45)\/(-7))\/(112\/6335). Let a = x + -1\/72. Suppose a*l**5 + 35\/2*l**2 + 20*l**3 + 15\/2*l + 45\/4*l**4 + 5\/4 = 0. Calculate l.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15016499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -156*f - 1561. What is q(-14)?\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 4*b = -8*b - 22, 60 = 5*q + 5*b. Suppose 0 = -26*v + 21*v - 100. Let h = v + 42. What is the lowest common multiple of q and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 5  (c) -2  (d) -165  (e) 3\/85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17617 is divided by 8796.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 3*g - 1. Let n be j(3). Let o(u) = u**2 - 2*u + 2. Let b be o(-4). What is the remainder when ((b*1)\/(-2))\/n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 304\/(-855) + (-2)\/(-30)*2.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = 4*f + 28, 2*f + 4*a - 33 = 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 5. Let y be 84\/18 + b\/9. Solve y*j + w + 4 = 0, 5*w = 7*j - 2*j - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1*(sqrt(21) - (sqrt(1029) - -5*sqrt(1029))))\/(-3*(sqrt(108) - (sqrt(108)*-1 - sqrt(108))))*6)**2.\nAnswer: 188272\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 40350 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -48\/5*q + 0 + 1\/5*q**3 - 22\/5*q**2 = 0. Calculate q.\nAnswer: -2, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/234, 1\/6, -4, -0.5, 882?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 24 = -0*z + 5*m, -4*z = 3*m - 3. Let j(y) = y**3 - 72*y**2 + 677*y - 23. Let x be j(11). Suppose 0 = z*q + 28 - x. Solve -q*b = -6 - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 + 7*j**2 - 10*j - 10. Let m be (5 - 7)*4\/1. Let z be p(m). Suppose 0 = 3*l - l - z. Sort l, 2, -5.\nAnswer: -5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i + 35 = 0. Let l = -7 + 11. Suppose 3*f - 3*u = 24, 0 = -l*f - 3*u + 4*u + 35. Do f and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101010 (base 2) to base 10\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b + 15. Let f be y(15). Suppose f = -3*u + 11*u - 1160. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -261118 - -6.\nAnswer: -261112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 313 - 1010 = 0. Let y = 209 - x. Calculate the remainder when 89 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 9*o - 3 = -186*r - 180*r + 369*r, 5*o - 167 = 12*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, -2 in decreasing order.\nAnswer: -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 0.21?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - m**2 + 1. Let b be t(-1). Let p = 9970.04 + -9812. Let g = p + -158. What is the closest to b in 0, g, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * 143366556.\nAnswer: -860199336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -s - 13406, 4*k + 26767 = -2*s + 3*k. Find the common denominator of 2\/(-19) + s\/(-4788) and 127\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 279 and 11978493?\nAnswer: 35935479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 326 - 252. Suppose -10 - a = -21*w. What is the smallest common multiple of 72 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 6 = 56. Suppose o = 4*k - 6. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0909 - -15.3909. Which is the second biggest value?  (a) 4  (b) -4  (c) 4\/9  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 6 = 5*y + w, y - w - 9 = 0. Let u(o) = -o + 10. Let h be u(y). Suppose h*t - 206 + 21 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rvowozorrww. Give prob of sequence rrwv.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 2, 11, 5, 4, 3 in descending order.\nAnswer: 11, 5, 4, 3, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.2 - -1.2. Which is bigger: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-257 + 176 + 122)*(8*h**4 - h**4 - h + h**3 - 6*h**4) to i + x*h**2 + o*h**3 + k*h + r*h**4 and give r.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 132\/1914 + (-18)\/(-2262)*1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/5)*p*p)**(1\/6))**48*(p\/p**(2\/5)*p)**(-13\/3)\/(p**(1\/3))**(2\/11) assuming p is positive.\nAnswer: p**(2014\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -153.\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-39 - -36) + 1 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 2*g + 198 = 0. Let c = 2982 + -1694. Let w = -1261 + c. Calculate the remainder when g is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(-1 - (-6)\/(-28)). Let d = 241\/105 + v. Let n = 137361.4 + -137361. Put d, 5, n in ascending order.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 231 - -100301?\nAnswer: 101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 3*g + 51441, -47*l + 52*l - 64306 = g. What are the prime factors of l?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 21*l + 212. Let d be r(-10). Suppose z + 47 = -16*t + 20*t, -d*t + 2*z + 22 = 0. Calculate the lowest common multiple of t and 172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10626 = -459*u - 47*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.9 + 1.9. What is the closest to -1 in r, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 4 + 1 = 0. Let h be 2\/(n*6\/(-45)). Suppose 3*s - 102 = -h. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1387*h**6 + h**5 + 291*h**3 - 21928466*h**2 wrt h?\nAnswer: -166440*h**3 + 60*h**2 + 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -4*q**2 + 2*q + 27*q**2 - 1 - q**2. Let g be z(3). Suppose k + g = 7*v - 3*v, v = k + 47. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -1  (b) -4  (c) -2  (d) 2\/1115  (e) -10  (f) -705\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f\/f**3)**(-18))**(-1\/2))**5)**(-6) assuming f is positive.\nAnswer: f**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 1342 + 1301. Let k = 881 - u. Solve k = 2*g + 5*v - 12, 2*v = -g - 3*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-15)\/12)\/(-7 + 87\/12). What is the biggest value in -3\/8, u, -6, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 305302 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 equal to -5\/30452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence is when two letters picked without replacement from sbixksix?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 + 2)*(28*m**3 - 8*m**3 + 14*m**3).\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, x: 3, w: 5}. What is prob of picking 2 x and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 12485228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 7*g - 9. Let a(b) = 11*b - 14. Let p(c) = 5*a(c) - 7*n(c). Let t be p(9). Let k = t + -27. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, f: 1, d: 6, z: 3, i: 2}. Give prob of sequence cdlc.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7 or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 114452998 a multiple of 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10727 times -132?\nAnswer: 1415964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/8?  (a) -1  (b) -83.3  (c) -157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 246*x + 14501. Let o be p(-59). Let w(q) = 8*q - 3. Let b(l) = 17*l - 7. Let a be 7 + -2 + -2 + 3. Let t = 12 - a. Determine o*w(h) + t*b(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z + 12*z**3 - 2*z**5 - 12*z**3 + (0*z**5 - z**5 + 3*z**5)*(4 - 1 - 4) + (-z + 2 - 2)*(-2*z**4 - z**4 + 0*z**4).\nAnswer: -z**5 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q + 2*q + q)*(q + 2*q - q - 2*q + 0 + 0 + (5 - 2 - 1)*(q + q - 4*q))*(-50*q + 50*q + 87*q**2).\nAnswer: 348*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 1258*w + 2. Let c be b(1). What is c rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*2\/4 - -21. Let n be -1*(-3 - (-55)\/x). Let s = -5.11 + 0.11. Which is the nearest to -0.1?  (a) s  (b) 0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -7, -5 in decreasing order.\nAnswer: 4, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 48, 62, 76, 90, 104, 118?\n\"Answer: 14*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59126.34 decades to years.\nAnswer: 591263.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-8) + 55\/(-20). Let j be -2*(a - (-63)\/(-6)). Let m be (-6)\/(-27) - (-3)\/j. Which is smaller: m or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3767593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 24 = -109. Suppose o + 21 = 4*o. Suppose -7*u - o*u + 28 = 0. Which is greater: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -312660 rounded to the nearest 1000?\nAnswer: -313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -0.7  (b) 4  (c) -0.3  (d) -1128\/5  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 41 = 5. Suppose -2*b + h = 3*p - 0*p, -p - 1 = -b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3*k)\/(k\/(k**(9\/2)\/k))*(k*(k\/k**3)\/k*k*k*k)**(-7\/11) assuming k is positive.\nAnswer: k**(129\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 + -37. Let h = -12 - d. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -h - 3*j + 20, 3*j = 3. Let t(a) = a**3 - 2*a**2 + a - 2. Calculate the remainder when h is divided by t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/30 and 115\/1236.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/4)*p*p*p)**(-1\/11)*p**2\/(p\/(p\/p**(-5\/6))) assuming p is positive.\nAnswer: p**(31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3a0 + 121?\nAnswer: 4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 694 take away -122.0004?\nAnswer: 816.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.2 + 5. Let u = -9 - -4. Let p be ((-64)\/(-8))\/(17 + -3). Which is the closest to s?  (a) -0.3  (b) u  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**4 - y**4 + y**4)*(-77*y - 348 + 348).\nAnswer: 154*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*u - 88 = -34*u. Let i be (11 + -12)*(-1 + u). Solve -c + h - i = -1, c = 5*h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 90796370?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**3 + u**3 - 3*u**4)*(0*u - 3*u + 2*u) + (12*u**3 - 6*u**3 + 8*u**3)*(-22 + 22 - 44*u**2).\nAnswer: -613*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4680 - 3112. Is 98 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n**4\/4 + 4*n**3\/3 - 3*n**2\/2 + 8*n + 36. Calculate the lowest common multiple of f(-4) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31 by 104557.\nAnswer: 31\/104557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17254784 to the nearest integer?\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2848633581.\nAnswer: 3, 9787, 97021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -3*g - 6. Let q be (g - -3*11) + -3. Suppose -5*o = 4*u - 27, -1 = -3*u - o + q. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 15. Which is the nearest to -0.1?  (a) 3  (b) 2\/17  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3841204.56 and -39049.\nAnswer: 3802155.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.03?  (a) -56  (b) 25  (c) 0.3  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11357 or -11376?\nAnswer: -11376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3)\/n**(2\/15)*n\/n**0*n*n\/n**(-1\/13))\/((((n*n*n**5)\/n*n)\/n)\/n**5*(n\/(n\/(n\/(n\/(n*n**(-1)))*n)))\/n**(-1\/7)) assuming n is positive.\nAnswer: n**(-3002\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together 11 and -1867.\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (4*((sqrt(112) - (sqrt(112) + 3 - sqrt(112))) + 5))**2 + (sqrt(126)\/(sqrt(2)*-1))\/(sqrt(144)\/sqrt(4)).\nAnswer: 511*sqrt(7)\/2 + 1857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 63245, 125167, 187091, 249017, 310945, 372875?\n\"Answer: n**2 + 61919*n + 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 142386039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 71213267, -2, 3 in ascending order.\nAnswer: -2, 3, 71213267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + (sqrt(78)*-1)\/sqrt(6)) + -3.\nAnswer: -3*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2\/9 + 33406*z\/3 - 200444\/9 = 0. Calculate z.\nAnswer: -50111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*n**2 + 1 + 0 + 0 + 1 in the form b*n**2 + s + g*n and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and 29185.81?\nAnswer: 2043.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 706, 1292, 1924, 2626, 3422, 4336, 5392, 6614?\nAnswer: 8026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = w - u + 57, 0 = -4*w - 5*u + 129. Let r(t) = -2*t + 17. Let c be r(2). Calculate the highest common divisor of w and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 - 280*r**2 - 37*r - 10353. Calculate z(-280).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*o + 5*v, 4*o + 3*v + 2 + 2 = 0. Let c be 3*(2 + (-15)\/9). Suppose -m - 2 + c = 2*w, 2*m = 5*w + 7. Is o greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 3 - 18, 3*l - 3*n = 69. Let y = -13 + l. Suppose d - 1 = y. Calculate the highest common divisor of d and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - 4 + 4 + (5 - 4 + 0)*(-3*v + 4*v - 2*v) - 1 - v + 1 + (-4 + 6 - 3)*(2 - 2 + 2*v) + 0 - 2*v + 0.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 348061 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (14 + -5 - 5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 189 + -186. Find the first derivative of 2*q**4 - 1033*q**3 + 1007*q**3 + 2*q**4 - 2 - x*q**4 wrt q.\nAnswer: 4*q**3 - 78*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tlttlllglm. Give prob of picking 3 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 11:01 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 + -10. Let x(l) = -2 + l**2 + 0*l**2 - 2*l + l**n. What is x(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 + 2*j**2 - 13*j**2)*(-5*j + j + j).\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1469111109 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*j - 15. Let p = j - 18. Is p greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26582291.2 to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-222)\/(-33))\/((-10)\/85). Let j = -57 - w. Let t be (45\/(-10) + 3)\/2. Which is the second biggest value?  (a) 2  (b) j  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-5\/2)\/j**(2\/3)*(j**0*j)\/(j**(4\/5)*j))\/((j*j\/(j**(-2\/3)*j))**(-3\/49)\/(j**0\/j)**(-2\/141)) assuming j is positive.\nAnswer: j**(-266027\/69090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 4356?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 3*y - 5*d, 16 = 10*y - 8*y - 2*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 0.04, -8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -23*d**2 - 3*d + 20. Let z be 10\/(1 - 0)*-1. Let v be 1\/5 + 172\/z. Let y(j) = 8*j**2 + j - 7. What is v*y(s) - 6*l(s)?\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6446 + 6443. Let r = 0 - 1.6. Put -2\/7, r, o in ascending order.\nAnswer: o, r, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -708*l + 712*l - 46 = -3*v, -9*v = -5*l + 32 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(2) + (sqrt(44)\/sqrt(2))\/sqrt(11)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25530 - -25631. Solve -16 = -17*g - a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4, 22, 54, 106, 184?\n\"Answer: p**3 + p**2 + 8*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and 74256.\nAnswer: 74255.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p - 9. Suppose t - 7 = 10. Let k(z) = -14*z - 26. What is t*j(w) - 6*k(w)?\nAnswer: -w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 4*p + 12. Let h be (p - -1)\/(4\/(-20)). Solve a + 28 = -2*g - 3*g, h*a + 2*g + 25 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 + 6*g + 4. Suppose 5*t + l + 20 = 0, -3*t = -t - 2*l + 20. Let v be x(t). Which is the closest to v?  (a) 6  (b) 0  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -16, 474, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = 7*u - 20. Let b(o) = o**2 + o + 1. Let j(c) = -3*c**2 - 17*c - 9. Let h(s) = u*b(s) - j(s). What is the units digit of h(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, 1\/171, -3\/1652, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -8*s. Let v = -2 - -4. Let u(j) = v*j**2 + 0*j**2 + 0*j**2. What is i(u(q))?\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hfhfhh. Give prob of picking 2 f and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 305*g = a + 302*g - 13, g + 7 = a. Let n(l) be the first derivative of -26 - a*l + 4\/3*l**3 - 2*l**2 + l**4. Factor n(b).\nAnswer: 4*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 67.15381 to one decimal place.\nAnswer: 67.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 10:23 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 13*z**2 + 11*z - 26. Let q(f) = -3*f**2 - 2*f + 6. Let w(x) = -9*q(x) - 2*t(x). Calculate w(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355214216 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 0 + 6 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f + 46. Let v be l(-19). Let k(x) = -x**3 - 3*x**2 - 7*x + 10. Is k(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 2) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/4  (b) -0.4  (c) 2\/15  (d) 250.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p\/(((p*p\/(p\/p**10)*p)\/p*p*p)\/p*p)*(p\/p**(-12)*p)\/p*(p**(2\/13))**(-13\/4) assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.5, -4, 641 in decreasing order.\nAnswer: 641, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 1.1  (b) -1  (c) 19  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-167)\/(-2))\/((-30)\/(-4)). Let j = -11 + n. Let a be 3\/(-2)*1\/(-3). What is the nearest to 1 in -3, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4*(sqrt(605) - sqrt(605)*2) + (sqrt(80)*-3 - -3*sqrt(10)\/sqrt(2))**2)*1.\nAnswer: 44*sqrt(5) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 122 and 6893?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*n + 354*n - 217*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m + 3. Let r be (10 - 7) + -1 + -2. Suppose 0 = 3*j + 3*l, 2*j + 5*l - 9 - 3 = r. Calculate the least common multiple of 11 and a(j).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -802, -35, -24 in descending order.\nAnswer: -24, -35, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1896 is divided by 190.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 - -36. Solve h*r + 12 = 0, -i + 4*r + 1 = -10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4505\/1500)\/1 - 3. Let j(f) be the third derivative of 3*f**2 + 1\/50*f**5 + 0 - n*f**6 - 1\/20*f**4 + 1\/15*f**3 + 0*f. Determine o, given that j(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a - 3. Let s(k) = 8*k + 11. Let i(w) = 9*m(w) + 2*s(w). What is i(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 10*c - 16. Let a be 7*-4*(-4)\/16. Let y be x(a). Suppose -3*q = y*b - 2*b - 153, 3*q - 157 = -5*b. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2084 + -2077. Which is the closest to z?  (a) -0.1  (b) 5  (c) -0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*u = -4*l - 58*u + 5631, 5*l - 7042 = 3*u. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30126 - -30130. Put b, -3, 93 in descending order.\nAnswer: 93, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5082*s = 5098*s + 288 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4550 and 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = v - 81. Suppose -117*t + 120*t + 33 = 0. Let k = t - v. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:37 AM and 3:19 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2*f + 218 = 2182, -3*x = -2*f - 1487. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 5*b**3 + 71*b**2 - 59*b - 4. Let f be y(-15). Sort 5, -2, -3, -4, f in descending order.\nAnswer: 5, -2, -3, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-8))\/(49\/56 + -1). Solve 2*c - y = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46\/161)\/((-15)\/(-7))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 0.27, -0.7, -3\/5 in ascending order.\nAnswer: -0.7, -3\/5, 2\/9, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2659 + 2662. Which is the second smallest value?  (a) -2  (b) -1\/3  (c) -1\/16  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h - 2. Calculate i(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 969570.6kg to nanograms.\nAnswer: 969570600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*v + 21*v - 5 = 0. Let i(h) be the first derivative of -4*h**5 - 10*h**v - 11*h**5 - 18*h - 6 + 23*h**5. Differentiate i(a) wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -270 - 7*f - 2*f + 2*f + 8*f + f in the form o + r*f and give o.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 514135.5 years to centuries.\nAnswer: 5141.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -3. Let c(s) = 8*s**3 + 4*s**2 + 3*s. Let p(n) = n**2 + n. Let q(b) = c(b) - 3*p(b). What is q(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 - 7*t**2 - 5*t - 8. What is h(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -52  (b) -0.1  (c) -3  (d) -5403  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.1  (b) 81  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 0*k - 2*k)*(k - 3*k + 0*k)*(-4*k + k - k + (0 + 0 - 1)*(3*k + 0*k - k) - 4*k + 2*k + 0*k - 4*k + 6*k + 9*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -5*d - 27. Calculate t(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*h**3*q + 172*h**3 - 15*q wrt q?\nAnswer: 5*h**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 s when two letters picked without replacement from {z: 3, l: 6, s: 4}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3202 (base 14) to base 8.\nAnswer: -20662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5 - 0.8. Which is the second biggest value?  (a) 4  (b) u  (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(3600) + sqrt(3600) - sqrt(36))\/(3*sqrt(588) - sqrt(588) - sqrt(588)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4289 - 47129\/11. Find the common denominator of -73\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -4, -3*n = k - 6*k + 717. Suppose -k = -3*g + 39. Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 343855 and 5.\nAnswer: 1719275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 4*v**2 - 16*v + 1. Let z be b(7). Let a = -82 + z. Suppose 5*u - 1 = -5*n - 16, -2*n = u + 3. Sort a, 7, 4, n in decreasing order.\nAnswer: 7, 4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -693862 or -693861?\nAnswer: -693862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w. Let a(c) = 43*c**2 - 11928 + c + 11928. What is g(a(u))?\nAnswer: 43*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 219 and 16410327.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*g)*(1 + 5 - 4) - 2*g + 4*g - 3*g + 2*g - 4*g + 3*g + 0 + 0 + 2*g + 0 + g + 0 + (g + 2*g - 2*g)*(1 - 2 - 1).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/3 + 436*k + 142572.\nAnswer: (k + 654)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + (0 - (2 + -1)). Let u be (-4)\/((-2 - -5) + -1). Which is greater: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1269 and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + u + 1727 = 0, 3*u + 2157 = 11*v - 6*v. Does 54 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from vccwvwwvvcwwvvcv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.5550207 decades?\nAnswer: 66.602484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 115, 5, -5, 120.\nAnswer: -5, 5, 17, 115, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/2 + 6\/(-4). Solve -9 = -4*v - s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -81, -84, -87?\n\"Answer: -3*h - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 10) + 9 - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8575*j**5 + 34545*j**4 - 47810*j**3 + 21200*j**2 + 5760*j - 5120 = 0. Calculate j.\nAnswer: -2\/5, 1, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*j + 3*t + 6, 3*j = 6*j - 5*t - 4. Suppose -566 = -j*d - 5216. Is (5 + d\/15)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 181\/30 and -68\/243.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + h + 30 - 11, -q = -4*h - 21. Let n(f) = 4*f**3 + f**2 + 7. Let l(j) = -6*j**3 - j**2 - 10. Let b = -14 - -21. Determine b*n(w) + q*l(w).\nAnswer: -2*w**3 + 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39634*k = 39321*k + 2504 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -7383.67 to the nearest 10.\nAnswer: -7380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*z**3\/2 - 3953485*z**2\/2 + 9883760*z - 11860530 = 0. What is z?\nAnswer: -790702, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4*r = p, 5*p = -r. Let y = 5 - 10. Let m be (-1 - 0) + 0 - y. Solve p = m*z - i - 2, 4*z + 4 - 2 = 3*i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 873 and 13386.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10040 - -2?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**5 + 2*z**5 + 0 - 6)*(4 - 2 + 0).\nAnswer: 4*z**5 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 0*u**3 - 13\/4*u**4 - 62*u**2 + 0*u - 32. What is the second derivative of z(n) wrt n?\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1204540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-78)\/(-18486)*-79)\/(2\/372).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5157311.\nAnswer: 331, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 512821, 512827, 512835, 512845, 512857, 512871, 512887?\nAnswer: 512905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -15*r + 2. Let d(a) = 11*a - 3. Give -4*d(c) - 3*g(c).\nAnswer: c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/4569165067?\nAnswer: 1\/4569165067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7, -9, 7 in decreasing order.\nAnswer: 7, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -4.8, 2\/3, -4\/11 in decreasing order.\nAnswer: 2\/3, -0.2, -4\/11, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(3\/2)*(k\/(k**(-1\/5)*k*k))\/k*k)\/(k\/((k\/(k*k**(2\/7)))\/k))**(-16)*(k**(-1\/18)\/k**(5\/4))**(-20) assuming k is positive.