{"text":"Question: Expand (2*v - v + 0*v)*(2 - 2 + 2*v**2) - 2 + 2 + v**3 - 3*v**3 + v**3 + 0*v**3 + ((-14 - 26 + 12)*(-5*v**2 + 2*v**2 + v**2) - 4 + v**2 + 4)*(-v - 3*v + 2*v).\nAnswer: -113*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-268 + 294 - 421)*(1 - 3 + 16*h + 2).\nAnswer: -6320*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1140)\/(-570)*(-2)\/(-32)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-16*(-38)\/4)\/((-53564)\/(-13391))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 3*o - o + (2*o - 4*o - 3*o)*(-2 + 5 - 1) + (1 + 2 - 1)*(2*o + 0 + 0))*(2 + 3 - 4).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/666 and 63\/2402632.\nAnswer: 21623688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13987740.\nAnswer: 2, 3, 5, 13, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 - 110*w**2 - 14*w + 819. What is j(55)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*j**3 + 117*j**3 - 16*j**2 - 9 + 5.\nAnswer: 3*j**3 - 16*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**5 - 1669*j**4 - 235351*j**3 - 7152655*j**2 + 119593064*j - 112203388 = 0. Calculate j.\nAnswer: -1517, -82, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5504 is divided by 1372.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -r - 134 - 3653, 0 = p + r - 1895. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**7\/(f\/(f*f*f**2*f)*f*f)*(f\/(f*f**(2\/119)\/f)*f)\/f**(-23) assuming f is positive.\nAnswer: f**(4044\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 - 2\/8*4*1. Solve t*f - 8 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 177*c**3 - 496264235 - 6945*c**2 - 172*c**3 + 2908592*c - 1038700*c + 1345643*c = 0. Calculate c.\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 3) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, -1, -15, -35, -61?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 405*w**2 + 3263*w + 34490. Give v(-397).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*c - 362880 = 262665. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = a - 3, 0 = -7*t + 4*t - 3. Solve -a*p + 3 = 19, 3*p + 12 = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 4*c = 6841, -z + 959 = 5*c - 386. Is 29 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 152 - 145. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n\/(n**(2\/3)\/n))**(8\/5))**(-2\/45)\/(n**(-2\/7)\/(n\/n**(-1\/5))*n**(-5)*n\/(n\/(n*n*n*n**(-4)\/n*n))) assuming n is positive.\nAnswer: n**(34586\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107 + -110.02. What is j rounded to 1 decimal place?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -5*o + 1. Let z(t) = -6*t. Let w(g) = -4*d(g) + 3*z(g). Let l(q) = -6*q + 5 + 3*q + 0*q. What is 4*l(k) + 5*w(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d**3 - 6*d + 7 + 6*d**2 + 1 - 1. Let y = -2297 + 2291. Let h(s) = -2*s**3 + 5*s**2 - 5*s + 6. Calculate y*h(a) + 5*i(a).\nAnswer: -3*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (0 - (-3 - -2))\/(152\/(-32))\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12 + -3. Suppose -34 = -5*j - z. Suppose 5*w - 3*y - 69 = 0, -5*w + 0*w - j*y + 45 = 0. Calculate the common denominator of w and 101\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213*x - 1226391 = -8786*x - 4614*x for x.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 28\/1)*(-1)\/20?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 7278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-one quarters of a milligram in micrograms?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3669413464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2930 - 266 = -5*t, 3*t + r = -1595. Let a = t + 529. Let f(j) = -j**2 - 5*j - 2. What is f(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.14, -3\/22, 2.\nAnswer: -3\/22, 2, 2.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.14 - -8.86. Let j = 11 - h. Let v = 1 - 1.1. Which is the third smallest value?  (a) v  (b) j  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 8:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of -9233*y**5\/60 - 7073*y**4\/24 - 141*y**2 + 8*y. Find the second derivative of g(h) wrt h.\nAnswer: -18466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 3:16 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/6*(-15 - 0). Let z(g) = 2*g**2 + 8. Let j(w) = -w**2 - 5. What is d*z(t) + 8*j(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -637681, -1275367, -1913053, -2550739?\n\"Answer: -637686*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-2)*((-23340)\/(-975) - 24)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 83*t**2 - 9*t + 17. Let z(p) = -2*p - 44. Let v be z(-22). Let l be -1 + -1 + 3 + v + 1. Is y(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34.8 + -35. Let f = 2236\/153 - 131\/9. What is the closest to f in a, -4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 21*u**4\/4 + 425934*u**3 - 4624551*u**2\/4 + 1216995*u\/2 = 0.\nAnswer: -81133, 0, 5\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -68*f + 8. Let a(s) = -4*s. Give -11*a(q) + r(q).\nAnswer: -24*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 815175 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from qeeqqqqqee.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 12*x - 8*x - 3948 = 0, -4*p - 5*x = -15759. List the prime factors of p.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28756 (base 9) in base 11?\nAnswer: 13783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -205, -1958, -6813, -16324, -32045, -55530, -88333, -132008?\nAnswer: -188109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-14) + 15485\/(-2282)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2 + 0.3. Let z = 16 - 15.3. Let f = z - -3.3. Are v and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 84855003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 992 = r + 9*k, 2962 = 3*r - 5*k. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 5 - 21 - ((17 - 27) + 22)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3974*t**2 - 1988*t**2 - 1998*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-116)\/(-36) + (-4)\/18. Let u(t) = 3 + 6*t**2 + 0*t**2 - t**2. Let q(y) = -12 - 4 - 29*y**2 + 3*y**2. Calculate f*q(r) + 16*u(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**2 + 6256913 - 6256913.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/((-25)\/(-15)*(-2)\/20). Suppose -380 = i*j + 7*j. Let c(d) = d**3 + 21*d**2 + 19*d - 26. What is c(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*x + 36, -4*x + 0*x - s + 42 = 0. Let h be 1 + 1\/((-2)\/(-2)). What is the greatest common divisor of x and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/557 at most as big as 0.1743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232328*u + 232390*u - 464708*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -152, -302, -456, -620, -800, -1002?\n\"Answer: -g**3 + 4*g**2 - 155*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26848369 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -l + 5*a, -11 + 3 = 2*a. Let p = -2 + l. Factor -r + r**2 - p - 2*r - r**3 + 1 + 4*r.\nAnswer: -(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, j: 6, l: 3, w: 1, t: 1}. Give prob of picking 1 j, 2 l, and 1 t.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q = -102 - 246. Let o = -56 - q. Solve 0 = 2*d - o*y + 2, -3*y - 5 = -2*d - 8*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -107 - -203. What is the highest common factor of a and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66636 = -2*q - 3*t - 66646, -q + 3*t = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 213345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2287, 2307, 2337, 2377, 2427, 2487, 2557?\nAnswer: 2637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 3. Let c be j(6). Let n = 45 - c. What is the units digit of n\/60 + (-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 8:16 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3a - 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/(-50) + (-606)\/(-10). Calculate the common denominator of 20 and 0 + 1\/(d\/(-9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1232527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -324, -0.5, 1001 in decreasing order.\nAnswer: 1001, -0.5, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/4*m**3 - 7\/4*m**4 + 5\/4*m**5 + 0*m + 3\/4*m**2.\nAnswer: m**2*(m - 1)**2*(5*m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1028 by 514.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -42, -25, -0.5, 5, 8\/3.\nAnswer: -42, -25, -0.5, 0.3, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -5*k - p + 350, -70 = -k + 5*p. Let h(c) = -21*c - 25*c - 22*c + k*c. Let x(j) = -247*j. Determine h(x(r)).\nAnswer: -494*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.2445142 kilograms?\nAnswer: 244514.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.026 and 93021.\nAnswer: 188460.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125002 is divided by 2551.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 72793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 221, 348, 491, 656?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/25)\/((-90)\/150)*(-170)\/14?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3501 + 3500.93. Which is the fourth smallest value?  (a) 0.1  (b) 6  (c) p  (d) -0.3  (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 273*s - 277*s = -3*k + 4, -4*k - 3*s - 3 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**5\/5 - 378*f**4\/5 + 3888*f**3 - 29160*f**2.\nAnswer: 2*f**2*(f - 90)**2*(f - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 - 0. Let w be (l - -7)*4\/(-70). Sort -5, -0.2, w in increasing order.\nAnswer: -5, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58 and 3132.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11c + -13?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -279 - -281. Let g be 16\/7 - (-4)\/(-14). Factor -w**4 - 2*w + 0*w**4 - g*w**5 + 9*w**4 - 12*w**3 + 8*w**n.\nAnswer: -2*w*(w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -d + 3. Suppose 2 = r - s, -2*r = -7*r + 3*s + 16. Suppose u + 6 = -2*l + 16, -20 = -4*l - r*u. Solve 0*o = -5*y - 3*o - 27, d*y = l*o + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 927 a factor of 8458121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -652 = -196*i - 1044 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from qqquu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r + 0*r - 3*r)*(187 + 163 + 103) as h + a*r and give a.\nAnswer: -1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 27, -16*b = -13*b + 5*u + 296129955. What is b rounded to the nearest one million?\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -612371.9 + 17370366\nAnswer: 16757994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1331370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 9:19 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 296 = 2*i, -4*i - i - 4*n + 670 = 0. Suppose 7*p - 2*p + 345 = 0. Let r = p + i. What is the highest common factor of r and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -57\/40735 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -1823*v**2 + 10*v + 2097. Let h(c) = -3647*c**2 + 25*c + 4194. Let g(j) = 2*h(j) - 5*r(j). Differentiate g(n) with respect to n.\nAnswer: 3642*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 135243 (base 7) to base 3.\nAnswer: 1022110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**3 - 2*c + 1. Let s be u(1). Solve s*j + 3 = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from txtxvpxxpvvx. Give prob of sequence tx.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 10*r - 6. Calculate p(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103\/474 + -4\/79. Let s(w) = -5*w**3 + w**2 - w + 1. Let f be s(1). Let z be ((-1)\/(-18))\/((-1)\/f). Sort z, 1\/2, j in decreasing order.\nAnswer: 1\/2, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000181506 to seven dps.\nAnswer: -0.0001815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-9225)\/(-198))\/(-41)*(-67)\/335\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 2:49 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*o - 5*o. Suppose o = s - 13. Let g = s - 11. What is the lowest common multiple of g and 17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/49 + (2 - 48\/(-28)). Solve 4*t - g + 15 = 0, 5 = 5*t - z*g + 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1329329 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232*v - 119992 + 2*v**2 + 240028 - 4*v**2 - 120036.\nAnswer: -2*v**2 + 232*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 640.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (12\/(-14))\/((-189)\/882). Let i(r) = 5*r**3 + 7*r - 11. Let k(h) = 3*h**3 + 4*h - 6. Give q*i(u) - 7*k(u).\nAnswer: -u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -580 = 73*d - 69*d. Let f = 189 + d. Solve -13 = 3*c - 5*m - f, 0 = 5*c + 3*m + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8583*s**3 - 2*s**2 + 1732*s + 357867539.\nAnswer: 25749*s**2 - 4*s + 1732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -1. Suppose -4*v + s*r = -146, 2*v + 2*r = -3*r + 55. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 86220, -4, 1, 0 in decreasing order.\nAnswer: 86220, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 477 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1031*z**3 + 5*z**2 - 452 wrt z.\nAnswer: -6186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s. Let k(q) = q. Let d(x) = 4*x. Let z(o) = 3*d(o) - 14*k(o). Let g(l) = -2*l**3 - 42*l**2 - 39*l + 18. Let b be g(-20). Determine b*z(j) - 3*t(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 4.701971 millimeters?\nAnswer: 0.4701971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 757484280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6432)\/(-335) - 24)\/(6\/20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - 0.6. Let z = -65667.4 - -65667. Which is the closest to 10?  (a) o  (b) -4  (c) z  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15\/2*z - 21\/2*z**3 - 33\/2*z**2 - 3\/2*z**4 + 0 = 0. What is z?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 259249, 259252, 259255, 259258, 259261, 259264?\n\"Answer: 3*j + 259246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*x + 2 - 2)*(-11*x + 67 - 67)*(-x**2 + 2*x**2 + 0*x**2) to the form q*x**3 + n*x + y*x**2 + i*x**4 + s and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 49*r - 1. Give k(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**2 - 4*k - 7. Let p be 14\/2*-1 + 4. Let y(l) = 4*l**2 + 9*l + 15. Give p*y(t) - 7*x(t).\nAnswer: 2*t**2 + t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -0.3. Let d = 214332 + -214320. Let s = 0.3 + 0.2. Put s, p, d in decreasing order.\nAnswer: d, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pmk when three letters picked without replacement from brpikirbrmmr?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/(11550\/(-120)))\/(((-8)\/147)\/4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z - 3*m + 1, 3038*m - 15 = 3041*m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 7*g + 26*g - 3*g - 12*g - 18.\nAnswer: 17*g - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99) + sqrt(99) + sqrt(99)*3*-6 + -5*(sqrt(99) + (-3*sqrt(99) - sqrt(99)) + sqrt(99)) + sqrt(99))\/((-3*sqrt(81)*2)\/sqrt(9)*-6))**2.\nAnswer: 275\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4863 + -2364. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 3*b - 26, -2*s = -0*b - 5*b + 2. Solve -p + s = 2*q + 2*q, -5*q + 5 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.54 - -11.84?\nAnswer: 13.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -6*b. Let u(x) = -11*x. Let h(j) = -5*n(j) + 2*u(j). Let a(y) = 704*y - 1613*y + 900*y. Determine h(a(v)).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 9, -3\/7, -2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**0)*f)**(-2\/41)*(f**(-2\/27)*f)\/f*f**(1\/4) assuming f is positive.\nAnswer: f**(563\/4428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 0 - -6)*32\/64.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 7, e: 2, m: 4, k: 1, n: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1863141 and 266163?\nAnswer: 1863141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*s - 11*s**3 + 22*s + (0*s**2 - 2*s**2 + 0*s**2)*(2*s - 2*s - s) - 15*s**3 - 24*s + 24*s to the form n*s + v + d*s**2 + z*s**3 and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(-5 + 4) - -4. Suppose 4*d = 21 - 5. Let r = d - y. Sort -5, 5, r in decreasing order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222840*a - 222845*a - 222859*a + 668497*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -24, -27, -26, -21?\n\"Answer: 2*q**2 - 9*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 - -18.5. Let y = -26 - -50. Let m be y\/18 + -3 + 1. Which is the closest to m?  (a) -5  (b) x  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-59 - -1)*24\/(-48). Suppose -m + 112 = -l - l, 2*l - 352 = -3*m. What is the highest common divisor of m and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -31.3927.\nAnswer: -24.3927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + -35 - -46)*(0 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r. Let a(z) = 7*z + 1. What is a(b) - i(b)?\nAnswer: 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 214178883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 - (38 - -25) - ((-12)\/(-16) + 1396\/(-144))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111101 + -100?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 AM and 11:16 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 15 = 5*j. Suppose 4*k - 468 = -4*q, -3*q - j = -3*k + 336. Let g = k - 52. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 3*m + 3. Let n be g(3). Suppose 4*w = 2*z + 19 + n, w + 11 = -5*z. Suppose 18 = w*l + 2. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4684200 to the nearest 100000.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -16\/115?\nAnswer: -16\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 21*l**5\/20 - l**4\/6 + l**3\/2 - l**2 - 5*l + 4. Let u(s) be the first derivative of f(s). List the prime factors of u(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5080897 * -0.1\nAnswer: -508089.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 72 - 70. Let g be -1 + 2 + 3 + -4 + w. Solve 16 = -2*x - g*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 113 * 13\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -61*b**3 + 148*b - 31249 wrt b.\nAnswer: -183*b**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1140204, -1140203, -1140202, -1140201, -1140200?\n\"Answer: s - 1140205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 411 - 63. Calculate the remainder when b is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2*(-12)\/15*1*-2 and 71\/66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -5*r + 105 + 45, 0 = -7*h - 0*h - r + 42 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -3. What is the smallest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-38088)\/276*(5\/(-2) + 1). What is the closest to x in 0.5, -0.4, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010010110011 (base 2) in base 7?\nAnswer: 21310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 120 - 114. Suppose 0 = -8*f + u*f - 334. Do f and -167 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2507 (base 11) to base 3\nAnswer: 11111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 5, -25, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 11:44 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 1802 + 133*f**3 - 136*f**3 + 115*f - f**2 - 1801 in the form k*f**3 + c*f**2 + x + m*f and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 13 = a + 3, -a = -5*k. Suppose -2*l + 11 = k. Let u(c) = c**3 + 2*c**2 - 11*c - 3*c**2 - 3 + 13*c - 4*c**2. What is u(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 2) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -181.721931 and 45.\nAnswer: -136.721931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4.69*-0.5.\nAnswer: -2.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -27520866 - -3?\nAnswer: -27520863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - y**2 - 3*y - 2. Let l be w(-3). Let r be (-1 - -3)*1400\/112. Do l and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 240 = -3*v. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, f: 4}. What is prob of sequence fmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 781 and 42801?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1422*l = 416*l + 744*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w**3 - 16*w**2 + 25*w + 149. Determine v(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3)*(-58423*r - 102*r**2 + 58424*r - 245*r**2).\nAnswer: 347*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -9552.9 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 141 + -146. What is the third smallest value in s, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -7. What are the prime factors of (1 - -4) + 1*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**2*h**2*r**3 - 4*a**2*h*r**3 + 7*a**2*h + 809*h**5*r + 2*h*r**3 + 2*r**3 wrt h?\nAnswer: -4*a**2*r**3 + 16180*h**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x + 50 = -62*x + 281. Let i be -1*1 + 0 + 1. Solve i = z - u + 2, x*u + 4 = 4*z + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - (-5 - 78)) + (-33 - -26)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0118145 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5578?  (a) 4  (b) -2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bddddbbbbdddbw. What is prob of sequence wdb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.4  (b) -0.1  (c) 0.011  (d) 0.21  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 207 divide 18025300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64233163.\nAnswer: 439, 146317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of y**7\/1260 + y**6\/720 - y**5\/120 - 5*y**4\/12 - y**2. Let d(x) be the second derivative of i(x). Calculate d(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of -53*j**6\/15 - 44*j**2 - 91*j. Differentiate p(u) wrt u.\nAnswer: -424*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8 - (-1 - (-2)\/2) and (3\/(-90))\/((-101)\/13332)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12, 37, 78, 135, 208, 297?\n\"Answer: 8*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5.31 + -1.8\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -4*g**3 - 3*g - 20. Let l(b) = 3*b**3 + 3*b + 17. What is -5*l(d) - 4*m(d)?\nAnswer: d**3 - 3*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {j: 1, m: 6, a: 2, l: 3, x: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1504\/(-6912)*-225 + -49.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 7*s - 1. Let f be k(2). Let y = -9 + f. Let v(l) be the first derivative of l**2\/2 + 4*l + 111. Let r(n) = -n - 4. What is y*v(m) + 5*r(m)?\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000063483 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 8:32 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 771 + 398. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 8*f. Let b(w) = 648*w + 1. Determine l(b(r)).\nAnswer: 5184*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -15*w**3 + 13*w - 23. Let v(o) = -7*o**3 + 6*o - 11. Calculate 13*v(a) - 6*z(a).\nAnswer: -a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2732 and 1588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqsgegseq. What is prob of picking 1 e and 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 + 104*j. Let n(b) = 2*b. Give g(n(q)).\nAnswer: 8*q**2 + 208*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312743991?\nAnswer: 3, 7, 14892571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 6. Let j(i) = i**2 + 2. Let t be j(h). Suppose -4*y = -2*y - t. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -93, -123, -153, -183, -213, -243?\n\"Answer: -30*a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 4 - 4*h**4 + (-4 + 2*h**3 + 4)*(-11*h - 5*h + 21*h) to s + y*h**3 + l*h**2 + f*h**4 + c*h and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 divided by 1166?\nAnswer: -32\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 3:47 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2505757061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 8 = 3*u. Let o(h) = -7*h - h**3 - 17 - u*h**2 + 13 - 4*h**2. Give o(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15066\/35 - -2153\/5. Which is the second smallest value?  (a) -1.2  (b) -0.2  (c) g  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -59, 4.9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - -5. Let g be (16\/10)\/(12\/m). Factor 0*i**2 + 1\/2*i**3 + 1\/4 - 1\/2*i - 1\/4*i**g.\nAnswer: -(i - 1)**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9562079693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*k + 5*f, 5*k + 2*f = 17. Suppose 0*o + 2*o + 4 = 2*a, -k*a + 18 = 3*o. Suppose a = -g, 3*w + 2*g = -w + 250. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11256 is divided by 139.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -9*l**3 + 183*l**2 - 237*l + 57. Let q(m) = -m. Let t(n) = o(n) - 6*q(n). Factor t(r).\nAnswer: -3*(r - 19)*(r - 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of 1\/3*h**3 + 0 - 6*h + 0*h**2. Let j(y) = 28*y**2. Give i(j(g)).\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*o - 5*u, -5*o + 8 = -2*u - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -31. Let l(w) = -11*w**2 - 9*w - 2. Let k(y) = -y - 1. Let a(v) = n*l(v) + 2*k(v). Find the second derivative of a(q) wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15*3\/(-15))\/4*40\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 p, and 1 l when three letters picked without replacement from {q: 2, l: 1, d: 3, m: 2, p: 3, k: 1}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 32\/3?  (a) 2\/5  (b) -1.7  (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 375559.5cm?\nAnswer: 3755595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, m: 5}. Give prob of sequence sm.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2. Let z(x) = 3*x**3 + 2*x - 1. Let d be z(1). Suppose 0 = -d*q + 1 + 7. Let k(u) = -4*u**2 + 2*u - u**2 - q*u. Give k(a(i)).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5570397.4 and -869.397.\nAnswer: 5569528.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 9:13 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 5*l + 9 = 0. Let j be 17\/l - (-10)\/(-45). Which is the closest to -0.2?  (a) j  (b) -2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 1\/10, -5, 1, -46?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 0)*(-3 + 0 + 5)*(-2*h**4 + h**4 + 0*h**4).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5829619, -11659245, -17488871, -23318497, -29148123, -34977749?\nAnswer: -40807375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(4\/7))**27*(t**(4\/7))**30 assuming t is positive.\nAnswer: t**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9 + 8 - 4*d**3 + 8*d**3 - 7*d**3 wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*-4*(3\/2)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 14376*q**2 + 6*q**4 - 2*q**3 - 11*q - 28746*q**2 + 14370*q**2 as t + b*q**4 + l*q**3 + s*q**2 + x*q and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/2*16\/(-28). Suppose 4*z = -2*f - z + 62, -5*z - 62 = -m*f. What is the remainder when 120 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 8 = 3*c, 0 = 4*r - 3*c + c - 16. Let h(x) = -r*x - 2*x + 7 + x + 4*x. Give h(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 754, 7133, 24662, 58915, 115466, 199889, 317758?\n\"Answer: 929*n**3 + n**2 - 127*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 0.96. Let v = 124 - 125. Which is the smallest value?  (a) v  (b) j  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36235295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46.0443 + 46. Let m = y + 0.04246. Round m to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 0*p - p**3 - 4*p**2 - 1 + 4*p + 2. Let l = -25 - 452. Let v = -482 - l. Calculate c(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2013*o + 13570 = 979*o + 916*o for o.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 224 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3*p = 21. Suppose 19 = 5*l - 3*n + p, -5*l - n + 8 = 0. Let w be ((-5 - -8) + l)*-1. Which is the biggest value?  (a) w  (b) 1  (c) 0  (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-56)\/12 - 4)*(6 - 9). Suppose 7*c - v - 9 = 0. Suppose -15 = -4*f - 5*z, -2*f + 4 = 3*z - 5. Sort 3, f, c, -2 in increasing order.\nAnswer: -2, f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 846297162 to the nearest integer?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) + 1)*5 - (sqrt(72)\/sqrt(3))\/sqrt(8))**2 - (-1 + sqrt(9)\/(sqrt(3) + -5*sqrt(3)*-3)).\nAnswer: 639*sqrt(3)\/16 + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -27 + 15. Let g(b) = 8*b**2 - 1. What is the remainder when g(u) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 4*h**2 + 4*h - 4. Let f be k(-5). Suppose 0 = 3*z + 4*p - 161, -19 = 5*p + f. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(sqrt(136) + -1*sqrt(136)) + (sqrt(136) - 2*sqrt(136))*-6)*5)\/(-5*-1*-3*sqrt(72)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/8*24\/(-9). Calculate the greatest common divisor of 16 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j**3 - 8*j**2 - 4*j - 13. Let d(p) = -4*p**3 + 9*p**2 + 5*p + 12. Give 4*d(h) + 5*y(h).\nAnswer: -h**3 - 4*h**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30 by -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439984 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**2 + z**2 - 3*z**2)*(-z**2 - 3*z**2 + 5*z**2) + (-4*z**3 + 4*z**3 - z**3)*(-z - 2*z + 0*z).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 4*d - 60. Suppose -3*j - 5*l = -64, 0 = 4*j + 3*l - 4*l - 116. What are the prime factors of k(j)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3, 5, -2\/3, 17\/3, -1\/4 in decreasing order.\nAnswer: 17\/3, 5, 3, -1\/4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -248 at most as big as -987\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 7137, 14224, 21331, 28464, 35629, 42832?\n\"Answer: g**3 + 4*g**2 + 7068*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/558)\/(5*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**4\/9 - 7*f**3\/9 + f**2 + 5*f - 5. Let k(a) be the first derivative of m(a). Factor k(g).\nAnswer: 2*(g - 3)*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**3 + 16088*b**2 + 112812*b = 0 for b.\nAnswer: -7, 0, 4029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0574352 rounded to four decimal places?\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 77 + -76.6. Which is the closest to 1?  (a) 1  (b) k  (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -92.82 and 0.1.\nAnswer: -9.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 18*c + 15. Let n(f) = -3*f. Let z(m) = -3*i(m) - 21*n(m). Let h be z(6). Let k(x) = 2*x**2 - 17*x - 5. Let t be k(h). Solve -t*w - 2 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23960 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 123486 divided by 7.\nAnswer: 123486\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 24\/(-18)*(-18)\/8. Let g(u) = -6*u - u**d - 8*u**2 - 2675 - 2671 + 5361. Give g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 8306 = -3199. Calculate the greatest common divisor of 30 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2329\/4039 - 108\/189. Let f = -748877670 + 6049433804947\/8078. Let c = f + j. Calculate the common denominator of c and 33\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 17 = -d, 2617 - 2569 = 2*d - o for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 192 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, 2, 3, 7019, 0, 22 in increasing order.\nAnswer: -57, 0, 2, 3, 22, 7019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 78\/21 - 2\/(-7). Let b = 1 + s. Find the second derivative of n + 4*n - n**b - 6*n wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 68718.79ng?\nAnswer: 68.71879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34918 and 1989.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -5*m + 2. Let r(o) = -1. What is -2*r(f) - s(f)?\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 17811582 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 6)*(-7*i**3 + 11*i**5 + 7*i**3) + 2*i**5 - 2*i**5 - 3*i**5.\nAnswer: 74*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/10, 0.4, 32 in increasing order.\nAnswer: -1\/10, 0.4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1090301418?\nAnswer: 2, 3, 71, 284377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 2, 1, -20 in decreasing order.\nAnswer: 12, 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 4 - 1)*(8*m**2 - 6*m**2 - 23*m**2) - 2*m - 2*m**2 + 2*m)*(-2*m**2 + 3*m**2 - 3*m**2).\nAnswer: 46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4665531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 15351.55 nanometers?\nAnswer: 0.00000001535155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/72)\/((-41)\/(-246)). Sort -0.13, k, 15 in descending order.\nAnswer: 15, k, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70.35?  (a) -2  (b) -0.4  (c) -5  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 8\/(-3) + 2*2\/6. Let m(w) = w**2 - 4*w - 2. Let p be m(u). Calculate the greatest common factor of 70 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, -0.3, 2\/9, -2\/19, -376?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 5*z + 25 - 31, 5*z = 3*x - 24. What is the third smallest value in 5, x, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 200 - 143. Suppose -w = z + z - 45, -g = -3*z + 2*w. Let v = z + -10. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 72 and 69128456?\nAnswer: 622156104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 4)*(-4 - 2 - 1)*(26*m**3 + 5959 - 9*m**2 - 5959).\nAnswer: -364*m**3 + 126*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 80\/567 and -94\/7695.\nAnswer: 53865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - n + 7 = -3*h, -h - n + 3 = 0. Let x(c) = 7*c + 1. What is the units digit of x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1170 by -18.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5\/5 - 20*t**4 + 716*t**3\/5 + 184*t**2 - 718*t\/5 - 164 = 0. What is t?\nAnswer: -1, 1, 10, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - 28394265750\nAnswer: -28394265750.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 195.19 + -0.19. Let z = i + -304. Let r = 108.99919 + z. Round r to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-32)\/(((i**14\/i)\/i)\/i) assuming i is positive.\nAnswer: i**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24874\/297 + -2276\/27. Let w = -6.4 + 6. Which is the closest to 1\/2?  (a) h  (b) -4  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(65) + sqrt(65))\/sqrt(5) - ((sqrt(208)\/sqrt(4) + sqrt(52))\/sqrt(4))**2)*4 + (1 + sqrt(3328))*4.\nAnswer: -204 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r + r**2 - 2*r**2 - 2*r + 20*r. Let x be t(12). What is the highest common divisor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iurisuifruiuuususuf. Give prob of sequence suf.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 22165 divided by 341\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*k - 11. Suppose 10 = l + 2*c, 3*c + k = 2*c. What is the greatest common factor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5051 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 125*b - 121*b + 3.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*d**3 + 2*d**2 - 26*d - 21473049*d**4 - 3*d**3 + 21473048*d**4 + 4 as f*d + o*d**4 + q*d**3 + i + g*d**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30\/(-5) + 7 - 1. Suppose c*v - 4*v - 5*f + 12 = 0, 5*f + 15 = 5*v. Solve 6 - 12 = v*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*b + 0*b - b)*(3 - 2 + 0)*(-4 - 1 + 4)*(-4 + 19 + 17) to j + c*b and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -484?\nAnswer: -484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 8*y + 3*u = 11, 3*u + 5 = -y. Suppose -y*z + 23 = 3. Suppose z*b - 29 = -4*i, -4*b + 1 = 13. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b + 1. Let j be s(4). Suppose -j*t + 43192111 = -6807889. Round t to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34977 is divided by 2427?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l + 33. Let x be k(7). Let h be (-36)\/10*(-20)\/x. Is 1*10*((-155)\/(-10) - h) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4 - 0. Let r = -2 - b. What is the second derivative of -o + 3*o**3 - 21*o**r + 21*o**2 wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 34, -1\/7, -31\/108, 0 in descending order.\nAnswer: 34, 0, -1\/7, -31\/108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, -1, 5, 0.015, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, 0.015, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -134 (base 5) to base 7.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8606.689l in millilitres?\nAnswer: 8606689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i - 9. Let x be m(-11). Suppose 0 = -2*n - d + 24, n - 3*n = x*d - 28. Solve -n = -2*v - 0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m + 6. Let g be k(-6). Differentiate 0*j + g*j + 2*j - 1 with respect to j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*c**2 - 82*c**2 - 58*c**2 + 63*c**2 to the form s*c**2 + i + d*c and give s.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1785\/1034 - 32\/47. Suppose 4*q + 7 + 5 = 0, 0 = 2*f + 2*q + 4. Calculate the common denominator of t and f\/((-80)\/(-41) + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from {w: 13, z: 3, g: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 459 = 17*k, 54 = 2*k - 13513*u + 13515*u for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 29 - (12 - 17 - -1). Solve 34*l = 45*l + n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + 2 + sqrt(200) + sqrt(200) + -1)*3 + (2 + 2 + sqrt(200) - (-1 + sqrt(200) + 0)))**2*-3.\nAnswer: -48792 - 4320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ejgwjudgwdgg. What is prob of sequence djd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 10 = -3*h. Let s(f) = 2*f**2 - 5*f - 2. Let g(k) = -3*k**2 + 4*k + 2. Let q = -203 + 207. Let l(i) = h*g(i) + q*s(i). Let z(x) = x. Give l(z(o)).\nAnswer: -7*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, g: 1}. What is prob of picking 2 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 109*k + 83 = -3*r + 77*k, -r + 4*k + 25 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 276 + -242. Solve 12 = 37*v - l*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + sqrt(3))**2 + -4.\nAnswer: -16 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -10 - (12 - (7 - (5 + -1))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -408*f + 5 + 24*f - 2 - 81*f - 1 as m*f + z and give m.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -13*g - 81. Let z be b(-6). Let u(y) = 17*y**2 + 3*y + 21. Is u(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74788?\nAnswer: 2, 7, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, x: 3, a: 1, b: 6, y: 2, e: 5}. Give prob of sequence ey.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.1664 - 0.3664. Sort 3\/31, -4, -3, a in ascending order.\nAnswer: -4, -3, 3\/31, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o - 6. Let v be (-120)\/36*((-3)\/2)\/1. What is k(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -119314, 4 in increasing order.\nAnswer: -119314, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 188 - -11?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*k + 2075207 = 3*l - 45*k, 2766960 = 4*l + 2*k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15833300 divided by 25.\nAnswer: 633332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 2 = -2*s. Let a = 10 + s. Calculate the remainder when a is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -56*y**2 + 3\/8*y**6 - 55\/6*y**3 + 0 + 0*y + 0*y**4 + 0*y**5. What is the derivative of w(p) wrt p?\nAnswer: 135*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cchch. Give prob of sequence hch.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 136296577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - k + 10 = 14, -3*y + k + 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -533514870 divided by 2905.\nAnswer: -183654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19382, -19336, -19258, -19148?\nAnswer: -19006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = 3*g - 8, -3*d - 3*g + 3243 = 0. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 12*d**2 + 365*d - 24. Let m be p(26). Let 2\/3 - 1\/6*f**m - 1\/2*f = 0. Calculate f.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 499349.2 centuries to millennia.\nAnswer: 49934.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 311.8703um?\nAnswer: 0.3118703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 103 - 103 - 10*s to f*s + m and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14798 is divided by 717.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 26 - 62 = 0. Suppose -42 = -l + o. Suppose -3*y = -3*q + l, -50 = -4*q + 2*q - 2*y. Solve 0 = 2*g - i - i - 12, -3*g = -4*i - q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {j: 7, s: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -38 - -39.9. Let c = h - 0.2. Let i = -1.772 + c. What is i rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 652, 653, 654, 655?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-134)\/(-1541) - (-2 - (-343)\/(-23)). Solve 0 = -y*b - 42 - 77 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 135*g + 31*g - 78352. Calculate the greatest common factor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -358 + 799. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**4 + 36*r**3 + 186*r**2 + 56*r - 1176 = 0 for r.\nAnswer: -7, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/4 + (-1225)\/(-2610). Let g = h - -6842\/1827. Calculate the common denominator of g and (-146)\/6 - 2\/4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 0.0226?\nAnswer: -0.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.975953 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*c - 2*c, -2*l - c = -7. Suppose 4*p = g + p - 229, 0 = -l*g + 5*p + 937. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 22.5 * 0.1.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47*f**3*r*t**2 + 17*f**3 + 127*f**2*r*t + f**2*r + f*t**2 wrt f?\nAnswer: 282*r*t**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1224, -2493, -3760, -5025, -6288, -7549?\n\"Answer: n**2 - 1272*n + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*o**5 + 117*o**4\/4 - 9*o**3\/4 - 49*o**2\/4 - 3*o\/4 = 0 for o.\nAnswer: -1, -1\/16, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -p**5\/10 - 43*p**4\/2 - 1408*p**3 - 4096*p**2 - 184*p - 1. Factor r(k).\nAnswer: -2*(k + 1)*(k + 64)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -r**6\/360 - r**4\/12 + 17*r. Let l(s) be the third derivative of n(s). Let b(v) = -3*v**2. Determine l(b(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the first derivative of -b**6\/120 - b**4\/24 - b**2 + 3. Let f(o) be the second derivative of q(o). What is the second derivative of f(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 23*i**2 + 12*i + 113. Calculate q(24).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, r: 1, d: 4, k: 1}. Give prob of picking 1 w and 2 d.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56006 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -906200 to the nearest ten thousand.\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -263381*x + 1271 = -263422*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 211, 197, 185, 181, 191?\n\"Answer: d**3 - 5*d**2 - 6*d + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in sixty-one quarters of a second?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -0.93\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s\/(s*s**(-2\/11))))\/((s\/(s\/(s*s**3\/s*s)))\/s))\/(s**(-3\/2)*s*s*s\/s**(2\/9)*s) assuming s is positive.\nAnswer: s**(-685\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = -2*j + 176. Let k = j + -45. Let o = -16 + k. Solve -14 = o*m - 4*a - 2, -3*m + 4*a - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**2\/9 + 874*b\/9 - 1724\/3 = 0.\nAnswer: 6, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(704)*4 + -2 + 5)**2.\nAnswer: -384*sqrt(11) + 45065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - -16)*(-12)\/18. Let w be m\/(-4)*(-16)\/140. What is the closest to 0.2 in w, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 582 or -1488?\nAnswer: -1488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-0.09124\nAnswer: 0.018248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v\/(v\/(v**(-18)*v))*v)\/(v*v\/((v*v*v\/(v*(v\/v**24)\/v))\/v*v)))**34 assuming v is positive.\nAnswer: v**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16270565669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 12*h**2 - 54*h - 30. What is f(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(19) + -4 - (sqrt(19) - (0 + sqrt(475))**2)) + (5 + sqrt(57)\/sqrt(3) + sqrt(19) + -2 + 5)**2.\nAnswer: 32*sqrt(19) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of x**5\/20 + 11*x**4\/12 + 5*x**3\/6 - 17*x**2\/2 + 15*x. Is 8 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3119867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32443407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 321459659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 4*o + k, -o - 5 = -4*k + 1. What is the remainder when 7 - (3 + 18\/(-6)) is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 8*u**2 - 62*u - 86. Determine i(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f - 4. Let b be n(5). What is the second smallest value in b, -0.2, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 divided by 8024?\nAnswer: 21\/4012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s*s\/s**(-1)*(s*s**(-1\/4)\/s)\/s)**(10\/3) assuming s is positive.\nAnswer: s**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1132 + 1127. Which is the nearest to 1?  (a) 0.16  (b) n  (c) 2\/9  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 5\/12*h**4 + 0*h**7 + 0 + 0*h**5 - 1\/3*h**3 + 0*h**2 - 36*h + 0*h**6 + 33\/14*h**8. Find the third derivative of v(g) wrt g.\nAnswer: 15840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11241317.\nAnswer: 103, 109139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 29872379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2db (base 14) to base 3\nAnswer: -210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 354100 to the nearest one thousand.\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 17. Let c be b(8). What is the common denominator of (57*14\/(-315))\/(2\/c) and -1\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 + 19*p + 5. Suppose 90 = -5*t + 20. Is n(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3835, -7740, -11645, -15550?\n\"Answer: -3905*j + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1312*n - 2376 = 1510*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 1. Let t(a) = a**3 + 17*a**2 - a - 16. Let j be t(-17). Let y be j\/3 - 10\/(-6) - -3. Calculate r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -23*r - 9. Let y(o) = 17*o + 6. Let p(x) = 2*i(x) + 3*y(x). Give p(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -35*q**2 + 28*q - 55. Let v be i(2). Suppose -5*t = -2*y - 3*y - 145, -3*y = 4*t - 151. Let f = v - t. What is f rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -267*x**3 - 4*x - 4. Let f(v) = 17621*v**3 + 263*v + 263. Give -4*f(k) - 263*g(k).\nAnswer: -263*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 + 161976*l - 1639764036.\nAnswer: -4*(l - 20247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -10301300130100?\nAnswer: 10301300130102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4717 - 0.5.\nAnswer: -0.0283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*p - 201 = 2*d, -3*d - p = 125. Let t = -25 + 24. Which is the third smallest value?  (a) d  (b) t  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4222)\/(-18999)*63\/658?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k + 1. Suppose z - y + 0*y = 0, -z + 5*y = 8. Let l(j) = j**3 - j + 2*j + j**z + j**2. Let p be l(-2). Calculate o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1)\/(r\/((r**5\/r)\/r)))\/(r\/(r**(-9)*r)*r**0))**5 assuming r is positive.\nAnswer: r**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -22117 divided by 102\nAnswer: -1301\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -16.3. Let l be ((-20)\/140)\/(1\/(-3)). Suppose 3*o = 10*f - 8*f - 7, -4*o - 5*f = -6. Which is the closest to -0.1?  (a) o  (b) l  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 6:14 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.3 - 0.7. Let t = x - -3. Let i = -151 + 148. Which is the nearest to 0.1?  (a) i  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -336 and -90892\/271 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 86344 times -0.2?\nAnswer: -17268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 984.8934366 to the nearest 10.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27780\/2288 + -10 + -2 + 0 and 83\/440.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4184, 7848, 13976, 22574, 33648?\nAnswer: 47204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 287569 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/7, 9, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - (2 - 6)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 2 = 3*q - 0, 4*i - 2*q = 16. Suppose -4 + 16 = 4*v. Suppose -2*y - 2*y = -i*b - 190, -5*y = v*b - 232. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 16\/3, 4\/14921, 0.5, 3?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2586877?\nAnswer: 53, 48809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 9*v - 49. What is the hundreds digit of n(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/10 + -7\/5. Which is the fourth biggest value?  (a) 3\/8  (b) -0.3  (c) 1  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9400403 to the power of 1\/2, to the nearest integer?\nAnswer: 3066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 33.746 and 83.\nAnswer: 2800.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/87563664 and -155\/26964?\nAnswer: 612945648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 2*l - 36. Let g(j) = 15*j**3 + 6*j**2 - 15*j + 8. Let u be g(l). Let a = 13212 - u. What is a rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-9) + (-4)\/18. What is the smallest value in q, -0.6, 5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 6*g - 11*g + 6, -7*f - 45 = g. Solve q - 28*w = -27*w + 5, g*q = -w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 + 2 - 9*j + 1 + 0*j**2 + 6. Let v(d) = d**2 + 5*d - 5. Let b(r) = 6*t(r) + 11*v(r). Calculate b(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -12. Let g = u - -5. Suppose -g*b = -3*h, 2 - 15 = h - 5*b. Solve -5*p + h = -3, 2*k + 9 = -p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 163 + -123. Suppose w = -5*l + 83, 0 = 3*l + 2*l - 15. Calculate the least common multiple of g and w.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663282243 to the power of 1\/2, to the nearest integer?\nAnswer: 25754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 16964820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 333539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 9*o**2 + 49*o - 30. Determine a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of -k**4\/12 + 3*k**3 - 87*k**2\/2 + 1788*k. Give g(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 6, q: 1, p: 7, f: 2, o: 1, i: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1104566\/7 - -158238. Let -32\/7 + 500*c**4 + 600\/7*c**2 + 16*c - z*c**3 = 0. What is c?\nAnswer: -1\/5, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -902, -745, -256, 751, 2462?\nAnswer: 5063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6778 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -20.083544 times -0.5\nAnswer: 10.041772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - 3. Let k = -14 - d. Which is the nearest to -2?  (a) -4  (b) 3\/2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13154 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 6*u - 3. Let y be (3\/1)\/(93\/(-341)). Let q(m) = 17*m - 8. Determine y*o(k) + 4*q(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 3*d - 17, 16 + 2 = 3*a - 3*d. Suppose -21 = j - 0*j. What is the units digit of (a\/3)\/((-1)\/j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572764400 a multiple of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1903619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4032) + 2*sqrt(4032))\/(sqrt(4) - (sqrt(4) + 5*sqrt(256))).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -36, -195, 3 in ascending order.\nAnswer: -195, -36, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the second derivative of -1\/20*k**5 + 0 + 0*k**3 - 3\/2*k**2 + 0*k**4 + 3*k. What is the first derivative of r(x) wrt x?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 10*q - 16. Let s(b) = b**2 + b - 1. Let c be s(1). Let m = c + q. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.8 in -9, 1, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + -3 - 9 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/((-2)\/12) + 2. Let v be 2*(-1 - n\/(-10)). Let y = 1 + -3. Which is the nearest to v?  (a) -0.5  (b) 2\/3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5892?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 + 102. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31379 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 -1852, -2\/5, 0, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -982.9088 + 983. Let y = 7.9088 + i. Which is greater: y or -29\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1387 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 27*p**2 + 7*p - 3. Let o(c) = 54*c**2 + 14*c - 5. Let y(z) = -3*o(z) + 5*u(z). What is the second derivative of y(m) wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 - 194*l**3 + 382*l**2 - 190*l.\nAnswer: 2*l*(l - 95)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 438 and 36?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -z**5\/4 + 40*z**4\/3 + 5*z**3\/6 - 80*z**2 + 3*z - 96. Factor k(a).\nAnswer: -5*(a - 32)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - (37 - 16)) + 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2732 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 56*u - 466. Determine s(8).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 263 divide 2013301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eppy when four letters picked without replacement from peeypepeeeppeeeeee.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 276244 - 84?\nAnswer: 276170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -14*i**2 + 7. Let o(d) = -d**2. Determine o(g(r)).\nAnswer: -196*r**4 + 196*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2300 = 248*a - 428 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*4*(-2 + sqrt(1573))*-4)**2.\nAnswer: -281600*sqrt(13) + 10092800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 - 6*b**2 + 6*b + 6. Let o be z(-8). Put 1\/6, 2\/13, o in decreasing order.\nAnswer: o, 1\/6, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -6. Let p = 5 - 3.6. Let m = 0.4 - p. Which is the third smallest value?  (a) m  (b) u  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + (-1)\/(-4))\/(9 + -6 + -1). Sort -4\/5, 2\/21, 1, 64\/7, j in increasing order.\nAnswer: -4\/5, 2\/21, j, 1, 64\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-6))\/(2\/(-12)). Suppose s = i*s. Let h(x) = -x**2 - 4*x + 5. Let m be h(-5). Do s and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 8*x**2. Let q(i) = 52908*i**2. What is g(q(l))?\nAnswer: 22394051712*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -39*g**4 + 2*g**2 - 4*g - 4. Let q(j) = -78*j**4 + 5*j**2 - 9*j - 9. Let x(z) = -9*l(z) + 4*q(z). What is the third derivative of x(t) wrt t?\nAnswer: 936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-312)\/390)\/((-52)\/10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 5:45 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 656905\/2 or 328453?\nAnswer: 656905\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27002 * 83.26.\nAnswer: -2248186.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 52841057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -874, -950, -1068, -1228, -1430, -1674?\nAnswer: -1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 126 - 116. Let t(u) = u**2 - 10*u - 9. Let f be t(11). Suppose -f*y - 16 = -l*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 19  (b) -4  (c) 4  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 45. Suppose 26 = 3*v + 5*n - 1, u = 5*v - n. Factor 3*f**3 + 3*f**v + 5*f**2 - 2*f**2 - 2*f**4 + 2*f - f.\nAnswer: f*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s + 3. Let c be k(2). What is the highest common factor of 72 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 - t**2 - 3*t + 3. Let x be f(-3). Let h be ((-2)\/24)\/(20\/x). Sort 0.4, 0.5, h.\nAnswer: h, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**1\/c))**16*c**(-2\/23)\/c**(-8)*(c**(-1\/2)*c)**7\/(c**1\/(c\/(c**6*c))) assuming c is positive.\nAnswer: c**(939\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 1. Let t(o) = 2*o**3 - 6*o. Let d(m) = m. Give x*t(i) - 6*d(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -4*u + 1194. Suppose 4*q + 3*h - 75 = u, -5*q + h + 840 = 0. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.73 + 1.074. Let k = m - -0.056. What is the closest to -1 in -2, 0.1, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/53152 and -51\/6644.\nAnswer: 53152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**7\/504 + h**6\/144 + 2*h**4\/3 + 13*h**2. Let r(n) be the second derivative of o(n). Factor r(t).\nAnswer: 5*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 15.33881 millennia?\nAnswer: 153.3881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -245*y + 35. Let f(d) = -41*d + 6. Let q(r) = 35*f(r) - 6*p(r). Let z(c) = c**2. Calculate z(q(n)).\nAnswer: 1225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 4:28 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/25*(-5)\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 56.4 and 0.1?\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (7 + -4 + (2 - -7) + -8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 7*f + 1. Let i be (448\/56 - (-15)\/(-2))*-6. Calculate m(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a4485 (base 12) in base 4?\nAnswer: -10213132211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 134 a factor of 18462654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -10*k**4 + 15*k**3 + 15*k + 20. Let w(z) = -z**4 + z**3 + z. Let m(b) = c(b) - 15*w(b). Differentiate m(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 31, 36, 41, 46, 51?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -179599\/100 - -1796. Let z(t) be the second derivative of 1\/30*t**4 - 1\/30*t**3 + 0 + 0*t**2 - 4*t - h*t**5. Find v such that z(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-71.2\nAnswer: -21.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3444, -6887, -10330, -13773, -17216?\nAnswer: -20659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 40 * -7.57\nAnswer: -302.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 101 - 248. Let b = -1899\/4 - -461. Find the common denominator of b and (-1)\/2 - m\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*c + 7*c = -39412, 2*c = 2*t + 39418. Let f = t + 41477. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 639992*f - 40. Let d be k(-5). Round d to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of k**3\/3 - 3*k**2\/2 - 4*k - 5. Calculate u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-176)\/11*((-42)\/8 + 1). Suppose -h*w + 70*w - 16 = 0. Suppose -907 = -w*i + 7*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2. Let o(d) = -4*d - 11*d + 4*d + 5*d - 18*d. Determine k(o(n)).\nAnswer: 1728*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9239 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16.4 - -16. Let m = x - -2.4. What is the third smallest value in m, -8, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 320 - 330. Let f be (-87)\/(-84) + (-6)\/21. Put l, 0, -3, f in descending order.\nAnswer: f, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 1636827594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147)*-1 - (-2 + (sqrt(12))**2)) + sqrt(216)\/sqrt(8) + sqrt(108)*-1 + sqrt(3).\nAnswer: -9*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**3 + 6*w**2 - 5*w + 2. Let q(z) = -7*z**3 + 6*z**2 - 6*z + 2. Let x(l) = l**3 - l**2. Let r(p) = q(p) - x(p). Give -7*j(a) + 6*r(a).\nAnswer: a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10465 and 0.3?\nAnswer: -3139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + (-9 - (55 - (-14 - -26))) + 4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2090 and 11880.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**7\/2940 - t**6\/315 - t**5\/105 + t**3\/6 + 4*t**2. Let q(n) be the first derivative of m(n). What is d in q(d) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 295110 from -33.\nAnswer: -295143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r - 14 + 4*r + 9695*r**2 - 9697*r**2 + r.\nAnswer: -2*r**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 44123, 88247, 132371, 176495, 220619?\n\"Answer: 44124*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (855\/(-2160)*-3*(-4)\/5)\/((-10)\/25)\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -286 + 286 + (5 + 6\/(-2))\/((-10)\/(-590))\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -9. Let w(v) = v**2 + 5*v - 4. Let g be w(m). What is the first derivative of 0*x**2 - 1 + 2*x**4 + 0*x**g wrt x?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -70*u**3 + 2*u**2 + 3*u - 27. Let b(f) = -69*f**3 + 2*f**2 + 2*f - 18. Give 3*b(r) - 2*c(r).\nAnswer: -67*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-990)\/(-16) - 21\/(-168). Let k(z) = -2*z + 4. Let a be k(7). Let h = a + p. Calculate the greatest common divisor of 78 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {f: 4, c: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1965754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001108353983 rounded to six dps?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*b + 4, 13 = -61*o + 62*o - b. Solve -10 = 15*i - o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.26301 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87.32888l to millilitres.\nAnswer: 87328.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1287215.42 to the nearest ten thousand.\nAnswer: -1290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -4. Suppose 6 = o*q - 3*g, -5*g = 2*q + 4 - 15. Suppose 3*f - 2*f + 2 = -q*h, 3*f - 8 = -2*h. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1418163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 212*h*q*s**2 + 2*h*q*s*v**2 - 7*h*s**2*v**2 + 2*h*v**2 - 233*q*s*v**2 - 2*q*s wrt s.\nAnswer: 424*h*q - 14*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 48495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 3587444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 7 = 3*r, 4*m + 13 = 1068*r - 1073*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/6330 and 161\/51528.\nAnswer: 54362040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3*v + 5. Let y = -109 - -114. Let m(g) = g + 2. Suppose -5*j = 15, -5*x - 19 = 5*j + 6. Determine x*f(b) + y*m(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27824 + 54239\/2. Let i = 703 + b. Put 0.3, 0.07, i in descending order.\nAnswer: 0.3, 0.07, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 192 - 190. Suppose 0 = -18*x - g + 722. What is the highest common divisor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10323.8 - -10324. Which is the second biggest value?  (a) o  (b) -0.3  (c) -4\/7  (d) -2.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42 + 41.997. Let g = -0.303 - h. Which is the third biggest value?  (a) 1\/8  (b) 0  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-430)\/(-165) - 7 - 7\/((-1617)\/14))*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 39 + 2cd?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 5*v - 49 = -28, 2*m - 2*v = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of u**3\/3 - 3*u**2\/2 + u - 2. Is 5 a factor of x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.022911 rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 6*i - 2. Let m be y(2). Suppose 0 = -3*n - 0*n + 54. Suppose -2*t - n = -2*z - 3*t, -m = -5*t. Calculate the smallest common multiple of z and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 6\/3)\/2 - -7. Solve -9*i + 7*i = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50317 divided by 3\nAnswer: 50317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11 and -2.4?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45 + 50. Suppose 5*j - 10 = -3*t, 6*j - 21 = -z*t + 2*j. Let k(p) = -p + 10. What is k(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17084.9 - 17085. Let d = 0.18 + 0.22. What is the nearest to -1 in d, -8, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - 0.3. Suppose -z + 5 = 4*z. Let x = 0.072 - -0.128. Which is the closest to z?  (a) -5  (b) p  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59408 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 8074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 46 (base 7) to base 4\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15 = 10. Let f(x) = -x**2 + 3*x. Let a(h) = 2*h**2 - 7*h. Let v(c) = w*f(c) + 2*a(c). Suppose v(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -1\/24*a**4 + 0*a**3 + 0*a + 11*a**2 + 0. Let u(f) = -28*f**2. What is u(g(q))?\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5*a = -38 + 1, -3*z - a + 17 = 0. Let c = z - 1. What is the nearest to c in -0.4, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 4\/9, 31, 1, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 1\/3  (c) -0.2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxjssjsxjxsjssssss. What is prob of sequence xx?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 - 18*v + 7 + 3*v**2 + 18*v.\nAnswer: -v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 26*c**3 - 2*c**2 - 13*c + 14. Give w(3).\nAnswer: 659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6264554 meters in kilometers?\nAnswer: 0.0006264554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*m = -104, -3*z - m + 52 = 3*m. Find the first derivative of -7*h**4 + 17*h**4 - 22*h**4 - z wrt h.\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128208, 512103, 1151928, 2047683?\nAnswer: 3199368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*b = -1372 - 1388 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t - 1. Let z(g) = -g. Let r(q) be the first derivative of 24 + 1\/4*q**4 + 9*q + 10\/3*q**3 + 8*q**2. Let u be r(-8). What is u*z(x) + 2*y(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2066037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o**3 + 8*o**3 - 3*o**3)*(o - 5 + 5) - o**2 + 2*o**2 + 5*o**4 - o**4 to g*o**3 + h*o**2 + s*o**4 + b*o + f and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6*(-6)\/3. Let p(j) = 14*j**2 + 2*j**2 + j**2 + 2*j - k - 3*j**2. List the prime factors of p(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = z + 8. Let y(u) = -7*u**2 - 4*u - 2*u**2 - 4 + 13*u**z - 3*u**2. Determine y(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -4) + (35 + -14 - 8) + (-26 - -34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 604733 divided by 35?\nAnswer: 604733\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1462174 divided by -2.\nAnswer: -731087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139927 is divided by 19760.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 570619.\nAnswer: 7, 81517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*(sqrt(121) - (sqrt(121) + (sqrt(121) - -2*sqrt(121))))\/sqrt(11).\nAnswer: -6*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.2, 48\/53, -1\/6, -2\/25.\nAnswer: -1\/6, -2\/25, 0, 0.2, 48\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 - 23. What is the remainder when -5*g\/(25\/5) is divided by (0 + 4)*-1*(-5)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 224 - 229. Which is the closest to x?  (a) -6  (b) 5  (c) -1\/6  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 30. Suppose o*c + 3*b + 12 = -0*b, -2*c + 3*b = -7. Is (-4 - 0\/c)*(-10575)\/180 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 44*b - 31. Is r(2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 412760 and 37027?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + d + 387 = 2*d, -4*d = 3*i - 588. Suppose -190*z = -i*z + 10. Solve -3 - 7 = -z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -96*o**3 + 2*o**2*z + z + 2464 wrt o?\nAnswer: -288*o**2 + 4*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.22 and -61.\nAnswer: 13.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of -y**4\/24 - 2*y**2. Suppose 2*p + 4 = 4*p. Let h(w) = 15*w - 15*w - 4*w**2 - 3*w**p. Calculate h(v(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let h = 9 + 2. Let q = 14 - h. Let w be 0\/1 + (-21)\/(-3). Solve -2 = 4*m + 2*b, b = m + q*b - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -267 = -4*t + 3*p, 51*t = 47*t + 5*p + 269. Let c be (30\/8)\/5*4. What is the remainder when t is divided by (3\/c)\/((-1)\/(-17))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222 + 19*p + 222.\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/(-16)*-2)\/(2052\/16416). Is -128\/85 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 337, 675, 1013?\n\"Answer: 338*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 12*m + 42. Calculate w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + 100?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.134582 - -2089.\nAnswer: 2088.865418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*q = 3*x + 66*q + 7, 2*q + 1 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/6)\/((-6)\/18). Suppose 0 = -l - v + 9. Suppose -3*m - 38 + 363 = -4*f, 5*m - l*f = 550. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, o: 5, q: 2, c: 2}. What is prob of sequence cc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -200 + 201. Calculate the common denominator of (d\/((-1)\/65))\/(28 - 22) and -52\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 4*l - 19. Let b be c(6). Suppose 0 = o - b*s + 26, 0 = 3*o - 5*s + 15 + 13. What is the units digit of (360 + o + -3)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 216 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11822 or -400?\nAnswer: -400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -119 (base 12) to base 7.\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (11\/(-2) + 1)\/((-372)\/744). Let l(v) be the second derivative of 1\/4*v**5 - 5\/6*v**3 + 0*v**4 + 0*v**2 + j*v + 0. Factor l(d).\nAnswer: 5*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/((h\/(h*h\/(h\/((h\/h**(2\/17))\/h))*h)*h)\/h)*h*h**3*h*h**(2\/11)\/(h\/(h*h\/(h*h**(2\/17)*h))) assuming h is positive.\nAnswer: h**(1112\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 15 = -4*m - 0*m, 4*m - 5 = 3*g. Suppose z + 4*n + 4 = -z, -34 = -g*z + n. Solve z*i + d - 16 = 2*i, i - 4*d = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (405\/(-108))\/(-1*(-3)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1833874*f**3*x**2 - f**3*x + 21471*f**3 - 2*f**2*x wrt x?\nAnswer: -3667748*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3504 + -3499. Solve 4 = -b*q - y, -3*q = 3*y - y + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 4:39 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j - 1. Let m(y) = 1. What is -2*m(x) + v(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - u + 6 = 0. Suppose -35 = l - u*l. Let f = l - 23. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(702\/60)*(-171)\/(-19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -26*x**2 - 2*x. Let f(a) = -2*a**2. Calculate d(f(t)).\nAnswer: -104*t**4 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75621 - 157779 = 4024*p + 5312*p for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3269642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngccccmncmc. What is prob of sequence gmc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -6*q**5\/5 - 36*q**4\/5 + 66*q**3\/5 + 504*q**2\/5 + 696*q\/5 + 288\/5 = 0.\nAnswer: -6, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, 1\/9, 6\/5, 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3001 is divided by 376.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.00546 - -0.09454. Which is the fourth biggest value?  (a) f  (b) 12  (c) -3  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, c: 5, z: 2, f: 1, q: 1}. What is prob of picking 3 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -14723763 (base 9) in base 5?\nAnswer: -3334304014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.48488 millimeters to micrometers.\nAnswer: 7484.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2*f - 2*f + 0*f)*(f - 2*f + 3*f) - 4*f**2 + 3*f**2 + 0*f**2)*(41*f + 32*f + 1 + 82*f) to the form y*f + a*f**3 + u + w*f**2 and give a.\nAnswer: -1395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1482 + 496 - 32*d**2 + 496 + 491 - 320*d**3 as c*d**2 + b*d**3 + a*d + q and give b.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -147780700 rounded to the nearest one million?\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -14  (b) 1\/6  (c) -2\/51  (d) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**2*i*l**2 - a**2*l**3 - 2*a**2*l**2 + 39*a*i*l**3 - a*i*l**2 + 2 wrt l?\nAnswer: -6*a**2 + 234*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (99*p**2 + 22 - 96*p**2 - p - p)*(-9 + 9 + 5*p).\nAnswer: 15*p**3 - 10*p**2 + 110*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 19*u**3 - u**2 - 9*u + 5. Let v(f) = -f**2 + 5*f - 12. Let p(a) = 2*a**3 - 2*a + 3. Let x(d) = 5*p(d) + v(d). Determine -3*r(t) + 5*x(t).\nAnswer: -7*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -103381663, -103381666, -103381669, -103381672, -103381675, -103381678?\n\"Answer: -3*h - 103381660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d - d - 5*d)*(376*d - 195*d - 2*d**4 - 182*d + 16).\nAnswer: 6*d**5 + 3*d**2 - 48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1010 - 286 = 144*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 35711 + -5?\nAnswer: 35704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 2*c - 4*p - 7, 4*p = -3*c - 14. Suppose 0 = g - 3*m - 9, 5*g + c*m = 3*g + 18. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40814294 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3038 and 868?\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -212, -420, -628, -836?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z*z**(-4\/9)))\/z)\/z**(1\/24))\/((z**(2\/7)*z)\/z)**(-2\/25) assuming z is positive.\nAnswer: z**(-7237\/12600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38700316 is divided by 155.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 y when four letters picked without replacement from {t: 4, s: 3, p: 6, y: 2, v: 1}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(190) - (sqrt(190) - (sqrt(190) - sqrt(190)*-2 - sqrt(190)))))\/(2*sqrt(10)*-1).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*j = -59*j. Suppose j = -2*d - 3*d + 105605. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2551452.\nAnswer: 2, 3, 89, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 q when four letters picked without replacement from squrstwuwwusr.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-3))\/(121\/(1191729\/(-134)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (1 - (2 - -40)) + (6 + -9 - -2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -10*t - 41. Let a(u) = -7*u - 27. Suppose -8*m + 2*m = -42. Let i(w) = m*a(w) - 5*g(w). What is the remainder when i(-8) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -19253849.\nAnswer: -19253849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 51\/8 of a gram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 - -10. Suppose u*m = 3*m. Solve -4*v - 20 = m, 2*y - 4*v = 3*y + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3995082 - -395517424\/99. Let z = -362\/9 + p. Factor -16\/11 - 40\/11*r - 2\/11*r**4 - 14\/11*r**3 - z*r**2.\nAnswer: -2*(r + 1)*(r + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*552\/408*(48 + -31).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 0. Is 1\/y - 26707\/(-34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 1.2, -0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2457 and 9261.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -1 - (1 + 8 + 9 + -17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -9*g**2 + 4*g + 5. Let n be q(-4). Let f be 1\/4 + n\/(-4). What is the common denominator of -1 - (2 - f\/(-18)) and 3\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 219671*w**3 - 317393*w**2.\nAnswer: 1318026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, -3, -4\/7, 1\/9, 1\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28251 + 28315. Suppose -6*s = -4*s - 8. Calculate the highest common factor of s and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-10)\/250*-25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**6\/135 - x**5\/45 - x**4\/54 - x - 2. Factor m(g).\nAnswer: -2*g**2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 365 + -516. Let q = 186 + v. Calculate the lowest common multiple of 20 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddgddddwgddwwwdg. Give prob of picking 2 g and 2 w.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/15*(169 + -2 - 2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -208?  (a) 88  (b) -0.3  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -4*n + 41, -612*m + 1213*m - 13 - 4 = 602*m - 2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 134877 times 3?\nAnswer: 404631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v + 2*v + 19 - 5*v + 3*v. Let m be f(4). Let s be 32\/8*m\/(-2). Solve 2*j - 4 = -s*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*r - 6*r + 11*r + 3*r)*(7 - 2*r**2 + 9*r - 2*r - 17*r).\nAnswer: -36*r**3 - 180*r**2 + 126*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.2 in 0.5, -12, 1\/6, 134, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 5:10 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -93*p - 31 + 3937. Let g = -881 - -1553. Let y be ((-4)\/(-8))\/(4\/g). What is the greatest common divisor of p and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v + 5*v + 4*v)*(-60*v**2 - 188*v**2 - v**2).\nAnswer: -1494*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*l - 448 = 0, 0*h + 224 = h + 2*l. Suppose -3*j = 5*k - 2*k - 36, 0 = -2*j - 3*k + 29. What is the greatest common factor of h and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1026 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/10*(-2)\/(-6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -185*0.9\nAnswer: -166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 101692903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 5, y: 13}. What is prob of picking 2 y and 1 m?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by -4?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 15*w. Let g(r) = 9865*r. What is y(g(l))?\nAnswer: 147975*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p - 8. Suppose -i = p*i. Suppose i = 5*x - 4*x - 4. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -142838 + 0.11.\nAnswer: -142837.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3*d + 3. Let q be h(0). Suppose q*l = 296 + 115. Let g(k) = k**3 + 8*k**2 - 21*k + 4. Calculate the remainder when l is divided by g(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, -1\/528, -143913?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -803  (b) -0.5  (c) -15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 54606 (base 7) to base 11\nAnswer: a304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-67)\/(-201))\/(2\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 20 = 0, 3*m + 4 = 2*p - 3*p - p - 5*m for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 260 - 42. Let v = 194 - y. Let b = 3 - 2.8. Is b greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1525252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30291.43 - 76263.\nAnswer: -106554.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4978463 divided by -29\nAnswer: 4978463\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 - 28. Suppose 4 = n*x + c, -4 = c + c. Solve 12 = x*u - 4*g, 3*g = 4*u - 7 - 9 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 644 + -586 + (-1 - 24)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/3*(7 - 1). Let p(t) = -t - 5. Let g be p(n). Is -2\/7 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14043043 - 4430?\nAnswer: 14033113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 42193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -4*d + 0*d + 3*d. Let t(g) be the second derivative of 0 + 0*g**3 + 0*g**2 - 1\/6*g**4 + 3*g. What is t(z(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 400 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - f - 1. Let t(s) = 2*s**3 + 10*s**2 - 12*s + 2. Give -12*d(z) + t(z).\nAnswer: 2*z**3 - 2*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -0.3204776  (b) -3  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56.47198, -3\/4, -0.4 in ascending order.\nAnswer: -3\/4, -0.4, 56.47198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/10)\/((-5)\/225). Let k be (-4)\/l + 75\/27. Suppose 2*q = -k*q + 70. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 14. Let t = n + -8. What is the units digit of (-2)\/4*32\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -267797635*a - 103923177.\nAnswer: -267797635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*w - 351 = 0, 64 = 4*v - 2*w - 218. Factor 5*j**5 - v*j**4 + 5*j**2 - 30*j + 15*j**2 + 10*j + 15*j**3 + 52*j**4.\nAnswer: 5*j*(j - 2)**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a**2 - 1057*a**3 - 5*a**2 - 2*a**2 - 9*a**2.\nAnswer: -1057*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 6. Suppose 4*c - 20 = -0*k - k, -4*c + 28 = 3*k. Suppose -5*u + 3*t = -7, 9 = -2*u + k*u + 5*t. Suppose -25 = -3*m - u*m. Determine l(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4587*m = 4583*m + 3*w + 37, 0 = -5*w - 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 - 5\/(15\/(-18)). Suppose 2*y + f*y - 96 = -5*o, -o - 120 = -5*y. 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: How many minutes are there between 10:08 AM and 7:25 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 1082*z + 32161. What is p(29)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*((-8)\/(-4))\/4*-5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26677.86 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 9*u**2. Let b(j) be the second derivative of -175*j**3\/3 + j + 1481. Calculate o(b(c)).