\nAnswer: k**(40561\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10989358\/7 or -1569909?\nAnswer: -1569909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -22 in descending order.\nAnswer: 5, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54 - (-77 + -4)) + (0 - (1 + -3) - -1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 + -8. Suppose j + 5 + 4 = 5*q, 5*q + 5*j = a. What is the third derivative of q*s**3 - s**3 - 3*s**3 + 3*s**2 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(68))**2 + sqrt(1088)*-1.\nAnswer: -8*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 7*l**2 - 63265*l + 6*l**2 + 63465*l + (l**2 + 2*l - 2*l)*(0 - 1 - 1).\nAnswer: -3*l**2 + 200*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -145290 (base 14) to base 9\nAnswer: -1285060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 862, 1416, 1662, 1600, 1230, 552, -434?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.130198 - 3.9408.\nAnswer: -2.810602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*9682\nAnswer: 968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**3 + 463050*f**2 - 469865*f**2 + f**3)*(-2*f**2 - 3*f**2 + 3*f**2).\nAnswer: -2*f**5 + 13630*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4511 (base 9) to base 11\nAnswer: -2559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 + -23 + -4 - -6. Suppose 0*q - 5*q = -4*b - 6, -2*b - 5*q = 18. Put z, b, 2 in ascending order.\nAnswer: z, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - p = 170, 4*p + 20 - 4 = 0. Let k = o - -77. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/121 and 52\/4609?\nAnswer: 50699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 46007 or 46006?\nAnswer: 46007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 16*w**2 + 3*w - 24. Is 12 a factor of h(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6 + 7 - (-11)\/(-13). Let g = -0.4 + 0.39. Which is the nearest to 0?  (a) 3  (b) g  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3645 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 15*o - 22. Calculate v(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -608  (b) -7\/4  (c) -1187  (d) 2\/3  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -46\/13?\nAnswer: -46\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 24, -290, 1, 4 in descending order.\nAnswer: 24, 4, 1, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 22*a - 548650 = 0. Suppose 7*g = 4*h + 8*g + 87804, h - g = -a. Round h to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7350 + 7582. What is the remainder when 464 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o. Let h(b) = -b**2 + 7*b + 7. Suppose -3*y + 12 = -y. Let u(n) = n**2 - 6*n - 6. Let x(c) = y*h(c) + 7*u(c). Calculate r(x(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3474302, -3474098, -3473884, -3473654, -3473402, -3473122, -3472808, -3472454?\n\"Answer: y**3 - y**2 + 200*y - 3474502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*l = -40*l + 270. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4879 greater than 1560829\/320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 6:39 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*c - 15 - 9 - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/((-8)\/12) + -2. What is the remainder when 39 is divided by 11\/(u + (-4)\/8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 203000 and 537250?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - -1.6095988013.\nAnswer: 5.6095988013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40 + -4 + (-25 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + d - 14 = 3, -2*y + 2*d + 14 = 0. Solve -3*p - 4*t + 6 = -y*p, -3*p = -4*t + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -69*p - 353. Calculate m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*f = 11, -2*f = -4 - 2. Calculate the common denominator of (-37)\/(-4) + 1 + 0 and ((-185)\/60)\/((-1)\/h).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -9*g**2 + 2. Suppose x = -3*x + 8. Let c(k) = -539*k**2 + 121. Let j(o) = x*c(o) - 121*q(o). Let p(y) = 8*y**2 - 6*y**2 + 3 - 3. What is p(j(n))?\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -88777 rounded to the nearest 1000?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 3*b**2 - b**2. Let c(l) = 7*l + 0*l + 3*l - l. Calculate c(r(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 130, 510, 1140, 2020, 3150, 4530, 6160?\n\"Answer: 125*q**2 + 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 168.5 and 4.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/3, -1\/5, 5, -0.01?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/6))**(11\/2)*y*y\/(y\/(y\/y**(-1\/8)))*(y\/(y**1\/y)*y)\/y assuming y is positive.\nAnswer: y**(53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13378 + 1144460.\nAnswer: 1131082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 - -23. Suppose 4*k - v = w + 5, k = -w + 17. Let c be 2\/(-6) - 2\/(w\/(-63600002)). Round c to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s + 8913 - 165194 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -71 - -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2068 - 196461\/95. What is the closest to v in -0.4, 0.04, 0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 4, -486?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.677461um in centimeters?\nAnswer: 0.0000677461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13120010 (base 4) in base 2?\nAnswer: -111011000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0 and 3.0462?\nAnswer: 3.0462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, c: 3, g: 4, t: 1, o: 3, l: 2}. What is prob of sequence jc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddrhdhddddddhdhhdh. Give prob of sequence hd.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7216953 to the power of 1\/2, to the nearest integer?\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -0.3, -4, 1\/3, -29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -474, -1655, -3592, -6285, -9734, -13939, -18900?\n\"Answer: -378*f**2 - 47*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 >= 467205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 296 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5346, 1, 0.4 in descending order.\nAnswer: 5346, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -266233099921\/2013935 + -98815\/73234. Let n = 132198 + r. Find the common denominator of 11\/10 and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 6. Suppose -8*a = -u*a - 70. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -92 + -2 + (7 - 24 - -28)\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -82, -126076, 2 in decreasing order.\nAnswer: 2, -3, -82, -126076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 8 = -2*n, 5020739*n = -8*s + 5020735*n + 64 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 363146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t**4 - 6*t**3 - 1 + 4039*t + t**2 - 4041*t + 24*t**3 + 4*t**4 as a*t + j*t**3 + m*t**4 + v + x*t**2 and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 624018947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6bd (base 16) in base 11?\nAnswer: -1329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 109 - 105. What is the smallest common multiple of ((-3)\/c)\/(48\/(-128)) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -396 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 678 is divided by 568?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -17075, 18 in decreasing order.\nAnswer: 18, 4, -17075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 145 and 17255.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 12*y**2 + 7*y - 26. Let t be m(12). Is (t\/4)\/((-3)\/(-30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -3*w**2 - 4*w + 2*w**2 + 1 + 2*w**2. Let l be g(2). Suppose -14 + 3 = -t + 5*n, 1 = 2*t - 3*n. Put t, -2, l in descending order.\nAnswer: -2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of -5\/12*s**4 + 0*s**2 + 0*s**3 - 16*s + 0. Let k(i) = -i**2. Give c(k(j)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.41 - 1.38. Let z = -0.03 + m. Which is greater: -3\/5 or z?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y**2 - 5*y. Let a(h) = 2067*h**2 - h + h - 2069*h**2. What is a(q(d))?\nAnswer: -98*d**4 - 140*d**3 - 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(304) + -1)*3 + -3)**2 + -2.\nAnswer: -144*sqrt(19) + 2770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 PM and 10:02 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18658461?\nAnswer: 3, 131, 197, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 + 5 - j - 10 to t + u*j and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 21539137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 214506, 214507, 214508, 214509, 214510, 214511?\n\"Answer: n + 214505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -5*i - 1. Suppose j = 6*j - 65. Let g = j - i. Calculate the remainder when 23 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 2*l + 1 = 11, 5*l = 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 119772*h*s**3 + 23*h*s**2 + 226261*s**3 - s - 3 wrt h.\nAnswer: 119772*s**3 + 23*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 3028672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + 21 + (7 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 856654 divided by 27634?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the first derivative of -2\/17*n**2 + 2\/51*n**3 + 2\/17*n - 8. Factor q(x).\nAnswer: 2*(x - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*6*(4 + 38\/(-9)). Which is the nearest to 2\/5?  (a) 4  (b) y  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3155313 is divided by 99?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38010*d + 1 - 1 + 3023*d.\nAnswer: -34987*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = -w + 5*p + 6, -4*p + 108 = -4*w. Let v(y) = -3*y - 25. List the prime factors of v(w).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 22 = -o, 72 = 3*u + 5*o + 46. Sort -4, 4, 23, u in increasing order.\nAnswer: -4, 4, u, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-42)\/9 + 4)\/((-8)\/72). Solve -4*n = -p*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 22.1 and -998?\nAnswer: 1020.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 12 = -0*h. Let j(b) = -b + 6. Let m be j(h). Solve 5*t - 20 = -m*x, 2*t = -0*t + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -59646641, -59646643, -59646645?\n\"Answer: -2*f - 59646639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 14, 26, 38, 50?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 5*k + 31, -10 = 5*t + k + 3*k. Find the third derivative of -16*c**6 + 219*c**5 + 2*c - c**3 - 219*c**5 - 53*c**t wrt c.\nAnswer: -1920*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - h + 224, -6*x - 3*h - 263 = -x. Let y = x - -60. Which is the closest to y?  (a) -1\/3  (b) -2\/15  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 5*k**2 - 9*k. Let j(x) = -x + 805*x**2 + 0*x + x - 807*x**2. Determine a(j(z)).\nAnswer: 20*z**4 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -177 = 2*r - 167 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 4\/3, -5, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = q + q. Let l = -42 - q. Solve 5*i + 2 + 3 = l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((10\/12)\/(559\/(-258)))\/((-10)\/6).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -19*m**3 + 113*m**2 + 6*m + 4. Let w be b(6). Solve 21 = 5*f - w*v, v + 3 = f - v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 7*g**2 + 36*g - 277. Calculate a(-11).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 16*w**3 - 3*w + 6*w**3 - 2 - w**2 - 21*w**3. Determine f(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 102\/10241 or 648?\nAnswer: 102\/10241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 41 = -4*j - 14, 5*j = 3*o + 33. Suppose 0 = r - j. Let p = 10 - r. Which is the nearest to -0.1?  (a) 0  (b) -0.1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2071 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -755 (base 11) to base 5\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -290215273 to the nearest ten thousand.\nAnswer: -290220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -8 and -236?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-77)\/(-33) - (-2)\/(-6). Suppose i = -l*f + 36, 2*f + 3*f = 2*i + 108. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6 + (-8)\/(5 - 1). Suppose -5*j = x - f, -3*x = 3*j + 7 - 19. Let z(d) = 2*d + 1. Let y(o) = -1. What is x*y(i) + z(i)?\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 5*d - 40, -3*j + 0*j = d - 10. Suppose -1 = h - d. Suppose -84 = -x - q, -3*x + h*x = 5*q + 292. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-4) + (3 - (9 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 385060 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5410186 plus -238331569?\nAnswer: -243741755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuvvvu. What is prob of picking 3 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -35\/419 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.62461 - 4.902.\nAnswer: -5.52661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 205 + -146. Let w(v) = -v**2 + 10*v - 4. What is the remainder when l is divided by w(6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 5*c - 17 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2752.589 milliseconds in microseconds?\nAnswer: 2752589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -1\/9  (b) -0.02  (c) 10  (d) 4\/5  (e) -2  (f) -26  (g) -106\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2 + 3*y + 3 - 24*y**2.\nAnswer: -24*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 96*-494.5\nAnswer: -47472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -2\/3, 99, 0.4, 1\/3, 3\/2 in decreasing order.\nAnswer: 99, 3\/2, 0.4, 1\/3, -2\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + sqrt(85)\/sqrt(5) + -5 + 3 + (sqrt(17) - (sqrt(68)\/sqrt(4) + sqrt(17))).\nAnswer: -2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 7 = -2*j - 66, v = 2*j + 25. Suppose v = 4*b + 1. Let r be b + (-5)\/(20\/(-231984)). What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4474.065 - -4474. Sort q, -3\/2, 7 in ascending order.\nAnswer: -3\/2, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 519 (base 10) to base 7\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-61 + 12 + 5)*(-4*d + d + 2*d).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 11*l - 7. Let c(i) = -34*i + 22. Determine -10*b(u) - 3*c(u).\nAnswer: -8*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddk when three letters picked without replacement from dkdkkkddddd.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1228091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 - 4*x + 5. Let p be v(4). Let u = p + -2. Suppose -30 = -3*o - u. Calculate the remainder when 17 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1839200 and 3800?\nAnswer: 1839200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u + 3*u - 2*u)*(-164 + 21 + 32*u**2 + 142 + 16*u) in the form s*u + p*u**3 + c + v*u**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -189\nAnswer: 19\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13458022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - 66. Suppose 2*k - 341600 = -m*k. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-4\/5))**(-11\/4)*(n**(-4\/13)\/n)\/(n**(-11\/5)*n))**(-22\/9) assuming n is positive.\nAnswer: n**(-2992\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 235445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -18*z + 586. Give l(46).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-345)\/(-690))\/((-4)\/6)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*a = 49*a - 119. Let s be (6\/(-7))\/((-17)\/a). Suppose 3*t - i = 1, 3*t - s*i = -i + 5. Let z(h) = h**3 - h**2 + 2. Calculate z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 64.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1804309701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 8948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -514002?\nAnswer: -514005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1\/13, -10, 32, -0.5, -187, 2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5, 28, -0.2, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 10*w + 4*h - 35 = 0, -h = -5*w + 10. Let v = -0.5 + -1.5. Suppose -n = 9*n - 10. Which is the smallest value?  (a) n  (b) w  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*d + 17. Suppose 4386 - 183 = d*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(1331) + 0.\nAnswer: 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.15 + 0.1567. What is q rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28.1 + 28.6. Let p = -1 + 0.8. What is the nearest to -0.1 in p, z, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -418 = -46*g - 70 + 250 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 142\/5, 0.024, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -37, -2.6 in ascending order.\nAnswer: -37, -2.6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192374*l - 192374*l + 261*l**2 + 109*l**2.\nAnswer: 370*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the first derivative of j**5\/180 + 7*j**4\/18 + 98*j**3\/9 + 59*j**2\/2 - 7. Let z(q) be the second derivative of d(q). What is w in z(w) = 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i\/i**8))*i)**(3\/8)*i\/i**22*i*i**(-11\/6)\/i*i assuming i is positive.\nAnswer: i**(-289\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -436, -1370, -2800, -4726, -7148, -10066, -13480?\n\"Answer: -248*b**2 - 190*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of 185*t**4\/24 + 149*t**3\/6 + 156*t**2. What is the derivative of s(q) wrt q?\nAnswer: 185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*t + 1699 = 759 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 i when three letters picked without replacement from qqqqqqqqiqqqqqq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 114527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(6575\/1645 - 4). Let h = -198 + z. List the prime factors of h.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/(o*o**(6\/11)*o))\/(o**(8\/5)\/o))\/(o**6\/(o**(-9)*o)))**(-13\/6))**(6\/25) assuming o is positive.\nAnswer: o**(11544\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3130 = -5*a, 1819 = 5*x - 4*a - 1320. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l = 2*c + 119, 0*l - 17 = 5*c + 2*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 3*q + 20, -5*q + 3*z + z = -16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2\/5 + 1494*d\/5 + 186003\/5.\nAnswer: 3*(d + 249)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*1 + -7 + 9728\/976. Which is the smallest value?  (a) -4  (b) 2\/13  (c) x  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 4*t - 37, -w + t = 55 - 63. Let f(g) = -g**3 + 6*g**2 - 2*g. Calculate f(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56810613.\nAnswer: 3, 281, 67391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-18))\/(36\/11340)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (700\/(-90)*(-3996)\/518)\/((-6)\/4).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -721*x = -461*x - 4160 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 11*z**2 - 19*z + 15. Calculate g(-8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/7, -1, -153, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 97 + -175. Let n = p + 83. What is the smallest value in n, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 12*u - 3820. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4163242 is divided by 121.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3196.382 nanometers?\nAnswer: 0.000003196382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 10020*r.\nAnswer: -2*r*(r - 5010)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 89 - 85. Suppose -5*k - 8 = 3*v, 2*v + 16 = -2*k + p*v. Let g be (k\/12*-6)\/86. Is 1 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**2 + 8*u - 8. Let z(g) = g - 1. Let y(l) = -m(l) + 8*z(l). Let b(q) be the first derivative of -4*q**3\/3 + 2. Calculate b(y(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-3)\/(-6))\/(6*9\/18).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -336.411136364642 - 142064250.588796635358. Let a = p - -142064697. Let r = -110 + a. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (92\/16 - 5)*2. Sort 5, l, -0.21 in ascending order.\nAnswer: -0.21, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-100)\/8*18\/(-45). Put 2, 4, r, -5 in increasing order.\nAnswer: -5, 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13.878 + -14.178. What is the nearest to v in 5, 1, -1, 86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72 + -100. Is 2389\/7 + w\/98 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkdpptkppppku. What is prob of picking 1 p and 1 d?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 13*r**2 - 37*r + 76. Let s be x(10). Let h(o) = o**3 + o**2 - o + 42. Let i be h(0). What is the greatest common divisor of i and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*b + 3*n - 10, -2*b + 3*n = -4. Suppose 9 = -b*u + 5*u. Let r(t) = 0*t - u*t**2 + t + 4*t**2. Calculate r(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -429, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -108 + 130. Suppose -8 + l = 7*w. Solve -w*f - 5 = 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.22425 to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 1814139994609?\nAnswer: 1814139994608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84 - 30 = 63*v + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 6:31 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 56 = -5*p, 0*p + 70 = 5*a + 2*p. List the prime factors of (a\/42)\/((-1)\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -88 times 26\nAnswer: -2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*r**4 + 3*r**3 + 65*r - 43875 wrt r.\nAnswer: -40*r**3 + 9*r**2 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -b2441 (base 14) to base 10\nAnswer: -428905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 47*q**3 - 175*q**2 - 36*q + 164. Let h(z) = -9*z**3 + 35*z**2 + 7*z - 33. Let f(v) = 11*h(v) + 2*o(v). Solve f(m) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 12*o**3 - 39*o**2 - 29*o - 18. Let u(c) = 5*c**3 - 16*c**2 - 12*c - 9. Let w(d) = 3*q(d) - 7*u(d). Determine w(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46008 and 18?\nAnswer: 46008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 2 - (0 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3564 divided by -1782?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -4 + ((sqrt(88) + -1*sqrt(88)*-5 - sqrt(88)) + sqrt(88) + 2*sqrt(88)*-4 + sqrt(88))\/(sqrt(24)\/sqrt(3)*6 + sqrt(648)*1))**2 + 4.\nAnswer: 4*sqrt(11)\/15 + 1811\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-4) + -2)\/((-3)\/12). Factor 1\/5*r**5 - 3\/5*r**4 + 0*r + 3\/5*r**3 + 0 - 1\/5*r**d.\nAnswer: r**2*(r - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, u: 5, k: 3, a: 2, h: 5, m: 4}. What is prob of picking 1 m, 1 a, and 2 k?\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*w - 246 + 247 - 93*w + 341*w**2.\nAnswer: 341*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 55888107 to the power of 1\/2, to the nearest integer?\nAnswer: 7476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - l + 23. Let b be w(4). Let m(d) = -48*d + 923. Let n be m(19). Solve -b = n*x - 12*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (154 + -150)*(-3554)\/8. Let v = f + 1780. Solve 0 - 12\/5*a**v + 4\/5*a**4 - 36\/5*a**2 - 4*a = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 651523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -134.9 + 125. Let o = n - -10. Is o bigger than 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/1164 and 11\/3104.\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-7)\/3)*((-2231)\/(-92) + -24). Let k = -0.03 + -1.97. Let y = k + 3. Which is the closest to h?  (a) y  (b) 0.4  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 150, 0.06, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*c + 4*c - 6*c - c - 2 + 2 + 3 - 3 + 2*c + (-13*c + 19*c - 14*c)*(6 - 1 - 1) in the form j + b*c and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n. Let i(f) = -f. Let t(d) = -3*i(d) + z(d). Let j(y) = y + 0*y - 4*y. Give t(j(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -22 - (-16 - -8 - 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**2\/2 + 603*t - 121203\/2 = 0. Calculate t.\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96666 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1903824 and 84240.\nAnswer: 9519120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 122*y - 1. Let n(m) = 29*m - 29*m - 2*m**2 + 0*m. Give n(h(t)).\nAnswer: -29768*t**2 + 488*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*r + 6*r + 7*r)*(9*r - r + r).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of k**5\/30 + 5*k**4\/12 + 3*k**3\/2 + 17*k**2. List the prime factors of j(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -7.43  (c) 1541  (d) -0.4  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - 0 - (-28)\/(-36). Let f be (-2)\/5 - 73\/80. Let n = -3\/16 + f. Which is the smallest value?  (a) n  (b) u  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14734 is divided by 156.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*z + 6, -2*c + 5*z = -5. Solve 8*n - 3 - 37 = c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-130)\/(-260)*12\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + (2 - 3))*-46. Let n = g - -50. Suppose -3199 = -n*y - 4*i + 3017, 2*y = -5*i + 3093. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -879*j**3 - j - 991*j**3 - 1 + 126*j**3 + j**4 to s*j + a*j**3 + w*j**4 + k + u*j**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 19 + 1 = 0. Suppose -b*i + 6 = -2*i. Let h = -1 + 2. Solve -i*q + 8 = 3*u, 5*u = q + h + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 31480.4793 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/l**(-2)))**(-25)*(l\/(l*l**(-1)\/l))**40 assuming l is positive.