\nAnswer: 1102500*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 5\/2  (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 74 + -19. Let s = o + -55.086. Let l = s - -0.0549. Round l to three decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8112353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 3313967170 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 4082.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 785589 is divided by 1258?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**6\/f**(-2\/7)*f*f**(-4)*f*f**5 assuming f is positive.\nAnswer: f**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 21029 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 12*h**2 + 1. Let a(y) = 287857*y. Give a(d(q)).\nAnswer: 3454284*q**2 + 287857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2 + 39*d + 23. Let j be b(-23). Let t = j + -537. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13227054 by -34.\nAnswer: -389031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - (-7 + 18)) + 8 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -3\/4*c**4 - 18*c + 39 + 15*c**2 - 7\/2*c**3 + 3\/10*c**5. Let r(a) = 0. What is a?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {u: 3, s: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - d. Let a be z(1). Let m = 4 + -5. Sort m, 5, a, 3 in ascending order.\nAnswer: m, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 = 205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 583670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2 + 0)*(63 - 63 - r**2) + 8*r**2 + 29 - 31 + 12*r**2 to v + a*r + h*r**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10120 rounded to the nearest one hundred?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + k**2 - k - 1. Let x(a) = 2*a**2 - 6*a - 2. Suppose 2*l - 3*v = 1, -11*v - 2 = -2*l - 9*v. Calculate l*d(m) - x(m).\nAnswer: 2*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47748 + 47747.979409. Round i to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19508303 = 4*l + 5216327. Suppose 8*j - 2771976 = 4*j. Suppose -2*c - j = -l. Round c to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**3 - 299*q**2 - 117*q + 1700. Calculate h(100).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 6*h - 720. Let c(o) = 6*o - 580. Let x(r) = -5*c(r) + 4*d(r). Let y(v) = v - 4. Determine -3*x(p) - 16*y(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-1\/3)*v\/(v*v**4)*(v*v\/(v\/v**29))\/v**(-36))**33 assuming v is positive.\nAnswer: v**2090","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 3:42 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/3, 1\/12, 2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*1 - 21\/((-42)\/6). Suppose -w = y*z - 10, -26 + 6 = -3*w - 5*z. Suppose 2*h + 4*k = 10, 0 = 4*h - k - 29 - 18. Solve h - 36 = -w*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45412 is divided by 7541?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/9618682 and -137\/246.\nAnswer: 28856046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -245146*k**3 - 3*k + 245144*k**3 + 22*k**2 + 2*k**2 + 2 to the form b*k**3 + h + g*k + f*k**2 and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30431970.\nAnswer: 2, 3, 5, 269, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 314695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12081 - 12081.1. Is u equal to -29.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11002023222 (base 4) to base 7.\nAnswer: 14134254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**0)**(-20))**17\/((q\/(((q*q*q\/(q**0\/q))\/q*q)\/q*q*q))\/q**(-1)*q**(-4)\/((q*q**1\/q)\/q)) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) -5  (c) -2\/9  (d) 0.9  (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**3 - 2*f**2 + f - 1. Let s be v(5). Let l = s + -4279\/13. Which is the third biggest value?  (a) -0.5  (b) 2\/5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14 - 14 - 10*t - t + 3*t - 3*t + (1 + 2*t - 1)*(-2 + 0 - 2) + 12*t - 9*t + 20*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3170689 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 215527010 to the power of 1\/2, to the nearest integer?\nAnswer: 14681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3*t = -116613, 0 = -d - 3*t - 8929 + 38071. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -604*c = -592*c + 48 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 8*s**3 - 13*s**2 + 7*s - 12. Give z(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 168674  (b) -3  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2490 = -514. Let t = a - 464. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + -1. Let d be (-2)\/(-10)*(-2)\/4. Let o = 2\/5 - d. What is the closest to o in a, 4\/7, 2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32980592 by 4.\nAnswer: -8245148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k*((k\/((((k\/(k\/(k*k\/((k\/k**(-1\/4))\/k))*k))\/k)\/k)\/k))\/k)\/k))\/(k**0\/k)*(k\/k**1*k)\/k*k\/(k\/(k*k**2)*k))**(-28) assuming k is positive.\nAnswer: k**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6249014 is divided by 3426?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -44*y**5 - 1087*y**4 - 1918*y**2. Let u(l) = -26*l**5 - 543*l**4 - 960*l**2. Let o(g) = 3*s(g) - 5*u(g). What is the third derivative of o(v) wrt v?\nAnswer: -120*v**2 - 13104*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110110001101100001100 - -101?\nAnswer: -1110110001101100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80, 138, 182, 206, 204, 170, 98?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.146245 from -38524.5.\nAnswer: -38524.646245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1135, 2272, 3409, 4546?\n\"Answer: 1137*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.91 + 0.11. Let g = c + -0.1. Let r = g + 0.90019. What is r rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 63 = -10*k, w + 1 - 28 = -4*k. Solve 43 = 40*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*j - 40 - 80, -5*r + 260 = 2*j. Calculate the remainder when 148 is divided by r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -t**6\/360 - t**5\/24 - t**4\/6 + 4*t**3\/3 - 7*t**2. Let y(x) be the first derivative of j(x). Calculate y(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (39*(-12)\/108)\/((-60)\/(-180))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -708 = -2*l + 7*l + y, -4*l = 2*y + 564. Let j = l - -233. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13353 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c - 12 = -9*c. Let t = 19.01 + -19.18. Is c != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*d - 6 = -2, -r = -5*d - 8. Solve -o = -r - 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - m**2 + m. Let b be d(0). Suppose 0 = n + 5, b = a - 5*n - 0*n - 31. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - -22 - -5 - (1 + 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + 3. Suppose 4*y - w*y + 2 = 0. Factor -8*p**2 - p - 10*p**2 + 19*p**y + 0*p.\nAnswer: p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o + 35. Let b be k(-11). Let x(a) = a**3 + 19*a**2 - 27*a. Calculate the remainder when x(b) is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n. Let w be 13\/7 - 5\/(-35). Let f(s) = -3*s**2. Let k(a) = w*m(a) + f(a). What is the second derivative of k(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 6*r. Let l(h) = h + 54. Does 18 divide l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -34*i**4 - 3*i**3*q**3 - 304*q**3 wrt i.\nAnswer: -136*i**3 - 9*i**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -56\/45 and 27\/14090.\nAnswer: 126810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 0)*(-20 - 20 + 67 + (-183 + 88 + 141)*(-2 - 1 + 1)*(0 + 0 + 1))*(0*w + 2*w - w).\nAnswer: -195*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*j = 8. Let u(t) = -28*t - 8. Let i be u(-1). Let f(q) = 6 + i*q**2 + 2*q + 0*q - 19*q**2. What is f(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140927866?\nAnswer: 2, 2069, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34458.83 millilitres to litres.\nAnswer: 34.45883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -13766.26440795?\nAnswer: -13759.26440795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 0. Suppose -59 = -3*t - 68. Suppose 65 = -7*x + 20*x. Put y, -5, x, t in decreasing order.\nAnswer: y, x, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*y**2 - 3*y**2 - 2*y**3 + 0*y**3 - y**3 - y**3 + (4*y + 10*y**2 - 4*y)*(-4 - y + 4) in the form z*y + p*y**2 + k*y**3 + n and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -71, 3, 2, -476, -3, 5, -5 in ascending order.\nAnswer: -476, -71, -5, -3, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1143 (base 12) in base 9?\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62 - 34. Let v = 27 - u. Calculate the smallest common multiple of 29 and 8 - v*(-4 + 2).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = 3*s + 58 + 29. Are s and -17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = -x + 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -106 - -85. Is 7 a factor of t*(-2)\/(-4)*(2 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -33. Let n be 1\/3 + v\/(-6). Let k(o) = 3*o + 2*o + 3*o + o**2 - 5*o. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 259590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s + 90. Let a be k(-22). Suppose -3*d + 36 = 3*n - 57, -a*d = n - 28. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**3 - 700*x**2 + 32915*x + 1731790.\nAnswer: -5*(x - 61)*(x + 34)*(x + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 5*p**2 + 5*p + 2. Let u be m(6). Let h = u + 6. Let y be (h\/(-4) + 1)*3. What is the biggest value in -2, y, -6\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f - f + 2*f + 2*f - 3 + 3 + (0*f + f + 0*f)*(0 + 0 + 1) + (-3 + 5 - 4)*(1322 + 159*f - 1322) - 2*f + 1 - 1 to u*f + d and give u.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/(-8) + (-3)\/12. Suppose 4*s = -f*i - 10, 3*i + 10 = -3*s - 2*i. Solve s = -3*l - l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 2. Suppose -1 = 2*p + 3*o, -o = -z*p + o + 45. Let r(k) = 10*k - 4. Calculate the remainder when r(p) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7277, -28996, -65185, -115844, -180973?\n\"Answer: -7235*c**2 - 14*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/4 - 4\/(-72). Let v = u - 29\/36. Sort 3, v, -0.1 in ascending order.\nAnswer: v, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 713*m + 4*k = 716*m - 30, 24 = -4*k. Solve 37\/3*c**4 + 35\/3*c**m - 59\/3*c**3 - 2*c + 0 - 7\/3*c**5 = 0 for c.\nAnswer: 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 14 - 15 + 3*p**2 - 18 to q*p**2 + o*p + i and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u = -165 - 543. Suppose -4*i - u + 71 = 0. Solve 4*s - i = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -306 + 169. Let m = -130 - h. Solve 2*z = 3*b + 19, 0*b = -b + z - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -10\/3, 6 in increasing order.\nAnswer: -10\/3, -0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of i**5\/20 + i**4\/2 + 2*i**3\/3 - i**2\/2 - 3*i. Suppose -3*a + 2 = -a. Suppose -7 = w - b, b = w - 2*w + a. What is y(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from ukkuukukuuku.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1365*o - 84728 = 16282 for o.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -223 - 313?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10301103010 (base 4) to base 13.\nAnswer: -34a254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -2*o - 30 + 41, 0 = 7*p - 2*o + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -51*c**2 - 263*c - 38. What is u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -196a6a1 (base 11) to base 10\nAnswer: -3323013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d + 3. Suppose 3*o + 4*s - 25 = 0, 4*o - 32 = -4*s - s. Let j(u) be the first derivative of u**2\/2 - u - 464. What is o*j(l) + k(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + g + 22. Let q = 45 + -27. Calculate the least common multiple of q and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 4.7. Let x = 0.2 - h. Let p be 2\/6*3\/(-2). Which is the third smallest value?  (a) p  (b) -1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-75)\/(-14) - (4 + 54\/27). Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3808049, -3808050, -3808051, -3808052, -3808053, -3808054?\nAnswer: -3808055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3250*a**3 + 8*a**2 + 2*a - 40. Let i be j(-5). Let p = i - 2606400. Round p to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2857876 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 11550, -25, -1\/5, -5, -4 in decreasing order.\nAnswer: 11550, -1\/5, -4, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-68)\/(-2) + (-1786356)\/(-54132)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 3*r - 14, -5*c = -10*r + 6*r - 33 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*l**2 + 30*l + 17995*l**5 + 26 - l - 57 - 17723*l**5 wrt l?\nAnswer: 5440*l**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*p**4*y + 2*p**4 - 3*p**3*y**2 + p**3*y - 46*p**2*y - 7*y**2 wrt p?\nAnswer: 864*p*y + 48*p - 18*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 225, -3, -1.8, 3\/4, 2.6?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*h + 3*h + 8 + 12*h + 5 + 0*h to the form z + j*h and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m + 2. Let n(y) = y. Suppose -5 - 255 = 10*z. Let x = -23 - z. Calculate x*n(d) - g(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**4*c*c)\/(c**(-4)*c))**(2\/9) assuming c is positive.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1727 - -423. List the prime factors of c.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 40 = 5*j, -118*u - 9*j = -114*u + 77. Is -17\/1259 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 448782.2kg?\nAnswer: 448782200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, b: 3, x: 7, q: 3}. Give prob of sequence xb.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/40 + 116\/5. Let n be (-3 - -2)\/(v - 5). Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2427, 4856, 7283, 9708?\n\"Answer: -r**2 + 2432*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-10879)\/92)\/(5\/(-20))?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3255508080.\nAnswer: 2, 3, 5, 11, 411049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/13  (b) -2\/115  (c) -2  (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1, -12, -29, -52, -81, -116, -157?\n\"Answer: -3*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8218 + -7702. What is the highest common factor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76 and (-15)\/12 - -2 - (1 + 45612\/(-48)).\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*q = -84 - 323. What is the remainder when 769 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (5 - (0 - -2))\/(12\/248)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*x = 18*x + 597. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 64 - 380. Find the common denominator of i\/2*(-2)\/(-8) and 21\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -3. Which is the second smallest value?  (a) -0.3  (b) -0.1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 210 + -128. Let u = w - 64. Find the third derivative of -118*p - u*p**4 + 17*p**2 + 118*p + p**4 wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 1611.299 micrograms?\nAnswer: 0.000000001611299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97634*c**3 + 7*c - 7*c + 97479*c**3 - 195119*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (20 + 14 - 58)*(-3 - 1 + 1 + (6 - 1 - 2)*(-4 + 3 + 4))*(-2*g + 4 - 4) as r + t*g and give t.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 - -9 - -19) + 2 + 0 - 38.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54 + 26*h**2 + 54 + h**2 - 2*h**2 + 2*h**2 - 3*h**2 + 4*h**2 - 2*h**2 + (h - h + h)*(-h + 4*h - h))*(4*h**2 - 3*h**2 + 0*h**2).\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/45)\/((-20)\/(-200))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 6 = -2*h. Let w(j) = -148*j + 7. Let t(u) = 14*u. Let z(c) = 13*t(c) + w(c). List the prime factors of z(h).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z**4\/7 - 7502*z**3\/7 - 84414*z**2\/7 - 28654*z + 24780 = 0. Calculate z.\nAnswer: -1239, -7, -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 541*l**4*p - l**3*p**2 - 3875*p**2 wrt l.\nAnswer: 2164*l**3*p - 3*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1528963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(432) - (sqrt(432) + -4 + (sqrt(432) - (1 + sqrt(432))))))**2*5 + 4.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 276637723.\nAnswer: 47, 5885909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 583, 1945, 4231, 7453, 11623, 16753?\n\"Answer: 2*r**3 + 450*r**2 - 2*r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2562171 is divided by 2562166.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c - c - 2*c)*(-41*c - 253*c**2 + 41*c)*(3*c**2 + 0*c**2 - c**2).\nAnswer: 1012*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 3*c + 14. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 - -2. Let v be (-2)\/12 - 520\/(-1680). Which is the closest to -5\/3?  (a) -5\/3  (b) v  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -3*m**3 + m**2 - 2*m + 10. Let g be f(-7). Suppose -2*z + 862 = -g. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1996573800 to the nearest one million.\nAnswer: -1997000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 638\/327 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1548 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*l - 7*l**3 - 2*l - 4*l**2 + 13*l to the form w*l + h*l**3 + o*l**2 + s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 61 - -1371673?\nAnswer: 1371734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 bigger than -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 196018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/70)\/((-3)\/(-7)). Put v, -1, -6 in descending order.\nAnswer: v, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25638 and 1266.\nAnswer: 5409618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -116, -103, -84, -59, -28?\n\"Answer: 3*k**2 + 4*k - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9*(-2)\/(0 + -2). Let x(l) = -3*l**2 + 9*l - 13. Let a(s) = 8*s**2 - 19*s + 27. Let w(o) = 2*a(o) + 5*x(o). Calculate w(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20882584 divided by 4?\nAnswer: 5220646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12435787.\nAnswer: 7, 13, 136657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-50)*-9*(-10)\/22)\/((-450)\/(-1200))\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aja when three letters picked without replacement from {a: 2, j: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -76\/21 + 10\/3. Which is the nearest to -2\/5?  (a) 1.2  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/12)\/(14\/(-126)*3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12521 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*q - 3*q + 11*q)*(-1 - 2 + 0)*(0 + 3 - 4).\nAnswer: 117*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - a691?\nAnswer: -a691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/7 - 3776916*j\/7 - 33992163\/7.\nAnswer: -(j + 9)*(j + 3776907)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**19*f)\/(f*f**(-17)))\/(f**(2\/11))**(-18\/7) assuming f is positive.\nAnswer: f**(-41\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 4*j**2 + 3*j + 2. Let m be f(3). Suppose -3 - 61 = -m*p. Suppose t - 12 = v - 2*v, -5*v = -2*t - p. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1064*n**2 - 3*n + 1073*n**2 - 2*n**3 + 2 + 3*n + 2*n**4 as p*n**2 + c*n + q*n**4 + l + o*n**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 276, 2164, 7282, 17244, 33664?\n\"Answer: 269*t**3 + t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -22. Let m(b) = -b**2 - 6*b + 7. Let y be m(a). Suppose 3*d - 9 = y, -3*r + 4*d - 9 + 3 = 0. Solve -r*l - 1 = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3841.73294 to the nearest 10.\nAnswer: -3840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*y - 101*y - 45 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -1071*i. Let v(b) = -5422*b. Determine w(v(l)).\nAnswer: 5806962*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - ((sqrt(7) - 1*sqrt(7)) + 1)) + sqrt(63)\/(-1*sqrt(9)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -3  (b) 2.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*s + 157 - 105. Solve w = -s*c - 28, -4*c + 2*w = 22 + 6 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**3 + 507700*k**2 + 32220926626*k + 128875583432 = 0. What is k?\nAnswer: -126923, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 8 = 10. Let s(o) = -o**5 + o**4 + o**3 + o - 1. Let h(r) = -2*r**5 + 3*r**4 + 2*r**3 + 3*r - 3. Let d(a) = y*s(a) + 2*h(a). Factor d(z).\nAnswer: 2*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/217852 in 4, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 63 - 75. Calculate the common denominator of 21\/20 and (0 - (-4)\/x)*54\/(-128).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 1 = -0*a. Let q be a*(-4)\/6*21. Let d = 35 - 10. Solve -4*u = -2*r - q, 0 = 2*u - 0*r + 5*r - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8625033 and 999?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = 3*u - 0 - 6, -5*u + 169*q - 292 = 23*q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-6)\/(-4))\/(15\/90). Calculate the highest common factor of 99 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x**3 + 3*x**2 - 3. Let o(l) = -l**3 + l**2 - l - 1. Let r(i) = f(i) - 2*o(i). Let m be r(-2). Solve 0 = -0*b + 3*b - 6, 3*a = -4*b - m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.62 - 1.72. Put 0, -3, p, 0.06 in ascending order.\nAnswer: -3, p, 0, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(153)*1*1)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - 24\/9)*-6 + 2. Solve 19 + p = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*n + 2*q, q + q - 5 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-18)\/(g\/g**(-25))*((g*g**(3\/4)*g)\/g)**(-33\/5) assuming g is positive.\nAnswer: g**(-1111\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 3:43 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 12*f = -70, 4*f - 14904 = 4*g - 14864 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g**3*i - 10481*g**3 - 278*g*i - 2*g - 4*i + 2 wrt g.\nAnswer: -6*g*i - 62886*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22769 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q*q**(1\/3)\/q*q)\/q)\/q)\/(q*q**1))\/(q*q*q**0)**44)\/(q**(-1\/9)\/q**(-3\/8))**4 assuming q is positive.\nAnswer: q**(-1651\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 9. Let s be 29\/(-9) + (z - 1). Which is the closest to 2\/7?  (a) 2\/13  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-2.6099\nAnswer: -0.78297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -14, 0.5, 17.\nAnswer: -14, -0.3, 0.5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1185080719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (-21 + (15 - (2 + 3)) - -11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/14 - 6*2\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3155 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2567 - 1110. Is 54 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -227 - -241. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3946899 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 87 - 4?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-34)*u**17 assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33 - -1. Let g = -37 + s. What is the units digit of 2\/((-10)\/(-265)) - g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of 23*j**5\/60 + 82*j**4\/9 + 14*j**3\/3 + 13*j - 53. Determine w so that d(w) = 0.\nAnswer: -14, -6\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 8 + (4 + -11 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 41\/2?  (a) 1  (b) 3\/11  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3922\/(-185)*5\/(-2). Suppose -i + 18 = -0*i. Let c = i + v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12178 + -12176. Let g(q) be the first derivative of 0*q + 15\/4*q**r - 26 + 1\/2*q**3. Factor g(v).\nAnswer: 3*v*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 27 = -f, -8 = 5*n - f - 44. Calculate the remainder when 60 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-6)\/s)\/(s**(-12)*s) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 1886*l - 5656. Determine u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/657 in 16, -5\/4, 1\/3, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 9\/1652?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8465 divided by 5\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + 8 + -3 + -25 + 0. Let p be (-92)\/(-9) + -2 + j\/99. Solve -l = l - p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 4*m + 2004, 23*m - 28*m = -2*g + 4002. What are the prime factors of g?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -3*q. Let h be s(-1). Put -4, h, 4\/3 in descending order.\nAnswer: h, 4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -835 = -p - 4*p. Suppose 4*l = m + 86, 2*l = -6*m + 2*m - 398. Let o = p + m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-6) - (-6 + 3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -422*w + 429*w - 122 = 2*v, 3*v - 2*w + 47 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7935?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001386148325 rounded to 5 decimal places?\nAnswer: -0.00139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/52 and 19\/(-3)*(-7)\/(364\/(-16)).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 368974 + -3?\nAnswer: 368971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5398434 plus -26895?\nAnswer: -26894.4601566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 3*f + 10. Determine m(8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-180)\/(-8))\/((-1)\/(-2)). Let t = u - 26. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2081 - 74 = -5*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-120)\/50*(46040\/(-6))\/4.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - t + 3*t)*(3 - 2 + 1) + 0 + 0 + 2*t - 9810*t + 3 - 3 + 10590*t.\nAnswer: 786*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55 (base 6) to base 12.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 825 divide 5389314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 30311\nAnswer: 9093.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1458 is divided by 292.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l - 2*l - l + (-3*l + 4*l - 4*l)*(-6 + 5 + 2) - l + 2*l - 3*l + 0 + 0 + l + 3*l + l - 2*l + (2 - 7 + 3)*(-3*l - 3*l + 5*l) + 0*l + 3*l - l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2\/4 + 5*o + 10105\/4.\nAnswer: -5*(o - 47)*(o + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 14) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**3 + 24*i**2 + 80*i + 1389. What is d(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(3\/8)*k*k**(1\/21)*k)**(1\/46) assuming k is positive.\nAnswer: k**(449\/7728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -4, -3*t + t = -5*c + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 3)*(4*b**3 - 2*b**3 - b**3) - b**3 + 18*b**3 - 4*b**3 + (b + 0*b - 3*b)*(2*b**2 + b**2 + 2*b**2).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 + 5*c**2 + 5*c - 5. Let k be m(4). Suppose k*b - 15740 + 4425 = 0. What are the prime factors of b?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -867910, -1735825, -2603726, -3471607, -4339462, -5207285?\n\"Answer: s**3 + s**2 - 867925*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -74 - 44?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 1 + 0 + 2*q + 1 - 5 + 4*q**2. Let u be i(-4). Suppose 0 = -2*g - 2*o + 46, -5*g + u + 62 = 2*o. Solve -3*p - g = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132398268 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-2*3*sqrt(1215))\/((sqrt(200)\/sqrt(196))\/sqrt(10)))**2.\nAnswer: 428652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oioi when four letters picked without replacement from {o: 3, i: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105661699.\nAnswer: 11, 13, 61, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35570639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -457, -932, -1395, -1840, -2261?\n\"Answer: y**3 - 482*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o**5\/3 + 464*o**4\/3 - 51461*o**3\/3 - 546554*o**2\/3 - 594080*o - 599136 = 0 for o.\nAnswer: -4, -2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1404301 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 279.0125ml?\nAnswer: 0.2790125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -18.952*0.0019\nAnswer: -0.0360088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88 + 8*z - 7*z + 101 - 189.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -192*x + 276*x - 1596. What is the remainder when 4283 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 8 + (-3 - 1) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 3.0000791?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 29, 3, 1.\nAnswer: -5, 1, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*(sqrt(1715) - (sqrt(1715) - sqrt(1715)*1)))\/(sqrt(42)\/(sqrt(6) - (sqrt(6) - -4*sqrt(6))*5)).\nAnswer: 3360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0516078 - -37?\nAnswer: 36.9483922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = y - 3. Suppose 3 = -p + y*p. What is the units digit of p*284\/12*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from feqqffeefeffq. Give prob of picking 1 f and 1 e.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*j + 5*j - 7*j)*((2*j**2 + 0*j**2 - j**2)*(0 - 1 - 2) + 3*j**2 - 2*j**2 + 0*j**2) as b*j + f*j**2 + n + d*j**3 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2335403 (base 7) to base 11.\nAnswer: -191573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 224*p. Let m(i) be the second derivative of -i**5\/30 - 130*i**2 - 99*i. Let q(z) be the first derivative of m(z). What is q(o(t))?\nAnswer: -100352*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0, -0.5, 79\/22, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 3*t = 4*t - 3, 4*t = -5*l - 2. Suppose l*o + 2*g = -0*o - 10, -g - 5 = -5*o. Suppose 0 = i - o - 7. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 greater than -0.0885716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 31881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -5*n - 7*n. Put -5, -4, 3, n in decreasing order.\nAnswer: 3, n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 22*b**2 - 6*b + 3. Let c be l(12). Let d = -716 - c. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes before 6:41 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 2*f + 369. Let g = f - 69. Suppose -4*w = -20 - 36. What is the remainder when g is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -1994?\nAnswer: -1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.337 * -0.3\nAnswer: -0.1011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6003990 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -5, -10.58, -24, -8?\nAnswer: -10.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 8*t**2 - t - 18. What is b(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -20971 (base 13) to base 12\nAnswer: -29ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12203 is divided by 11292?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 680049?\nAnswer: 3, 89, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 285790720?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 35*w**2 + 73*w + 176. Calculate o(-33).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11823 and 126.\nAnswer: 70938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.82648 to 1 decimal place.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 4*p + 2. Let y be a(5). Let j be (-3)\/2*(y - 9). Suppose j*q = -2*u + 19, 3*u - 16 = q - 3*q. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*a - 4*i + 19 = 0, 2*a + 5*i = 26. Suppose g = a*p + 54, 0*g + 5*p = -g + 54. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -46.01871541 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34\/9 + 32\/9. Let v = -0.11 - 0.79. Let k = 1 + v. Put -1, c, k in ascending order.\nAnswer: -1, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102.7239mm in kilometers?\nAnswer: 0.0001027239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/12 or 1.023?\nAnswer: 1.023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2300 (base 4) to base 16.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1436101?\nAnswer: 1436101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000289950421 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-2))\/((-7)\/35)*42\/35.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = w + 4*l - 4, 3*l + 2 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 16 - (-1)\/(4\/8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.52 and 14.\nAnswer: 13.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*f**3*u - 5*f**3 - 90*f**2*u + 77661*f + 331*u wrt u.\nAnswer: -2*f**3 - 90*f**2 + 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 79122232 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 44308*-2\nAnswer: -88616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102754*c**2*f**3*l**3 + 2*c**2*l - 2*c**2 - 337*c*f**3 + 111*f**3*l**3 - 22*f**3*l**2 + 4*f**2 wrt l?\nAnswer: -616524*c**2*f**3 + 666*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -15*p - 1. Let w be m(-1). Is (-735)\/w*4\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dcjdcdwdxddjxdrxcjd.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -181, -192, -225, -292, -405, -576, -817?\n\"Answer: -2*r**3 + r**2 - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 210123 - -311301120?\nAnswer: 312111303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.0223 - 0.9777. What is the second biggest value in 10.758, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -181*q**3 + q**2 + q + 1. Let m be p(-1). Suppose m = 13*o - 6*o. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/77699074 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 22*g**2 + g - 1. Let j be c(1). Suppose -18*l + j*l = -48000. What is l rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -9. Suppose n - 3*f - 10 = f, -u*n + 20 = -5*f. Solve 2*m - n*b - 2 = -4, 0 = 2*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**2 + 17544202*b + 76949755954201 = 0.\nAnswer: -8772101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*i = -8*i - 270 + 120 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*s = 249*s + 1686 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 41. Suppose 20 = -4*c, x = -2*a + 3*a - 4*c. Let p(h) = -h**2 + 55*h - 408. Let y be p(46). Solve o + 2*o - y = a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 559*o**2 + 8379*o - 118. Give m(-15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -42*w + 248. Let u(o) = 5*o - 31. What is 6*l(b) + 51*u(b)?\nAnswer: 3*b - 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -313\/41 - -3235\/123. Let m(o) = o**3 - 3*o**2 + o + 2. Let g be m(2). Find a such that -196\/3*a**4 + t*a**3 + 16\/3*a**2 - 686\/3*a**5 + 0*a + g = 0.\nAnswer: -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -16.5581 - -16.77. Round l to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 34*c - 132*c + 29*c + 130479. List the prime factors of c.\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1114, -1111, -1106, -1099, -1090, -1079, -1066?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(-15) + 42\/(-105). Let p = -15 - -3. Let i = -10 - p. What is the nearest to 0.4 in 2\/15, i, d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 + 34 = -4*y. Let j be (0 - -1)\/((-2)\/(-4)). Let x be (j\/12)\/((-2)\/3). What is the closest to 1\/4 in y, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -4*f + 3. Let s(y) = -10*y + 11 + 19 - 24 + y. Calculate 2*s(t) - 5*u(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 70\/8 + (-1)\/(-4). Suppose 3 = -3*m + a. Let c(z) = -374*z - 1496. Let f be c(-4). Solve 2*n + m + 0 = f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, f: 2, g: 3}. What is prob of sequence ff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -29*q**5\/5 + 3199*q**2 + 1939*q + 3. Find the first derivative of b(m) wrt m.\nAnswer: -348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -756, -7006, -24232, -58008, -113908, -197506, -314376, -470092?\n\"Answer: -929*r**3 + 86*r**2 - 5*r + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 76\/6 - 8\/(-24). Let u = 19 - k. Let y(g) = g**3 - g**2 + 4*g + 7. Is y(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -9 + 18 + -1 + (-30 - 4)\/(-1). Which is smaller: u or 380\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141 - (-49 + -8 + -93)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5263993 (base 12) to base 16.\nAnswer: -ed67bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 4*b**2 - 2*b - 3. Let l be r(-4). Suppose 102 = 3*o - 2*n + 5*n, -l*o = 3*n - 176. Solve a + 11 = -3*s, -2*a = -5*s + a - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -28 and 0.62.\nAnswer: -27.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -21, -65, -137, -237, -365, -521?\n\"Answer: -14*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12541 - -81968. Suppose k - 11142 = 5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in 1\/217, -1, 80\/9?\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -8434215 (base 9) to base 15\nAnswer: -5e169e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -203 + 203 + 36*w + 1540*w + 1054*w.\nAnswer: 2630*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 33)*(154\/28 - 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**2 - 11*n + 4634. Give s(-51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49396*k**2*o - 454*k**2 + 4765*o + 14205 wrt k.\nAnswer: 98792*k*o - 908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-8)\/(v\/(v**(14\/5)\/v))*(v**(-2))**(-7) assuming v is positive.\nAnswer: v**(34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3\/17  (b) -1  (c) 3  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/3 + 3010*y**2 + 4530050*y + 6817725250\/3.\nAnswer: 2*(y + 1505)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.2 - -8.2. Put b, -5, -0.5, 10 in decreasing order.\nAnswer: 10, b, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + x - 159 = 0, -6*t - 3*x + 157 = -2*t. Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 7:01 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**2. Let x = 303 - 145. Let a(h) = -16*h - x + 158. Determine a(n(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 432855764.\nAnswer: 2, 11, 9837631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 66 - 18. What is the greatest common divisor of 384 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 339*q + 375*q - q**2 - 717*q.\nAnswer: -q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(3*4\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-20)\/50 + 6\/(-10))*-92 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4759 (base 10) in base 9?\nAnswer: -6467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 3 - 13. Suppose 55 = -x*z + 153. What is the smallest common multiple of z and 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 403969198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 36*i**2 - 6*i - 1. Let v(x) = -35*x**2 + 5*x + 1. Let z(m) = -3*s(m) - 4*v(m). Let d be z(-1). Let f = d + -20. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2160632438.\nAnswer: 2, 43, 4801, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 3*t - 38 = 0, 12 = -40362*r + 40364*r - 2*t for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7 + 2*w - 14*w**2 - 14*w**2 + 41*w**2 - 15*w**2 to c*w**2 + b*w + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 283677 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -235 - -162 - (-63 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*p**2 - 5*p**2 + 3*p**3 + p + 0*p**3 - 6 - 2*p**3 in the form w*p**2 + l + z*p**3 + k*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 100\/35*28\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1065012)\/(-15) + ((-104)\/(-20) - 6). Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 0 - 12*m + 8 - 30 - 11. Let n be t(-3). Solve -4*h + 0 = d - 13, -16 = -2*d - n*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.4  (b) 0.01681  (c) 0  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68 + -37.9.\nAnswer: -105.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = h. Suppose h*f = f. Suppose 3*w + w - 316 = f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161862.\nAnswer: 2, 3, 53, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 202826*0.56\nAnswer: 113582.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -7, 0.53, -698?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -51, -7 in decreasing order.\nAnswer: 1, -7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 1 - 1)*(4 - 1 - 6) + 3 - 6 + 2 + 4 + 1 - 3)*(-46 + 46 + 2*f) as p*f + y and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*u = -63*u - 42*u + 948 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, 2\/17, 34, 0.042, 15, 0.052?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14447130 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) 0.04  (b) 0.5  (c) -5  (d) 1  (e) 452\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -s + 4*z, 5*s - z - 111 = -15*z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.7234988 + -127.7240288. Let v = y + 126. Round v to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9124 = 3*q - x - 3107, -q + 3*x = -4069. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*j - 2*w, -5*w - 13 - 7 = j. Suppose j = -40*k + 38*k + 300. What is the greatest common divisor of 15 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*d**3 + 25*d**3 - 104*d**3 + 34*d**3 - 3*d**3 + 8*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11636  (b) -5  (c) -0.5  (d) -4  (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 7*w. Suppose 4*k - 35 + 7 = w. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -180 - -344. Suppose 5*m + 39 = f + g, 4*m + 4*f - 76 = 0. Calculate the lowest common multiple of 40\/(-50)*(0 - 30) and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1\/(-3))\/((-536)\/3216). Solve -3*m = -6*m - k - g, 3*k = 4*m - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1407\/5596 - -2\/1399. What is the second smallest value in l, -0.116, 1?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 301161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = 8*b - 24 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -149.4 - -149.9. Which is the nearest to 2?  (a) 0.4  (b) -0.1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 j, and 2 z when four letters picked without replacement from lzzkzzzzzjnuujjljjjz?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from egu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 4*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (3 - (6 - (1 + 8))) + -4 + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 - 56. Let y = k - -21. Is y > -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**6*y*y))\/(y**(-7\/4)\/y*y)*(y*y\/(y\/(y\/(y*y*y\/y**1*y*y)))*y)**(-1\/10)*((y**(-1\/2)\/y)**(14\/9))**(-15\/7) assuming y is positive.\nAnswer: y**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8238 and 282288.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 not equal to 24051635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 198270787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 158787810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (5 + -7 + -6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 - 405023534?\nAnswer: -405023513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -291*k - 367*k + 52*k.\nAnswer: -606*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 3686771 * -0.2\nAnswer: -737354.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 570992b (base 12) in base 8?\nAnswer: 77522763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-18)*18\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-3)*i**1*i**1*i\/i**4 assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -19. Let s(k) = 5*k**2 - 5*k + 1. Let o(m) = 4*m**2 - 4*m + 1. Determine t*s(g) - 6*o(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 + -7. Let x = 1.05 + -0.95. Sort -0.5, h, -4, x in descending order.\nAnswer: h, x, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24930.177 months to centuries.\nAnswer: 20.7751475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7010 + 7010.004738. What is y rounded to four dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 + 7*w**2 + w + 7. Let n be k(-7). Let t(u) = u + u - u + n. Let c(l) be the second derivative of -l**4\/3 - 11*l. Give c(t(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + 1. Let s be 1\/(-6) - n\/(-36). Determine a, given that s*a**3 + 2\/7 - 4\/7*a**2 + 0*a + 2\/7*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/(-9)*6\/4. Let k = -4 - -18. What is the highest common factor of h and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103 and 5356?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6 and 759270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2305335455 - -2305335732.9999871. Let l = g + -278. Round l to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 7 = 58. Suppose 0 = 18*r - y*r - 77. What is the remainder when r is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 10*g**3 - 233*g**2 + 119*g - 1135. Determine s(23).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 6*m + m + 8.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 21*h - 2 - 118, -2*w = 2*h - 20 + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -823*j - 52*j - 1094*j + 250*j.\nAnswer: -1719*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 107293 and 5719?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -16 + 3*h + h**2 + h**2 + 2*h + 5*h - 14*h = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 + -3 - (6 - (19 - 21))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of l**5\/60 + l**4\/2 - 13*l**3\/6 + 4*l**2 - 30*l. Let w(g) be the first derivative of r(g). Factor w(s).\nAnswer: (s - 1)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + -a22?\nAnswer: -a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-1*sqrt(120))\/sqrt(12))\/(sqrt(45)\/(-2*sqrt(9))).\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4292 and 1924.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1113244 (base 10) in base 12?\nAnswer: 4582a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -4*b. Let i(a) be the first derivative of -15*a**2\/2 - 73. Let h(x) = 2*x. Let w(u) = -3*h(u) + i(u). Determine w(j(g)).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = n + h + 8, -n - 3*h - 9 = 0. Let r(z) = -1 + 0 - z - 2. Let q be r(n). Solve 4*w - 8 + 4 = -4*u, -u + 9 = q*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -873*z = 2785*z + 20*z + 260*z + 192962 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -78415, -156867, -235321, -313777?\n\"Answer: -x**2 - 78449*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 30 = 2*x, 6*x = 3*x + 12. Calculate the lowest common multiple of r and 73.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -4. Let j = 1 + z. Let b = 3 - j. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256803322 to the power of 1\/2, to the nearest integer?\nAnswer: 35451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 9\/104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 2 = 2*j. Let l be ((-54)\/15)\/(3\/j). Solve -4*r + l = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8915069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -5.\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*((b*b*b\/((b*b*b*b**(-26))\/b)*b*b*b*b)\/b)\/b*b**15*b)\/(b\/b**(-8)*b**(3\/5)) assuming b is positive.\nAnswer: b**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -4*a. Let t(m) = 6 + 10*m - 2 - m**2 - 3*m - 12. Let q be t(5). Let z(u) = -2*u**q + 10*u**2 + 0*u**2. Calculate g(z(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35478 by 7.\nAnswer: -35478\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 8 - 0. Factor -33 + 69 + f**m - 37.\nAnswer: (f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(44\/(-6)))\/((-9)\/12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22933082 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, s: 2}. What is prob of sequence rr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of -l**5\/150 - l**4\/15 - 4*l**3\/15 + 2*l**2 + 161*l. Let t(v) = 0. Calculate v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from htttththhi. What is prob of picking 1 t and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 508, 2006, 4504, 8002?\nAnswer: 12500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 28 (base 12) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 5*w + 0*w)*(w - 1 - 2*w + 2).\nAnswer: 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, l: 1, r: 1, i: 1, h: 1, o: 2}. What is prob of picking 1 q, 1 i, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.1 + 3.1572?\nAnswer: 38.2572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61538995, 123077991, 184616987, 246155983?\nAnswer: 307694979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d + 3. Let i be o(-3). Let c be 0 - (-4)\/((-4)\/i). Let j be 2\/c*2\/4. Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8633525099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -43451432 and 0.6?\nAnswer: -26070859.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/4)\/((-6)\/24) - -2. Let v(m) be the first derivative of m**4\/4 - m**3\/3 + 1. What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 76\/6*15\/10. Suppose 5*s = 5*r - 42 + 17, -5*s = -3*r + c. Let q(b) = b**2 + 3*b + 5. Let j be q(-5). Solve -2*x - r*x = j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -179, -13, 7.448, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -0.06  (c) 0.09  (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 - (-26 + 48 - 25)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 13*a + 130. Does 63 divide t(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.982604 litres?\nAnswer: 3982.604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 0 + (-1 - 2 + 2)*(-2 + 2 + 2) + 0 + 1 + 0 + 0 + 0 + 2)*(136*v - 165*v + 334*v) in the form b + y*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 - 3. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1008 - 988. Calculate the remainder when 132 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o - 8. Let x be m(-6). Let g = -21 + 24. Let p be (x - g)*-1 - 3. Solve 0*v + p = 5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2. Suppose 4*a - 3*k = -9, 0*k - 5*k = 5*a - 15. Suppose 2*j + y = 5, -j + 2*y + 0*y = a. Calculate d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -221  (b) 188.8  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82 - 77. Sort 3, 0, -2\/9, n.\nAnswer: -2\/9, 0, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**4 + 4*x**4 - 4*x**4 + (x**4 - x**2 + x**2)*(-1 + 1 + 1) - 22*x**4 + 9*x**4 - 10*x**4 + 12*x**4 - 162*x + 162*x.\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384)*6)\/(sqrt(24)\/sqrt(32)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4400*l + 31105 + 164183 - 23688 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**2 - 1 + 1)*(-22*t**2 - t**2 - t**2).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do -99\/377 and -1782 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/6*7 - (-7)\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 13*v**2 + 2*v + 37. Let g be m(-7). Let x = -3 - g. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146118742 to the nearest integer?\nAnswer: 12088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*g - 2*f = -45*g + 10, -12 = g + 5*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51695093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 757*r = 762*r - 645. List the prime factors of r.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*8 - (0 - 0). Let y be w\/14*(-70)\/220. Which is the closest to 2\/5?  (a) y  (b) -0.3  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.8 + -2. Let l = 1 - k. Let c = -0.304175 + 0.324175. Sort l, c, -1.\nAnswer: -1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of 0 + l**3 - 2*l**2 - 15*l + 1\/12*l**4. What is s(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*a - 177 - 135 = 0. Suppose -2*w + 56 = a*w. Find j such that 2 - j**3 + 2*j - 3\/2*j**2 + 1\/2*j**w = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -976489678840 + 976489092155.380033. Let v = -586685 - u. Let h = -0.38 - v. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 317123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0660196924 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -5 - (14 + -13)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m - 2*w + 4, 5*m + 2*w + 9 + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197466, 394939, 592436, 789969, 987550, 1185191?\nAnswer: 1382904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -3734.475.\nAnswer: -14937.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98.2 - 111. Let i = w - -12.79999909. Round i to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -13 - (35 + -50 + 5) - 21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/(-5))\/((-2)\/(-120)). Suppose p - q = 7. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/2 and (0 + -2)\/((-40)\/(-190))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**11)**31 assuming b is positive.\nAnswer: b**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 - 421b?\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -861700 * 0.5.\nAnswer: -430850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 496 + -501. Let y(h) = -2*h + 16 + 2*h**2 + 5*h - 5*h. What is the tens digit of y(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*a - 10. Let w = 0 - 0.3. Let v = -0.5 - w. What is the nearest to a in -0.5, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 12*l**2 + 303. Calculate the remainder when z(7) is divided by 294.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -60\/263 - 19531\/3156. Calculate the common denominator of -4 + (-7 + 6)*63\/(-10) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -17 - ((16 - 32) + 26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167383?\nAnswer: 59, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1387112273 to the power of 1\/2, to the nearest integer?\nAnswer: 37244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3567335589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 31*y + 95. Let n(d) = 8*d + 23. Determine -2*h(v) + 9*n(v).\nAnswer: 10*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 11:28 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 60223, 120443, 180663, 240883?\nAnswer: 301103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -39375989, -78751974, -118127959, -157503944, -196879929, -236255914?\n\"Answer: -39375985*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4 - 10*l**3 + 532*l**2.\nAnswer: -2*l**2*(l - 14)*(l + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87049\/8 - -10878. Is p at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5861, 3986, 2111, 236, -1639?\n\"Answer: -1875*c + 7736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0702 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*i + 18*i = 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.367469044437 - -86.\nAnswer: 84.632530955563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 10) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(21)\/sqrt(3))*-4 + sqrt(14)\/(sqrt(112)\/sqrt(4)) + 0.\nAnswer: -7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6994752, 13989505, 20984258, 27979011?\n\"Answer: 6994753*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 1. Let a(c) = -3*c - 13. Give 6*a(l) + 78*y(l).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2720720 by -1136.\nAnswer: -2395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2088 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6214, -11239, -16264, -21289, -26314?\n\"Answer: -5025*g - 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 148.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0  (c) -0.5  (d) 4\/393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -276*d**2. Let i(k) = -6*k**2. Give u(i(l)).\nAnswer: -9936*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 2*x - 5 = v, x + 5*v - 17 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*g - 9*g + 17*g + 8 with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y. Let c(u) = -1110*u**2 - 1. Calculate k(c(r)).\nAnswer: 1110*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.2 - -3.1455. Let x = -0.02827 + 0.08718. Let b = l + x. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*(sqrt(11) - (-1*sqrt(891))**2)*3.\nAnswer: -6*sqrt(11) + 5349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/10 + 1594\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50 - -56. Calculate the lowest common multiple of f and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4254, -17009, -38268, -68031, -106298?\nAnswer: -153069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -19379294.\nAnswer: 77517176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5026687, -10053436, -15080185?\nAnswer: -20106934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-94)\/(-18) - 20\/4*1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 1, p: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 506 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1178  (b) -5  (c) 2  (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -2559 in increasing order.\nAnswer: -2559, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -30*l**2 - 14*l - 45. Give t(-6).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2070 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 6*w**2 + 5*w - 3. Let j be q(5). Let d be (-22)\/(-143) - (-3 - (-5)\/(10\/6)). Put 4\/17, d, j in descending order.\nAnswer: 4\/17, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*n + 2 + 10*n + 9*n.\nAnswer: 17*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 6*a**2\/7 - 10194*a\/7 + 2209320\/7 = 0.\nAnswer: 255, 1444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-62 + 3)*3\/30. Let u be (-8)\/3*54\/(-20). Let v = g + u. What is the common denominator of -27\/7 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 9 = -2*s - w, -2*w = s - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*n - 11, 2*c = -0*n + 4*n - 14. Suppose -n = -i - 2. Suppose 2*z - 13 = 5*q, -2*z = z - 4*q - 16. Solve -i*g + 5 = -z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 3*k**2 + 2*k. Let c(h) = h + 2 + h**3 - 1 - 2*h**2 + 0*h**2. Let v(z) = 2*c(z) - 3*i(z). Give v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/12*(-126)\/(-513). Let p = i - -5\/19. Find d, given that 0 + 0*d**4 - 4\/9*d**3 + 0*d**2 + p*d**5 + 2\/9*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 - 58. What is the third biggest value in a, 18, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18574, 18572, 18570, 18568, 18566, 18564?\nAnswer: 18562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 3*s = -9, 2*s - 8 = 6*s. Let p(v) = -18*v. Let w be p(-1). Suppose -6*g = -w - 66. Solve 10 = 5*h - d*y - 0*y, -3*h - y = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 596 - 319. Let x(l) = -104*l - 15114. Let p be x(-148). Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2876 divided by -7.\nAnswer: 2876\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*l - 17*l + 35*l - 106 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 823 - 826.62. Let z = 3.65 + o. Let h be 1\/(-2) + 15\/42. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*t + 6 + 2 - 41*t - 23*t - 24*t + 106*t.\nAnswer: -4*t + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13302 divided by 25278.\nAnswer: -2217\/4213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 72182*d**5 - 2*d**4 + 50*d**2 - 757*d + 1 wrt d?\nAnswer: 4330920*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -11*f**5\/40 + 13*f**4\/24 - f**3\/6 - 9*f. Factor t(h).\nAnswer: -h*(h - 1)*(11*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 5\/3, -1\/6, -12.2, 2\/9 in descending order.\nAnswer: 5\/3, 2\/9, -1\/6, -2\/7, -12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168873.\nAnswer: 3, 181, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -132 + 162. Let p be (-8)\/12 - (-140)\/u. Solve 6 = -s - 2*s + p*m, 10 = -5*s + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*b*t*z + b*v**2*z**2 + b*v - 49*b*z**2 - 2*b*z - 373*t*v**2*z**2 + 18*t*v**2 - 2*t*v*z wrt v?\nAnswer: 2*b*z**2 - 746*t*z**2 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 3. Suppose -3*r = m*r - 25. What is the third derivative of 3*a**2 - 2*a**2 + 2*a**5 - 2*a**5 + 2*a**r wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8396297 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 125 and 220975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3436 (base 11) to base 3.\nAnswer: -20012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 3)\/((-6)\/18)*(-34 + 21 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -306539  (b) 270  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f**2 - 18*f**2 + 22*f**3 + 65*f**3 - 3*f**2.\nAnswer: 87*f**3 - 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 9 - (-2 - 0\/1). Let h be (55\/n)\/((-5)\/(-2)). Suppose -4*a + 5*a = -5*i + 71, -46 = -h*i + 4*a. What is the remainder when 44 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4}. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 7*a = -12. Let b be 13*(0 - 1*-1). Let k = b - a. What is the least common multiple of 2 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) -203913  (b) -4  (c) 0.5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51 - 57.2. Let o = 5.2 + q. Which is the closest to o?  (a) -4\/5  (b) -0.5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/9 - (-517)\/(-99)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 893 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -142182.3 rounded to the nearest 100?\nAnswer: -142200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4e29b5 (base 16) to base 8\nAnswer: -23424665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -4*s + 11, -3*l - 2 = -2*s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 (base 3) in base 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24 - 14. Let i = s - 9.999827. Round i to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 106*q**2 + 1976*q - 2925. Determine o(122).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1086*t - 1046*t - 2 + 4.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-1)\/(4*(-15)\/20))*295\/(-2065).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z - 15 = 26*z - 5*w, 0 = 4*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7663?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(513)\/(6*-1*sqrt(9)))\/(sqrt(33)\/(sqrt(11)*1) - (sqrt(21)*2)\/sqrt(7)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**5 + 5*v**4 - 1479*v**3 - 8901*v**2 - 13338*v.\nAnswer: v*(v - 39)*(v + 3)**2*(v + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/40 and 73\/972.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 4*c**3 + 0*c**3 + 29 + 53*c + 43.\nAnswer: 4*c**3 + 53*c + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105332336 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2956 divided by 604?\nAnswer: -739\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -16*n**3 - 7*n**2 - 9*n + 11. Suppose 10*o - 11 + 51 = 0. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16935765 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -3*l**3 - l. Let g be (10\/(-4))\/((-270)\/(-216)). Determine z(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, b: 2, a: 2, f: 1}. Give prob of picking 2 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*i + 198 = 122*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 26343 and -2336?\nAnswer: -61537248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 291297 - -201.\nAnswer: 291498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32 + -11232?\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, y: 13}. What is prob of sequence ry?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 4 = 4*v. Suppose -593 = -v*h + 735. Let s = -73 + h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -51, -74, -81, -66?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 1. Let q be (384\/(-182))\/((-18)\/(-72)). Let w = q + 58\/7. What is the second smallest value in w, -1\/8, s?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -z**3\/2 - 7*z**2 - z. Let i be 3 + -1 + (3 - 3). Let k(a) = -9 + i*a - 4*a + 0*a. Determine 8*k(u) - 5*r(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-1 - 4) + (-1)\/(-9)*873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 4*n**2 + 5*n - 6. Let l be k(3). Suppose -a - 15 = -t + a, l = 5*t - 4*a. Solve 8*x + 6*x**4 - t*x - 15*x**2 + 3*x**3 + 3*x = 0 for x.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l + l - 2*l + 7*l - 2*l - 3*l - 1 + l + 1 - 2*l - 4*l + 4*l + (-3 + 2 + 3)*(-2*l + l + 0*l))*(2 + 1 - 1).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b - 6. Suppose -2*h - 2*r = -40, 0 = -0*h + 3*h - 3*r - 60. Suppose -16*y = -h*y + 20. Determine v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + 0. Let u = k + -0.7. Put -1, 0.3, u in decreasing order.\nAnswer: 0.3, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77219 is divided by 25736?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 + 13. Let a be (0 + -2)\/j*5. Factor 0 + 0*r**3 + 2\/3*r**4 - 2\/3*r**2 - 1\/3*r**a + 1\/3*r.\nAnswer: -r*(r - 1)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 17856 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1291383.7 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -74\/9 and (-5)\/(1480\/116) + 1\/(-1)?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -51 + 51.012. Let f = -0.052 + t. Let n = f + 0.0391. What is n rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.4, -1\/9, 183?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 523, 1640, 3505, 6130, 9527, 13708, 18685?\nAnswer: 24470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3198104 less than 2589.5707?\nAnswer: -3195514.4293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 36, 26 in increasing order.\nAnswer: 2, 26, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -147*n**4 + 79296*n**3 - 10670952*n**2 - 6117120*n - 874800.\nAnswer: -3*(n - 270)**2*(7*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -80*c + 83 + 168*c**2 + 80*c - 167*c**2 to q + y*c + b*c**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/15 + 144160*m\/3 + 240266\/5.\nAnswer: 2*(m + 1)*(m + 360399)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llottfl. What is prob of sequence lfll?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 37509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - x = -795035, 524*x - 521*x - 596265 = 3*i. Round i to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, 1, 6, -14\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 27, 22, 1, -42, -113?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8768, 8708, 8520, 8132, 7472, 6468, 5048?\n\"Answer: -12*v**3 + 8*v**2 + 8772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 12, -6, -19, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/4 + (-1)\/2. Let s = 5277 - 5275. What is the highest common divisor of s and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 340241?\nAnswer: 11, 30931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1063+-0.4\nAnswer: 1062.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134\/45 - -7\/15. Find the common denominator of z and (-4)\/(-6) + (-5)\/(-120)*155.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -6*x**3 + 4*x**3 + 2*x**2 - 1 + 4*x**3 - 4*x. Let d(b) = -b - 1. Let q be d(-5). Let u be i(q). What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37565089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -13 divided by 7371\nAnswer: -1\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-82)\/(-5) - 4\/10. Suppose -n = -j - 0. Let t = j + -13. What is the lowest common multiple of 5 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 124722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from xxus.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 7051, 1, 4, -21, -1, -4 in increasing order.\nAnswer: -21, -4, -1, 1, 3, 4, 7051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 455930\/(-744925) + (-1)\/(-83)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 61189942 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 + -3)*(-22)\/4. What is the common denominator of 2\/m - 15\/6 and 13\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4782396 = -2*d + 6*d, p = 1. What is d rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 - q - 1. Let c(v) = 3*v**3 + 3*v**2 + 2*v + 2. Give c(r) + 2*i(r).\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.02  (b) -23.9  (c) 692\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1765206 a multiple of 873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*f + 2895 = 0, 4*x - f - 1976 - 1858 = 0. Which is smaller: x or 3827\/4?\nAnswer: 3827\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*y - 17*y - 2104 = -z, -3*y + 2*z + 1252 = 0. Let t be ((-144)\/14)\/((-120)\/y). Are t and 36 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/10*25\/5. Let f be ((-12)\/h - -18)*1. Suppose 5*o = 6*o - f. What is the highest common divisor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39\/208)\/((6\/28)\/(28\/196))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 75 - 70. Solve -h = -6*h, -5*h = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*u**3\/8 - 15167514*u**2 - 3466857*u\/2 + 1733430 = 0. What is u?\nAnswer: -1155620, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 744022823.\nAnswer: 89, 233, 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*a + 0*a = -103, 55 = 3*q - a. Suppose n + 2*l = 56 - q, 0 = -4*n - 5*l + 145. Suppose -x - n = 57. Round x to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that g**5\/10 - 118*g**4\/5 + 16801*g**3\/10 - 168073*g**2\/5 + 850928*g\/5 + 205504 = 0.\nAnswer: -1, 10, 19, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 510*v**3 + 0*v**2 - 517*v**3 + 2*v**2 - 2*v**2.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -101396, -405635, -912716, -1622639, -2535404, -3651011, -4969460?\nAnswer: -6490751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1936, -7627, -17114, -30397, -47476, -68351?\n\"Answer: -1898*v**2 + 3*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -100000000000011010101000 (base 2) to base 7\nAnswer: -131213360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2365485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 529\/9 + -59. Let z = 2788 + -2784. Which is the third smallest value?  (a) z  (b) 5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(-3*(-3)\/(-18)). Suppose 0 = -h*q - 3*t + 371, 5*q + 5*t = 1288 - 368. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 131 + -127. Let h(d) = 102*d - 21. Let j(v) = 20*v - 4. Let q(s) = z*h(s) - 21*j(s). Let x(k) = -20*k**2 - 5*k + 15*k**2 + 5*k. Determine x(q(i)).\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-1) - 1\/((-2)\/(-46)). Which is bigger: -20 or g?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*c + 22946 = -13870. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 22*f - 16. Let m be k(-21). Differentiate 0*s**4 + 0 + 11 - m*s**4 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23.9 + -24. Is -21 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 11. Suppose -d + r - 4 = 0. Let s = 1 + -0.5. Which is the nearest to d?  (a) -2  (b) s  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 8*y - 3*y + 10 = 0, 4*r + 5*y - 15 = 0. Factor 22*h**5 + 3*h**4 - 41*h**5 - 3*h**2 + 3*h**3 + 16*h**r.\nAnswer: -3*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 2\/5  (b) 0.142  (c) 82\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1218560 divided by -35.\nAnswer: 34816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 1:23 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -0.4, -66\/13, -0.5, 77, 109?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-32)\/72 + (-40)\/(-90). Solve -2*c - 3*g - 19 = o, -4*c - g - 24 + 1 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + f + 1. Let p be b(-2). Suppose -p*d + 0*d = 0. Sort -2, d, 7 in decreasing order.\nAnswer: 7, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, c: 3}. Give prob of picking 1 c and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5867742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6509416?\nAnswer: 2, 813677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h - 25 = -2*h. Sort h, 2, -3, 5 in descending order.\nAnswer: 5, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 255 and 120087337.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0160285555 and -0.2?\nAnswer: 0.0032057111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -53*a**2 - 33*a**2 + 85*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -50 divided by -3\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**2 - 28*i**3 + 73*i**3 + 6*i**2 + (-2*i**2 + 0*i**2 + 4*i**2)*(3*i + 2*i - 3*i).\nAnswer: 49*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*(-24)\/6. Let w(r) = r**2 - r + 3*r + 2 - y. Let n be w(-3). Solve n*p + 0 - 3 = -2*t, -p + 4*t + 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*g = 196 + 42 + 15 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1698 and 46201165.\nAnswer: 277206990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 10*y + 7. Let p be c(-7). Let s = 64 - 8. Let w be (-8)\/s + 40\/p. Put 3, -1, w in decreasing order.\nAnswer: 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - f + f)*(0 + 19*f + 0).\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 7*r - 1. Let q(i) = 2*i. What is -17*q(s) + 6*v(s)?\nAnswer: 8*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1674*k**3*z**2 - k**3*z + 13166*k**3 - 101*k**2*z**2 + k*z + 5 wrt z.\nAnswer: -3348*k**3 - 202*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 6, -7*l - 2*m = -3*l + 61600004. Round l to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -141, -276, -411, -546, -681?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/2*(-2)\/(-8). Which is the nearest to y?  (a) 3\/5  (b) -3  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(306)\/(sqrt(90)\/sqrt(10)))\/sqrt(2)*-5.\nAnswer: -5*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + a**2 + 2*a + 1. Let q be j(-1). Let o be 2*((-21)\/(-7) + -1). What is the third smallest value in o, q, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 2*c - 2. Let g be r(-2). Let i be (-6)\/36 + g\/(-12). Let b be (i - -24)*5\/10. Solve 5*q - q = -b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 178505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10201 (base 6) in base 5?\nAnswer: 20434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, b: 1, z: 1, o: 1}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1039*m + 7084 = -1755*m + 969*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.3605 take away -0.106?\nAnswer: 18.4665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 3\/5  (b) -0.5  (c) -1.7  (d) 4  (e) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (-4 - 70\/(-14)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d - 4*d + 3*d. Let p(k) = 5*k**2 + 10. Let x(m) = m**2 + 1. Let f(i) = p(i) - 10*x(i). Calculate v(f(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 906*r - 4 + 4 - 68*r.\nAnswer: 838*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t - t - 12 + 6*t + 9 + 11. Give h(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o + 12 - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/41, -0.3, -3, 164, 2\/5?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of u**5\/20 - 139*u**4\/8 + 204*u**3 + 2252*u**2. Suppose t(j) = 0. What is j?\nAnswer: 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.1  (b) 0.4  (c) -0.163  (d) -476  (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 834 - 837.63. Let s = d + 4.03. Which is the third smallest value?  (a) 9  (b) -6  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-56)\/(-30) - (2 + 0). Let z(g) = 2*g**2 + 5*g + 4. Let i be z(-2). Let l be 2*18\/81*(-1)\/i. Which is the second smallest value?  (a) l  (b) u  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -5  (c) 6  (d) 173\/308  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 16 and 1905\/121 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (8 - 3 - (1 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*u - 13. Suppose -4 = -5*c + 3*o, -u = 2*c + 5*o - 21. Find the second derivative of -2*p + 5*p - 5*p + c*p**4 + 4*p**4 wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5250 at most as big as -5429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d**2 - 37*d + 22. Let a(v) = -v**2 + v + 163. Let f be a(-13). What is s(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**3 + 12*i**3 - i**3)*(0*i + 4*i - 2*i) + i**4 - 2*i**4 - i**4 - 122 + 48*i**2 + 10*i**4 - 47*i**2 - i**3 + 123.\nAnswer: 22*i**4 - i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 173.5552 grams to nanograms.\nAnswer: 173555200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -503*n + 24*n - 355*n - 597*n + 136*n in the form l*n + h and give l.\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g**3\/5 - 772668*g**2\/5 - 9949954896*g + 39802292160 = 0. Calculate g.\nAnswer: -128780, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -636 < -635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-1050))\/((-742)\/(-9275)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1924.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 748 - -452. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yly when three letters picked without replacement from {y: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 2*c = 4*f - 186, 5*f - 5*c - 240 = 0. Suppose 5*p + 5*g = 80, 5*g - 12 = 2*g. Calculate the remainder when f is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*z - 2519 + 836 = 0 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -1\/4  (c) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -3686*t + 42908. Calculate j(12).\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 665 and 18469045?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of p**4\/4 + 7*p**3\/6 - 10*p. Let j be u(-5). Find the first derivative of -6 - j*x - 1 - 12 + 2 wrt x.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 433916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79.23744 millimeters to kilometers.\nAnswer: 0.00007923744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -42, -57, -84, -129, -198, -297?\n\"Answer: -v**3 - 8*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -499*k + 17865 = 13461 - 34019 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*f - 25*f = 4*v + 6, 2*v - 6 = 2*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b = -41*b + 21760. Calculate the least common multiple of b and 24.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g - 5*g = -2*n - 18, -2*n + g - 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-34)*g*g**(-11) assuming g is positive.\nAnswer: g**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (649\/(-1089)*-12)\/((-4)\/(-18)). Which is greater: b or 32?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/4 - (-2233)\/44. Suppose 2*b - s = -3*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**4 - 1080*v**3 - 12310*v**2 - 39600*v - 28375.\nAnswer: 5*(v - 227)*(v + 1)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/(-70) - (-38378)\/(-4620). Let x = l + 38\/495. Let q = 11431\/12 + -943. What is the common denominator of q and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004284 to seven dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3032776\/10625 - -4851\/17. What is the common denominator of 99\/100 and p?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 4*j + 6. Let b(q) = -4 + 0*q**j + q + q**3 - q**2 - 2*q**3. Let d be -3 + 1 + (-1 - -3). What is b(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -164, -775, -1830, -3329, -5272, -7659, -10490?\n\"Answer: -222*y**2 + 55*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**3\/7 - 143*y**2\/7 + 633*y\/7 + 945.\nAnswer: -(y - 9)*(y + 5)*(y + 147)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 686 = 3*p + 717, -14 = -2*p + r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*c - 234, -2*c = -4*s + 78 + 210. What is the lowest common multiple of s and 166?\nAnswer: 6142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2171490069 and 889?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 1006 = 2*w, 110*w - 2*s = 106*w + 2032. Calculate the greatest common factor of 975 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from {x: 3, l: 5, q: 1, a: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 1 + -1 - (148 + -155)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*o**3 - 10883*o**2 - 456*o + 277 wrt o?\nAnswer: 18*o - 21766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2478.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -49c?\nAnswer: 49c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(312) + sqrt(312)*-1*6)\/((sqrt(18)*1)\/sqrt(3)).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 - -11 - 7 - (339 - 290)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 82 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 - m - 1. Let v(g) = -4*g**2 - 8*g - 8. Let y be (0 + ((-5)\/5 - 0))*1. Give y*v(o) + 8*t(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -44821 + 68850. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2542108938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 207 and 10074.\nAnswer: 30222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 558829 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1846129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -23d - 6201?\nAnswer: -6440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the first derivative of b**3\/3 - 3*b**2\/2 - 3*b - 2. Let h = -9 + 17. Let y = h + -4. Determine u(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) -0.8891  (c) 6114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1911 divided by -273\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 5*u - 53467, -5*x + 2*u + 25743 = -63441. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 180 = 2*j. Let w be j*(2 - 21\/9). What is the highest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -425, -858, -1291, -1724, -2157, -2590?\n\"Answer: -433*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.12672157 rounded to 3 decimal places?\nAnswer: 9.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 264 divide 21912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36848847, -36848849, -36848851?\nAnswer: -36848853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -131*t + 150*t - 133 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 31*n + 4. Suppose -2*l + 0 = -4. Does 11 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 10*m**3 - 7*m**2 + 12*m. Let o(p) = -7*p**3 + 5*p**2 - 8*p. Calculate 7*o(c) + 5*x(c).\nAnswer: c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 - 11*h + 7. Let g be a(-10). Let b be (-2)\/4 + 95\/2. Let o = b - g. Calculate the highest common factor of o and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*1.2383\nAnswer: 17.3362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 109, -28, -155, -266, -355?\n\"Answer: u**3 - u**2 - 141*u + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-594\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8086 is divided by 77?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 43*p - 1915 + 1915 + (-1 - 1 + 1)*(p - 5 + 5) + (4 - 3 + 7)*(0*p + p + p + (3 + 2 - 2)*(-p + 2 - 2)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10086*j**3 + 1602936*j**2 + 234657*j\/2 + 4293\/2 = 0. What is j?\nAnswer: -3\/82, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1091*p - 5*c = -1093*p - 7, 5*p + 0*c = -5*c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -12*t - 2. Let m be d(-3). Suppose g - 8 = -g, 5*g + m = s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 958\/18 - 114\/513?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 144937400 to the nearest 100000.\nAnswer: 144900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -437 + 626. Let v = 380 + c. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*s - 5*z - 58, 0 = 2*s - 3*z - 102. Let d = 32 - s. List the prime factors of (-12 - d) + 128*1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/4*(3 + -5). Let n = s - -1. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 120 + -215?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 997949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290044 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p - p - i + 6, 0 = p - 4*i - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 g when two letters picked without replacement from gluuaajjaaja.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46502852?\nAnswer: 2, 11, 31, 103, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 8:06 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/17, 2\/27, -84, -2, -25?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 484 and -1.1.\nAnswer: -532.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32164511?\nAnswer: 19, 23, 89, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 5*z**2 + 2*z + 2. Let h be f(-3). Let b = h + -5. What is the smallest common multiple of (3 - 6) + (0 - -2) + 0 + 7 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 340, 1356, 3050, 5422, 8472, 12200?\nAnswer: 16606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 15*b**2 + 13*b - 2. Let l be p(-13). Let w = l + -88. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 216135, 216122, 216097, 216060, 216011?\n\"Answer: -6*g**2 + 5*g + 216136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**7\/1890 - w**6\/360 - w**5\/54 - 7*w**2. Find p, given that r(p) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1717 divide 342332790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5958, 6058, 6176, 6324, 6514, 6758, 7068, 7456?\nAnswer: 7934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, 0.2, -4, 4711?\nAnswer: 4711","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -111*s + 104*s + 210. What is the highest common factor of s and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 0*x - 3*x**2 - 53 - 20\/9*x**3 - 1\/6*x**4. Find y, given that q(y) = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 40753\nAnswer: -1\/40753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 1:16 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -639646 by 61.\nAnswer: -10486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -16, -20, -24, -28, -32, -36?\n\"Answer: -4*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 176570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + 7b?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 - 3*l**2 - 9*l + 31. Let f be h(3). Which is the nearest to -2?  (a) -2.9  (b) f  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12.3 + -13. Let n = -125.6 + 124.6. Put u, -0.1, n in descending order.\nAnswer: -0.1, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/(2\/(-12))*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, a: 1, t: 9, s: 1}. Give prob of sequence ta.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 4*h + 4 = 0. Let p be (h - (-8)\/5) + -1. Determine a, given that p*a + 0 - 16\/5*a**2 - 2*a**3 = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 103 = -47. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 85, 3, 0 in ascending order.\nAnswer: 0, 2, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + -20 - (-6 + 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + n + 1. Let u(c) = 5*c**3 - 4*c**2 + 9*c. Let j = 44 - 40. Let r(o) = j*m(o) - u(o). What is r(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -628599 at most as big as -628591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5 - -7)\/((-4)\/(-586)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-51))\/((-1)\/3). Let n = 0 + -4. Let m = n - -5. Which is the closest to 0?  (a) h  (b) -2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 1015.9404\nAnswer: 1019.9404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*y - 156 = 3*m, 381 = 5*m + 2*y. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207 + 207 - 2332*n.\nAnswer: -2332*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 607*g + 537*g + 46 + 48 + 315*g**2 - 2*g**3 - 35*g**2 + 1058.\nAnswer: -2*(g - 144)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l**3 - 7*l**2 - 25*l + 9. Let s(y) = 7*y**3 + 9*y**2 + 26*y - 12. Give 4*r(z) + 3*s(z).\nAnswer: -3*z**3 - z**2 - 22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 32a22 (base 14) to base 12\nAnswer: 5b032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1726 - 565*r + 1734 + 1621 - 5081.\nAnswer: -565*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -407*u - 1636. List the prime factors of p(-18).\nAnswer: 2, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -w + 3*n - 12, -4*n + 22 = -2*w. Let b(p) be the second derivative of -p**3\/6 - 2*p**2 - 26*p. Let x be b(w). Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1219.5 + 1220. Which is the biggest value?  (a) -21  (b) 4  (c) j  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 2. Suppose -5*b + 88 = 48. What is the remainder when 28 is divided by k(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-627)\/(-594) + (-141)\/594 + 120\/902?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 + 10 = 2*y - a, -y = -a - 11 + 76 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 186.1755 millennia to decades.\nAnswer: 18617.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8356, 8309, 8258, 8203, 8144, 8081, 8014?\nAnswer: 7943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 11. Let w = -5 + m. Suppose 47 = a - 5*b, -4*b - 183 = -5*a - w*b. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.82 + -0.8. Let q = -0.08 - v. Which is the nearest to 0.1?  (a) q  (b) -1\/4  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288 divided by 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 greater than 1175\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2376 and 8589834?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(12)\/(1*sqrt(2)) - (sqrt(150)*-1 + sqrt(150) - sqrt(150)))\/(sqrt(6)\/(sqrt(3)*-1)*-1) + 0.\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 38, 20, -10, -52, -106?\n\"Answer: -6*n**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ljjljjjljj. Give prob of sequence jll.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -0.0309.\nAnswer: -1.0309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 451921 = -3*h, -7*s - 15 = -10*s. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*m**3 + 13825*m*n**2 + 142505*n**2 wrt m.\nAnswer: 9*m**2 + 13825*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x. Let h(r) = -97*r - 33 + 74 - 41. What is h(n(d))?\nAnswer: -194*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -908452, -1817339, -2726226, -3635113, -4544000, -5452887?\n\"Answer: -908887*l + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16260 and 24?\nAnswer: 32520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0216 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 6*z - 6. Suppose -2*w + 62 = 8. Let v be 12\/(9\/(w\/6)). Let k(d) = d**2 - d + 1. Calculate v*k(x) + p(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fo when two letters picked without replacement from fofoffffqfrrf?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/89316 and 73\/1558068?\nAnswer: 14022612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-37)\/(-259) - ((-3)\/15 + 6\/5).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 41  (b) 0.4  (c) -1\/4  (d) -26.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 4*x**2 + 2*x - 4. Let s be z(4). Suppose -s*m - 7 = -43. Solve 0 = v - 4*r + 21, -v + 0*v = 2*r - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 15 = 5*a. Let s = -5.2 + 5. What is the nearest to s in a, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -251, -287, -341, -413, -503, -611, -737?\n\"Answer: -9*f**2 - 9*f - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 17, 0.13, 1.4, 4, -5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6725020\/17 or 395588?\nAnswer: 6725020\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -68.8 times -5.985\nAnswer: 411.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 - -21 - -6*(-4)\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**3 + 6*t**2 - 2. Determine o(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000548061 rounded to 7 decimal places?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (6\/8)\/((-3)\/(-16)). Suppose -6*j = -5*j - 1, -5*w = -c*j - 31. Let n(k) = k**2 - 11*k + 4. What is n(w)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2. Let h(k) = 2*k. Let c(j) = -3*j. Let p(b) = -6*c(b) - 14*h(b). Calculate p(w(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + k - 1. Let m(c) = 6*c**2 - 7*c + 11. Let u(l) = m(l) + 2*v(l). Let w(y) = -2*y**2 + 3*y - 5. Give -4*u(j) - 7*w(j).\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3075 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -15, -2, -3 in descending order.\nAnswer: 0, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4816.11 nanoseconds in seconds?\nAnswer: 0.00000481611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 11*p**3 + 20*p**2 + 181*p + 312. Give f(-3).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 - 5*j + 7. Let c be w(3). Suppose p + 108 = c*p. What are the prime factors of p\/8*(-1792)\/(-24)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.29 + -0.01. Let x = 0.4 + n. Let i = x + 0. Which is the nearest to i?  (a) -1\/4  (b) -5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 - -26277483318.\nAnswer: 26277483318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 131.45 and -10.7.\nAnswer: 120.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7971 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.2  (b) 2\/3007  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/23)\/(3252\/99728)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/(-2)*(-4)\/(-4))\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 10*i - 2. Let x be b(-2). Let o be (-6)\/9 - x\/6. Solve -7 = -o*y - 2*w, 5*y + 0*w + w - 21 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**2 + 985904*y - 16761524.\nAnswer: 4*(y - 17)*(y + 246493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11440 - -20841. Let d = h - 9411.722. Let z = d + 0.122. Round z to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (15\/1)\/(-59 + 62). Let y(f) = 120*f - 17. Is y(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 121, 250, 385, 526?\n\"Answer: 3*y**2 + 120*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**2 + 17*x - 5. Let b(v) = -v**2 - 1. Determine 4*b(q) - h(q).\nAnswer: -q**2 - 17*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 30447  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 87 - 33. What is the remainder when n is divided by (-6)\/(-15) - (-204)\/15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29502\/5 + 5901. What is the fourth biggest value in 0.4, -2, f, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and -0.02410489880174.\nAnswer: 0.97589510119826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -102 + 45. Calculate the greatest common divisor of f and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.048*-9\nAnswer: -0.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6488?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the third derivative of u**6\/120 + u**5\/60 + 5*u**3\/3 - u**2. What is the least common multiple of 16 and x(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 5  (b) -2  (c) -1\/4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-3)\/(-6)*-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**8\/2016 + 2*l**7\/315 - l**6\/360 - 2*l**5\/45 + l**4\/144 + 2*l**3\/9 - 26*l**2 + 11. Solve r(f) = 0 for f.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-20)*-4*2 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 5*l + 7. Suppose -8 - 2 = -5*c. Suppose -5 - 5 = c*m. Is i(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 925626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 4*(sqrt(6000)*-1)\/((sqrt(144)\/sqrt(3))\/sqrt(4))*3 + -3 + 1)**2.\nAnswer: -480*sqrt(5) + 72004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 5:40 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -1524 + 45 - 3*y**2 - 38 - 166 + 5*y**2 in the form d + g*y + j*y**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of -7*z**3\/6 - 59*z. Let t(o) = -2*o. Determine n(t(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*y + 4*y - 1 + 4 - 5*y.\nAnswer: 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-74)\/(-3) - (-2)\/(-3). Suppose -82*t + 89*t = 420. Calculate the highest common divisor of b and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3134851152 to 3 dps.\nAnswer: 0.313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -3*c**5\/4 + 15051*c**4\/4 - 1819059*c**3\/4 - 5562579*c**2\/4 - 1864233*c\/2 = 0?\nAnswer: -2, -1, 0, 127, 4893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17\/33 + 13\/11. Let v(c) be the first derivative of t*c**3 + 0*c**2 + 4 + 0*c. Let m(p) = -20*p**2. Determine v(m(b)).\nAnswer: 800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/42)\/((-9)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n + 16. Calculate the remainder when 73 is divided by p(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (510\/(-75))\/(15\/(-1575)*-21)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -13480 + 43*r**2 + 13480. Let n(t) be the third derivative of -t**4\/12 - t**2 - 36*t. Calculate u(n(k)).\nAnswer: 172*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 238 times -4.3\nAnswer: -1023.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1343)\/459 + (-4)\/54. Let n be 37\/(-5 + 9 + d). Calculate the greatest common divisor of 259 and n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 7. Let i be u(-6). Let k(x) = -9*x - 8. What is the remainder when k(-6) is divided by 252\/16 + i\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m. Let o(q) = -5*q + 3. Determine o(b(k)).\nAnswer: 5*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 15090962 less than 253?\nAnswer: -15090709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -677\/5 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 223 + 16 + 1 + 5. What is the greatest common factor of 784 and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 + 110. What is the remainder when 30 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**4 - 3*n + 10*n**3 - 8*n**3 - 8 + 3*n to k*n**2 + g*n**3 + s*n + u + i*n**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 20.36686mm?\nAnswer: 2.036686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -7*c + 51. Let k(h) = 2*h**3 - 2*h**2 - h - 2. Let b be k(2). Solve 3*f = -b + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-584)\/(-80) - (-30)\/(-4))\/((-3)\/35)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c (base 13) to base 11.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*w = -48. Suppose 9*i + 21 = w*i. Solve -i = x - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*s - 1758 + 409. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r**3 - 78*r**2 - 9*r - 341. Give l(16).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -201 - -203. What is the greatest common factor of 122 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -180711.99735673 and 5.\nAnswer: -180706.99735673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -28*(1 - 10\/8). Solve 6*z - p*z = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.12  (b) -3  (c) -1\/12  (d) -2  (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 + 12*l**2 + 15*l - 21. Let r be n(13). Which is the nearest to 0?  (a) -4\/5  (b) r  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -j + 5*s - 17, 0 = j + 3*s + 9. Let m be (-760)\/j + 4\/12. Calculate the highest common factor of m and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of -a - 2\/3*a**3 - 7 - 5\/2*a**2. What is v(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 36 = -g, -104 = -0*o + 3*o + g. Let j = 39 + o. Suppose 3*u - d = j*d + 43, u - 5*d = 31. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*d - 34*d - 23*d - 351*d**3 + 82*d + 338*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1029*x**3 - 7*x**2 - 11*x - 1?\nAnswer: 6174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**4 - 186704*t**3 + 4354683312*t**2 + 122040936640*t + 854542791200 = 0.\nAnswer: -14, 46690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 666*k**2 - 5438*k + 861. Calculate i(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -857126\/51 - -16807. Find the common denominator of u and 24\/119.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 71232 - 1162?\nAnswer: 70060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 5*i - m - 0*m, 87 = 5*i + m. Suppose 0 = y - i. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-3)\/(-6)*(-24)\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -35.062 * 1.37\nAnswer: -48.03494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -15*g**2 + 29*g - 16. Let r(o) = 7*o**2 - 14*o + 8. Let k(m) = 13*r(m) + 6*z(m). Let j be k(7). Sort j, -2\/15, 3\/2 in decreasing order.\nAnswer: 3\/2, j, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5184 - -5340. Calculate the greatest common divisor of u and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -673 + 82 = -5*r - s, 4*s - 4 = 0. Suppose -3*j - 2*j + 3*g + r = 0, 0 = -3*j - 3*g + 90. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3502, -7022, -10546, -14074, -17606?\nAnswer: -21142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 35915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000365481773 to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 580 - 552 = 2*n + 2*x, -9*n - x + 3*x - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 56616077 to the nearest integer?\nAnswer: 7524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.0644669l?\nAnswer: 64.4669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -649 + -4479b?\nAnswer: -45228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and 332.1.\nAnswer: 327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 93965*j**6 - 22*j**5 - 3108*j**2 - 258*j?\nAnswer: 11275800*j**3 - 1320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of 133*r**4\/4 + 77*r**3\/3 - 77*r**2\/2 + 830. Let c(g) = 7*g**3 + 4*g**2 - 4*g. Determine -4*b(m) + 77*c(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 655159834 divided by -3\nAnswer: -655159834\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7 - -109?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 167 = 4*i + 5*z - 592, 3*i = z + 574. Is i 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 o, 1 f, and 1 b when three letters picked without replacement from {a: 2, f: 2, b: 8, o: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.16 + 1.1. Let s = n - 0.94. Let t be (1 - -1)*(-2)\/(-12). What is the closest to 1 in t, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -226 divided by -6\nAnswer: 113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000020122 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 904 and 269844?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 848166269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-26)\/(-65))\/(6\/(-15))*(-9)\/(-36). What is the nearest to -49 in -0.5, 13, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3053 - -3050.3. Put z, 0, 15 in decreasing order.\nAnswer: 15, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -5*r**3 + 9 + 2*r**3 + 4*r**3 + 6*r**2 + 5*r**2 - 11*r. Let l be m(-12). Is 16 a factor of (-4)\/l*3*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -207008*h**3*t**2*w**3 + h**3*t**2 - 2*h*t*w**2 + 156*t**2 wrt w.\nAnswer: -1242048*h**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -146910, 4, -4, 2 in descending order.\nAnswer: 4, 2, -2, -4, -146910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-210)\/64)*(-45 - -6) + 1296\/3024?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**2 + 5*a - 1. Let s be (1 - -2) + (-1 - -1). Suppose 10*f = 12*f + 10. Let u(p) = -2*p**2 + 9*p - 1. What is f*d(g) + s*u(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73206 is divided by 327?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-27)\/((-945)\/(-14))*2\/(-4)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1.85, -1, -0.4, -9, 0.0669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -8*k - 1. Let v(f) = -3*f - 1. Let z(h) = 2*u(h) - 5*v(h). What is z(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 257321 divided by 1\nAnswer: 257321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(15\/(-6)))\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 76*b + 85696. Let s(j) = j**2. What is p(s(i))?\nAnswer: 76*i**2 + 85696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 299*x**3 - 1890*x**2 + 17602217 wrt x.\nAnswer: 897*x**2 - 3780*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j - 6. Let n be v(8). Let r be 3 - n\/4*-4. Let m be 0 - 2\/((-2)\/r). Is m at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 - 3*d**2 + 4*d + 2. Let b be f(-3). Let h = -2221\/164 - -12\/41. Calculate the common denominator of (-9)\/b - (-1 - -2) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 4763.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7.94 + 7.44. Let x = -1045\/7 + 149. Which is the nearest to x?  (a) 0.02  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1057 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 4:35 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from poptt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1015166 divided by 1?\nAnswer: 1015166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a + 984 = 1136. What is the remainder when 393 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2433085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 6 + -5)\/((-2)\/(-8)). Let o(b) = b**2 + 9*b + 7. Let z be o(g). Let v(m) = -1060*m**3 + m**2 + m + 1. Is v(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, f: 5, r: 2}. What is prob of sequence gfg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/43128 and 49\/175233?\nAnswer: 2519149608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42494 + 64195. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.018 - 70191799\nAnswer: -70191798.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a millisecond in microseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xhhkxkhxhhhxxhh. Give prob of picking 1 k and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 4*b = -800 + 779, 2*f - 3*b + 22 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-27 + 9 - 7)*(-2 + 0 + 9*i - 11*i) in the form y*i + d and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 13539.7 and 4?\nAnswer: 54158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)*1 - sqrt(8))*4 + -3 + (sqrt(10)\/(-4*sqrt(5)))**2.\nAnswer: -23\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 427\/(-8) + 21\/56. Let p = t + 58. Let s(z) = z**3 - 4*z**2 - 5*z - 4. What is s(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1026123 (base 7) to base 10.\nAnswer: 124575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 76?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36*q**2 - 20*q**2 + 0*q**2)*(2 + 1 - 2).\nAnswer: -56*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14412 + 2431?\nAnswer: -11431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40 + 26 - 1) + -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -953970*c + 869357.\nAnswer: -953970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 4, 1\/5, 0, -5, -13865?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35, 31, 31, 35, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -58 and -0.3?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -112, -374, -924, -1906, -3464, -5742?\n\"Answer: -24*q**3 - 94*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 44 - 14. Let w be ((-4)\/3)\/(s\/9). Let m(y) = -y**2 - 2*y + 3. Let u be m(w). What is the third smallest value in 6, u, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -174995015397 and 276.\nAnswer: -174995015121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 758785\/6 or 126463?\nAnswer: 758785\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -5*z + 2*w, 0 = -4*z + 5*w - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 - 4*b**2 + 5*b - 6. Suppose -3*y - 6 = -5*y. Let m be f(y). Is m\/(-4) + 1*233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3407*k**3 + 14*k**2 - 3*k + 21. Let r be l(-11). Let i = r + -1746465. Round i to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 53, -3, 17, 2, -24\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(833)*-5 - sqrt(833) - sqrt(833)) - (sqrt(833) + 1*(sqrt(833) + -3*sqrt(833)))) + 4)**2.\nAnswer: -1904*sqrt(17) + 962964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 1, i: 7, a: 2}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 14\/4 - ((-156)\/(-24) + -7). Put w, 2, -100 in increasing order.\nAnswer: -100, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: db4fb (base 16) to base 15\nAnswer: 12b269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 + 3*q**2 - 6*q - 3. Let d be z(-4). Suppose -d*r + 716 = -r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16 + 4. Suppose 0 = -5*u - 3*x + 141, 3*u + 0*u + 3*x - 81 = 0. Calculate the highest common factor of u and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 4*d - 1. Let z(l) = -2*l**2 - 9*l + 59. Let g be z(-8). Let q(p) = 0*p + 0*p - p. Determine g*q(h) + c(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3 = -2*b - 5, 0 = -4*l - 16. Solve -d - 3 = 2*i + 1, 4*d - b*i - 36 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168*a + 164*a + 5 = t, 8*a = t - 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/21, -18\/5, 11\/3, 1.1, 1\/2, 4, -2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h - 2 = k + 3, 0 = -5*h + 5*k + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 2295265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -11a3 (base 14) to base 8\nAnswer: -6013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1650922615.\nAnswer: 5, 17, 1142507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 6*u**3 - 22*u**2 - 82*u - 8. Let r be o(6). Determine g so that 2\/11*g - 2\/11 + 2\/11*g**5 + 4\/11*g**2 - 4\/11*g**3 - 2\/11*g**r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3300 (base 4) to base 2\nAnswer: 11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 4*s**2 + 3. What is q(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + -31. Let u = x - -17. Let v(z) = -4*z**2 + 14*z - 10. Let n(h) = -h**2 + 3*h - 2. Determine u*n(f) + 3*v(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*(21\/(-6) + 4). Suppose -b + c*b + 4 = 0. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -163 - -165.4. Let g = 2.8 - f. What is the nearest to 4\/9 in -1\/4, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -88 + 944. Let m = r + -2534\/3. What is the common denominator of ((-2)\/(-30))\/((-4)\/(-654)) and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -83929*t**2 - 5*t - 5544?\nAnswer: -167858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -341, -334, -329, -326, -325, -326?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 + 3*x + 9. Let o be c(-6). What is the greatest common factor of 27 and o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**3 + b - 42*b + 18*b.\nAnswer: 2*b**3 - 23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -n + 31, 2*n = 4*d + 7*n - 27. Suppose 0 = 2*b + 5*b + 21. Let m be (-1)\/(-3) - d\/b. Solve 2*j - m*j + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123 - -206. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/3)\/(1\/21). Let x = 28 + i. Solve 9 = 3*t - x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7 - ((-8 - -11) + 7). Let o = 0.2 + -5.2. Let p = -1 + 1. What is the biggest value in f, p, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from cceaeeeeac?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 214 + (-1 - (-11 + 2)). Is 223 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 9*y**2 - 23*y - 56. What are the prime factors of s(22)?\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, u: 1, p: 1, i: 1, f: 1}. What is prob of sequence upfi?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13433 - -30526. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5.5  (b) -5  (c) 1657\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 - 14098*u**2 - 14096*u.\nAnswer: -2*u*(u + 1)*(u + 7048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 259*v**6\/120 + v**5\/30 + 37*v**4\/6 - 4*v**2 + 25*v. What is the third derivative of q(r) wrt r?\nAnswer: 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (153 + -159)*8\/6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -129.57 times 2.91?\nAnswer: -377.0487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 15\/6*(16\/10)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/27)\/(9\/54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -404*(-2)\/4. What is the highest common factor of 87 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21898888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*p*s**3*z - 7*p*s**2 - 7*p*s*z - 7*p*s + 2*p - 14*s**3 wrt z.\nAnswer: -5*p*s**3 - 7*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 568 divide 32434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43 - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1191 + -1182. Let s be 1 + 2*2\/4. Is p <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20129 - 12517. What are the prime factors of f?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7752491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/k*k*k*k*k*(k**(-1\/2)*k)\/k)\/(k*k\/(k*k\/(k*k**(-5)*k))*((k*k**(1\/5)\/k)\/k*k)\/k)*(((k*k**(-1))\/k)**8)**(-13\/3) assuming k is positive.\nAnswer: k**(1259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*n - 505*n = 15504 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 0 + 5. Let g(d) = -d**3 - 4*d**2 - 3*d - 10. Suppose -18*i - 56 = -4*i. Let t be g(i). Solve -l - q = -t*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 371246236 and 1038.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 equal to 310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 66010 + -1b?\nAnswer: 65bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of y**5\/30 + y**4\/8 - y**3\/2 - 3*y**2. Let g be b(-3). Solve -2*i = -2*q + g, i + 3*q - 5 = 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -60 + 96. Suppose 0*m + 3*m - 12 = 0. What is the lowest common multiple of h and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 275 - 102. Suppose f - 296 = c. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1095954 is divided by 301.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, t: 6, e: 3, a: 2, w: 3}. What is prob of sequence teee?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c - 1 + 1 - 6*c + c + 3*c + (-2 + 5 - 1)*(-1 - c + 1) - 3*c + c + 5*c to the form s*c + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a - 4. Let r be i(5). Suppose -4*x + r + 1 = -g, 2*g = 5*x - 15. Let o = x + 3. Solve -h = -o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2) - 14\/28. Let v = 3 - j. Suppose -3*g + 5*m = -0*m + 25, 0 = -v*g - 4*m + 20. Solve g = 4*s + 12, 0 = 2*r - 3*s - 1 - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 6*m + 3. Let z be b(6). Let r be -2*(z + (-3 - 1)). Solve 0*w + 2*l + 4 = -w, r*l = -2*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - 22\/(-4))\/(1\/12). Let j be (8 - 5) + 1 + z. Let d(n) = n**3 - 5*n**2 - 4*n - 2. Let c be d(6). Calculate the highest common divisor of j and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 + -20. Let l(s) be the first derivative of 2\/5*s - 3\/10*s**y - 2 + 1\/15*s**3. Let l(j) = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23613 (base 9) to base 11.\nAnswer: -10970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -f**7\/14 - f**6\/6 - 3*f**5\/20 - 35*f**3\/3 - 9*f**2 - 4274*f. What is the second derivative of t(m) wrt m?\nAnswer: -60*m**3 - 60*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from ffrhzhzrfvvdrzz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -121, -271, -449, -655, -889, -1151?\n\"Answer: -14*n**2 - 108*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -44*w**4 + 214*w**3 + 332*w**2 - 154*w - 228 = 0.\nAnswer: -1, 19\/22, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(4\/7))\/(c*c*c**(-1\/5)*c))**(2\/29) assuming c is positive.\nAnswer: c**(-86\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17259107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 924902?\nAnswer: 2, 11, 17, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 510 and 612.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of o**5\/10 + o**4\/12 - o**3\/6 - 3*o**2 + o + 70. Calculate the smallest common multiple of j(2) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*i + 67 - 67)*(-2*i + 4 - 2 + 0).\nAnswer: 20*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a - 2. Let t be i(-2). Let g be (-1)\/3*t*-3. Solve 3*w = -g*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7680*-233\nAnswer: -1789440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 10:04 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b + 3*b + 3*b**3 + 3*b**2 - b + 0*b - 3*b**4.\nAnswer: -3*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -10\/6123?\nAnswer: -10\/6123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) 0.03  (b) -3  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 + 43. Suppose a = 2*h - 0*h. Suppose 0 = 4*w - 89 + 9. Solve w = 2*i - h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 771 = 6*g - 3*x, 3*g + 1155 = 5*x. Let d = g - -569. What is the remainder when d is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 0.9?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6480, -6479, -6478, -6477, -6476?\n\"Answer: y - 6481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/637 and -22\/3969?\nAnswer: 51597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (47\/7 - 7)*-21. Let r(q) = k*q - q + 6*q - 4*q + 3*q. Let m(j) = j. Calculate m(r(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -170 divided by -170?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + -3)*-3)**2 - (-3*(1 + sqrt(171)))**2.\nAnswer: -270*sqrt(19) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -n**3\/8 + 398200*n**2 - 12742387*n\/8 + 2389197\/2 = 0?\nAnswer: 1, 3, 3185596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -3*s - 7051, -3*a = -4*s - 8360 - 2219. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -83\/112 - -5427\/7280. Let s = i - -6817\/1820. Sort s, -1, -4 in decreasing order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z - 12. Let o be f(-6). Let c be 70\/9 + o\/(-27). Suppose -19 = -r - 2*x, 5*x = r - 48 + c. Calculate the highest common factor of r and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 6 = h + 3, 0 = 2*h. Suppose 0 = -j - 4 + 7. Suppose -3*s + 3 = -j. Solve k - s*k - d = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3887\/5 - 778. Suppose 4*y + 68 = -2*h + 3*h, 5*y + 121 = 2*h. Which is the third biggest value?  (a) -3  (b) h  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-6))\/(p**(-1\/2)*p)*(((((p*p**(-1\/2))\/p)\/p)\/p*p)\/p)**47*((p**0\/p)\/(p**(-5)*p))\/(p**(-2\/19)\/(p*p**(-2\/7)\/p)) assuming p is positive.\nAnswer: p**(-15984\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-8))\/(((-35)\/40)\/7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 318666200 rounded to the nearest one million?\nAnswer: 319000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4035 divided by -5.\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**5\/30 + 11*i**4\/24 + 8*i**3\/3 - 243*i**2. Give b(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 4*m - 1. Let p be c(-3). Let f be -2*1*(-2)\/p. Let n = -698 - -699. Is n < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -5. Suppose -5*s + 2*q = -17, -7*q = 5*s - 3*q - 11. Solve l - r*l - s = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.588292826 rounded to 3 decimal places?\nAnswer: -1.588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/8 - 0)*-4. Let g(u) = u**2 - 12*u + 7. Let k be g(8). Let m = k - -27. Solve -i*h + m = 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -3\/7  (c) 536\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 179 + 5?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -6*f**3 + 3*f**2 - 5*f + 3. Let x be j(1). Let u(r) = -r**3 + 2*r**2. Let m be u(2). Let q = -3 + m. Sort q, -9, x in increasing order.\nAnswer: -9, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -1\/2, 4459, 0.4, -0.06?\nAnswer: 4459","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 10 + (-3 - -7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 12, 95, -2, -10, 21.\nAnswer: -10, -2, -1, 2, 12, 21, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2156.72 and -357613.\nAnswer: -359769.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i + 1. Let y be m(1). Suppose y = 4*n - 9*n + 10. Solve 5*b - 3*q = 17, 0 = -n*q - 0*q + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1060 divided by 212.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is v in 175*v**4 - 6876110*v**3 + 14143895*v**2 + 19841480*v - 1178700 = 0?\nAnswer: -1, 2\/35, 3, 39290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13803\/(-86)*(-650)\/(-975)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 7*q**2 + 4*q + 30. Determine i(-8).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -9189, -36772, -82781, -147246, -230197, -331664, -451677?\n\"Answer: -5*h**3 - 9183*h**2 + h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 11 = o, 349 = 2*k + 345 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 - 1987*x\/2 - 259857.\nAnswer: (x - 2221)*(x + 234)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/6 in -3, -5, 154509, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 35*j**2 + 4*j. Let m(o) = 3*o. Determine m(u(v)).\nAnswer: 105*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*j + 94, v + v = 5*j - 102. Let w = 162 + 80. Calculate the greatest common factor of j and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 * -118.\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/7  (b) 1\/2  (c) -81  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277625?\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 16.3915829.\nAnswer: -20.3915829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/48*12*(-6)\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w - w - 3*w + (w - 2*w + 3*w)*(-4 + 5 + 0))*(-1517 - 775 + 211).\nAnswer: -8324*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n + 6*n - 4*n)*(-2*n**4 + 0*n**4 + 3*n**4 + (-2 - 3 + 3)*(3*n**2 - n**4 - 3*n**2))*(25 + 7 - 8).\nAnswer: 504*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 3:22 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -490 by 245.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1072)\/(-36) + (-6)\/(-27). What is the highest common divisor of d and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1902976836 - -1902976822.99999937. Let g = i + 13. Round g to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3791457700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -679 - -0.12686481\nAnswer: -678.87313519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113656 = 2325*j + 311281 for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209772286 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 800 and 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 38 and 2774?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgqlqkjbklkgqkb. Give prob of sequence jgg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1260, -2026, -2758, -3438, -4048, -4570, -4986?\nAnswer: -5278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + f - 7. Let a be d(-4). Suppose a*i = k + 127, -5*i = -4*i + k - 29. Let s = 47 - i. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/(sqrt(9)*1) + 5)**2 - (sqrt(200) + -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**3 - 107*i**2 + 42*i + 34. Calculate j(-35).\nAnswer: -3886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -4*m - 24. Let t be z(-7). Let k be t*((-9)\/6)\/(-3). Which is the closest to -1\/2?  (a) -2  (b) k  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y + 7. Let z be t(-6). Suppose 57 = 12*a - 27. Suppose -2*i - 5*l - z = 0, -a*l = -2*l + 25. Is -0.04 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -105*a + 18*a - 2300 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/6  (b) 0.3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r + 2. Let h(g) = -g. Give 6*h(d) - s(d).\nAnswer: -9*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2370, 4735, 7100, 9465, 11830?\n\"Answer: 2365*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 330\/(-315) - (14\/(-21))\/(5 + -3).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -z + 12. Let i(t) be the third derivative of -t**6\/120 - t**5\/12 - t**4\/6 + t**3\/6 - 7*t**2. Give i(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 96563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-24*6)\/6*((-15)\/(-315))\/(-1)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 8:57 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 43 and 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 238 and 1708.\nAnswer: 29036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n - 7. Let i(m) = m + 3. Suppose -5*l - 12 = -5*k + 13, 0 = 4*l + k + 30. Calculate l*i(f) - 3*j(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 + 3*w + 6. What is d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/4  (b) -0.12  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*q, -2*q = a + 31 - 29. Solve a*o - 55 = 13*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 19*d - 62*d + 1)*(5*d**2 + 0*d**2 - 3*d**2).\nAnswer: -154*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/12)\/((-1)\/3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -10943334.\nAnswer: 5\/10943334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -10\/67803 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00861 to 4 dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12385.21 + -12480. Let r = -96 - c. Round r to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (-1 + sqrt(200) + -1 - sqrt(200)))**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 29240512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -254, -232, -200, -158, -106?\n\"Answer: 5*g**2 + 7*g - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 5*i, 4*i - 5*i = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - 6 - (-21 - -20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5408964 divided by -40977.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h + 2 - 2. Let i(m) = 3*m - 4. Let t(a) = 4*a**2 - 90*a - 13. Let w be t(23). Let d be ((-16)\/(-12))\/((-44)\/w). Give d*i(q) + 4*x(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 9*r + 4. Let j be v(-1). Let o = -0.1 - 0.4. Let q = -0.8 - o. Which is the third biggest value?  (a) -0.2  (b) q  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(6) - sqrt(96)*2))\/(-2*sqrt(192)*1))**2.\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-1084680)\/943)\/(-36) + -32\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 52 = 3*x - 118, -7*l = 2*x + 109 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004609752393 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-107426)\/(-22616))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 3:23 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 64*i + 65.\nAnswer: -(i - 1)*(i + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) + (-1*sqrt(2448) - sqrt(2448)) + 4 - sqrt(2448))*4 + -2 + 5*(5 + 1 + sqrt(2448) + 0))**2.\nAnswer: -3168*sqrt(17) + 23968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7438?\nAnswer: 2, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 75.46 + 1.94. Round v to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/15 - (0 + (-69)\/15). Solve -y + 3*p = j - 1, -2*p = 5*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-12)\/(-15)*162\/486*-75?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2561500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 82 + -52. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 6 - -22 - 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-19)\/4 + 2\/(-8). Let b = -2 - -5. Suppose -3*x = 0, -3*h - 3 = -2*x + b*x. Sort h, m, 3.\nAnswer: m, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*s + 5*s - 69*s)*(2*s**4 - 4*s + 4*s).\nAnswer: -154*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -643*a = -517*a - 13412826. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m - 10633*m**3 + 3*m + 10625*m**3 - m**2)*(-3 + 8 - 25) to the form x*m + v*m**3 + b + c*m**2 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 208676613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 + 92 = 26*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 AM and 10:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 0 - 2 - 3 + 4*d - 2*d. Let l be k(4). What is the closest to 0 in -4, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(-15)\/(-25)*5\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.842218 kilometers to nanometers.\nAnswer: 1842218000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(162))**2 + sqrt(12)\/(-1*sqrt(6)*-1) - -6*(sqrt(108)*2 + sqrt(12) - sqrt(12))\/((sqrt(36) + sqrt(324))\/sqrt(6)).\nAnswer: 10*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 256408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2563 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1\/11  (b) -10  (c) 7.7  (d) -5  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6472*n - 7*n**2 - 5*n**3 - 6472*n + 3*n**3 - 6*n**4 - 2 to the form r*n**4 + a*n**2 + z*n**3 + b + o*n and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 408\/13 or 30?\nAnswer: 408\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 172 divide 16168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 1)*(-45 - 42\/(-6)). Let n = k - -42. Solve 5*d + 14 - n = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of y**6\/120 + y**5\/20 + y**4\/12 - y**3\/6 + 5*y**2. Determine o(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*h - 21 + 21.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/18 of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (54 - 20) + -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -93, -95, -109, -141, -197?\n\"Answer: -v**3 + 5*v - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10004\/488 + (-153)\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of -t**6\/120 + t**5\/10 + 7*t**4\/24 - 5*t**3\/3 - 49*t**2. Calculate q(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 + j. Let x = 46 + -44. Let l(s) = -s**2. Let n(d) = x*k(d) - 3*l(d). Let n(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**12\/t)\/((t\/t**44)\/t*t*t) assuming t is positive.\nAnswer: t**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 0.0139.\nAnswer: 0.0695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*p - 32532 = 21*p + 2*n, n + 1 = 0. What are the prime factors of p?\nAnswer: 5, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 11\/(11\/(-14)) - (-4)\/1. Let o(w) = 2*w**3 + 32*w**2 + 6*w + 16. List the prime factors of o(i).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from iivuufuyvuv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from jjzjzbjjjzjwzjbtjjjz.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 15 = -6*j. Let r be (-5)\/(-2) - j\/6. Factor m + 2*m**2 - m**r - m**3 - 10*m**4 + 9*m**4.\nAnswer: -m*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**2 + 5*f**2 - 13*f**2 + f**3 + 7*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 5 = -3*g, g - 4*g = -15. Suppose -3*q + 1 = n, -i*q + 10 = n + n. Calculate the highest common divisor of n and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - -3b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49615 - 8*l + 24806 + 24809 + 0*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 1 - -2) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50753871.\nAnswer: 3, 7, 89513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 7*a**2 + 15*a + 3. Let f(r) = 2*r**2 + 4*r - 22. Let o be f(3). Let v be 13\/(-2) + 4\/o. List the prime factors of m(v).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - -231254347\nAnswer: 231254347.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -17*(98\/(-1045415))\/(4\/(-20))?\nAnswer: -2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + -56628192505853.\nAnswer: -56628192505852.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*o - 48 + 108 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32.55 - -28.55. What is the closest to -1 in 33, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - 34. Let m = 28288 + -28350.892. Let w = k - m. What is w rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 3 + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/3*(522\/45)\/(-29)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and 0.3941180333.\nAnswer: 0.6941180333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14898 and 54678.\nAnswer: 10443498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 8*v**2 + 6. Let u(z) = z**2 + 1. Let r(x) = b(x) - 2*u(x). What is the derivative of r(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v - 9. Suppose 0*j + 2 = j. Let g be j\/6 + 1\/(-3). Suppose g*a = a. Determine n(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 116, 117, 118, 119?\n\"Answer: x + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 124 + -181. Let p be 3\/(-12) + v\/(-4). What is the units digit of (-54)\/(-42) + (-4)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {j: 2, a: 1, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 136, 266, 370, 436, 452, 406, 286, 80?\n\"Answer: -2*w**3 - w**2 + 147*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -54.34860923 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -4*k**2 - 565*k + 6. Let i(r) = 12*r**2 + 1695*r - 17. What is -6*i(f) - 17*s(f)?\nAnswer: -4*f**2 - 565*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -83, 0, 4, 6, 3 in decreasing order.\nAnswer: 6, 4, 3, 0, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v - 7*o + 44, -17004*v + 5*o + 30 + 5 = -17001*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 408 and 8007?\nAnswer: 64056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/3*34\/(-17)*1\/((-12)\/(-44)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 2673441 and -0.4.\nAnswer: 2673440.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 2*u + u + (3*u - 2*u + 0*u)*(-3 + 0 + 5))*(11*u + u + 3*u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3*r = 117, b - 5*r = 56 - 21. Suppose 223 = -3*f + 2*x, 2*f - 2*x + 108 = -b. What is f rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -3, 7, -4, 18372?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/80 + 14495\/1040.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-one halves of a year?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 1429*m. Let o(g) = -5284*g + 2. What is j(o(t))?\nAnswer: -7550836*t + 2858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -2*n + 2*m, -4*n + 228 - 95 = m. Let z(t) = -2*t**2 - 3*t + 24. Let c be z(-4). What is the highest common divisor of c and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 - 15645?\nAnswer: -15638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 8\/2 - (-2 + 4). Let r be y\/2*(4 - 0). Suppose r*v + 4*d - 1384 = 0, -2*v + 1730 = 3*v - d. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 844866.81 milliseconds in hours?\nAnswer: 0.234685225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 19*g + 141. What is y(-14)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 230187227.\nAnswer: 230187227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 1\/10*s**2 - 1\/100*s**5 - 7\/60*s**3 - 4*s + 0 + 7\/120*s**4. Solve g(c) = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 10972.\nAnswer: 2\/2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 173, 738, 1679, 2996, 4689, 6758?\nAnswer: 9203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(9\/7)*(o*o**1)\/o)\/(o**(-2\/55)*o**(-8\/7)) assuming o is positive.\nAnswer: o**(1719\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 269 - 465. Let t be (-4)\/21 - (-28)\/u. Sort -2, t, -3, -4\/3 in increasing order.\nAnswer: -3, -2, -4\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**3\/6 - 745*t**2 - 8905*t\/6 + 2230 = 0. Calculate t.\nAnswer: -892, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 636827?\nAnswer: 636827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 - (6\/(-8) - (-2483)\/468))*-3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes before 4:52 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 1\/5, 243\/5, 0.16, -0.4, 39?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 164037533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = x + 6, 202*x - 6 = 205*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.04 - 5.04. Let j = -4 + 3. What is the nearest to 0 in j, -3, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (35 - 33 - 1182*o + 1191*o)*(-2*o**2 - o**2 + 5*o**2) to a*o + b*o**2 + u*o**3 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3851981173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1\/3  (b) 0.6  (c) 14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**0)**9\/(o**(3\/4)*o\/(o\/(((o**(-5)*o)\/o*o)\/o))) assuming o is positive.\nAnswer: o**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 151*l**2*x - 4497*l**2 + l*x + 26708*l + 5 wrt l?\nAnswer: 302*x - 8994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 9:37 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -78 + 66 + (14 - 4 - -85 - (2 + 1))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/12*-110*48\/(-1600). Let m = -0.06 - 0.14. Is o at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -1386.499917015 - -1386.5. What is z rounded to 6 decimal places?\nAnswer: 0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 0*d**2 + 5*d**2 - 171 + 200*d + 109 - 143 = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 399 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uzzzuzuuuz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8934 divided by 2?\nAnswer: 4467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 - -51. Calculate the remainder when x is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23922 + 23930. Suppose 0 = -6*h + h - 20. Let c(f) = -f**3 - 4*f**2 - 4*f + 4. What is the lowest common multiple of c(h) and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 4*p**4 + 2*p)*(2*p + 0 + 0) + (2*p**2 + p**3 - 2*p**2)*(-47*p**2 - 356 + 356).\nAnswer: -39*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**2 + 1046*s - 34160 = 0.\nAnswer: 35, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 4 - 19. Let d(p) = 2120487*p - 12. Let r be d(m). Let c = r + -7102423. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 + -13. Suppose 4*l - q + r = 0, -q = 2*q + 3. Let k = -83\/5 - -17. What is the smallest value in -1\/8, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 60.09418 milligrams?\nAnswer: 0.06009418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2846, 2828, 2720, 2522, 2234, 1856?\nAnswer: 1388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 70*a*g**4 - 273207*a*g**3 - 207237898*a*g**2 + 2*g**4 wrt g.\nAnswer: 1680*a*g - 1639242*a + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225*t**3 - 2767045*t**2 + 8507233735*t + 189051005.\nAnswer: 5*(t - 6149)**2*(45*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(242) - sqrt(50)*2) + (4*sqrt(22)\/(sqrt(1100) - -1*sqrt(1100)))**2.\nAnswer: 2\/25 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q + 12 = -0*q. Which is the closest to q?  (a) 0  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5709 = 423. Let q = g - -305. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h. Let w be f(-3). Let k be ((-18)\/(-42))\/((-3)\/(-2)). What is the nearest to 2\/7 in k, -5, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31*a*w**5 + 3*a*w**3 - 96*a*w - 2*w wrt w?\nAnswer: 620*a*w**3 + 18*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 - 2. Let t be q(-2). Let w be ((-8)\/t)\/((-3)\/18). Let f(u) = u**3 + 8*u**2 + u + 11. Let x be f(w). Solve 0 = -x*b + 4 + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + 0*z**2 - 2*z**2)*(369 - 735 + 365 + 187*z).\nAnswer: -187*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1381234987 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -2*c - 4, -3*n + 4*c = 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -7d (base 14) to base 7\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -22203 or -22206?\nAnswer: -22206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116204535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*p + 278480 - 278140 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1629 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**6\/12 - 3*w**5\/2 + 49*w**4\/8 - 19*w**3\/2 + 11*w**2\/2 - 2008. Let u(c) = 0. What is c?\nAnswer: 0, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*j - 43*j - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/9)\/(t\/(t*t*(t*t*t\/(t\/t**(3\/7))*t*t)\/t)*t))\/((t*t*t\/(t\/(t*t**(2\/13))))\/(t\/(t\/((t\/(t*(t**(-1\/16)\/t)\/t))\/t)))) assuming t is positive.\nAnswer: t**(20435\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*f, 3*k = 5*k - f - 1. Let v(h) = 6 - 3*h**2 + 8*h + 2*h**2 - 19*h + 3*h**k. Let j be v(5). Solve 9 = 4*z + j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*2442798.\nAnswer: 7328394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -81, -2, -498, 5 in decreasing order.\nAnswer: 5, -1, -2, -5, -81, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 42*i**3 + 13 + i**3 + 3*i**4 - i**4 - 3*i**4 in the form n*i**3 + v*i + g*i**4 + t + a*i**2 and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 4*l**2 + 7*l - 7. Let i be q(5). Let m = i - -1. Find the first derivative of 1 + o**m + 1 - 4 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -397\/252511 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i, -3*l + 3 = -2*l - i. Suppose l*k = -7 - 5. Are k and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 49. What is the highest common divisor of j and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f. Let m(a) = -857*a**2. Calculate r(m(o)).\nAnswer: 857*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 8 - 2. Solve -r - j*c - 7 + 3 = 0, -r - 1 = 2*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.6 * -72.2.\nAnswer: -115.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -3*u + 7*u - 85608, -5*j - 128407 = -6*u. Is 111 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes after 12:58 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 455*s - 458*s = 6*i - 6, 5*i - 16 = 3*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 131 + -133. What is the closest to 0 in k, 1\/5, -13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 121 = -a, 3*a + 3*d - 601 = -214. Suppose -12*t + 2*r + 160 = 0, -9*r = 4*t - 10*r - 54. Calculate the remainder when a is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/46280 and 9\/2400775?\nAnswer: 19206200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3\/9 - 16364594*b**2\/9 + 3719444475600*b - 3719442657312.\nAnswer: 2*(b - 4091148)**2*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -47, -129, -241, -383?\n\"Answer: -15*m**2 - 37*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2857, -2858, -2859?\nAnswer: -2860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18.8 - -20. Let y = -3.24 + 2.84. Sort y, -3, i in ascending order.\nAnswer: -3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*z - 64. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5352*j - 5337*j - 195 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 107 - 64. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 6 + (-1 - 4) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 477795514984.79 plus -0.2?\nAnswer: 477795514984.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 492 divide 946576613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 1 = -8. Find the third derivative of 9*j**2 + r*j**5 + 3*j**5 - 2*j**5 + 3*j**5 wrt j.\nAnswer: 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + u**2 - u + 1. Let r(s) = -4*s**3 - 6*s**2 + 2*s**2 + 5*s + 2*s**3 - 3. Suppose 9 = 3*x - 0. Give x*p(j) + r(j).\nAnswer: j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.02717  (b) 0.04  (c) -3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 13017*c**3 - 7*c**2 - 3*c - 13. Let q be v(6). Suppose 0 = -4*f + q + 948611. What is f rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -3951634\nAnswer: 1\/1975817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 294344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -4776 + 2*c + 4776 - 2*c - 30*c**2. Let f(v) = -15*v. Calculate n(f(y)).\nAnswer: -6750*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.7 - 2.3. Let o = -0.1 - j. Which is the second smallest value?  (a) -4\/9  (b) 5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11003*l + 18816*l + 30120*l + 9411*l.\nAnswer: 47344*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jrrrujrjjr. What is prob of sequence ru?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/9 - 1760\/(-396). Suppose y*i + 19 = 39. Solve -3*q - i*k = -0*k - 17, 3*k = 4*q + 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/444 and 23\/21.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 1820.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 11) + -1 + (3 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/3))**(1\/18)*t**(4\/5)\/t*t**0 assuming t is positive.\nAnswer: t**(-32\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 56, 107, 160, 215?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 6933, 6934, 6937, 6942, 6949, 6958, 6969?\n\"Answer: i**2 - 2*i + 6934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1091391693*h**2 - 806361103*h?\nAnswer: 2182783386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 464 is divided by (-12)\/((-16)\/(-16 + 32)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1169792988 and 0.\nAnswer: -1169792988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2*h = 18. Let p(b) be the third derivative of -b**4\/24 - b**3\/6 + b**2. Calculate the least common multiple of p(-5) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 5, 0, 4 in increasing order.\nAnswer: 0, 4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 24*l**3 - l**2 + l - 4. Let x be z(2). Let n = x - 59. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(1 + -5) - -3. Suppose n = 6*m - 10*m - 12. Let w = 6 - m. Calculate the least common multiple of 5 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f = -7*f. Suppose 2*q + 24 = 4*k - f*q, -2*k - q + 12 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/k**7)\/k)**(-2\/49))**(-1\/9) assuming k is positive.\nAnswer: k**(-4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**4 + 24*q**3 - 108*q**2 + 112*q.\nAnswer: q*(q - 2)**2*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53)\/(-530)*(-5)\/(-7)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.6*-24.8.\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 10*s. Let u(a) = -18 - 18 + 35. Let v(i) = p(i) - 2*u(i). What is v(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 + (-11 - -3) - -2. Let o be (-2)\/6 + i\/(-9). Let t = 87\/77 + 1\/77. Is o > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 115 - 127. Let a(x) = -x**2 - 11*x + 10. What is a(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201*a - 193*a = 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -3 - (-11 + 41 - (0 + -4))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 5)*(15*q - 9*q + 6*q)*(2*q + 2 - 4 - 5*q)*(-2*q**2 + 2*q**2 + q**3).\nAnswer: -72*q**5 - 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + 0 + sqrt(700))**2.\nAnswer: -180*sqrt(7) + 2127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykz when three letters picked without replacement from yizkiilil?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/60 and 13\/21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57 + -45. Suppose 54 = -11*k + r*k. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -4*s**2 + 204*s - 5. Let l be h(51). Sort 5, 217, l, 1 in decreasing order.\nAnswer: 217, 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3360 + 10044 = -557*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 365 - 534. Let a be 1 - 1 - (29 + 0). Let s = a - p. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4*((-95)\/25 + 3) and -6\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o. Let s(q) = 3*q. Let a(c) = 17*r(c) - 6*s(c). Let g(p) = -p**2 + 3*p - 2. Suppose -2 = t - 1. Let n(j) = t*g(j) + 2*a(j). What is n(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 184*-22.\nAnswer: -4048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + 8*j - 6. Suppose -j*i + 10*i + 28 = 0. Let h be (-6)\/81 - 1278\/2430. Which is the closest to 0?  (a) h  (b) 0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 - 2*p**2 - 5*p + 3. Suppose 6 - 5 = -f + i, 4*i - 1 = 5*f. Let b(m) = -2*m**2 - 4*m + 2. What is f*b(y) - 2*w(y)?\nAnswer: 2*y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 36\/21 + (-4)\/(-14). Let z = u - 0. Calculate the least common multiple of 11 and 28\/20 - z\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -840915 - -860256116\/1023. Calculate the common denominator of 65\/372 and h.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 4 - (1 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - ((-172)\/(-215) - 48\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 10 = 5*k, 14 = -k + 12. Find o such that d - 2\/5*o**3 - 2\/5*o**4 + 2\/5*o**5 + 2\/5*o**2 + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - b - 11. Let m be x(-7). Suppose -2*h = 5*g - 57 - 53, g + 5*h - m = 0. What is the lowest common multiple of 16 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*n + 4 = 1, -2*q + 9 = 5*n. Let b be (2 - 1)*(q + 5 + -2). Is 1\/46 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -209*a + 2472 - 1602 + 2265 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 95220 and 31740.\nAnswer: 95220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -11*d**3\/6 - 10382*d**2\/3 - 9815687*d\/6 - 2667747 = 0.\nAnswer: -943, -18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 72177461387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 6*z**2 + z - 6. Let f be h(6). Let o(t) = t**3 + 3*t**2 - 14*t - 16. Let k be o(-5). Which is the closest to -0.1?  (a) f  (b) -4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -1264333?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1156584*b**3 - 1190020*b**2.\nAnswer: -6939504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yrykd. Give prob of sequence ry.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1ee (base 15) to base 6.\nAnswer: -2025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156465 - 156465 - 3073*s**3.\nAnswer: -3073*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13237 = 124*i - 21545 for i.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 100.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)*p*p*p)**21\/(p\/p**(-10)*p**(-1\/4)\/p) assuming p is positive.\nAnswer: p**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 8*b**2 - 12*b + 39. Let m be w(7). Suppose 42 = 4*q + 2*r, 30 = -7*q + 9*q + m*r. Solve 0*o + 45 = -q*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 5*j + 2. Let v be x(4). Let l = 30 + -22. Calculate the remainder when l is divided by ((-1)\/v)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 PM and 8:13 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vdvddvdvvvddddddy. Give prob of picking 3 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 0 + 0*v + 1\/12*v**4 + 1\/120*v**6 + 1\/20*v**5 - 12*v**2 + 0*v**3. Determine b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -938139 - 0.055012?\nAnswer: -938139.055012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -86 + 88 - 9*n**2 + 2*n**3 + 2*n + 10*n**2. Let d be r(2). Which is smaller: 28 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -846*j**3 - 3654*j**3 - 150 + 150.\nAnswer: -4500*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -3\/2  (b) 0  (c) 1  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q + r - 7, 3*q - 1081*r - 11 = -1079*r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7609 + -7606. Find l such that 2\/9*l**4 + 0*l + 4\/9*l**2 + 0 - 2\/3*l**w = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 225*k**2 - 437*k**2 + 218*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 208, 213, 232, 271, 336, 433, 568?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1228607 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -36836729 divided by 2?\nAnswer: -36836729\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/2 and 17\/17372814.\nAnswer: 17372814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4)*(3 + -3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 214 + 224 + 228 - 665 + 30565*h.\nAnswer: 30565*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*((-258)\/(-66) + -4)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.05 - -0.05. Let n be 3\/(76\/8 - -4). Which is the closest to 0.2?  (a) n  (b) f  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 123*f**2*l**2 + f**2*l + 25*f**2 + f*l**4 + 7*f - 6 wrt l.\nAnswer: 246*f**2 + 12*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.086 + 54.414. Let o = q + -55. What is the nearest to -2\/7 in -2, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 44, -3, -17.5, -25, -0.11, 4\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 1. Let w(o) = -o - 3. Let y(v) = -a(v) + w(v). Let z be y(-6). Suppose 0 = m - 4*x, -4 = -m + z*x + 6. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 116\/(-29) + ((-6)\/4)\/(33\/(-22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/23435, -0.2, -5, 2\/7, -0.1 in ascending order.\nAnswer: -5, -0.2, -0.1, 3\/23435, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 4 - 14767*k + 5 - 22082*k as l + z*k and give z.\nAnswer: -36849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4.5  (b) 136  (c) -930\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244764.\nAnswer: 2, 3, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8347213 rounded to 3 dps?\nAnswer: 0.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 6*b**2 - 6*b - 5. Let m be x(4). What is the highest common factor of m and 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of z**5\/110 - 23*z**4\/66 + 5*z**3\/11 - 4*z**2 - 4. Factor a(p).\nAnswer: 2*(p - 15)*(3*p - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 404 = 5*q + 354. Calculate the highest common divisor of q and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 100044 - -32213224?\nAnswer: 32313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 563621356 is divided by 1535753.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -25. Let h = 14 + -12. Calculate the smallest common multiple of -12*(h - 3) + -2 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37.7 + -38. Which is the fourth biggest value?  (a) 0  (b) q  (c) 6\/11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148 = 5*v + r + 4, -83 = -3*v - 4*r. What is the remainder when 55 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/1 + 2 + 0. Suppose -6*g - 37 = -3*k - 11*g, -4*k = -2*g - 32. Let n be 84\/k + d\/(-3). Solve 0 = -h - 4*p + 13 - 6, -n = -2*h - 4*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16358186261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**2 + 4*k**2 + k**3)*(8*k - 5*k + 2*k).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(1\/2))\/((-24)\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 348924.3g?\nAnswer: 0.3489243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1)**(-1\/14)\/((s*s**(1\/4))\/s)**(-1))\/(s**(-2\/17)\/s**(2\/5))**2 assuming s is positive.\nAnswer: s**(2889\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1846, 1847, 1848, 1849?\n\"Answer: q + 1845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.67 and 4819.\nAnswer: -3228.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l + 59261 - 56502 - 3*l + (-1 - 2 + 2)*(l + l - 3*l) + 0*l + l - 3*l)*(-l + 3*l**2 + l) to b*l**2 + c + t*l**3 + v*l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 40634.2 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kotbooog. What is prob of picking 1 t and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -7*q + 33*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d + 13. What is l(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*a, 2*a - 6*a + 4 = 3*v. Suppose c - 4 = -v*c. Suppose 2*q - 3 = 5*t - 0*t, -4*t - c*q - 8 = 0. Is -2\/49 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 72 + 345. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20918, 83852, 188794, 335738, 524678, 755608, 1028522, 1343414?\nAnswer: 1700278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51217\/1263 >= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the second derivative of -k**6\/180 - 7*k**5\/10 - 147*k**4\/4 - 35*k**3\/6 - 87*k. Let m(w) be the second derivative of j(w). Factor m(t).\nAnswer: -2*(t + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 763, 0.4, 10.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 30, 61, 208, 549, 1162, 2125?\n\"Answer: 13*w**3 - 20*w**2 + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -152123196 - 44.\nAnswer: -152123240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ninety-nine quarters of a meter in millimeters?\nAnswer: 24750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 9:51 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 24 = -t. Suppose -21 = s - 5*d, -5*s - 2*d + 25 = -d. Let m(p) = 1 - p - p + s*p + t. What is m(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -93*v - 87*v + 0 - 1. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 35644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6614673*c*o**3*t**3 + 10*c*o**3*t - c*o*t**3 + 4*c*o*t**2 - 705*c*o*t - o**2*t**2 wrt t?\nAnswer: 39688038*c*o**3 - 6*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*m**3 + 6*m + 2*m**2 - 2*m**2 + 10*m**3.\nAnswer: 25*m**3 + 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sojmkks. Give prob of sequence ks.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4\/3, -2, 0.4, 0.18, -177?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - 17. Which is the closest to r?  (a) 5  (b) 3  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**4 - 2*b**4 + 2*b**4 + (2*b**3 - 12*b**3 + 0*b**3)*(b - 2*b - b).\nAnswer: 21*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 3*l - 12 = -0, 4*d + 4*l - 16 = 0. Let x(f) be the first derivative of d*f**5 + 0*f - 1\/3*f**6 + 0*f**2 + 1\/2*f**4 + 2 + 0*f**3. Factor x(q).\nAnswer: -2*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 + h - 9. Suppose -m - 10 = m. Let p be o(m). Suppose -4*j + 5*b + 116 = 0, -3*j - 4*b + 45 = -p. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -98\/362967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 25 = a + j, 38 = 2*a + 5*j. What is the third derivative of -a*c**3 + 3260*c**2 - 11*c**3 - 3264*c**2 wrt c?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 7 = -2*d, -5*d - i + 1 = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73.63838um to kilometers.\nAnswer: 0.00000007363838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 112 + -107. Sort 1, -0.2, -4\/7, i in descending order.\nAnswer: i, 1, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, y: 5}. Give prob of sequence ye.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37240)\/(-1330) + (1 - 51)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 21, 0 in descending order.\nAnswer: 21, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3772)\/(-276))\/((-17)\/51).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 691009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.012 in -510, -0.01, 101?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence svsv when four letters picked without replacement from ssvsvsssssssvs.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5174.\nAnswer: 2, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 340629717643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -8) + -7 + 7 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.8 - 3.5. Let k = 0.7 + q. What is the third smallest value in k, 0.06, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*g + 117*g = 54*g - 2464 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -156, -310, -452, -582, -700, -806, -900?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/(-4)*(-12 + 4). Let d = k - 8. Solve -2*w - 2*n = -8, 8 = d*w - 0*n + n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -244*i - i**2 + 128*i + 116*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*z**5 - 15600*z**4 + 2129036*z**3 - 2113464*z**2 = 0. What is z?\nAnswer: 0, 1, 1646\/7, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -20*z + 17*z + 3*z**2 + 8*z. Let p be r(-1). Suppose 3*a + 2*a = 5*l, 2*a = -4*l - 18. What is the closest to 1 in -2\/13, l, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 - 23 = -4*w. Let o(j) = 8*j**2 + 1. Suppose 3*a - d = 5, 6*a = 9*a + 2*d + 1. Let u be o(a). Calculate the highest common factor of w and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 6:38 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 8*p + 6. Let w(d) = 188*d + 116. Let s(y) = -24*u(y) + w(y). Calculate s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 5*a + 4, 8*a - 3*a = 0. Suppose -45 = -h*y - d, 5*y = d - 0*d + 95. Let o = 1 + y. Solve 5*b = -3*c + 7, b = 2*b - 5*c + o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0693885 times -0.294\nAnswer: 0.020400219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.112*0.0298.\nAnswer: 0.0033376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s + 6. Let t be o(6). Suppose t = -5*k + 685 - 70. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10988 by 67.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86126113*d**2 + 389 + d - 86126071*d**2 - 387 - d.\nAnswer: 42*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 16) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than 284605512909261?\nAnswer: 284605512909260.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z - 3453 - 474 = 0. What is the lowest common multiple of z and 1479?\nAnswer: 16269","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.05 - -0.02. Which is the closest to -1\/2?  (a) x  (b) 0.5  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 2*x - 3\/2*x**3 + 0 + x**2 + 2\/3*x**4 + 1\/20*x**5. Let l be j(-9). What is the highest common divisor of l and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 238 = -v + 139, 3*v - 3*c - 1107 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -14. Let y = 6 + n. Which is the nearest to 0.2?  (a) y  (b) 2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -i - 29, -3*k = -0*i + 3*i - 21. Let y = -26384 + 26386. What is the closest to -0.3 in -0.5, y, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.01, 5, 0.3, 7\/6, -0.17, -10 in decreasing order.\nAnswer: 5, 7\/6, 0.3, -0.01, -0.17, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.027801078 - -0.0278. Round s to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/2*(-6)\/9. Let n = 67\/3 - 23. Let t = -0.15 + 3.15. Put t, n, o in ascending order.\nAnswer: n, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*q - 27205 = -872*q - 2581 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 4*a**2 - 79*a + 23. Is t(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2661077971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2414734 divided by -5?\nAnswer: -2414734\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -3*k + 71. Suppose 276 = 95*z - 5*z - 21*z. Suppose 0 = -2*f + f. Solve -k = -5*p - j - f*j, -5*j = z*p - 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 2274*y**2 - 2379*y**2 + 0.\nAnswer: -105*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3241 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8685976 or -8685975?\nAnswer: -8685975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - f + 8 = 0, -4*f = 3*d - 7*d - 12. Solve h + 2 = -d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18829443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of h**4\/24 - h**3\/6 + 4*h**2. Let p be z(8). Solve 2*x - 9 = -3*y, -16 = -y + 2*x - p*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -0.39, 2\/5, 21\/8, -1?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -41*g**2 - 8*g + 24. What is r(5)?\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 346*c - 346*c + 2 - c**2 + (4 - 4 + 1)*(-2*c**2 + 2*c - 2*c).\nAnswer: -3*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5341\/436 + (-24)\/2)\/(2\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, h: 1, f: 4}. Give prob of sequence gffh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 96 - 96. Suppose 5*k - z + 198 = z, 2*k - z + 79 = x. Calculate the remainder when k\/50 + (-508)\/(-10) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 467 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2*(46\/(-115) - ((-553)\/70 - 2))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**2 - 3518 - 3195 + 2*w**2 + 1405 + 271 to the form z + p*w + f*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 7*p**4 + p**3\/3 - 113*p**2\/2 - 159*p. What is the first derivative of f(d) wrt d?\nAnswer: 168*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + ((-50)\/12 - 9\/(-54)). Let c be 36\/(-45) + (-29)\/g. Let o = 6 - 4. Solve 3*a + 2*u + o*u + 6 = 0, -2 = c*a + 4*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 52665424\/1145 - 45996. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -22 * 0.3.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 278142247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/3 + 0\/(-2). Let b = 20 - 20.19. Let d = -3.81 + b. Put y, d, 0 in ascending order.