\nAnswer: l**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 98 and 4942?\nAnswer: 34594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8362 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24070, 48145, 72222, 96301, 120382, 144465, 168550?\nAnswer: 192637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 3*g + 4. Let t(v) = 3*v - 1. Let w be t(-2). Let z(b) = -b**2 - 8*b - 2. Let m be z(w). Is j(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103, -306, -645, -1120, -1731, -2478?\nAnswer: -3361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 - 15*t - 14. Let o be c(-14). Let p be (2 - o) + 1*-1. Let m(z) = 13*z. Determine m(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3420114 (base 7) to base 13.\nAnswer: 11b602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -36*q**2 + 1183468*q + 8154488 = 0. Calculate q.\nAnswer: -62\/9, 32881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p + 12. Let t(h) = 3*h - 11. Determine 3*t(g) + 4*w(g).\nAnswer: g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 27*q - 22. Let f be j(-11). Let k = f + -1692\/11. What is the second biggest value in -5\/2, 0.2, k, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -k - b + 5, 4*k = 5*b - 6. Let u be 0*k\/(-4 + 1). Which is bigger: u or -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1673935888094 minus 0.4?\nAnswer: -1673935888094.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -39 + 39. Is y <= 5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4202 = -2*b - n - 3*n, -4*n = -4*b + 8440. Does 49 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(77)*2*2)\/sqrt(7))**2 + -1.\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4722 and -310.\nAnswer: -1463820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.41 - -0.11. Let m be ((-21)\/(-9) + -1)*42\/98. Which is the biggest value?  (a) m  (b) s  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2932, 2933, 2934, 2935?\nAnswer: 2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 4*t - 7. Suppose -2*j - 1175 = -3*i, -3*i + 3 = -12. Let d = 584 + j. Let u(q) = 5*q - 7. Determine d*n(v) - 3*u(v).\nAnswer: v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*g - 3*g + g**5 + 4*g**2 - 2*g**5 - 4*g**2 + (-3*g**5 + 2*g**5 + 2*g**5)*(-5 + 3 + 1) - g**5 - 4*g**5 + 4*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide (6*-298)\/((-549)\/366)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-48)*16\/(-6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:27 PM and 4:11 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1\/2  (b) 4  (c) 2\/13  (d) -244\/109  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 4822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1803334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 - 26*h - 46. Determine y(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63\/187 - 376\/561. What is the closest to 0.1 in 0.1, -23, -1\/6, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-4)\/(-3))\/4)\/((-9)\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003694651 rounded to 7 decimal places?\nAnswer: -0.0003695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 1 = s + 5*x, -4*x + 4 = 0. Let n be 7 - (1 - (-1)\/1). Solve h = -n + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j**3 - 4*j**3 + 5*j**3)*(2 - 5 - 6*j + 4) + (0*j + 0*j - 5*j)*(-2*j**3 - 8*j**3 + 4*j**3) to y + t*j + x*j**3 + n*j**2 + r*j**4 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + 0 + -4 + sqrt(7))*1 + (sqrt(21)\/sqrt(27) + -5)**2)*-5*-2.\nAnswer: -40*sqrt(7)\/3 + 1960\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 238\/(-21)*((-3)\/5)\/((-6)\/15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 55449 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**4 + 0 + 0)*(6 - 1 + 4).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 1348, -2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m - 3*m + 0*m)*(-3945 + 5489 + 10372) to a*m + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 8*x**3 - 3*x**2 - 7*x - 3. Let r be v(4). Suppose r = 6*y + 49. Let d(k) = -128 + 64 + y + 2*k**2. Let m(w) = -w. Give m(d(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000025545933 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 69 - 63. Let l(j) = -j + j - 6 + 2*j. What is l(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.4, 59, -4, 2, -2\/225.\nAnswer: -4, -0.4, -2\/225, 2, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 l, and 1 t when four letters picked without replacement from jbltbjlbb?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 301 - 301 - 19*o**3.\nAnswer: -19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 95952812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 6*z**2 + 4*z - 6. Let b be i(-7). Let v be -33*(1 - 3 - (-15 - -9)). Let o = v + 147. What is the highest common divisor of b and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n**2 - 7*n + 2. Let c(g) = -4*g**2 - 6*g + 2. Let y(f) = 4*a(f) - 5*c(f). Calculate y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154 a factor of 324692984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8633 - -8632.5841. Round s to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 95.15*-21.2.\nAnswer: -2017.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.0033  (b) -10  (c) -3\/2  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 0.001.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 4\/9, 1\/2 in decreasing order.\nAnswer: 1\/2, 4\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 171272573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 5  (c) -250  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 - 7. Let n = 16 - 13. What is the second derivative of 0*a**n - c*a + 5*a - a**3 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/8*8\/2. Let t(b) = -143*b - 55. Let w(k) = 8*k + 3. Let j(z) = -3*t(z) - 55*w(z). List the prime factors of j(v).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p - 1. Let z = 10 + -5. Let w(l) = 0 - z*l + 0 + 1. Let x(n) = -6*v(n) - 5*w(n). What is the derivative of x(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**4\/4 + 4*t**3 - 13*t**2\/2 + 2*t - 16. Let m be j(-13). Determine k, given that 0 - 1\/2*k + 3\/2*k**m - k**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-5) - ((-5418)\/70)\/(-43).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -442, -884, -1326, -1768?\n\"Answer: -442*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(608)*-4)\/(sqrt(18)*5).\nAnswer: -16*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45397 and 315359.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -5732.\nAnswer: 28660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*n = -4, n = -4*y - 0*n + 43. Solve 6*u = y + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g - 1. Let y(h) = -13*h**3 - 3*h - 3. Suppose -642*x + 701*x - 118 = 0. Calculate x*y(m) - 6*a(m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*g = 20452. Let n = g - 4087. What is n rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -999\/151763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*k**5 - 2 - 8 - 10*k**2 + 20*k**3 + 13*k**5 + 20*k**4 - 25*k.\nAnswer: 5*(k - 1)*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11\/3?  (a) 5  (b) 0  (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*x - 8 = 0. What is the third derivative of 4*v**2 + 24*v**3 - 20*v**2 - 2*v**x - 33*v**3 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1326962*u**2 - 3304354.\nAnswer: -2653924*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -d (base 14) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*a + 22*a + 17*a + 7*a.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssssssssssssssus. Give prob of picking 1 u and 3 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*b + 3*i, -5*b + 4*i + 22 = -19. Suppose b*o - 31 + 6 = -5*a, -5*a + 5 = 0. Factor 4*d**2 - d - 7*d**2 + o*d.\nAnswer: -3*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56610 and 612?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/sqrt(24))\/(sqrt(243) + 1*sqrt(243)).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 + 2 + -19 + 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 2035157869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r + 6. Let u be f(2). Suppose 4*o + 4*a + u = -0*a, -4*o + 8 = a. Suppose -b - 2*b = -2*x + 300, -4*x + 582 = o*b. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 2*t**2 - 24*t**2 + 3*t**2 + 26*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58168 is divided by 4656?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 582.6957 kilograms to tonnes.\nAnswer: 0.5826957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -248*b + 4. Let n(x) = 2*x - 1. Give -2*j(p) - 6*n(p).\nAnswer: 484*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -9708909 less than -9708922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-4))\/(2\/16). Let o(t) = 10*t**3 - t + 1. Let y be (-11)\/(-9) - 2\/9. Let b be o(y). Solve -2 = -r*d - b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 161344 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5 = 5*b, -15*m + 17*m + 4*b - 24 = 0. Let z = 103 + -55. Let y = z + m. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -39, -218, -375, -498, -575, -594, -543, -410?\n\"Answer: 2*t**3 - t**2 - 190*t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/11 greater than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 1067*h + 21 - h**2 + 13 - 1042*h. Let k be q(21). Which is smaller: k or 119?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**3 + 5*c**3 - 3*c**3 + (-2*c**3 - c**3 + c**3)*(-4 + 3 + 0) + 0*c**3 - 2*c**3 + 5*c**3 - 9*c**3 - 11*c**3 - 12*c**3 + 0*c**3 + 2*c**3 - 3*c**3 + 1.\nAnswer: -29*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*q - 3545 = -4653 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 360 by 2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -106*m**3 + m**2 + 3*m + 4. Let z be g(-3). Let p = z - 297. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -6, -677, 0, 1, 19, 6 in decreasing order.\nAnswer: 19, 6, 1, 0, -5, -6, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - 6. Let l = 189075.300012 + -189079.3. Let u = i - l. What is u rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/(-12)*(16\/(-10) + 1) and 9\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 255\/4 in -3, 4, -1\/3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = -2*m + 67. Let r = m + -49. Find the second derivative of 0*x**3 - 6*x**3 - r*x + 28*x wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 2 = -3*v + 4*f, -v - 4*f - 24 = 0. Let k = 175946.9 - 175947. What is the fourth smallest value in v, 3\/4, 7, k?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 153, -2\/9 in increasing order.\nAnswer: -6, -2\/9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 20*p + 14. Let w be f(-16). Suppose -4*h = -206 + w. Suppose -28*l = -h*l. Solve l = -0*v + 3*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 8:38 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/8, 4, 5 in ascending order.\nAnswer: 1\/8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yki when three letters picked without replacement from ieybokb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 + -3 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -192*v**2 - 93766884*v + 5860431.\nAnswer: -3*(4*v + 1953477)*(16*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 22\/3  (b) 4  (c) -4  (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from seznzn. Give prob of picking 2 n and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114189 is divided by 132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 - 21. Let p = -2 + q. What is the closest to -0.1 in 0, p, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, b: 5, x: 4}. Give prob of picking 1 x, 1 m, and 2 b.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d. Let m be i(-3). Let y(g) = -2*g**2 + 17*g - 8. Let l be y(m). Suppose 0 = 4*v - 5*v + l. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 2*k + 2. Suppose 31 = 5*s - c - 13, k*c + 43 = 5*s. Let j = s - 6. Solve 0 = q - 4*g - 16, -2 - 1 = -3*q - j*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1398179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -10*b + 12. Solve -2*j + b - 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 308 (base 12) in base 16?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = -10*y + 8. Let c = 33\/4 + y. Let z = -2 + 1.9. What is the nearest to c in z, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/7 - 10\/35 - 1. Is f less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 52 = 3*z, o + 3*o - 56 = -4*z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 9*p. Solve 0 = 4*r + a + 6, 8*r - 5*r + 5*a - 4 = p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**1\/q)**(-1\/4) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -1 + 1 - 2483*y + 2468*y. Let o be z(-1). Solve 5*b + 5 = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.5, 0.99, 3.96?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 1.6  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eqllqehlmdld. Give prob of picking 1 m and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6\/8*48\/(-60)*-5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.1, 0.018, -2, -0.035 in decreasing order.\nAnswer: 4, 0.018, -0.035, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 125 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/6)\/((j**8\/j)\/j*j)*(j**(1\/2)\/j)\/(j\/j**6))**(-9\/8) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35271230?\nAnswer: 2, 5, 307, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 487155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 150*v**2 - 2009*v - 14268. Determine j(-136).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -16\/5*u**3 + 0 - 4\/25*u**5 - u**4 + 63*u**2 + 0*u - 1\/100*u**6. Factor y(w).\nAnswer: -6*(w + 2)**2*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/563 greater than or equal to 903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32229*c - 49178 - 327134 = 10093*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/32*1*-8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*k - 9 = 0. Let d(h) = -6*h + 3. Let y(p) = p**2 + p - 1. Let x(s) = -d(s) - y(s). List the prime factors of x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 2*p**2 - 2*p + 4. Let s be b(-3). Which is smaller: -2\/15 or s?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 366778 or 369487?\nAnswer: 369487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the second derivative of 1\/3960*l**6 - 1\/330*l**5 - 2*l**3 + 0*l**2 + 0*l**4 + 0 + 31*l. Let q(x) be the second derivative of k(x). Factor q(h).\nAnswer: h*(h - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2)**(-1\/17)*f\/(f**(5\/3)*f)*f**(-6\/7)*f assuming f is positive.\nAnswer: f**(-586\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 - 3.99. Let y = -3.294 + 2.94. Let h = y - 0.646. Which is the fourth smallest value?  (a) h  (b) 4  (c) -0.5  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + 272437572?\nAnswer: 272437563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**(-7\/12)))\/w*w*w**(-5)*((w**(14\/5)\/w)\/w)**(-29))**(-9\/2) assuming w is positive.\nAnswer: w**(5181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s - 5 = -4*s. Suppose 3*t + 5 = k, 2 = -4*t - 3*k - 22. List the prime factors of 95 + (s\/t - 40\/12).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 69 + -69. Let i = 495 + -491. What is the third smallest value in 0.1, h, i, 2\/157?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -3*w - 7*k + 3*k, 3*w - k = -7. What is the remainder when (7\/(-2) - -3) + 35\/2 is divided by 8 - (-3)\/((-9)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 10:47 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + (2 - -7) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -1.8, 1, -13\/10, 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 2 - 22. Suppose 3*c = -3*v + 6*v + 9, -k*c - 4*v + 6 = 0. What is the highest common divisor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 200755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**5\/15 + k**4\/4 - 5*k**3\/6 + 58*k**2 - 2. Let t(z) = -9*z**2 + 13*z - 11. Determine -6*t(r) + 13*u(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 2*y**3\/3 + 2. Let o(p) = -1. Let k be (-10)\/(-4)*(-2)\/1. Let m(t) = t + 5. Let b(x) = k*o(x) - m(x). Determine b(i(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3 = 75. Let c = w - -31. Let l(o) = -o**3 + 7*o**2 - 4. Give l(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 57\/7 of a week?\nAnswer: 82080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*h**4 + 48*h**3 - 15*h**2.\nAnswer: -3*h**2*(h - 5)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 386 and 28253849.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 545023802 take away 0.1?\nAnswer: 545023801.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 130 + -127. Factor -80*v**5 + 22*v**2 - 120*v**4 - 3*v + 8*v**2 - 2*v - 5*v**k.\nAnswer: -5*v*(v + 1)**2*(4*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23931 is divided by 740?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w. Let t(y) = y. Let h be (-1)\/(2\/6*1). Let s(n) = h*t(n) + 2*b(n). Let a(m) be the first derivative of 4*m**3\/3 - 1. Determine s(a(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -12. Let k(r) = -r**3 - r**2 + r - 3. Calculate the remainder when -1 + 1 + 0 + 35 is divided by k(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + -4*sqrt(288))*6 - -3*sqrt(288)*-1)**2.\nAnswer: 127008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 9*h - 22 - 18 + 24 - h**2 + 0*h. Let p be q(4). Let d(r) = -r**3 + 3*r**2 - 6*r - 4. Let x(c) = -c**3 + 2*c**2 - 5*c - 3. Determine p*x(i) - 3*d(i).\nAnswer: -i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 68881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - c + 1. Let n = 4 + c. Solve 30 = -5*i + n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ce3e4 + -2?\nAnswer: ce3e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.2 + -1.8. What is the nearest to 0 in 1\/2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 228\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/4)\/d)**(2\/117)*(d*d\/(d*d**2)*d*d)\/(d*((d\/d**(2\/3))\/d)\/d))\/((d*d\/(d*d*d**3))**19)**(-10) assuming d is positive.\nAnswer: d**(-14777\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (315\/(-60))\/((-294)\/(-504)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*c + 89*c + 88 = 0. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-83 - -63) + 25 + (-25 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 3 - 3 = 0. Suppose -3 = -j + q. Solve -k = -4*l + 5, 0 = -j*l - 0*k + 2*k + 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/5))\/(o\/(o\/((o\/o**(-2\/59))\/o))) assuming o is positive.\nAnswer: o**(344\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*(w*w*w\/w**(-1\/3)*w)\/w)\/((w*w*w*w**2*w*w*w)\/w)*w**3*w**(5\/2))**(-3\/10))**34 assuming w is positive.\nAnswer: w**(-289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l + 70. Let j be c(33). Solve p - 3 = -j, -3*p = -f - 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 4:58 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 + 20*b**2 + 18*b.\nAnswer: 2*b*(b + 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*k**3 - 18*k**2 - 108*k - 120 = 0. Calculate k.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 143850 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) - (sqrt(320)*-1 + sqrt(320))) + (sqrt(180) + -2*sqrt(180))\/sqrt(9))\/(((sqrt(490) - (-1*sqrt(490) + sqrt(490))) + sqrt(490))*2*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -140 + 0 - (-12967 + 12832).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*n - 9958 = -76*n. Calculate the remainder when n is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**7\/33 + 19*v**6\/165 + 13*v**5\/110 - 19*v**4\/66 - 2*v**3\/11 + 405*v. Suppose q(g) = 0. Calculate g.\nAnswer: -1, -2\/7, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -15*n + 124. Let z be d(8). Let y(b) be the first derivative of -11\/5*b**3 - 18\/5*b**2 + 3 + 3\/25*b**5 + 108\/5*b + 3\/10*b**z. Factor y(m).\nAnswer: 3*(m - 2)**2*(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(153)*-2*-1.\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 366809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 60077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 18061028 to the power of 1\/2, to the nearest integer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -1567.679 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1911 = 20233*s - 20282*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 447381 and 460938?\nAnswer: 15210954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rgdyrdmys. What is prob of sequence yg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - v**2 - v. Let m be (2 - 3) + 0\/3. Let r be (-12)\/9 + m\/(-3). Let h be z(r). Is h >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4107 + -5009. Which is the second biggest value?  (a) -0.1  (b) -0.5  (c) y  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*v + 22*v + 113*v = -1764 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 1601 = j + 1615, -3*w = -15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2. Let x(g) = 7*g + g**3 - 4 + 4*g**2 + 4*g - 12*g. Let z be x(-3). Let s(n) = 2 - 8 - z*n + 7 - 3. What is s(b(a))?\nAnswer: -16*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43 and 109\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 192 = -0*x. Let g(u) = -18*u - 16. Let w(d) = 1441*d - 743*d - 697*d + 1. Give x*w(t) + 3*g(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2 - 2435?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -11*k + 13*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 106217814 and 88514845?\nAnswer: 531089070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 20.3. Let d = n - -3. Let h = -737\/2 - -370. What is the nearest to 2\/7 in d, h, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.2*11.\nAnswer: 68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53522.92 millilitres to litres.\nAnswer: 53.52292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*a + 3 = 0, -5*k + 3 = -3*a - 4. Suppose -k*h - 17 = -27. Solve 4 = 2*g + h*q, 2*g - 4 = 2*q - q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of g**8\/6720 - g**7\/1260 + g**6\/720 + g**4\/8 + 3*g**2. Let s(t) be the second derivative of j(t). Let s(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 19 = -13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00922915258 rounded to 6 decimal places?\nAnswer: -0.009229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 71 - 30. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -64\/6059951?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 422008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 14. Let x be (-34)\/a + (-8)\/(-36). Let h(p) = x*p**3 - 77*p**2 - 7*p + 9 + 72*p**2 - 3*p**3. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 12, n: 3}. What is prob of sequence nnm?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 23 = -l, -46*u - 17 = -49*u - l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence crel when four letters picked without replacement from syeeeysyclryeryrrs?\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d**2 + 19 - 19.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w + 3*w - 63 + 7*w + 42 + 51.\nAnswer: 11*w + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.22 rounded to zero dps?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 14*w + 156. Let q be k(-11). Solve -z - q*u = -6, 2*z - 4*u = 6*z - 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4400653131?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90149*i - 41612 = -89737*i for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103524?\nAnswer: 2, 3, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 40*y + 30*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1109, -2053, -2997, -3941, -4885, -5829?\n\"Answer: -944*f - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 11:57 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*d + 671594, -14*b - 671598 = 3*d - 17*b. Round d to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 119672 is divided by 29908?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, m: 6, s: 2, b: 4}. What is prob of sequence mdm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 83132 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -47. Let r = 36 - f. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5456 (base 8) to base 16.\nAnswer: b2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 190 - 13*j**3 - 774 + 193 + 199 + 192.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f**3 + 11*f**2 + 6*f - 4. Let t(b) = b**3 + 6*b**2 + 3*b - 2. What is 6*p(r) - 11*t(r)?\nAnswer: r**3 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11017952713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49045 - 49044.9. Let t = 15 + -10. Which is the second biggest value?  (a) i  (b) -2  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 2 + -34706 + 12 + -6. Let u be 20\/(-10) + 2 + 1 - w. What is u rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -129*w + 131*w. Which is the nearest to 0?  (a) w  (b) -3  (c) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*q**3 - 70*q**2 - 245*q - 8 wrt q.\nAnswer: 42*q - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 382, 768, 1154, 1540?\n\"Answer: 386*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.8194 + 0.0526. What is w rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -58.9 - -59. Which is the fourth biggest value?  (a) -1\/6  (b) o  (c) -0.3  (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 816 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -343\/519 - 1\/173. Let q = -1299\/4 + 324. Suppose 0 = 2*i + 2 - 4. Which is the nearest to -2?  (a) i  (b) l  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -2. Let p = -3 - u. Let r = -2 - p. Which is the third smallest value?  (a) r  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 20*x - 265. Calculate i(-13).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ptpp when four letters picked without replacement from {p: 4, t: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -7*i + 6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 6:08 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29361 and 9066?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 2186572\nAnswer: -218657.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 h, and 1 j when four letters picked without replacement from vhhovjuohhhhahj?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36360 is divided by 391?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, b: 16}. What is prob of sequence hbb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x**3 - 17*x**3 - 13*x**3.\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3571, -3572, -3573, -3574?\nAnswer: -3575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 61095533 to the power of 1\/2, to the nearest integer?\nAnswer: 7816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 12*w**2 + 14*w - 13. Let i be f(13). Is 2\/33 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53004, 105156, 157308, 209460, 261612, 313764?\nAnswer: 365916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 778 - 862 = 0 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, -6, 61, 1, -3.\nAnswer: -6, -3, -0.05, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*t - 6*t + 0*t - 45*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**2 + 10*f**2 - 3*f**2. Let b(z) = -2*z + 0*z + 5*z - 2*z. Let o(m) = m. Let x(l) = -5*b(l) + 6*o(l). Calculate v(x(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttyigytlgttlgyp. What is prob of picking 1 i, 1 l, 1 t, and 1 p?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 19 = r, -175*a + 166*a = -3*r + 42 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 162053709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4, 2*i + 7 = 3*p + 4*i. Let c be 116\/8*(p - -1). Let o = -24 + c. What is the highest common divisor of 55 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -2\/7  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**3 + 2*i**3 + 5*i**3 - 7*i**3 + 3*i**2 - 3*i**2 + (-i**2 + 2*i**2 + 0*i**2)*(88*i + 514 - 514) in the form x*i**3 + y*i + c + d*i**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-52)\/104)\/((-15)\/(-10)). Let y = 1\/9 - -5\/36. Suppose 9*k - 10*k = -5. Which is the fourth biggest value?  (a) v  (b) 0.4  (c) y  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 89, 1743, 10 in ascending order.\nAnswer: 10, 89, 1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of -5*k**7\/168 - 17*k**6\/120 - k**5\/5 - k**4\/12 + 10*k. Let d(s) = 0. Calculate s.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 168894\/13345 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5*-178.8\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g + 28 + 4 - 32.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (467 - 467 - 10*i)*(38 - 22 + 26).\nAnswer: -420*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -8*i + 3. Let d(n) = 9*n - 2. Let m(f) = -2*b(f) - 3*d(f). Let u(r) = -3*r**2. Calculate m(u(v)).\nAnswer: 33*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 - 49. Which is the nearest to 2\/5?  (a) y  (b) -0.1  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1076095 + 1076116.999934. Let f = -22 + p. Round f to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26683, 52950, 79217, 105484, 131751, 158018?\nAnswer: 184285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + l + 2649 = 2655, -3*j = 3*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a**2 + a**2 - 3*a**2)*(a - 2*a - a) + 2*a**2 - 2*a**2 + 4*a**3 to the form p*a**3 + n + i*a**2 + o*a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -143 = 8*c - 311. Let a(y) = -y**3 + 8*y**2 + 11*y - 11. Let m be a(9). What is the greatest common factor of c and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 168  (b) -1\/4  (c) 0.2  (d) -2\/9  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362 is divided by 63.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3321037 or -3321033?\nAnswer: -3321037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -31 - -38. Calculate the remainder when 45 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 4*a - 6470, 23*u + a - 3899 = 20*u. Calculate the smallest common multiple of u and 22.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the second derivative of j**4\/4 - 5*j**3\/2 + 6*j**2 + 5*j. Factor w(l).\nAnswer: 3*(l - 4)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*(a\/(a**5\/a))\/a*a*(a\/((a*a*a**3\/a*a*a)\/a))\/a*(a\/a**(1\/7))\/a*a\/((a**(2\/27)*a*a)\/a)*a assuming a is positive.\nAnswer: a**(-1175\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 35105?\nAnswer: 1\/35105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -2*j - 4. Let l(v) = 4172*v. What is l(n(s))?\nAnswer: -8344*s - 16688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 54871, 54396, 53921, 53446, 52971, 52496?\n\"Answer: -475*d + 55346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 - 76 = s - 5*m, 0 = -3*s + 3*m - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.4 times 60?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -1331110?\nAnswer: -1331121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/55)\/(159\/(-265)) + 3736\/572 + -7\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 times 0.353?\nAnswer: 12.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6524686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4851972 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 7:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2268, 2189, 2106, 2019, 1928, 1833, 1734?\nAnswer: 1631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from {p: 1, n: 1, r: 1, m: 2, e: 6, c: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17692 is divided by 420.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(6*(sqrt(114)\/sqrt(3)*-4 + sqrt(418)\/sqrt(176)))\/(((sqrt(216)*1)\/sqrt(9))\/((sqrt(84) + -2*sqrt(84))\/sqrt(7))))**2.\nAnswer: 346275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -197 + 225. What is the first derivative of -45*j + 103 - h*j - 57 wrt j?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 49147 and 1700.\nAnswer: 4914700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -177.945 - -178.48. Suppose -2*d - 4*f = 6 + 6, 5*f = 3*d - 15. Which is greater: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64, -183, -356, -577, -840, -1139, -1468?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) 0.32  (c) -3  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23968*g - 15*g**4 - 140*g**3 + 23968*g + 5*g**5.\nAnswer: 5*g**3*(g - 7)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**10\/(j**11\/j))**(33\/4)*(j**(-7)*j*j**9)**(-12) assuming j is positive.\nAnswer: j**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -58*s - 48. What is the tens digit of n(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/(-21) - 2\/(-3). Suppose 2 = -2*p + 12. Solve p*y + x = 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**3 + 0 + 6*u + 2 + 8*u**3 as h*u**2 + r*u**3 + f + q*u and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 6*z**3 - 8*z**2 + 7*z - 9. Suppose 4*o + 30 = 10*o. What are the prime factors of m(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3437911 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*r - 6\/7*r**2 + 2\/7*r**3 + 8\/7.\nAnswer: 2*(r - 2)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 111000001100101?\nAnswer: -111000001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - q. Let v be z(-1). Let y = v + -5. Let r be (y\/3)\/((-4)\/12). Solve -4 = 5*o + r*w - 1, o = 2*w - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1643, 8509, 19951, 35969, 56563?\n\"Answer: 2288*l**2 + 2*l - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1217 + -1177. What is the smallest value in 1\/5, -4\/3, 2, y?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -360  (b) -1.1  (c) 4\/37  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**5 - 15*a**4\/2 - 9*a**3\/2 + 53*a**2\/2 - 9*a\/2 - 9 = 0.\nAnswer: -6, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-63)\/18)\/(-7) + 2\/(-4). Let h(o) be the third derivative of 1\/6*o**4 + n*o - 3*o**2 + 0 + 0*o**3. Let k(j) = 2*j**2. Determine h(k(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9082862 milligrams in grams?\nAnswer: 0.0009082862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14326.\nAnswer: 2, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 + 10*q + 4. Let n be c(-9). Let o be (n\/3)\/(5\/(-15)). Find i, given that -2*i - 3*i**3 + 5*i + 3*i**5 + 2*i**3 - o*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**3*k*k)\/(k*k**(-9\/4)\/k))**(-3) assuming k is positive.\nAnswer: k**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-18)\/r)\/(((r\/(r\/(r*r\/(r*r**(-3\/28)*r))))\/r)\/r))**(-3\/7))**(-22) assuming r is positive.\nAnswer: r**(-15807\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v*y**2 - 2*v*y - 2*v + 72*y**2 - 388*y wrt y?\nAnswer: 4*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/48 and 83\/408?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((j*(j*((j**(-2\/7)\/j)\/j)\/j)\/j)**(10\/13))**(1\/5))**(-1\/5))**(-9\/7) assuming j is positive.\nAnswer: j**(-288\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) 0.03  (b) -0.05  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39\/((-546)\/42))\/(((-2)\/15)\/(4\/(-5))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 125.\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 9:31 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2285179181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*c = -9*c + 108. Sort c, -275, 4, -1 in ascending order.\nAnswer: -275, c, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/(-12)*(-6)\/(-9)*(-1)\/((-12)\/(-36))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - u**2 - u + 80. Let y be f(0). Let k be (-6)\/(-4)*y\/12. Solve j = -4*q + k + 9, 3*j + 7 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -350*s**2. Let j(a) = -4*a**2 - 25*a + 5. Let p(i) = 5*i**2 + 30*i - 6. Let c(o) = -6*j(o) - 5*p(o). Determine c(h(g)).\nAnswer: -122500*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -509 + 626. Calculate the remainder when b is divided by 111.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16841207 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1015, 1016, 1017, 1018?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = a + 3*a. Suppose -33 + a = -l. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l + 2 = -l, -3*i - 2*l + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-23 - -22) + -3 + 1 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 96 = n, -k + 2*n = 4*n + 51. Let d = k - -57. Calculate the remainder when d is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**2 - 29*r + 135. Let u be n(-33). Let a(z) = z**3 - 2*z**2 - 6*z + 2. What is a(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -415 + 411. Let x(j) = -13*j**3 - 9*j**2 + 9*j + 9. Let a(q) = -6*q**3 - 4*q**2 + 4*q + 4. Calculate m*x(p) + 9*a(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 222 > 207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2587\/5 - -523. Factor -s*q - q**3 - 8\/5 - 22\/5*q**2.\nAnswer: -(q + 2)**2*(5*q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 - 533*d - 2651. Calculate p(-5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**2\/4 + 235803*b\/4 + 29520666 = 0. Calculate b.\nAnswer: -78097, -504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 735475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 2*q**2. Let h be i(-1). Let r be (1\/1)\/(h\/(-6)). What are the prime factors of (-4)\/r*3*5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -224 - -114. Let r = -64 - y. Calculate the remainder when r is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08557 rounded to 3 decimal places?\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 4882 = -528. Suppose 0 = -b + 5*d + 303, d = 3*b - 2*b - n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21*g*p - 180*g + 6*p**3 - p**2 wrt p?\nAnswer: -21*g + 18*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -26 - (18\/(-72)*0)\/5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7506 + -277762\/37. Calculate the common denominator of t and -71\/12.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 - -0.01. Let j = w - 1. Let k = j - -1.1. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -285, -287, -289, -291, -293, -295?\n\"Answer: -2*b - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 11*o**4 - 2)*(-4*o + 3*o + 0*o) - 1305*o + 1305*o - 246*o**5.\nAnswer: -257*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 AM and 6:36 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 86 or 84?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -91*z**2 - 24*z**2 + 5 - 20*z**2 - 3 + 241*z - 32*z**2 wrt z.\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15152192821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**4 + 3*x**3 - 3*x**3)*(-3*x + 3*x + x) + x**4 - x**4 + 2*x**5 - 7*x**5 - 13*x**5 + 3*x**5 - 2*x**5 - x**5 + 5*x**5.\nAnswer: -11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.99 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 17123549 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7872487\/5 or -1574498?\nAnswer: -7872487\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010112 - -2000002001?\nAnswer: 1221221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 times 17?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**3 - u + 1. Suppose -16*n + 21*n - 5 = 0. Let c be o(n). Factor 0 + l**c - l + 1\/2*l**4 - 1\/2*l**2.\nAnswer: l*(l - 1)*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwxxtttwwwwtw. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*l - 5*l + 45. Let f = l - 4. Sort f, -5, 1 in decreasing order.\nAnswer: f, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000107776 rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2 - 12\/(-3))\/(3\/(-6)). Let f = m - -85. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7982.693 millilitres?\nAnswer: 7.982693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/11 - 192\/(-33). Suppose 3*d + 12 = 0, u + j = 3*u - 2*d. Let c be u\/(-3 + 56\/20). Sort -7, 1, c.\nAnswer: -7, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 23798.94898 + -23799. Round y to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 244415785?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, n: 2, r: 10, c: 4}. What is prob of picking 1 c and 2 l?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t + 21*t - 3*q = 52, 3*t + 5*q = 39. What is the remainder when 75 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*q - 108*q + 38*q + 43*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 23 - 7 = 4*t, 3*n = t + 9. Differentiate -j**3 + 4 - 2 + n*j**3 with respect to j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 + 29.4. Let w = 26.8 - p. Let t = w - -3.1959. Round t to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28126593 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 60230581?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-21))\/(1\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -7.5. Which is the closest to 1\/3?  (a) -2\/7  (b) t  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/23  (b) 3\/2  (c) -4  (d) 0  (e) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 266 - -133412?\nAnswer: 134011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 884411 is divided by 2640.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 358*n + 40 = 366*n. Solve 3*p - 3*o + 18 = -6*o, 9 = 2*p - n*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5556.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 409104 divided by 27?\nAnswer: 15152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85 and 542706130.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*u = 185 - 645 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*z = -76*z - 1107. Suppose 124*n - z*n - 25 = 0. Solve -4*j = 5*p + n, 5*j = -4*p + 6*p - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 3. Let d be g(4). Let k = d - -4. Suppose 3*c = 3*p - k, 7*p - 3*p - c = 10. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 15*w - 23. What is the lowest common multiple of 21 and x(10)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93069 = -2301*w - 23006 + 33239 for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -12264 rounded to the nearest one hundred?\nAnswer: -12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -1133651.\nAnswer: 340095.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 - 16. Suppose 5*d = -5*r + f, -3*d = r - 0*r - 5. What are the prime factors of d\/(-3) + ((-300)\/(-9) - 0)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 13*n - 1085. Calculate x(83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85385654?\nAnswer: 2, 42692827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398170 is divided by 1021?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 8*u**2 - 53*u - 9. Determine m(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20280 and 147565392?\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -5413*b**2 - 1174*b - 5. Let w(j) = 5411*j**2 + 1120*j + 4. Let v(x) = -3*t(x) - 4*w(x). What is the second derivative of v(q) wrt q?\nAnswer: -10810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 1030*l**3 - 2*l**2 + 12*l - 6880. Let b(o) = o**2 - 6*o - 3. Let y(v) = -2*b(v) - k(v). Find the first derivative of y(r) wrt r.\nAnswer: -3090*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46325\/57750 + (-2)\/15 and -43\/10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d. Let a be x(-3). Suppose 209889*s - 10 + 32 = 209867*s. Put 0, a, s in descending order.\nAnswer: a, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 60.27582 years?\nAnswer: 723.30984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - v + 1. Let c(l) = -139*l**3 + 62*l - 1. Suppose 8 - 1 = 7*z. Let a(f) = z*w(f) + c(f). Find the second derivative of a(y) wrt y.\nAnswer: -840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2670132 to the power of 1\/2, to the nearest integer?\nAnswer: 1634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.0543 + -214.3543. Let z = t - -214. What is the nearest to -0.1 in z, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-150)\/(-100)*(-10)\/(-5)*(-14)\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53985100, -53985103, -53985106, -53985109, -53985112, -53985115?\nAnswer: -53985118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 6. Suppose y = -z - z + 56. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*m - 3*m + m + (4 - 3 + 1)*(3 + 0 - 2)*(2*m - 193*m - 511*m).\nAnswer: -1398*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**2 + 23*j + 23. Let l be i(-22). Let k be (-2)\/9 + 1880\/36. Let x = k + -52. Solve x + l = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**2 - 16*c - 38. Let v be f(-12). Suppose -v*s + 11*s = 165. List the prime factors of s.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-5)*-14*-15. Suppose w = -0*t + 3*t. Let x(o) = -o**3 - 7*o**2 - 6*o + 8. What is the smallest common multiple of x(-6) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 22238080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -449165, -1796626, -4042395, -7186472, -11228857, -16169550, -22008551?\nAnswer: -28745860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 6:07 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -34936 divided by -4?\nAnswer: 8734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrlraarrajurjlj. What is prob of picking 1 r, 1 a, and 1 j?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5488 - 5431. Which is smaller: m or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*m + 168 = 49*m. Suppose m*d - 1341 = 1291. What is the least common multiple of d and 10?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from guusugtugum. Give prob of picking 1 g and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) -0.036  (b) 1  (c) 4  (d) 0.3  (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-14)\/6 + 1)*315\/(-30). Suppose f*d - 6*d + 448 = 0. Let q = -36 - d. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*v - 10 = 7*v, -2*v + 3*v - 203 = -12*w - 0*v + 6*v for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.063  (b) -5613\/4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29925390 divided by 118.\nAnswer: 253605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31818 + 31813.1993. Let c = -4.8 - g. Round c to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-10))\/(144\/1080)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 204*q**2 + 5*q + 6. Let v(t) = -4081*t**2 - 98*t - 119. Calculate -119*m(a) - 6*v(a).\nAnswer: 210*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 33*w**4 - 139*w**3 - 747*w**2 + 139*w + 714 = 0. Calculate w.\nAnswer: -3, -1, 1, 238\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -94, -202, -344, -514, -706, -914?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/(r\/r**(-20))))\/(r*r**10))**(-26) assuming r is positive.\nAnswer: r**(-286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.2 and 134.314457?\nAnswer: 133.114457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -2*y**3 - 4*y**2 - y. Let h be 0 - (-2 - (5 - 4)). Let u(f) = 2*f**h - 41*f + 42*f - f**3. What is -a(l) - 3*u(l)?\nAnswer: -l**3 + 4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/9, -9, -722?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 88\/(-16)*(-18)\/264. Let m(o) be the third derivative of 0*o - 3\/40*o**6 - 11*o**2 + o**3 + 0 - 1\/70*o**7 - 1\/20*o**5 + y*o**4. Factor m(f).\nAnswer: -3*(f - 1)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -l - 2*h - 2, -3*l + 3*h - 6 = 0. Put 2, 1, l in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 10*t**2 - 24*t + 5. Let f be a(-5). Suppose 5*v - 4*x - 1426 = f, -6 = -v + 3*x + 288. Let o = v + -50. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2 - 12 = 0. Calculate the greatest common divisor of n and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - (0 - 1 - -1). Suppose 3*y = -m - g*m + 20, -5*y = m - 12. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -3 - r**3 + 2*r**3 + 3*r**2 + 2 + 3. Let v be p(-3). Suppose a + v*d - 28 = -2*a, -3*a + 33 = -3*d. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (a + 2 + 2*a - 5*a)*(-4 + 10 + 10) to s*a + h and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 34 + 31. Solve 5*g - f = -2*a + 7, a + 3*g - 5 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -103077*f**4 + 2611*f**2 - f + 12 wrt f?\nAnswer: -2473848*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 418 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 156 - 155.9. Put 35, -0.1, f, -2 in decreasing order.\nAnswer: 35, f, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 134.6 or -69?\nAnswer: 134.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34\/442 - (-45252)\/13.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 122*(-28)\/992348*-1*7.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 104*n**2 - 1324*n - 400. Calculate m(89).\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 8 = 8. Let b be (1 + -6*1)\/(-1). What is the third derivative of -u**2 - 6*u**4 + u**6 + u**m + b*u**4 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - v - 0*v - 858, 4*v = 8. Suppose h = 3*n + g, 4*g + 7 = 4*n - 233. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 4)*(-3*i + 0*i + 6*i) + 8*i - 65*i - 49*i - i + 5*i - 2*i)*(2 + 2*i - 2).\nAnswer: -214*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -853 + 1640. Suppose -2*d = -d - x. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 83\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 2\/5, -0.3, -0.1 in ascending order.\nAnswer: -0.3, -0.1, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24.6 + 3.\nAnswer: 27.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-0.55.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2 + (274\/66 - 7) and -58\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**3 - 3*h**3 + 0*h**3 + 4*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -17 > -17\/176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21223, 42445, 63667, 84889?\n\"Answer: 21222*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*m - 95*m + 293*m - 45*m - 44*m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-185)\/(-4)*156\/2730 - 0 and -1\/690?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 990573498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*o - o - 2*o + 14*o - 6*o - 39*o + (2*o - o - 2*o)*(2 + 1 - 1).\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/620 and 55\/18228.\nAnswer: 91140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 845*m = 999*m - 4928 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000325976 rounded to 6 decimal places?\nAnswer: -0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = o + 5*v, -3*o = -4*o - v + 10. What are the prime factors of 64\/o + (-8)\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -4427*x**2. Let b(j) = -298*j**2. Give b(l(t)).\nAnswer: -5840302042*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4 + 4*q**3 + 2*q**2 - 4*q - 3.\nAnswer: (q - 1)*(q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 - 13. Let n(o) = 7*o + 4. Let z be n(f). Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**2 - 13*f + 13. Suppose -12*c = -17*c - 55. What is the units digit of q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g**2 - 4*g - 4. Let h be k(4). Suppose 9*o - 12*o = -h. Calculate the remainder when 10 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8b (base 12) to base 5.\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -1845311*n**2. Let p(s) = 60*s. Give p(v(g)).\nAnswer: -110718660*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/3)\/((-4)\/318) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 5, -4 in descending order.