\nAnswer: d, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + l = 24284, -50*u + 46*u = -2*l - 97118. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -5)*28\/(-98) + 20\/21?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqbxxqbby. Give prob of sequence ybx.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 0*h**2 - 4 - h**2 - 3*h + 3*h + 3*h. Suppose -30*o - 42 = -37*o. What is g(o)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 5*d - 19 = 6, 3*d + 13 = 4*f. Suppose 4*j - i - 6 = 5, -36 = -4*j - f*i. Let n = -13 + 23. Solve 0 = 2*g - j*g - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, -44\/5, -2\/15, 2\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 18 = -6*y. Suppose 0 = 2*o + y + 15. Is ((-177)\/6)\/(5\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2213004 - -1221014?\nAnswer: 3434023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - ((4 - 7 - 0) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/42 and 187\/360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2122200578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + -5 + 4)**2 + -1.\nAnswer: -4*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3357, -3368, -3377, -3384, -3389?\nAnswer: -3392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6092223 and 15201.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/1)\/(13\/(-1014)). Let s be h\/(-84) - 1\/(-2). Sort -6\/11, 0.5, s.\nAnswer: -6\/11, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 5*u - 20 = 0, -5*u + 2*u - 12 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-37)*f**(-25) assuming f is positive.\nAnswer: f**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 - k**2 - k**2)*(37*k**3 - 5 + 93*k + 3 - 86*k).\nAnswer: 37*k**5 + 7*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19\/11 - 128\/55. Let q = 8 - 7. What is the nearest to q in 0.5, v, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 497.9083l?\nAnswer: 497908.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -407\/6 and -68 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) -0.2  (c) -15  (d) 0.1  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -36467*i**3 - 1422215*i**2 - 9043894*i - 496 = 0.\nAnswer: -31, -8, -2\/36467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 15*l**2 - 14*l + 28. Let s be y(-16). Let w be 20\/(-90) - s\/18. Suppose 24*k - 10*k - 70 = w. What is the remainder when 38 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143*p - 12017 = -30*p - 87*p + 63*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1084493.7 take away 1.2?\nAnswer: 1084492.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5\/(((-12)\/(-27))\/4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 110 = a, -840457*a + 840467*a = -2*m + 116 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, y: 1, g: 1, f: 2, l: 2}. What is prob of sequence yx?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3 - 2)*(18*z + 0 - 1 - 20*z)*(-1 + 4 + 4) + (-z + 0 + 0)*(1 + 0 + 0) to n*z + i and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 227.481 + 0.519. Let q = r - 228.5. Which is the third biggest value?  (a) 0.036  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from accccccccccccccaddcd?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2446890792 to the nearest integer?\nAnswer: 49466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 11*f**8\/336 - 2*f**5\/15 + 12*f**2. What is the third derivative of c(p) wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41259.1 rounded to the nearest one thousand?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 330.6 - 331.9. Which is the second smallest value?  (a) m  (b) 49  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 52*z**2 + 10*z - 16*z**2 + 0*z**4 - 37*z**2 + 0 - 2 + z**4 as c*z**3 + j*z**2 + w*z + y*z**4 + m and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*z, z - 6 = -2*u - 3*z. Suppose -12*g + u = -5*g. Calculate the remainder when 5 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 43*k. Let r(l) = -3*l**2 - 2*l - 2. Let g(m) = -7*m**2 - 5*m - 5. Let b(u) = 2*g(u) - 5*r(u). Give b(d(s)).\nAnswer: 1849*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 382*x**2 - 81*x**2 + 4 - 2.\nAnswer: 301*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -245, -4483\/9, -3, 5?\nAnswer: -4483\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 16*n**2 + 11*n + 16. Let j(u) = -3*u**2 - 2*u - 3. Suppose -5*r - p = -51, -r + 2*r + 2*p = 3. Determine r*j(b) + 2*x(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-3 - -4) + -2 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -212, -1553, -5188, -12263, -23924?\nAnswer: -41317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1107 = -j - 6*j + 1448. Calculate the remainder when j is divided by 352.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m + 1. Let g(r) = -2*r - 4. Suppose -d - 5 = -u - 3*d, -d = 2*u + 2. Let x = u - -2. Let y(z) = x*g(z) - 4*w(z). Let c(a) = a**2. Calculate y(c(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -5, -1, 8.79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 (base 3) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(7)*1*3)**2 + -1 - (sqrt(7623) - (sqrt(7623) - (1*sqrt(7623) - sqrt(7623))))\/(sqrt(9) - (sqrt(9) - 3*sqrt(144))).\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 218, 207, 188, 161, 126?\n\"Answer: -4*t**2 + t + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 299 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + n. Let o(j) = j - 6*j**2 + 0*j + 2*j - j**2. Let b(k) = 15*a(k) - 3*o(k). Find the second derivative of b(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -1. Let c be (-1 - 0)*2\/(-8). Factor 0*m**2 + 1\/4*m**4 + 0*m + n + c*m**3.\nAnswer: m**3*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -807 + 1610 + 2*r**3 - r - 2*r**2 - 806 to the form u*r**3 + b + k*r + x*r**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 7 + 61*k + 24*k - 4*k - 16*k.\nAnswer: 65*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -5, 3, -61, 28, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(66)\/sqrt(6))**2 + -5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s - 9 = -2*a + 14*s, -35 = -5*a - 5*s. Suppose 3*k = 4*m - a, 12 = 3*k + 3*m - m. Sort k, -4, -27, -3 in increasing order.\nAnswer: -27, -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-163)\/(-520) + 24\/(-64) + 90\/(-225)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -687 + 777. Let w(q) = -7*q + 33. What is the lowest common multiple of t and w(0)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 180 and 340?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 22396 (base 13) to base 3\nAnswer: 10011020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.006276771 rounded to four dps?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u - 1. Let d(p) = 4*p - 12. Let w(n) = 2*d(n) + 12*t(n). What is the first derivative of w(i) wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17950 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w - 59 = 4*w + 5*s, -19*w + 12*w = 4*s + 70 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 33*b**2 - 210*b - 80. Is m(-34) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9\/31, -2\/15, 1.63, -9 in decreasing order.\nAnswer: 1.63, -2\/15, -9\/31, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 89987859*a - 1. Let l(h) = -4*h. What is t(l(w))?\nAnswer: -359951436*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -y - 164050, -98430 = -13*z + 10*z + y. What are the prime factors of z?\nAnswer: 2, 5, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-7)\/(-35))\/((-2)\/(-4)). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-40)*10\/(-8)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 887845435\/9979411122*(-622)\/(-10). Let z = k + 33490\/427457. Let l = -4\/3891 + z. Find the common denominator of -3\/4 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 6 = -4*a, 4*p - 60*a = -64*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**7\/420 + 7*k**6\/80 - 91*k**5\/30 - 8*k**4 + 185*k**2 + 11*k. Solve g(r) = 0.\nAnswer: -32, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*m**4 + 391*m**3*t**3 + 7*m*t**3 - 5*m*t**2 - 3*m*t wrt m.\nAnswer: -24*m**2 + 2346*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (191\/((-360035)\/3900))\/(2\/(-29)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 273364 is divided by 136680.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**0)**2\/(j**(-2\/3))**(9\/5))\/(((j*j\/j**(3\/4)*j)\/(j**(-4\/5)*j))\/((j*j\/(j\/(j\/j**(2\/7))))\/(j**0*j))) assuming j is positive.\nAnswer: j**(-19\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**2 - p + 2. Let b(a) = -a**2 - 5*a + 45. Calculate -b(v) + 5*m(v).\nAnswer: -4*v**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2070 - 732 = 6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 187 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(2\/11)))**(1\/22))**(-27)*(r**(-2)\/(r*r\/(r*((r*r\/r**(-5\/6))\/r)\/r)))\/((r**5\/r*r)\/r**(-2\/3)) assuming r is positive.\nAnswer: r**(-5849\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22.64 + 22.82. Which is the fourth biggest value?  (a) 0.3  (b) 0.04  (c) 2\/9  (d) 6  (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**5\/3 + 5965*l**4\/3 - 15929*l**3 - 17893*l**2\/3 + 155282*l\/3 - 31856 = 0 for l.\nAnswer: -5973, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -59*j**4 - 686 wrt j.\nAnswer: -236*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -0.3  (c) -0.4  (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**5\/60 - m**4\/8 + m**3\/2 + 19*m**2 - 1. What is s(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4172*t = -4168*t - 12, -5*r + 5*t = 45 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 0.4  (c) -1.000245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145272?\nAnswer: 2, 3, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -51678 and -0.2?\nAnswer: 10335.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4923 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/3764 and -101\/644.\nAnswer: 606004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74 - 124 - 8*t + 267 - 78.\nAnswer: -8*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/((-38)\/2)*-1*7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - 1100340?\nAnswer: -1100311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z + 23. Let b be j(-6). Let k = 27 - b. Let g be 4\/(-14) - k\/112. What is the closest to g in -0.4, 0.3, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**2*s*s**(-1\/4))\/(s**(2\/3))**44)**(-1\/16))**17 assuming s is positive.\nAnswer: s**(5423\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -11. Find i, given that -45 - 2*i + 5*i**d + 45 - 3*i**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -795*a**2 - 321912996*a\/7 - 347076\/7 = 0.\nAnswer: -57846, -2\/1855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3106 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 2)*(-4 - 5*z + 4)*(3 + 1 - 6).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, c: 2, b: 1, j: 1}. Give prob of picking 1 j, 1 b, and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1070 - 3c?\nAnswer: -10ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 2*t**3 - 9738*t + t**2 + 9881*t)*(2*t - 2*t - 2*t**2).\nAnswer: -4*t**5 - 286*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19.89 + -17.79. Put -1\/2, 2\/23, q in ascending order.\nAnswer: -1\/2, 2\/23, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -20958*s + 41. What is the tens digit of j(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 4:25 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 53343\/(-180)*-4 - 6\/(-10). Let k = s + -611. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 52*z**2 - 4*z - 23. Let g(n) = 51*n**2 - 3*n - 28. Give 5*g(k) - 6*q(k).\nAnswer: -57*k**2 + 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ydyyyydyyyy. Give prob of picking 1 y and 2 d.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917370001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1493 and -33.97.\nAnswer: -50717.21","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Is 18002561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 14*x**2 - 1008*x - 4177. Let b(l) = 13*l**2 - 1015*l - 4181. Let d(j) = 10*b(j) - 9*i(j). What is the first derivative of d(z) wrt z?\nAnswer: 8*z - 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 662d + -96b8?\nAnswer: -3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 2*b + 25*y = -3*b + 913, 18*y - 379 = 3*b + 8*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.025*0.3.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 341 and 3503.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s + s**2 - 7 + 5*s - 11 - 10 to the form c*s**2 + y*s + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/83 and 101\/22?\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -139 (base 14) to base 6\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of s**6\/160 + s**5\/40 + s**4\/32 + s**2\/2 - 3. Let l(g) be the second derivative of q(g). Factor l(v).\nAnswer: 3*v*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*a*k**4*w - 3*a*k**2 - 3*a*k*w - a*w - 3*k wrt k.\nAnswer: 84*a*k**2*w - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.1  (b) 0.051  (c) 25  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 - -2.5. Let t = -3 + h. Let c = t - -0.4. What is the third smallest value in c, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1\/2571696 - -146383508063\/120869712. Let r = n + -1211. Let z = 1355\/94 + r. Calculate the common denominator of z and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -110?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (317 - 3*q - 13*q - 60 + 12*q)*(2*q**4 + 0*q**4 - 3*q**4).\nAnswer: 4*q**5 - 257*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -4*i + 3*w, 0 = -3*i - 0*i - 4*w + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -600084 by 16669.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77 - 48. Suppose -4*r + 5 = a. Let t(l) = -14*l**2 + 18*l - 5. Let u(w) = -5*w**2 + 6*w - 2. Let m(q) = 6*t(q) - 17*u(q). Calculate m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -172818847 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 15*w + 9. What is b(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -187488202 rounded to the nearest 100000?\nAnswer: -187500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 9, x: 10}. What is prob of sequence xxxa?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-24)\/(-3) - (-56)\/12)\/((-6)\/(-9)). Let g(h) be the first derivative of 4*h + 3\/2*h**2 + a. What is the derivative of g(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55928, -55929, -55930?\nAnswer: -55931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, f: 6}. Give prob of sequence bbf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 11*n + 5*r - 26, -3*n - 21 = -4*r. Let v(f) = 85*f**3 + f**2 - 3*f + 3. Determine v(n).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 84\/4225?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 833 and 3213.\nAnswer: 22491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from empwu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -517*h = 1019 + 4151 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*a - 3440 = -y, 0 = 4*y - 4*a - 13748. Suppose -7*w + 12*w - h - y = 0, 5*w + h - 3436 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 29753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 10:34 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9353 and 1517773?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**5\/20 - b**2 + 4*b. Let h(g) be the first derivative of f(g). Let i(m) = 4*m. Calculate h(i(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 30*v + 8688. Let g(t) = t**2 + 146*t. Give s(g(q)).\nAnswer: 30*q**2 + 4380*q + 8688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 541 - -508. Is 45 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -680*o**3 + 5*o**2 - 11*o + 1. Let t be m(2). Let r = -402 - t. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*f**2 - 11*f**2 + 22*f**2 + 0*f + 2*f**3 + f - f**4 in the form q*f**2 + l*f**3 + k + c*f + v*f**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1302142311 (base 5) in base 2?\nAnswer: -1100000100000001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.06 at most as big as 38.96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*m + 84*m - 10*s - 321 = 151*m, 5*m + 3*s + 0*s = -114 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -78403\/97985 - -3\/19597. Let p be 4\/(-6)*6\/(-10). Which is the third biggest value?  (a) p  (b) j  (c) -4\/9  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cmqqumfk. What is prob of sequence mkmf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -98 divided by -6.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 4*d**5\/3 - 368*d**4\/3 + 1072*d**3\/3 - 344*d**2\/3 - 1076*d\/3 + 712\/3 = 0?\nAnswer: -1, 1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 + 33*p - 1448. Let r be v(-58). Suppose 1 = -4*g + 21. Solve -r*q + 6 = -g*n + 3*n, -3*q + 13 = n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-1)*66\/(-792).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4*d - 9. Let p be y(-3). Suppose -2*h + z + 9 = 0, 4*z = h + p - 4. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 2*r**2 - 5*r - 3. Let m be k(-3). Suppose m*b - 5 = 4. Suppose -t = b*n - 4*t - 12, t = -3*n + 4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1595206 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**4\/6 + p**3\/3 + p**2\/2 - 657*p. Calculate k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1104)\/(-1288))\/(((-81)\/14)\/(-3))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(77)*-5 - sqrt(77))\/(3*sqrt(448)).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.53668816 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -5*u - 40061, u - 77134 = -4*j - 23773. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2100, 8212, 18392, 32634, 50932, 73280, 99672, 130102?\nAnswer: 164564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-400)\/(-30) - 15\/(-9). Suppose z*v - 16*v = -198. What is the greatest common divisor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9648 + -9645. Which is the third biggest value?  (a) 0.3  (b) f  (c) -2  (d) 2\/9  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3, 5, -7, -39, -97, -187, -315, -487?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19667455 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -3*q**2 + 13*q + 10. Let d(r) = -2*r**2 + 13*r + 10. Let n be -7 - (-3)\/(-1 + 2). Let l(f) = n*d(f) + 3*p(f). Is 10 a factor of l(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-30))\/(36 + 4108\/(-114))\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -173664437799.1 and -1.2.\nAnswer: -173664437800.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -923*f**4 + 1800*f**3 + 206844*f**2 + 1073600*f + 52992 = 0.\nAnswer: -8, -46\/923, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -56*t + 2772. Give z(51).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = -3*x + 48, -5*x + 462*b - 458*b = -67 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 78 and (-3)\/(((-24)\/9 - -2)\/2).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29269040 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-238)\/616 + (-20)\/55)*(-4)\/(-21). Put -74, -2, n, 0 in descending order.\nAnswer: 0, n, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 69 and 21597.\nAnswer: 21597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21024 - 148325\/7. Let a = -165 - x. What is the nearest to -1 in a, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate m*n*o + 687714*m*n + 42*m*u**2 - n*o + 268*n*u - 3*n + 2*o*u + 159*o - u**2 with respect to m.\nAnswer: n*o + 687714*n + 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 k when three letters picked without replacement from kkqt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 150\/(-6*(-5)\/(-80)). Let c = 430 + v. Calculate the highest common divisor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153 and 35292?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3510.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2*g**2 - 370*g - 10826. Calculate a(-26).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/21554 and 95\/598?\nAnswer: 495742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*v - 9 = -1, -5*x - v - 5 = 0. Let h(m) = -2*m. Let p be h(x). What is the third derivative of -a**4 + 1 - 3*a**2 - 1 - 3*a**p wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -399*a - 684*a + 1468 + 1939 = 25067 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 232 + (-9)\/(-3) - 1. Suppose -f + 2*v = -5*f - j, -2*v = -3*f - 165. Let h = f - -128. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 4 + 6. Suppose -28 = 2*l - 3*l + n, 0 = -l - q*n + 19. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10711643 - -455?\nAnswer: -10711188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(4\/7)\/p**(-2\/21)*p\/p**(3\/2)*p*p*p**(9\/4))**(-20) assuming p is positive.\nAnswer: p**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6424367 divided by -18\nAnswer: -6424367\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/2 at least 383796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/27 - 76\/(-261). Let h = -9781\/26187 + -109\/301. Let z = k + h. Which is the nearest to z?  (a) -5  (b) -0.1  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.14  (b) -0.1839  (c) 0.01  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 41*l + 318 - 31 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**4\/90 + 34*c**3\/45 + 11*c**2\/5 + c + 123. Factor d(q).\nAnswer: 2*(q + 1)*(q + 33)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + 26869778.\nAnswer: 26869748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5 - 10 = g, 0 = 2*g + p. Let h be (g + (-1 - -2))\/3. Find the first derivative of -2 + 2*f + 0*f + h*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.9 - -2. Let y = 5.8 - 6. Let q = -4.96 + -0.04. Which is the third biggest value?  (a) y  (b) i  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**0)**(-12\/17)*(((h*h\/((h*h**(-2\/7)*h*h)\/h)*h)\/h)\/h)**(15\/8) assuming h is positive.\nAnswer: h**(-1947\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/2)\/((-1)\/((-4)\/(-4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 176*n - 88*n = 91*n - 22*h - 36, -n - 5*h + 12 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/5  (b) 2  (c) -0.4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = n + 4*p, -n - n = -5*p - 125. Let k(v) be the first derivative of 6*v**2 + 2*v - 3. What is the remainder when n is divided by k(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t = t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 5*p. Let r(w) = 28414*w. What is r(t(o))?\nAnswer: 142070*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 11*q + 36 - 25.\nAnswer: -11*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 34 = 2*v, 3*v - 4*y = -0*v + 51. Solve -x + 3 = 0, 4*z = -0*z - x - v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*y - 1044 + 52 = -227*y + 118*y for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 4425.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009255 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 317 divide 380083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 112530 by -4.\nAnswer: -56265\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 131575212745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w + 1. Let j(u) = 43 - 38 + 3*u + 5*u. What is -j(k) + 6*o(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 258*m**3 + 2*m**2 - 1. Let o be z(1). Let t = o - 131. Let n be 81\/(-36)*t\/(-6). What is the greatest common divisor of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*17.8\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(-4)*(-137)\/3. Let c = 129 + b. Put 1, c, -1 in ascending order.\nAnswer: c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 13) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28 in 1\/2, -3, 7, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 7*h**2. Let m(p) = -4*p**2. Let s(f) = 5*m(f) + 3*v(f). Let x(t) = 0*t**2 + 14 + t**2 - 12 - 19. Give x(s(w)).\nAnswer: w**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(-9)\/(-6) - -7. List the prime factors of 518\/2 - (2 - j).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddpllppdnpldp. Give prob of sequence ddl.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 5644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-5 + 7\/(84\/64)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 9662?\nAnswer: 3864.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-72)\/(-27) + -1 + (-29)\/(-15). What is l in -2\/5*l**2 + 12\/5*l - f = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4997168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 5. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 7*l**2 + l - 11. Determine u(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -14. Let s(k) = -k**3 + 6*k**2 + 5*k + 2. Let v be s(b). Let a be (v\/(-15))\/((-4)\/(-10)). Solve 0 = -p + 2*u - a + 3, -3*p - 2*u = 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 1)*(-497*f + 19*f - 49*f)*(f + 1 + 1 + 2).\nAnswer: 1054*f**2 + 4216*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1964 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -233*d**2 - 270*d + 274. Calculate g(1).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**4\/4 + 5*q**3\/3 - q**2\/2 - 5*q + 1. Let v be j(-4). Let b = 0 + v. Calculate the greatest common factor of 45 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -718.769 + 719. Let o = s - -0.169. What is the third smallest value in 1\/15, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 57 in 0, -4, 0.4, -7, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/27, 5, 15, -0.5, -0.3 in decreasing order.\nAnswer: 15, 5, 4\/27, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h - h = 11. Let v(q) = -q**3 + 9*q**2 - 7. Let p(i) = -i**3 + 14*i**2 - 11. Let d(l) = -5*p(l) + 8*v(l). What is d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 2*c**2 + c - 5. Give y(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -968*n - 5776*n + 416*n.\nAnswer: -6328*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 276863 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/990 and -113\/630.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8 and -1.0485.\nAnswer: 6.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*b + 3 = -12, 3*u - 25 = -2*b. Sort u, 1, -14.\nAnswer: -14, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2 + 133*q - 464. What is the remainder when r(62) is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 11:58 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 - 5*x**2 - 6*x + 2. Let o be w(6). Let g(l) = -1 - l**o - 2 - 7*l - l**2 + l**2. What is the units digit of g(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) - (sqrt(76) + (sqrt(76) + -3)**2)) + sqrt(950)\/sqrt(2) + sqrt(190)\/(sqrt(70)\/(-1*sqrt(7))) + -3)*1.\nAnswer: -88 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -64*v + 125*v - 19 + 52 - 65*v. Calculate i(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 365035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 12*y**2 - y + 6. Let n = 6 + -18. Let z = 7 - 2. Calculate the remainder when g(n) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3113490881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7579*h**3*o**2 + 6*h**3*o + 205880*h**3 wrt o.\nAnswer: 15158*h**3*o + 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 561 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*c - 7*c - 2*c)*(c**2 + 2*c - 9 - 18 + 16 + (-2*c**2 + 5*c**2 - 4*c**2)*(-1 + 1 + 7)).\nAnswer: 120*c**3 - 40*c**2 + 220*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-7)*n**(3\/4))\/((n*n**(-2\/3)*n)\/(n\/(n\/n**(-2)*n)))*(n**(-1\/14)*n**(2\/5))\/(n**(1\/4)\/(((n\/(n*n**(1\/3)\/n)*n*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-928\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 196381 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 11:34 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 2*g**2. Let n(y) = -y**3 - 65*y**2 - 140*y + 68. Suppose 6*f - 32 - 4 = 0. Let k(c) = f*x(c) + n(c). Determine h so that k(h) = 0.\nAnswer: -2, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*o**2 - 134 + o + 2*o**3 + 56 + 82 to the form s*o**3 + f + l*o + a*o**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1823 is divided by 214?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -40 and 0.5.\nAnswer: -39.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/3)\/((-7)\/(-98)). Suppose -m + 173 - n = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-2\/13))\/((j\/(j*j**3))\/j*j)*(j**(2\/7))**(30\/13) assuming j is positive.\nAnswer: j**(438\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 36 + 24. Suppose -h - 6 = -o, -8*h = -s*h - 8. Solve -5*r + o*r - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.43 - -0.13. Let f(b) = 15*b**2 - 1. Let q be f(-1). Let d be (2\/q)\/((-2)\/6). What is the third smallest value in d, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**10\/x*x)\/x*x*x*x*x*x*(((x*x\/(x\/x**(-1\/3)))\/x)\/x)\/x*x)\/((x\/(x\/(x\/x**(-5\/3)*x))*x)\/(x\/x**9)) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52 divided by -251.\nAnswer: 52\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0*w)**(-12\/13)\/(w**(-1)*w*w)**(1\/18)*(((w**(-2\/3)*w)\/w)**(3\/23))**(-36) assuming w is positive.\nAnswer: w**(11581\/5382)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1865 is divided by 936?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*u + 3*u - 6*u)*(-3*u**2 + 3*u**2 + 6*u**4) + 4*u**5 - 10*u**5 - u - 3*u.\nAnswer: 138*u**5 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 15*q + 11*q = 6, -2*q = 3*j + 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q - 8. Let s be f(5). Let r(z) = -z**2 + 4*z. Let x be r(4). Find the second derivative of 2*t**s - t + 0*t + x*t**2 wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 136, 1 in increasing order.\nAnswer: -1, 1, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) -0.03  (b) 5  (c) 0.04  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -0.5, 7, 5, -0.2, 0.12, 0.0271, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 442290738160*j**2 - 2*j**3 - 442290738160*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k - 3*w - 38 = -26*k, 316 = 2*k - 32*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 4*o - 51, 2*o - 42 = -4*u - 0*u. Suppose 2*g - o = -g. Solve 4*m = 11 + g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -16.84. Let g = c - -2.3. Round g to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/sqrt(20))\/(sqrt(3) + sqrt(147)*1) + ((sqrt(90) + sqrt(10) + sqrt(10))*2)\/(-4*sqrt(5)*-1)*5.\nAnswer: 201*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2468491 - 102.\nAnswer: -2468593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3 - 22\/(-4)*10 is divided by 1 - 1 - (-90 - -5)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2224*m - 8888. Determine a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54, 70, 120, 222, 394?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-118 + 243 - 64)*(0 + 0 - 2*g + (3*g - 3*g + 2*g)*(-3 - 2 + 3) - 3*g - 3*g + 2*g + 2*g + 4 - 4).\nAnswer: -488*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000001597803 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -825 - -806. Let w(p) = p**2 - 7*p + 7. Let r be w(5). Sort r, z, 3 in descending order.\nAnswer: 3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 52.5 - 53. Let z = -6457\/4 - -1614. Which is the closest to 0.1?  (a) -2\/15  (b) -2  (c) z  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/15, 60, -1, -2.7?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 5, -0.3, 4\/7, 1135 in ascending order.\nAnswer: -17, -0.3, 4\/7, 5, 1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011110100101 - 10100?\nAnswer: -10011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 14355, 12 in decreasing order.\nAnswer: 14355, 12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 22*m**2 + 14*m**2 - 35*m**2. Let z(a) = -51*a. Give j(z(i)).\nAnswer: 2601*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.5385 + -0.5385. What is the fourth biggest value in -10, 4, k, 2\/17, 2\/61?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, 2, -4, -87.1, 1, -5, -4\/5 in increasing order.\nAnswer: -87.1, -5, -4, -4\/5, 0.7, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + -1)\/(-3 + 5). Suppose h = -2*i + t - 4*t + 48, -2*i + 68 = -2*t. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22652*v + 4 = 22654*v - 2*s, 3*v + 30 = -3*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 477 = 492 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1429 a factor of 3521056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*o + 15*o + 18*o to the form b + g*o and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - c**2 - c. Let l be g(0). Suppose 4*v - 5*a = 0, l*v - 12 = -4*v + 2*a. Calculate the greatest common factor of v and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 3 = -4*m - 9, t - 5*m - 3 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + -3. Let i = -6.5 - v. Let r = i - 4.5. What is the smallest value in -1, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of -2 - 2\/3*f**3 + 0*f + 0*f**2. Let t(r) = 2*r**2 - 5*r**2 - r**2. What is p(t(g))?\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 8*y**2 - y + 1. Let l(f) = -f**2 + f - 1. Let i(d) = -2*l(d) - 2*m(d). Let x(t) = 2*t**2 + 149*t - 149*t. Determine x(i(n)).\nAnswer: 392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (10070\/210 + -48)\/(1\/4)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9041 + 9042.4. What is the closest to -7 in t, 4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.05, 2\/9, -1\/3.\nAnswer: -5, -1\/3, 0.05, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 68*f**4 - 152258*f**3 - 2592462*f**2 - 4372308*f + 406080 = 0.\nAnswer: -15, -2, 3\/34, 2256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*z - 47*z - 18*z.\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -16. Let a(y) = -d*y + y + y. Let q(i) = 11*i**2. Give q(a(g)).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 172*f = 181*f - 81. Calculate the least common multiple of f and 37.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-558)\/(-78) - 7) + 58\/130?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -85 + 95. Solve r*a + 4 = x, -2*a + 12 = 2*x + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 3*f - 14674 = 0, 8*f = 5*g + 5*f - 36721. What are the prime factors of g?\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*y - 2*y - 7*y - 5*y + 6*y + 3*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b + 4. Let k be i(-2). Let a(p) = 7*p + 1. Let t be a(1). Let u = t + -3. Solve -5*h - u*r = 30, -k*h + 4*h = -5*r + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {x: 12, q: 2, e: 1, d: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92735 is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 6*k - 387 - 218*k**3 - 52*k**3 - 396 + 27*k. Let v(x) = 17*x**3 - 2*x + 49. Let w(m) = 2*c(m) + 33*v(m). Find the first derivative of w(n) wrt n.\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 2301?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 320*d**4 + 1362*d**3 - 1277*d**2 - 376*d - 27. Let h(a) = a**3 - a**2 + 2*a - 1. Let x(s) = -c(s) + 2*h(s). Let x(i) = 0. What is i?\nAnswer: -5, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 251*d**2 + 158*d**2 + 135*d**2 + 361*d**2 + 526*d**2 to the form t + l*d + p*d**2 and give p.\nAnswer: 1431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8009 + 0.8309. Which is the fifth biggest value?  (a) 1.3  (b) -0.2  (c) -0.3  (d) 1  (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 4*h = -20. Is h > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41174 is divided by 184.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-18) - -4) + (-6*(-306)\/(-108) - -18)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21536?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -800*k**4 - 139*k**2 + 2 wrt k.\nAnswer: -19200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 327 - 328.4. Put 0.2, p, -2 in descending order.\nAnswer: 0.2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**4 - 3*a**4 + 7*a**4 + (-4*a**4 - a**4 + 4*a**4)*(-2 + 1 - 1) + 2*a + a + a**4 - 2*a**2 + 3*a**2.\nAnswer: 5*a**4 + a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmpdjtj. Give prob of sequence dl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -6*(-14)\/14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + sqrt(7))**2 + 5 - (sqrt(49)\/(sqrt(14)\/sqrt(2)) + sqrt(7))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4691*-35947.\nAnswer: -16862.7377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -5*z + 176, 9*t - 61 + 327 = 4*z + 145 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**2\/13 + 7412*r - 51827440\/13 = 0.\nAnswer: -48710, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135564 and 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 4:45 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of a**2\/2 + 8*a - 3. What is the smallest common multiple of 10 and u(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**4\/6 - v**3\/6 - 19*v**2. Let k(y) = -y. Suppose 0*u + 4*u + 44 = 0. Give u*k(g) + 2*x(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1018, -1002, -976, -940?\n\"Answer: 5*m**2 + m - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, l: 1, g: 7, x: 1, q: 4}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 - 515*i**2 + 32*i + 16464. Determine s(-515).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4 + 28*s**3 + 24*s**2 - 28*s - 26.\nAnswer: 2*(s - 1)*(s + 1)**2*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 q, and 1 l when three letters picked without replacement from {l: 2, g: 1, n: 5, q: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (44*s + 4*s**2 + 10 - 9 - 47*s)*(1 - 4 - 1 + 2*s).\nAnswer: 8*s**3 - 22*s**2 + 14*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-25)*(17 + 48976\/(-2880)). Do 1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317186 is divided by 63147?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 692.3978mg?\nAnswer: 0.0006923978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**3 + 3*r + 1. Let j(h) = -3*h**3 - 8*h**2 - 18*h - 8. What is j(z) + 6*n(z)?\nAnswer: 9*z**3 - 8*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -15 + (-2808)\/(-189) - (-29)\/7. Let q(r) be the third derivative of 2\/3*r**3 + 0 - 23\/24*r**w + 0*r + 8*r**2. Differentiate q(o) wrt o.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*h = -25*h + 34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 13) in base 5?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264037007?\nAnswer: 13, 41, 97, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = w, 6*m - 5*w = 8*m + 16. Let c(a) = -a - 5*a + 7*a - m*a - 2. Calculate c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 23*s + 1 - 1. Let b(j) = 3270*j + 303. Let g(t) = 259*t + 24. Let n(q) = 8*b(q) - 101*g(q). Determine n(o(v)).\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -9. Let l be -3*-3*1\/3. Let t be -1*((-57)\/63 + 1\/l). Which is the fourth smallest value?  (a) y  (b) -2\/7  (c) -0.1  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 27*o**2 - 9*o. Let b(p) = 13*p**2 - 4*p. Let s(x) = -9*b(x) + 4*n(x). Let t(v) = -v. Determine s(t(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/12)\/(14*(7 - 3)\/24)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 + -8. Let g = d + -11. What is the third biggest value in 4\/7, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 174.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -264*q**2 + 5320*q. Let s(z) = 2*z. Determine j(s(c)).\nAnswer: -1056*c**2 + 10640*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -326 + 979\/3. What is the nearest to -1 in w, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 2*v**3\/7 + 32*v**2\/7 - 2*v\/7 - 32\/7 = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43526, 53539, 63552, 73565?\nAnswer: 83578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2989*c + 2975*c - 294 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 991 a factor of 4468419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8409, -33206, -74553, -132462, -206945, -298014, -405681, -529958?\nAnswer: -670857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53741 and 13215?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/9)\/(z**(-2\/9)*z))\/((z*(z*((z*z*z**(-1)\/z)\/z)\/z)\/z)\/z**9) assuming z is positive.\nAnswer: z**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 242 + -193. Suppose 54*j = m*j + 95. What is the remainder when 130 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*w + 10, -2*f - 5*w + 34 = 0. Calculate the least common multiple of 6 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 533*s**3 - 3736*s**2 + 25*s + 20. Determine r(7).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -7*u**3 + 19*u**2 + 15*u + 5. Let o(d) = 11*d**3 - 29*d**2 - 23*d - 8. Let m(t) = -5*o(t) - 8*s(t). Let g be m(8). Which is smaller: 164\/7 or g?\nAnswer: 164\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(704)*2) + 5.\nAnswer: sqrt(5)\/16 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 30662514 (base 7) to base 16\nAnswer: 2778c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 10903109, 21806161, 32709215, 43612271, 54515329?\n\"Answer: i**2 + 10903049*i + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72431 is divided by 4210?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 752 and 188?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/12 + -17*(-7)\/(-210). What is the second biggest value in 5, 2\/17, y, -0.7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -16*l - 33 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 984 and 57712912?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -1283.\nAnswer: -1\/1283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r - 7*r + 295. What is the second derivative of g**2 + g + 59 - r wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.5689 - -0.4589. Which is the closest to 2\/9?  (a) y  (b) 8  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 16*l + 3. What is k(-14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27079.\nAnswer: 13, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(112) + sqrt(28)\/sqrt(4)*2)**2 + ((sqrt(112))**2*-3 - sqrt(21)\/(sqrt(6)\/sqrt(2))).\nAnswer: -80 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 4, t: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -183 - -1283\/7. Let o = -5.13 + 0.13. Which is the third smallest value?  (a) o  (b) -2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 112 - 186. Let k = 43 + i. Let y = -30.9999 - k. What is y rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - 6*w**2 - 36*w + 14. Is x(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/12988 and 107\/114?\nAnswer: 740316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 39*o**3 + 8734*o**2 + 488768*o - 25088 = 0. What is o?\nAnswer: -112, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/9 and 40\/1887.\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2233, -5960, -9687, -13414, -17141, -20868?\n\"Answer: -3727*j + 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 500981921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -187.9321183 rounded to two decimal places?\nAnswer: -187.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -57 + 84 + -30 + (-1 + -19 - -2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - 60 - (-29 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -21*d**2. Let p(l) = l**3 + 10*l**2 + 23*l + 58. Let q be p(-8). Let x(c) = 0*c**2 + 3*c**2 + 6*c**2 - 4*c**2 - 3*c**q. What is x(v(f))?\nAnswer: 882*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 4:03 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9.2 - 10. Let c = m + 0.4. Let v = 142 - 991\/7. Put c, 0.2, v in descending order.\nAnswer: v, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 2*l - 3. Suppose -2 = -3*d - y, -4*d + y = 3*y - 4. Suppose -1 = -3*t + k + 3, d = 2*t - 4*k + 4. Determine m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 - 5)*(-11*l**3 + 3*l - l**3 + 5*l**3).\nAnswer: 49*l**3 - 21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, -38, 2951\/3, -0.06?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1699716*r - 4640*r**3 + 1699716*r)*(-3 - 3 + 3).\nAnswer: 13920*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18821669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -6\/631 and 46.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11 or -418?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 15*y**2 + 13*y - 9. Let u(f) = 7*f**2 + 7*f - 4. Let o = -38 + 25. Let r(z) = o*u(z) + 6*p(z). Is 10 a factor of r(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 153202116 to the nearest integer?\nAnswer: 12377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 362, 760, 1238, 1820, 2530, 3392, 4430, 5668?\n\"Answer: 4*o**3 + 16*o**2 + 322*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.04  (b) -3  (c) -7591  (d) 4  (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-8882948.\nAnswer: -1776589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -9*t + 2, -5*p - 4*t - 27 + 15 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 - ((58 - 55) + 4 + -18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 12) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2015342 (base 8) in base 3?\nAnswer: -222222121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 299*y**3 + 7*y**2 - 10*y - 2. Calculate the remainder when m(2) is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69304969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2*(-2)\/1)\/(-2 - -1). Suppose -3*u - 53 = 4*c - 168, 0 = d*u - 3*c - 195. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5)*c\/(c**5\/c)*(c*((c\/(c*c\/(c**(1\/4)\/c)))\/c)\/c)**(-9) assuming c is positive.\nAnswer: c**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81 and 47331?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 6*n**2 - 12*n - 11. Let j be a(-7). Let x = j + 827. List the prime factors of x.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 4*c - 28. Let u be t(8). Suppose u*b - 11 = -3*o, 5*o - 11 = b - 31. Suppose -b*m - 307 = -6*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 10, 11.5, -1.5 in increasing order.\nAnswer: -4, -1.5, 10, 11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*t**2 - t**2 - 12*t**2 in the form h*t + c + y*t**2 and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of 33\/4*y**4 - 20 + 0*y + 0*y**2 - 2*y**3. What is the third derivative of b(c) wrt c?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 59 - 37 = 0. Let t be (-8)\/6*(b\/44)\/2. What is the biggest value in 5, t, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 157 = 2*u - 17, -3*u = -2*x - 263. Suppose -2*c + 7*c - u = 0. Solve f + c = -4*w, 6 = 5*f + 4*w + 43 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.5 + -2. Suppose 0 = 4*t + 58 - 150. Suppose 8*x - t - 1 = 0. Which is the closest to x?  (a) n  (b) 1\/2  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.9 - 1.7. Let x = w + -1.9. Let d be ((-8)\/10)\/((-264)\/40 + 3). What is the second smallest value in 2, x, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -130 times 3?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**5*i**(-2)\/i*(i*i*i\/(i**(2\/3)*i)*i*i)**(21\/4))**(2\/11))**(-32) assuming i is positive.\nAnswer: i**(-1248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -865*a**2*b + 8675*a*b**2 - 32274*b**2 - 1174*b - 2 wrt a?\nAnswer: -1730*a*b + 8675*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 602070000 = 3*g - 0*j, -98*j = -93*j. Round g to the nearest 1000000.\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b**4 - 56*b - 184 wrt b.\nAnswer: 8*b**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -645452, 0 in descending order.\nAnswer: 1\/3, 0, -645452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from {f: 1, o: 1, z: 1, s: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170660950 is divided by 1674?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g, 1 v, and 1 p when four letters picked without replacement from ppvvvvvgvvgvpvvppvvv?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-10)*(-138675)\/(-3870)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 4*u + 44. Suppose -5*z + 25 = -5*q, 56 = -2*q - 5*z + 18. Calculate the remainder when y(q) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3428 + 3434. Which is the third biggest value?  (a) 4  (b) 0  (c) 0.3  (d) i  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 49, 3, -2, 5, -3 in decreasing order.\nAnswer: 49, 5, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46862 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22\/67 - -1\/201. Which is greater: 1.73 or u?\nAnswer: 1.73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.051 >= 47\/6941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -12*t - 40. Let m be (-39)\/(-26)*t\/21. Let f(p) = -6*p**3 - p**2. Let j be f(-1). What is the closest to -5 in j, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.86 - -2. Let l = -0.06 - n. Is l smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.0008 + -99.6708. What is z rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*k, 3*m - 25*k + 30*k + 26 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3 - 10 = -3*x, 9 = -2*z - x. Let r be 6 + 1*(z + 3). Solve -r*n = -n - k - 14, -n = -4*k + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/5 + 20*r + 1221\/5.\nAnswer: -(r - 111)*(r + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -217, -1753, -5905, -13981, -27289?\n\"Answer: -218*q**3 - 10*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 - 17*h - 8. Let r be o(-8). Suppose r = b, 3*v + v = -4*b + 8. Find the third derivative of -2*n**2 - 8*n**v - 3*n**4 + 2*n**4 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3 + 1866*g**2 + 91797*g + 258516.\nAnswer: -3*(g - 668)*(g + 3)*(g + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*s - 143302 = -445840, 0 = 2*r - s + 151270. Let v = 120226 + r. What is v rounded to the nearest 1000?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*m + 1872 = -2*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 238 = -3*p. Suppose 11902 = -8*o - 882. Let f be (-6)\/14 + o\/p. What is the greatest common factor of 26 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9094956 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6414 - -230957\/36. Calculate the common denominator of -19\/132 and u.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 128.4 - 113. Let d = 26 - 41. Let f = m + d. What is the nearest to -0.1 in -0.5, f, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -250, -877, -2310, -4951, -9202?\n\"Answer: -67*r**3 - r**2 - 155*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64*d + 72*d - 181*d - 385*d - 268*d.\nAnswer: -698*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 809.1313 seconds?\nAnswer: 809131300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 45, 280, 911, 2136, 4153, 7160, 11355?\n\"Answer: 33*a**3 + 4*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001373041309 rounded to 7 decimal places?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3035 + 24315\/8. Is i greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -30, 1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -4*a - 1013 + a + 1019 + 5*a**2. Let p(n) = n**2 - n + 2. Let y(h) = -d(h) + 4*p(h). Let q(s) = 3*s**2 + s - 1. Let k be q(1). Calculate y(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1176)\/16226 + (12\/114 - 0). Sort q, 2\/7, -1\/6, -4, -0.1 in descending order.\nAnswer: 2\/7, q, -0.1, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/2 - 18\/(-4). Suppose 3*k + 15 = 8*k. Let z = -4042 - -4044. Solve -c = -z*q - k*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 + 26*r + 172. What is g(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -8*o. Let m = 5 - -2. Let d(z) = m - 7 + z**2. What is d(f(c))?\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18.96?  (a) -0.2  (b) -2\/9  (c) 3\/2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -168984, -337904, -506824?\nAnswer: -675744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -39*c - 12. Let l(k) = -34*k - 11. Let a(s) = -7*l(s) + 6*v(s). What is a(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 + 83. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 278*i - 9672 = -1888 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -u**2\/4 + 119*u\/4 - 117\/2 = 0.\nAnswer: 2, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19 by 39.\nAnswer: 19\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 4:26 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3*m = -9, 10*i = 7*i + 4*m + 17. Suppose 0 = -i*y - y + 2708. What is y rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.898283 rounded to three dps?\nAnswer: 5.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 13*w + 11*w)*(-2*w**2 - 2*w**2 + 0*w**2).\nAnswer: 8*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -29055, -28993, -28889, -28743, -28555?\n\"Answer: 21*w**2 - w - 29075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 6 = -2*f, -6*b + 5*b = -5*f - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of 0*u**5 + 8 + 0*u**4 - 1\/3*u**6 + 11\/2*u**2 + 0*u**3 + 0*u. Find the second derivative of l(m) wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 33 = 2*k - 5*s, 3*k = -2*s + 24. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.60784501 rounded to three dps?\nAnswer: -1.608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2147*n - 2078*n + 1068*n)*(-1 + 3 - 4)*(0 - 6 + 2) to g + f*n and give f.\nAnswer: -25256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 4*s - 1, 7 + 0 = -3*j + 4*s. Is j bigger than -1\/947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fourty-three quarters of a micrometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*w**2 + 24*w**2 + 22*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*p**2 - 182065*p + 26010.\nAnswer: -5*(p + 5202)*(7*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000166469 rounded to 7 decimal places?\nAnswer: -0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2749285442305 and -26.\nAnswer: 2749285442279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/21)*y)\/y*y*y**(-1\/2)\/y*((y\/(y**0*y*y)*y)\/y)**(-12\/5) assuming y is positive.\nAnswer: y**(379\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-1 - (-3 - 3)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 183*q - 4761. Calculate w(25).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 14*s - 4. Let d(z) = -7 - 14 + 39 - 28*z - 9. Give -4*d(m) - 9*f(m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*a**2\/15 + 223712*a\/5 + 18767647104\/5 = 0. What is a?\nAnswer: -167784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a**3 - a**3 + 4*a**3)*(4*a - 4*a + 2*a) + a**4 + 7*a**3 - 7*a**3 - 54 + 48 - 256*a**4 + 75*a**4.\nAnswer: -184*a**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*g + 0 + 0 - 546*g - 871*g.\nAnswer: -1278*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*q - 2*q**2 + 2*q**3 + 2*q**2 - 13*q + 33*q to the form w*q + h*q**3 + a + k*q**2 and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -49*h**3 + 77*h**2 + 45*h - 81 = 0?\nAnswer: -1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -1001001?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/123 and 137\/14982?\nAnswer: 614262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 46\/(-52)*(-36)\/828\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*l - 117*l + 114 = 0. Let y = l - 113. Sort 5, 6, y in increasing order.\nAnswer: y, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*sqrt(13) - sqrt(52)\/sqrt(4)*-3 - (-4*sqrt(832) + -5).\nAnswer: 5 + 41*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of v**8\/1176 - 2*v**7\/245 + 11*v**6\/420 - v**5\/105 - v**4\/7 + 8*v**3\/21 - 24*v**2. Factor s(w).\nAnswer: 2*(w - 2)**3*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 26 + -28. What is the third smallest value in n, 3, 0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -270 + 339. Does 15 divide 6\/c - (-307240)\/460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*f + 7*f - 10*f)*(2 + 3 - 2).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ijj when three letters picked without replacement from {j: 5, f: 1, z: 1, b: 4, i: 1, o: 1}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 39*o**2 + 56*o + 10. Let g(y) = -20*y - 39*y**2 - 14*y - 9 + 3*y - 23*y. Let b(r) = -7*g(r) - 6*i(r). Factor b(u).\nAnswer: 3*(u + 1)*(13*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.4 - -22339.\nAnswer: 22337.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 7, 0.08, 20 in descending order.\nAnswer: 20, 7, 3\/5, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4043 is divided by 170?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 7*v - 2. Let k be i(1). Find the third derivative of 238*m**5 - 273*m**k + 19*m**2 - 47*m**2 wrt m.\nAnswer: -2100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - -1) + 2 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 3*s - 3. Let p(b) = -b**2 + 5*b - 5. Let r(x) = 3*p(x) - 5*z(x). Let u(j) = 7*j**2. Determine u(r(g)).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -56*k. List the prime factors of h(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 2 - 0. Is (0 + g)\/(-4) + (-1434)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -3\/4, -0.15, 1, -1\/5 in ascending order.\nAnswer: -3\/4, -1\/5, -0.15, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-30))\/((-1)\/(-10))*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + 4*f**2 - 4*f**2)*(-2*f - 4 + 4) - 2*f**3 + 0*f + 0*f + f**3 - 3 + 3 + (-7*f**2 + 4*f**2 + f**2)*(-f + 0*f - f)*(-271 - 205 + 174).\nAnswer: -1213*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.6 in -1\/4, 5\/11, 1, -10, 3\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(7\/3))**31)**(2\/3) assuming f is positive.\nAnswer: f**(434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.4 + 0. Let y = -0.400008 + n. Round y to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q - 3*q + 9*q**3 - 2 - 4*q**3.\nAnswer: 5*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 = 4*v - 9. Let i = v + -24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 745, 742, 735, 724?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = b + 5*x - 0*x, b = -x + 51. Suppose -44 = r - b. What is the nearest to -1 in -3, r, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fktk when four letters picked without replacement from ttktkft.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-1*2) - -1. Suppose 15 = -5*y - 0*y, 5*d = -i*y - 6. Suppose -20*u + 20 = -a - 15*u, 2*u - 20 = -2*a. Solve d = 4*k - 3*k + a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 41 + -1235?\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 2\/(8\/12). Suppose -28 = -5*n + 2*v, -5*n + 0*v + k*v = -32. Suppose -3*s - 21 = -3*f, 0*f + 22 = n*f + 2*s. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1033 - 621 - 3307*k - 1225 with respect to k.\nAnswer: -3307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4568, -4540, -4496, -4436, -4360, -4268?\n\"Answer: 8*w**2 + 4*w - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 1\/6  (c) 0.0558  (d) -8  (e) 0  (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16812 = -4*v, -3*v - v - 8412 = -w. What is w rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32687806 and 20.\nAnswer: 326878060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of s**7\/2520 - s**5\/12 + 7*s**4\/12 + 3*s. Let t(b) be the third derivative of c(b). Determine t(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 59*i = -17*i - 666 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iqiddiqixddqxiqdid. Give prob of picking 3 i.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*t + 32 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9512.7 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k\/(k\/k**(-3\/2))*k**(1\/6))\/(((k\/k**(-14))\/k)\/(k\/k**(-9))) assuming k is positive.\nAnswer: k**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 2*t - t + 4*k, t = k + 77. Suppose 676 = 4*x + 92. Let c = x - t. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56380 rounded to the nearest 1000?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 543322162 - -1?\nAnswer: 543322163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v - 3. Let a be k(10). Suppose -w - 12 = -a*w. Calculate the least common multiple of 24 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 66, 134, 228, 348, 494, 666?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 178333035 divided by -5?\nAnswer: -35666607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.22 and -523671.\nAnswer: -523671.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -2541?\nAnswer: -2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102000211 + -102003?\nAnswer: -102102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -252*x = -220*x + 58 + 102 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 7 + 5*u - 5 - 2*u + 4*u. Let c(q) = -8*q - 2. Give -4*c(d) - 5*t(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 14*p**2 + p. Let g(i) be the third derivative of 3*i**4\/8 + i**2 - 37. Calculate g(f(w)).\nAnswer: 126*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -57542 at most -54600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -8) + -4 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37078623163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9334.833km?\nAnswer: 9334833000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4827 + -2613. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136176755662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4130221 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 470.000586 + -470. What is g rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43)\/(5031\/36) + 2*11916\/(-1976) + 12?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*c**2 + 510 - 2*c + 539 - 1071 + (0*c - c + 0*c)*(-4 + 0 + 1)*(0*c + 0*c + c).\nAnswer: -3*c**2 - 2*c - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**5\/7 - 16*q**4 - 3079*q**3\/7 - 4388*q**2 - 12404*q + 17248 = 0.\nAnswer: -77, -14, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 c when three letters picked without replacement from yyouoyocyyoeoey?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 35 = -6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 528.88.\nAnswer: 531.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (36*r**2 - 3*r**2 + 26*r**2)*(-2*r + 0*r + 5*r) + (4 - 1 - 4)*(2*r**3 + 3 - 3) as n*r**2 + c*r + t + h*r**3 and give h.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 749, -60, -1, 19 in descending order.\nAnswer: 749, 19, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -4*b - 195. Let k be q(-49). Let m(z) = -2*z + 4. Let i(c) = 0 + 1 + 0. Determine k*m(d) - 2*i(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2399255 to the nearest integer?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61770 divided by -1065.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 30, 70, 182, 402, 766, 1310?\n\"Answer: 6*y**3 - 2*y + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 31*m - 70 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c**2 - 4*c**2 + 9*c**2)*(2*c**2 + 0*c + 0*c + (-13*c + 8*c - 6*c)*(3*c + 0*c - 2*c)) in the form r*c**2 + s*c**4 + m + z*c + x*c**3 and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -12*v - 5. Let b(d) = 11*d + 6. Suppose 0 = 23*u + 115. Give u*b(h) - 6*x(h).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -r**2 + 70465*r - 52217284 = 0?\nAnswer: 749, 69716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-18\/7))\/(z\/(z*z\/z**15*z)))\/((z\/z**(-21))\/(z*z**(-10\/9))) assuming z is positive.\nAnswer: z**(-2311\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-36)\/(-21) - 2\/(-7). Suppose 4*n = 5*i - 13, -5*n - 4*i = j + 4. Let g(q) = q**3 - 19*q**2 + 36*q - 32. Let m be g(17). Sort 5, m, n.\nAnswer: n, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1603, 12745, 42981, 101857, 198919, 343713, 545785, 814681?\nAnswer: 1159947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 27*m**2 + m + 26. Let n be x(-27). What are the prime factors of (20\/15)\/n*(-2 + -142)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29 in -0.2, 3, -0.61?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -0.0329\nAnswer: -0.00658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57430 by 5.\nAnswer: -11486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -3, 0.09, -10 in ascending order.\nAnswer: -10, -3, -2, 0.09, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + 6)\/1 - (-20 + 20). What are the prime factors of (2 + 137)*-1*(4 - j)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 3*n**2 - 3*n + 2. Suppose -2*y = -3*y + 5. Suppose -z + 4*c - 6 = 9, -4*z - y*c + 3 = 0. Calculate r(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 12 + 3. Solve 3*d + 28 = 4*o, 4 = -3*o + o - h*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + 5 = a, -11 = -d - 5*a + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3578*z - 7650 = -3748*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-785)\/(-942) - (-45)\/18\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -760, -1518, -2276, -3034, -3792?\n\"Answer: -758*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bfbnbvvvfnvvvbbbbb. What is prob of sequence nfv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1823, -1887, -1999, -2159, -2367, -2623?\nAnswer: -2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(1900) - ((sqrt(1900) + 1)*4 - sqrt(1900))) + 5 + -3 + sqrt(1900) + -1*((sqrt(1900) - (-4 + -3*sqrt(1900))) + -4)))**2.\nAnswer: 800*sqrt(19) + 190016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - 15\/(-6))*6. Suppose 5*m - 2 - i = 0. What is the least common multiple of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2243 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 11, 0, 175, 6, 2\/5, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 3*z + 2. Let i(o) = 7*o + 4. Give -5*d(p) + 2*i(p).\nAnswer: -5*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*t + 2522*t**2 - 14 - 2518*t**2 + 3*t)*(0 + 0 - 1).\nAnswer: -4*t**2 - 16*t + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.1 in -5, 4, -0.1, -3, 465?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 917345?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-4\/9)\/h)\/h*h)\/h)**(-32)*h*h*h**(-2\/23)*h*h**(-2\/33) assuming h is positive.\nAnswer: h**(184607\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -7*w - 1 + 8*w + 8. Let x = -2 + 2. What is the units digit of l(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 736538 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*q + 117 = 0, 5*g - 166 + 28 = q. Let s be 56\/9 - 6\/g. Suppose -w + 12 = -0*w + 2*d, 2*d = 8. What is the greatest common divisor of s and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -10*w + 9*w. Let p = -31 + w. Let q = -87 - -88. Which is the second smallest value?  (a) q  (b) p  (c) 0.3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/4 + 12665*f**2\/4 - 2626575*f\/4 + 137316375\/4.\nAnswer: -(f - 12455)*(f - 105)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*h - 7*h - 3*h + 6 - h**4 in the form s*h**4 + f*h**2 + i*h + u + p*h**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -12, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-81)\/(-54)*(-40)\/168.\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jbzzeijp. Give prob of sequence ib.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of -1\/45*m**5 + 2\/9*m**3 + 2*m**2 + 0 + 1\/180*m**6 - 1\/36*m**4 + 0*m. Suppose p(x) = 0. Calculate x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10013*v**3*z**2 + 15479*v**3 with respect to z.\nAnswer: -20026*v**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38917.951 rounded to the nearest 10?\nAnswer: 38920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 + 81 = -5*t. Let l(u) = -u - 1. Let d be l(0). Let x be ((-9000)\/d)\/(t\/300). Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 149, 1003, 2423, 4409, 6961?\n\"Answer: 283*x**2 + 5*x - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 - 202001222?\nAnswer: -202002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -2*h**2 - 31*h - 551. Determine l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of v**3\/6 + v**2\/2 - 7*v - 103. Let y(t) be the first derivative of j(t). Let s(i) = 2*i + 2. Let k be s(-5). What is y(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, t: 4, u: 2}. Give prob of picking 1 t and 2 u.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 244696 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (40\/16)\/(1\/2). Let n be (-55)\/c - (-9)\/(-3). Which is smaller: n or -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.2831809 to 1 decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 16\/6) + 6\/(-18). Put 1, l, 2, -3 in decreasing order.\nAnswer: 2, 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of -66 - 1\/3*m**3 - 1\/2*m**2 + 1\/4*m**4 + 0*m. Let t(y) = 6*y**3 - 7*y**2 - 7*y. Determine -5*r(q) + t(q).\nAnswer: q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 7*b + 348593, 0 = -3*f + 2*f - 2*b + 87147. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 880 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2414 + -283?\nAnswer: -2697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*i - 4*p - 7 = -235*i, -3*i - 23 = -4*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*(sqrt(209) + (sqrt(209) - (sqrt(209)*1 + sqrt(209)) - sqrt(209))) + ((sqrt(209) + (2*sqrt(209) - sqrt(209)))*-4 - sqrt(209)))\/(-5*sqrt(891)*1).\nAnswer: sqrt(19)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.8 + -3.2. Which is the nearest to 0.1?  (a) j  (b) 0  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 PM and 3:02 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 28*v**2 - 3*v - 72. Let u(k) = 51*k**2 - 5*k - 150. What is -5*s(m) + 3*u(m)?\nAnswer: 13*m**2 - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**2 + 547713760*o - 18749397680833600 = 0. Calculate o.\nAnswer: 68464220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4686.8 - 1.88.\nAnswer: -4688.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) - (-36414)\/(-90). Let m be 2\/(-15) - 54\/w. Which is the nearest to -0.1?  (a) m  (b) -7  (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w - 5. Let m(t) = t**3 - 12*t**2 + 10*t + 16. Let l = 919 - 908. Calculate the smallest common multiple of z(-6) and m(l).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2424154626.\nAnswer: 2, 3, 47, 2865431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 7870*s + 4. Let t(v) = -7890*v - 5. Calculate -5*i(c) - 4*t(c).\nAnswer: -7790*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 22*f + 43. Let g be v(23). Is 7 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 3*t = r + 10, -4*r - 16 = -2*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61349844?\nAnswer: 2, 3, 5112487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes before 4:56 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/7)\/c**(-9))\/(c*c\/(c\/c**(-7)*c)*c*(c*c**8)\/c)*((c*c**(-9)*c)\/c*c)\/((c*c**(5\/6)*c)\/c*c)*(((c\/c**1)\/c*c)\/c)**(-2\/139) assuming c is positive.\nAnswer: c**(-19793\/5838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0, -1, 0.07, 3170.2, 3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000122463 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the first derivative of -31*w**2\/2 + 2*w + 40. Differentiate b(l) with respect to l.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*d + 24*d = 280 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -0.958, 1\/4, -2\/9, 0.02 in descending order.\nAnswer: 1\/4, 0.02, -2\/9, -0.958, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3599, -13572, -30267, -53684, -83823, -120684, -164267?\nAnswer: -214572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9025 - -10783. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 903 + -906. What is the second smallest value in j, -4, 3, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + -5. Let m = -1 + c. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -2, 64?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 + 1 + (5 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.1 + 4. Let n(f) = -3*f - 18. Let y be n(-7). Suppose -3*b - 10 = -y*o + 5*o, 3*o = -6. What is the closest to b in v, 0.2, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:38 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12 + -1091?\nAnswer: -10a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oljc when four letters picked without replacement from {k: 4, l: 2, c: 4, j: 8, o: 2}.\nAnswer: 16\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n + 1. Let b(j) = -j**2 - 3*j - 1. Let s = 23 - -33. Suppose -5*q + 61 - s = 0. Determine q*b(l) + 3*v(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02192020896 to 5 dps.\nAnswer: -0.02192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -296*v + 244*v = -676 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*t**2 + 12525*t - 17430625\/4.\nAnswer: -(6*t - 4175)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13652 - 12809 - 8*g + 26461 - 3*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + d - 3599, -v + 127*d + 1202 = 125*d. What is the greatest common divisor of 75 and v?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x - 1. Give m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of a**4\/6 + 19*a**3\/6 + 11*a**2\/2 - 24*a. Give s(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.6 + -2. Let f = 13.5 - 178.5. Let p = 165.18 + f. What is the nearest to p in w, -2\/19, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -3. Let d be (-6)\/5*(-5)\/a. Solve 0 = -5*k - d*o + 13, -6 = -3*k - 2*o + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2. Suppose -50*b + 5*h = -53*b, 3*b - 5*h = 0. Let u(w) be the first derivative of b*w + 11\/2*w**2 - 7. What is u(x(j))?\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 2*a + 5 = 2, 7 = 2*i - 3*a. Suppose i*l = -0*l. Let d be 9\/2*((-469)\/(-63) + -7). Solve 3*o + 3 = -l, d*c + 11 = -5*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68705107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 366.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 102*a*l*s**2 - 2*a*l*s + 278*a*l + 7*a*s**2 + 53*a*s - 118*l*s**2 + l*s - 3*s**2 - 3*s wrt s.\nAnswer: 204*a*l + 14*a - 236*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 2 + 1 + -5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50\/7 - 40\/7. Calculate the common denominator of 49\/6 + (-3)\/9 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 3*g. Let m be (0 + -2)*(-1)\/8*-12. Give h(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -60.55 - -0.55. Let l = -604.2 - -544. Let g = l - d. What is the nearest to 2 in g, -0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 5*j, -4*o + 23 = 3*j - 9. Let l(x) = -x**2 + 11*x - 4. Let k be l(10). Suppose 0 = a - k*a + 10. Solve o = a*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-140)*-24)\/(5\/(-25))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -35767720 at least -35767719?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 134.29*-9.\nAnswer: -1208.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30*r**3 + 1175*r**2 + 190*r - 195.\nAnswer: 5*(r + 39)*(2*r + 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 42 - -34. Is (-3864)\/9*(-171)\/m a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 - 74 = 2*u. Let a(n) = n**2 + 9*n - 2. Determine a(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 63\/4 of a litre?\nAnswer: 15750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -4*x + 4*n - 6, 0 = -4*x + 5*n + 42. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1861706*d**3*h**2 + 10*d**3 - d + 305346*h**2 + 39*h wrt d.\nAnswer: -11170236*d*h**2 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 385 + -364 - (1 - -40).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 3*z - 7. Let g(b) = 5*b**2 - 14*b - 36. Let r(y) = 11*f(y) - 2*g(y). Let m be r(-2). Let j = m - 4. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002 (base 3) to base 4.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + u. Let k = 37 + -35. Let z(q) = -3*q**2 - 3. Calculate k*w(b) + z(b).\nAnswer: -b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35748 by -5958.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5058*w**3 - 231*w**2 - 13*w.\nAnswer: 30348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 159513.\nAnswer: 3, 53171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rggng. What is prob of picking 2 g and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -208  (b) 4  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ypyypqqqpmpqyqpp. What is prob of picking 1 m, 1 p, and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -3*j - 7 - 4, -3*j - 2*r = -1. Let x be (-184)\/5*(-2 - 3). Suppose j*c + 67 = x. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 4*y**6\/3 + 11*y**2\/2 - 12. What is the second derivative of z(x) wrt x?\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -248 - -161. Let k = n + 146. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.81 and -261454.\nAnswer: 211777.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 18 - 3. Let a(j) = j**2 - 11*j + 13. Let g be a(9). What is the third smallest value in u, 3, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700)*-3 + 2)**2 - ((sqrt(252) - (sqrt(252) + (sqrt(252) - sqrt(252)*1)))\/sqrt(12))\/sqrt(3).\nAnswer: -120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*(u*u*u**4*u)\/u)**(3\/20)*(u*u*(u**(-2\/9)\/u)\/u)**(2\/11))**(1\/3) assuming u is positive.\nAnswer: u**(1999\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 + 7*n**2 - 4*n. Let b(f) = -f**3 - 8*f**2 + 5*f - 1. What is 4*b(q) + 5*x(q)?\nAnswer: q**3 + 3*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 < -1557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/((-12)\/32))\/(-1). Suppose 4*b + 4 - s = -4*m, 0 = 5*m - 2*b + 2. What are the prime factors of 22 + (4 - m\/3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 311 + -311. Solve -3*h + q*h = 5*p - 25, 3*h - 13 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -3*r**3 - 5*r**2 + 6*r**3 - r - 1 - 2 - 4*r**3. Let b be i(-5). Suppose -4*h = h - 10. What is the greatest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.160762 litres?\nAnswer: 4160.762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s**2 + 2*s - 2. Let l = -922 - -927. Let f be ((-10)\/2 - l) + 7. Calculate b(f).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 1219\/(-2))\/(-20*49\/235200). What is o rounded to the nearest 1000?\nAnswer: -147000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392*a = 391*a - 2*v + 9, 0*a - v - 3 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41\/40534 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 2\/8 - (-6020)\/112.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -13, -94, -231, -424, -673, -978?\n\"Answer: -28*c**2 + 3*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26.9 - 25.9. Let w = 6.7 + 0.3. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3450 divided by -690\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**5 - 3*o - 3*o**2 + 3*o**2 - 2*o**5 wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3 + 368*s**2 - 1440*s = 0. What is s?\nAnswer: 0, 4, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38775*i**3*z**2 + 4*i**3*z - 111658*i**3 - 16*z**3 + 1 wrt z.\nAnswer: 77550*i**3 - 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.402353823 rounded to four dps?\nAnswer: -5.4024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.8 + -0.81. Let h = w + 5.01. Let r(u) = -74*u + 1774. Let x be r(24). Which is the fourth smallest value?  (a) -2\/7  (b) 4  (c) h  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from kwwaggawggagkggaggw.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -7294*z**2 + 5 - 6 + 7295*z**2 + 5*z. Suppose -24 - 7 = m - 5*o, -m - 3*o + 9 = 0. What is s(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14200399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5073.60164 rounded to 0 decimal places?\nAnswer: 5074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 2567, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 3*u - 2 + 1, 2*i - 5*u = -1. Let t be (6\/7)\/(i\/28). Solve 4*k - t = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, 2.62387, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.11 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/24*-3 + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/6073 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -24, -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*c*d*p**3*q + 4*c*d*p**3 + c*d*p + 11*c*p**2 - c + 5*d*p**3*q - 2*p**3*q wrt q?\nAnswer: 9*c*d*p**3 + 5*d*p**3 - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**2\/2 - 27*o - 729\/2 = 0. Calculate o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -298216, -596434, -894652, -1192870, -1491088?\nAnswer: -1789306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1573501457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2525?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u**2 - 10*u - 5. Let g be (-14 + -4)\/(-9) - 6\/(-2). Let h(s) = 3*s**2 + 9*s + 4. Calculate g*h(j) + 4*v(j).\nAnswer: 3*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(308)*1*-4)\/sqrt(11)*2)\/((sqrt(4032)*2)\/(-1*sqrt(112))).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -663*m**2 - 774*m**2 + 2222*m**2 - 638*m**2.\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/80*24\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2059*g**2 - 6*g + 29005 wrt g.\nAnswer: -4118*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(252)*1*4 - (3 + sqrt(252)*-1)) + 1*sqrt(252)*-1*2))**2 + -1.\nAnswer: -972*sqrt(7) + 20492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 187322088 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 + 4*o - 3. Let l be x(1). Calculate the common denominator of -103\/18 and 3 + (l - (2 - (-489)\/36)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/27320 and -5\/104?\nAnswer: 355160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 526*p**2 - 1008*p**2 - 2 + 516*p**2 to j*p**2 + y*p + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 29 = 2*h, -6*h + 99 = 2*m + 47. Put m, 1, 3, 231 in descending order.\nAnswer: 231, m, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(846\/(-12))\/(-47). Which is the closest to 1\/6?  (a) w  (b) 0.3  (c) 714\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -156, -137, -130, -141, -176, -241, -342?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -0.1  (c) -693  (d) -2  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -397, -677, -957?\n\"Answer: -280*y - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from hphhphhphvphphppppph?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, w: 2, z: 3, p: 4, y: 1, v: 3}. What is prob of sequence ww?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/12)\/(-3 - -1 - 35\/(-10))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -6*d**2 - 254*d - 86. Let y be l(-42). What is the closest to -0.04 in -1\/30, y, -1, -2\/5?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -4, -16, -1\/5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 102 + -57. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 67063, 67061, 67059?\n\"Answer: -2*y + 67065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + p - 1)*(58 - 36 + 16 + 129) in the form u + j*p and give j.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 4*g - 8 = 0, -3*l = -2*l + g + 2. Let x = -651 + 654. Solve x*q - 8*q + 10 = l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -5*y + 2. Let u(w) = -w. Suppose -97*d = -558 + 655. Determine d*c(j) - 4*u(j).\nAnswer: 9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.9, 0.2, 3\/4, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d**5 + 10*d**2 + 3*d + 3. Let f(i) = -i**5 + i**2 + i + 1. Let a(s) = -3*f(s) + r(s). What is the third derivative of a(u) wrt u?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*r + 72*r + 64205 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 124 - -406. Let s = -521 + w. Solve -2*d + s = 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (13 + -1)\/(-3)*-4. Let q = 32 - u. Solve 0 = n + v + 7, q = -5*v - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u + 32. Let r be p(-14). Suppose -11 = -17*m + r*m. Let g be (m + 8)\/(-1*(1 - 0)). Solve 5*k = g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 4*-5*(-1 + sqrt(475)).\nAnswer: -100*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (162414\/(-43826))\/(60\/(-272))\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**0)**(-15\/2)*(s*s**(-2)*s*s)\/s**5)\/(s\/s**(-6)*s\/((s*s*s*s**(4\/7)*s*s*s)\/s)*((s\/s**5)\/s*s)\/(s*s**(5\/3))) assuming s is positive.\nAnswer: s**(5\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(126\/41 - 3). Let b(x) = 9*x**2 + 2. Let j be b(-1). Let t be (-28399)\/(-77) - -1*2\/j. Calculate the greatest common divisor of w and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 14 = -2*y, -2*y = -5*n + 3*y + 60. Let p(q) = -49*q**2 + 11*q - 10. Let a be p(n). What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 757 is divided by 371.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 - b. Let l(j) = 99*j + 0 + 0 + 30*j**2 - 84*j. Let s(g) = l(g) + 15*u(g). Let q(r) = -2*r. Calculate s(q(t)).\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j. Let t be -11 + 12\/3 - -3. Let x be 6*(-3)\/(6\/(-5)). Let o(m) = 27*m. Give t*o(f) + x*z(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -2. Suppose -j*s + 5*s = -5. Is ((-6)\/3)\/2 - s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 40*m - 276. Suppose -68 = -3*b - 47. Let f be r(b). Solve f*a = 7*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.061 + -21.061. Let g = -0.008 + 0.408. Which is the second smallest value?  (a) g  (b) d  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 51.56722 milligrams?\nAnswer: 0.00000005156722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6.3 and -10929.\nAnswer: -68852.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*10*(-6)\/22*60533\/16509.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -593 or -46832\/79?\nAnswer: -593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -107*q**2 + 3*q + 40. Let h(z) = 534*z**2 - 16*z - 202. Let f(o) = 3*h(o) + 16*w(o). Differentiate f(b) wrt b.\nAnswer: -220*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(153))**2 + (sqrt(612) + -1)**2 - -4*(sqrt(1377) + 0).\nAnswer: 30*sqrt(17) + 767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 12*u - 21. Let m be f(2). Solve -m*q - 29 + 32 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(3\/4)\/z**(-5))\/((z*z**(5\/3)*z)\/(z**(-3\/4)*z))*(z*z**(-3\/8)*z)\/(z**(-1\/13)*z)*((z**(-1)*z)\/z)**(-29\/5) assuming z is positive.\nAnswer: z**(13783\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + h - 1175 = -3*q, 0 = 2*q - h - 1173. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39208 by -9802.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of u**6\/120 - u**5\/10 + 5*u**4\/24 - u**3\/3 - 7*u**2. What is r(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -6*v**3 + 11*v**2 - 5*v + 8. Let h(p) = -p**3 + p**2 - p + 1. Let j(k) = -5*h(k) + y(k). Give j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + 18 + -5 + (11 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - ((-21 - (-21 + 3)) + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -37, -8, 35, 98, 187, 308, 467, 670?\n\"Answer: b**3 + b**2 + 19*b - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 1.7  (b) -45134  (c) 0.2  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 289, 2\/5, 4\/9, 0.04, 8\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**3 + m**3 + m**3)*(-3*m - 2*m + m) + m - m - 4*m**4 - 8*m**3 + 8*m**3 + 7*m**4 + (2*m**2 - 4*m + 4*m)*(-m**2 + 2*m**2 + 0*m**2).\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-34)\/2*2\/(-2). Let o = h - 17. Let c(a) = -a + 5. Let p be c(o). What is the greatest common factor of 40 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g**5\/12 - g**4\/24 - g**3\/3 + 8*g**2 - 12. Let h(m) be the second derivative of p(m). List the prime factors of h(-4).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5525 + 21?\nAnswer: -5504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 - 0.1. Let s = 3.0468 - 0.0468. Which is the third smallest value?  (a) s  (b) -3  (c) 0.4  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 2 w when four letters picked without replacement from {q: 2, x: 1, w: 4, c: 1, z: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 0, 3, 4, 223 in decreasing order.\nAnswer: 223, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*(-559)\/3575 - 4\/(-22). Which is the closest to 2?  (a) -4  (b) o  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1454 - -1430) + (1 - -30) - (1 - -25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)\/(sqrt(24)\/sqrt(2)))\/(sqrt(704) - (sqrt(704) + (sqrt(704)*-2 - sqrt(704)) + sqrt(704))) + (sqrt(588) + 0)**2*-5.\nAnswer: -2940 + sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**5 - 2028*d**4 + 258060*d**3 - 256036*d**2.\nAnswer: 4*d**2*(d - 253)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5\/2 - 23*m**4\/2 + 63*m**3\/2 - 61*m**2\/2 + 10*m.\nAnswer: m*(m - 20)*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -497, 68, 1 in decreasing order.\nAnswer: 68, 1, -2, -5, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -820*s + 1135*s = 403 - 88 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11\/(-3) + 6\/9. Let k(r) = -3*r**3 - 3*r**2 - r - 3. Let i be k(s). Suppose 4*x - i = -6. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -2, -60.\nAnswer: -60, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14541.2535 rounded to the nearest ten?\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-6)*12\/88. Put -0.4, q, -1, 2\/7 in descending order.\nAnswer: 2\/7, q, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of f**4\/12 - f. Suppose -4*s = -2*c + 2, 4*s + c = 4*c - 7. Let n(z) = s*z + z + 4*z - z. Calculate y(n(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (3\/4)\/((-12)\/(-960)*10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 12 + 18. Suppose 0 = -l*a + a. Solve a*k + 1 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4126 = 3*u + 5*r + 4103, u = 5*r - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1212024 (base 8) in base 7?\nAnswer: 2554215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -4*c - 5. Let k be (-210)\/(-385) + 1 + (-122)\/22. What is u(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + 7 - (3 + -4 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z**(-27)*z))\/z*z**(-2\/7) assuming z is positive.\nAnswer: z**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 69187 divided by 92.\nAnswer: 69187\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36415582171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 3*o + 5. Let n be j(-4). What are the prime factors of -1 - n*24\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 561.946 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (130\/(-30))\/(1\/3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 + 329*l**2 + 1396*l - 4148.\nAnswer: (l - 2)*(l + 61)*(5*l + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -4264.707 to the nearest integer.\nAnswer: -4265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/((a\/a**0)\/a*a)))**2*a\/(a**(-3\/4)*a)*a**(1\/4))**(-25) assuming a is positive.\nAnswer: a**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 31, -5, 16 in decreasing order.\nAnswer: 31, 16, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 2:59 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1320 divided by -21950\nAnswer: 132\/2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {f: 3, z: 1, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzthttutuuu. What is prob of picking 1 z and 1 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of 52*z**7\/21 - 6*z**6 + 12*z**5\/5 + 7*z**4\/3 + 2*z + 654. What is k in f(k) = 0?\nAnswer: -7\/26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1205, -10817, -36943, -87839, -171761, -296965, -471707?\nAnswer: -704243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-2)\/3*561\/(-34)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4503 and 237.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1448847, 5795393, 13039637, 23181579, 36221219, 52158557, 70993593?\n\"Answer: 1448849*a**2 - a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 20*d**3 - 3*d**2 - 15*d + 42. Let h be b(-18). Round h to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 18 - -3) + 12 + -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 243259 + s**2 - s**2 + s**2 - 243261.\nAnswer: s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 + 3*u**2 + 455*u - 71*u + 20 + 19 - 64.\nAnswer: 3*u**2 + 384*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 0*l + 3 - l**2 - 2*l**3 - 5 - 2*l. Let d = -188 - -186. Give h(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-2312)\/294 - -15 - 7 and 53\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 111 + -2b560?\nAnswer: -2b44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-177)\/4 + (-4)\/(-16). Let y = 129 + -63. Let w = y + r. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27.13 + 27. Let w = n + 1.13. Let m = -0.2 + 0.21. Is w at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 187788113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/8615 and -16\/12061.\nAnswer: 60305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*z - 21*z - 3*g + 138, -2*g = -5*z + 158. What is the greatest common divisor of z and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3198.983l?\nAnswer: 3198983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d2 + -1510?\nAnswer: -122d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.349 - 0.409. Which is the biggest value?  (a) -0.9  (b) 1\/2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 171*m**3 - 60*m**2 - 171*m + 60. Let j(s) = 17*s**3 - 6*s**2 - 17*s + 6. Let q(v) = 2*f(v) - 21*j(v). Solve q(i) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 2*q + 24. Let z = 2261 - 2269. What is k(z)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + -19. Let m = 7 + k. Calculate the lowest common multiple of m\/(-4) + (-76)\/(-16) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110010010110100000011 (base 2) to base 12\nAnswer: 676997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 512883.6 millilitres in litres?\nAnswer: 512.8836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(8\/9))\/d**(-18)*(d**(2\/45))**38)**(-23) assuming d is positive.\nAnswer: d**(-2277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -2, 3, 114, 2\/3 in descending order.\nAnswer: 114, 3, 2\/3, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (4\/((-72)\/6))\/(8\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/71092 and 1\/60936.\nAnswer: 426552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.4 not equal to -0.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 219*w**2 + 607*w**2 - 466*w**2 + 773*w**2.\nAnswer: 1133*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3134149*c**3 - 2494478*c**3 + 15362448*c**3.\nAnswer: 16002119*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7644465 * 5.\nAnswer: 38222325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 582\/4*10\/15. Let i = m - 46. Which is bigger: 50 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -18*n + 686. Let h be c(38). Solve 4*k = 0, 0*k + 4*k + 4 = h*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1250.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(3\/8))**(-8\/5) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-114)\/21 - -6) + (-4)\/14. Let z = -22.41 + 0.81. Let y = z + 22. Sort 5, y, i.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of n**8\/56 - 92*n**6\/15 + n**4\/4 + n**3\/3 + 227*n**2\/2 - 252*n + 3. What is the third derivative of k(v) wrt v?\nAnswer: 120*v**3 - 4416*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3820\/11 + 347. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 3*p**2 - 3 + 11*p - 3*p**2 + 1 - p**2. Calculate the remainder when o(8) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -8*(-410)\/(0 + 5). Suppose 0 = -5*j + 379 + s. Round j to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7554960 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3055857.\nAnswer: 3, 7, 145517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (4 - (5 - (-8 - -11)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -10*p - 15. Suppose -o + 11 = p. Solve -o*w = -9*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(-7372*v + 10134*v - 4432*v - 4405*v).\nAnswer: 6075*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 8, 4*m + 5*j + 74 = 770. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -107*p + 1327. Let x(m) = -46*m + 663. Give 6*a(h) - 14*x(h).\nAnswer: 2*h - 1320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 28\/(-5))*1275\/(-510)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + -56. Let n = i - -61. Solve -16*b**3 + 4*b**3 - 4*b**4 + 3*b - 11*b + 4*b**5 + 23*b**n - 3*b**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 6 = 3*g, 33*g - 32*g + 22 = -5*z. Let k(u) = 1 - u**2 - 11 + 8. Determine k(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7108043435 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-132)\/77*7\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 591, 2060, 4471, 7824, 12119, 17356, 23535?\n\"Answer: 471*v**2 + 56*v + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o*o\/o**(-3\/5)*o*o)*o)\/o)**27*(o*o\/o**(3\/10))\/(o**11\/o) assuming o is positive.\nAnswer: o**(-211\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/3 - 40*n**3\/3 - 2*n**2\/3 + 40*n\/3.\nAnswer: 2*n*(n - 20)*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -133, -277, -431, -601, -793?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1088)*-2 + sqrt(1088) - sqrt(1088))*2 - (sqrt(1088) + 0 + sqrt(1088) + -4)) + sqrt(1088)*-1*5*-2*-3)**2.\nAnswer: -2304*sqrt(17) + 1410064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 3*m**2 + 7*m - 4. Let r(l) = 2*l + 2. Let w be r(-2). Let f(q) = q**3 + q**2 + 1. Let s(h) = w*f(h) - d(h). Is s(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of 0*s + 26 - 19\/2*s**2. Let i(b) = 2 + b - 2. Determine w(i(x)).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2717, 2632, 2205, 1202, -611, -3468, -7603, -13250?\nAnswer: -20643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 - 20*w + 114. Let u be z(11). What is the highest common divisor of u and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.48 - 0.08. Let t = -0.072 + -6.328. Let z = t - -6. Put i, -4, z in ascending order.\nAnswer: -4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 1172 = -14*t + 10*t, -4*f - 16 = 0. Calculate the remainder when t is divided by 147.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8070 + -7622. What is the remainder when c is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/1647255 and 7\/15.\nAnswer: 1647255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2504.653 decades to years.\nAnswer: 25046.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/21, -2, 1, 0 in decreasing order.\nAnswer: 1, 0, -2\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13192*u**2 + u**3 - 2888*u**2 - 18*u**3.\nAnswer: -17*u**3 + 10304*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7*h - 22. Let c be p(-3). What is the remainder when 65 is divided by ((4\/12)\/c)\/((-4)\/264)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 495 = -32*h + 31*h. Let w be (-1080)\/h - 2\/11. Suppose 3*p - 9 = 2*s, 5*s = s + 3*p - 3. Solve w*t - 6 = -j + t, s*j = -4*t + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09367 + 0.04529. Let m = 0.048 + y. Round m to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 14*g - 154. Let r be t(11). Put r, 6, 3, -4 in descending order.\nAnswer: 6, 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -47 - -48. Solve b = 2*b - d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/1)\/8*-6. Let g = 22 - 10. Solve h*u + 4 + g = 4*v, 2*v = 4*u + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, l: 2, e: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from adddaaa. Give prob of sequence ad.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 2*o**2\/21 + 924800*o\/21 + 106906880000\/21 = 0.\nAnswer: -231200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2767 and 4864386.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 7*i + 23. Determine u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3224 divided by -124?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 688  (c) -148.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 98.12702mg to micrograms.\nAnswer: 98127.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j\/(j\/(((((j**(-3)*j)\/j*j)\/j)\/j*j)\/j))*j*j*j)\/j**(2\/5)*(j*j*j\/(j\/((j\/(j\/j**(3\/4)*j))\/j)))**(-40) assuming j is positive.\nAnswer: j**(-147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 44 and 21802.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 4*d + 29 = 26, 0 = 3*d - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 313, 545, 777?\nAnswer: 1009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2 - 178*x + 172*x - 19. Let t be k(-4). Suppose -129 = -11*q + t. What is the smallest common multiple of q and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*k**4 + 100148256*k**3\/7 - 59700049306194*k**2\/7 - 460549426279140*k\/7 + 136459021442400\/7 = 0. Calculate k.\nAnswer: -8, 2\/7, 1192245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 336, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011110011000110110010110010 - -100?\nAnswer: 1011110011000110110010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19069, 76235, 171505, 304879?\nAnswer: 476357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -684.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -119563 and 1.\nAnswer: -119563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, -4\/9, -16705 in increasing order.\nAnswer: -16705, -34, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.41 take away -0.0371?\nAnswer: 35.4471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/((x\/(x*x*x**(-2)*x))\/x))\/x)\/x*x)**2\/(x**0\/(x\/(x*x**(-2\/5))))*(x**(-1))**(1\/29)\/(x*x**2)**30 assuming x is positive.\nAnswer: x**(-12707\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -w - 63, 3*w + 36 = 2*t + t. Let k = t + -15. Let s(x) = 2*x + 6*x + x - k*x. Let q(d) = -2*d**2. Determine s(q(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 10) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -181 + 191. Let a(j) = 6*j - 47. Let o = 116 + -79. Calculate the remainder when o is divided by a(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2096141 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-627)\/2470*-13)\/(39\/(-26)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-7)*(-1)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of 0*n - 41 - 13\/2*n**2. Let a(g) = 3*g. Determine a(m(c)).\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-560)\/(-32) + -17)*0*(-2)\/6. Let y = 19 - 13. Which is the nearest to -3?  (a) z  (b) y  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 764 divided by 764\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 less than or equal to 6150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-4)*((-448)\/(-240))\/(36\/27)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.454 - -0.044. Let p = 0.01 + q. Which is the nearest to 1?  (a) -0.1  (b) p  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c. Let a(b) = -124379*b**2 + 10. Determine t(a(g)).\nAnswer: 124379*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4 - 2111432*v**3 - 278634068164*v**2.\nAnswer: -4*v**2*(v + 263929)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -8314, -16747, -25258, -33877, -42634, -51559?\n\"Answer: -5*r**3 - 9*r**2 - 8371*r + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.1017 rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 13) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 952, 951, 950, 949, 948, 947?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 2*y**3 - 2080*y**2 + 226986*y - 1287468 = 0.\nAnswer: 6, 117, 917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 823718?\nAnswer: 2, 7, 17, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 68110 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**5 + 21*d**3 - 159*d + 3.\nAnswer: 40*d**3 + 126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-61)\/(-244) - (9\/4)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 27 + -5 + 14 + -20 + (-53 - 21)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*h + 240*h + 24 = 130*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28472 - -9515. Is h 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 220252883 to the nearest integer?\nAnswer: 14841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5097dc (base 15) in base 5?\nAnswer: -1440012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37136?\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + 1*sqrt(112)*4 + (sqrt(112) + 2*2*sqrt(112))*3)*4)**2.\nAnswer: 4864*sqrt(7) + 646976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (3 + 11) - ((8 - 5) + -9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*f - 19 - 51 + 72 + 5*f**2 + 2*f**2 - 2*f**2 + 3*f**2 + (f + 3*f - 2*f)*(-3*f + 2*f + 3*f) in the form i + l*f**2 + q*f and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(6\/5)\/(p\/(p\/(p*p**(-27\/2)))*p))**(-7\/4) assuming p is positive.\nAnswer: p**(-889\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-8))\/(3\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 78303 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 - 33. Let n = -6 + b. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 652, 958, 1468, 2182?\nAnswer: 3100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rs when two letters picked without replacement from rsmmssmmssmamassarr?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 65 + 188. What are the prime factors of d?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/5)\/((3 - 2)\/(-1)). Let x = -159301\/44 - -3620. Let u = 8\/11 + x. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooyyyoyooyyyyyoyyh. Give prob of sequence oy.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -842*m**2 + 387*m + 753. Calculate v(-2).\nAnswer: -3389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -195453 or -192089?\nAnswer: -192089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1026.057ml?\nAnswer: 1.026057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1248 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 400 a factor of 193777985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106973049?\nAnswer: 3, 157, 383, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of w**7\/315 + w**6\/18 + 2*w**5\/5 + 3*w**4\/2 + 3*w**3 - 57*w**2. Let t(v) = 0. Calculate v.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 40 - 1. Let u = -91 + 65. Let q = u + j. Calculate the remainder when 23 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooffnfonoofoo. Give prob of picking 3 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 63 and 357?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 6*k - 8. Let v be d(4). Suppose -5*f + w + 19 = v, f - 3*w = w + 19. Solve f*z + 0*z = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 54 + -5. Let c(h) = 2*h**2 + 3*h + 4. Let s be c(3). Let q = d - s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8310.\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 6, v: 4, q: 1, u: 1, j: 1, d: 2}. Give prob of sequence ddv.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 3:12 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -9*z + 38. Let n be c(4). Let u(x) = 5*x**n - 8*x**2 - 25*x**2. Let w(g) = 2*g. What is w(u(k))?\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7463 + 7463.2. What is the closest to 0.108 in f, 6, -1, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 4, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 177 and 590.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-4\/11))**5 assuming d is positive.\nAnswer: d**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 4*j - 10. Let c be k(2). Find the common denominator of -49\/10 and (-410)\/40*(0 + c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 11. What are the prime factors of g(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7416832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27114, -217629, -734766, -1741845, -3402186, -5879109?\nAnswer: -9335934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**7\/210 + l**6\/150 - 7*l**5\/100 - l**4\/60 + l**3\/5 + 32*l - 2. Let v(z) = 0. Calculate z.\nAnswer: -3, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 28 + -5 + -1 + -9\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 15, -4 in decreasing order.\nAnswer: 15, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -3) + 6 - (19 + -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of -3\/2*u**2 + 7\/3*u**3 - 18*u - 14. What are the prime factors of s(5)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) - (sqrt(468)*-2 - sqrt(468))*-3)\/sqrt(9))**2*1.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -54763.9 and -1.1100355.\nAnswer: -54765.0100355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by (432\/(-96))\/(1 + (-33)\/24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6*-1 - (-1976 + -107). What is the greatest common factor of 67 and z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 165\/45 - (-8)\/(-2*1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 4*k + 0*k)*(0*k + 0*k - k**2) + 1852*k**3 - 2105*k**3 + 7812*k**3 + 8423*k**3 + 348*k**3.\nAnswer: 16328*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -27*1 - (3 + -7). Let g = o + 19. What is the units digit of 180\/g*(3 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208*x - 338*x - 520 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 1035*o + 181632.\nAnswer: -3*(o - 128)*(o + 473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -631907609 - -631907606.29999877. Let q = 2.3 - 5. Let g = z - q. What is g rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*g + 11. Let h be 24\/(-54)*2\/g. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110939901 to the power of 1\/2, to the nearest integer?\nAnswer: 10533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400850826 is divided by 1488.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -x - 3, z = 6*x - x - 9. Solve -16*s - 14 = -x*f - 14*s, -5*f - 15 = 5*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36733050583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrqrqqsqsrqmm. What is prob of picking 1 q, 1 m, and 2 s?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 60248271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 697766671.\nAnswer: 7, 99680953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 205597 and 3542?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6292857073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1708236235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2*b. Let l(q) = 3*q. Let f = 4 + -6. Let u be (5\/f)\/(4\/(-8)). Let z(k) = u*l(k) + 8*j(k). Let h(t) = 2*t**2. Determine z(h(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 10:04 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 266489300 to the nearest one hundred thousand.\nAnswer: 266500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j = 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 116 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.502131km in centimeters?\nAnswer: 850213.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 293774.\nAnswer: 2, 13, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfuxoxuuxuufo. What is prob of picking 1 c and 2 o?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 738 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o + 3. Let w be j(4). Let f = 16 + w. Let x = -0.2 - -2.2. Put f, -2, x in ascending order.\nAnswer: -2, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 11185.1144977.\nAnswer: 11185.2144977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22230671 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 1:27 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6612143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -103 - -85. Let d be 0 - 45\/a*(-4)\/(-5). Let i = -18.7 + 19. What is the closest to -2 in d, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-793 + 826 - 56\/2)\/(5\/46 + 0)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 7*t**2 - 33*t - 5. What is x(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92 - 134. Let g = o - -41.99999933. What is g rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -268 - -319 - (-9 - (3 - 6))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3101 is divided by 142?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 9. Suppose l = d - 153 - 11. Suppose 674 = 2*m - d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27480705 divided by 6.\nAnswer: -9160235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -4*w**3 + 8756*w**2 - 4671328*w - 132587712 = 0.\nAnswer: -27, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16740 and 1528362.\nAnswer: 15283620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 4163628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 87177156 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/(-48))\/((-637)\/156)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + -5 + (3 - 1). Let h = -16 + -11. Let p = f - h. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t**3 - 448*t**2 - 8*t + 12. Let i(b) = 3*b**3 - 446*b**2 - 10*b + 14. Determine 6*f(u) - 5*i(u).\nAnswer: 3*u**3 - 458*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -571 - -582.12. Let h = f + -0.12. What is the second biggest value in h, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30658573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 83 and 55859?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**2 + 4*g**2 + 0*g**2)*(13 + 45 - 7)*(-1 + 3 - 3) + g**2 + 3 - 3 + (0*g + 6*g - 4*g)*(-g + 1 - 1) - g**2 - 2*g + 2*g - 47*g**2 + 17*g**2 + 11*g**2.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 9*p**2 - 12*p + 6. Let k be j(10). Let v(n) = n**3 + 14*n**2 - 2*n - 13. What is the tens digit of v(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1996 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (84\/(-455))\/6*(6 - 11). Let i = 2 + -2. Which is the smallest value?  (a) i  (b) 3  (c) 0.3  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 2, c: 3, j: 3, m: 1, f: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + c. Let x(d) = -4*d**2 - 2*d. Calculate -4*v(s) - x(s).\nAnswer: 4*s**3 + 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gsyysyhysssyyhyyhgs. Give prob of sequence sg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1082447489 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 l be 0 + 0 - (0 + -2). Suppose -l*k + 22 = -0*k. Let o = k + -6. Let f(c) = c**2 - 5*c - 4. Calculate f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q**2 - 4*q**3 - q**2 - 1 + 2*q + 3*q**3. Let t be z(2). Which is the smallest value?  (a) 0.2  (b) t  (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23666920 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 9*u - 4. Suppose -b + 144 = 17*b. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + -7 - (-1)\/1. Let c be 3 + t + 6*-1. Let l = 12 + c. Calculate the lowest common multiple of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 378 - 375. Suppose 0*h = 2*h - y*n - 1043, 0 = -5*h - n + 2616. List the prime factors of h.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k + k - 2*k - k. Let p(l) = 5*l. Let s(g) = -4*f(g) - p(g). Let o(q) = -q. Calculate s(o(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -5  (b) -4.3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2436 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 69106369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 5010 divide 764240692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 62 - 184\/3. Let o = -3.859 + 0.859. Which is the second smallest value?  (a) 4  (b) 1  (c) o  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8516 - 8327 = 26*d + d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 25167, 50320, 75465, 100596, 125707, 150792, 175845, 200860?\n\"Answer: -x**3 + 2*x**2 + 25154*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -12*n**2 - 83*n - 1. What is q(-4)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*((-35)\/(-5) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3069 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -3*y + 6. Let l be (-147)\/(-28) - (-3)\/4. Factor -u**2 - 2*u**2 + l*u + 4 + y*u**2 - u**2.\nAnswer: 2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -233*v + 238*v = 20. Let b be (-3481)\/(-1121) + (v\/19)\/(-2). Find k such that 2\/5*k**4 + 2*k**2 + 4\/5*k + 8\/5*k**b + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g - 5. Let k be j(-12). Let w = 12 - k. Solve 6*s = 3*s + 3, 3*y + w = -4*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, x: 5, w: 1, v: 1, f: 1}. What is prob of picking 1 v and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23291*i**2 + 4*i**3 - 2309*i**2 - 2*i**3.\nAnswer: 2*i**3 + 20982*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1413778228 a multiple of 4457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/21 and (287\/666 - (-36)\/(-81))*-97.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -10*h - 6. Let q be j(-4). Let o = q - 19. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/310 and -1\/15177445.\nAnswer: 30354890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.28 - 0.02. Let u = b + 5.376. Let g = -0.666 + u. Round g to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 2.9. Put -0.59, 0.4, m in increasing order.\nAnswer: m, -0.59, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, -7341, 11 in descending order.\nAnswer: 11, -2, -5, -7341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 + -8. What is the tens digit of 526\/18 + z\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 30*c**2 + 9*c - 2. Let m be i(2). Suppose 118 = -9*y + m. Solve 25 = 3*q - 4*x, 2*q - 14 = y*x - 0*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2124900927.\nAnswer: 3, 1531, 154213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 349 + -11. Let c = -6866 - -6892. What is the greatest common factor of c and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 18 = 5*l, 5*l - 3*y + 11 = -1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**4\/14 - 4*s**3\/21 - 3*s**2\/7 + 19. Suppose f(z) = 0. What is z?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of 1\/4*k**4 + 10 + 9*k - 7*k**2 - 2\/3*k**3. Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 3. Let y = 736 + -734. Solve g + 3 = -y*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1432347503 and 1979.\nAnswer: 1432349482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from zgzgzzzpzzgipg?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of 3*y**2\/2 - y + 2. Let m(u) = 0*u - 2*u - 2*u + 2. Let s(c) = -5*m(c) - 8*q(c). What is the first derivative of s(w) wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32604 and 672771.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (78\/(-13))\/(((-16)\/4)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 2*q - 6. Let d(b) = -10*b + q - 7 - 15. Let p(i) = -i - 1. Let w(m) = 2*d(m) - 22*p(m). Let l(h) = -5*h**2. What is l(w(k))?\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -6*s**3 + s. Let t be n(1). Let u = 4.8 + -4.8. Let f = u + -0.5. Which is the smallest value?  (a) t  (b) f  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2722*f - 1360*f - 912 - 7*f**3 + 3*f**3 + f**2 - 1362*f.\nAnswer: -4*f**3 + f**2 - 912","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-3)*(-424)\/742 + 1\/39*-113?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2580.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -o**8\/1680 + o**7\/280 - o**6\/120 + o**5\/120 - 2*o**3\/3 - 4. Let l(b) be the third derivative of n(b). Factor l(u).\nAnswer: -u*(u - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -31 - -14. Let y = d - -10. Let b be y + (-2)\/(-4)*2. Let n(i) = i**3 + 6*i**2 - 2*i - 7. Give n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.257 - 0.957. Which is the third biggest value?  (a) 0.5  (b) 1  (c) 3  (d) -0.07  (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2, 30, 0.1, 66.56, -2\/15, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -2*h + 17656, 36*h + 3*q = 40*h - 35306. What are the prime factors of h?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 5*m - 25, -4*p + 3*p - 2 = 0. Let d(i) = 21*i**2 + 18*i - 4. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -4 + 8*m - 3*m**2 + 2*m**2 - 4. Let d be n(6). Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32628, -65305, -98006, -130731?\nAnswer: -163480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of c**5\/30 + 5*c**3\/6 - 4*c. Let l(t) be the second derivative of x(t). Let n(f) = f**2. Determine n(l(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - -1 - (-3 - 0)) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 6*k - 3. Let w be q(4). Suppose 0 = w*i + 5*c + 5, 5 = -c - 4*c. Let o = -84 + 88. Solve -o*t - 4 = -i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 * -3436.261.\nAnswer: -48107.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.097 + -0.203. What is the closest to 2 in -2, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (0 - (-16 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 986*a + 153*a + 11390 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r - 2*r = -32. Sort 0, r, -3, 1 in descending order.\nAnswer: r, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*p**6 + 7*p**3 - 291*p**2.\nAnswer: -360*p**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 6*o**2 - 30*o**2 + 16*o**2 + 9*o**2. Let z(c) = c**2. Let i(r) = r**2. Let b = -3 - -2. Let u(p) = b*i(p) + 2*z(p). Calculate u(s(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.1908215 tonnes?\nAnswer: 190821500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4780481 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18404?\nAnswer: 2, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 314*o + 7817. What is i(-25)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**4\/12 - 8*x**3\/3 + 23*x**2\/2 - 13*x. Let p be z(13). Let y = -12 - p. Solve f - y = -3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of g**6\/27 + 44*g**5\/45 + 37*g**4\/18 - 136*g**3\/27 - 164*g**2\/9 - 160*g\/9 + 5180. Solve l(r) = 0 for r.\nAnswer: -20, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 6 + 6. Suppose v = 3*x - 5, 5*x - 7 = 6*v - b*v. Let r be (20 - 1)\/(1\/v). Solve 5*d - 6 - r = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -684 by 114.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j**4\/3 - 14982284*j**3\/3 + 14982288*j**2 - 44946868*j\/3 + 14982290\/3 = 0. What is j?\nAnswer: -7491145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 4 = -4*d - 4*y, 5*d - 2*y - 16 = 0. Suppose -i = -d*g + 7*g + 6, -1 = -g + 2*i. Let q(v) = -v - 11 - v**2 + 11. What is q(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 - -7*(-2 - -3). Suppose 4*m + 5*w - 194 = 0, 0 = 3*m + j*w - 217 + 71. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, 4\/3, 1, -232\/5, -0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/13)\/s**(-5\/7)*((s\/(s*s**(1\/20)))\/s*s)\/((s\/(s**7\/s))\/s) assuming s is positive.\nAnswer: s**(11989\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 177*x + 10*x**2 - 177*x - x**2 + 3*x**2 + 0*x**2 - 429 + 429 - 5*x**2 + x**2 - 3*x + 3*x + (2*x + 4 - 4)*(2 - 2 - 2*x) - 2*x**2 - x + x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 491 a factor of 432649081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1387213652\/446020295 + -2\/1820491. Let n = w - -1\/98. Calculate the common denominator of 85\/16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -55975 or -62236?\nAnswer: -55975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4485 and 8671?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1459?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2)*(-57)\/(-36)*1824\/152?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 405901 is divided by 358.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3288.3 and -3?\nAnswer: 3291.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7, 9, 3, -17, -57, -123, -221?\n\"Answer: -o**3 + 2*o**2 + 3*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + 833*n + 39887. Calculate v(-51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b + 86. Give p(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -724186*w = -724214*w + 3*c + 155, w = 2*c + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 51*f - 56*f = 2, -f - 10 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - (-20 + (-37 - 13 - -16)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 20 = 8*p. Calculate the greatest common factor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**3\/c*c)**(-1\/7) assuming c is positive.\nAnswer: c**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1507 - -2779. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/2  (b) 1  (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 11*r + 2. Let q be b(-13). Calculate the highest common divisor of 140 and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, v: 4}. Give prob of sequence ppv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (0 - -3) - (4 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 272479\/16 - 17036. Calculate the common denominator of 65\/48 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, u: 4, y: 3}. What is prob of picking 3 y and 1 f?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 1113 = -77. What is n rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -170*18\/(-60) + 1*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 159.9 - 148. Round t to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 7180*y - 387640. Give k(54).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 25 = 5*w, -5*w + 5*l + 5 = 6*l. Factor 1\/2*k**5 + 3*k**3 + w*k**4 + 2*k**2 + 0 + 1\/2*k.\nAnswer: k*(k + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 36\/(-108) - (0 + (-2)\/6). Solve 6*r - 3*r - 6 = o, 3*n = 5*r - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -52710  (c) -0.4  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 99515755*r**6 - 56302621*r**2 wrt r.\nAnswer: 11941890600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-1 - 1)\/1). Suppose a - 25 = -3*d - d, x = 2*d - 10. What is the remainder when 9 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77.959449 rounded to 2 decimal places?\nAnswer: -77.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -24885110 to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 104093868 divided by 6\nAnswer: 17348978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8024, 60647, 203502, 481703, 940364, 1624599, 2579522, 3850247?\nAnswer: 5481888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -11550, 0, 7.\nAnswer: -11550, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -742*l**2*n + 329*l*n + 3*l + 206*n - 10906 with respect to l.\nAnswer: -1484*l*n + 329*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/25 and -33\/12785.\nAnswer: 63925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -73 - -67. Let r be 5 - 2 - (9 - 2 - 6). Let n be 3\/30*(0 + 2). What is the third biggest value in g, r, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 3. Let f be 3*((-6)\/9)\/x. Find the common denominator of (f*(-16)\/14)\/2 and -55\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-42) - -732*32\/102144?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -6134 - 2806. Let y = -26843\/12 - k. Let w = 67\/6 + y. Find the common denominator of w and 5\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1584258, -3168501, -4752732, -6336945, -7921134?\nAnswer: -9505293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1330 or 1329?\nAnswer: 1329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -223*t**2 + 2*t - 4*t + 2*t to the form q*t**2 + g*t + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(171) + (sqrt(171) - (sqrt(171) + -3))**2 + -2 + (-1 + sqrt(171))*-3).\nAnswer: -10 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -87*p - 13. Let n(h) = -130*h - 20. What is 5*n(o) - 8*r(o)?\nAnswer: 46*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -31 + 1 + (1186 - 1180) + -51\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86 + -83. Solve -21 = -l*x - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -37499*b**4\/6 - b**3 + 2*b**2 - 6*b. Let c be u(2). Round c to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-169)\/(-13))\/(-26)*-46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-3)*1718\/18039?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6905368*n**2 + 51406*n + 1 wrt n.\nAnswer: -13810736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/30*-2*(-3255)\/(-868)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15\/(((-3)\/(-10))\/(2\/5)) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-234 + 97 - 42)*(-1 - 2 + 5)*(p**4 - 13*p + 13*p) to o*p**4 + l*p**2 + x + k*p**3 + v*p and give o.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 12*d**2 + 19*d - 22. Let w(x) = -x + 17. Let j be w(4). List the prime factors of q(j).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 380932?\nAnswer: 2, 95233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*j - 100*j + 260 - 64 + 126.\nAnswer: -j + 322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*16754\nAnswer: -6701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**2 - 7*c - 13. Let p be q(9). Suppose -3*o = -x + 4*x - 6, 2*x + 4*o - 4 = 0. Put p, x, 3 in descending order.\nAnswer: p, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 2. Let h be d(-3). Suppose -h*j + 2*l = -15, 3*j - l + 22 = -6*l. Let w be -18*j\/(-2) + -1. Solve -c + w = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 522*k - 84*k + 18653 = 2447 for k.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 50?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 8*p. Let s(w) = -2*w + 9. Let h be s(7). Let v(u) = 8*u. Let j(t) = h*v(t) + 6*q(t). Let z(c) = 61*c**2 - 125*c**2 + 63*c**2. Determine z(j(l)).\nAnswer: -64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 644 and 20663384?\nAnswer: 20663384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4121 and -52850?\nAnswer: 56971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -582*a + 196*a + 385*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277*i - 607 = -p + 272*i, 0 = 3*p - i - 1885. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 + 16 + (304 - 309 - (0 + 15))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1212022001210 (base 3) to base 13\nAnswer: 288822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 0*k**2 - k + 5\/48*k**4 + 25\/24*k**3 + 14. Factor w(o).\nAnswer: 5*o*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 8 = 4*y. Solve 0 = -x + 3 - y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 573 and 435?\nAnswer: 83085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/4))**42*(m*m**(-1)\/m*m*m*m*m)**6)**34 assuming m is positive.\nAnswer: m**969","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**1*p*p**(-2\/5)\/p*(p*p*p*p**(1\/4))\/(p**(2\/19)*p) assuming p is positive.\nAnswer: p**(1423\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 39\/15 + -3 + 1194\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 - m - 2. Let t(f) = -715*f**2 + 325*f + 650. Calculate -1300*l(d) - 4*t(d).\nAnswer: 260*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -4, 3853, 2, 9 in increasing order.\nAnswer: -5, -4, 1, 2, 9, 3853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, r: 3, x: 3}. What is prob of picking 3 r?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4214483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -50, -55, -60?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of r**8\/6720 - r**7\/1120 + r**6\/480 - r**5\/480 - r**3\/3 - 1. Let p(d) be the third derivative of b(d). Solve p(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 6. Suppose 0 = -y*a + a. Let k = 2 - -2. Solve 2*b = -3*s, 5*s = -a*s - k*b - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -454628*d*w**2 + 23*d*w + 4952*d - 3*w**3 - 2*w - 3 wrt w.\nAnswer: -909256*d - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of -p**3\/6 - 5*p**2\/2 - 6259*p. Suppose -3*f - 2*v = -4, -4*f - 7 + 1 = -3*v. What is x(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1893 (base 12) to base 3\nAnswer: -11002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 19282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**2 + 15*a**2 - a**2 - 5*a**2 - 8*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 2*q**5 + 3*q**4 - 5*q**3 - 7*q**2 + 9*q + 1. Let t(g) = 2*g**5 + 4*g**4 - 4*g**3 - 8*g**2 + 10*g. Let z(u) = 4*d(u) - 3*t(u). Factor z(m).\nAnswer: 2*(m - 2)*(m - 1)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.141335 to three decimal places.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -78 + 85 + -73 + 117\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 7486, 30445, 68728, 122335, 191266, 275521?\n\"Answer: 7662*b**2 - 27*b - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*n**3 - 5762*n**2 + 25*n**3 + 1914*n**2 + 1922*n**2 - 47*n**3 + 1926*n**2.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 + -1. Let u = d - -23. Suppose -3*l + u = -2*l. Solve -l*w + 5 = -3*y, 4*y + 0*y + 3*w = 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of -s**5\/30 + s**2. Let d(x) = 514 + 27*x**2 - 514. Determine l(d(f)).\nAnswer: -1458*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12 + 194950?\nAnswer: 194939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t - 4. Let h be w(-4). Let x be h\/(-12) - (-2)\/6. Let j = -1 + 2. What is the closest to j in x, 4\/7, 1\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1854, -3756, -5670, -7590, -9510, -11424?\n\"Answer: y**3 - 12*y**2 - 1873*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -407*f**2 + 197*f**2 + 58 + 206*f**2 - 2*f**3 as t + x*f**3 + p*f + y*f**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6, -13, -24, -39, -58, -81, -108?\n\"Answer: -2*b**2 - b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/20)\/(9\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 8 = -2*w. Suppose 198 + 310 = w*q + 4*j, q - 244 = 3*j. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 8, -3*t + 22 = 4*l - 4*t. Let y = -4 + l. What is the units digit of 6 - (0 + 0 + y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -213 + 0.6030489768?\nAnswer: -212.3969510232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 8*n - 4*n, -5*n + 15670 = 5*d. Is d a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 22\/8 + 6\/24. Suppose -j - u + 2 = 0. Which is the nearest to 0.1?  (a) j  (b) -0.3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87199*i**5*t**2 + 5*i**5*t - 2332*i*t**2 + 5*t**2 - 15 wrt i.\nAnswer: 1743980*i**3*t**2 + 100*i**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 10 = 5*y, 3*y = 2*m + 2*y + 7. Sort 5, m, 8 in descending order.\nAnswer: 8, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*y + 15*y + 68778 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39786905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**10\/60480 - a**9\/60480 + a**5\/20 - 3*a**2. Let d(v) be the third derivative of b(v). What is l in d(l) = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 6:35 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5180449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2105?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14668, 14699, 14742, 14803, 14888?\n\"Answer: n**3 + 24*n + 14643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6813 + 6813.4. Let r = 236 + -3538\/15. Which is the third smallest value?  (a) -2\/7  (b) r  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (60\/8)\/(2\/4). Let c = 371 - 711\/2. Let s = h - c. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3362 (base 12) to base 6\nAnswer: 42202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72990521 a multiple of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Is 355183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 5*p + 24, -2*u = -p + 2*u - 8. Let i = 74 - 132. Let j = -58 - i. What is the second biggest value in -1, p, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2.6, -4\/5, 0, 47, -5, 3\/28, -5\/3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1157 + 18614 = 514*j - 2075 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -995, -1006, -1025, -1052, -1087, -1130, -1181?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16\/485 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(133)*1 - sqrt(133))*2 - ((2*sqrt(133) + sqrt(133))*4 + sqrt(133))))\/((-5*sqrt(196))\/(sqrt(28)*-4)).\nAnswer: -156*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 46*t**2 + 7*t. Let s(f) = 46*f**2 + 9*f. Determine -5*n(q) + 4*s(q).\nAnswer: -46*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*p + 33*p + 25*p + 28*p.\nAnswer: 102*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a millennium in months?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -63 + 60. Solve n + 6 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v. Let g(t) = -4678*t**3 + 2331*t**3 + 12*t + 2355*t**3. Give 2*g(w) - 24*o(w).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**2 - 10*m - 36. Let y be a(8). Solve 9*c - y*c = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((-5*2*sqrt(65))\/(sqrt(200)\/sqrt(10)))**2 - (3*sqrt(13) + 3 - (sqrt(117) + 1))).\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -1655*d. Let f(p) = 25525*p. Give f(u(v)).\nAnswer: -42243875*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 7*i = -2*i + 605, -2*i + 254 = 2*h. What is the remainder when h is divided by 3\/12*-2*-86?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p**5 - 2048*p**4\/5 - 18752*p**3\/5 - 43624*p**2\/5 + 56252*p\/5 + 8232\/5 = 0. What is p?\nAnswer: -21, -7, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164948 is divided by 53278.\nAnswer: 5114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/36*20 + (1 - -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115138, 115275, 115504, 115825, 116238, 116743, 117340?\nAnswer: 118029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c. Let y(j) be the first derivative of 0*j - 1\/3*j**3 + 0*j**2 + 21. Give y(g(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2722724 divided by -2?\nAnswer: 1361362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 243 = a, -3*a - 248 = b - 21. Let u = -111 - b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 12*d**2 - 6*d - 6. Calculate r(11).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 47. Let q be t(44). List the prime factors of 2 - ((-12 - -10) + -389*q).\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 - 0. Let i be 1 + (-3 + 1)\/(-2). Let w be 0\/i*2\/(-4). Put 5, c, w in decreasing order.\nAnswer: 5, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = m + 2*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184261, 184259, 184257, 184255, 184253?\nAnswer: 184251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 + 26. Suppose -2*h = r - 7, 0 = 2*r - 0*r + 5*h - b. Let w be 2 + (r - 3) - 14\/(-26). Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7979 is divided by 1265.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 82475767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 252 + -249. Suppose -r - 6 = 4*k - 2, 0 = x*r + k + 12. Sort r, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100444 (base 5) to base 2.\nAnswer: -110010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 224 = -56. Suppose 34 = h + 5*p, -h - 11 = 2*p - 6*p. Suppose h*n - 7*n - g = 0. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 2\/3, 8, -41, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2168*l**2 - 2455. Let p(j) = -2*j**2. Calculate s(p(x)).\nAnswer: -8672*x**4 - 2455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 8:54 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from zycyyycyzyyyyzy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.14 + 0.23. Let v = 0.1 - n. What is the biggest value in 0.1, -2, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -172  (c) -3  (d) -0.2  (e) 358.3  (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1101*k**2*l**4 + 6*k**2*l**2 - 1768523*k**2 - 640*l**4 wrt l?\nAnswer: -26424*k**2*l - 15360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6452590 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: Convert 3636 (base 8) to base 4.\nAnswer: 132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {f: 2, c: 1, m: 1, x: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27 + 5 + 11 - u)*(0 + 1 + 5)*(-12*u - 12*u + 9*u)*(-2*u + 2*u + 2*u**2).\nAnswer: 180*u**4 - 7740*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(((f*f**5*f)\/f)\/f)*f*f**(4\/3)*f)\/(f**(-1)\/f)**21)\/(f**(-1)\/f*f\/(f\/f**(-5)))**(2\/159) assuming f is positive.\nAnswer: f**(6586\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 62*g + 784. Calculate l(-49).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(95)*-3 + (sqrt(95) - (3*-1*sqrt(95) - sqrt(95))))\/((sqrt(180)*2*4 + sqrt(180))*5).\nAnswer: 7*sqrt(19)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-34)\/72 + (-24)\/(-108). What is the nearest to u in 2\/13, -5, 1\/5, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i - 17. Calculate f(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 - 35. Find the common denominator of (-92)\/16*-2*g\/(-21) and ((-29)\/(-15))\/((-24)\/(-30)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3193 a factor of 1574975987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -16. Suppose w = -4*m + 2*m. Let t = m - -4. Which is the nearest to 1?  (a) t  (b) 0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31997 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(85) + sqrt(85) + 1*sqrt(85))*-2)\/(sqrt(55)\/(sqrt(44) - sqrt(11))))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (18 - (5 - (-2 + -20 + 20)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose -79809 - 142820 = 11*j. Let x = 35498 + j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227402?\nAnswer: 2, 7, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66, -73, -78, -81, -82, -81?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 141 and 44619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*c**2 + 20*c**2 - 2*c**2 - 5*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3494487?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c - 10. Let w be h(20). Let g = w - -38. Solve -g = -4*z + 5*d, 3*z - 4 = z - 4*d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76774533 by -6.\nAnswer: -25591511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 0.4  (c) 31  (d) 0.1  (e) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17404.\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29985*z**2 + 206152*z**2 + 89157*z**2 + 38115*z**2.\nAnswer: 303439*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r. Let g(v) = 6*v + 7. Let t(y) = -g(y) - 2*l(y). What is the units digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 228113178 to the nearest integer?\nAnswer: 15103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2789, 5557, 8301, 11009, 13669, 16269, 18797?\nAnswer: 21241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 428690 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5041)\/(-123) - 1086\/(-66789).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -254762*i = -254773*i - 176 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 12:25 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (((-90)\/75)\/(52\/390))\/((-6)\/(-30))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 36*l - 874. Let c be v(-17). Calculate the greatest common factor of 96 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -505686 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 40244577.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168 = 7*q + 35. Let g = q + 31. Find the second derivative of -12*z**2 - 7*z - g*z - 7*z wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 5*m + 8484 = 5*q, -q + 5*m + 1716 = 0. Does 30 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Suppose -32 = -4*k - 4*f, 0 = -k + 3*k - w*f. Suppose -t + 4 = t. Calculate the greatest common divisor of t and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 78b?\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/11))**(-36)*(g*g**(-3\/8))\/(g*(g*g\/((g**(-8\/5)*g*g*g)\/g)*g)\/g) assuming g is positive.\nAnswer: g**(-2309\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.2444 * -0.1\nAnswer: 0.02444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/6251?\nAnswer: 2\/6251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2 - 2 + 5 + 5*t + 1. Let p(s) = 6*s + 3. Let u(l) = -5*i(l) + 4*p(l). Determine u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5789.499ml in litres?\nAnswer: 5.789499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2076 - -6283\/3. Calculate the common denominator of c and 7\/65.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 335 - 31 = 4*m + q, -4*m + 4*q = -324. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the first derivative of o**6\/3 - 17*o**5\/5 + 7*o**3 - 148. Find the third derivative of m(l) wrt l.\nAnswer: 120*l**2 - 408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3328 - 15352 = 501*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**3 + s**4 - s**3 - 3*s**3 + (-4 + 2 - 6)*(-5*s**4 - 14*s**3 + 14*s**3) + s - 2*s**4 - s.\nAnswer: 39*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15\/79 or 2\/5?\nAnswer: -15\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 7*u**2 - 6*u - 3. Let j(v) = 15*v**2 - 17*v - 14. Let l(y) = y**2 + 1. Let m(k) = -j(k) - 5*l(k). Determine 6*m(r) + 17*q(r).\nAnswer: -r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -9*f + 31. Let o be c(3). Suppose -d + 17 - o = 0. Suppose w = -d + 23. What is the least common multiple of w and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 5 + -4 + -37 + 0. Let w = i - -48. Suppose -2*j = 81 - 303. What is the remainder when j is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*h + 2*m + 486, -4*h - 3*m + 398 = 0. Calculate the common denominator of 622\/(-220) + 4\/(-10) and (3\/(-18))\/((-4)\/h).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c47 (base 13) in base 16?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.00841 minus -9.5458084?\nAnswer: 8.5373984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 8\/3 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3528827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 4*l**3 - 52*l**2 + 192*l - 144 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 12192425?\nAnswer: 97539400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16356.8091 - 16367.4. Let h = -10.6 - m. What is h rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (2 - (1 - 11))\/(6\/183)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - 3 + 3 - 2 + 1 + (-3 - 1 + 2)*(-3 + 4 + 0) + 1 - 25 - 1)*(-5*c**5 + 3*c**5 + 4*c**5).\nAnswer: -58*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -193\/1170 and -163\/7020.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 155.8768 centuries in millennia?\nAnswer: 15.58768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**3 + 30*r**2 + 2*r - 30 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137678 divided by -943.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o. Suppose -4*r + f - 4 = -18, f - 2 = 0. Let z be c(r). Suppose 0 = 3*j - g - 8 - z, 0 = -5*j - 5*g + 60. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -a - a + 358, -3*j - 3*a = -1074. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of x**5\/20 + x**4\/12 + x**3\/6 + 4*x**2 + 6*x. Let t be z(0). Let h = t + -3. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*o**4 + 3*o - 82 + 76*o**2 - 84*o**2 - 28*o**3 + 30*o**3 to the form s*o**3 + v*o**4 + y*o**2 + d*o + i and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -5*m**4 + 3*m**3 + 6*m**2 + 3. Let p(d) = 10*d**4 - 5*d**3 - 11*d**2 - 5. Let x(j) = 5*c(j) + 3*p(j). What is the third derivative of x(u) wrt u?\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q + 2*q**4 + q**2 + 4 - q**3 - 4*q + 4*q + 4*q**2 as n*q + m*q**4 + a + g*q**3 + o*q**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*b - 8, 4*b - 2*b + 6 = -4*j. Let z be (b\/2*2 - -1)\/(-2). Let c be (-1)\/(2\/(-8)*2) - 9. Sort 2, z, c, 4.\nAnswer: c, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68536 divided by -5272?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 5:13 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212799.\nAnswer: 3, 89, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlx when three letters picked without replacement from {x: 9, l: 5}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {s: 1, n: 1, r: 1, w: 1, e: 2, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(2\/9)\/(w*w**(1\/15)*w))\/(w*w**3)**30)**(1\/17) assuming w is positive.\nAnswer: w**(-5483\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -10244 (base 6) in base 13?\nAnswer: -835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3)\/(4\/((-448)\/12)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 344315*c - 23749*c + 6.\nAnswer: -368064*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1221021 + -11?\nAnswer: -1221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-3 + (3 - -1)). Suppose 0 = -4*y - p + 25 - 6, -2*y = -3*p + z. Solve -3*l - 5*u + 16 = 51, -y*u = 3*l + 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of -f**5\/60 - f**3\/6 + f**2. Suppose 76*g - 59*g = -34. Give w(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 330\/(-275)*1\/(-18).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 241 + -150. Let h = l - 89. Let t = -157 - -1411\/9. What is the closest to h in t, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102292984 and 6704?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w**3 + 26*w + 332. Let x(a) = -a**3 - 10*a - 110. What is -3*c(k) - 8*x(k)?\nAnswer: -k**3 + 2*k - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007855121203 rounded to six dps?\nAnswer: 0.000786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (15\/10)\/(6\/16). Let q(t) = t**2 - 4*t - 95. Let p be q(12). Solve 0 = -f - w - p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t + 146*t**2 + 235*t**2 - 9*t + 9*t.\nAnswer: 381*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 + (1 - 3))*1. Let g be 1 + -1 - z\/4. Let f = -2 + 2.1. Is g greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 2*f - 258. Let r(n) = -2*n**2. Determine r(p(z)).\nAnswer: -8*z**2 + 2064*z - 133128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - -1*(sqrt(11) + 0) - (sqrt(539) - (sqrt(539) - (sqrt(539) + 1))) - (3 + sqrt(110)\/sqrt(10)*4 + 1))**2 + -1.\nAnswer: 90*sqrt(11) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 10:01 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 233.601 times 257\nAnswer: 60035.457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, -279, 5 in decreasing order.\nAnswer: 5, 1, -6, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1511993 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: Calculate -58 - (48 + -93 - -9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -324.513448 * 2\nAnswer: -649.026896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 + -30. Calculate the smallest common multiple of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2a58 - -9982?\nAnswer: 6b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4100 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289898.\nAnswer: 2, 7, 20707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2 - 1627*t - 3250.\nAnswer: -(t + 2)*(t + 1625)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3*q**3 - 2*q**2 - 2. Let x be t(-3). What are the prime factors of x\/5 + (-2)\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/((-72)\/(-32))*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 39*t**2 + 4*t + 5. Let z be s(-3). Suppose 0 = 3*h - d - 326, 5*h + 5*d - z = 226. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 165 - -2c?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j - 43*q + 41*q - 8, -3*q = -3*j + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 627 - 628. Which is smaller: b or 10\/89?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 67263, 67409, 67555, 67701, 67847, 67993?\n\"Answer: 146*d + 67117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-1) + (59 - -2). Suppose d + 3*p - 76 = 0, 0 = 2*d + 4*p - c - 81. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/813809 and 97\/6904?\nAnswer: 6510472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 567486065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 5 + 1)*(-5 + 5 + 3)*(1 - 1 - 1)*(-4*h**2 + 5*h**2 + h**2) in the form t*h + n*h**2 + d and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1097.019 + -1097. Which is the second biggest value?  (a) 0.3  (b) p  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 5*i - 242, -85*i + 86*i = 2. Which is greater: n or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 5*l**3\/3 + 3*l**2\/2 - 613. Let m(t) = -26*t**2 - 16*t. Calculate -16*f(v) - 3*m(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 1) + 10 - 0. Suppose 0*k - n = -3*k. Suppose 2*u + k*w - 62 = 0, 93 = 3*u + 3*w + w. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 3 - 1 - 8 = 0, -3*o = 24*v - 44 - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1066692 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-2)*(-25)\/25)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + -3 - (-3 + -3). Suppose -w*k + 145 = -u, -177 = 4*u - 3*u + 3*k. Let y be (-1)\/(1 + 168\/u). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 418121573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 0 - (-18 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -978 (base 15) to base 12\nAnswer: -12a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbl when four letters picked without replacement from {l: 1, b: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -17. Which is the fourth smallest value?  (a) -4  (b) t  (c) -0.1  (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -0.1, -1\/4, 1\/7, 2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 PM and 4:17 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 - -2450143?\nAnswer: 2450141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -2064, -613 in increasing order.\nAnswer: -2064, -613, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 9 = -6*c. Suppose -c*b - 18 + 3 = 0. Are b and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 332*r + 22. Suppose 0 = -2*q + t - 0 + 15, -3*q + 5*t = -19. Let a = 14 - q. Calculate the remainder when b(0) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (1 + sqrt(1053) - sqrt(1053)) - (sqrt(1053)*-1*6 - sqrt(1053)))**2 + 5*(-5 + (-3*sqrt(1053))**2).\nAnswer: -252*sqrt(13) + 98961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 13364472 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2 + 1107872*x - 76711273024.\nAnswer: -4*(x - 138484)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -906*u**4 - 6394*u**3 - 13048*u**2 - 7976*u - 416 = 0.\nAnswer: -4, -2, -1, -26\/453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0839 rounded to 3 decimal places?\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-3))\/((-172)\/1419)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 12:35 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*1*-3 - sqrt(2057)) + 2*sqrt(51)\/sqrt(3) + 1.\nAnswer: -42*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 - 11. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 374, 395, 436, 503, 602?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/10)\/(6\/(-15)). Solve -2*g + d + b = 5, -2*d + 8 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(4\/(-8))*1. Solve 0 = -r*a - 0*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*l + 10821 + 379407. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-51 + 0)\/(-2 - 9). Let c = o - -525\/22. Calculate the common denominator of 69\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 260, 517, 764, 995, 1204, 1385?\nAnswer: 1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 45255*q**3 + 16*q**2 - 16*q - 56975. Let t(x) = 25863*x**3 + 9*x**2 - 9*x - 32557. Let h(v) = 9*c(v) - 16*t(v). What is the derivative of h(m) wrt m?\nAnswer: -19539*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*z + 6 = 112 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30716 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 4*q - 5*x = 8, 2*q = 4*x + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 - 2. What is the least common multiple of p and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 0)*(-8)\/(-12). Let r be -2 - 0 - (-62)\/m. Suppose 4*z - 2*v + v = 25, 5*z = 2*v + r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = d - 6833, 2*d + 3123 = 4*n - 6011. Calculate the highest common divisor of n and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2.132  (b) 0.8  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 189.65\nAnswer: -568.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 181*v**2 - 181*v**2 + 10*v**3 + v + 1 to n*v**2 + h*v**3 + g + t*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3*n - 37*n**2 - 8 + 39 - 18*n + 36*n**2. Is c(-13) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 60 - 56. Suppose -4*q - 3*h + 0*h + 11 = 0, -s*h = -q - 2. Solve 3*a**3 + 5*a**4 + 4*a**3 + 4*a**2 + 6*a**q + 8*a**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(10\/13))\/n**(3\/32))\/((n\/(n*n**(-4)))\/(n\/(n*(n*(n\/n**(-2\/11))\/n)\/n))) assuming n is positive.\nAnswer: n**(-11469\/4576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of -m**4\/8 - m**2. Let f be z(-2). Let k(h) = -h**2 + 22*h - 102. Let n be k(15). Solve n*r - f = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1084 - -1086. Solve 4*t + z = b*t - 7, 11 = -4*t + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 12*j - 29. Let s be h(5). Let n(l) = -l**3 + 3*l**2 - 3*l + 3. Let k(g) = -10*g**3 + 34*g**2 - 34*g + 34. Determine s*k(y) - 68*n(y).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 17.2, 2.8, 2?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -5*c**3 + 6*c**2 - 6*c. Suppose 143 = 10*z + 13. Let t(g) = -10*g**3 + 13*g**2 - 13*g. Calculate z*b(u) - 6*t(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d*m*n**4 - 16*d*n**4 + d*n**2 + d - 3*m*n**4 + 5*m*n**2 - 6*m wrt n.\nAnswer: -24*d*m*n - 384*d*n - 72*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1124800 = -2*w + 3*s - 12806251, w + 6965538 = 4*s. Let k = -4665518 - w. What is k rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 AM and 7:55 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*r + 2*r**2 - 8*r)*(-2*r + 3*r - 2*r) + 17*r**3 - r**3 - 6*r**3 in the form j*r**2 + h*r + g + n*r**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of m**6\/120 - m**5\/10 + m**4\/6 - 5*m**3\/6 - 20*m**2. Let c be g(3). Let i = c + 24. Let f(t) = -t + 2. Give f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 524708 and 2162?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o - 4*x = -6, -4 = -4*x. Let g be 4 + o\/(3\/(-6)). Suppose -10 = -g*r + r. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -29, 5, -96, -5 in descending order.\nAnswer: 5, 0, -5, -29, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2353?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + 31100?\nAnswer: 31031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47.058 + 0.058. Let n = -1157779.37200268 - -1157732.372. Let f = n - x. What is f rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 2*c**2 - 2. Let i be z(-3). Suppose -i*t = -4*t. Let q be (80\/200)\/((-152)\/10). Is t < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (359 - 377) + -2 + (-5 - 5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in nine tenths of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 4*p + 1, -400*p = -397*p - 3*m - 36 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 4. Let n(p) = 2*p**2 + 4*p + 4. Let j be n(q). Suppose o = 6*o + j. Sort o, -2, 3 in increasing order.\nAnswer: o, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o - 9. Let a be p(-6). Find the common denominator of 9\/2 and (17\/(-34))\/(-3*a\/149).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 6*t + 4. Let o(x) = 13*x - 2. Let u(a) = 12*a - 1. Let m(n) = t*u(n) - 5*o(n). What is the derivative of m(i) wrt i?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of g**5\/15 - 10*g**4\/3 + 77*g**3\/9 - 19*g**2\/3 - 3775. Factor p(y).\nAnswer: y*(y - 38)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 282219 divided by -10\nAnswer: -282219\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-10)\/((-10)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1655436 is divided by 173.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 3*g = 4*g - 6, -4*k - 4*g = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -1594?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 2*y + 2*y - 32*y**2 + 13*y**2 - 38 - y**3 + 14*y. Let k be u(-20). Find the second derivative of -n + 582*n**2 - 15*n**5 - 582*n**k wrt n.\nAnswer: -300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1201 (base 3) to base 15\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1915410 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 7. Suppose g*i = i + 3. Is (2\/4)\/(i\/(-132)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 bigger than 2116\/1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - y**2 - 2*y + 5. Determine k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 10043.\nAnswer: 40172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 - -11.5. Let y = -6 - -8. What is the closest to y in -1\/3, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3020 + -276. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1231 + 5d?\nAnswer: -11b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -6*s + 8*s**2 - 3*s - 4 - 12 + 31. Let g be p(-9). Suppose -258 = 9*z - g. Calculate the remainder when z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 214 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/48 and -5\/156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 + 56 - 14 + 26 - 3*n + 0*n to the form t*n + i and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -58992, 1, 45, 0 in decreasing order.\nAnswer: 45, 1, 0, -1, -4, -58992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64023 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 756 + -432. What is the remainder when c is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(5\/45)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x - 12*x + 10 = -2*l, 0 = -2*l - 2*x - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 995 is divided by 483.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-3) - 6\/(-9). Let s be 2\/(-4*u\/(-6)). Solve -k - s*p = -6*k, -3*k - 3*p = 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*f = -5*o + 180, -5*o + 184 = 4*f. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/6 + (-4)\/(-6). Let g be i + 4\/(-1) + 0. What is the remainder when ((-885)\/(-10))\/((-6)\/g) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 134500?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -288, 7, -3\/2, -0.014, -0.39?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 2 - 10. Let f(w) = -p*w + w + 2*w + 17. What is the units digit of f(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -32*l - 28. Is u(-9) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22\/(-55)*(-5)\/2)\/((-20)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**2 - 4*m + 3. Let c be ((-3)\/(-5))\/((-3)\/(-15)). Let k be c*5\/(45\/24). Suppose k = -16*s + 20*s. Give q(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 2*x = -18, 5*j - 4*x - 8411 = -8361 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 1 - (-1 + 1) - (22 - 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 2*m**2 + 47*m + 298. Calculate the lowest common multiple of l(-6) and 448.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 5, -2, -41\/28?\nAnswer: -41\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -26393, -2, -13 in decreasing order.\nAnswer: -2, -3, -13, -26393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -w**8\/20160 + w**7\/360 + w**6\/60 - w**5\/10 + 2*w**2. Let a(t) be the third derivative of p(t). Is 6 a factor of a(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 15 = 4*s. Let w be ((-4)\/s)\/((-42)\/15). Which is the nearest to 0?  (a) -5  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9606 - -9609. Solve 2*n = -5*x - 9 + 4, 20 = -a*n + 5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 116*(638166\/4234)\/(-141)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - r - 2)*(0*r**2 - 4*r**2 + 6*r**2) + (-26*r + 11*r + 13*r)*(-2*r**2 - 5*r**2 + 3*r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*h + 3140 = 0, 3*p - 3*h - 1233 = p. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 22. Suppose d*z + 5600000 = 6*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 95, 87, 81, 83, 99, 135, 197, 291?\n\"Answer: t**3 - 5*t**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 95522 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -4) + 30 - (-80 + 74 + 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8 - -2 - -4)*1. Let w be (4\/(-6))\/(f + (-34)\/(-18)). Suppose -w*m**3 - 5*m**3 + 3*m**3 + m**4 + 4*m**2 + 3*m**4 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooqzozzlozzooozz. What is prob of sequence qool?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11179.9 - 368.\nAnswer: 10811.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(80))**2 + sqrt(25)\/(sqrt(15)\/sqrt(3) + sqrt(5)).