\nAnswer: 5, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/7)\/l)**(2\/5)\/((l*l**(-5)\/l)\/l*l\/(l*l**(-5)\/l*l))*(l**(2\/21)\/(l*l\/l**3))**(16\/9) assuming l is positive.\nAnswer: l**(503\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19770 and 1304820.\nAnswer: 1304820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of 8*z**3 + 0 - 72*z - 12\/5*z**5 + 0*z**2 - 1\/3*z**4 + 2\/15*z**6. Factor i(o).\nAnswer: 4*o*(o - 12)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1430093*k + 1 - 1428357*k - 1.\nAnswer: 1736*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 386400 and 16100?\nAnswer: 386400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2197, -3694, -6189, -9682, -14173, -19662, -26149?\n\"Answer: -499*x**2 - 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 9*v**2 + 2*v - 5. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/4)\/(2\/12). Let q(l) = -l**2 + 8*l - 8. Let z be q(7). Let o be (z - (-2 + -1))\/2. Solve 2*p - o = -f for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(1\/3)\/d*d)**(6\/11))**(1\/19) assuming d is positive.\nAnswer: d**(14\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 379 and 2653?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -2 - (-13 - -5)) + (953 - 916)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide (54 + 1)*(-25)\/((-875)\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 - 1)*(58*n - 63*n - 35*n) to the form t + w*n and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 13. Let x be c(12). Let d be (x\/(-3))\/(8\/144). Let r(i) = -4*i**2 - 4*i - 19. Let f(y) = -2*y**2 - 2*y - 9. What is d*r(v) + 13*f(v)?\nAnswer: -2*v**2 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -818*c**3 - 293*c**3 - 53*c**3.\nAnswer: -1164*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1452637499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 586 + -896. Put n, -3\/4, 2 in descending order.\nAnswer: 2, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -142*((-9)\/(-6) + -2). Suppose c = v + 16. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of 1 + 0*v**2 - 10*v + 1\/6*v**3. Calculate w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 + -8 + 2)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 57 or 31020640?\nAnswer: 31020640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -456620184 by -2094588.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -49 + (7 - 5) - 3 - 11\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 4, 1.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5193*q**3 - 5195*q**3 + q - q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1645, 1982, 2327, 2680, 3041, 3410?\nAnswer: 3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -2957813.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -8 in increasing order.\nAnswer: -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 43699675 divided by -5?\nAnswer: -8739935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 80 = 2*o. Suppose 17 = 2*g - h, 3*h = 4*g + 5*h - 46. Let n = o - g. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 0.087\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4885, -4883, -4881?\n\"Answer: 2*w - 4887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**8\/560 - h**5\/40 + 2*h**3\/3 - h. Let m(q) be the second derivative of d(q). What is the second derivative of m(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 4  (b) -0.63  (c) 2  (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Do 20495603 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (10 - 10)*4\/80*-5. Let c(v) be the third derivative of y + 1\/12*v**5 + 0*v + 0*v**3 + 2*v**2 + 5\/12*v**4. What is the second derivative of c(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + x = 21, 2*x + 2*x = -4*z + 20. Suppose -4*g - 9 = -3*j + 17, -z*j - 3*g = 7. Factor -9\/2*b**j - 2*b**4 - 11\/2*b**3 + 1\/2 - 1\/2*b.\nAnswer: -(b + 1)**3*(4*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 8*s**2. Let p(z) = 46*z**2 - 2*z - 1147. Give -p(d) + 6*u(d).\nAnswer: 2*d**2 + 2*d + 1147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 2:24 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 1, h: 2, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19133\/9 + 2122. Calculate the common denominator of ((-2)\/(-36))\/(-15 - 5886\/(-396)) and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(-21)*(-32)\/(-40)*(-18)\/168?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34354 + -19371. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1374 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1693 + 652. Let g = w + 1790. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**2 + 21*c + 37. Let n be f(-8). Suppose 3*w = 2*x + w - 6, 0 = -2*x + 4*w + 2. Sort 8, 4, x, n.\nAnswer: n, 4, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (200\/12)\/(4\/(-267)). Let w = -1088 - o. Let l = -23 + w. Sort 1, -3, l in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8959 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**3 + 6*o**2 + 9*o - 12. Let i(l) = -6*l**3 + 12*l**2 + 19*l - 25. Let a(x) = -13*b(x) + 6*i(x). Suppose a(q) = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -3*a**3 - 7*a**2 + 10. Let b(r) = -r + 8. Let o be b(6). Let z(g) = 4*g - 2*g**o - 3*g - g**3 - g + 3. Let m = -1 - -3. Calculate m*q(h) - 7*z(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -430*r**2 - 53*r + 16. Let c(q) = 287*q**2 + 35*q - 11. Let l(x) = -7*c(x) - 5*y(x). Is l(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 8, b: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 + -2 - -1 - -1. Suppose -2*s + s + 4*l = -140, 675 = p*s + 5*l. Suppose 0 = 4*w - 2*w - s. Calculate the remainder when w is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -524*b**3 + 5 + 8*b - 1 + 522*b**3 to t*b + n + x*b**2 + l*b**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 99.287 - 0.287. Let x = -99.4 + r. Which is the closest to 20?  (a) 4  (b) -1\/3  (c) x  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -592*g*p**4 + 30*g*p**3 - 183*g*p**2 + 525679*g*p - 1175*p**4 wrt p.\nAnswer: -14208*g*p + 180*g - 28200*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v. Let o(u) be the third derivative of 37*u**6\/24 - 29*u**3\/6 + 173*u**2. Let w(h) be the first derivative of o(h). Give j(w(k)).\nAnswer: 555*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -19\/6*b**3 + 0 + 17\/12*b**4 + 8*b**2 + 0*b. Is f(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, l: 7, o: 11}. What is prob of picking 4 l?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 987784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -8. Let h(o) = f*o + 6 - 2*o + 0*o - 2. Let l be h(-5). Solve l = 4*w - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2917.42179 to 1 decimal place.\nAnswer: 2917.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hwvf when four letters picked without replacement from wwvwfhffvhhwwww.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 8*j - 2 + 2. Let v(g) = 23 + 1 - 60 - 5*g + 36. Give v(y(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 922.888ug to grams.\nAnswer: 0.000922888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxcc when four letters picked without replacement from xxxccccxcxcc?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 60. Let d(h) = h + 53. Let j(r) = 6*d(r) - 5*w(r). Calculate j(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.0216, -7, 2, -49, 0.3?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4789 equal to 62248\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12474633 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xyxlryyjxlxxjix. Give prob of sequence jyll.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**2\/2 + 11*m - 7. Let f be v(6). Suppose -q = f*z - 281, 0 = -2*q - 7*z + 3*z + 586. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, z: 2, y: 3, r: 1, q: 2, f: 3}. Give prob of picking 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 7 + 1 + 1 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 20*d - 85. Give q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.83 take away -0.18219?\nAnswer: -0.64781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -82792 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b**2 - 16*b + 3. Let n(v) = 6*v**2 - 17*v + 4. Let r(q) = 3*n(q) - 4*x(q). Find the second derivative of r(i) wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 12:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-185*o + 185*o - 10 - 4*o**3)*(4*o**2 + o**2 - 3*o**2).\nAnswer: -8*o**5 - 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5203632 and 226729680.\nAnswer: 1587107760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qinnuinno. Give prob of picking 1 n, 1 o, and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express v**4 + 3338 - 3340 - 2*v + 2*v**3 + 7*v + 9*v**4 as h*v + d + n*v**3 + y*v**4 + x*v**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1935377020?\nAnswer: 2, 5, 1013, 95527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(-2)\/(-1 - -3). Let o be b + 0 + 0 - -142. Let z = o - 53. What is z rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -300 + 437. Let s = 2459.953734 + -2322.9537281. Let q = o - s. What is q rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - d + 15. Let g be v(-5). Let o be (14\/(-56))\/(9\/(-972)). What is the greatest common factor of g and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1242 divided by -27\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -225, -0.14, 1 in ascending order.\nAnswer: -225, -0.14, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-296)\/962 - (-62)\/(-2418))*9\/38.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16\/(-184) + 67\/(-23). Let n = 0 + 0.01. What is the biggest value in n, -1, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -557 (base 8) to base 3\nAnswer: -111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j + 1. Let p(n) = -n**3 + 3*n**2 - n. Let o = 11 - 11. Suppose o = b + m - 0*m - 3, -3*b + 5*m + 9 = 0. Let d be p(b). Give l(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (27\/(-6))\/(-9)*-12. Which is the second smallest value?  (a) p  (b) 2\/19  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 495 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3495 + 3543. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 5*x - 20. Let v be j(4). Suppose -2*t = -4*u - 12, -4*t - 1 = 5*u + 1. Solve -1 = -5*f + 4*c - v, 5*c + 26 = -t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 197b - 2940?\nAnswer: -c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 554215 (base 8) to base 15.\nAnswer: 3a3de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09545, 1836, -0.2 in decreasing order.\nAnswer: 1836, -0.09545, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1025\/7125 + 3\/45.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 9*b**2 + 11*b - 12. Let a be t(10). Let o = 74 + -69. What is the third smallest value in o, -3, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -51*i**2 + 25*i**2 - 14*i - 6*i**2 + 31*i**2 - 32. Give l(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(63) + (sqrt(126)\/sqrt(2))**2 + (sqrt(700)*-2*-3)**2.\nAnswer: 3*sqrt(7) + 25264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1467057052 to the power of 1\/2, to the nearest integer?\nAnswer: 38302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 85901564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 81\/2  (b) 530  (c) 2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zcccrcszzzczczc. Give prob of sequence crsc.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81184?\nAnswer: 2, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/25, 0, 4, -2\/11463?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18972 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + 12. Let v = -48 + 40. Calculate the remainder when s is divided by (-4)\/(v\/6) - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -33189*j**2*n**3*q**3 + 7*j*n**2*q**3 + 2*j*n**2 - 8*n**3*q**3 wrt j.\nAnswer: -66378*n**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1, 2287, 18, -5, 0 in ascending order.\nAnswer: -5, -1, 0, 6, 18, 2287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3030 (base 7) in base 2?\nAnswer: -10000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a**2 - 222 - a**2 - 218 - 212 + 90 + 562.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {n: 3, i: 1, h: 2, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51241, 102614, 153987, 205360, 256733?\nAnswer: 308106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4959 less than 0.1?\nAnswer: -4958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 237*y - 6395. Let j be d(27). Solve -v - 10*o = -7*o + 11, o = -j*v - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 3*g + 13 = 0, -3*g = -3*s + 39 - 57. Let i(r) = 8*r - 8. Let q(y) = 9*y - 9. Calculate s*q(o) + 6*i(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 o, and 1 j when three letters picked without replacement from {t: 6, j: 3, o: 1, l: 1, f: 6, y: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (14*g**3 + 7*g**3 + 2*g**3)*(-7*g + 3*g + g) - 3*g**4 + 2*g**4 + 4*g**4 to l + z*g**3 + s*g + d*g**2 + f*g**4 and give f.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 2121 divide 322958307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-3\/7)*t)\/t)\/t*t*t**(2\/9)*((t*t**(-4\/3))\/t)\/t**(-1\/6)*(t\/((t**0*t*t)\/t))**(-41)\/(t**1)**(-15) assuming t is positive.\nAnswer: t**(1717\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 499780729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/(sqrt(11)*-2))\/(-1*sqrt(10)*2).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 + -38. What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/18 + 46\/60. Let h be (-1)\/(-3)*(4 + -1). Sort h, q, 2.\nAnswer: q, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 268 and 32.\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -13*b**3 - 4*b**2 - 2*b + 4. Let u(n) = -20*n**3 - 6*n**2 - 3*n + 6. Calculate -8*m(h) + 5*u(h).\nAnswer: 4*h**3 + 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 0  (c) 3  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 23354*d + 934164. Give q(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -9726095.\nAnswer: -13\/9726095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -8*n + 10*n - 16, 4*n = 5*h + 39. Let g be (2\/h)\/((-32)\/336). Solve 3*c + 2*t + g = 9, 10 = 5*c - 4*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3840\/20)\/(-12) - -818109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-40280)\/(-92644))\/(4\/(-506))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11, 24, 37, 50, 63, 76?\n\"Answer: 13*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-1))\/u**(-3\/5))\/(u**(-3\/4)*u**5))\/(((u**(-5)\/u)\/u*u**(-5\/2))\/(u\/u**(-1\/3))**(2\/25)) assuming u is positive.\nAnswer: u**(2387\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-1264)\/(-64) + -20 - 7\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**3)**(-1\/26)*(t*t\/(((t**(3\/7)*t)\/t)\/t))\/(t**20\/t) assuming t is positive.\nAnswer: t**(-1509\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.98 - -4.38. Let r = 1.05 + -1. Let x = r - 0.55. What is the nearest to -1 in x, c, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-30 - -2)*(-14 - -18). What is the nearest to -1 in 2\/7, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6.1 + -6. Let w = 21283 + -21278. Let a = 2\/105 - -311\/210. Put -6, w, a, k in increasing order.\nAnswer: -6, k, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: a891c7 (base 14) to base 3\nAnswer: 101202010112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 9:09 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6050 and 150040.\nAnswer: 750200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -59587.5 and -1.\nAnswer: 59587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -29*p**2 + 3*p + 3. Let h(c) = -10*c**2 + c + 1. Give -3*f(a) + 8*h(a).\nAnswer: 7*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -67 + 66.5. Sort 1, -2\/13, g, 4 in ascending order.\nAnswer: g, -2\/13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8786 divided by 816\nAnswer: 4393\/408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*q**4*u**2 + 44*q**4 + 329*u**2 wrt q?\nAnswer: 8*q**3*u**2 + 176*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 10:22 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (13\/(-117)*28)\/((-6)\/(-27))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -717\/278, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-651)\/93)\/((-133)\/(-703)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/4*(-1440 - 6). Let l = -353 - n. Find the common denominator of l and -107\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25158648037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50 + 90. Suppose 0*m = 4*m - a. Let q be 5\/(-10)*8\/m. What is the closest to -1 in -3, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 225\/7 + -1019\/28. Find the common denominator of w and 1230\/20*(-1)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d**2 + 9528099*d - 9528099*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -4*d, -2*d - 16 = -0*t + 2*t. Let i = 7 - d. Suppose -4*y + 10*u - 5*u + 2 = 0, 5*y - i = 2*u. What is the remainder when 9 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 6:40 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, l: 11}. What is prob of picking 2 l?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.83314 to 3 dps.\nAnswer: -0.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 6*i + 15 = i, -6 = -5*g + 2*i. Suppose 2*a - 18 = -4*l, 3*a + g*l - 62 = l. Let d = 0 - -3. Solve -d*j = -h, 2*j + 5*h + a = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j - 124*m + 126*m = -71, j - 5*m = -8*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7866722 is divided by 357578.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257107282 to the power of 1\/2, to the nearest integer?\nAnswer: 35456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 128*b = -122*b - 48, 2*t - 2*b = -18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -d + 1. Let t(p) = p. Suppose 216 = 4*h + 4*h. Let w(f) = f - 46 - 2*f + 19 + h. Determine d*t(k) - 6*w(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -227*b - 32201 - 122212 = -3402*b - 2544*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) + (-2*sqrt(95) - sqrt(95))))*-1 + sqrt(95) - (1*(sqrt(95) + sqrt(95)*2) + sqrt(95)))\/((sqrt(180)*6)\/sqrt(9)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4))**(-4\/25)*(p*p\/p**(6\/5))**40 assuming p is positive.\nAnswer: p**(816\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*h + 3*r = 65*h + 17, -9 = -3*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 1 + -12 - (3 + -11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -116, -59, 6, 85, 184, 309, 466, 661?\n\"Answer: t**3 - 2*t**2 + 56*t - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -556, -2279, -5148, -9163, -14324, -20631, -28084?\n\"Answer: -573*d**2 - 4*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 5*h - h**2 - h**2 + 3*h**2 - 9. Let s be u(-7). Factor -58*i + 54*i + s*i**3 - i**3.\nAnswer: 4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 179041 = -15*r + 463231. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 100 - 5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14014 (base 9) in base 13?\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 7:52 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-12))\/(2460\/57564)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = 2*n - 56 + 64, z - 2 = -2*n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24183 - 24071. Calculate the greatest common divisor of a and 6016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.5, -224.871, -4 in decreasing order.\nAnswer: 0.5, -0.1, -4, -224.871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -171 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 51 in 0.2, 0, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f**2*r**3 + 746*f**2*r + 327641*f*r**3 - 1315*f*r + r**3 - 8*r**2 wrt r.\nAnswer: -24*f**2 + 1965846*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 9. Let a be (-2)\/4*r\/36. Is a equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x + 50830 = 12*x - 9*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 11:45 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71902, 71880, 71858, 71836, 71814?\nAnswer: 71792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (-5 + -18 + 59)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 at least as big as 2242\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2 + 9*g - 9. Let f be 880\/(-143) - 2\/(-13). What is d(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14194 - -70301. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t. Let p(x) = 1533*x**2. What is s(p(f))?\nAnswer: -1533*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, -346, -942, -1776?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 15 = -0*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven quarters of a minute?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ra when two letters picked without replacement from {y: 1, a: 5, r: 1, o: 5, g: 4}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9927785 and 1330.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 6*u**3 + 1250*u**2 - 8598*u + 440. Calculate t(-215).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(-85)\/(-100) - (-3)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/7 of a week in hours?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:58 PM and 5:54 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -20 + 37 + (0 - 27).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of 2\/3*y**2 - 5\/6*y**4 + 0*y - 2\/3*y**3 - 5. Find m, given that i(m) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 309, 2636, 8987, 21378, 41825?\n\"Answer: 336*w**3 - 4*w**2 - 13*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from zozozozzzo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 50191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 872 + 92*t**2 + 99*t**2 - 872.\nAnswer: 191*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 12 = 7*w - 3*w, -w + 4 = 3*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 19 - 76. What is the remainder when f is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1080*s + 2041 = 923*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 354*p**3 + 2*p**2 - 2*p + 1. Is d(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57160675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (15\/6)\/(-1)*-4. Suppose -12*a = -14*a + z. Solve 7*x = a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 32 = -3*r - 11, -r + 5*h - 9 = 0. Suppose -7*o + r*o - 16 = 0. Solve -o*n = 5 + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*k**5 + 1395*k**2?\nAnswer: -2100*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, c: 10}. Give prob of picking 1 g and 1 c.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -169*h**4\/6 - h**2 - 899*h - 2. Let k(u) = -2*u. Determine s(k(p)).\nAnswer: 1352*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 1098569249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (3 - 7 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 161*d**2*i**3 - 2*d**2 + 566*d*i**2 wrt i?\nAnswer: 966*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 8*v**2 - 5*v - 21. What is the remainder when z(5) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 + 5. Let r = s - -13. Sort 0.2, -5, r in descending order.\nAnswer: 0.2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379774.\nAnswer: 2, 189887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1566714 * -2\nAnswer: -3133428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - v - 2*g - 16 = 0, 2*v + g = 0. Suppose -253*x + 254*x - v = 0. Solve 5*l + 0*s + 15 = -s, -5*l = x*s + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 6188*i - 811239. Calculate v(134).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14*(-2)\/8*-2. Let v(m) = -3*m**2 + 4*m + 2. Let b(h) = 244 + 246 + 6*h + 11*h - 4*h - 483 - 10*h**2. Give u*v(l) - 2*b(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n - n + 2*n)*(1 - 4 + 2) - 4*n - 2*n + 2*n + (0*n - n - n)*(-2 + 1 + 0) + (0 + 4*n + 0)*(0 - 3 + 2).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 329.1 - -2409.9. Let f = z - 2740.287. Round f to 2 decimal places.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.7 - -16.7. Let f = 13.9999993 - q. Round f to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of -5*r**3\/3 - 580*r**2 - 67280*r - 376. Factor c(t).\nAnswer: -5*(t + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (5 - 52) - (121 + -88)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -47, -158, -337, -578, -875, -1222, -1613, -2042?\n\"Answer: t**3 - 40*t**2 + 2*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, c: 3}. Give prob of sequence pc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 5*b + 8 + 2, 4*s - 3*b = -6. Suppose s = n + 4*n - 705. Calculate the remainder when n is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 0*j - 7*j + 37 = -15, 7*l + 10*l + 108 = -7*j for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -106 - (-25 - -64 - (6 - -27))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -83 - -77. Let n(t) = -4*t - 4. Let r(c) = c + 2. Let y(w) = p*r(w) - 3*n(w). Let i(u) = 8*u**2. What is y(i(k))?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 5*b**2 + 5*b - 5. Let x be h(-5). Let v = 72 - x. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 1\/190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -84 + 96. Suppose 0 = -14*c + j + 30. Solve 0 = 7*n - c*n - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18) + 1*sqrt(450) + sqrt(18) - sqrt(18) - sqrt(18))\/(sqrt(150)*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 335843844 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.18 - -21.18. Which is the closest to 2?  (a) k  (b) -0.2  (c) -5  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -129.93633 - 0.06367. Let h = 0.307 - 135.307. Let c = h - f. What is the closest to 1 in c, 1\/4, 0.02?