\nAnswer: 81*sqrt(5)\/2 + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -2*s + 9. Suppose 0 = -5*h - s, -4*o + 5*h + 17 = -3*o. Solve 0*f - 4*n - 14 = -3*f, 4*f - o*n = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5 + 3 + 1710\/4)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3003123200 (base 4) in base 12?\nAnswer: -3272a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of c**5\/120 + c**4\/8 - c**3\/3 - 3. Let d(s) be the third derivative of u(s). What is the tens digit of d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v**3 + 2*v**3 + 2*v**3 - 2399*v**2.\nAnswer: 10*v**3 - 2399*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3190 greater than 3191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 120 and 5496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 9826, 9828, 9830, 9832?\n\"Answer: 2*c + 9824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -47033870 to the nearest one million.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125411051.\nAnswer: 29, 4324519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 334\/3  (b) -4  (c) -3  (d) 13\/19  (e) -2  (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 119 + -594\/5. Factor -2\/5*g**3 - r*g**2 + 1\/5*g**4 + 2\/5*g + 0.\nAnswer: g*(g - 2)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75719*l = 75610*l - 327 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -92, -88, -84, -80, -76?\n\"Answer: 4*k - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1264704718.0000047 + -1264704629. Let l = -299 + 210. Let u = l + m. What is u rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fctznnw. What is prob of sequence zn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-216)\/16)\/(-9))\/(2*18\/(-240))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 602, 950, 1298, 1646, 1994, 2342?\n\"Answer: 348*y + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-364)\/(-1911))\/(4 + -6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -741 by 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 0 + y**2 + 0. Suppose 0 = -4*c - 7*c + 66. Let d(s) = 8 + 6 - 14 + c*s. Give m(d(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -2301.2699 to the nearest ten.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*o = 3556, 3*y + 15*o - 19*o - 10620 = 0. List the prime factors of y.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2\/9 - 1168*t\/9 - 63400\/9.\nAnswer: 2*(t - 634)*(t + 50)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2689758947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k = 4*l - 38, 8 = 4*l - 9151390*k + 9151386*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 5*r**5 + 1755*r**4 + 204275*r**3 + 8455365*r**2 + 58280600*r + 110466000 = 0.\nAnswer: -153, -95, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 18 = 2*t + 2*t, 3*t - 24 = -5*l. Suppose 4*x - 21 = z + 8*x, -t*z - 19 = x. Let c be ((-6)\/(-10))\/((-1)\/z). Solve 0 + 9 = -c*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 111060, 111064, 111070, 111078, 111088?\n\"Answer: u**2 + u + 111058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6532835 divided by -1306567?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 525*m + 85 = -1040*m + 519*m, 3*m - 45 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 588\/(-330) + 1 - (-3)\/(-66)*-4\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11572 and 3586?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 170, 212, 252, 290?\n\"Answer: -m**2 + 45*m + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/43?  (a) -11  (b) 0.5  (c) 3\/2  (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**3)\/h)\/h**(-6)*h*h**(-11)*h\/h**(-1\/20))**(8\/7) assuming h is positive.\nAnswer: h**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 4, -3, 22, -1125, 5 in increasing order.\nAnswer: -1125, -3, 4, 5, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 364 - 156. Let k = t + -207.9871. Round k to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + 29 - (-10 + 4). Let n(c) = c**2 + 5*c + 6. Suppose 8 = -4*f - 16. Let y be n(f). Calculate the greatest common divisor of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 142*n + 136. Calculate the remainder when l(5) is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 81\/221 + -6527\/17901. Let f = p + 25234\/20007. Find the common denominator of -4\/7 and f.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f + 5*f - 9*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u*u\/(u*u**1*u)))*u)\/((u\/(u**(1\/3)*u))\/u))**(1\/23) assuming u is positive.\nAnswer: u**(4\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 7:35 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4053644201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -10 and 5\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 5*w**5 - 245*w**4 + 1025*w**3 + 46905*w**2 + 225270*w + 302400 = 0.\nAnswer: -7, -3, 30, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -107, -109, -111, -113, -115?\n\"Answer: -2*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 1414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 at least 4083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -1. Let p(d) = 2*d**2 + 2. Suppose -3*j = -3*b + 18, j - 3*j = -5*b + 27. Let s(r) = j*p(r) - 2*h(r). Let y(f) = 2*f + 0*f - 3*f. Calculate y(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.2 + 3. Let z = 5348794.5 + -5348794. Let p = 0.5 + -0.3. Which is the nearest to w?  (a) p  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -7*k**2\/2 - 35. Let y be -1 - -2*(-9)\/(-6). Let v(m) = 2*m**y + 3*m + m - 4*m. Determine p(v(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108765623?\nAnswer: 61, 1783043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -5. Let r be (h\/(-15))\/(4\/(-10)). Let o = -0.3 - -0.7. What is the smallest value in 5, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, 25, 1170, 1, 5 in descending order.\nAnswer: 1170, 25, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -939.99 + 938. Let l = u - -0.98. What is the smallest value in 2\/9, l, 3\/4, -4\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -8*l + 60 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvxnvnrrrxrvf. What is prob of sequence nrrv?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -68 + 64. Let x(b) = -6*b**3 - 4. Let z(t) = -1. Determine k*z(s) + x(s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**2 - h**3 - 2*h**2 + (-1 + 2*h + 1)*(-3*h + 7*h**2 + 3*h).\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2236 (base 9) in base 10?\nAnswer: -1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 88.288 - 1.288. Which is the third biggest value?  (a) r  (b) 2\/15  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -331 (base 6) to base 12\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/(-21) + (-20)\/(-3). Let l(r) be the second derivative of -1\/70*r**5 + 0*r**3 + 2\/105*r**p + 2*r - 1\/42*r**4 + 0*r**2 + 0. Factor l(d).\nAnswer: 2*d**2*(d - 1)*(2*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1*(0 + (2 - 1)). Is 2\/f*683\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 + 7*w - 7. Let k be v(5). Factor 8 + 36*o**k - 11*o**3 - 4*o**2 - 13*o**3 - 4*o**4 - 12*o + 0*o**4.\nAnswer: -4*(o - 2)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**3 + 0*b**3 + b**3)*(0*b - 2*b**2 + 0*b) + (-3 + 3 + b**2)*(268*b**3 - 238*b**3 - 398*b**3).\nAnswer: -366*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 - 28. Let c = l - -67. Calculate the smallest common multiple of c and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/1 - (-2 + 3). Calculate the common denominator of -37\/9 and 1 + 40\/(-18) - m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 96\/(-112) - (-942)\/21. Calculate the greatest common divisor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 131574 - -61376. Round u to the nearest one thousand.\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 118*j - 11314. Give o(96).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 79*k**2 - 610*k.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*p**2 - 641 - 2*p + 845 + 3*p**2 to the form d + m*p + i*p**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + z**4 + 4*z)*(26*z - 29*z + 15*z) - 3*z**5 + 5*z**5 - 4*z**5.\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 + 10.8. What is the nearest to 2 in -3, h, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4469394.\nAnswer: 2, 3, 31, 24029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x + 126. Let c be m(-61). Solve -17*r + 133 - c = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -14*g + 75. Let u(d) = 12*d**2 - 10*d. What is the hundreds digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 492 - 296. Let o = a + -195.6. Let g = 0.9 - -0.1. What is the second biggest value in o, g, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 4*f - 6. Let g be u(5). Let v(d) = -d**3 + 2*d**2 - 2*d - 3. Let j be v(g). Calculate the highest common divisor of j and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -54 - 27\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y + 6. Let f(s) = -s - 1. Give -b(c) - 3*f(c).\nAnswer: 4*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 18 = 4*n - c, 4 = -2*n + 2*c. Suppose -4 = -u + 2*u. What are the prime factors of 7\/u*2*n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b + 1. Let n be g(-2). Let p be 75\/(-27) + n + 4. What is the third smallest value in p, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3120 divided by -1040.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 11) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4012329?\nAnswer: 3, 1337443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*-4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 5*x**2 - x + 14. Determine n(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 - (-4 + 0\/5). Suppose -b - 3*t - k = 0, 3*b + 0*b - 29 = t. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from {s: 1, a: 1, z: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 105289\nAnswer: 13\/105289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 + 35. Suppose -4*s = -q - 49, q - 59 = -k*s + 4*q. Calculate the highest common factor of 88 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 3 - 6)*(-4*c**2 + 4*c**2 - c**2) + 2*c**2 - 1 + 1)*(-c - 5*c + 3*c).\nAnswer: -18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**2 + 6*f - 20. Suppose 3*c - 21 - 12 = -d, 5*c + 4*d - 69 = 0. Determine x(c).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.77884 millennia to years.\nAnswer: 80778.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -12*s - 19. Calculate q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 + 20 = 7*b. Let s be 6\/(-3) - (1 - (1 + 7)). Suppose 8*c + 3*d = 3*c + 70, -c + s*d = -42. Calculate the remainder when c is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 15 = 4*h, 30 = 5*u - 5*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rjrjrpjrjpr. Give prob of sequence pppr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8376 - 8371.993. Let i = k - 0.007. Which is the nearest to 6?  (a) -0.3  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x. Let n(b) = 16610720*b. Determine f(n(z)).\nAnswer: -16610720*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 4*o = 8 - 26, -33 = -3*m + 5*o. Is (-100)\/m*3\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -29*p. Let f(h) = h**2. Let w(a) = a**2. Suppose -123 = 28*r + 73. Let k(d) = r*w(d) + 5*f(d). Determine k(x(b)).\nAnswer: -1682*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1208 + 1208.3. Which is the closest to r?  (a) -19\/7  (b) 1\/2  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**5 - 6 + 4 - 9 - 5*o**5 + 2*o**5 + 4*o**5 + (3*o - o + 0*o)*(0*o**4 - 2*o**4 + 0*o**4).\nAnswer: -4*o**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**3 - 3918*y**2\/5 - 828*y\/5 + 17248\/5 = 0?\nAnswer: -11\/5, 2, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*g = 36*g - k + 133, 5*g - 5*k = 160. What is the smallest common multiple of 24 and g?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 19 - 140 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -162687, -315234, -467781?\nAnswer: -620328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h + 8*h - 125. Suppose 6 = -s + h. Suppose -2*q + q = 5, 0 = x - 3*q - s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 147, 293, 437, 579?\n\"Answer: -m**2 + 149*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/4)*k)**(-30)\/((k*k**(-3\/4))\/(k*k\/k**6))*(k**(2\/3))**(-2\/15)*k**(-8)\/(k*k**(-2\/17)*k) assuming k is positive.\nAnswer: k**(-158267\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -784.4 - -789.4. What is the nearest to 1.1 in 2\/7, -2\/107, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 3*w**3 + 19*w**2 - 9*w + 4. Let r(o) = 2*o**3 + 13*o**2 - 6*o + 3. Let c(y) = 5*d(y) - 7*r(y). Determine c(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2226 = -4*q, 3*q = 3*a + 2472 + 4188. Let c = -13343\/6 - a. What is the common denominator of c and (-62)\/24 - (0 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8410.992226 + 8411. What is w rounded to 4 dps?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, f: 4, q: 3, r: 1}. Give prob of sequence qrt.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 89740 divided by -7?\nAnswer: -12820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22196196515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 15.5458 and 12.26.\nAnswer: 27.8058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 66*d**3*w - 7835*d**3 - 2*d*w - 3*w**2 wrt w?\nAnswer: 66*d**3 - 2*d - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -55 + 167\/3. Let q = 1114 + -3343\/3. Which is the closest to i?  (a) q  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-74019)\/(-33390) + (-4)\/8. Let r = -2\/795 + a. Suppose 2\/7*d**2 + 18\/7 - r*d = 0. What is d?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -3*u**2 + 2*u + 10. Give f(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuluuuuuuuluululuu. What is prob of sequence llul?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 10*o**2 + 116*o - 49. Let a be r(-12). Which is smaller: -0.445 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 16*y - 21. Let g be r(18). What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 0.4, -105, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 4*c**5 - 65740*c**4 + 657132*c**3 - 2168244*c**2 + 2365200*c = 0.\nAnswer: 0, 3, 4, 16425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-92)\/(-138)*(33\/(-16))\/11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -9*p**2\/2 + 62*p - 24. Let a be y(7). Which is bigger: 1\/33 or a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w\/(w\/((w**(-1)\/w)\/w)))\/w)\/w)**(-12))**31 assuming w is positive.\nAnswer: w**1860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 91\/3, -59, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 4*l - 24 = 0, 3*l - 18 = -12*g + 21*g - 11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by -1 - 56\/(-10)*(7 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 4*d**2 - 4*d + 7. Let s be r(-5). What is the remainder when (s\/3)\/(20\/1830) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 175*g**2 + 4451 - 3*g + 4160 - 8611 + 3*g.\nAnswer: 175*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, 9, 145\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -70, -96, -132, -184, -258?\n\"Answer: -c**3 + c**2 - 22*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f**2 - f. Let m be s(-2). Let c = -7 + -11. Let j = c - m. Solve -3*q + 6 = -2*o, -j*o - 13 = -5*q - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1573) + (sqrt(1573) + 2 + sqrt(1573))**2 + 5 + sqrt(1573).\nAnswer: 110*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1275 + 2499\/2. Suppose 3*n = 10447 - 28846. Let y = -36917\/6 - n. Find the common denominator of r and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27417.\nAnswer: 3, 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -82*u - 75*u - 21 + 162*u. Calculate the common denominator of m(5) and 61\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by -2848473?\nAnswer: -28\/2848473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**3 - 22556*w**2 + 10956780*w - 1394300628 = 0. What is w?\nAnswer: 261, 5117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**2 - 10*q. Let g(x) = -x**2 - 3*x. Give 14*g(d) - 4*m(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 8*n**3 + 113*n**2 + 265*n - 36. Give u(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-210)*(-95)\/12. Let r = -3\/28 + w. Put -1\/7, r, -4 in descending order.\nAnswer: -1\/7, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvshhviiiei. What is prob of picking 1 e and 2 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003286407 to 7 decimal places.\nAnswer: 0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 3*t**8\/7 - 2*t**6\/15 - 37*t**5\/20 - 2*t**3\/3 - 2602*t**2. Find the third derivative of p(w) wrt w.\nAnswer: 8640*w**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7745580.\nAnswer: 2, 3, 5, 37, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 130807, 130799, 130791, 130783, 130775?\n\"Answer: -8*q + 130815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 + (-4 - (39 + (-17 - 1)))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*6*2*sqrt(102))\/((-1*(sqrt(12) + sqrt(12) + sqrt(36)\/sqrt(3)))\/(sqrt(16)\/(sqrt(16)\/sqrt(2)))).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 2*k**2 + k)*(7 + 124*k**2 - 65*k**2 - 61*k**2 + 32*k) - k**4 + 0*k**4 + 3*k**4.\nAnswer: 6*k**4 - 64*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from zokkkkokzpkzo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 12:09 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - -3 - (31 - 40)) + 0 + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 49751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000839379 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5*i + 3)*(-137 + 11 - 10).\nAnswer: -680*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2*r - 62 = 0, r = c - 0*r + 21. Let n be 8\/c - (-54)\/10. What is the highest common factor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144 = -7*p - 179 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3aa (base 16) in base 13?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeekkee. Give prob of picking 2 e.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*y**3 + 9*y**3 - 8 + 28*y**3 - 26.\nAnswer: y**3 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 497, 1697, 3701, 6515, 10145, 14597, 19877?\n\"Answer: b**3 + 396*b**2 + 5*b + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0)**(20\/9) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -5*j + 28. Let t be a(14). Let x = t + -66. Let p = 518\/5 + x. Are -3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert be (base 16) to base 13.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2. Let m(r) = 375*r**2 + 4*r + 4. Let s(f) = 9372*f**2 + 99*f + 99. Let i(g) = -99*m(g) + 4*s(g). Give o(i(z)).\nAnswer: 131769*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 + 9*v**2 + 11*v - 4. Suppose 4*l - 334 - 301 = 3*o, -2*l + 315 = -o. What is the remainder when l is divided by y(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -252*q**2 - 27*q**2 - 310*q**2 - 287*q**2 as r + y*q + s*q**2 and give s.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/10)\/(381\/5715)*3\/(9\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b - 4*b = -5*m + 24, -2*m - 8 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -820 - -9644. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -14*p. Let f(y) = 15*y. What is v(f(h))?\nAnswer: -210*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111002 (base 5) to base 15.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/85180 and -56\/2325?\nAnswer: 39608700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 342 - 178 - 164 - 11*r. Let h(t) = 5*t. Give -3*d(b) - 7*h(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -59*o. Let m(z) be the first derivative of z**5\/60 - 2*z**3\/3 - 2*z + 82. Let u(p) be the third derivative of m(p). Determine q(u(l)).\nAnswer: -118*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.76755082 rounded to 3 decimal places?\nAnswer: -0.768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -104 times -0.7501\nAnswer: 78.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -181, 8, 485 in increasing order.\nAnswer: -181, 8, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -11 + 4 - 8 - ((-40 - -25) + 26)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8.347  (b) 0.2  (c) -3  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-6\/7))**(12\/7)\/(b**(-1\/13)\/(b\/(b\/(b**3\/b)*b*b))) assuming b is positive.\nAnswer: b**(205\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -163*u - 9609. Give a(-59).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -4 + 4*w + 0 - 2*w. Let c(m) = -3*m + 7. Let k = 12 + -18. What is k*c(b) - 10*x(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539) + 1)**2 + sqrt(1100)*-2 - sqrt(132)\/(sqrt(12)*3)*5.\nAnswer: -23*sqrt(11)\/3 + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 7840319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 191*r + 33418. Give a(-175).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 6*s**2 + 2. Suppose -6*c + c = 30. Let p be d(c). Solve -i = p*z + 2*i + 8, z + 5*i = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 1. Let p(w) = -3*w**2 + 2*w + 1. Let f(s) = -2*j(s) - p(s). Suppose 0 = u + 2*k + 5, 0 = -2*u - 5*k + 3*k. What are the prime factors of f(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*c - 6*c. Suppose 36 = u + 3*u + 4*j, -3*j - 9 = -c*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1197.00012263 - -1197. Round l to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d + 4. Let t be w(0). Suppose 130 = 2*i + 4*c, -3*i + c - t*c + 195 = 0. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4*h = -4, -12 = 25*h - 21*h. Let g(s) = s**3 - 4*s**2 + 5*s - 17. Let m(o) = o**3 - 5*o**2 + 6*o - 15. Let a(x) = t*g(x) - 5*m(x). Calculate a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60382 < 60382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -24*d**2 + 53*d**2 + 1 + 2*d - d + 43*d**2. What is the tens digit of u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 106a - 27?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33*0.04.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2356110 < 2356103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3*u + 1147 = 0, 280 = m - 2*u + 5*u. Let z = 288 - m. Which is the third biggest value?  (a) z  (b) -3  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + -16793?\nAnswer: -16800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-3 - -1) + (-195 - 25). What are the prime factors of ((-22)\/30 + (-4)\/(-10))*n?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5\/3  (b) 3\/2  (c) 3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11450 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 0 = -3. Suppose -5*s = -2*z - 5, 5*s = y*z - 0*z + 10. Let k = s - -8. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 11:05 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -205461 - 2414?\nAnswer: -207875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -35*f**2 - 255274380*f - 182338825 = 0.\nAnswer: -7293553, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*s + 15*s - 1156. Let f = s - -26. Calculate the highest common factor of f and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -x - 12. Suppose u + 2045 = x*t - t, -3*t + 4*u = -3075. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-66)\/4)\/(-3))\/(80\/(-160)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1536 + -1?\nAnswer: -1537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -59972 divided by -2068?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 645.4875 days?\nAnswer: 15491.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -168, -175, -184, -195, -208, -223?\n\"Answer: -l**2 - 4*l - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 359.\nAnswer: -71.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*x = -4*x - 4, -4*x - 8 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17204 by -506.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10187759\/118 or -86337?\nAnswer: -86337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -492.5 - -492.43. Which is the third biggest value?  (a) -4  (b) o  (c) -2.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 28\/6 + 14\/(-21). Suppose x - 15 = -i*x. Solve 8*g + 15 = x*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15283 and 15997?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 6*f + 14. Let l be -2 + f\/(-1) + 17. Let w = l - 16. What is the least common multiple of 7 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -6. Let j be w\/(-12) - (-294)\/8. Suppose 4*z + j = 4*s - z, 0 = -2*s - 5*z - 19. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5 - -5)*(-3)\/((-30)\/28). Is 40 a factor of c\/(-126) + 3332\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -41, -2, -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of f*s + 2*f*z - 2*f + 16*s**2*z**4 - 5*s**2 + 14*z**4 - 43 wrt z?\nAnswer: 2*f + 64*s**2*z**3 + 56*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8055, 5726, 3395, 1062, -1273?\n\"Answer: -w**2 - 2326*w + 10382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3770.986748 - -3771. What is k rounded to four dps?\nAnswer: 0.0133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21 * -22378.\nAnswer: -469938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d - 2*c - 35, -5*c = -5*d - 4*c - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2986059 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 263*l**4 + 222661*l**3 + 94057513?\nAnswer: 1052*l**3 + 667983*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (30\/(-1) - 0) + -1. Let t = 41 + v. Let p(j) = -j**3 + 14*j**2 + 7*j + 9. What is the remainder when p(14) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347002 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 916045583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a millimeter in micrometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -m - 5*w - 25, 4*w = 45*m - 43*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + 6*g**2 + 3*g - 3. Let f be i(-5). Suppose 0 = r - f - 6. What is the remainder when (16\/10)\/((-5)\/(-75)) is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 129.07 + -129. Which is the fourth biggest value?  (a) -1\/4  (b) o  (c) -2  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 1. Suppose -i = -3*q + 8. Let l = 20 + q. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(6)\/sqrt(2) + 2 + (sqrt(18)\/(sqrt(24)\/sqrt(4)) - sqrt(3)))**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 138.4 and -180.3.\nAnswer: -24953.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + (sqrt(363) - (2*sqrt(363) + 2))**2 + -5 + sqrt(363)*2 + -4) + 1)*-6.\nAnswer: -8598 - 1584*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 6 = 2*z, -5*m - 13 = 3*z - 3. Suppose z = -5*j + 15 - 25. Is j\/(-5) + 144\/15 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -17 + 75?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**4\/4 - n**2. Let d(v) = -3*v + 2. Let t(p) = -p + 1. Let y(f) = d(f) - 2*t(f). What is y(c(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0841 - 0.1541. Which is the closest to r?  (a) 1\/5  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117339348.\nAnswer: 2, 3, 7, 97, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -3. Let a = w + 2. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)*2 - sqrt(119))*6)\/(sqrt(28)\/sqrt(64)) + -2 - (((2*sqrt(119))\/sqrt(7)*-6)**2 - (sqrt(272) + 0)*6).\nAnswer: -2450 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-3 - 0))*(-27 + 26). Sort g, 2, -5, -56, -2.\nAnswer: -56, -5, g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 - -12. Let b = f + 35. Solve -2*w = -5*w - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 11:15 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of -c**3 + 3*c**2\/2 + 18*c - 5. Factor x(o).\nAnswer: -3*(o - 3)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 652*l + 238*l + 4839 + 2344 = -31977 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k**3 - 702668271*k + 702668271*k.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-16\/7)\/((h*h**20)\/h))**(-1\/41) assuming h is positive.\nAnswer: h**(156\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1565 - -48. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -69 and 33.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 1\/2  (c) -0.04  (d) 34.6  (e) 26  (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5292 plus 1?\nAnswer: -5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4 - 2*o**2 + 4*o**2 + 5 - 3*o**2 + o. Let u(w) = -3*w**2 + 5*w + 8. Let q(s) = -5*t(s) + u(s). Differentiate q(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2388 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - 4*u**5\/5 - 32*u**4 + u**3\/3 + 41*u**2 + 2. Let t(n) be the first derivative of w(n). Let t(i) = 0. What is i?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 4*m - 3*l - 47 = 0, -2 = m + 2*l. Let z be (m\/6)\/(2\/3). Find j such that -5 + 14*j**z - 12*j**3 - 4*j + 4*j**5 + 5 - 2*j**4 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 x, and 1 r when three letters picked without replacement from {a: 1, b: 2, d: 1, x: 5, j: 2, r: 2}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1615861\/44520 - 3\/(-6). Let r = j + -1968\/53. Let w = r + -4\/105. Which is the second smallest value?  (a) -1  (b) w  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88111 is divided by 434.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1112026 (base 7) to base 6\nAnswer: 2540511","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is -22914 divided by 2?\nAnswer: -11457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2482129, -4964518, -7446907, -9929296?\n\"Answer: -2482389*r + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2730 = -5*w + 2*i, -8*w - 3*i = -7*w - 546. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 16*x**2 + 56*x + 8. Calculate v(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, o: 11}. What is prob of sequence oh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 - 4)*210\/126. Which is smaller: -50\/9 or n?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -0.1, 27, -339, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**5 - 834548*j**4 + 4172694*j**3 + 17525380*j**2 + 19194481*j + 6676344 = 0 for j.\nAnswer: -1, 8, 834543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 26*t + 2. Let a(x) = -13*x - 1. Determine -7*a(w) - 3*d(w).\nAnswer: 13*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 54 and 900?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1))**34)**45\/(h\/(((h\/((h*h**(-1\/4))\/h)*h)\/h)\/h)*h**(-2))**(-11) assuming h is positive.\nAnswer: h**(-6175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*g**3*j - g**3*n**2 + g**3 - 3*g**2*j*n**2 + 3*g**2*n + 25*j*n**2 wrt g?\nAnswer: 36*j - 6*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1615768 (base 10) to base 4.\nAnswer: -12022132120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -31?  (a) -2  (b) 0.4  (c) -126  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 15\/311?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 24 - 42. Is 2\/s - 4824440\/(-1044) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -6*b**2 + 8*b - 8. Let a(s) = -5*s**2 + 8*s - 8. Let p(k) = -4*a(k) + 3*h(k). Determine z so that p(z) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -0*z + 12. Suppose 2*m = 3*f + 109, z*m - 7*m - 4*f = -168. Does 11 divide 6\/(-4) + m\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -836.685 and 33.\nAnswer: -803.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3\/22  (b) -2\/7  (c) 4  (d) 5  (e) 1\/5  (f) -64\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 + 6 + 12)*(-5*w - w + 3*w)*(6*w - 3*w - w) + (w**2 - 2*w + 2*w)*(-1 - 4 + 3).\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -4*k + 23, 26794*q - 26793*q - 2*k = -1 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a. Let w(d) = -10*d**2 - 138140. Determine u(w(t)).\nAnswer: -20*t**2 - 276280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2053, -4228, -6523, -8938, -11473, -14128, -16903?\nAnswer: -19798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 2\/9, -1\/3, 1\/246, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -286 + 288. Suppose -5*j - 4*v - 17 = 0, 2*v = -j - 1 - 6. Let z(i) = i**2 - 1. Let m be z(j). Solve m*h = g*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18*(1026\/(-36) + -18 + 44)*(-16)\/10.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 1063*s**2 - 13*s - 7. Is m(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2\/5 - 119931*g\/5 - 959256\/5.\nAnswer: -3*(g + 8)*(g + 39969)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from cistj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4959 and 6821931?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, f: 3, u: 2, x: 1}. What is prob of picking 1 b and 1 u?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i + 5. Let m be b(2). Is 206*21\/18*m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 10*u = 25, y - 7 = -3*u. Let o(d) be the first derivative of -d**3\/3 - 4*d**2 + 4*d - 2. Is o(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 532 + -9*(-7)\/(-21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/4*(0 + (-78)\/9). Suppose -3*r = 4*y + 1, -5*y + 3*r = 2*r - l. Calculate the highest common factor of 16 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**2 - h**2 - 3*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/5, 1\/2, -3, -129872, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 403.1 + -413. Let y = 9.8 + r. Which is the biggest value?  (a) 4\/5  (b) y  (c) 3  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 AM and 12:18 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*z**4 + 23*z**3 + z - 53 + 10*z**4 + 51 + 3*z**4 to the form w*z**4 + g*z**2 + u*z**3 + b + n*z and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17635 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 27. Let j = d + 25. Sort j, 6, 4 in increasing order.\nAnswer: j, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1557747126.\nAnswer: 2, 3, 13, 246557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -214, -488, -766, -1048, -1334, -1624, -1918?\n\"Answer: -2*b**2 - 268*b + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.164 - 86.836. Let v = 148 + k. Let q = 60.99942 - v. What is q rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.049 + -33.951. Let q = -33.87 - s. Let x = 0.03 - q. Which is the closest to x?  (a) -2  (b) 3\/5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.7729 + -2.4729. Put 12\/35, a, -4\/13 in decreasing order.\nAnswer: 12\/35, a, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 12*s**3 + s**2 + s + 1. Let l be v(-1). What are the prime factors of -458*(-4)\/88 - 2\/l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3162110 to the nearest 100000.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*m = 5, x + 30 = -4*m - 0*m. Let n be (-8)\/(-6)*(-30)\/x. Let z be (-1628)\/(-55) + n\/10. Calculate the highest common factor of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -25*i**3 + 2*i. List the prime factors of k(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 5:35 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -340480 = 2517*k - 5177*k for k.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13339171 is divided by 24253.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9.3 + 2.7. Let v = -2 - m. Let k = v + 14.1. Which is smaller: -15 or k?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2707439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 - 67 = -3*y + 3*f, f = -2*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4594.526 hours?\nAnswer: 16540293.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 473 - 471. Solve 3*l - 3*h - 2 = j*l, l + 3*h = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43.4 - 45.3. Let q = 0.2 + -1.2. Let m = q + o. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -752173 = -25*z + 27*z - 31*z. What are the prime factors of z?\nAnswer: 37, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -11*g - 442. Let w be r(-40). Let h be 6\/(-3) - (-1 + -1). What is the closest to 1\/3 in w, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10*12\/(-1260))\/(4\/(-6))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/2)\/j)**(-30) assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*t = -37 - 23. Suppose -z = -3, 16*i - 964 = 12*i + t*z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3981321, 0.3, 0.1?\nAnswer: 3981321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 r when three letters picked without replacement from {r: 7, t: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 603840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1582)\/(-49) + (-6)\/21. Suppose 0*b = 4*b - l. What is the least common multiple of 7 and b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -57*w**3 + w**2 - 2*w - 2. Let t be a(-1). Let h = 71 - t. Suppose -h*i + 2240000 = -15*i. Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 8  (b) 0.0749  (c) -418\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -22033034 (base 5) to base 14\nAnswer: -4d22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1071 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8682826 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 7302816 = -14897184. Round z to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 468.6263 years?\nAnswer: 5623.5156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j - 6. Let g be f(6). Suppose a - 2294*n + 2299*n = 20, a + 4*n - 16 = 0. Factor g*x + 2\/13*x**3 + a - 2\/13*x**2.\nAnswer: 2*x**2*(x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(84\/49))\/(((-2)\/12)\/(5\/(-2)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6292\/726 + 490\/(-60)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*j = -6, 5*v - 4*j = 8. Suppose v = -0*y + y + g - 3, -3 = 3*g. Let z be (22\/y)\/(2\/16). What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25.49 + -38.49. What is the closest to 6 in j, -2\/5, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 18\/8 - 2 - 68\/16. Calculate the remainder when 137 is divided by 37 + 5*(y\/(-10))\/(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/(-10))\/((-6)\/(-180)))\/((-54)\/81)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5 - -10) + (1258 - (-15)\/(-3)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -855, -883, -911?\n\"Answer: -28*x - 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/180)\/((256\/16)\/192*16\/(-260))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2590 = 4*j + j. Suppose 5*x = -123 + j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a**2 - 4. Let x(n) = 2*n**2 - 3. Let j(p) = -3*k(p) + 4*x(p). Let l(r) = 3*r + 4. Let b(d) = -8*d - 11. Let o(q) = 4*b(q) + 11*l(q). Give o(j(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*b**2 - 173 - 160*b**3 - 209*b**3 + 397*b**3 wrt b?\nAnswer: 84*b**2 + 14*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ehm when three letters picked without replacement from whwywweeeemweweemeww.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -15*t - 1. Calculate g(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2018884.\nAnswer: 2, 7, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -60 + -2 + 0\/1. Let s = 265 + u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 46*w**2 - 130*w + 4. What is the lowest common multiple of j(9) and 50?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2154\/7 - -308. Let w be (10 - 75\/10)*6\/10. What is the nearest to v in -1, -3\/5, -3\/2, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9)*a**(-7))**(-7\/2) assuming a is positive.\nAnswer: a**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -4, -4\/7, 5, 1, 14\/79?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1567\/342 - -191\/38. Which is the smallest value?  (a) 141  (b) 2  (c) 6  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 330 + -337. Let r be 2*15\/(-10)*(x - -6). Solve 1 = r*j + 4*w - 0, 5*w = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n. Let l(t) = -4*t. Let b(o) = -2*a(o) - l(o). Let d(j) = -51*j - 21. Let r(u) = 5*u + 2. Let s(c) = -2*d(c) - 21*r(c). What is s(b(k))?\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 2*z - 17 + 5, -6 = 2*z - 4*b. Suppose -z*r = -0*k + 2*k - 24, -k = 2*r - 16. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -76, 2, -46589, -1 in ascending order.\nAnswer: -46589, -76, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 918 + -913. Let q = z + -5.3. Let x = 0.3 + -1.3. What is the closest to 1 in 0, x, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*v = 78*v + 1483 + 1764 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyllffldd. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2691245*q**4 - 2*q**3 + 47463413*q**2.\nAnswer: 64589880*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/12 + (-62)\/12. Put c, -1, 5 in decreasing order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 3*n = -50, 17*s + 7826 = 4*n + 7804 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10 - 5)\/(2 - 1). Let z be 10\/h*((-22)\/4 - 2). Let j(b) = -z*b - 3*b + 7*b. Let g(o) = 3*o. What is j(g(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u - 6. Let z be x(6). Let t be (4\/2)\/4*4. Let g(o) = 10*o - 15. Let a be g(t). Sort z, -2, a in increasing order.\nAnswer: -2, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 14 - 11*h - 45*h + 67 + 33. Let j be s(2). Factor 6\/7*p**4 - 24\/7*p - 8\/7 - 2\/7*p**3 - 22\/7*p**j + 2\/7*p**5.\nAnswer: 2*(p - 2)*(p + 1)**3*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 7:51 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, y: 1, c: 1, v: 1, b: 3, x: 1}. What is prob of picking 1 c, 1 x, 1 y, and 1 k?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -104416, -104424, -104430, -104434?\n\"Answer: j**2 - 11*j - 104406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6456 - 6451. What is the closest to d in -0.3, 1\/8, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80.89298 weeks to days.\nAnswer: 566.25086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 0*s = 4, 4*s = -o - 322. Let a = 93 - o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {l: 9, z: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 4:43 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -274, -49, 176, 401, 626, 851?\nAnswer: 1076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*y**2 - 4*y**2 - 2*y + 3*y**2)*(-42*y**2 - 40*y**2 + 32*y**2)*(3 - 2 + 0) in the form h + l*y**3 + p*y**2 + x*y + s*y**4 and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -106*j**3*q + j**3 - 4*j**2*q + 10620*q - 2 wrt j.\nAnswer: -318*j**2*q + 3*j**2 - 8*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9076152 divided by -7.\nAnswer: -9076152\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -39226*f - 4436. Let b(o) = -13082*o - 1479. Let l(g) = -7*b(g) + 2*y(g). Find the first derivative of l(r) wrt r.\nAnswer: 13122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -5505904.\nAnswer: 3\/2752952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -95453740 divided by -1\nAnswer: 95453740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 152659395 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 47.4 + -52. Let p = 0.4 - v. Let y = -1 + 1. What is the nearest to 2\/9 in -2\/17, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*s + 6772 = 1004 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 - -54. Let f = j + -34. Sort 0.2, f, -0.11.\nAnswer: -0.11, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 160*t + 797. Let a be i(-5). Sort 0, 5, 1, -5, a in ascending order.\nAnswer: -5, a, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/4, -2, 0.13, 68, -3?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 16, 0.1, -0.17, 3, -23\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -3075 less than -3076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -16*r - 67. Let c(l) = -4*l + 82. Let o be c(20). Suppose 8 = w - 3*w + d, 0 = o*w - 5*d - 8. Calculate the remainder when 113 is divided by h(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -1*(22 + (-16 - 4)) + (10 - -1) and (4\/(-2))\/((-1)\/15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32115947018.42 - 94?\nAnswer: 32115946924.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 0.0887.\nAnswer: 0.01774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 5*t - 12, 2*t = -12*z + 9*t + 10 - 19 + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-5) + (-7)\/5. Let k be ((-8)\/10)\/(r\/5). Solve 7*h - k*h = -15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -404 + -381?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, m: 3, c: 8, u: 2, p: 5}. Give prob of picking 2 p and 2 y.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + -1 - -6 - -5) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2894, -2996, -3114, -3248?\nAnswer: -3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -279, -388, -493, -594, -691, -784?\n\"Answer: 2*t**2 - 115*t - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**3\/6 + y. Let w(q) = -54*q + 29*q + 28*q. Give r(w(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 87384469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (40\/24)\/((-2)\/6). Let a = n + 5. Let j = -251\/196 + 3\/98. Is a greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(0*c**2 - 10*c**2 - 4*c**2)*(0*c**2 - 2*c**2 + c**2).\nAnswer: -14*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/(-12)*(-4)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, 87, 27, -57, -165?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/((-315)\/(-98))*24\/28. Solve 5*y = -n*t + 4, -3*t + 19 - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, b: 9, h: 6}. What is prob of picking 2 b and 1 g?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115 - 97. Suppose -v - 93 = -4*n + 3*a, 72 = 2*n + 4*a. Suppose -5*f + 15 = -p, 0*p = 5*f + 2*p. Solve -5*c + 5*g = n, -c = -g + f*g + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -733, -1448, -2171, -2908, -3665, -4448?\nAnswer: -5263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnfcccojennnoono. Give prob of sequence nn.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3315357.\nAnswer: 3, 17, 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 10*c**2 + 4*c + 39. Calculate k(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 199 = 4*c - 895, -522 = -3*c + 2*l. What is the remainder when 7132 is divided by c?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 + -9. Let f = m + -16. Let t = f + 28.6. What is t rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 265, 246, 195, 112, -3, -150?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from ebztettiez.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 444079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 796886073478 - 30\nAnswer: 796886073448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14907*g + 33 = -m + 14902*g, 9*g = -6*m - 72 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 1:40 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 8*v - 9*v + 2*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 3*v + 10. Let q = -513 - -503. Give b(q).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -35\/202, -2, 125 in decreasing order.\nAnswer: 125, -35\/202, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145424908?\nAnswer: 2, 29, 881, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4364*o + 28514 with respect to o.\nAnswer: 4364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**3 - 4*n + 4*n)*(3 - 3 + 2*n) + 21*n**4 - 2*n**4 + 7*n**4.\nAnswer: 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 1\/7  (b) -28  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 186, 313, 440, 567?\nAnswer: 694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 3 g when four letters picked without replacement from {g: 7, u: 7}?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + y - 5 = -4*y, 0 = -d + y + 2. Suppose o = 5*p + 8 - 86, 75 = 4*p - d*o. Solve -5*g = -j - p, 5*g = -2*j + j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p and 1 g when four letters picked without replacement from {p: 5, x: 2, g: 3, s: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 10. Solve -4*w + 14 = k, -w - 1 = -5*k + r*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -14470*u - 983936. Give i(-68).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**3 - 1992*w**2 - 27255*w + 29250 = 0. Calculate w.\nAnswer: -650, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 4) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*t**2*z**2 - 341*t**2 - 3*z**2 with respect to z.\nAnswer: -36*t**2*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 8:27 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 616173 divided by -13.\nAnswer: -616173\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y - 3*y + 0*y - 6*y - 5*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4945951, 9891904, 14837855, 19783804, 24729751, 29675696?\n\"Answer: -f**2 + 4945956*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*m, -3*m = -2*n - 7*m + 32. Let l(t) = -t**3 + 3*t**2 - t + 2. Let k be l(2). Solve k*f + 6 = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/1704 and -121\/9523656?\nAnswer: 9523656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9641, 9633, 9621, 9605, 9585, 9561?\n\"Answer: -2*j**2 - 2*j + 9645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -424 - -595. Let j = -169 + n. Solve 0 = -4*a - 3*w + 7, -j*a - w + 2 = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 9:56 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-2))\/(4\/6). Let o be (3 - a\/(-3)) + 2. Let z = 64 - 48. Solve -j = 4*v - 2*j + 4, 4*j - z = o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 701, 2785, 6259, 11123, 17377, 25021, 34055?\nAnswer: 44479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37883451 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -129\/140 and -85\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109 + -547\/5. Let u = -17.9 + -0.1. Let q = u - -17.7. Which is the third biggest value?  (a) -15  (b) p  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-1)\/(-110))*(-8436)\/21090?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, 47499\/5, -31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 12411 + 17587. Suppose -w - 10963 = -6*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -3*r**2 + 375*r + 14503. Give j(156).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5 + (sqrt(108) + -2 + sqrt(108))*-1 + 2)*-6.\nAnswer: 2 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) 177  (c) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**3*d**3*z - 692*c**3*z - 398*c*d*z - z with respect to d.\nAnswer: -3*c**3*d**2*z - 398*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*m - 4*m. Let b be (-1*2)\/(2\/m). Let l(y) = 2*y**b + 8*y - 12*y + 4*y. Let z(v) = -2*v. Calculate l(z(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -262, -1032, -2316, -4114?\n\"Answer: -257*l**2 + l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -12*h**4 - 16*h**3 - 4*h**2 + 10*h - 10. Let d(r) = -r**3 + r + r**4 - 1 + 0*r - 2*r**4. Let q(n) = 10*d(n) - o(n). Factor q(b).\nAnswer: 2*b**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 64\/33 and -70 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2*r + 26 = 0, 4*g + r - 29 = -4*r. Solve 80 = -g*w - 14*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165349, -165348, -165347?\nAnswer: -165346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**2 - h**2 + 4*h**2 + (h + 1 - 1)*(-2*h + h + 3*h) - h + 3*h - 4*h + 2 + 2*h**2 to the form b*h**2 + q + t*h and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2403959*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 4 - -29) + -3. Let j = k + -19. What is the third derivative of -2*b**j + 0*b**4 - 3*b**4 - 8*b**4 - 8*b**2 wrt b?\nAnswer: -312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -3139*i**7\/70 - 4453*i**5\/30 + 3*i**2 - 437. What is the third derivative of x(r) wrt r?\nAnswer: -226008*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pxxpxxppppxxx. What is prob of picking 3 x?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 221 - 45. Let u = q + -61. Let x = u - -52. What is the remainder when x is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -44 + 1 - (-1489 - -1450).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -93 - (-26 - (-94 - -94)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 385629344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * -23.\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -431 + 453. Calculate the greatest common divisor of 242 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 525.5053 centuries to months.\nAnswer: 630606.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81 - 1 - (-1793 + 1943).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of m**5\/60 - 2*m**3\/3 + 5*m. Let t(k) be the second derivative of u(k). Let l(i) = -2*i. Give t(l(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, -0.1, -36\/35, 0.298, 4 in increasing order.\nAnswer: -36\/35, -0.1, 0.298, 4, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((1 + sqrt(1008))*2 - 2*(sqrt(1008) - (sqrt(1008) + -2))) + -2 + 0)**2*-4.\nAnswer: -16192 + 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 3, -0.5, 4\/4795?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -51*j**2. Let s be x(1). Let o be (-75)\/(-20) + 9\/(-12) + 114. Let v = o + s. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 3. Let r be g(-4). Calculate the lowest common multiple of (-4)\/2 + (-3 - r) and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 3, 2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -5390ba0?\nAnswer: 5390ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10557, 21113, 31669?\nAnswer: 42225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 23912*p - 539. Let r(j) = 133*j - 3. Let i(f) = -3*m(f) + 539*r(f). Let l(o) = 2451*o. Determine 301*i(g) + 6*l(g).\nAnswer: -43*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vddq when four letters picked without replacement from qfdquddfvdvdfqddvqd?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 682402 divided by -14.\nAnswer: -48743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 143 - (211 - 70 - 62).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 - 12*p**2 + 55*p - 423. Determine b(9).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(8\/13)\/(a**(-15)*a*a*a) assuming a is positive.\nAnswer: a**(164\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115425 divided by -1425.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t**2 - 2*t - 4. Suppose 15*i - 17*i + 36 = 0. Suppose d = -d + i. Let u(g) = -7*g**2 + 4*g + 9. Let b(v) = d*o(v) + 4*u(v). Factor b(x).\nAnswer: -x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6509, 13020, 19535, 26054, 32577, 39104?\nAnswer: 45635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 3*l - 7. Let k be w(-3). Let q be 9\/k - 22\/(-77). Sort 5\/2, q, -5 in decreasing order.\nAnswer: 5\/2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-25))\/(3168\/330)*16\/(-34)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 - -49. Let w(s) = s + 2. Let z be w(2). Suppose -k = 3*r + 2*r + 3, -3*r = z*k - g. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280\/(-11) - (-40)\/(-44*34\/(-748)).\nAnswer: -60\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes before 1:56 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o + 4*q + 72861, -o + 72819 = 1222*q - 1220*q. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1058668883 to the nearest 100000.\nAnswer: 1058700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 192088 or 78?\nAnswer: 192088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 9*f + 65. Let p be z(-4). Solve 4 = -p*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 5)*(-2*u + 3*u + 0*u) + 0*u + u + 0*u + (-151 + 151 - 155*u)*(-2 + 3 + 2).\nAnswer: -462*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 84  (b) 915  (c) -3\/107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*p**3 + p**2 - p**2)*(1 - 3 + 0) + 47632*p - 45682*p - 2*p**3 - 10*p**3 to i*p**3 + r*p + t*p**2 + m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -60  (c) -2\/3  (d) -0.094149  (e) -1\/4  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1985, -1, -17 in ascending order.\nAnswer: -1985, -17, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + 7*v. Let q be j(-10). Calculate the remainder when 38 is divided by q\/(2\/8*-2*-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 1\/520080122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-632)\/(-474))\/(4\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 12:37 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*c + 11*c + 142*c**2)*(-3 - 2*c**2 + 3) to the form l*c**2 + x + z*c + t*c**4 + k*c**3 and give t.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 3*a + y = 3*a + 192, -2*y + 13 = 5 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 84\/13 - 641\/65. Let j = -103\/6 + 1063\/54. Find the common denominator of h and j.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {h: 1, m: 1, t: 2, c: 1, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -18369317307 minus 21.22?\nAnswer: -18369317328.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -3*k + 3, 5*k - j = 14*j - 75 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + (-10 - 7 - (9 + -21)) - 97?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4269059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 748311?\nAnswer: 3, 249437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2293124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54.909 - 0.091. Let l = x + 57.6. Let z = l + -2.6029. What is z rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -0.1  (c) -1  (d) 3\/5  (e) -2\/13  (f) 15202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*(d**(2\/37)\/d*d)\/d*(d\/d**(-15))\/d*d)\/((d**(2\/3)*d)\/d)**(6\/7) assuming d is positive.\nAnswer: d**(4010\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3148 + 4728. What are the prime factors of v?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from llslzllll.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of -7*r**8\/80 - 3*r**7\/40 + r**6\/5 - r**5\/10 + r**3 - 8*r. Let y(l) be the second derivative of h(l). Factor y(s).\nAnswer: -3*s*(s + 1)*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6764 + 6761. Which is the biggest value?  (a) -21\/4  (b) j  (c) 0.5  (d) 0.3  (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -14807, -59147, -133031, -236453, -369407, -531887, -723887?\n\"Answer: o**3 - 14778*o**2 - 13*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4, 11, 36, 71?\n\"Answer: 5*n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*d - 18*d + 3*g = 0, 4*d - 38 = 13*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*o - 67*o = -2289. What is the remainder when 96 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 77*i**2 + 8. Let y(t) = -153*t**2 - 13. Calculate -5*q(z) - 3*y(z).\nAnswer: 74*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 6. Suppose 5*j = t*j + 44. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44 - -52. Let b be (10 + -9)\/(-1 + i\/10). Is b at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 9  (b) 2  (c) -7\/3  (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1927, -3884, -5841?\n\"Answer: -1957*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2 - 4*l + 8*l**2 - 8*l**2 + 2*l**2. Let z be p(2). Let m be (9\/6)\/(1\/z). Solve m*i + i = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -4*z - 90, -3*k + 123 = -6*z + 3*z. Let u = 8 + k. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2 - 4. Let d be j(4). Suppose 0 = -2*h - 12 + d. Calculate the remainder when 13 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.3 - 18.3. Let k = o - -17.00114. What is k rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z - 11. What is p(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 21082.\nAnswer: -84328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 + 15 - (3 + 3 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0  (b) -63\/2521  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 PM and 6:37 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5043*y**3\/5 + 90157647*y**2 - 43979376*y\/5 + 1072668\/5.\nAnswer: 3*(y + 89389)*(41*y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (6588\/(-1221))\/9 + 138\/253\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 387 = -2*t, 2*t - 2*i + 173 = -199. Let z = -117 - t. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/30*(-12)\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -68523\/8 + 8577. Calculate the common denominator of ((-18)\/20)\/(12\/(-250)) and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(13) - sqrt(52)\/sqrt(4))*3 - sqrt(13))**2)*-1 - (sqrt(13)*2*-1 + -5 + sqrt(208)).\nAnswer: -8 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-21)*k**42*k*((k*k\/(k*((((k\/k**(1\/4))\/k)\/k)\/k)\/k*k))\/k)**(1\/10) assuming k is positive.\nAnswer: k**(889\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12*(-4 - 21\/(-6)). Let t = d + 10. Solve 3 = -c + 2*y - t*y, -5*c + 2*y = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 4845.\nAnswer: -1453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.891955s in nanoseconds?\nAnswer: 5891955000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 - (-27 - (35 + -36))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-10 - -4 - -9 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 minutes after 10:12 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is next in 415079482, 415079482, 415079484, 415079488, 415079494, 415079502?\nAnswer: 415079512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -19 + 7 + -7 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 293983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 458881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1002.225 kilometers to micrometers.\nAnswer: 1002225000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 14172789?\nAnswer: 1417278a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/(sqrt(24)\/sqrt(4)))**2 - sqrt(147)*1.\nAnswer: -7*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -828*o**2 - 2 + 2 + 350*o**2 + 219*o**2.\nAnswer: -259*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 793*z + 798*z = 20, 3*z - 12 = 0. Solve -17 = -j + 4*w, j + w + 8 = -g*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1019, -85, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (22 - (-7 + 13 - -6 - 25)) + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4232 and 828.\nAnswer: 38088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.25 take away 1969401?\nAnswer: -1969399.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 - 55 = n + 4*y - 101, 12*n + 4*y - 80 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -35, -46, -57, -68, -79, -90?\n\"Answer: -11*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 5 = -0*s. Calculate the highest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1040 = 5*f + 5*m, -6*f + 10*f - 811 = 3*m. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g - 6. Suppose 6*q = q - 15, 5*q = -g*k. Solve -2*y = 5*f + 2*y - 9, 0 = -k*f + 5*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 238859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -5710700 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.100018 - -0.1. What is n rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195250475 a multiple of 13825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -153832 < -1230645\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -7, 529, 2, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03134963831 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 161018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((1*sqrt(360) + sqrt(360))\/(-5*sqrt(5)*1) - (sqrt(2) + sqrt(12)\/sqrt(54) + sqrt(2) - (sqrt(2) + sqrt(4)\/(sqrt(2) - sqrt(2)*-2)))))**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2*x = 6*x. Suppose 0*i + i + 4*p - 69 = 0, 3*i - p - 168 = x. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -0*y + 28. Suppose -12 = -q + 6*c - 2*c, 2*q = 3*c + y. Suppose r - q*m + 8 = m, -5*r + 5*m = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = 5*l - 3*j, 2*j + 76 = 4*l + 6*j. Suppose 2*d = -2*q + 18 - 6, -3*q - l = -3*d. Solve -1 = 2*h + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-116)\/6*(-2)\/((-44)\/(-2)). Let f = 12\/11 - d. What is the closest to -1\/2 in f, 2, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 19. Suppose -3*j - u - 4 = -13, -6 = -2*u. Suppose -70 = 3*s - 5*s + j*g, -2*g = 2*s - 58. Calculate the remainder when s is divided by b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*x - 4*j, 0*x + 8 = 3*x + 5*j. Let m be 16 - (x + -1)*5\/(-5). Solve -m = 7*b - 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, k: 1, u: 4, m: 11}. What is prob of sequence kmmi?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -145 - -147. Let t(b) = -b**3 + 2*b**2 - b. Determine t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 344263133 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -6*f**2. Let a(n) be the second derivative of 0*n**2 + 0 + 1\/6*n**3 + 26*n. Give z(a(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/20)\/((-189)\/1575)*(-3)\/150\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -10740*m + 3232751. Determine h(301).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(2*sqrt(204) - sqrt(204)))\/(sqrt(4) + (sqrt(4) - sqrt(28)\/(sqrt(28)\/sqrt(4)))))\/(((sqrt(72) + sqrt(72)*-2)*-3)\/sqrt(6)).\nAnswer: -5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 146.75 + -143. Let y = o - -2.6. Round y to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -4*c - 0*c + 15, 0 = 4*z + 20. Calculate the remainder when 47 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/164 and -91\/20?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 298552*u - 597113*u + 298581*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6089781 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 865 and 4?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.688002 nanoseconds in seconds?\nAnswer: 0.000000006688002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2854\/21 + 136. What is the nearest to -1 in f, -0.4, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 2, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33528 by 6.\nAnswer: -5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -0*r + 15. Let s(q) = -q - r - 1 + 4. Let w be (5\/1 - 2)*-1. What is s(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the first derivative of -s**3\/3 - 4*s**2 + 3*s - 2. Let z be k(-9). Let g = z + 8. Let j(d) = d**2 - d - 2. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 2*v - 354, -3*v + 133 + 206 = -3*q. Let j be q\/(-2) + -6 + 5. Suppose -5*w + 2*w = -j. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1373357.58 and -12.878.\nAnswer: -1373370.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((-8 - 4) + (5 - (13 - 9)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/5 of a litre in millilitres?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -4\/7, -23, -6\/23, 0.3, -1.7?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - 16496.11?\nAnswer: -16513.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 594641088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 34180 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**4\/24 - g**2 + 2. Let a(q) be the second derivative of -q**4 - 9*q. Calculate s(a(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 16*o**2 + 16*o + 17. Let a = 26 - 9. Let y be u(a). Is -1\/44 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**3 + 5*w**2 - 2*w - 4. What is the least common multiple of k(4) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 66185.47 nanograms?\nAnswer: 66.18547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 83316593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -20 divided by -7\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of -p**3\/3 + p**2\/2 + 4*p + 21. Let v(s) be the first derivative of y(s). Give v(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 20*v**2 + 18*v + 1. Let c be d(-19). Solve -c = -r + 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*c + k, 0 = 5*c - c - 3*k - 13. Suppose -3*w = -1 + c, 0 = 3*q + 2*w - 7. Differentiate n**q - 3*n**3 + 3 - 2 wrt n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9576 + -9437 + 1 + -248.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 2.932621?\nAnswer: 0.5865242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 4 - 2)*(-a - 24*a - 7*a) to n*a + d and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -278473.31 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.3 in -6, 2\/21, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 - 11020?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00860926607 rounded to 6 decimal places?\nAnswer: -0.008609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 460088 is divided by 126?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7113*z - 7117*z + 14225*z.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2758 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9257 is divided by 4627.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*m*v**3 + 6725*m*v**2 - 20*m*v + 2*m - 493*v**3 + 20387 wrt m?\nAnswer: 5*v**3 + 6725*v**2 - 20*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*b - 53*b = 150*b - 2400 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 3*w - 324, -3*b + 349 - 55 = -3*w. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17.89 + -4.59. Let m = 14 - 27. Let j = k + m. Which is the biggest value?  (a) j  (b) -1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -0*g - 5*g. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*t = -5*u - 93*t + 10, -8*u - t = -12*u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 21 - 51)*(-t + t + 417*t**4 - 691*t**4).\nAnswer: 20550*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*(-5 + ((sqrt(147) - (sqrt(147) + sqrt(147) + (sqrt(147)*-2 - sqrt(147)) + sqrt(147)) - sqrt(147))*2 + -5)**2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*s**5 + 2*s**5 - s**5)*(-5 + 5 + 3) + (3*s**3 - s**3 + 0*s**3)*(0*s**2 - s**2 + 2*s**2).\nAnswer: -25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*((-19)\/(-19))\/((-3)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (3 - 2) - (2860 - 2875).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mnfjemfmenjnmn. Give prob of picking 1 f and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 54 - -1371. Let l = k - -728. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 + r**2 - 89*r + 15. Let w be g(-10). Suppose 0 = -3*i + 1 + 8. Solve 0 = w*y - i*a + 10, -y - 2 = -0*y - 2*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -365*q**3\/3 + 482*q**2 - 1614. Find the second derivative of r(w) wrt w.\nAnswer: -730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13976165 by -1.\nAnswer: -13976165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) - (sqrt(832) - (sqrt(832) - 2*(sqrt(832) + 3) - sqrt(832))))**2.\nAnswer: 192*sqrt(13) + 3364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 433559300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*p + 73 = 332 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10317612 to the nearest integer?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -16. What is the greatest common factor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - 9. Let f = r - 12. Which is the third smallest value?  (a) f  (b) 1\/3  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**5\/100 + x**4\/4 - 7*x**3\/15 - 50*x + 2. Suppose v(z) = 0. What is z?\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of -h**5\/20 + 4*h**4\/3 - h**3\/6 - 6*h**2 + 81*h. Find the second derivative of a(g) wrt g.\nAnswer: -6*g + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*t - 39*t + 810 = -11*t + 4*k, 5*k = -5*t + t + 40 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((44\/(-8))\/11)\/1*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (58539\/(-36972))\/((-57)\/99).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3*t + 23. Let r be y(4). Which is the closest to 4?  (a) -1  (b) r  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*y**3 + 1928*y**2 + 127232*y - 27745664.\nAnswer: 4*(y - 86)*(y + 284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 86\/(-3) - (-10)\/15. Let y = 64 + x. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304) - (sqrt(304) + (sqrt(304) - (sqrt(304) - (3 + 1 + sqrt(304))))) - -2*sqrt(304)*-3 - (4 + (6*-5*sqrt(304) - sqrt(304))))**2 + 3.\nAnswer: -1536*sqrt(19) + 175171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yfcf when four letters picked without replacement from cbfysyf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 178543526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 9*h - 65. Let n be z(8). Suppose 0 = -5*r + 9*r - 16. Solve -2*o + 5*k - n = 2*o, r*k - 22 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - sqrt(55)\/(sqrt(11)*2)) + (6*(sqrt(5) + -2))**2 + sqrt(5).\nAnswer: -285*sqrt(5)\/2 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of 19*t**5\/5 + t**4\/4 + 461*t**2\/2 - 618. Find the second derivative of m(a) wrt a.\nAnswer: 228*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 880\/30 + (-1)\/3. Suppose 0 = 3*w - t - 16. Let p = w - 14. Solve -p = -z + 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -23*u**2 + 8*u**2 + 85*u**3 - 12*u**2 - 84*u**3 + u to q + v*u**3 + d*u + b*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 24 - (-37)\/(296\/48). Calculate the highest common divisor of m and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 - 13 = -11*b. Put -3, -25, b in descending order.\nAnswer: b, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l**2 + l + 8. Give t(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in 0.2, 3, 211, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 2*y + 2*y - 8, -5*t = -y + 2. Let j(k) = 6 - k + y - 8. Let c(f) = f**3 - 7*f. Determine c(m) - 5*j(m).\nAnswer: m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418*u - 415*u - 57 = 0. Suppose -22*z + u*z - 399000 = 0. Round z to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 4*g - 10. Put 4, -2, g in decreasing order.\nAnswer: 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.03 + -5.03. What is the closest to 1\/89 in 0, m, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -3*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**2 - 87*m + 546. Let o be f(-49). Let p(x) = -3*x - 14. Let r(d) = 5*d + 27. Calculate o*p(g) + 4*r(g).\nAnswer: -g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**(1\/3)*o)*o**(-1\/3))**(2\/17))**(2\/123) assuming o is positive.\nAnswer: o**(-4\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/55 and 3\/830?\nAnswer: 9130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 + 7.3. Let z = 142.4 + -142.2. Let b = z + u. Put 2\/11, -0.3, b in descending order.\nAnswer: 2\/11, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 821963617 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1363231791 rounded to 4 decimal places?\nAnswer: -0.1363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - n + 187, 0 = 2*n - 2 - 4. Let q = j - -136\/3. Suppose 2*g = 5*i - 23, -5*g + 13 = 5*i - 17. What is the third smallest value in 2\/7, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1200177944 to the nearest integer?\nAnswer: 34644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1331 and 8.\nAnswer: 10648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3930 and 384354?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2461, -2487, -2513, -2539, -2565, -2591?\n\"Answer: -26*s - 2435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 2622*z + 5. Let n be y(1). Let v = n + -3954. What is v rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 97 - 72. Suppose -2*m + 0*t + 3*t = -27, -t + 13 = 3*m. Let r = 11 - m. What is the highest common factor of h and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 8*k - 52. Suppose k*d - 5031 = n + 1211, n = -4*d + 4990. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h**3*v + 3*h**3 - 1447*h**2*v - h**2 + 53717*h*v wrt h.\nAnswer: -12*h*v + 18*h - 2894*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 13898305, 13898302, 13898297, 13898290, 13898281, 13898270?\n\"Answer: -p**2 + 13898306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -298 smaller than -368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 1116*n. Let t(a) = 2*a**2. Give y(t(w)).\nAnswer: 2232*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 4937441 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x - 1. Let i be h(-3). Let p be (1 - 1)\/(4 - i). What is the second derivative of 17*o + p - 5*o**2 - 12*o**2 + 0 wrt o?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 948847586.\nAnswer: 2, 474423793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186, 183, 178, 171, 162, 151, 138?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-8)*4\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4792 + 14377\/3. Let w(z) be the first derivative of -9\/2*z**2 - v*z**3 - 11*z - 7. Give w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**3 - 19*y**2 + 92*y + 6. What is s(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 0 + 1)*(2*i + 0 + 0)*(13*i + 17*i**2 + 11*i**2 - 27*i**2).\nAnswer: -16*i**3 - 208*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 3*m**3 + 7 + 3 - 4*m**3 - 3*m - 7 + 0*m. Let w be (-1)\/(-1*(-1)\/(-2)). Give r(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - 4*h - 28, -5*h + 3*h - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.06 - 7. Let l = n + 0.93999947. Round l to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -113, -3, -4, -1, 5 in ascending order.\nAnswer: -113, -4, -3, -1, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j - 2*j**4 - 3*j + (-191*j + 281*j + 307*j)*(5*j**3 + 0*j**3 + 12*j**3).\nAnswer: 6747*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -441.38 + 446.38. What is the third biggest value in -31, -0.4, z, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5205588 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + -72 + (242 - 216)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -99\/140 + 3\/28. Which is the nearest to -0.1?  (a) 1  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 2:35 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 5*l + 328 - 331 = 0, -3*l - 2*l = -3*z - 33 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 5*b + 14. Give f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27449\/6 + 4564. What is the common denominator of a and 65\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 5*j + 7*j)*(-27 - 8 + 10)*(-12*j + 7*j - 8*j).\nAnswer: 4225*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g = -4*g - 50 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 4*u**4 + 97124*u**3 + 3976236*u**2 + 21235500*u + 30542400 = 0.\nAnswer: -24240, -35, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7451896*l**3 + 2459293*l**2 - 2.\nAnswer: 44711376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3216 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) + 5 + -3 + sqrt(80) - 2*-4*sqrt(80)) + (sqrt(80)*2 + -1 + 2)*2)**2.\nAnswer: 448*sqrt(5) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v*v*v\/(v\/(v**(2\/7)*v))*v))**(-7)\/((v*v**6)\/(v\/v**(2\/7)))*((v**(-1\/2))**(-9))**(8\/5) assuming v is positive.\nAnswer: v**(1082\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b**2 - 60*b + 225 = 0.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 7 = 5*j - 30, 0 = -4*j - 5*o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 4, 11, -2\/31, -13, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 3:08 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 810\/77  (b) 1  (c) 1152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -138.32 times -90\nAnswer: 12448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1207\/4?  (a) 5  (b) -15\/14  (c) 0  (d) -0.3  (e) -3\/4  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*l = 83*l - 721 + 2091 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 1010 + -1002 + (-1 - 28) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/5)\/(((x*x*(x\/x**(1\/7))\/x*x)\/x*x)\/x))**(13\/6) assuming x is positive.\nAnswer: x**(-221\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 55, 68, 97, 148, 227?\n\"Answer: z**3 + 2*z**2 + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) 344  (b) -0.4  (c) 0.5  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.052909 less than -88952?\nAnswer: -88952.052909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -92\/495 and -31\/44?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 9*z**2 + 6*z - 9. Let v be f(2). What is the greatest common divisor of 91 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 2*t - 4. Let v be d(-8). Let i = 46 - v. Calculate the common denominator of 29\/3 and i - ((-3 - (-183)\/23) + -1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -420, -1853, -4210, -7491, -11696, -16825, -22878?\n\"Answer: -462*w**2 - 47*w + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1478028511?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*0*((-20)\/(-35) + (-15)\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17, -10, 1, 16, 35, 58?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z + 53 = -79 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 42*s**2 - 408*s + 145. Calculate k(8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279995451254 take away 0.82?\nAnswer: 279995451253.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/48 - 14\/4. Let b(h) = -8*h + 0 + 2 - 8. What is the tens digit of b(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 + ((-4)\/(-4) - 2). Suppose l - 8*b + 13*b + 26 = 0, 3*l = -z*b - 18. What is the nearest to l in 2\/7, 2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*p**2 - 27*p**2 + 16*p - 16*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 12.214 and -0.4.\nAnswer: -4.8856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/212744 and -101\/273528.\nAnswer: 1914696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 8 - 3)*(-2*k + 12 - 12) in the form l + o*k and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (0 - -14 - (16 + (-64 - -61))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t + 408 = 3*a + 341, -3*t = -2*a + 28 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b + 0 = 24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 54994 take away -5207.139281?\nAnswer: 60201.139281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1261 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*a - 4800 = 0, 31*a + 9608 = 2*d + 35*a. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.3, 2, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007066633609 to six dps.\nAnswer: 0.000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of 3*j**5\/20 + j**4 + 5*j**3\/2 + 3*j**2 - 10*j. Factor k(l).\nAnswer: 3*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50199000 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 125 = 5*p, 2*p = -s - 2*s + 76. Suppose 0*o = -q + o + 13, 2*q + 4*o - s = 0. Suppose -q*t = -8*t. Solve 3*c + 2*c = t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/13)\/((-24)\/78))\/(3\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4 + g - 4 + 5*g**2. Is z(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-13\/2)\/z*z**(-5))**(-47) assuming z is positive.\nAnswer: z**(1175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -95.06 + 98. Let v = 3 + -2.94. Let i = m + v. Sort i, -0.4, 2.\nAnswer: -0.4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 124 - 271. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + -3 + -131 + 74 + (10 - 0).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -4 + 5 - (-4 - (-2 + 0))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2686 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 12:28 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 83 - 82. Let p(k) = -k**2 + k - 1. Let i(b) = -6*b**2 + 2*b - 5. Give s*i(m) - 4*p(m).\nAnswer: -2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 57 + 63 = 0. Sort 29, v, 4, 5 in decreasing order.\nAnswer: 29, 5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 63814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 8 = 8*w. Let j = w + 4. Is -4 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 - -26. What is the lowest common multiple of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ajaa when four letters picked without replacement from {j: 2, a: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7026 and 735.\nAnswer: -5164110","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*n**3 - 33*n**3 - 5*n**3.\nAnswer: -84*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjzjzjjjjjj. Give prob of picking 2 z and 2 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 132133 and 1154?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 87389.32 nanograms in milligrams?\nAnswer: 0.08738932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 45\/6 + (-2)\/(-4). What are the prime factors of r*2 + 0 + -2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - t + 2. Let c(g) = 8*g**2 - 86*g - 161. Let j(y) = c(y) - 6*d(y). What is j(42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 101*g + 4. Let q(m) = 111*m + 3. Give -2*i(c) + 3*q(c).\nAnswer: 131*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*h**3 + 3*h**3 - 2*h**3)*(11 - 1742*h + 132 - 143) to the form j*h**4 + x + d*h**2 + z*h + t*h**3 and give j.\nAnswer: 19162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/18)\/(1\/(-5) + 0). Suppose 2*z + 0 + 8 = 4*h, 0 = -4*z - x*h + 23. Suppose -f + 8 = 5*j, f + j = z*f - 20. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -875 by -5.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1905.053417 and 38.\nAnswer: -1867.053417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26\/7 - 24\/7. Let p = -147 - -111.1. Let l = -36 - p. What is the nearest to b in 4\/7, -5, l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -55 < 45\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {e: 1, j: 3, g: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1855418550 less than 0.9?\nAnswer: 1855418550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -1 + 0)\/(136\/272)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*h = -20*h - 4*r + 6, -3*h + 5*r = 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 95*o**3 + 17 - 21 + 118*o**3 - 235*o**3 in the form b*o + x*o**3 + n + w*o**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/99 - (-133)\/792. Are 1 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 0.9\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*n**2 + 169*n + 542.\nAnswer: -8*n + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -43411, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -420*k + 23 - 23.\nAnswer: -420*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 5*f + 1029, 2*t = 2*f + 126 + 882. List the prime factors of ((-440)\/(-12))\/(13\/t).\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*t - 31*t**2 - 23*t**2 + 56*t**2 wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2554*r + 8682*r - 11001*r - 5396*r)*(3 - 1 - 1) to the form n + p*r and give p.\nAnswer: -10269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6.3052961006 + 421.3053014306. Let r = a + -415. Round r to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.8 and 2.8698577451.\nAnswer: 4.6698577451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -4*m**3 + 268*m**2 + 1124*m + 852 = 0.\nAnswer: -3, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 30 = 8*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*k**2 + 18597005*k = 0. What is k?\nAnswer: 0, 3719401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 766210 and 82990.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3013775845433 + 3013775845433 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1814 - 1755. What is the remainder when 2947 is divided by n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -18 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -48463868 greater than -48463869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -44 + 42. Let b be (1 - 3)\/(s\/(-5)). Let q = 25 + b. What is the greatest common factor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*m + 60*m + 2 - 37*m.\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 90 = -5*r, 0 = -2*r - 3*o - 0*o + 40. Let s be 6\/21 + 10\/r. Let v be (2 - s)\/((-4)\/(-16)). Solve 24 = -d + 4*j, -j = d - v + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - c = -0*c + 8, -c = i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (152\/4142)\/(4\/(0 - -2)). Which is bigger: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2360\/(-59) - 52)*20\/16)\/(-3 - -2)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -8*g**2 - 23. Let a(r) = 9*r**2 + r + 25. What is 6*a(m) + 7*o(m)?\nAnswer: -2*m**2 + 6*m - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17248 = 24*d - 8*d. Let s = 4315\/4 - d. Let 0*v**3 + 3\/4*v + 3\/2*v**2 + 0 - s*v**5 - 3\/2*v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 1966065*g + 18 + 1966044*g - 11.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 136213?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 14932830.6s in days?\nAnswer: 172.8336875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 8*j**2 + 9*j + 1. Calculate the remainder when p(4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3275)\/110)\/((-2)\/(-4)). Let o = 59 + r. Let j = 1\/22 + o. Which is bigger: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + w**2 - 11*w + 6*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 + 111 + -142 + -2 + 37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of g**8 - g**5\/2 + 2293*g**4\/12 - 2*g - 397. Find the third derivative of b(r) wrt r.\nAnswer: 6720*r**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d + 2*d**4 - 2*d**4 + 2*d**5 + (-d + 0*d + 2*d)*(-547 + 547 - 36*d**4).\nAnswer: -34*d**5 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 539 - 523 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*d - 4*l + 51, 2*d + 15792 = -l + 15807 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 219358 = 5*p - 219312, -1 = -49*k + 5*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/d**(-3\/11))*d*d**38 assuming d is positive.\nAnswer: d**(426\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 186\/(-104) - (-4)\/16. Let d = j + 206\/117. Which is the smallest value?  (a) d  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 39*g**2 + 33*g - 66. Let f be n(-38). Let i be f\/68 + 8 + -8. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -93892*r**2 - 597117*r wrt r.\nAnswer: -187784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6490 is divided by 585.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -3, -12\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-6)*(b*b**(-3))\/b*(b\/b**(-1))**(5\/14))\/(((b\/(b\/b**1)*b)\/b)**1\/(b**1\/b**(2\/7))) assuming b is positive.\nAnswer: b**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -1240*h + 1236*h + 4, 0 = 5*k + 4*h - 40 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 10:39 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c + 7234 - 7344 = -11*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 745312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(4*4\/16). Let m be ((-9)\/(-2))\/(p - 3). Sort -0.5, m, -1.\nAnswer: m, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15*(-1 - 4\/(-3)). Let z = -144\/553 - 2\/79. What is the smallest value in f, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/3290 and 99\/4?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -215238963 and -4.\nAnswer: -215238967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)\/(sqrt(22)\/(sqrt(11)*-2)))\/(sqrt(88)\/(sqrt(44)\/sqrt(4))*3).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4122329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.05989889117 to 5 dps.\nAnswer: -0.0599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-20)*3*((-40)\/90)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**5 - 96*j**4 = 0. What is j?\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 4*i - 24. Let x(p) = -2*p**2 + 7*p + 50. Let k(r) = 2*x(r) + 5*z(r). Let s be k(-3). Solve -s*g = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 minus -0.329?\nAnswer: -39.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6248 = -333*h + 49*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102014 is divided by 397?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64 + -64.35. Let m = -2.15 + o. Round m to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 12) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 19792348 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000134296 to 6 decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, a: 2, i: 1}. Give prob of sequence aikk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)\/sqrt(2) + sqrt(35))\/sqrt(7)*6 + ((2*sqrt(75))\/sqrt(3))\/sqrt(5))*-2.\nAnswer: -28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 1. Let r(w) = 4*w + 5. Let t(h) = 5*d(h) - r(h). Let g(p) = 18*p. Give g(t(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 13*v**2 - 11*v + 4. Let m be t(12). Let n(h) = -m + 16 - 14*h**2. Let q(a) be the first derivative of -2*a**3\/3 - 3. What is n(q(p))?\nAnswer: -56*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 0*m + m - 1 - 2*m. Let y = 52 - 53. Let h(v) = 2*v**2 - v - 2. Let g(o) = y*k(o) + h(o). Differentiate g(p) with respect to p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -3*q + 28. Let h be 42\/(-8) + (35\/q)\/7. Let v = 136\/3 - 89\/2. What is the biggest value in v, -1, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -30.000014 - -30. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-29)*y**(3\/7))**(-1\/18))**23 assuming y is positive.\nAnswer: y**(4439\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/2, -2\/57, 1.3, -11\/6, 2, -2.9?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14*(-16)\/(-56) - -66 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 44, 103, 186?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vewyhvy. What is prob of sequence yyv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - 631?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.292 + 0.108. Which is the second biggest value?  (a) -3  (b) n  (c) 8  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 107715*i**2. Let y(x) = 3212*x. Calculate y(r(z)).\nAnswer: 345980580*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -9*i + 2. Let o be p(-2). Let g(z) = 15*z - 20. Let a(n) = -124*n - 3. Let v(s) = 21*s. Let b(j) = -a(j) - 6*v(j). What is o*b(r) + 3*g(r)?\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -0.4, -0.93, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1005*q - 968*q - 133 - 163 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 12:36 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -690 - -366. Let x = -328 - l. Which is the third smallest value?  (a) x  (b) 4\/5  (c) 4  (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-51*t + 24*t + 25*t + 17)*(-4 + 4 - 1) as v + y*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*r + 127 + 279. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 146 - 67 - 69 - (13 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(48) + -4))**2 + (3*(sqrt(3) + -2*sqrt(3)) - (0 + sqrt(75)))**2.\nAnswer: -32*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 16, 3\/4, -0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -131\/741 - -11\/39. Let u = 0.88 + -0.9. Let j = 0.22 + u. What is the smallest value in j, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 78262, 160104, 241946, 323788, 405630?\n\"Answer: 81842*q - 3580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, -24, 5.\nAnswer: -24, 5, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 2*b**3\/3 + 6*b**2 + 207. Let f(m) be the second derivative of -m**4\/12 + 2*m + 27. What is c(f(p))?\nAnswer: 2*p**4 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 7*m**2 + 11*m + 1. Let p be ((-4)\/(-34) + 1377\/578)*-2. What is n(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30493382 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 62 - -231. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1067 + -5338\/5. Is l >= -0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16c582 (base 15) in base 7?\nAnswer: 12251126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4156 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**3 + 5*m**3 + 2*m**3 + (3*m**2 - 3*m**2 + 2*m**2)*(2*m - 2*m + 2*m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*r - 21 = 5*f, 3*r - 3*f - 15 = 0. Let u be (2 + (-7)\/3)*-3. Let p = u + 0. What is the remainder when p is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*q + 5*f - 7, -11 = -2*q - 3*f. What is the greatest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 357 and -0.6?\nAnswer: -214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(180) + 5*sqrt(135)\/sqrt(3))*-4*5)**2.\nAnswer: -50400*sqrt(5) + 885600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 3\/29  (b) 2  (c) -4  (d) 7  (e) 3107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 3*y - 7. Let v be s(-2). Let r(z) = -z**3 - 5*z**2 - z - 1. What is the remainder when r(v) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13609 + -13516. What is the remainder when 376 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63)\/(sqrt(27)\/sqrt(3)) + 2 + 2)**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.09  (b) -3\/5  (c) -9210\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4363769.67 rounded to the nearest ten thousand?\nAnswer: 4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*v - v = -5, 5*v = -3*d + 29. Suppose 5*b + 7*k - 1990 = 2*k, -d*b + 1196 = 5*k. Is -2 + -2 + (b - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzgzzzzz. Give prob of sequence zz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28233*v - 1862 = -28282*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkdkkiiqkqikkii. Give prob of sequence kkk.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 9*s + 7 + 7*s)*(-1980 + 1099 + 1158).\nAnswer: -554*s + 1108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 93251 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*c**2 - 3*c**2 - 3*c - c**2)*(-1871*c + 1019*c + 995*c) in the form d*c**2 + i*c + r*c**3 + p and give d.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1467*d = 313*d + 13848 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3943 - -3962. What is the remainder when (45 - -3)*4\/3 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2. Let b be l(0). Suppose -6 = -3*a + z + 17, b = 2*a - 2*z - 14. Put a, -4, -2 in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 25 - 1. Let u be (-160)\/9 + f\/(-27). Let a be (6\/u)\/(2\/(-4)). Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*p + 8 = 18*p. Let s be 9 + -5 + 2 - 1*p. Suppose -42 = s*r - 158. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2*x**2\/9 - 62058532*x\/3 - 481407674249378 = 0.\nAnswer: -46543899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + 3. Let d(z) be the first derivative of -2*z**3\/3 - 5*z**2\/2 + 7*z + 3. Let b(n) = -5*n**2 - 15*n + 20. Let j(i) = 3*b(i) - 8*d(i). What is j(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**2 + 13*o - 5. Determine w(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/((-12)\/(-21)) + -2. Do v and 3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -158147\/3312 + 765\/16. Let u = v - -5839\/414. Find the common denominator of 1\/(-4) + (-255)\/(-220) and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(99) - (sqrt(99) + 1*sqrt(99))).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -7*o**2 - 210*o - 154. Calculate the least common multiple of 42 and l(-27).\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44176.8 millennia in decades?\nAnswer: 4417680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, h: 3}. What is prob of sequence jh?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 22 = -u, 26348*l - 35 = 26353*l + 2*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 204 + -133. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -38478 - 1?\nAnswer: -38480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/60 - 118\/(-15). What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.079261mg in grams?\nAnswer: 0.007079261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -4*w - 6, 2*d + d + 4*w + 22 = 0. Suppose 159*z + 6174 = -822. Put 4, z, 5, d in decreasing order.\nAnswer: 5, 4, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 5 = 2*w - 9, 25 = -4*b + w. Let p(o) = 3*o**3 - 7*o**2 - 4*o - 4*o**3 - 39 + 55. Let m be p(b). What is the nearest to m in -2\/7, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -138704 = -15*h + 12406. List the prime factors of h.\nAnswer: 2, 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -295 by -5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d - 1. Let g be z(-4). Let v be 1 - (g - -4) - -3. Which is the second biggest value?  (a) v  (b) 3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - m = -9. Suppose m*w + w - 836 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/4)\/(2\/4). Is 765\/6 - (-2)\/(-4)*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136538521 is divided by 2171.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*h**3 + h**4 + 8*h**3 - 6*h**3 + (-3*h + 3*h + 13*h**3)*(-2 - 2*h + 2) - 5*h**4 + 3*h**4 + 0*h**4 - 19*h**3 + 19*h**3 + 33*h**4.\nAnswer: 6*h**4 - 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8652305 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -190*p**2 + 352*p**2 - p**3 - 181*p**2.\nAnswer: -p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 6*u**2 + 7*u - 4. Let p be f(5). Suppose -5*s + 4*g = -8 - 14, 3*s + p = -4*g. Let k = 30512\/35581 - 2\/5083. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 3) + 2 - (-1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**2 + 16800*o - 450684.\nAnswer: -4*(o - 4173)*(o - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -213272 (base 13) in base 4?\nAnswer: -2331332321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-129)\/129)\/((-6)\/(-21) - 24729\/86527). Calculate the greatest common factor of 94 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sasaassaasaaaass. What is prob of picking 4 a?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**10*q**11 assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 2*k**2 + 5*k - 4. Let t be o(3). What is the tens digit of (t + (-3)\/1)\/((-1)\/125)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y = 2*b - 34, -49*y + 1590*b - 1594*b - 448 = 34 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -5\/1062 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - 5. Let r(z) = z**2 - 7*z + 9. Let o be r(6). Which is the closest to 0.2?  (a) o  (b) 2\/3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/2856 and -3\/40.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 101798970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of y**2*z**2 + 3043*y**2 - 1657*y*z**3 wrt z?\nAnswer: 2*y**2*z - 4971*y*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 111450 and 7350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*4*1.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6489556?\nAnswer: 2, 277, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - 2. Suppose -2*i + 16 = 2*n, -4*i + n + 24 = -i. Let x = i + g. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (37 + -6 + -7 + -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (179 - 118 + 115)*(-2*a + 0*a + a)*(-2 + 3 + 1).\nAnswer: -352*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a + 4*v - 241, v - 65 + 286 = 5*a. Calculate the remainder when a is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1e44dd (base 16) in base 12?\nAnswer: 7b7b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 13*s**3 + 23*s**3 - 35*s**3 - 2*s. Determine r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + 11120?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1184 by 2.\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -750160 = -23*b - 747377 for b.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14052648513 from -8.02.\nAnswer: -14052648521.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2922 - 170797\nAnswer: -167875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(3) + 1 - (sqrt(3) + (sqrt(27) - sqrt(3)))*-2.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 1910 = -5*w, b - 390 = 4*w - w. Let u = b - 2363\/6. What is the common denominator of u and -85\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -c**2*s**4 + 132*c**2*s + 80323*c**2 - 47*s wrt s?\nAnswer: -4*c**2*s**3 + 132*c**2 - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78 - -90. Suppose -p = -3*r, 2*c - 2*r - 2*r = -6. Let b(g) = g + 7. Let o be b(-7). Solve o = c*a + 19 - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1423257 to 3 decimal places.\nAnswer: -1.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5 + (sqrt(245) + (sqrt(245) - (-4 + sqrt(245))) + sqrt(245))*-1 + 2)**2.\nAnswer: 140*sqrt(5) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 417776642.\nAnswer: 2, 208888321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o - 4. Calculate the remainder when 62 is divided by v(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 652\/(1530\/192 - 8). What are the prime factors of j\/(-14) + (-675)\/(-63) + -11?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -3. Suppose x + 34 = 3*t - 11, -v*x - 60 = -4*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 326 = -22. What is the highest common divisor of 145 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/5*u**4 + 1\/5*u**3 + 0 + 0*u + 1\/5*u**5 + 0*u**2 = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2200)\/125)\/((-44)\/(-60)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17, -73, -129?\n\"Answer: -56*u + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 8 - 2. Suppose v*b + 3*l - 35 = 0, -3*b + 22 = 2*l - 0*l. Suppose -5*n = -b*a + 363, a - 2*n = -2*a + 267. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -40*f**2 + 2*f - 1. Let r be p(1). Let x = 74 + r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1944746791.\nAnswer: 13, 73, 613, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 6814?\nAnswer: 61326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is d92 (base 14) in base 10?\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -176*p - 179*p + 357*p - 6. What is z(-6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 101*i - 2478. What is l(20)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3574 is divided by 1160?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 divided by 4?\nAnswer: 345\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-671)\/88 + 11)\/(1674\/(-44640)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16259491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 278924087 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 + -1)\/((-3)\/3). Let l(o) be the third derivative of -o**6\/120 + o**5\/60 + 2*o**3\/3 + 4763*o**2. Calculate l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4*i = x + 12, -4*x - 4 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 8*u - 3. Let d be h(3). Suppose 3*n = -4*m + 79, -3*n - d*m + 58 = -26. Calculate the least common multiple of n and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 982 is divided by 327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2157365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*a + o = 158*a - 45, -5*a - 45 = -19*o for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92443 is divided by 18469?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2907000 rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 4160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -189 + 143. Let w = r - -64. Solve 4*k = 3*h + 18, -4*h - w - 2 = -4*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2 + 7. Let x(v) = 3*v**2 - 14. Let s(c) = 5*h(c) + 3*x(c). Let r(a) be the first derivative of -a**3\/3 - 8*a - 138. Calculate -3*r(i) + 4*s(i).\nAnswer: -i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 13*h**3 + 7*h**2 - 8*h + 13. Let u(z) = -3*z**3 - 2*z**2 + 2*z - 3. Let t(l) = 2*a(l) + 9*u(l). What are the prime factors of t(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364216814?\nAnswer: 2, 13, 19, 737281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7, 3, -2\/3, 0.2, -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -5*i**3\/3 + i + 1. Suppose -12*x = -13*x - 1. Give r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*u**2 - 8*u**2 + 2*u**4 + 17*u**3 + 2*u to the form p + j*u**4 + m*u + k*u**2 + w*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1056?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -12, 5*c + 0*z - 36427 = 3*z. Suppose 0 = -5*r - 25, -c = -y + 2*r + 3414. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -549 = -27*m - 900 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15794?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**2 - 72*s + 243 = 0. What is s?\nAnswer: -27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 2*l + 2. Let r be v(3). Let t = 29 + r. Calculate the smallest common multiple of 15 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 33*f - f = 33*f - 4686 for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 30 = v + v, 5*c + 4*v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = k - 5*n + 13, -5*k + 5*n = 15. Solve k = 5*j + 5*b + 5, 11 = -4*j + 5*b - 2*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.197 - 10160.197. Let g = 10157.4851 + u. Round g to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + a - 11 = 0, 44*q - 48*q - 4*a + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10492 - 8392. Calculate the highest common factor of y and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**0*h)**(-2\/11))**(-2\/49) assuming h is positive.\nAnswer: h**(8\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 654 is divided by 171.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51)\/(-6) + -369 + 349.\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 223 = d + c, 879 + 206 = 5*d - c. Let w = d - 784. Round w to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 18 = 3*v + s, 5*s = 4*v - 1. Suppose -v = -d - 0*d, 4*a - 12 = -3*d. Suppose g + 5 = 0, a = -5*c + 3*g - 2*g + 45. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from {z: 7, r: 3, g: 3, m: 3, k: 1, o: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -0.4, 0.4, -4\/57 in descending order.\nAnswer: 0.4, -4\/57, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*w - 157 = 71 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22012511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + l + 0*l)*(-1443991 + 1444002 - 114*l**2 + l**2).\nAnswer: 113*l**3 - 11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 140289 to the power of 1\/2, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 7:25 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 19515.8357318 plus 4254?\nAnswer: 23769.8357318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 741111, 741109, 741107, 741105, 741103, 741101?\nAnswer: 741099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f. Let z(b) be the third derivative of -b**4\/8 + 2*b**2. Let t(s) = 4*q(s) - 5*z(s). Let i = -5 + 1. Calculate t(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.099327 to three decimal places.\nAnswer: -3.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16834)\/1938 - 1\/(-3)) + 8.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - 12397900?\nAnswer: -12397897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*g = -81. Let f = 485\/6 - g. Sort 0.5, 2, f in descending order.\nAnswer: 2, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-106)\/(-18) + (-14)\/(-126). What is the derivative of 13 - 19*q - f - 15 - 32 wrt q?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(68)*-1 + sqrt(68))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + f**2 - f - 1. Let h be -1*(0 + (-1)\/(-1)). Let a be g(h). Suppose -x - a*x = -561. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2103003 (base 4) to base 11\nAnswer: 7086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)*3*2*-3)**2.\nAnswer: 174636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, y: 2, e: 4}. Give prob of sequence my.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-130)\/(-13)*(-4)\/(-120).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -n + 294, n - 2*r - 276 = -r. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -337.56 + 304. Let y = 10.12 - f. What is y rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*w = -108. Let u be 32\/(-10) - 3\/(-15). Let z be (u\/(-20))\/(w\/48). What is the third smallest value in z, -2\/3, -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, -450, -1 in descending order.\nAnswer: 5, 3, -1, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -18.14 and 786.\nAnswer: -14258.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + 0)*(-3 + 3 + 2*l + (8 - 8 + l)*(-2 - 3 + 3) - 4*l - l + l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 945*z - 20728 = 297*z - 3232 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (18\/(-1))\/(24\/(-16)) - -4. Suppose -k - 4*v + 76 = 32, -5*k - 3*v + 237 = 0. Calculate the greatest common factor of w and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.379 - -283.379. Let o = h + -283. Put 9, -0.1, o in ascending order.\nAnswer: -0.1, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*p*t*u**4 - 3*p*t*u**2 + 8*p*t + p*u + 2*u**2 - 2 wrt u.\nAnswer: 8*p*t*u**3 - 6*p*t*u + p + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -2\/7  (b) 4  (c) 0.1  (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 164, 165, 166?\n\"Answer: v + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18697 + 0.0208226?\nAnswer: 18697.0208226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(605) + -5*sqrt(605)*1 - sqrt(605)) + 0 + 2)**2)*-2.\nAnswer: -30262 + 440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 + 2*c - 582. Let r(h) = 2*h. Give v(r(t)).\nAnswer: 8*t**2 + 4*t - 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 68, -4, 2, -7, -38 in decreasing order.\nAnswer: 68, 3, 2, -2, -4, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 4*p - 3*p - 19, 4*p - 68 = -4*w. Let r be 27202\/8 + (-4)\/p. Round r to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(10\/(-680)*2)\/(-1).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 PM and 10:21 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 5234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 226*r + 2931. List the prime factors of h(-11).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 16*h**2 - 56*h - 13. Calculate t(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*d**2 - 27*d**2 - 90*d**3.\nAnswer: -90*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 9*q**3 + q**2 + 13*q - 20. Let f be o(4). Suppose -f = -14*x + x. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.7, -0.4, -2, 35\/34.\nAnswer: -3, -2, -0.7, -0.4, 35\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o**2 - 3*o**2 + o**2 + (2*o**2 - 2*o**2 + o**2)*(-6 + 2 + 1))*(-2206 - 85*o**2 + 2206).\nAnswer: 170*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 4 + 4)*(a + 2 - 2)*(a - a + a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of t**5\/70 + 5*t**4\/42 - 22*t**3\/7 - 15*t - 3. Factor i(y).\nAnswer: 2*y*(y - 6)*(y + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (659 + 871*g - 333 - 326)*(-1 - 3*g - g + 2*g) to n*g + p*g**2 + o and give p.\nAnswer: -1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*y**4 + 76*y - 14*y**4 + 2*y**2 - 17*y**4 + 6*y**4 wrt y.\nAnswer: -300*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p**2 + p. Let b be x(-1). Let a(s) = -s - 7. What is a(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 0 - (-5 + 4 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b + 20, 0 = -21*g + 24*g - 3*b - 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 5*t**2 + 2*t - 5. Let a be 86\/(-21) - 106\/(-1113). Determine i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1221323 rounded to three decimal places?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135421 is divided by 67642.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1713, -3360, -5007, -6654, -8301?\n\"Answer: -1647*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**4*q)\/(((q**8*q)\/q)\/q))**(-15\/7)\/((q\/q**14)\/q**(1\/5))**(3\/5) assuming q is positive.\nAnswer: q**(2136\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**2 + 6*r - 10. Let g be z(-7). Suppose 4*w = -4*v + 80, w - 2*w = -4*v + g. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*(b**(-3\/4)*b)\/b*b*b*b*b*b)\/b*b)\/b**(-4\/11))\/((b\/(b**(-5)*b))\/(((b*(b\/(b\/(b\/b**(-2\/5))))\/b)\/b)\/b*b)) assuming b is positive.\nAnswer: b**(443\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b - 8451 = 4589. What are the prime factors of b?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 20 = k. Suppose -2 - 8 = -k*v. Solve 9 = -v*c + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24292\/43, -2.1, -1\/3, -1\/6, 0.\nAnswer: -24292\/43, -2.1, -1\/3, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbvvcvvjccvjc. What is prob of sequence jvbc?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 18820, 37645, 56470?\n\"Answer: 18825*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -5)*(2 + 18\/(-4)). Suppose -2*i = -6*i - 2*p + 40, q*i + 2*p = 50. What is the greatest common factor of i and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of -t**6\/120 + 3*t**5\/20 - t**4\/3 - t**3\/3 + 4*t**2. Let w be r(8). Put w, -3, 1 in ascending order.\nAnswer: -3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2688) + sqrt(2688) + sqrt(42))\/(sqrt(6) + -3*sqrt(36)\/sqrt(6)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sswyhwwsyau. What is prob of picking 1 h and 3 w?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.2. Let f be -8 - (-3 - (-3 - -3)). Which is the third smallest value?  (a) 0  (b) w  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v + 0*v + 3*v**2 + 2*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1961279*d**3*x**3 - 3*d**3 + 89*d**2 + d*x**4 - 2*d - 46 with respect to x.\nAnswer: -5883837*d**3*x**2 + 4*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.4 - -7.4. What is the smallest value in -3, o, 0.5, -6\/13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (84*s + 212*s - 179*s + s + 0*s + s + 5*s - 3*s - s + (4 - 1 - 4)*(1 - 1 - s))*(-8*s + 9*s**3 + 8*s).\nAnswer: 1089*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 - 37.4. Let f = c - -69. Let i = 170 - 170.1. What is the third smallest value in 0.3, 0.23, f, i?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 143218?\nAnswer: 2, 101, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58590357, -58590352, -58590343, -58590330, -58590313, -58590292?\nAnswer: -58590267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 8:24 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96*l + 9 = -105*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-6) - ((-174)\/18 - -4). Which is the closest to 3\/5?  (a) -0.04  (b) 2  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -165 - -354. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2776285, -5552581, -8328875, -11105167, -13881457, -16657745, -19434031?\nAnswer: -22210315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 44, 74, 108, 146, 188?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.013 times -0.978664\nAnswer: 0.012722632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -3*z + 2038, -5*f = -0*z + 5*z - 2030. Suppose -184 = 183*k - 935 - 1079. Calculate the greatest common factor of f and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 204840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -116*w**5 - 2*w**3 + w**2 - 554*w + 3 wrt w?\nAnswer: -2320*w**3 - 12*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 102233021 (base 5) to base 3\nAnswer: 210212101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -3 - (-19 + 10 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2112, 2114, 2116, 2118, 2120?\nAnswer: 2122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*m + 1302 = 33*m - 15*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 times -20?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -2) + (0 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 3*b + 39 = 0, -167*b = -4*o - 170*b - 24 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 4*q + 8. Let f be y(4). Let t = -5 + f. Find the third derivative of t*i**2 - 17*i**2 + 10*i**4 + 7*i**2 wrt i.\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*n + 3*n + 15. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -57, -107, -233, -471, -857, -1427, -2217, -3263?\n\"Answer: -6*j**3 - 2*j**2 - 2*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51063 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 + k + 1. Let w be y(-2). Suppose -8*a = -77 - 83. Solve 0 = -8*h + w*h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.2862574 microseconds?\nAnswer: 0.0002862574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2072970 or 2072972?\nAnswer: 2072972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*f + 3. Let q be (1\/f*0)\/2. Let y be q + 4 - (-6)\/6. Solve 2*u = u - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24 + 162527*h**2 - 162530*h**2 + 10 + 2*h in the form l + k*h**2 + g*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 20 = 4*p, -3*w - 8*p + 20 = -4*p. Is 1\/(2\/1038) - w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106299478?\nAnswer: 2, 53149739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23013 + 2?\nAnswer: -23011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18943162 to the nearest integer?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -0.5, 3, -175145, 2\/3, -1\/3, -0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b + 100. Let p be s(0). Suppose 4*c - 2*r = -p, -46 = 2*c - r + 2*r. Are c and -22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/3 - 15291245*k**2\/3 - 58455551058128*k\/3 - 58455535766884\/3.\nAnswer: -(k + 1)*(k + 7645622)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5\/3 - 1988*j**4 - 65278*j**3\/3 + 249556*j**2\/3 - 7960*j - 332752\/3 = 0. Calculate j.\nAnswer: -2971, -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 38. Suppose -6*d = b*d - 350. Calculate the remainder when 49 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**3 - i + 1. Let w be y(1). Let u be (4\/(-10))\/(w\/(-20)). Put -1, -2, u in descending order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**5\/30 + 5*d**4\/12 + 23*d**2. Let a(g) = 0. What is g?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5659, -4.\nAnswer: -4, -3, 5659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + f**2)*(93*f + 95*f - 173*f) + f**2 - f**2 + f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/21  (b) -9\/41  (c) 2\/5  (d) 1.8  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 99 - 61. Calculate the smallest common multiple of w and 0 - (4*(-35)\/14 - 2).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84203 is divided by 1026?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25397 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 245487142.\nAnswer: 2, 23, 563, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 + 801.1.\nAnswer: 766.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (9999\/(-1515))\/(3\/5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 3, -3\/4, -1.1, -0.2 in increasing order.\nAnswer: -1.1, -3\/4, -0.4, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*r = 2, 2*d = -3*r - r. Let a = 91 - 53. What is the remainder when a is divided by 0 - (160\/4)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*k - 4*k - 24. Let b(a) be the third derivative of -1\/90*a**k + a**2 + 0*a**3 - 1\/210*a**7 + 1\/36*a**4 + 1\/180*a**5 + 0*a + 0. Factor b(c).\nAnswer: -c*(c + 1)**2*(3*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*q - 37*q = 0. Solve -3*t + 3*n - 3 = q, 3*t + t = -n + 21 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27504?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.101  (b) 3\/4  (c) -4  (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -53.628 + -0.172. Let s = o + 54. What is the nearest to 3 in -3\/2, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2602366.\nAnswer: 2, 13, 101, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -89 + 106. Let u(s) = s**2 - 2*s + 161. Is 18 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -1  (b) 2\/5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 22 = 5*j, -4*o - 44 + 84 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/65, -2, -14, 0.04 in descending order.\nAnswer: 0.04, 1\/65, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2241519491.\nAnswer: 109, 20564399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.088?  (a) 134  (b) 2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 14*m - 1. What is n(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 172.5 rounded to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = 7*x. Suppose 4*g + 2*b = -3*b + 57, 3*g - 5*b + 1 = x. What is the lowest common multiple of 30 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 5. Let v = -3 + i. Which is the smallest value?  (a) v  (b) -2  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 300, 3, 5, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 145226879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u - 7*u + 5*u + 218414*u**3.\nAnswer: 218414*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1028297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14 and 78512?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - -16. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7142*o = 7151*o + 45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r*((r**(-2\/5)*r)\/r)\/r*r))\/r)**19)**(-2\/7) assuming r is positive.\nAnswer: r**(114\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/((-264)\/45))\/((-3)\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d**3 + 8*d**2 - 3*d - 7. Let g = 1598 - 1594. Give p(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is -11104 less than or equal to -40900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 19. Let r = -3 - v. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213013 (base 7) in base 3?\nAnswer: 1212211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11100100 (base 2) in base 6?\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 368343523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 93 and 110391.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 11:06 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4410353879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3 + ((1*sqrt(128) + -2 - (-2 + 2*sqrt(128)))**2 - ((sqrt(128) + 1)**2 + -1)*-6)).\nAnswer: -4495 - 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 2178?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 1 - 2. Suppose -v = 4 + 13. Let r = -12 - v. What is the lowest common multiple of r and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 4*p**3 - 16*p**2 - 15525*p + 62100. Give o(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxvvx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1117 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 230 and 1107634.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 12. Let l = 16 + z. Let p(m) = m - 1. What is the units digit of p(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 1.01, -0.1, 0.3, 5, -3, 1298?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**5\/7 - 20*v**4\/7 - 58*v**3\/7 + 108*v**2\/7 + 144*v\/7 = 0 for v.\nAnswer: -3, -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.135506 nanometers to kilometers.\nAnswer: 0.000000000000135506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3323.78 litres in millilitres?\nAnswer: 3323780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 2*g + 62 = 0, -g - 8 = -q + g. Solve -2 = 4*o - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 AM and 4:13 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.582398kg in milligrams?\nAnswer: 7582398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6495 is divided by 383.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -4  (b) -0.2  (c) -5  (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37543467 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 3cc7?\nAnswer: -3cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-31 + 20)\/(2\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {k: 8, j: 2, q: 2, y: 1, d: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, 6, -184 in decreasing order.\nAnswer: 6, 0, -8, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.816 take away -37?\nAnswer: 93.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -195 or -781440?\nAnswer: -781440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 27 * -729\nAnswer: -19683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -3*o**2 + 229*o - 4321. Give s(42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 25 - (-15 - -40).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -66*x - 24405680 + 24405680. Let r(g) = -g**2. Determine z(r(y)).\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9196*q - 94 = -9187*q + 14 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 88\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/14)\/s)**(-4)*(s\/s**(-2\/17))\/s**15 assuming s is positive.\nAnswer: s**(-1210\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -5*y**4 - y**3\/3 + 101*y + 7. Differentiate g(c) with respect to c.\nAnswer: -60*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cnchhnmncmcmcccmmcn. Give prob of picking 1 m and 2 c.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00698 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 20\/2241 or 90?\nAnswer: 20\/2241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = -0*a + 288. Calculate the greatest common divisor of 208 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**3\/5 - 6078*d**2 - 606657*d\/5 - 115254 = 0.\nAnswer: -10110, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1485, -4, -3, 2 in increasing order.\nAnswer: -4, -3, 2, 3, 1485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -883 + 1604. Does 82 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.36853 litres to millilitres.\nAnswer: 1368.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mlml when four letters picked without replacement from mlmmmlmmmmmmmmml?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 62 + -47 + -4 + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56, 63, 70, 77?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16753 - -19253. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/2 + 2 + -3. Suppose -3*o = -3*t + 57, m*t = o + 11 + 56. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17.9*16.\nAnswer: 286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5*(-13 + (-4402)\/(-341))\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*2*6)\/(sqrt(36)*-3))\/(sqrt(441)*-3*3*-3) + -3.\nAnswer: -3 - 4*sqrt(3)\/567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 304722895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -3*y, y - 3*y = -3*f + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + f = -4*p + 332, 0 = -3*f + 5*p + 509. Let c = -94 + f. What is the remainder when c + -11 - 2*1 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/10 - 3996\/(-10). Is (-4)\/(-4)*(n - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1 - -1) + -4)*(19 - (16 + 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.11 and -440?\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -0*c. Let d be 1\/1 + 4244\/(-3040). Let u = d + 2\/95. Which is greater: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2107046324 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 l when four letters picked without replacement from {l: 5, f: 1, m: 3, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(21)\/sqrt(3) + -5.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f + 2 = -30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -397 in 2, 5, 3\/10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14214.6828 + -14222. Round t to one decimal place.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.7495m in nanometers?\nAnswer: 4749500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u**2. Let p(r) = 68*r**2 - 241*r**2 + 51*r**2 + 71*r**2. What is w(p(m))?\nAnswer: -7803*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 184*x - 4 = 179*x + 26, 4*z + 2*x + 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 take away 534989?\nAnswer: -534985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 204 and 2244?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (3 + (-20)\/(-16))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**4 + 2 - 2 + (g**3 - 3 + 3)*(2*g - 2*g + g) + 2*g**2 - 2*g**2 + 2*g**4 + 4*g**4 - 4*g**4 + g**4 - g + 2*g + g**4 - 3*g**4.\nAnswer: 3*g**4 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.2157*0.637.\nAnswer: -0.7744009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**2 - 52*h - 67. What is the units digit of o(38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.92139 = -15\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g, 1 p, and 1 l when four letters picked without replacement from oploggoggppoooolu.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4952*h - 5036*h + 10502*h + 3.\nAnswer: 514*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*((-2)\/4 - 1). Calculate the smallest common multiple of ((-10)\/p)\/((-3)\/(-18)) and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5934649 is divided by 2912?\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r**4 - 4*r**2 - 11. Let f(o) = 9*o**4 + 5*o**2 + 11. Let k(s) = -4*f(s) - 5*w(s). What is the first derivative of k(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 smaller than 59\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-18))\/(161\/(-276)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 + 44. Suppose 0*t = 4*y + t - x, 0 = y - t. What is the remainder when -3 - ((-2 - 12) + 4) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1915 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -2\/31, -1\/2, 6 in decreasing order.\nAnswer: 6, 1\/2, -2\/31, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 26 = 4*j, -j - 2391 = -2*a - 2395 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 - 3*p - 1. Let a be d(-2). Let t be ((-1)\/a - 0)*-6. Solve -3*h = -h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 74489, 74497, 74509, 74525, 74545, 74569, 74597?\n\"Answer: 2*x**2 + 2*x + 74485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, 103\/2, -0.098, -14 in ascending order.\nAnswer: -14, -2\/17, -0.098, 103\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/8 - 25\/(-20) - 0. Suppose -d = -6*p + 29. Solve -15 = p*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -11 + -7 + 6 + 2 + (-43 - 2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 * 8\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 3*g - 0*m + m, -3*m - 9 = 0. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 964205 is divided by 782.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/77 at most as big as -325224?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -144*c**2 + 5*c - 5. Let q(f) = -147*f**2 + 4*f - 4. Give 5*q(k) - 4*z(k).\nAnswer: -159*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14401117677 rounded to six dps?\nAnswer: -0.144011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, g: 1, h: 1, a: 1, u: 1}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49647*v**2 + 73851 with respect to v.\nAnswer: 99294*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -622926*h**2 - 33407*h + 4?\nAnswer: -1245852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (60\/420)\/(4\/14)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 226134*z - 2035212. Calculate j(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090640743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -34 - -5*8\/10*95\/(-38)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 5. Let t = 0.1 + 0.4. Let v = 3695 - 7391\/2. What is the closest to v in t, f, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*b + 371 + 437 = 1224 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30088477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 26006 (base 7) to base 8\nAnswer: 15322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -932 + 903 + (31 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 5. Let h(b) = -b + 5. Let n(d) = -6*h(d) + 7*l(d). Let q be n(0). Solve 2*y = 2*j - 2, -q*j + 3*j = 4*y - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3637 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**5\/80 + 5*o**4\/48 + o**3\/8 - 9*o**2\/8 + 24*o. Suppose a(v) = 0. What is v?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4 = -5*p - 22, 0 = -c + 4*p + 36. Solve 108*u = 105*u + c, 24 = -3*h + 3*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.128789 micrometers in kilometers?\nAnswer: 0.000000003128789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -768, -1520, -2264, -3000?\n\"Answer: 4*x**2 - 764*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14238 - -4?\nAnswer: -14234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2552828 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 3:54 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74271, 148533, 222795?\nAnswer: 297057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 384584011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 2*v - 7. Calculate the lowest common multiple of y(-5) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*y = 85*y + 2100. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5235 or -1994?\nAnswer: -5235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**3 - 5*p**2 - 12*p + 1070. Let s(w) = -w**3 - 2*w**2 - 5*w + 535. Give -5*s(n) + 2*u(n).\nAnswer: n**3 + n - 535","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 74362423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/57 in -3, -35, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8832 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 0*r + 3*r + 21 - 4 - 5*r. Let b be x(8). Is b less than -5\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-7) - (-36)\/21. Let u = -2227 + 2226.51. Which is the closest to u?  (a) v  (b) 0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6986 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 408 divide 54962496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23328 and 5253984.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/35)\/(24\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/45 in -116, -5, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (99 - 54 + 67)*(-2*i**4 + 69*i**2 + 5*i**2 + 15*i**2) in the form p*i**3 + l*i**2 + k + z*i**4 + v*i and give z.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9596, 5, 80113, 2 in ascending order.\nAnswer: 2, 5, 9596, 80113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1497 divided by 3?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2404586, 1 in ascending order.\nAnswer: -2404586, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*j**2 + 16*j**2 - 7*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 768\/(-72) + (-41)\/((-3198)\/(-52))?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, v: 3, x: 6, z: 1, w: 1, u: 3}. What is prob of picking 2 u and 1 z?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d - 17*d - 24*d = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u. Let o(t) = -t**2 - 4*t - 1. Let y be o(-3). Let g(m) = 2*m**2 - 5*m**2 - 6*m**y + 0*m**2. What is d(g(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 173*n**2 + 30*n + 30. Calculate u(-1).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 38 = 54 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(68)*4)\/((sqrt(400) - sqrt(400)*-2 - sqrt(400))*-4) + 2.\nAnswer: sqrt(17)\/10 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -2, -4, -348?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2517 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 198*(21\/6 + -2). Suppose 5*u = 148 + o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2\/37))\/(h**(-2\/35)*h))\/(h**(1\/4))**(1\/19) assuming h is positive.\nAnswer: h**(-991\/98420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**2 - 10*j + 5. Let k be p(9). Let x be -4*(k + (-28)\/(-8)). Solve 0 = x*g - 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 7) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 + 4*b**5 - 6 + (-19*b - 2*b**2 + 19*b)*(2 - 2 + b**3).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 14a7 (base 11) to base 14\nAnswer: 9c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - -90?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-1)\/((-1)\/8). Suppose 3*q - o = 10. Calculate the greatest common factor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12258069*c**3*z**2 - 5*c**3*z - 3*c**2*z - 632*c*z + 15*z wrt z.\nAnswer: 24516138*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 10:19 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*r + 54 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89324, -178893, -268940, -359705, -451428, -544349, -638708?\nAnswer: -734745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -4*s**2 + 21*s + 2. Let p(y) = 7*y**2 - 41*y - 5. Let h(r) = -5*a(r) - 3*p(r). Let j be h(5). Let g = j + -21. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 19 + 22. Let m = h + 67. Suppose -18 = -v + 4*f, 2*f + m + 34 = 2*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1\/33, 0.3 in increasing order.\nAnswer: -0.3, -1\/33, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(425\/5150) + 0 + (-10)\/(-85) - -70.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 45 = t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*i + 9\/4*i**4 + i**5 - 1\/4 + 1\/2*i**3 - 2*i**2.\nAnswer: (i - 1)*(i + 1)**3*(4*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 46436 - 19153 = 3*u, -136351 = -5*r + u. List the prime factors of r.\nAnswer: 27271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 378 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**3 + 13*f**2 - 65*f - 312. What is i(-16)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2716544183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-579)\/(-965) + (-1452)\/(-5). Is 2028\/7 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 160, 155, 148, 139, 128, 115, 100?\n\"Answer: -x**2 - 2*x + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 0 + -2*(sqrt(72) + -1)**2 + 5*(-1 + sqrt(72)) + 1.\nAnswer: -145 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 77641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 + 10. Suppose n = 3*v - 201. Suppose 6*r - v = 2*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 5*j - 3. Let y be a(1). Suppose -37 - 47 = y*q. Let s = q - -85. Calculate the remainder when s is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -8*g - 15. Let d(s) = s**3 - 7*s**2 - 8*s - 3. Let j be d(8). Let b = j - g. Solve l + 4*l + 10 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than 247363.26?\nAnswer: 247365.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m + 1. Let h be t(8). Let g be (6\/(-15))\/(6\/h). Suppose 4 = 4*i - 4. Put -1, i, g in decreasing order.\nAnswer: i, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -17*a**2 + 15*a**2 - 3*a**3 - 2*a**5 + 4*a**3 + 2*a**4 + a**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 837*f = 72*f - 21420 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 2*b - 2*n, -5*b - 6*n + n + 95 = 0. Let w = 1 + b. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 2*a = -16 + 25, 20 = 5*w + 3*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 96205 - 63671. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*z - 6. Let y(h) = -h**3 - 2*h**2 + 1. Let c be y(z). Let b(d) = d**2 - 3*d - 2. What is the units digit of b(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 3*a. Let u be i(-3). Let n = u - -5. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-seven fifths of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 0 - (-1 + 9) - -3) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lglhh. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -5*w + 35, 4*w - 29 - 1 = -5*y. Suppose -2*v = -w*v - 27. Let m(a) = -a + 8. Calculate the remainder when m(v) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of y**7\/42 - y**6\/5 + 7*y**5\/10 - 4*y**4\/3 + 3*y**3\/2 - y**2 + 26*y. Determine c, given that z(c) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 6 and -2526459.\nAnswer: -2526453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*x**2 - 44*x**2 - 18*x**2 - 15*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -23*h**3 + 2*h**2 + 4*h - 1. Let o be f(-2). Let n = o + -44. List the prime factors of n.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 - 22*u + 32. What is l(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f + 4. Let q(k) be the first derivative of 3*k**2 + 11*k + 102. Determine 8*a(o) - 3*q(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203320324 (base 5) to base 2.\nAnswer: 11001100110010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 3 + (0 + 0 - 2)*(396 + 750 - 781))*(2*x + 5 - 5) - 2 + 2 - x.\nAnswer: -1453*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**3 - 20*x**2 + 3*x - 9. Let r be q(10). Suppose 1120 = -s + r*s. Calculate the remainder when s is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + a**2 + 5*a + 3. Let t be f(0). What is the third derivative of 96*m**2 - m**t + 32*m**4 + 14*m**4 + 11 + 91*m**2 - 186*m**2 wrt m?\nAnswer: 1104*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.032 + 0.132. Let x = 0.13 - -4.87. What is the closest to 2\/3 in 4, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 757248131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 390.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -548*g**2 + 149*g + 33. Calculate n(-1).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -374.85944 + 375. Let p = -0.145 + v. Round p to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -31870442, -31870440, -31870438, -31870436?\n\"Answer: 2*z - 31870444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 3. Let t be u + (2 - 1) - -2. Let s be -2*(0 + t)*-3. Solve 4*d - 2*i = -s, 2*d - 6*d = 5*i - 17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 + 3*d**2 - 6383*d + 0*d**2 - d**2.\nAnswer: -d**2 - 6383*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**4 + 925*r**3 - 3840*r**2 - 11340*r.\nAnswer: 5*r*(r - 6)*(r + 2)*(r + 189)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 405578*i*p**5 - 2*i*p - 64186*i wrt p.\nAnswer: 8111560*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 3 = 2*v + a, 0 = -2*v + 2*a + 10. Differentiate -3*z**v - 5 + 5 + 0 - 1 wrt z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 3*x + 31, 11031 - 10996 = 3*x - 4*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15517 and 1215323.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -1  (c) -105\/16  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 294*u = 297*u - 90. What is the common denominator of -49\/8 and ((-74)\/132)\/(-1) + u\/18?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 54*a**3*k**2 - 1782*a**3*k*w - 2*a**3 - 2*a**2*k**2 + 19*a*k**2*w - 7*a*k**2 - 4*k**2 wrt w.\nAnswer: -1782*a**3*k + 19*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -1\/688236 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/6 + (-153)\/(-6). Let i = o + -10. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3034 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 14*d**2 + 2*d + 33. Let n be s(-14). Suppose z = -1, k = -3*z + n + 53. What is the remainder when k is divided by (-124)\/(-8) - 2\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1237876459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.8800264 + 0.88. What is d rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of 0*k + 0*k**5 + 0*k**4 + 0*k**3 - 37 + 41\/6*k**6 + 27\/2*k**2. What is the second derivative of r(l) wrt l?\nAnswer: 820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 65 = -102*g + 97*g, 2*a + 2*g + 34 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 4440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j - 2*j - j**3 - 12*j**2 + 19*j**2 - 9. What is l(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-4)\/2)*1\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*b + 193 - 523. Let l = -2 + 7. Solve 4*i + 6 = -g - 12, -l*g + b = -4*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 281*0.4.\nAnswer: 112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 27 = b + 3*x, 2*b = -x + 11. Suppose b*r + r = 0. Suppose j - 4*j = 4*q - 329, r = j - 3*q - 127. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 414 and 4284.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -446*y + a = -441*y - 14, y = -4*a - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 2*t + 2460000. What is t rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 601564 is divided by 119?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c - 10. Let k(u) = -3*u + 10. Determine -3*h(t) - 2*k(t).\nAnswer: -3*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1785\/2040*12\/(-21).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1233 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from {b: 4, d: 2, x: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (18\/(-4))\/(6\/(-56)). Let o(t) = 23*t + 156. Let b be o(-6). Let x = u - b. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17.317 - -0.417. Let o = w - 61.1. Let s = o - -77.99999949. Round s to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 2*y - 6 = 0, 7*m - 11*m - 2*y = -5*y - 19 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.314 - 0.314516. Round i to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.982513 take away 0.08?\nAnswer: -20.062513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16071, 64448, 145089, 258000, 403187?\nAnswer: 580656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -99*o**3 + 59*o**2 + 6*o + 22. Let h(n) = 20*n**3 - 12*n**2 - n - 4. Let m(c) = 33*h(c) + 6*l(c). What is the third derivative of m(q) wrt q?\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 59, 93, 131, 173?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 4 - 4 + (16 - 16 - 2*i)*(-2*i - 12*i + 2*i) - 23 + 23 - 21*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 - -14. Let g(r) = 677 - 676 + 0*r**2 - r**2 - 12*r. Does 14 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80 + 882\/11. Suppose 5*j = 4*z - 53 - 28, 4*j = -3*z + 22. Let n be 2\/z*(13 + -9). What is the biggest value in 4, m, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**5 + 2*n**5 + n**5)*(-6 + 0 + 3 + 1 + 1 - 4 + 3 - 2 - 2 + (-1 + 0 + 0)*(3 - 1 - 3) + 0 - 2 + 3 - 3 - 2 + 3).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen sixths of a millennium?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, d: 3}. What is prob of picking 2 d and 2 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -4*l**2 - 9. Suppose 73 = 2*p - 29. Suppose -p = -12*c + 15*c. Let b(z) = z**2 + 3. Let n(y) = c*b(y) - 6*d(y). Differentiate n(t) wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + 0.1. Let z = 0.5 - i. Let a = -316.2 - -316. What is the third smallest value in a, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3872457881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8589\/781 >= 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 1  (c) 1\/4  (d) -0.2  (e) -17871  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220 = -2*i - 4*s, 4*i + 56*s = 57*s - 458. Is (-343444)\/i - (-1)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8673*l - 333648 = 126021 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 0 + -13 + (13 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 47.166\nAnswer: 235.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 > -0.013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 + 106\/5. Suppose 0*a - 1 = a, -4*y + 3*a + 11 = 0. What is the closest to 5 in y, q, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.249749 and 0.3.\nAnswer: 0.0749247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5325667816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -5*s**3 - 6*s**2 + s + 4. Let w be i(-4). Suppose 4*q = 2*p - 54 + w, -p + q - 86 = 0. List the prime factors of (-16)\/(-6)*p\/(-4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1843, -2493, -3143?\n\"Answer: -650*d - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apvpkppapakvpppapppp. What is prob of picking 1 k and 2 a?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4259.\nAnswer: 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -3*n**3 + 2*n**2 - 1. Let l be s(-1). Suppose -l*b - 4*w = b, -5*w = 25. Solve v + 10 = -b*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1207*f - 882 + 42709 - 4446 + 25383 = 0 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 165838019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -222351.47.\nAnswer: 44470.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -94175, -188332, -282485, -376634, -470779?\n\"Answer: 2*u**2 - 94163*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 4*d = -0*n + 64, -78 = -3*n + 3*d. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 12*s**2 - 27. What are the prime factors of r(11)?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 - 72 = 2*g. Let h = -5 + g. Differentiate -h + 49*b - 100*b + 79*b wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1211865343.\nAnswer: 13, 47, 1983413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 23729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*(o*o**(-3\/8)\/o)\/o))\/(o**(6\/7)*o*o) assuming o is positive.\nAnswer: o**(-83\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 2*o. Let s(v) = -v**2 + 11*v + 2. Let k be s(8). Let r be (4\/2)\/(k\/65). Suppose -3*n = -r + 2. Determine j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of -4*u**2 + 8. Suppose -5*v + 32 = 4*z, -2*z + v = 4*v - 16. Let i(a) = -8*a + z*a - a. Calculate i(t(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -559 - -559.2. Put -1, d, 0.014 in decreasing order.\nAnswer: d, 0.014, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zszstzzwwbwzotwsbz. What is prob of sequence szws?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*o + 2*o - 16*o)*(-5*o - 5*o - o) + (-3 + 3 - o)*(4*o - 5*o + 2*o) + 3*o - 3*o**2 - 3*o to y + p*o**2 + l*o and give p.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -31, -120, -297, -592, -1035, -1656?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 0.03, 0.0509, 2\/11, 2\/7, 3?\nAnswer: 0.0509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6071, 6053, 6029, 5993, 5939, 5861?\nAnswer: 5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.32 plus 0.11?\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*b - 8219 + 1784 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15 - -7669236908.6?\nAnswer: 7669236908.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11737746 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -11*m + 9 + m**2 - 2*m**2 + 7*m. Let t be k(-6). Let h(c) = c + 5. Let s be h(t). Put s, 22, 4 in ascending order.\nAnswer: s, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146 + 2*f + 4*f - 5*f - 36 - 16 - 125.\nAnswer: f - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13348 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 7*q. Let w be v(7). Let h(x) = -2*x - 4 + 1 + w. Calculate h(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/(-15) + (-32)\/(-3). Suppose 0 = -d - 4*d - 4*o + 190, 2*o = t. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**3 - 77*w**2 + 187*w - 233. Let f be r(36). Solve -25*x + 4*d = -20*x - f, 0 = 4*x - d - 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 15 = 9*w, j + 2230*w = -0*j + 2226*w - 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -6*x**3 + 3*x**2 + 2*x. Let f(l) = -l**3 + l**2 + l. Let h be ((-26)\/(-52))\/((-3)\/2 - -1). Calculate h*s(b) + 3*f(b).\nAnswer: 3*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -2 - (10 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - 0. Let u = -4.1 - -0.1. Sort d, 4, u.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) -2  (c) 1  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 566 = -5*o, 0*m = -3*o - m + 338. Let j = o + -104. Let b(k) = k**3 - 10*k**2 + 11*k - 10. Give b(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-7 - -10 - (-9 - -14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.11 in -3, 9.6, -211?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4796*k**3*u**3*v - 3*k**3*u**2*v - 61*k**3*u - k**2*u**2 - 9*k*u**3*v - k*v - 2 wrt u?\nAnswer: -28776*k**3*v - 54*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 59 - 79 = 0. What is the smallest common multiple of s and 219?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkjdjdjjkjxjkkd. What is prob of picking 1 x, 1 k, and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 10626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -29\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-1\/3)\/a)\/a*a*a)**(3\/2)\/((a*a*a\/a**0*a*a)\/a**(-3\/4)))**(-11) assuming a is positive.\nAnswer: a**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14253\/(-4751))\/(-1*3\/47)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 374952699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*h + 5644 + 3035. What is the lowest common multiple of h and 9?\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -6754*x - 67387. What is o(-10)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 178270.5 weeks to hours.\nAnswer: 29949444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.17 in 4, 6\/13, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/234 and -41\/24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 AM and 8:49 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 14520*b - 116157. What is v(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*2*40\/(-240)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 36961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 16. Suppose -3*p + 15 = -s*j, -4*p - p + 6 = -2*j. Suppose 2*v + z = 12, p*v - v + 3 = -z. Solve 4*g - v*t = 5 + 3, -t - 8 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*(-3)\/(-171))\/((-36)\/(-108)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*g - 210 = 234, -4*o + 375 = 5*g. Suppose -5*w = 5*f - f - o, -62 = -3*f - w. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6.777233m?\nAnswer: 677.7233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 3*z = -j + 9, -3 = -2*j + 5*z. Suppose -38 = j*f - 70. Let x(h) = -2*h + f + 0 - 7 - 4. Determine x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -18*f**2 + 2. Let p(n) = n**2. Calculate p(u(h)).\nAnswer: 324*h**4 - 72*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5 at most as big as 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000011001100 + -10000011?\nAnswer: 111000001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1580, -3, 268 in decreasing order.\nAnswer: 1580, 268, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15996, -63970, -143926, -255864, -399784, -575686?\nAnswer: -783570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-62 - -5) + (11 - (-8 + 11))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/(-4))\/((-1)\/(-4))*7. Suppose -d = 2*c - 7*c. Suppose -5*a + 240 = 5*m, -92 = -2*a - m + c. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 - -141250454?\nAnswer: 141250434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*i = 72*i - 38*t - 56, -5*i + 24 = -2*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5 + -0.2. Let u = -8.3 + q. Let z = u + 5. Put z, 5, -4 in decreasing order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 4\/26 - (-2 - (-102)\/(-13))?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 41. Suppose -5*o - 5 = 5*a, 4*a - o + 2*o + 13 = 0. Put -2, g, a in descending order.\nAnswer: g, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.09 and -1080773322?\nAnswer: 1080773322.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13 (base 4) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2222*p + 205*p + 217*p.\nAnswer: -1800*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 32. Calculate the remainder when 71 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -223*w**3 + 32*w**2 + 91*w - 51. Is f(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1844 and 127808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n - 17. What is the units digit of r(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -790 - 795 - 797 + 2382 + 12357*r.\nAnswer: 12357*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(104) + (sqrt(104) - (sqrt(104) + (sqrt(104)*-4 - sqrt(104)))) + sqrt(104)))\/sqrt(8))**2.\nAnswer: 10192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7472501 + 52682.\nAnswer: -7419819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -9*m**3 + 5*m**2 + 5*m - 6. Let q(l) = 3811*l**3 - 3839*l**3 + 6*l - 3*l - 17 + 11*l + 14*l**2. Calculate -6*q(f) + 17*z(f).\nAnswer: 15*f**3 + f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2699, -2\/9, 2 in descending order.\nAnswer: 2, -2\/9, -2699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*x + 3*v - 23, -x - 17 = -4*v. Let u = 1 - x. Suppose -30 = -3*i + 30. Calculate the highest common factor of i and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000038964 rounded to six decimal places?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m**3 - m**3 - 2*m**3)*(-1 + 1 + 1)*(2 + 3 - 3).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.201, 1.2, -11, 2\/5, 0, 1 in increasing order.\nAnswer: -11, -0.201, 0, 2\/5, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = 5*c - 135. Solve c = -2*d + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1159700*u**3*y**3*z**2 + 28*u**3*z + 2*u**2*y**3*z + 466367*u**2 + 15*u*y**3*z**2 - 2*u*y**2*z wrt z?\nAnswer: 2319400*u**3*y**3 + 30*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 1 = -2*w. Suppose -27 = -4*r + 3*m, 2*m + 0*m = w*r - 26. Suppose 3 = t - b, r*b = -2*t + 2*b + 30. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-4))\/((-1)\/2). Let s = 6 - 6.2. Let v = s + -0.8. Which is the closest to d?  (a) v  (b) -0.2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9fd45 (base 16) to base 12.\nAnswer: -276a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -11)*(-2 - -3) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 742.227 litres to millilitres.\nAnswer: 742227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*d - 11 = -117. Solve 4*a + r = 3, -3*r = -d + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c. Let w(u) = -449*u. Calculate w(y(s)).\nAnswer: -1796*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 divided by -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/9*y**2 + 0 + 2\/3*y - 2\/9*y**3.\nAnswer: -2*y*(y - 1)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27095.46ng?\nAnswer: 0.00002709546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + 21 + -58 - (46 - -3).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -266, -268, -272, -278?\n\"Answer: -l**2 + l - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10569 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178 + 171 = d, -7*f = -2*d - 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1620919, -3241840, -4862761?\nAnswer: -6483682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/18*(-4)\/2. Let r = -0.022 + -1.978. What is the closest to k in 0.5, r, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(-22))\/y)**(-16)*y*y**(-37)*y*y*y*y*(y\/(y\/y**(7\/5)))\/y assuming y is positive.\nAnswer: y**(-1918\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -185*g**3*s**3 - 70*g**3*s**2 + 4*g**3 - 3*g*s**3 wrt s.\nAnswer: -1110*g**3 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 2*i + 3. Let q be p(3). Suppose -q - 9 = 3*x. Is 12 a factor of 24\/(-10)*(1 + x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 83.24394 kilograms?\nAnswer: 83243940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 381047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 6. Let l be 1*(1 - d) + -3. Is 5 a factor of l\/(-14) - (-66)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 306\/(-85)*40\/3. Let t = 96 + o. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -116 - 4a66?\nAnswer: -4b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 31862284 a multiple of 1921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = 429*y - 426*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6674 + 15441. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6066 is divided by 2021.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 0*a + 18. Let q = 13 + a. Suppose z + 4 = -z. Sort z, 1, q in decreasing order.\nAnswer: q, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 take away -9.964?\nAnswer: 9.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*y + 1466 + 1126. Is y a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**6\/120 + t**5\/20 + t**4\/24 - 2*t**3\/3 + 17*t**2. Determine m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 62116307 - 1712*v - 62116307 - 2*v**3 - v**2 in the form x + n*v**2 + m*v**3 + a*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1500.74 plus -3514?\nAnswer: -2013.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 325 - 38 = 3*a, 3*t + 5*a - 245 = 0. Let p = -73 + t. Solve -12 + 4 = -p*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of w**8\/20160 + 103*w**5\/60 + 2*w**2 + 8*w. Let d(v) be the third derivative of n(v). Let q(p) = -3*p + 9. Calculate d(q(a)).\nAnswer: 9*a**2 - 54*a + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -219.91 - -219. Let n = -0.844 - u. Round n to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**5 - 1065*k**4 + 197031*k**3 - 7332099*k**2 - 15259536*k - 7729344 = 0?\nAnswer: -497, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {i: 1, e: 2, b: 1, k: 1, f: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459521.\nAnswer: 459521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7915?\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 667 and 562716?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 877 * -3\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5 - (-4)\/2 - -3. Let r be -3 + (-1)\/(-1) + o. Let n = 5 + -9. Sort r, 5, n in ascending order.