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, -4, 0.033, 0, -4\/5?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -87125651*d**3*j**3*w + 16*d**3*j**2 - d**3*w - 22861*d**3 + d**2*j*w - 2*d*j**2 + 2*d*j wrt j.\nAnswer: -522753906*d**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (7458\/108)\/11 + -5 and ((-7)\/(441\/35))\/((-2)\/(-60)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -31.8 from 7085.\nAnswer: 7116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 298988620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.470099 rounded to two dps?\nAnswer: 8.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23519*s + 438339 + 360679 = -423970 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 304280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*f + 2880 = -16*f - 8560. Calculate the smallest common multiple of 16 and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -2 - (116 - 114).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**3 - 1689387 + 318096*x + 1692*x**2 - 1336275 + 14234051 + 8725627.\nAnswer: 3*(x + 188)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*x**5 - x - 1 wrt x.\nAnswer: 500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*j - 2*y - 10 = 51*j, -y - 8 = -3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24 - -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y - 4. Let n be m(5). Suppose n + 2 = -w. What are the prime factors of (4\/w)\/(1\/(-60))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -688891, -1377778, -2066669, -2755564, -3444463, -4133366?\nAnswer: -4822273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1122\/1309 - 9520\/245\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -192314 + -217.\nAnswer: -192531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 81398, 81292, 81202, 81134, 81094, 81088, 81122?\nAnswer: 81202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 48 + 52. Which is greater: 2\/173 or h?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 7 = -g. Solve -3*k = 5*r - 5, -2*r - 2 = 4*k - g*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:12 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*f - 945, 0*p - 3*f = 3*p + 708. Let w = p + 523. Suppose -5*c + w = -89. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*b = 18*b - 188*b + 512 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -2. Suppose -4*x = -i*x. What is o in x - 2\/3*o**2 - 2\/3*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -870 divided by 30\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 7) to base 3.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19723 divided by -19723?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21920463 and 24786.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 1. Suppose -35 = 5*k + 5*z, -4*k + z = -4 + 32. Let x = -5 - k. What is the remainder when q is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4224, 3576, 2476, 924?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*t**2 - 13*t**2 + 3*t**2 + 13*t**4 + (-4*t**4 + 3*t**4 - t**4)*(3 - 2 - 2) + t + t**4 - t as k*t + x*t**4 + j + q*t**2 + b*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -3*((-1)\/(-9) - (-1 - 0)). Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1\/(2\/5154) + (24 - 20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.38 - -0.12. Let c(q) = q - 1. Let x be c(6). Suppose 0*s - 4*t = s - 8, x*t = 10. What is the closest to s in w, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 5*q = 13, 5*i - 3*q + 381 - 388 = 0. Solve -72*b + i*b + 280 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) 1\/3  (c) 2  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*l + 89*l + u + 126117 = 0, 0 = -5*l + 4*u + 126138. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1212324 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6423770 to the power of 1\/2, to the nearest integer?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 6*v**2 - 7*v + 2. Let x be k(5). Let z = 256 + x. Suppose -2*w - z = -3*u, -3*u + 172 = -w - 23. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 3016152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-440)\/11 - ((-50704)\/780 + 25)?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 - u + (-1 + 0 + 3)*(2 - 2 + 2*u) + 246 - 125 - 1062*u - 121 as z + n*u and give n.\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -299 (base 11) to base 3\nAnswer: -110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-10)*(4 + 4). Which is the nearest to 0?  (a) w  (b) -0.5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/(-14))\/(5\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2377 + 26781. Is 61 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - 13020211132?\nAnswer: -13020211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 - 71 - 5 - (-153 - (3 - -1))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(160) + (sqrt(160) - -2*sqrt(160)))*-4*-1)\/(sqrt(45)*6*-1*6).\nAnswer: -16*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/14)\/(u\/(u*u*u**12*u)*u))\/(u\/((u\/u**(1\/6))\/u))**17)**25 assuming u is positive.\nAnswer: u**(-3625\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 18*t**2 + 8550*t + 33974. What is u(-471)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-2) + 231\/66?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.64 and 1.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/396 and -127\/1143648.\nAnswer: 1143648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -l - 104748, 3*h - 378056 = -2*l - 63827. Let p = h - 172472. Let n = -18727 - p. What is n rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -5*a + 6. Let l be -5*(-8)\/30 + (-3)\/9. Sort l, 0, 4, a in descending order.\nAnswer: 4, a, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 23*c + 5. Let w(f) = -333*f - 72. Suppose -3*p = -255 + 39. Let q(v) = p*a(v) + 5*w(v). What is the lowest common multiple of 9 and q(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x = -3*l - 2*l + 24, 25 = 6*x + 58 - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.09  (b) 12387  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - 0) + (-99 - -114 - (0 - 28))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6444 a factor of 2149794685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, c: 2, s: 7}. Give prob of picking 1 c and 1 p.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**3\/13 + 60*y**2\/13 - 126*y\/13 + 64\/13 = 0. What is y?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((2 - (1 - 3)) + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b*r*v**3*z**3 + 4*b*r*v**2*z**3 - b*v**2 - 10*r*v**3*z**3 - 2*r*v**2*z**3 + 3*r*z**2 wrt v?\nAnswer: 18*b*r*z**3 - 60*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 8*i**2 + 2*i**3 + 79*i - 166*i + 87*i to o*i**3 + b*i + y + t*i**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 18, -0.0315, 4, 3, 1, 0.5?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 + 1)*(15*z**2 + 3 - 5 - 19*z**2 + 4*z**5).\nAnswer: 20*z**5 - 20*z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 133, 128, 121, 112, 101, 88, 73?\n\"Answer: -u**2 - 2*u + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = 4*z + 28. Let x be z\/((-3)\/1) + -3. Let f(j) = -2*j + 26. Let i be f(0). Solve 4*m + x*u - i = 0, 0*u + 6 = m + u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 192586.1t in milligrams?\nAnswer: 192586100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*j = -6, 7*l + 31 = 4*l + 2*j. Let p be (378\/(-77) - -5) + 1\/l. Solve -3*n + 0 = -p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 599124036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 28*c**3 - 52*c - 8. Let h(d) = 9*d**3 - 17*d - 3. Let o(u) = -16*h(u) + 5*j(u). Factor o(l).\nAnswer: -4*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -10, -0.5, 14.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -141 - 175*w**2 + 141 to c*w**2 + r + d*w and give c.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123 (base 5) to base 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 10 = 4*c + 5*o, -2*c + 11 = -3*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 2914890\nAnswer: -2914887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v - v**3 - 4 - 11*v**2 - 5*v + 4*v**2. Suppose -3*p + 4 = 25. Let n be d(p). What is the greatest common factor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1705 = -54*s + 242 + 51 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - m + 20 = 4*g, m - 2*g = 14. What are the prime factors of (m\/4)\/(-9)*(-1 - 260)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + (5 - 3) - 264)*-40. Solve 9*a + 10222 = s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 11*a**2 + 27*a + 16. Let b be i(-13). Suppose -3*w - w + 3*p = -181, -p = b*w - 152. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-14)\/(-21))\/(4\/(-66)). Let j(n) be the second derivative of -n**3\/6 - 9*n**2\/2 - n. Let i be j(c). Solve -i*b = -3*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(-j**4 + 2*j**5 + j**4) + 2*j**5 + j**2 - j**2 + 0*j - 2*j**5 + 0*j.\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (6 + -1 + (17 - 20)) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 12:56 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 32793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 167526700169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37.3 + -39. Let n = -2 - i. Let p be (9\/(-3))\/((-30)\/(-4)). Which is the closest to -0.1?  (a) n  (b) -0.2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and -223739.\nAnswer: -223738.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -561 - -807. Let n = -164 + k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ubuuuubbwbbubwbbb. Give prob of picking 2 u and 1 w.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36 - -10. Calculate the remainder when v is divided by ((-39)\/2)\/(27\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) -17.9  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 12802, 25553, 38306, 51061, 63818, 76577, 89338?\n\"Answer: q**2 + 12748*q + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) 5  (c) -19\/6  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143*l*r**2*u - 4*l + 10*r*u wrt r?\nAnswer: -286*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 - 10 = 3*j. Let m = 20 + j. Suppose -m*c = 5 - 47. Calculate the greatest common divisor of 126 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 376 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-6))\/(253\/(-552))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -i**3 + 1. Let l(g) be the first derivative of 31*g**3 - 225550. Determine l(b(c)).\nAnswer: 837*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010001001 - 10100111010001111?\nAnswer: -10101000100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9106 + -5681. What is the highest common divisor of k and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125*f + 124*f - 484*f + 131*f + 119*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 49*s**4\/12 - 8*s**2 - 23*s - 1. Let f(v) = -1 + 1 + 6*v - 2*v. Give c(f(g)).\nAnswer: 392*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2882 - 11529\/4. Sort q, 3, -22, 0 in increasing order.\nAnswer: -22, q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*y**4 + 41*y - 26*y + 14 - 158 wrt y.\nAnswer: -60*y**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10969 + 131741\/12. Find the common denominator of -1\/10 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 22009, 21950, 21891?\n\"Answer: -59*o + 22068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 2:55 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -3\/250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 10:44 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 7*y - 2. Suppose a - 7*a = 0. Let h(z) be the second derivative of z**2 - 4\/3*z**3 + z + a. Calculate 5*h(p) + 6*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17510, 34992, 52454, 69902, 87342, 104780?\n\"Answer: h**3 - 16*h**2 + 17523*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/9*-2 - (-126)\/54. Factor 30 - 2*f - 269*f**p + 23*f - 12*f**2 + 137*f**3 + 129*f**3.\nAnswer: -3*(f - 2)*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - t. Let x(n) = -10*n**3 + 11*n**2 + 26*n - 14. Let m(k) = -3*k**3 + 4*k**2 + 9*k - 5. Let v(u) = -11*m(u) + 4*x(u). Determine 5*l(j) + v(j).\nAnswer: -2*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*k**3 + 373685*k**2 - 4799109 wrt k?\nAnswer: 21*k**2 + 747370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1219*w + 2*w**2 + 1219*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*r**3 + 7*r + 400.\nAnswer: -15*r**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 43, 90, 153, 232?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 523220532 + -5?\nAnswer: 523220523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 44  (c) 473.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*x = 5 + 9, x + 19 = 5*b. Suppose f = -4, -3*l + 5*f - b*f = -14. Solve v = -1 + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-380)\/(-390))\/((-1)\/(-32 + -1)). Let k = x + -32. Let q be 1\/(4\/(-5) - -1). What is the nearest to q in k, 2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by 115\nAnswer: -11\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 496 and 686.\nAnswer: 170128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 3:18 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 2*o - 350884 = -350840, -2*r + 56 = -3*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -64 * 2840.7\nAnswer: -181804.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**3 + 6*y**2 + 5*y - 3. Let u be (30\/25)\/((-2)\/(-5)). Is f(u) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010111110 (base 2) to base 4\nAnswer: 22332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3205 - 868. List the prime factors of f.\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8244 (base 13) in base 14?\nAnswer: -6798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) - ((-1 + sqrt(847) - sqrt(847)) + 5)) + sqrt(1008) + (sqrt(1008) + sqrt(1008)*1)**2*-3.\nAnswer: -12100 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 309227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 + -18902)*(75\/20)\/(-1). Suppose -3*m - d = 3*o, m - o = -23670 + 50. What is m rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 184\/70)*(-106880)\/(-42752).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 11102 (base 5) to base 15\nAnswer: 36c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -436 + 414.1. Round t to zero dps.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 184*v**2 + 734*v - 734*v.\nAnswer: 184*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 divide 115937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 + 0\/(-5) + 0. Let a(q) = 21*q**3 + 3*q**2 - 2. Let y be a(r). Suppose -2*z - 3*s + 584 = 2*z, 4*z + s - y = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 26 - 2. What are the prime factors of d\/32 + 11\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -87*n + 706. Let a be c(8). Solve -3*d = -a + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 4*o. Let y be w(2). Suppose -6*l = -2*l - y. Let c(z) = -z**2 + 2*z + 3. Give c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 11:44 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/(-20))\/((-2)\/10). Which is the closest to 1\/6?  (a) -2\/11  (b) s  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) -2\/5  (c) -1\/7  (d) -4.84  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -5*k. Let b(q) = 11*q + 3. Let x be b(5). Let i(h) = -8 - 2*h - 26 + x - 6. Let j be i(10). Calculate g(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -3 + 2 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -5*w**2 - 4*w + 4. Let o(k) = 16*k**2 + 3*k - 3. Let x(z) = -4*z**2 - z + 1. Let g(n) = 2*o(n) + 9*x(n). What is -4*g(d) + 3*m(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -20085580 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -82.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-14)\/(-105)*35\/(-63). Sort r, 3, 2, -0.2 in ascending order.\nAnswer: -0.2, r, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 14049 or 2?\nAnswer: 14049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.03382 - 0.03618. What is the nearest to 71 in 1, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -37*v**2 + 2746*v - 964. What is d(74)?\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 109.899 + 2088\nAnswer: 2197.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1023 (base 5) to base 10.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142*f + 128*f + 56 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1174507064.\nAnswer: 2, 47, 3123689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2389972 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 11*m**5\/5 + 155*m**2 - 7*m + 26. Find the first derivative of l(n) wrt n.\nAnswer: 132*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 796*k - 13192 = -171*k + 22587 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4762591 times -28?\nAnswer: -133352548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1044.2 - -1044. What is the third smallest value in 3\/8, y, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -p*q**3*x**3 - 11477*p*q*x**3 - p - 58*q**3*x + 2*q*x**2 wrt x.\nAnswer: -6*p*q**3 - 68862*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5*l - 202, 22*r = -l + 26*r - 36. Which is bigger: l or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + -1 - (6 + -2). Let x = -5 - j. Suppose -4 = -2*m - 4*r, 0 = -5*m + x*m + 5*r + 39. What is the smallest common multiple of m and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2*u - 3)*(3*u - 5*u + 3*u) - u - u**2 + u + u**2 - 2 + 2)*(3*u**2 - 4*u**2 + 3*u**2)*(9 - 26 + 10).\nAnswer: 28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -1248\/11*q**2 - 90\/11*q**3 + 24576\/11 - 3584\/11*q - 2\/11*q**4 = 0.\nAnswer: -16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-274)\/108)\/(803\/22). Let c = 1\/219 - h. Is 0 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 17*k**5\/20 - k**4\/6 + k**3\/6 + k. Let u(q) = 96*q - 1202. Calculate the remainder when u(13) is divided by m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -155\/2 + 1399\/18. Let l = -75\/14 + 27\/7. Let n = 0.08 - 5.08. Which is the closest to -1?  (a) l  (b) h  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n + 54*n + 31*n)*(3*n**4 - n**4 + 0*n**4) + n**4 + n**4 - 3*n**5 + 6*n**5.\nAnswer: 179*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*h**3 + 26*h**3 + 0 - 2*h + 2 + 5*h**3 - 3*h**2 + 8*h**3.\nAnswer: 29*h**3 - 3*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 364258*w**5 - 2*w**4 - 547*w**2 + 79.\nAnswer: 21855480*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**4 + 1197*j**3 - 118782*j**2 - 127200*j + 720000 = 0.\nAnswer: -3, 2, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - z + 0 + (3 - 3 - 2)*(z + 1 - 1) + 111 - 2*z - 2 - 30 - 11*z - 20*z + 5*z.\nAnswer: -31*z + 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1*-4*2 + 114 + -107\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 140 and 728?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 a when four letters picked without replacement from {a: 1, f: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away 2384339.29?\nAnswer: -2384339.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19837662 is divided by 795.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*a**3 + 3*a**3 + 2*a**3)*(9*a**2 + 40*a**2 + 6*a**2) + (-2*a**3 + 2*a**3 + 5*a**3)*(-a**2 - 5 + 5).\nAnswer: -115*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.124  (b) -3  (c) -0.4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 35 - -148. Suppose -2*t - i = -537. Suppose 7*f - 10*f + t = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + y - 3*y - 18 = 0, 3*m + 4*y = -10. Suppose -g + 3*g = -m, -1 = -j - 2*g. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (176\/32 - 7)\/(-3). Find b, given that 0*b**4 + 0 + b**2 + n*b**5 + 0*b - 3\/2*b**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (288\/30)\/2*1\/(-2).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -144483, -144482, -144481, -144480?\n\"Answer: y - 144484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**2 + 21345718*i - 42691428 = 0.\nAnswer: 2, 10672857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q + 254*q - 101 + 101 - 35*q.\nAnswer: 236*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -2*y**3 - 12*y**2 - 15. Let f(v) = 2*v**3 + 11*v**2 + 14. Let o(w) = -5*f(w) - 4*h(w). Is o(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 421*k - 419*k - 12, -z + 53 = 5*k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -1385*j - 43064. Give h(-31).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**3*t*z**3 + d**3 - 4*d*t**2*z - 4*d*t*z - d*z**3 - 3*t**2*z**2 wrt z.\nAnswer: 12*d**3*t*z - 6*d*z - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 319\/7 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 89 - 8 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 5 = -0*j + 5*c, 26 = 5*j + 2*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3\/(-3))\/(2\/(-6)). Suppose -3*j + 72 = q*a, j - 5*j = a - 90. Suppose -4*o = -7*o + 5*i + j, 4*i = -3*o + 31. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 141 - -322889?\nAnswer: 323030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-44)\/(-8) + 2\/(-4). Suppose 0 = -l*s + 8*s. Suppose 0 = 2*v - 15 - 15. Solve -5*j = -s*j + v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1218099 is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*k - 8*k - 23*k + 132*k - 33*k.\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/45108711 and -52\/126065?\nAnswer: 4285327545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 102879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 - 9*n - 11. What is m(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -5*z - 428, -3*z = 2*z + s + 418. Let o be (-1830)\/z - (-2)\/(-7). Let f = o - 22. What is the closest to 0.1 in f, 1, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, m: 3, b: 3, w: 2, s: 3, u: 2}. What is prob of sequence wbl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/(19 - 16) + 23689.\nAnswer: 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2656*y + 2675*y - 33098 = 0. Sort -2, 5, 3, 2, y in descending order.\nAnswer: y, 5, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -36954*a + 70. Let b be m(5). What is b rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 7 = 4*g - 6*g, -3*g + 2*m + 9 = 0. Let z = 1 - g. Let t(a) = 2*a + 0 + z. Let s(p) = -p**2. Give s(t(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 - 48 - 134)*(-n - 3*n + 3*n) + (2*n - 1 + 1)*(0 - 5 + 4) + n - 2 + 2.\nAnswer: 225*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -5*w**3 + 13*w**2 - w - 1. Let p(t) = 6*t**3 - 14*t**2 + t + 1. Let m(v) = -5*l(v) - 4*p(v). Let a be m(6). Round a to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -254, -247, -236, -221?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/27)\/(-1))\/((42\/2058)\/((-30)\/7))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, w: 2}. What is prob of picking 1 w and 2 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a - 4*a**2 + 2*a - 1 + 5*a**2. Let m(q) = 4*q**2 + 2*q - 6. Suppose 5*v + 2 = 7*v. Let n(h) = v*m(h) - 2*s(h). Differentiate n(o) with respect to o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -23 by -6176.\nAnswer: 23\/6176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mwwgtg. Give prob of sequence gtw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 2. Let c be j(-4). What is the third derivative of v**2 - 6*v**2 - v**4 + 6*v**c wrt v?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 35290\/105 - 0\/2. Let b = n + -336. What is the closest to -2\/3 in b, -1\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 - 155*o**2 - 3827*o + 182183.\nAnswer: -(o - 23)*(o + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 387 = -4*r + 2*i, -2*i = -6. Suppose -957*k = -857*k - 14300. What is the highest common divisor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.02  (b) -229\/5  (c) 1  (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -99 - -102. Suppose -10 = -2*m + v*j, -3*m + 4*j + 0*j = -13. Calculate the remainder when (1\/2 - m - -2)*10 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + ((-2)\/8 - 1\/(-4)). Find the common denominator of (-1 - (-151)\/k)*54\/(-45) and -9\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -12*f + 16*f. Suppose 10*t - f*t = 3. Let g be -1 + t + 4 + -2. Solve g = -q, q - 16 = 2*p + 5*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13.69 - -0.1\nAnswer: -13.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 666 - 20 = 449*c - 103971. Solve -c*f + 220*f - 39 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4*u + 1. Let p(k) = -10 - 9*k + 18*k + 6*k + 4. Let y(o) = 22*g(o) + 6*p(o). Let x(b) = -b**2. Give x(y(t)).\nAnswer: -4*t**2 + 56*t - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16039, -32078, -48117, -64156, -80195?\n\"Answer: -16039*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/5)*z**(1\/3)\/z*(z**(-1)\/z)\/z**6*z**1*z**3*z*z*z*(z*z*z**(-1))\/z*z*z*z*z*z**(-2\/9)*z assuming z is positive.\nAnswer: z**(122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 18*s**2 - 2. Let n(u) = 9*u**2 - 1. Determine 4*b(v) - 9*n(v).\nAnswer: -9*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 2:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15775031591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 9, a: 9}. What is prob of sequence akk?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + -3)*1 + 24. Let s(t) = -6*t - 6. Let j be s(-7). Let x = j - u. What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of -5*r**7\/63 - 17*r**6\/45 + 13*r**5\/10 + 17*r**4\/2 + 6*r**3 + 704*r + 7. Suppose h(v) = 0. What is v?\nAnswer: -3, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**2 + 278*l - 6325 = 0. Calculate l.\nAnswer: 25, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4318 (base 15) in base 6?\nAnswer: 145422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 472 + 986 = 16*i - 302. Solve -58*t + i = -36*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44 and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjjkkkjjkkjmnjkjjjm. Give prob of picking 2 j.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 14*g - 13. Let o be v(10). Suppose 2*t - 47 + 11 = 0. What is the highest common factor of t and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - (-5 + 26 + -34)) + -9 + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1978 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21776 is divided by 6081?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o - 2*o - 16 = -4*p, -22 = -4*p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*l**3*n**2*z - 87*l**3*n*z**2 + 2*l**3*z**3 - l**2*n**2 + 464*l*n**2*z**3 + 2*l*n**2*z wrt z.\nAnswer: 12*l**3 + 2784*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/(-36)*(-3537)\/262.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*c + 14 + 6. Suppose p - 3*f = 3, 3*p - 9 = 8*f - 4*f. Put c, -1, p, 4 in decreasing order.\nAnswer: 4, p, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30 or -143\/5?\nAnswer: -143\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + -3 + (-16)\/(-4). Suppose d*x = 5*x - 8. Let j(p) = 2*p - 5. Let g(k) = 2*k - 6. Give x*g(m) + 5*j(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31 and 75547?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**5 - 11*s**4 + 4*s**3 + 60*s**2.\nAnswer: s**2*(s - 10)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + 8*m + 1. Let h(k) = -4*k**2 + 58*k + 51. Let j(d) = -h(d) + 5*t(d). Give j(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 3*f**2 + 342690*f + 20892927 = 0.\nAnswer: -114169, -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1234165.787 rounded to the nearest 1000?\nAnswer: -1234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 279 and 155.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 36*t**2 - 63*t + 201. Is 15 a factor of j(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.059 - -33.141. What is f rounded to zero dps?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.3 + -0.3. Let t = -240 + 3602\/15. What is the biggest value in 0.6, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-437)\/(-2))\/(7\/(-2) - -4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14\/11?  (a) 2\/9  (b) -2  (c) 2129.3  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132637 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 332681304.\nAnswer: 2, 3, 499, 27779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1500 and 15?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 0 - -1 - -5 - (299 + -274).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of w**4\/8 - w**3\/3 + 2*w**2. Let v(g) = 161*g - 18351. Let c be v(114). Give o(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -8*x - 10 - 3*x**2 - 2*x**2 - x**3 - 15*x + 16*x. Let b be z(-4). Let 0*n**b - 5*n**2 - 10*n - 402 + 402 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + sqrt(1100)*2 + (sqrt(1100) + -1)*-1)**2.\nAnswer: -5505 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-10)\/6)\/(2 - (-217)\/(-105)). Solve -8*c + 13*c + q = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 37802247 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/8 - 32153\/(-296). Suppose -v*i - 28014 = -130*i. List the prime factors of i.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ketktlklke. Give prob of picking 1 t and 1 k.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 120002111 (base 3) in base 2?\nAnswer: 10101011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -6230 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 - c + 1. Let p be a(0). Suppose -z + p = -5. Let g(b) = 0 - 6 - 2 + b. Give g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 + -11.8. Let h = -6 - t. Let q = h + -7.076. Round q to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**2\/7 - 632*q - 698992 = 0.\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12526 + 12619. Solve t*q = 80 + 199 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-2 - -5) - (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w + 4*f - 10, 5*w - 6*f + f = -50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -412 - 6*o + 412 + 0*o to the form t*o + d and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1300 and 257725?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6015 divided by 5?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 346 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 2*a, 0 = -4*w - 2*a - 2*a + 4. Suppose w*b = -b. Determine j so that -1\/5*j + 1\/5*j**5 - 2\/5*j**4 + 0 + 2\/5*j**2 + b*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 731 + -729. Suppose 4*x = q - 3, 0 = 2*q + n*x + 20 - 26. Solve 4*c = 2*z - 10, -q*c - 4*z + 8 = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -25 + 313?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 126.26 to the nearest integer.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*t**2 - 28695129*t + 14347566.\nAnswer: -3*(t + 4782522)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -862 + 850 - -5*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 12*n**2 - 6*n - 1. Suppose 13*l = 18*l - 5. Let a be i(l). Solve 0 = x + 3*k + 1 + 12, 3*k = -5*x - a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11650015 and 3380?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 212899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6*o**2 + 208*o + 703. Calculate l(-31).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/968 and 119\/36.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3876\/(-2052))\/((-16)\/(-72)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the first derivative of -11*x**4\/6 + 5*x**3\/3 + x**2 + 3*x + 30. Let z(p) be the second derivative of r(p). Find the first derivative of z(n) wrt n.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from awmwlwyiwwwwaw. What is prob of picking 1 a, 1 m, and 1 l?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-24)*l**(2\/7))\/(l**(-1\/54))**(-1\/49) assuming l is positive.\nAnswer: l**(-62749\/2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -147, 0, 5\/4, -0.8, -3, -0.02 in ascending order.\nAnswer: -147, -3, -0.8, -0.02, 0, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-94)\/((-30080)\/3280))\/(3\/(-2)*(-10)\/60)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.02 - 0.02. Suppose v - 3*v - 4 = 0, 3*z = 4*v + 8. Which is the nearest to m?  (a) 5  (b) -1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182692*u**3 + 5*u**2 + 20260*u**3 - 5*u**2.\nAnswer: -162432*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from uddhdudddduhddhdduh?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1318 and 0.4?\nAnswer: 1317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 152*h - 1068. Let l be y(7). Put 5, -2, 9, 2, l in ascending order.\nAnswer: l, -2, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from umwu. What is prob of sequence mu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1171 (base 11) to base 8\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**2\/3 - 2732*j\/3 - 910 = 0. Calculate j.\nAnswer: -1365, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 8 + 14)*(0*v - v + 2*v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q + 2. Let b(a) = -a + 0*a + 9 - 4 - 2*a. Let g(s) = -2*b(s) + 5*x(s). Let f(o) be the third derivative of o**4\/6 + 2*o**2. Give f(g(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -161 - -117. Let n = 89 + d. Calculate the remainder when n is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.51?  (a) 2\/17  (b) 3\/4  (c) 1\/9  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6292 = 5*g + 3*b, 4*g - 3*b + 1736 = 6775. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 29 or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**3 + 5*u**2 - 4*u - 12. Let x be b(-2). Let l be x\/(-20)*(-55)\/(-22). Solve 0 = 6*j - l*j + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 0.16  (c) 0.3  (d) -80  (e) 3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 41, 83, 141, 215?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16814 = 2122*m + 280*m. Let a = -6 - -11. Suppose a*n - 8 = 2. Put m, -4, n in ascending order.\nAnswer: m, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -80*k - 449. Give r(-8).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = a + 14, -89*a = -87*a - 2*j + 18. Sort 7, a, 3, 21.\nAnswer: a, 3, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/117  (b) -2  (c) -3  (d) -4  (e) 2\/753  (f) -5  (g) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100606 is divided by 50296.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (197\/7092)\/(312\/1728)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7289 + -4057. What is the smallest common multiple of z and 8?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30\/13*a**2 - 18\/13*a - 4\/13 + 44\/13*a**3 = 0 for a.\nAnswer: -1, -2\/11, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0\/(-2) - 90\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of l*n**4*t - 311*l*n**3*t**3 + 2*l*n*t**3 + 6*l - 470*n**2*t**3 wrt n?\nAnswer: 24*l*n*t - 1866*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 23 in -1\/4, -10, 0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5*i + 137 = 0, -4*x + 71 + 258 = i. Let d = -15 + x. What are the prime factors of (-4)\/(-10) - d\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/172 and 61\/172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45320 - -4.\nAnswer: -45316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4\/5  (b) -2\/7  (c) -2  (d) 7  (e) 199  (f) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79427?\nAnswer: 79427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-10)*230\/92?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 8*b**2 + 3*b - 18. Let c be w(-4). Calculate the highest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 279 is divided by 87?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2372135.\nAnswer: 5, 67, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -118996782 less than -2.128073?\nAnswer: 118996779.871927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3697*s**2. Let z(v) = 578*v. Determine g(z(n)).\nAnswer: -1235108548*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/((-30)\/(-85)*(-1)\/152)?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105292 and 473814?\nAnswer: 947628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0*m - 7 = -h, 4*h + 17 = -m. Suppose -w + 19 = d, m*w + 2*d - 61 + 2 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331)*-2)**2 + -4 - ((sqrt(99) - (sqrt(99) - (sqrt(99)*-2)**2) - sqrt(11)) + 3)) + -3 + -5.\nAnswer: sqrt(11) + 4913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of -641*p**7\/210 - 5*p**5\/12 - p**4\/12 + p**3\/3 + 784*p**2. Find the third derivative of f(d) wrt d.\nAnswer: -15384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/(-15) + (-291)\/(-15). What is the highest common factor of 140 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the third derivative of y**5\/60 - 3*y**4\/4 + 15*y**3\/2 - 2*y**2 + 505*y. Find m such that z(m) = 0.\nAnswer: 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12 - 19*u**2 + 22*u**2 + 7*u**2)*(-5*u + 11*u - u) as t*u + r*u**2 + q + s*u**3 and give t.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 77*i**3\/2 + 265*i**2\/4 + 93*i\/4 - 9\/2.\nAnswer: (i + 1)*(7*i + 6)*(22*i - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 34 = 2. Let z = 17 - x. Calculate the least common multiple of z and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 25*f + 70.\nAnswer: -5*(f - 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -j + 5*v, j - v - 30 = -2*j. Suppose -2*g + 88 = -p - p, 0 = 2*g + 2*p - 88. Suppose 4*k + 0*k = g. Calculate the highest common divisor of k and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 9:08 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - ((-7 - -1) + 0). Suppose z*t - 20 + 0 = 0. Solve t = -c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 2*j - 5. Let z be p(-4). Let f = -11 - z. Suppose -3*b - f*b = -2*h + 50, 2*b = 2*h - 44. Solve d + 25 = -4*c, 2*d + h = -d - c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -353 + 4758?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 251260 (base 12) in base 8?\nAnswer: 2232450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 74  (b) 4  (c) -1.8  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*i**6 - 518*i**4 - 16996*i**3 + 326976848*i**2 wrt i?\nAnswer: 1200*i**3 - 12432*i - 101976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*i + 33*i + 42*i + 280 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (3 + (-1 - -2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the second derivative of y**4\/12 - 17*y**3\/6 + 2*y**2 - 2*y. Let s be p(17). Suppose -s*u + 3612 = 3*z + z, 3*u = 3*z - 2733. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-788)\/(-15169)*7\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 16 + 17 = 3*d, 0 = 3*c - 5*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (36498\/(-56))\/(-11) - 33\/88*-2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-14196)\/(-5) + (6 - 5)\/((-25)\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a**2 + 49*a - 278. Give d(-30).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.0792 times -856.1\nAnswer: 67.80312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n + 99. Let a(f) = -2*f - 17. What is the remainder when w(18) is divided by a(-16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11852.67 less than 0.9?\nAnswer: -11851.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 3*g + 0*g)*(-g**3 + g - g) + 2*g**4 - 3*g**4 - g**4 - 5*g**4 - 25*g**4 - g**4 + (2 - g**2 - 2)*(3*g**2 + 0*g**2 + 0*g**2).\nAnswer: -35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.993255 millennia in years?\nAnswer: 3993.255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -439, -828, -1217, -1606, -1995?\n\"Answer: -389*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 458972 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -82, 0.2, -2\/5, 3\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4051 = i, 3*x - 5938 = -3*i + 6233. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 42*r - 23*r - 44 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 164213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.36 - 0.3391. Round b to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from {s: 2, t: 1, u: 1, j: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.05 and 169.\nAnswer: 170.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 28, 37, 44, 49, 52, 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - (3 - 2) - (22 + -25). Let p be u\/(15 + -6 + -4). Solve r = -2, 3*k + 3*r + 21 = -p*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 29913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 3, b: 1, y: 10, w: 2}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1985 - -1985. Solve -c + 5*l = -30, i = -5*c + 12*l - 8*l + 45 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gh when two letters picked without replacement from ologlhhghnoloonnno?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of -384*p**2 + 704*p + 629. Differentiate f(q) with respect to q.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*o + 3 = -15, -k = 2*o - 7. What is the highest common divisor of 40 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, 7, -0.1, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 636, 643, 662, 699, 760, 851, 978, 1147?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 10*s**2 + 8*s - 13. Let l be h(-9). Is ((-14)\/21)\/(l\/246) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 640 and 1039872?\nAnswer: 5199360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2*-2483592\nAnswer: 4967184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1265, 2458, 3661, 4880, 6121, 7390, 8693, 10036?\n\"Answer: q**3 - q**2 + 1189*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23411 + -23402. Solve 3*m = 2*r - 7, 2*m + 4*r = t*r + 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 14*s - 630. Let p be m(45). Solve 2*l + l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -292305494 - -292305551.0000094. Let w = -51.4 - 5.6. Let q = w + l. What is q rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 190 + -194. Let h(l) = -3*l**2 - 5*l + 2. Determine h(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11809 divided by 16.\nAnswer: -11809\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m + 2*m - 5*m)*(3 - 14 - 1)*(0*m + m + 0*m)*(-1 - 1 + 7)*(-53*m**2 - 422*m + 422*m) to the form c*m**3 + k + a*m + l*m**2 + i*m**4 and give i.\nAnswer: -3180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4, 25, 50, 67, 64, 29, -50?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -1 - (-2 + (1 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m + 5*r = 133, -6917*m + 41 = -6921*m + r for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31 + -12. Suppose 3*k + 9 = 69. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -34*c - 61. Let y be w(-2). Let a(z) = 47*z**3 + 11*z**2 + 15*z - 15. Let d be a(y). Round d to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1493529.552 rounded to the nearest 100?\nAnswer: -1493500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.6 times -135.7?\nAnswer: 488.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/19 >= 480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-2)\/14*106\/212.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 3*x + 6 - 21 = 0, 4*r = -5*x - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129*m + 212 = -83*m. Is m smaller than 880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 856119.4 millennia?\nAnswer: 856119400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1069875 divided by 1585\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -7272*i - 43357. Calculate a(-6).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -962 - -967. Let q(p) = p**3 - 7*p**2 + 5*p + 3. Let a(o) = o**3 - 4*o**2 + 3*o + 2. Give r*a(x) - 3*q(x).\nAnswer: 2*x**3 + x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-140)\/294)\/((-165)\/462)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3704?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 163, 333, 513, 709, 927, 1173, 1453?\n\"Answer: l**3 - l**2 + 166*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 15) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1236 = 6*n - 3*q + 1245, q - 7 = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 7*c**2 - 159*c - 49. Let a be d(23). What is the closest to 2\/3 in 0, -295\/6, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 312 + -6 + (-6 - -14) + 2 + 2. Solve -8 = l*y - 310*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46 + -31. Let s = n + -10. Calculate the smallest common multiple of 2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/5*(-59850)\/(-630)*-6?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -300 (base 12) in base 11?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -334  (b) 2\/15  (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of q**6\/120 + q**5\/60 - q**4\/12 - q**3\/6 + 2*q**2. Let g be ((-10)\/(-15))\/(2\/(-3)). What is the units digit of x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**3 + 2*c - 2. Let s be b(1). Suppose 4*y + 3*j - 174 = 0, -14 = -s*j - 24. What is the remainder when y is divided by (-138)\/(-9) + 2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 + 38. Which is the closest to 2?  (a) 2  (b) -7\/3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 9*y**2 + 7*y - 6. Let h be o(-8). Let n(f) = -f**2 - 63*f + 343. Let m be n(-68). Solve 3*k = -3*t - m, h*k - 3*t = -t + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*i**3 - 25*i**3 - 34*i**3 + 115*i**3 - 29*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1374.413 rounded to the nearest ten?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 229*b + 12. Let f(x) = 496*x + 26. Let d(s) = 6*f(s) - 13*r(s). Let u(g) = -12329*g**2. What is d(u(j))?\nAnswer: 12329*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23411 + -1?\nAnswer: -23412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12008, 12012, 12018, 12026, 12036, 12048?\nAnswer: 12062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 - 13*g - 36. What is u(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 - 11 = 4*r. Suppose 4*l - 19 = -4*i + 1, 2*i = -l + r. Let z(p) = p**2 - 4*p - 3. Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.417 + 0.083. Which is the second biggest value?  (a) s  (b) 1  (c) 3  (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of -19*b**5\/60 + 43*b**3\/2 - 98*b**2. What is the derivative of g(i) wrt i?\nAnswer: -38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 + 6*m + 4. Let u(n) = -2*n + 19. Let q be u(6). Let x = 42 + -30. Let l = x - q. Determine v(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59336932 is divided by 799.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 18737664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 113880 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -45550601 less than -45550602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 2*h - 52574, -w + 5*h - 2553 = -20069. Does 55 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62067?\nAnswer: 3, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.8 or -22772?\nAnswer: -22772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((799\/(-85))\/47)\/((-2)\/6*1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17749.\nAnswer: 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 7) + (-7 - 8) + 1 + -7.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 68 - 64. What is the fourth biggest value in -2\/5, p, -4, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1448 - 3?\nAnswer: -144b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o + 3. Let n be w(2). Suppose -17 = -n*h + 3. Solve 0 = h*t + 3 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 200 - 379. Let m = -179.00000246 - x. Round m to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 739278 is divided by 839.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvtl. Give prob of picking 1 t and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-2) - (4 - (-136)\/(-16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*g*o*p*r**2 - 5*g*o*p*r - 6*g*o*r**2 + g*p*r**3 - g*r**3 - 612*o*r**3 + 2*o*r**2 wrt r.\nAnswer: 6*g*p - 6*g - 3672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009032 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17769, -35469, -53155, -70821, -88461, -106069, -123639, -141165?\nAnswer: -158641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 6. Calculate the remainder when (-20)\/(-4) - 2 - -5 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/27)*y)**(10\/7)*(y*y**(-10\/7)*y)\/((y\/(y\/((y\/(y*y*y**(2\/17)))\/y)))\/y) assuming y is positive.\nAnswer: y**(16613\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 22*o - 22. Solve 4*q - 14 - 2 = 4*l, -4*l + o*q = 18 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3812 or 3814?\nAnswer: 3812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16508.\nAnswer: 2, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2144, -2145, -2146, -2147, -2148?\n\"Answer: -h - 2143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1333 is divided by 341.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 8, c: 7, z: 2, t: 1, h: 1}. What is prob of picking 2 c?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*a - 3264 = -a, 4*a = -4*n + 6524. Suppose 9*o = 332 + n. List the prime factors of o.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x + 1. Let u = -1 - 4. Let h be l(u). Which is the nearest to 0?  (a) h  (b) -2\/13  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35491 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3*z - 39 - 15 = 0, 0 = -5*l - 2*z + 90. Is 14 a factor of (-164)\/(-3) - (-24)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -35 and -0.03.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 4*v - 6. Let g be c(7). Suppose -63 = -2*k + 3*j, 3*k - g = 2*j + 16. Calculate the greatest common factor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 5346*z - 85497. What is h(16)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -3*w**5\/5 + 3*w**3 - 3*w**2 + 46. Find p, given that u(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 25 - 63 = 0. Let l be (-2)\/(-8) - 484\/16. Let u = t - l. What is the highest common divisor of 64 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(95)\/(sqrt(40)\/sqrt(8))*1 - (sqrt(152)\/(sqrt(1152) - sqrt(1152)*-4) + -1))*5.\nAnswer: -15 + 59*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x**2 - 34*x - 12. Does 16 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 12:27 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -68452078, -68452077, -68452076, -68452075, -68452074?\n\"Answer: b - 68452079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v - v**2 + 6*v - 3*v. Let w(z) = 3*z. Give a(w(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3932, 6131, 8330, 10529, 12728, 14927?\n\"Answer: 2199*o + 1733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/5012 and 43\/7518.\nAnswer: 15036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 - -84. Suppose -5*x = -10*x + 155. Suppose x = n - h. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 7*i - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cccccococcoc?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 + -8. Suppose 3*s + m = 4*v, 0*s = 2*v + 4*s - 28. Suppose -5*w - 49 + 5 = -4*u, -2*w = v*u - 44. What is the greatest common divisor of u and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 65 - 195\/507*52.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.05 + -0.05. Let g = p - -0.1. Let d = -0.08 + 3.08. Which is the closest to 0?  (a) g  (b) 3\/2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1341018.\nAnswer: 2, 3, 7, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 555 = -4*z, 2*b + 2 = 12. What is the lowest common multiple of 32 and z?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 6 - 4 = -3*x, 2*w = -8. Sort -23, -4, x in decreasing order.\nAnswer: x, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 3 = -n. Let -5*i**2 - 50*i + 2 - 159 + n*i**2 + 32 = 0. What is i?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/(-14))\/(7\/(-49)). Suppose -3*k - i = -5*k. Factor -70*d**4 + 5*d**3 - 2*d**k + 16*d**2 + 4*d - 8*d - 49*d**5 + 4*d**2.\nAnswer: -d*(d + 1)**2*(7*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -6*m**2 + 51*m + 30. Let r be l(9). Solve -5*b + 8*v = r*v + 5, v + 29 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1378083535?\nAnswer: 5, 3463, 79589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 190a8?\nAnswer: 190b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 251531 (base 11) to base 15\nAnswer: 7caa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d + 3*o = -13*d - 3, 3*d + 13 = 4*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*d - 14 = 0, -4*p + 4*d - 14 - 2 = 0. Suppose 3*m + 2*m - 40 = 0. Let b = p + m. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 44547*q + 5448 wrt q.\nAnswer: 44547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1953877*c*h**5 - 3*c*h**4 - 131048*c + 2*h**3 + 16*h**2 - 6 wrt h.\nAnswer: 117232620*c*h**2 - 72*c*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-860)\/(-18) + (-2)\/(-9). Let l = -28 + m. Suppose -2*w - 2*w - l = 0. Are w and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 1\/4, 74, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8950850579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 12*u**2. Suppose 2*n + 4*d - 48 = n, 3*n - 144 = d. Let w(l) = n*l - 2 + 2 - 45*l. Calculate z(w(v)).\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 72862737*h**6 + 97841478*h**2 + h wrt h.\nAnswer: 8743528440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -159*m - 78. Let k be (-6 + 12 + -1)*-1. What is the tens digit of j(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 25. Let t = 1 + p. Solve 24 = -5*j - 3*c - 1, 4*c = -t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42111373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4624 times -3\nAnswer: -13872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -2*d**3 + 313*d**2 - 2780*d - 79. Determine y(147).\nAnswer: 1832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-26527)\/2050 - 825\/13750\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 144 - 134. Let i(t) = t**3 - 10*t**2 + 9*t - 7. Calculate the remainder when i(j) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 0.01\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/27215 and 113\/50.\nAnswer: 272150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 136133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -4*o + 7*o. Solve s = 3*s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -128 + 254. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**6\/120 + 2*z**5\/15 + 7*z**4\/24 - 4*z**3\/3 + 8*z**2. Let w be k(-7). Is -7 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - 3. Let z = j + 14. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssmsssmsvvvvvqvsvpvq. What is prob of picking 1 p and 2 v?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 130 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -2 + 3 - 0) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -2*v + 1710, 12*v - 16*v - 3*q = -3410. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/(u\/((u\/(u\/(u**(-26\/9)\/u)))\/u)))\/u)\/u)\/u**9)\/(u**(2\/19))**39 assuming u is positive.\nAnswer: u**(-3419\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5\/11 + 78*d**4\/11 - 58*d**3\/11 - 4974*d**2\/11 + 4736*d\/11 + 9576\/11 = 0.\nAnswer: -38, -9, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -873, -6.3, -2 in decreasing order.\nAnswer: 2, -2, -6.3, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*z - 8*z + 6 + 9*z)*(-129*z**2 + 50*z**2 + 3*z**2) in the form u*z**2 + o*z**3 + s + w*z and give u.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence scs when three letters picked without replacement from {x: 1, s: 2, c: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16223 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -137 = -32*m + 55. Solve -2*l = -3*z - 1 - 1, 3*z = 3*l - m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2353667*j**3*r - 30*j**2*r + 2731*j**2 wrt j.\nAnswer: -14122002*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-24)*i**(2\/123)*(i\/(i\/(i**(2\/43)*i*i)))**28 assuming i is positive.\nAnswer: i**(176222\/5289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - d - 1. Let y be k(-2). Suppose 0 = y*t - 8*t + 258. Which is bigger: t or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-48)\/(-12))\/((-2)\/1))\/(3\/(-45)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -18317, -20756, -24815, -30488, -37769, -46652, -57131?\n\"Answer: t**3 - 816*t**2 + 2*t - 17504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (0 - 4) - 2 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -22*g + 1188. What is n(54)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z - 2*z + 3*z - 13 + z**2 to f + u*z + g*z**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 5:57 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 17514954481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 8\/9, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 + 0)*(-34)\/102. Suppose 7*v = 4*v + 72. Suppose -o*i + 3*i = v. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 62 - 62 - 240*l + (0 + 1 - 2)*(-3 + 3 + 2*l) + l + 2*l - 2*l.\nAnswer: -241*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6405\/(-585) + (0 - (-6)\/(-117))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -321 - -2003203?\nAnswer: 2002332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, -6, 3, -26, -117?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 7*w**6\/720 - w**5\/60 - w**4\/6 - w**2. Let n(y) be the second derivative of o(y). Give n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/(-8) - (-2992)\/544)*32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jnjn when four letters picked without replacement from {j: 3, n: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -990 divided by 10?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8355254 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b**3 - 2*b**3 + 4*b**3 + (-2*b**3 - 2*b**3 + b**3)*(-3 - 3 + 3))*(2*b + 2*b - 3*b).\nAnswer: 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000375 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/7 - 545936530*c\/7 - 74511673697110225\/7.\nAnswer: -(c + 272968265)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1642 - -1637. What is the nearest to -1 in h, -1\/2, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*i**2 - i**5 + 213 - 213 wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*((-16)\/20 - (-30)\/(-25)). Suppose -4*q - 542 = 5*c - 2923, -q + 609 = g*c. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00037118282 to six dps.\nAnswer: -0.000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 48650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12269.277 months in decades?\nAnswer: 102.243975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.0018, 33 in descending order.\nAnswer: 33, 3, -0.0018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(-16)\/(-6) + -2. Let p(s) = -s**2 - 12*s + 8. Calculate p(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3604 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 11:22 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5499183 * -2\nAnswer: -10998366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 134*x**2 - 1. Let d be t(-1). Suppose -2*w - d = -1203. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 + 4*x - 3. Let d be c(3). Let i(h) = h**2 + 1. Let v be i(2). Solve z - 2*z - v = d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 - 1)*(6*n + 2*n - 4*n) - n + 4*n + 7*n)*(n + 3 - 3)*(-3 + 6 - 4)*(0 - 3 + 0)*(-15*n + 13*n - 9*n).\nAnswer: -462*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -9412+0.0182\nAnswer: -9411.9818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z + 5089 + 9*z - 2537 - 2540.\nAnswer: 10*z + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * -0.017102.\nAnswer: 0.0136816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 19*l**2 + 29*l - 66. Let z be k(19). Suppose -g = 3*v - z, -4*g = -v - 6*g + 170. Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 7*w**2 - 109*w - 32. Calculate f(20).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 14847122 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((891\/(-11))\/81)\/(5\/(40*5))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - z + (30 + 17 + 105)*(-1 - 3 + 1)*(-10*z - 11*z + 5*z).\nAnswer: 7295*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 4*(-1 + sqrt(98) + 2 - 4*(sqrt(98) + 1)) + 5)**2*5.\nAnswer: 9240*sqrt(2) + 71165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -3, 5, -60, -2, -1576 in decreasing order.\nAnswer: 5, 3, 0, -2, -3, -60, -1576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-35358)\/284*(-3)\/(-171) and -1\/2565.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.251 and 0.2?\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 71*j + 118*j - 274*j + 5*j + 0*j - 4*j + (3*j + 2*j - 3*j)*(2 - 1 + 1) + 2*j - 4*j + j as y*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -151*l + 147*l + 2*b + 14, 2*l + 3 = -b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 6*p**2 + 15*p - 2. Let d be s(6). Let r = d + -86. Suppose 2*k + 2*b - 80 = 0, -4*k - r*b - b + 159 = 0. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/36*2058\/2. Let u = -489 - r. What is the common denominator of (2\/88)\/(2\/(-68)) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 5:54 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -10*m + 2. Let p(y) = -368405*y. Calculate p(g(b)).\nAnswer: 3684050*b - 736810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j**3 - 5*j**2 + 4*j + 3. Let g(z) = 16*z**3 - 14*z**2 + 11*z + 8. Determine -3*g(k) + 8*t(k).\nAnswer: -8*k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -5. Let y be -1 - (0 + w - 62). Let b be y + (4 - 2 - 0). Calculate the highest common divisor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:09 PM and 8:05 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 40*b**2 - 1108*b + 3385. Give w(16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 + 54*o**2 - 346*o - 353. Determine c(14).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11329, -11328, -11327?\nAnswer: -11326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 791789\/4 - 1950737\/10. Let l = 2876 - o. What is the common denominator of l and 2 + -3 + 274\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 3. Let f = 13 + -32. Let v = 14 + f. Put 2\/5, x, v in ascending order.\nAnswer: v, x, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*c + 2. Is 7 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**3 - d**3 + 3*d**3)*(-2 + 3 - 26*d**2 + 23*d**2).\nAnswer: 3*d**5 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1286 + -1900. Let f = -1901\/3 - z. Which is bigger: f or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 55*a + 16. Determine m(2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/3 and -101\/312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 18  (c) -9\/5  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2755 - -1.2755. What is the second smallest value in k, 581, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1455, -1462, -1459, -1440, -1399, -1330, -1227?\n\"Answer: k**3 - k**2 - 11*k - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**(-1)*v))**(12\/11)*(v\/v**(-1\/2))\/(v*v\/v**(-1\/11)*v))**(-2\/57) assuming v is positive.\nAnswer: v**(1\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 4 - 4)*(-3 - 1 + 2)*(-2*v - v + v).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -188, -639, -1510, -2939, -5064, -8023?\nAnswer: -11954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 32399828 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.12 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2300 - 2268. Solve s*k = 22*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and 1187854?\nAnswer: 1187853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*i = -80*i + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 25206, 50410, 75610, 100806?\n\"Answer: -2*z**2 + 25210*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 + 16*c**2 + 25 + (-2*c**2 + 2 - 2)*(4 + 2 - 4) to g*c + a + s*c**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c - 2. Suppose q = -0*q. Suppose -2*s + q*s = 8. Let y be h(s). Solve y + 3 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + d + 1)*(331*d + 61*d**4 - 331*d) + 0*d**2 - 4*d**5 + 0*d**2 + (-6 + 3 + 1)*(-3*d**4 - d**5 + 3*d**4).\nAnswer: 59*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -470305, -470299, -470291, -470281, -470269, -470255, -470239?\n\"Answer: v**2 + 3*v - 470309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*z**6 - 9*z**4 + 71*z**2 - 3*z wrt z?\nAnswer: -840*z**3 - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32*x**4 - x**3 + 406 wrt x.\nAnswer: -128*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/15)*l*l**(-8\/3)\/l)\/(l*l**(1\/4)*l*l**8) assuming l is positive.\nAnswer: l**(-779\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1760315759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 13*y - 2. Let q be b(12). Let t(r) = -r + 7. Let o be t(q). Let i be 0\/o - (-4 + 4). Solve i = 3*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6090 and 25950?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q + 4. What is the remainder when 5 is divided by n(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-102)\/136)\/(2\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 992.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p + 108 - 4*p - 21 - 80. Let f be -6*(-1 + -1 + 1). What is y(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 4*n = -3*n - 21, -22 = -2*l - 2*n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01327038 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 3*r - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42050?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -290145\/11 - -26377. Which is the second smallest value?  (a) 4  (b) -0.048  (c) 0.5  (d) -0.5  (e) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 10:57 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**2 - 8*d + 1. Let u(i) = 3*i**2 + 7*i - 1. Give -4*p(g) - 5*u(g).\nAnswer: -3*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 6 = 7*y + 4*d, -2 = -y - 3*d. Let l be 5\/1 - (-8 + 8). Solve -l*n - 2*s = -7, n - 3*s + y = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5*((-6)\/(-14) + (-964)\/2380). Which is the fourth smallest value?  (a) -4  (b) w  (c) 3.6  (d) 5  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(45)\/sqrt(9))**2 + 2 - (4 + sqrt(5) + sqrt(5) + 2)).\nAnswer: -8*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (816\/85)\/((-3)\/(-10)). Let k be (s\/144 - 40\/18)\/5. Let j = -169\/6 + 28. Which is the closest to j?  (a) k  (b) -3  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -134980, -137134, -139288, -141442, -143596, -145750?\n\"Answer: -2154*r - 132826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 843 or 41379\/49?\nAnswer: 843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 - g**2 + 0*g**2. Let z be 0\/(0 + (-3 - -1)). Let p(v) = z*v + v - v + 4*v. Give q(p(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u - 4. Let b(p) = -p + 3. Suppose -3*x - 3 = 9. Let o(q) = x*b(q) - 3*w(q). Let s(n) = -4*n + 4*n + 22*n**2 - 18*n**2. Calculate s(o(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 3*x + x = -21, 0 = -u + 2*x + 3. Suppose 3*c = -5*i - 8 + 34, 0 = -i - u*c + 14. What is the highest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1050022752 and -54.05.\nAnswer: -53.9449977248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 5*s**3 - 1210*s**2 + 63875*s + 1145130 = 0.\nAnswer: -14, 123, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -60520 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 7*j - 74. Is j\/(2\/(-68)*-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-13) + 1 + -1. Let u(a) = a**3 - 16*a**2 + 2*a - 38. Let l be u(16). Sort 2, f, l.\nAnswer: l, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.911187 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1144458 and 25389?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-28)\/(-56) - (-3)\/2. Solve 0*v - w*v - 2*c - 12 = 0, -5*c - 2 = -2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 10. Let z = -75 + 73. Let x(u) = -8*u**3 + 2*u**2 + 1. Let j(s) = -9*s**3 + s**2 + 1. Let h(y) = z*x(y) + 3*j(y). Give h(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-36)*y*y*(y*y*y**(-10\/13)*y)\/y)**(2\/39) assuming y is positive.\nAnswer: y**(-284\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 382606 and 8?\nAnswer: 1530424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*b - 2*b + b)*(5 - 4 - 3) + b + b - b + 0*b - 3*b + 8*b)*(4*b + b - 3*b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -6. Is -2\/11 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.1, -16 in increasing order.\nAnswer: -16, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6050305 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 30*k - 134. Let a(l) = -l**2 - 148*l + 671. Let x(r) = -4*a(r) - 22*f(r). Factor x(t).\nAnswer: 4*(t - 11)*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101 + -43 - 164 - -204.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -2*t**2 + 3*t - 2. Let u be h(2). Is u less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**3 + 190578*g**2 + 571761*g = 0.\nAnswer: -3, 0, 63529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 16, d: 4}. Give prob of sequence udu.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 211 - ((-24 - 4) + 132).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 5\/(20\/(-16)). What is the third smallest value in -5, 1, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1123384, -2246722, -3370060, -4493398?\nAnswer: -5616736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 10010222221?\nAnswer: -10010222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -330 (base 14) to base 9\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v\/(v\/(v**11\/v))*v))\/v**(1\/3)*(v*v**1)**(19\/3) assuming v is positive.\nAnswer: v**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v. Let q be 2\/6*3*4. Let u(a) = 4*a - q*a + 0*a - 3*a**2. What is u(y(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20.7 - 24.7. Let y be ((-2)\/(-35))\/(1\/5). What is the second smallest value in w, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**3 + 27*v**4 + 0*v**3 - v**2 + 21*v**4 - 4*v**4 - 10*v**3 as s*v**2 + o*v**4 + d*v + g*v**3 + m and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 175837291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 6:06 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -253441, -1016384, -2287955, -4068154?\nAnswer: -6356981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a806 - -10?\nAnswer: -a7b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 107, 221, 339, 461, 587?\n\"Answer: 2*g**2 + 108*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mim when three letters picked without replacement from {t: 2, x: 1, l: 6, m: 7, i: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 239 - 167. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*z**3 + 578*z - 16 - 578*z - 3*z**3 with respect to z.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 84416 and -1.23.\nAnswer: 84414.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8032.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zqz when three letters picked without replacement from {q: 2, z: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -0.14, -0.1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/8*(1 + 2\/(-6))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2965868.\nAnswer: 2, 741467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110101 + 11110?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28\/7471 + 28444057\/522970. Let b = -3641 - -17962\/5. Let x = m + b. Calculate the common denominator of 5\/2 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-7)\/q**(1\/10))**28\/(((q*q**(-5))\/q*q*q**(-2\/11))\/((q**(-4)*q)\/(q**6*q))) assuming q is positive.\nAnswer: q**(-11254\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/8510 and -1\/444.\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -5*z**2 - 4*z - 4. Let o be 5*((-24)\/(-10) - 2). Let g(y) = -2*y**2 - 3 + y**o - 3*y**2 - 2*y - y. What is -3*d(x) + 4*g(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/15  (b) -59  (c) 0.1  (d) -26  (e) 1  (f) 0.522  (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -13*f - 11. Let j(l) = 6*l + 5. Suppose -1 = -2*x - 7, 0 = 5*q + 3*x + 29. Give q*v(u) - 9*j(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 12. Let j be u(10). Suppose 0 = -4*i - i - 4*d + j, 3*i - 4*d + 6 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17.514 - 90.514. Put -2, -2\/3, 4\/3, z in descending order.\nAnswer: 4\/3, -2\/3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -28*g**2 - 133*g + 46. Give l(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 - 14. Suppose 5*s - n = 5*b, 2*s - 23 = 4*b + b. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -158*j + 78*j + 1120 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**4\/24 - x**2. Solve z(o) = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j*j**(-1\/4))\/j*j)**8*(j\/j**1)**(-42)*(j\/(j**(1\/6)*j)*j\/(j*j\/(j\/j**(-2\/3))*j*j))**25 assuming j is positive.\nAnswer: j**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 1, -4355, 2, 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*w + 2198 - 2414. Suppose 0 = 3*q - m - 679, 2*q = -3*q - m + 1121. Calculate the highest common factor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3795672 and 17897944?\nAnswer: 14216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 50554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 + 16. Which is the closest to -0.1?  (a) 1  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -12  (c) 12\/17  (d) -5  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of -2*a**7\/105 - 17*a**3\/6 - 20*a**2. What is the derivative of w(p) wrt p?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5384 less than 0.3?\nAnswer: -5383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - j - s = 7, -3*s - 11 = 2*j. Let g be (-2)\/(-6) - 14\/(-3). Which is the closest to 0.03?  (a) j  (b) 1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 21, -56, -193, -396, -671?\n\"Answer: -h**3 - 24*h**2 + 2*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p + 187*v - 189*v - 16 = 0, -2*v + 0 = 2*p + 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*a - 21 = 37 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -i + 4*p, -4*i - 4*p + 340 = i. Let x = 67 - i. Suppose -2*o - 137 = -3*d, -162 = -x*d - 2*o - o. Calculate the remainder when d is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2955 + 2929. Which is greater: y or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -6*j**2 + 9*j + 51. Give l(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 424 by 34501.\nAnswer: 424\/34501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3208163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11000033 - 0?\nAnswer: -11000033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8103512 - 2?\nAnswer: -8103514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 18*a - 4. Let g(s) be the third derivative of s**4\/24 - s**3\/6 - 219*s**2. Determine -6*g(c) + o(c).\nAnswer: 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 65*l**8\/56 - 71*l**4\/12 + 4*l - 8. What is the third derivative of t(q) wrt q?\nAnswer: 7800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3615237 - -4449.\nAnswer: 3619686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (15 + -17)) + (2 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 26689*l - 26689*l + 170*l**2 in the form y*l + c*l**2 + s and give c.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.6 + -4. Let g = 143\/6 + -49\/2. Let w = 0.34 + -0.04. Which is the smallest value?  (a) p  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 - 5*j - 15. Let u be f(8). Let y(q) = 3*q + 5. List the prime factors of y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z - 22 = -0*z. What is the units digit of 2 - ((1 - z) + -69)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 5*a + 3. Let d be i(-4). Let y be ((-3555)\/10)\/((-7)\/2). Let s = -101 + y. What is the smallest value in 0.4, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-80)\/(-16)*43\/(-4085))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 q, and 1 u when three letters picked without replacement from wuwwwwwwplwpuwwq?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18847250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m + 366 - 70 = -133. Sort -4, -3, m, 0, 8 in descending order.\nAnswer: m, 8, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13279483 is divided by 2870?\nAnswer: 2863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 266 - 262.4. What is w rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -815*l + 816*l. Solve l = -26*w + 20*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12190022 divided by -26\nAnswer: 468847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j - 31975 = -32063. Let h = -8 + 8. Put 1, -5, h, j in ascending order.\nAnswer: -5, h, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10655, -21275, -31849, -42365, -52811?\nAnswer: -63175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74315.8 + 74316. Suppose -3*w = q - 32, 0 = -0*q - 3*q + 3*w + 60. Let j be 0 - (-21)\/q - 1. Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -278, 0.144, -0.2?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25219461 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}