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223203.\nAnswer: 3, 47, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 83*w**2 - 9734*w - 47830. Calculate y(122).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-370)\/(-1295) - 62\/140*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1384 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 9 = 4. Let a(n) = -2*n**2 + 7*n. Let q(k) = -3*k**2 + 13*k. Let b(u) = 11*a(u) - 6*q(u). Calculate b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r + r**2 - 2*r**2 + r**2 + 5*r**2 + (-3 + 4 + 0)*(2*r**2 - 5*r**2 + 2*r**2))*(-4*r + 2*r + 2 + 4*r + (-8*r + 4*r - 2*r)*(0 + 0 + 1)).\nAnswer: -16*r**3 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 3*m - 3. Let j be p(3). Let t be 13\/j - 4\/6. Suppose -25*h - 882 = -43*h - 108*h. Sort 5, h, t in descending order.\nAnswer: h, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1437504\/61 + 23567. Is r >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 39459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 329706197*p**4 + 289*p**2 - 344441*p wrt p?\nAnswer: 7912948728*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 25*k**3 + 3*k**2 - 5*k + 5. Let r be f(2). Suppose 6*w - r = 1365. Calculate the remainder when w is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261536 divided by 22?\nAnswer: 11888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210211021 - 2200102?\nAnswer: -220111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 95, 151, 205, 257?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 44*g**2 + 5*g - 4. Let b(c) = 9*c**3 + 2*c - 2. Let s be b(1). Suppose -9 - 18 = -s*j. Is i(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14 - 13 - -1 - 4) + 2 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 34?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 0.5, -39, -35\/8, 262?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 + 95 = -19*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of 1\/4*j**4 + 0 - 1\/60*j**5 + 2\/3*j**3 - 2*j**2 + 0*j. List the prime factors of f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1345574719.\nAnswer: 1345574719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 22*d**2 - 16*d + 138. Let m be x(-21). What are the prime factors of (-24 - (8 - 7))\/((-3)\/m)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 4*z - 5*n + 2*n, -4*z + 8 = 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 152689435 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3653 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/28*0 - 1\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164 is divided by (-2)\/(-3 - 66\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 5:54 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of -z**5\/90 - 5*z**4\/18 - 7*z**3\/3 - 2*z**2 - 42. Factor u(p).\nAnswer: -2*(p + 3)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y + 0 + 0 + (y - 4*y + 4*y)*(3 - 5 + 1) - y - y + 0*y)*(-68*y - 643 + 643).\nAnswer: 340*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (1 - 0 - 7). Let o be 2 + -4 + (8 - 1). Suppose o*w + 40 - 177 = -4*c, -5*c + 161 = -x*w. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56*(6\/1 - (-9 + 122\/8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*r**2 + 17*r - 66*r**2 + 9 - 17*r to s*r**2 + c + w*r and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 173\/(-7) + (-8)\/28. Let y be 2*-5*30\/m. What are the prime factors of (-4)\/((-16)\/y) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-42)\/30 - -1)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 684.9904 millennia?\nAnswer: 684990.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -11 - -2?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d - 11. Determine j(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-52)\/(-39))\/(3\/18*-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -3*i**2\/2 - 4*i + 2. Let u(b) be the second derivative of -2*b**3\/3 - 3*b**2 - 3*b + 21. Give -7*g(c) + 5*u(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -383137 divided by -7229?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (6\/(-5))\/(27\/(-13680)). Let c = i - 420. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 66, -42 in descending order.\nAnswer: 66, 3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-10)*(-440)\/176.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b - 1. Let x(g) = -g**3 + 6*g**2 + 8*g + 2. Let t be x(-1). Let h(w) = w. What is t*h(k) + f(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 16\/24*-2*(-3)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 216, 215, 214, 213, 212, 211?\n\"Answer: -l + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 141*q + 17 + 310 - 45 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(-30) + (-185125)\/(-1250). What is the highest common factor of g and 1517?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25\/(-9) - (-4)\/(-18). Suppose -23*i - 98 = -9*i. Put i, 3, p in ascending order.\nAnswer: i, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 - 8*p**2 + 10*p - 13. Calculate the remainder when r(7) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xox. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/8 of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-4)*r**(-10))\/(r*(r*(r**(4\/7)\/r)\/r*r)\/r*r**(-10)\/r))**26)**(-13) assuming r is positive.\nAnswer: r**(8450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 minus -0.533921?\nAnswer: 1.633921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -9*y**2. What is s(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 32*h + 6. Let r be t(-3). Let s be (-2)\/(-9) + (-430)\/r. Let f(n) = 12 - n - s - 7. Let i(m) = -2*m. What is f(i(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -3986 less than or equal to -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 7, -8767, 4 in decreasing order.\nAnswer: 7, 4, 1, -8767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 4*o + 49, o = -5*s - 3*o + 149. Suppose -s = -5*j - 8. Solve 0 = j*c, 8 = -3*l - c - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 375 + 40 = 5*u. Let j = -44 + u. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3830177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2. Let z(b) = -7*b. Let c(l) = -32*l - 35*l + 9*l + 3*l. Let x(o) = -3*c(o) + 25*z(o). Give x(d(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 2*t**3 - 162*t**2 + 918*t - 1350 = 0.\nAnswer: 3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10659, 43853, 99183, 176649, 276251?\nAnswer: 397989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 88 = 2*l, l + 2*h + 6 = 50. Let y = -41 + l. Suppose 5 = y*f + 11. Is -9\/8 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-116)\/87)\/(2\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0903 and 78863.\nAnswer: 7121.3289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 25*a**4\/2 + 15*a**3\/2 - 37*a**2 - 48*a - 16 = 0?\nAnswer: -1, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -217 - -620. Let j = 8192443\/15 - 546566. Let s = h + j. Which is the biggest value?  (a) s  (b) 0.5  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 5*h - 16 = 0, 13*h = -n + 16*h + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 4:30 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1856, -3712, -5568, -7424, -9280, -11136?\nAnswer: -12992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, q: 2, w: 1, j: 1, z: 1, r: 1}. What is prob of sequence zqrc?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -67376.666541 - 702.332099. Let g = -68075 - u. Let s = g + -4. What is s rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1155 divided by 385?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 548260 and 10586?\nAnswer: 36733420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1905.921 and -23.\nAnswer: 43836.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, 0.1, -152963?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40000*u + 107765 wrt u?\nAnswer: -40000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -191.438 and 8.\nAnswer: -183.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + 18\/2)\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.03 - 0.03. Let o = -8791.8 - -8792. Which is the third smallest value?  (a) -3  (b) o  (c) -6  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1470780 and 14707800.\nAnswer: 14707800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1121, 7770, 18851, 34364, 54309?\nAnswer: 78686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2, 58866, 3, -4, -3, -5 in decreasing order.\nAnswer: 58866, 9, 3, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 - 3*j**2 - 4*j. Suppose 4*d = -v + 11, -d - 3*d - 4*v + 8 = 0. Let o be d*((-40)\/6)\/(-5). Determine g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.4  (c) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 1:23 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -519 - -515. Sort -3, q, 2, 5, -11 in decreasing order.\nAnswer: 5, 2, -3, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -725*f - 445. What is g(-1)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 16. Let t be ((-2)\/(-2))\/((-2)\/m). Solve 0 = t*o - 3*y + 6, -5*y + 4 + 4 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 555*s - 567*s - 4*s**2 + 6*s**2 wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1977.9492 hours to days.\nAnswer: 82.41455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29363 - 29550.01. Let f = -188 - y. Round f to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*m**4*q**2 - 45*m**4*q + 11*q**2 - 17*q wrt m?\nAnswer: 20*m**3*q**2 - 180*m**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 126*-0.1.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-12)*30 + (-819)\/(-26) + -29. Suppose -2*x + 17 = -5*s, 5*x + 2*s + 2*s = -7. Put -1, -3, f, x in descending order.\nAnswer: f, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 5, 2112, 2\/3 in decreasing order.\nAnswer: 2112, 5, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (252\/1400)\/((-4)\/(-50))*(-3)\/(9\/(-172))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/10 + (-54)\/(-10). Let d be (-3530)\/(-1 - 9) - 10. What is the units digit of d\/4 + l\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4445*s + 1560*s - 4 + 1499*s + 4 + 1567*s.\nAnswer: 181*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0555031 rounded to 3 dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 107 + -106. Which is bigger: 36 or g?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11760 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + (-22)\/(-6))*(2\/(-29) - 28819\/259550)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -42413, -42412, -42411?\n\"Answer: l - 42414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -140, 17, -148, -1, 5 in increasing order.\nAnswer: -148, -140, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11 + -323466?\nAnswer: -323455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 at least 55\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 7*i**2 - 8*i - 7. Let b be 28\/5 + 2\/5. Let p(v) = -7*v + 60. Let s(j) = 6*j - 46. Let c(f) = -2*p(f) - 3*s(f). Let q be c(b). Determine h(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*w + 103*w - 145 = 115 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -a**8\/33600 + a**6\/1200 - a**5\/300 - 17*a**4\/12 - 12*a. Let n(r) be the third derivative of h(r). Factor n(z).\nAnswer: -(z - 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i. Let m(a) = -5*a. Let d(g) be the first derivative of g**4\/4 - 2*g**3 + 2*g**2 + 6*g + 7. Let w be d(5). Give w*m(c) + 4*y(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/5  (b) 0.03  (c) 2\/25  (d) -19  (e) -0.2  (f) -0.4  (g) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 3, 2\/1245, -2 in ascending order.\nAnswer: -2, -0.1, 2\/1245, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 233*w**4\/12 - 272*w**2 - 3098*w. What is the first derivative of o(f) wrt f?\nAnswer: 466*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 816?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -4*h + 11, -4*y + 0*h + 10 = 2*h. Let v(j) = -3*j**3 - j**y + 0*j**3 - 6*j**3 + 1. Give v(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 111\/(-46) - (-63)\/(-42)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/2)\/((-17)\/(-34))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x**3 + x**2. Let b be l(1). Let q(i) be the second derivative of -1\/20*i**4 + 1\/10*i**3 + b*i + 0 + 0*i**2. What is c in q(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9 + 6. Which is the fourth smallest value?  (a) j  (b) 2\/3  (c) -21  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4245*v = -4010*v - 12690 for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*z**4 + 65*z - 3630 wrt z.\nAnswer: 12*z**3 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 - 9150067892.\nAnswer: -9150067890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 9 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**3\/3 + 49614*i**2 + 297676*i\/3 = 0.\nAnswer: -74419, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 15*u = -179573 - 53065. List the prime factors of u.\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-6*(sqrt(720)*2 + -2))**2 - (0 + sqrt(720) + 0 + (sqrt(720) + sqrt(720) + -1)*3)**2).\nAnswer: -274140 + 11808*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2*u**2\/5 - 17140*u + 183612250 = 0.\nAnswer: 21425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (8\/12)\/(-1)*24\/136\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -5*t - 30. Let s = 8 + t. Calculate the remainder when (s + 0)*(-86)\/4 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w + 8367 = 8475 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 q, and 1 j when three letters picked without replacement from qjqujaqqq?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100111001 + -1?\nAnswer: -1100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (60 - 36) - -31) + 14 + 1 + 87\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(((d*d**(-8))\/d)\/d))\/d**(2\/23))\/(d*d*d**(3\/7)*(((d\/(d**(-7)\/d)*d)\/d)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-83\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from unnmnmxssunu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (9\/(27\/24) + 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 7*k - 35 = 0. Let l(p) = -58*p - 77. Let b be l(k). Calculate the highest common divisor of 47 and b.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57071.\nAnswer: 7, 31, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + sqrt(72)))\/sqrt(3) + sqrt(36)\/sqrt(150))\/(sqrt(242) - (sqrt(242) + (sqrt(242) + -3*sqrt(242) - sqrt(242)))*6).\nAnswer: -9*sqrt(3)\/715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 78029233 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -218*v + 3*s + 493 - 57, -17*v + 8 = -13*v + 3*s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + b - 2. Let d be r(3). Let y = d - -43. Let u = 70 + -21. Calculate the remainder when u is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -15\/14, 74, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1066022.3 to the nearest 1000.\nAnswer: 1066000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62689 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -595 + 625. Suppose 0 = 5*v - 3*u + 6, u - 2 = -j*v + 27*v. Solve v = 2*f - 0*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 305 or -2\/2959?\nAnswer: -2\/2959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 4*d. Let h(i) = -i + 5. Let v(s) = 2*s**2 + 2*s - 24. Let r(a) = -2*h(a) - v(a). Give f(r(w)).\nAnswer: -8*w**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - j**2 + 2*j + 3. Let a be p(-2). Let k = 6 - a. Suppose 4*x + t - 37 = 0, 4*x + k*t - 39 = x. What is the smallest common multiple of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 288\/4*51\/459?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-144)\/(-45))\/(-4))\/((-232)\/(-19720)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 63 = 9. Suppose -5*g + 4*i + 87 = 0, 4*g + 66 = k*g - 2*i. Let d(a) = 72*a + 1. Calculate the remainder when d(1) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3276129*n**4 + 3401071 wrt n?\nAnswer: 13104516*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -16*k**2 + 180*k - 25. Give j(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 - 4*l**2 + 2*l - 12. Let v be b(-5). Solve 5*g + 4 = v*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 0*z - 11 = 4*r, -5*z = -r - 20. Suppose 0*j - z*j = 2640. Round j to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -5*g**2. Let w(m) = -6444*m. What is n(w(u))?\nAnswer: -207625680*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 575\/46*6*(21\/(-3))\/(-105)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5864.\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dfd when three letters picked without replacement from {x: 2, i: 2, m: 1, v: 1, f: 1, d: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46 + (16 - 30) + -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, x: 4, m: 1, c: 1, u: 1, k: 3}. What is prob of sequence xy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xuxy when four letters picked without replacement from {e: 1, x: 2, y: 1, d: 2, u: 2, i: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, g: 1, k: 3, z: 6, x: 5, p: 2}. What is prob of sequence zpze?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 4, a: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 210 + 226. Let q = f - 436. Solve -3*r - 3 - 9 = q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -4*g**3 + 45*g**2 + 15*g - 69. Determine t(11).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ippbibgbibbbibbb. Give prob of picking 1 g, 1 p, 1 i, and 1 b.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 619242 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 39491, 44, 4.\nAnswer: -4, -3, 4, 44, 39491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(99)*-6)**2 - ((3 + sqrt(99) + 1)**2 + sqrt(99)) - (3 + 1*sqrt(99)*-5).\nAnswer: -12*sqrt(11) + 3446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-4)\/(-272))\/((-1)\/(-6))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 0 + 15 + -182 + 150 + -11.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2418100 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22712 and 42752?\nAnswer: 726784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(1\/3))\/(v**(1\/3)*v)*v**(2\/9)\/v**(5\/2))\/(v**3\/v**(-1\/4)*(v*v*v*v\/v**(-1\/4)*v*v)**(-6)) assuming v is positive.\nAnswer: v**(1127\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 51 in 118\/3, 22, 0?\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 5*m + 211, -2*m - 3*m - 149 = -2*a. What is the remainder when a is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(192)*-2)\/sqrt(8) - sqrt(24)) + (2*sqrt(48))\/sqrt(2))\/(sqrt(1200)*1 - 5*(sqrt(12) - sqrt(48)\/sqrt(4) - sqrt(12))).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((2*sqrt(27))\/sqrt(9) - (sqrt(75) + 1))**2.\nAnswer: 6*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**3 + 9*u**2 + 18*u + 7. Let j be v(-3). Let n be 2\/j - (-1870)\/462. Suppose 0 = 2*g - g - 4. Do n and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in 1\/2, 4, 0.03, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) 2\/5  (c) 0.3  (d) -2  (e) 6  (f) -2096\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((10\/(-15))\/((-28)\/(-6))). Let z be ((-5)\/6)\/(n - (-78)\/12). Which is the third biggest value?  (a) -6  (b) 0.3  (c) 2  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1285934 to the power of 1\/2, to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 2*j - 354, 4*a - 468 = 271*j - 273*j. What is the remainder when 2060 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1198.6 - -1198.5. Let k = -13 + 7. Which is the second biggest value?  (a) g  (b) k  (c) -0.5  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 3*z - 7*z. Let w = -29 - -47. Suppose k - w = 2*c + 22, z*k + c = 200. What is the highest common divisor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of 7*b**2 - 4*b + 3. Let y be v(-7). Let w = -65 - y. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 36448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 10:50 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -f**5\/90 - 139*f**4\/2 - 173889*f**3 + 991*f**2. Determine a so that t(a) = 0.\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.11, -0.29, -0.2, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -22. Let x(w) = -w + 20*w**2 + 30 - 2*w**3 + w**3 - b. Let d be x(20). Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0\/3 + (-26)\/(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28185 - 309654\/11. Which is greater: 36 or q?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*k + 122*k + 31*k + 112*k - 188*k.\nAnswer: 223*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 155 + (-36 - (-131 + 116)).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 53187469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1475*i + 134 = 452*i + 134 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from rbmrm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*b + 18221 - 2565. What is the remainder when b is divided by 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -856*h**2 - 6885044*h**3 - 3941*h**2 + 6885046*h**3 + 0*h + 0*h + 2*h**3 + (2*h + h - h)*(4 - 4 + 2*h**2).\nAnswer: 8*h**3 - 4797*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 70*d + 1035. Is a(77) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s = -31*s. Let d be s + 0 + 5\/(-15). Suppose 5*o - 4*o = 4. What is the nearest to 1\/4 in 0.3, d, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149*h + 46 = -151*h. Let l(v) = 2*v**2 + 48*v + 41. Let w be l(h). Which is the second biggest value?  (a) 1\/5  (b) 2\/7  (c) 1.5  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -23. Factor -13*o**b - 55*o - 5*o + 18 + 2 - 22*o**2.\nAnswer: -5*(o + 2)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l - 2. Suppose 20*q + 10 = 22*q. Suppose 3*n = 2*n + q. Calculate i(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 436 - 431. Let f(m) = -5*m**3 - 4*m - 1. Let g(s) = 9*s**3 + 8*s + 1. Determine h*f(i) + 3*g(i).\nAnswer: 2*i**3 + 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14979, 14987, 14991, 14985, 14963, 14919, 14847, 14741?\nAnswer: 14595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of k**6\/33 + 36*k**5\/55 + 15*k**4\/22 - 68*k**3\/33 - 896. Solve u(f) = 0.\nAnswer: -17, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(306) + 2*sqrt(306))\/sqrt(6))\/((sqrt(24)\/sqrt(2))\/sqrt(4))*5)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-175)\/140*7\/5)\/((-27)\/(-48))\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1232939079.\nAnswer: 3, 136993231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from itpeyyezyzpppt. What is prob of picking 1 t and 1 p?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-125 - 67 - 26)*(3 - 4 + 2 + j).\nAnswer: -218*j - 218","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of -o**3\/2 - 6*o - 6. Let y(l) be the first derivative of r(l). Let d(a) = -3*a**2. Calculate d(y(g)).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6185979*q**3 + 7941532 wrt q?\nAnswer: 18557937*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 8*p + p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1129806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 6 = 19. Suppose -7 = -4*g - 5*b, -3*g + 33 = -2*g - 5*b. Let v = d + g. Solve 3*w = -2*n + v + 10, 4*w + 2*n = 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 148*f - 33*f + 224 + 1041 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -44*k**2 + 28*k. Let j(y) = -8*y**2 + 5*y. Suppose -5*l - o + 5*o + 20 = 0, 5*l = 5*o + 20. Suppose -l*i + 2 - 22 = 0. Calculate i*d(v) + 28*j(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 6*u + u. Are -143 and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9640056 divided by 6?\nAnswer: -1606676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2388*p - 12357 = 9135 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - r = -100. Let x(t) = 5*t**2 + 2 + 2*t**3 + 3*t - 3*t**3 + 3. Let k be x(5). What is the highest common factor of r and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3)*i*i*i\/(i\/(i**0\/i*i))*i*i*i)**(8\/7) assuming i is positive.\nAnswer: i**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 888152 by 2.\nAnswer: 444076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + n - 3*n)*(-4*n - 3*n - n)*(1 + 1 - 4)*(-22*n - 227*n - 194*n).\nAnswer: 14176*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mql when three letters picked without replacement from {n: 2, l: 2, q: 1, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 332 = -2*h - 2*h, -h - 103 = 4*x. Let u = 196 + h. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w = 9*w - 46. Suppose -2 = 5*q - 32. Calculate the remainder when w is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 490787 is divided by 32701?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + -2 - -18) + -3 + -40 + 3.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/(-28)*(-208)\/260?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 3*c - 1 + 2*c - 2*c**2 + c**2 + 5*c - 5*c + (-2*c - c + 0*c)*(-5*c + c + 3*c))*(6*c**2 + 0*c**2 - 10*c**2).\nAnswer: -8*c**4 + 8*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h**2 - 24*h - 15. Suppose 4 = 5*d - 4*i + 47, 4*i + 45 = -3*d. Let y be a(d). Calculate the highest common factor of 56 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -53?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + y**2 + y + 3. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/1 - (-10 - 10\/(-2)). Let l = 13 + t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 7, b: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1469 - -1846. What is the greatest common divisor of 78 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 5:03 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**2*f)**(1\/29)\/(f\/(f*f**(3\/2)*f)*((f*((f*f**10\/f)\/f)\/f)\/f*f)\/f*f) assuming f is positive.\nAnswer: f**(-375\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1054)\/42 + -6*15\/(-945) - -5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000489502732 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*k + 113*k = 1503. Suppose -5*x = 3*t - k, -7*t + 2*t + x + 835 = 0. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uddudguudpgpuuddudgd. What is prob of picking 2 g and 1 u?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8\/9*a**3 + 2\/9*a**5 + 0*a**2 - 8\/9*a**4 + 0 + 0*a = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11324 + 11326. Which is the nearest to 0.1?  (a) -17  (b) r  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -16*h**2 - 20*h - 8. Let g(s) = -158*s - 3633. Let i be g(-23). Let n(d) = d**2 + d. What is i*f(z) + 20*n(z)?\nAnswer: 4*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3\/5*n + 6\/5 - 3\/5*n**2 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 1, d: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 14.5892742.\nAnswer: 7.2946371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2941 + 301 = -165*n. Calculate the lowest common multiple of n and 2132.\nAnswer: 8528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*w - 3*q, 0 = q - 0*q + 4. Suppose -4*x + 12 = -8. Suppose 0*v - x*v = -50. What is the greatest common divisor of w and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22858.1341 times 0.4?\nAnswer: 9143.25364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -1\/72*d**6 + 1\/9*d**3 + 0*d - 3*d**2 + 5\/72*d**4 + 0 - 1\/90*d**5. Determine g so that v(g) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/692 - -35671\/7612. Find the common denominator of 89\/4 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4501, 18020, 40553, 72100, 112661, 162236, 220825?\nAnswer: 288428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -23*r - 2. Give g(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 11, y: 3}. Give prob of sequence ybbb.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 5*l - 109, -l = -5*j - 23 - 4. Suppose -4*o + 2 - l = 0. Put o, -4, -69, -1 in ascending order.\nAnswer: -69, o, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6018 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1 = -2*s - 6*y, 5*y = 3*s - 30. Suppose s*v + 8 - 23 = 0. Let k(q) = q**2 + 3*q - 3. Let r be k(2). Solve v*n + 4 = r*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -78838 and 519.\nAnswer: -40916922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + (sqrt(17) - (sqrt(51)\/sqrt(3)*4 - sqrt(17)) - (sqrt(17) + sqrt(272) + -1)))**2*-5*1.\nAnswer: -21050 - 1050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 1)*(-n + n - n**2) + 47*n**2 - 38*n**2 - 2*n - 5*n**2 - 5*n**2 - 23*n.\nAnswer: 2*n**2 - 25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**3 + 2*j**3 + 6*j**3)*(2 - 5*j**2 - 2) - j**5 - j**5 + 4*j**5.\nAnswer: -38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58 + -13. Let m = 72 - b. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 63, 97?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 2:31 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**6*y**2 + 27729*h**3*y**3 + 94*h**2*y**3 + 123*h**2*y - h*y**2 wrt h.\nAnswer: 360*h**3*y**2 + 166374*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 1648470 and -1265679.\nAnswer: 382791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 8:19 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8716, 3, 2, 0, 12, 4, 1 in decreasing order.\nAnswer: 12, 4, 3, 2, 1, 0, -8716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**4\/4 - s**3\/3 - s**2\/2 + 2*s + 288. What is a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 124 - 67 = -4*x, 0 = -4*r - 4*x - 48. Which is smaller: r or -220\/27?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -4*l + 13. Let m(i) = i - 1. Let n(d) = -j(d) - 6*m(d). Let b be n(-6). Suppose -4*r = -b*y + 62, 5*r = y + y - 18. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18602028 a multiple of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 1006\/3*u**2 - 112\/3*u + 760\/3*u**3 - 361\/3*u**4 = 0 for u.\nAnswer: -1, 1\/19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12812 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + x - 10*x)*(3 - 1 - 1).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/((-8)\/(-4)) + 922. Suppose 4 = r, m = -2*r - r + t. Is m a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/66, -5, 5\/2, -0.5, -1.\nAnswer: -5, -1, -0.5, 1\/66, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -3*p + 4. Let o be 1\/2 + 13\/(-2). Calculate the lowest common multiple of 8 and u(o).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 22680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 5:00 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 6.3375.\nAnswer: 6.4375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (sqrt(245)*1 + 2 - (0 + (sqrt(245) - (sqrt(245) + sqrt(245) + -3)))) + 0)*-2 + 2)**2.\nAnswer: -224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zpzxpxxp. Give prob of sequence xz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -5. Let o be 72\/(4 - 1) - x. Suppose 5*w = 5*r + 75, -2*w = -5*w - 3*r + o. What is the greatest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(2\/23)*z)\/z**(-1\/3))**(-11\/7) assuming z is positive.\nAnswer: z**(-1705\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*v**4 - 406630*v**2 - 8398172*v wrt v.\nAnswer: 60*v**2 - 813260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -5) + (-5 - -13) + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -729*k**2. Let h(x) = 5*x - 12. Let m(o) = -55*o + 135. Let l(d) = 45*h(d) + 4*m(d). What is l(w(j))?\nAnswer: -3645*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -120 (base 10) to base 7\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-2) - (4 + (-15)\/(-2)). Let x = 9 - q. Solve -5*h + 3*i = x, -3*h + i - 4 - 9 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.3 + -0.2. Let z = -80.97 + 82. Let x = 0.03 - z. Sort 2\/7, x, c.\nAnswer: x, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 536*y + 77*y**2 - 536*y.\nAnswer: 77*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -y**7\/1120 + y**6\/240 + y**5\/160 - y**4\/16 - 28*y**3\/3 + 3*y**2 - 84. Let f(j) be the third derivative of r(j). Factor f(s).\nAnswer: -3*(s - 2)*(s - 1)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 5*m, 0 = -3*m - 2*m + 2*s. Suppose -3*l = 2*b + 59, 5*b - 28 + 163 = -5*l. Let c be b\/36*-4 + (-9)\/3. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.146 and 0.0192.\nAnswer: -0.0028032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1115772617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 7*y = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**5*d**5*d)**(-28) assuming d is positive.\nAnswer: d**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-1*(-2)\/(-62))\/((-2428902)\/1792761))\/(1\/(-9))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11227836.8 minus 0.0365?\nAnswer: 11227836.7635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.79061 + -0.06739. Let d = 16 + -15.872. Let v = d + l. Round v to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/6 and 125\/414.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z + 4. Let i be j(1). Let o be 6\/5*10\/4. Solve i = o*g - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -12*3\/36*-3. Suppose -a = i - 35, v*a + 2 = 14. Let u = 67 - i. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56564 and 12252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 192995476 to the nearest integer?\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*t + 216 + 78 = 0. Let r(a) be the first derivative of 3*a**2\/2 + 18*a + 2. Let d be r(t). Solve u + 3*u + 4 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 3*h + 4. Let d(o) = o**3 - o + 4. Let b be d(0). Let i be s(b). Suppose -m + 15 = -i*m. Solve c + 0 = 5*p - 30, c - 2*p = -m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -129783*m**3 + 11*m**2 + 14*m - 10. Let n be l(-7). Round n to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g - 3*k + 4173 = -12*g, -7*g = -3*k - 9727. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*x + 15. Let p(g) = g + 5. Let j be p(-15). Let f = j - -12. Sort x, 4, f.\nAnswer: x, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/2 + 9\/2. Suppose a - 2*x - 35 + 3 = 0, -f*x = -5*a + 155. Suppose 3*h - h - a = 0. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 + 5*a**2 + 2*a + 4. Let t be g(4). Let q = -64 + 67. Suppose -z + t = q*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/7, 4, 0.1, -3, -97?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the second derivative of -13*c**5\/20 + c**4\/6 + 23*c**3\/3 - 68*c. Find the second derivative of u(y) wrt y.\nAnswer: -78*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 75*o - 134 + 2*o**2 - 26*o - 49*o as w + m*o + q*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2620 + 17487. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by (-395)\/(-474) - 103\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -574, -1956, -4654, -9106, -15750, -25024, -37366?\nAnswer: -53214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -956328296 and 0.\nAnswer: -956328296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*16\/(-24)*6 - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 810 = -0*x + 2*x, 5*i - 840 = -4*x. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -359 - -23477.\nAnswer: 23118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -4 + (2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 175126?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 159 divide 6990016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 32 = 4*f, -2*f - 3 - 3 = 0. Suppose q*i = -95 + 295. Calculate the remainder when -1 - (0 + -105 + 5) is divided by i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36.29735 - -36.3. Round x to four dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -170 - -167. Let s = -3 - 2. Let c = s + 5.4. Sort m, c, 0.03 in increasing order.\nAnswer: m, 0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*j = -8, 5*v - 4*j = 1 + 1. Let h = -153971 - -153973. Solve -v*d = 9 + 1, -5 = h*f - d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -68, -129, -188, -245?\n\"Answer: o**2 - 64*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 bigger than 891\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.9 or 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*w - 6030 + 6114 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2 + 1)*(-66*f + 9 + 19*f + 17*f) as b + c*f and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2146 * -148.\nAnswer: -317608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -6. Let m = 3.03 - 0.03. Let j = 0 - m. What is the third biggest value in 5, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120021011 - -20?\nAnswer: -120020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -75 - 31 + 106 - 1767*o as p*o + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/3*24\/(-24)*(-11)\/(-11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22220122010 (base 3) to base 5.\nAnswer: 21103142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -35*m - 176. Determine b(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*h + 90 = 0. What is the units digit of h\/27*-4*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 4*x + 2. Suppose -5 = -d - 3*p - 0, -3*d - 6 = 2*p. Let r be w(d). Suppose -c + r*c - 3 = 0. Solve 2*t = -4*f - 14, -4*f - 12 = f - c*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 104 = 2*q - 477, 5*p + 3*q - 1858 = 0. Let f = 551 - p. Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 113*h**3 + 3*h**2 - 36*h + 49. Does 33 divide m(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + 1 - 6) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/13 + 19462*u\/13 + 292380\/13.\nAnswer: -2*(u - 9746)*(u + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6\/361 or -24.698?\nAnswer: 6\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401065 is divided by 218.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f**2. Let x(m) = 26*m - 7*m - 8*m - 12*m. Give x(j(h)).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -625*x**2 + 417*x**2 + 313*x**2.\nAnswer: 105*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14896 and 3.\nAnswer: 44688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*n = 79*n - 72 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -103*u**3 - 1. Let m be b(-1). Let n = -54 + 121. Let x = m - n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 61344 and 3888?\nAnswer: 552096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 0. Let k = t - 0.6. Let j = 0.3 + k. What is the nearest to -1 in -3, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -0.1506?\nAnswer: -0.01506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2743 - -3064. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 4 + -2 + -3 + -62 + 54 + -43.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*r + 2*r - 5*r)*(3*r**2 - 2*r**2 + 0*r**2 + (5*r - 4*r - 3*r)*(-4 - 3*r + 4) - 4*r**2 - 5*r + 5*r) to k*r + t + m*r**3 + x*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of -v**3\/6 - 24*v - 214. Let a(n) = 114*n**2 - 5*n**2 - 2 - 20*n**2. Calculate j(a(h)).\nAnswer: -89*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 1\/3  (c) -14  (d) -2\/3  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4319*c + 134 - 134 - 2912*c as g + m*c and give m.\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/30)\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((-10)\/(-4)*(-2)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 66\/99 + 22\/3. Let l be 15\/84 - y*4\/(-56). Which is the closest to 2?  (a) 3  (b) -3\/8  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 291 (base 11) to base 8\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (26 - 13)) + 3 - 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0 + 2\/3*n**2 + 1\/3*n**3 = 0. Calculate n.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**2 + 2636*c + 922944.\nAnswer: -4*(c - 912)*(c + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1094 at least -1094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 2)**2 + 2 + 4 + (sqrt(99) + 5*sqrt(99) + -4)**2)*-3.\nAnswer: -10803 + 420*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 + 104. Let r(h) = 3*h**2 + 2*h - 2. Let u(p) = 10*p**2 + 7*p - 7. Let f(n) = -7*r(n) + 2*u(n). What is j(f(s))?\nAnswer: -s**4 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t + t + t)*(1 - 1 - 2*t**2) + t**3 - 2*t**3 + 2*t**3 + 3*t**3 - 5 - 544*t + 1224*t - 567*t to the form j + v*t**2 + i*t**3 + d*t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -13273 - 607?\nAnswer: -13881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 16 and 0.039.\nAnswer: 0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - 843\/(-27) - 4\/18. Is 2138\/18 + 6\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) -2\/23  (b) -1.1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/275 in -5, 3\/2, -6\/5, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -3*(4 + sqrt(28)*-2) + (sqrt(252) - 1*(sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252)*2)))) + 2 + sqrt(252) + sqrt(252)*1)**2.\nAnswer: -240*sqrt(7) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3431455 (base 6) to base 16.\nAnswer: -2acfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 - 37. Let s = n + 3. Let d(j) = 9*j**2 - s*j**2 + 10*j**2. Let l(o) = -6*o. Give l(d(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/11  (b) 65.7  (c) 2\/11  (d) 4  (e) -3\/23  (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t + 2. Suppose 0 = s - 283 + 276. Let y(i) = 17*i - 7. Let x(j) = s*r(j) + 2*y(j). Let f(o) = o + 119. What is f(x(c))?\nAnswer: -c + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80012828, 80012835, 80012842, 80012849, 80012856, 80012863?\nAnswer: 80012870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 18 = 4*w - 30, -18 = w + 4*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-333 - -306) + (9 - -55 - 6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*i + 2*i**4 + 30*i + 6*i**3 + 0*i**3 - 8*i**3 as o*i**2 + v*i**3 + q*i + j*i**4 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01503196 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 629, 5257, 17787, 42167, 82345, 142269, 225887?\n\"Answer: 658*z**3 + 3*z**2 + 13*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 + 12 = 8*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4510693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 21244189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 3*a + 6 = 1, 3*l - 7 = -a. Solve -6 - 2 = -l*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33311 (base 4) to base 5.\nAnswer: -13023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1147129781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -21022?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -189*a**2*q**2 - 11*q**2 with respect to a.\nAnswer: -378*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 23*d**2 - 22*d + 24. What is a(22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 480 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6467245 to the power of 1\/2, to the nearest integer?\nAnswer: 2543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 5*l = -7540, 0*p - 4*p = l - 6020. Suppose -2*a = 3*w + 1843, w - 3*a + 37 = -559. Let t = w + p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1664 and 4537?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18607 divided by -1?\nAnswer: -18607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -15 + 0*f**3 + 9*f**2 + 4*f - 13\/12*f**4. Let h(g) be the first derivative of i(g). What is the derivative of h(v) wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 10*d**3 + 430*d**2 + 235*d + 10109. Determine z(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222332102003 (base 4) to base 2.\nAnswer: -101010111110010010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11567405?\nAnswer: 5, 47, 49223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 78594265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -7903 divided by -44482?\nAnswer: 7903\/44482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 2:04 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 38151825 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, 482, 30.\nAnswer: 1, 2, 30, 482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -7, 29\/6, 0.4, 3, -22 in decreasing order.\nAnswer: 29\/6, 3, 0.4, -3\/4, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 2*z**2 + z - z. Let d(h) = h**3 + 5*h**2 - 6*h + 5. Let u be d(-6). Let i(x) = -2*x. Let w(o) = 2*o. Let l(s) = u*i(s) + 6*w(s). Give l(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 - (-55 - -106) - (67 - 0)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fkorrk. What is prob of picking 1 k, 2 r, and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 + 27 + 53*o + 65*o - 8*o**3 - 118*o.\nAnswer: -8*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 - -1100303?\nAnswer: 1100300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggggfgggggggggfgggg. Give prob of picking 2 g and 1 f.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-2)*2*4*(-210)\/3150?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - -20468?\nAnswer: 20474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s + 14. Let a be ((-25)\/3)\/((-790)\/474). What is g(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10230 + 1330220?\nAnswer: 2001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 2*v + 1. Let j be w(6). Suppose b = j + 5. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*y - 946 = 64 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 7*n + 4 = 0. Let s be n\/(-7) - 57\/(-21). Suppose 4*y - 20 = -0*y. Solve -s*g = 1 + y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3\/82 + -525\/902. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12371\/162 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 41 (base 7) to base 13\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 129, -451, -1419, -2775, -4519?\nAnswer: -6651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 9*a + 120. Let k = 22 + a. Calculate the remainder when k is divided by 10\/6 + (-1)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 364 = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 7*i + 9 = 0, 543*i = 4*q + 540*i - 19. Suppose 3*c - 23 = 79. Solve q*r + 3*v = 8, -3*r + 5*v + c = -1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/23143224 and 41\/2184.\nAnswer: 162002568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -6\/19*s**5 + 8\/19*s**2 - 14\/19*s**4 + 0*s**3 + 0*s + 0 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -278 = k - 273 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 105 - 2302000?\nAnswer: -2301451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -4*x**3 + 2*x**3 + 2*x**2 - x - 2 + 3*x**3. Let t be o(-2). Suppose 0 = 4*h - 10 + 2. Which is the biggest value?  (a) t  (b) h  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 27 = -4*m, -w + 18 = w - 2*m. Let n(o) = 4*o**2 - w*o**2 + 4*o + o**2. Suppose -12*f = -16*f + 12. Give n(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 616 and 2552?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -114332304?\nAnswer: 114332300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1429 is divided by 103?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/262 or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z + 11. Let n(h) = -h - 22. Let y be n(-16). Let t = y - -8. Suppose -t*c = -c. Calculate k(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -248*d**2 - 15 - 35*d - 6*d + 51*d - 10*d in the form w + f*d**2 + o*d and give f.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (866 - 1196 - 1190)*(0 - 1 - 2)*(1 + 2 - 5)*(-2*a**2 + 6*a**2 - 3*a**2).\nAnswer: -9120*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 145 - 79. Let m = -62 + l. Put 17, m, -0.5 in descending order.\nAnswer: 17, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 20*x - 1477. Let z(t) = -t + 75. Let f(y) = -3*k(y) - 59*z(y). Let m(h) be the first derivative of h**2\/2 - 6*h + 1. Determine 6*f(v) + 5*m(v).\nAnswer: -v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*h + 28 = 0. What is the remainder when 25 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (33\/12)\/((-4)\/(-144)). Suppose -4*s - 44 = -4*w, 0 = 5*w - 4*s + 13 - 68. Calculate the greatest common factor of w and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzznnnqqzqv. What is prob of sequence qnz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from ghqqqtqqqqhgthqgqqgh.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - a - a = -23, 0 = -5*f + 4*a + 29. Suppose 3*l = f*l. Let z be 4\/(4 + 0 + l). Sort 0, z, -4 in increasing order.\nAnswer: -4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4738, 4768, 4798, 4828, 4858?\nAnswer: 4888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 1. Let c(d) = -4*d**2 + d - 5. Determine c(x) + 3*k(x).\nAnswer: -4*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3 + 15 + 9*t + 4*t**3 + 9*t**2 - 12.\nAnswer: 3*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -721 - -3282. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8792 + -8791.8. Let o = 26 + -22. Which is the third biggest value?  (a) o  (b) m  (c) 0.3  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 5*w**2 - 6. Determine r(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -22367527 != -22367528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2010 + 2?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2241552 divided by 1394?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*w - 5*q, w + 4*q - 14 + 0 = 0. Let c(z) = -3*z + 5*z - 2*z + z + 1. Determine c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 2*t - 12, -2113*v = -2112*v + 5*t - 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 42277118.\nAnswer: 5\/42277118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 110 - 68*l + 205*l - 67*l - 72*l in the form n*l + u and give u.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5482\/17 or 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -65*c**2 + 97*c + 303. Determine t(-3).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - (-7 + -7 + -6)) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1408 and 848.\nAnswer: 74624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 11 = -31. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29285484 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a02 + -43a5?\nAnswer: -51a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*u = -3*y - 14*u - 5, 3*u = y + 20. Let w = 0.8 + 0.2. Let o = -21 - -20.6. What is the closest to w in o, 3, y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 - p. Let k(t) = -4*t**2 - 3*t + 2. Let c be (-2)\/(-6) - (-1092)\/(-36). Let s = 28 + c. What is s*o(r) + k(r)?\nAnswer: -2*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 9.9, 4 in ascending order.\nAnswer: -0.5, 4, 9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 11:10 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, 0, -85?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -343*r - 90549. Let q be a(-264). Find j, given that -49\/6 + 77\/6*j + 2\/3*j**q - 16\/3*j**2 = 0.\nAnswer: 1, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -626*d + 624*d - 356 = 0. Which is bigger: -174 or d?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-136)\/(-272)*((-2)\/(-10))\/(27\/225)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 462825 or 462824?\nAnswer: 462825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7128377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.9?  (a) 2\/17  (b) -2  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1711?\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -v**6\/6 - 195*v**4\/4 + 158*v**3\/3 + 2*v - 578. What is the third derivative of p(a) wrt a?\nAnswer: -60*a**2 - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/17))**(-49)*k**(1\/3)\/k*k*k*k\/(k*k**(9\/7)\/k)*k)**(-6) assuming k is positive.\nAnswer: k**(-3520\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096197 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.8455 * -0.5.\nAnswer: -2.92275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 21 = -r + 4*s, -36 = 2*r - 5*s. Let j = 40 - 42. Let x be ((-33)\/(-6) - -1)*j. Are r and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 15*j**4\/2 + 3*j**3 - 9*j**2\/2 = 0.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29646)\/(-854)*(377\/(-39) + 12).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3 = -7. Let w = 4 - o. Suppose -w*n - g = -6*g, n = 2*g + 1. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*k = -6 + 28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1107 and 1902023046?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 580.2 - 513. Let s = 67 - z. Which is the closest to 1\/3?  (a) s  (b) -0.05  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5.5 or -10593?\nAnswer: -10593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**2 + 3*l - 12. Let g be n(-14). Suppose -2*t = -z - 12, 8 = -4*z - 0. Suppose t*h - g = -4*r, 2*r = -0*r - h + 172. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -61\/3 in -5, 1\/7, 961?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -0.033079, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1009514 - 14056657 = -677*g - 1848209. What is the thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6192 is divided by 159?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 52 + i**4 - 3*i**2 - 25 - 2*i + 0*i**4 + 3*i**3 - 25 in the form o*i**3 + q + s*i + v*i**4 + x*i**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) -5  (c) 3  (d) 46  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - q = 16, -4*x - 4*q + 97 = 121. Sort 5, 2, x, -3 in ascending order.\nAnswer: x, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 317959005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -14*p + 4. Let x(q) = -18*q + 5. Suppose 0 = 86*t - 102*t - 48. Let l(j) = t*x(j) + 4*m(j). Let h(i) = -2*i**2. What is h(l(c))?\nAnswer: -8*c**2 + 8*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10101010 + 2?\nAnswer: -10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1437588 divided by 2916.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 6:58 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/65)\/(35\/(-350)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 5*j - 10 = 3*y, -20 = -3*y - j. Suppose -k - y = -2*b, 0 = -5*b + 3*k - 8*k + 35. Solve 3*g = -5*q - 34, 2 = q - g + b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -85\/2 and 128\/160 - 1566\/1095.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 5*x**2 - 4. Determine v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -69 divided by 23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2. Let n = -60 - 6. Let l = 65 + n. Let r(g) = -5*g**2 + 5*g + 6. Let j(p) = l*r(p) + 6*m(p). Solve j(a) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((160\/25)\/(-2))\/((-56)\/(-140))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14890 = 26*l - 36*l. Suppose 0 = 30*d - l - 1151. Calculate the least common multiple of 121 and d.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-6))\/((-1)\/4). Let r = m + 29\/12. Let t = 0 - -0.2. Which is the closest to r?  (a) t  (b) -1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203031 + 200121?\nAnswer: 1003212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06995 - 7.\nAnswer: -7.06995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 150 a factor of 629867400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40, 101, 176, 271, 392, 545, 736, 971?\n\"Answer: m**3 + m**2 + 51*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**3 - g**2 + g + 1. Let f(t) = 14*t**3 - 8*t**2 - 13*t - 54. Let v(s) = 2*a(s) - f(s). List the prime factors of v(-4).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2619.99995758 + 2620. Round g to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2515330123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31121841?\nAnswer: 3, 10373947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 16\/(-18)*3*-18. Calculate the greatest common divisor of 24 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 - 13. What is the second derivative of 3*f**2 + 5*f - 3*f**2 + v*f**3 - 13*f**3 wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -912 = -2*j - 6*j. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, 22, -402, -2, -3.\nAnswer: -402, -30, -3, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 9\/(2\/2) + -2. Suppose 5*a - 3*z - 1 = -v, 3*a + 3*z - 6 = 0. Let r be 1 + 40 - (a + 1). Calculate the highest common divisor of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -23*o + 2. Let l(t) = 68*t - 5. Calculate 8*c(w) + 3*l(w).\nAnswer: 20*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -52 + 44. Factor 0 + 2*c**2 + c**2 - c**2 - 4 - v*c.\nAnswer: 2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 7, -1, -820\/27, 1, -2\/7, 0, 2\/21?\nAnswer: -820\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2140053 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - y - 7, 4*y - y + 17 = 5*f. Suppose 0 = -4*q + 2*g - 0*g + 11760, -f*g = 8. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3 + 2*n**4 - 4\/7*n**5 + 0*n + 4\/7*n**2 + 0 = 0 for n.\nAnswer: 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -100 - -3e1505?\nAnswer: 3e1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**3\/3 - 1524*n**2 - 695520*n = 0.\nAnswer: -1656, -630, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((17\/17)\/(-1))\/(5\/5*(-2)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13389172 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -30*p**3 + p**2 - p. What is u(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 16) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.2, 0.044, 0.1, -4, -804, 2\/3?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -8638, -34561, -77766, -138253?\n\"Answer: -8641*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/27 + 1)\/((-6)\/(-180)*-35).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 630, 582, 536, 492, 450, 410, 372?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 57 + 0 = 2*b, 96 = 3*b - 2*w. Suppose -5*t + 130 - 30 = 0. Calculate the greatest common factor of b and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of 8*x**6\/5 + x**3\/2 - 13*x**2 - x - 12. Find the second derivative of d(q) wrt q.\nAnswer: 576*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*i - 3. Suppose 280 = -i*x + 7*x. Suppose 16*o - 13*o - 295 = -2*f, 2*f - 5*o - 255 = 0. What is the highest common factor of f and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1215 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 7*a**3 - 6*a**2 - 6*a + 2. Let t(v) = 15*v**3 - 13*v**2 - 13*v + 3. Let k(l) = 6*t(l) - 13*y(l). Give k(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 532 - 67*r + 532 - r**2 + 3*r**2 - 1599 + 533.\nAnswer: 2*r**2 - 67*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12)\/16)\/((-20)\/(-16)). Sort -0.2, u, 0.05 in decreasing order.\nAnswer: 0.05, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 + -0.2. Let s be (-34)\/(-10) - (-7 + 10). Suppose -7 - 13 = -0*i - 5*i. What is the nearest to s in 5, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -511412 (base 8) to base 9.\nAnswer: -276380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219964177.\nAnswer: 71, 383, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.9 - 2.4. Let b(h) = -h**3 - 9*h**2 + 9*h - 2. Let y be b(-10). Suppose -17*i + y = -13*i. Put i, -8, v in decreasing order.\nAnswer: i, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 + 88 - 2*d - 40.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -443 + 2?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -52280 divided by 10456?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/60*3*(-6)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -37 - 36 + 38 + 37 - 2*d. Let b(f) be the second derivative of f**3\/6 + 10*f. Let i = -6 - -4. What is i*b(t) + y(t)?\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-312)\/9)\/(-13) + 935\/(-330)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 8:20 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-3 - (-8 + 6 - -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -942 (base 11) to base 6\nAnswer: -5131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-216)\/(-2112)*23\/(828\/8)*-6?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of n**7\/35 - n**5\/15 - 3*n**2. What is the third derivative of r(g) wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -9 - 25934\/(-3706) - -2. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 j when four letters picked without replacement from jjjjdjjjdddddd.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 11*r**2 + 5*r. Let z(n) = -7 + 14 - 7 - 22*n**2 - 9*n. Let l(m) = -11*v(m) - 6*z(m). Does 7 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 532\/12628 + (-122)\/(-2501)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -25*q. Let o(j) = -2*j**2 + 18*j**2 + 5*j**2 - 14*j**2. Give o(x(i)).\nAnswer: 4375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3086.06 - 3157.0618. Let x = f - -71. What is x rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 12*n - 21. Determine a(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -6*f + 26. Let p be q(7). Let a be (p\/10)\/(6\/(-15)). Solve t = 2*t - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of -91\/3*k**3 - 3*k - 49 - 1\/10*k**5 + 0*k**4 + 0*k**2 + 7\/3*k**6. What is the second derivative of m(d) wrt d?\nAnswer: 840*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 + 1 - (-269 + 283)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o**2 - o - 3. Let d be z(2). Which is bigger: -3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-32)\/18 + (-6)\/27. Let a(x) = -3*x**3 - x**2 + 3*x + 3. Let l be a(w). Calculate the highest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 5*j - 16 = 3*k, 4*j - 12 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6468 + 5787 = 755*u - 565 - 15. Let o = 117 + 231. Suppose -2*n = n - o. Calculate the remainder when n is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 15404*w - 15400*w - 1, -n - 5*w = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 6 + 4)*(4*a - 6*a + 6*a)*(3 - 4 + 2)*(-140*a**2 - 17 + 283*a**2 - 145*a**2).\nAnswer: 32*a**3 + 272*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6249081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (40\/25 + -1)\/(((-34)\/(-1860))\/17) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**4 + 34*g**3 + 114*g**2 + 134*g + 52.\nAnswer: 2*(g + 1)**2*(g + 2)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from {z: 7, o: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**2 + 4*a - 2. Let w = -2 + 3. Let r be i(w). Let l(v) = -7*v + v + r*v. Let c(m) = -m**2. What is l(c(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -432*u**3 - u + 522.\nAnswer: -2592*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35414704\/13027 + -18\/1861. Let j = 2714 + l. Calculate the common denominator of j and -25\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**3 + 0*k + 0*k)*(k - k - 2*k**2) + 2*k**4 - 2*k**4 - k**5 + (16*k**2 + 57*k**2 - k**2)*(-3 + 3*k**3 + 3).\nAnswer: 213*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3231 - -3228. Let a be 1\/(-3) + 1580\/6. Find the common denominator of a\/(-30) - n\/(-9) and -47\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 p when four letters picked without replacement from ppppppppppppppppph.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes before 9:37 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmmjjmmcmqn. Give prob of sequence cn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 4070129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, h: 6, n: 7, a: 3}. Give prob of picking 2 n.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -88.414 rounded to 0 dps?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 5*m, -3*a + 4*m + 1011 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 1 = 3*g, 5*g + v - 47 = -2*v. Solve -4 = -4*q, 2*q - 5*q + g = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44.4367814 minus -0.0936?\nAnswer: 44.5303814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*p - p - 13 + 2*p.\nAnswer: -p - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*l = -21*l + 11*l + 800 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 55530, 55538, 55550, 55566?\n\"Answer: 2*g**2 + 2*g + 55526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 13 = -1. Suppose q + 0*g = 2*g + 3, -4*q = g - 3. Suppose -38*w + 0*w = -76. Put q, 0, v, w in increasing order.\nAnswer: 0, q, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -3*z + 35. Let p be n(12). Sort p, -5, 0, -2 in increasing order.\nAnswer: -5, -2, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4929772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/7, -10.5, -1.071, -9\/4, -3?\nAnswer: -1.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 376022904 divided by -12\nAnswer: -31335242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 207 - 2*d + 3*d**2 - 29 + 7 - 46 - 56 to a*d**2 + w + y*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2249134 divided by 99\nAnswer: -2249134\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/(-18))\/((-6)\/(-1371996)*-2). Let z = q + -25612. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 25. Let b(a) = 415939*a. Determine h(b(s)).\nAnswer: 173005251721*s**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -34*s**3 - s**2 + 6*s + 7. Calculate n(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -3*v. Let d be v\/((-1)\/1) - -3. Suppose 3*w = 45 - d. What is the remainder when 41 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10 and 348350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -15. Suppose i*l = 3*l + 20. Suppose 2*w + 0*w = l. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m**3\/2 + 27*m**2 - 20*m + 3. Let p be j(-16). Let b be 73\/3 + (-1)\/3. Calculate the highest common divisor of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -143.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -711955*w - 22 + 711610*w - 15 + 2 in the form d + r*w and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 418388 and 3110?\nAnswer: 650593340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((2 + -5)\/6)\/((-2)\/(-12)). Let t(z) = z**2 + 2*z. Let p be t(x). Factor p + 0*q - 3\/4*q**2.\nAnswer: -3*(q - 2)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes before 10:11 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 29*b**2 + 4*b + 61. Let p(k) = 82*k**2 + 11*k + 183. Determine -17*j(z) + 6*p(z).\nAnswer: -z**2 - 2*z + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2 + 13 + 1 + 7 - 14*y**2 wrt y?\nAnswer: -28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5101388?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b751 (base 14) in base 13?\nAnswer: -25b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.009+110.4465\nAnswer: 110.4375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111001101010011 (base 2) to base 8.\nAnswer: 71523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 397\/5 + 4\/(-10) 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 {c: 1, y: 1, r: 2, a: 2, j: 2, h: 1}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + 0 + -1 + 0. Let s be p + (-3 - -2987) - -4. Suppose 0 = n - 4, 3*n = 4*h - 0*n - s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12  (b) -9  (c) 90  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 450\/(-12)*(-4)\/3. Suppose -16*o = -14*o - s. Let f be ((-96)\/28)\/(-4) - (-60)\/28. Solve -f*k - 20 = -5*h + k, -5*k - o = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5 = -0. Suppose -h*b = -194 + 684. Let u = b - -365. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 + -13.46. Let m = a + 0.46056. Round m to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*d**2 + 3003 + 11*d**2 - 3003.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -142 + 50. Let c = q + 91.9999918. Round c to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44204 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 23310320023 - 10?\nAnswer: 23310320013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 9 - 7. Suppose -u = -5*x, 3*x - c*u = -u. Factor -5*j**3 - 4*j**3 - 3*j**4 + 12*j + x*j**4.\nAnswer: -3*j*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(242) - (sqrt(242)*2*1 - sqrt(242))) + -2*sqrt(242) + 4)*2)**2.\nAnswer: -6336*sqrt(2) + 35424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of i**3 - 17*i + 5*i - 2*i**3. Calculate c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h - 3*h)*(3*h - 5*h - 9*h) - 4 + 4 + h**2 - 59*h + 59*h - 20*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 23819.98605 - 23820. Round f to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2680\/2275 + (-4)\/14. Let u = a - 2469\/1820. Find the common denominator of u and 83\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + 0. Suppose -p + 10 = 4*p. Suppose 4*q = 3*u + 45, 4*q - 49 = u - p*u. Solve -4*r = q, -12 = -2*o + j*r + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 8*y - 7. Give k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 1 + 2. Suppose -r*m + 5*m = -y + 7, -4*m = 3*y - 19. Suppose -y*j + 9 = -4*j. Calculate the highest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 6*s**2 - 13*s - 7. Let u be k(8). Which is smaller: 14 or u?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p = 5*k - 1153, 0 = -2*p + 5*k + 25 + 298. Which is bigger: p or 128?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24967098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 25\/(-10) + 1\/(-2). Let q be (-2)\/3*z\/(-7). Let o(s) = s**3 + 6*s**2 - 1. Let r be o(-6). Is q > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2090, -2\/13 in decreasing order.\nAnswer: 2090, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -32*c**3 + 10*c**3 + 6*c**2 + 5*c**4 + 4*c**2 - 4*c**4 wrt c.\nAnswer: 24*c - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 180\/25)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 3. Let g(x) = 3*x + 14. Let u(t) = 2*g(t) - 9*i(t). Let c(d) = 3*d - 1. What is -3*c(h) - 4*u(h)?\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*c**2 - 15*c**2 - 8*c**2 + 58*c**2 - 20*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8080612 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ffffdddfddddf.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 4*r**2 + 4*r + 1. Let g(s) = 2*s**3 - 8*s**2 - 8*s - 1. Let h(b) = 6*g(b) + 13*k(b). Let a = 25 + -20. Give h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 213210.\nAnswer: 2, 3, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -19*c**3 + 1. Determine v(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (((-2037)\/(-1))\/(-1))\/(2 + -3). Let w(f) = -2037 + v - 12*f. Let r(u) = -u. Give w(r(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*z - 35 = 2*z, -3*q = 5*z + 19. Let k be (0 - q)\/(0 + 2). Let b(a) = a + 4 - k. Let i(c) = 4*c. Calculate b(i(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*h**3)*(4 - 3 + 7 + 3 - 3 - 2 + (3 - 4 + 0)*(-3 + 3 - 6))*(2*h - h + 2*h).\nAnswer: -72*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 11627*j**2 + j + 3. Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 39689 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -17. Let i = -2 - x. Calculate the least common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 54*b - 1\/16*b**4 + 3\/2*b**3 + 1 - 27\/2*b**2. Factor l(i).\nAnswer: -(i - 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (11\/((-11)\/62))\/(1 + -3). Suppose -20*x - 55 = -c*x. What is the third smallest value in -3\/2, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, 1, 10, -57, 0.0844, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5ec9 (base 15) to base 2.\nAnswer: 100111011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 5*w + 23, 2*y + 4*w = -y + 14. Suppose -a - 3*p = -y, 4*p - 4 = -0*p. What are the prime factors of -26*a*21\/(-18)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 974523, 1947622, 2920721, 3893820, 4866919?\nAnswer: 5840018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -290160 divided by 4464?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 334*a**3 + 2*a**2 - 334*a wrt a.\nAnswer: 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of k**3*u**3 + 262*k**3 + 2*k**2*u**3 - 391*k*u**3 - 2272*k*u**2 wrt u.\nAnswer: 6*k**3 + 12*k**2 - 2346*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/2124423 and -47\/2158144.\nAnswer: 135963072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.106 + 0.306. Sort -1\/3, -0.2, z in increasing order.\nAnswer: -1\/3, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56223.\nAnswer: 3, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-52)\/(-78) + 148\/(-6). Let l(g) = -g + 67. Does 21 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.6866067 and -85.64?\nAnswer: 87.3266067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.22091236 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*j**2 + 619*j**2 - 126*j**2 to i*j**2 + f + o*j and give i.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 9) + -8 + -1 + 131 + -105?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-2\/23)\/r**(-2\/13)*r**5\/(r\/r**(1\/2)*r) assuming r is positive.\nAnswer: r**(2133\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3475 and -6.75.\nAnswer: -3481.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 1, -1, 1\/2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 1\/8, -2\/7, 637, 12, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4141918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 9:45 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124*v - 18 = 115*v. Factor 1\/2*r**4 + 0 + 0*r + r**v + 3\/2*r**3.\nAnswer: r**2*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*c - 1 = -23*c. Let d(x) = -21*x**3 - x**2 + 1. What is d(c)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -189357420 divided by -190?\nAnswer: 996618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2204 divided by -4?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100304*x**2 + 1969*x**3 - 100304*x**2.\nAnswer: 1969*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9907801 is divided by 85412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 890862 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/2)\/(4\/(-15592)). Is (a\/(-2))\/((15\/(-6))\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -2, 0.3, 7444\/559 in ascending order.\nAnswer: -2, 2\/13, 0.3, 7444\/559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 267278261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -152142 + 54?\nAnswer: -152044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/8 - 14\/(-4). Solve s*u + 0*u - 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -1\/5, 5767, 2\/3, -1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w - 10. Let g be l(15). Solve o + 5 = 2*v + 2*o, v = -g*o - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1410 + 22?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 411870.7ml in litres?\nAnswer: 411.8707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 660963 and 1749?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/2 + -1)*1. Suppose -3*b + h = 3, -2*b = 2*d. Let o be (d + (1 - -8))\/2. Solve -q + o*q = 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1197 is divided by 597?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -8*n. Let m(r) = 4*r**2 + 2*r**2 - r**2 - 7*r**2. What is q(m(l))?\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 - 112\/(-6) - 28\/(-21).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 + -11 + 22 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 8:24 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (16\/6)\/(6\/9). Let n(r) = -r**3 + 3*r**2 + 12*r + 5. List the prime factors of n(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8983443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 241*d**3 - 2*d**2 + 10?\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36071.0758 rounded to the nearest integer?\nAnswer: 36071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -109 + 31 - 13*f + 25 + 0*f. Let b be t(-13). What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*c + 44 = -4*y - 14*c, -3*c = -y - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.54 + -1.54. What is the third smallest value in -0.3, -32, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*d + 2*d - 13*d + (-1 - 1 + 7)*(d - 2*d + 0*d + d + 0*d + 5*d + 0*d - 3*d + 4*d + (d + 0*d - 2*d)*(1 - 2 + 0) + 2*d + d - 2*d) as k + x*d and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32759561 to the nearest integer?\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 154 - 108. Suppose 176 + y = 3*h. Let u = 103 - h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(3\/2))\/o*o\/(o*o**(-1\/3)\/o)*((o\/(o\/((o**2*o)\/o)*o))\/o)**(3\/23) assuming o is positive.\nAnswer: o**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 696 + 4?\nAnswer: 69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/8)\/j**(-17) assuming j is positive.\nAnswer: j**(135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + 3)\/(-4) + (-2)\/(-17). Suppose 0 = -5*m + 16 - 1. Is m at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 5*l**2\/2 + 1. Let d(x) = -9*x - 64. Let m(b) = -145*b - 1040. Let j(v) = -65*d(v) + 4*m(v). Determine j(g(w)).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -72e11439 - -5?\nAnswer: -72e11434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -1. Suppose 4*o = 5*o - x. Suppose o*z = 2*z + 5. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.8, -2, -0.5, 2\/11, -0.671, -163?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -10*w + 4*n, 105*n - 103*n + 36 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: a (base 12) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -28 + 14 + -4 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.5 - -1. Let h = 16647 + -16657. Sort -5, h, z in descending order.\nAnswer: z, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -52756, -211254, -475404, -845194, -1320612?\n\"Answer: 2*c**3 - 52838*c**2 + 2*c + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -6264 at most as big as 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12645821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in -3\/4, 27779, -577?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -12*m. Let l(h) = h - 10. Let a(i) = -69*i + 150. Let y(x) = -a(x) - 15*l(x). Calculate n(y(o)).\nAnswer: -648*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/10 + 29 + (-3597)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2837*v**2 - 1894?\nAnswer: -5674*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 497, -18 in descending order.\nAnswer: 497, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from jrrcrbrrcrrjrrbjrjcj?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 11*t + 104. Let z(j) = 7*j + 52. Let r(h) = -4*x(h) + 7*z(h). Let i be r(11). Which is the biggest value?  (a) i  (b) 0.09  (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(7\/4))\/h*h**(-10))\/(h**11\/h**(-12)) assuming h is positive.\nAnswer: h**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65 - -65. Suppose 0 = 5*g + 2*j - u*j - 82, 2*g + 4*j - 36 = 0. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 779928727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*m**2*o**5 - m**2*o - 5*m*o - 2686*o**5 - 2*o wrt o.\nAnswer: -40*m**2*o**3 - 53720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 490, 1799, 3982, 7039, 10970?\nAnswer: 15775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 254274299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -544.85 + 484. Let s = -0.15 + o. Which is bigger: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2 - d**3 + 3 + 2*d - 2*d**3 - 2. Let y be v(1). Let x(w) = w**2 + 3 - 3. Determine x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1079 is divided by 51?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 166858552 + -0.1\nAnswer: 166858551.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 10*d**2 + 5*d - 8. Let p be f(9). Let s be 9\/6*p + -1. What is s rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1662*i - 4981*i + 1724*i - 4 + 4 + 1720*i.\nAnswer: 125*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -14161, -14176, -14191, -14206, -14221?\n\"Answer: -15*w - 14146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 21841*y - 3028. Is u(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -46, -2, 40, 80, 118?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*p - p - 3*p)*(-3 + 0 + 1) + 3*p - 8*p - p + (-4*p + 2*p + 0*p)*(-3 + 0 + 1) - 4 + 4 + 3*p to l*p + u and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g - 4. Let b be w(-4). Let x be (1\/(-3) + b)*3. What is the closest to x in -3\/4, -1\/5, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 133, -139, -2.\nAnswer: -139, -20, -2, 133","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - w - 39. What are the prime factors of ((-10)\/4)\/(w\/(-234))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(128) - sqrt(128)*-3)**2 - -3*(-2 + sqrt(2))).\nAnswer: 3*sqrt(2) + 2045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of x**4\/8 + x**3\/4 - 3*x**2\/2 + 2*x - 4. Let r(p) be the first derivative of y(p). Determine u, given that r(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-5)\/5)\/((-1)\/(-3)). Let q = -0.15349 - -0.03349. Which is the second smallest value?  (a) q  (b) f  (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 8*z**2 + z + 3. Let s be c(8). Let t = 18 - s. Let w(j) = 2*j**2 + 8*j + 9. Is w(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19\/3 - 6. Is 5 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/81 and -1\/3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i + 0*i - 6*i - 3 + 6.\nAnswer: -7*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1599811 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 2*j**5\/11 - 258*j**4\/11 + 3778*j**3\/11 - 18598*j**2\/11 + 33156*j\/11 - 18080\/11 = 0.\nAnswer: 1, 2, 5, 8, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 2:42 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 5*o = -444 + 431, 2*o = -4*i - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 11*f + 30. Let u be z(-9). Calculate the remainder when 77 is divided by (1\/3)\/(1\/u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 5*w**2 - 5*w - 6. Let i be a(-4). Let z be (i\/(-5))\/(2\/5). Let s be (-18)\/(-4)*3\/9. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-7)\/(v*v\/v**(4\/3))*v\/v**(-2)*v**(-7\/6) assuming v is positive.\nAnswer: v**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4 - 1)\/((-32)\/336). Let f = h - 51. Factor -3\/2*i**2 + 0*i + 0 - f*i**5 - 9\/2*i**3 - 9\/2*i**4.\nAnswer: -3*i**2*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -74333.7\nAnswer: 371668.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63 = -149*n + 86*n. Let v(r) = -4*r**2 - 2*r + 1. Let t be v(1). Which is the closest to n?  (a) t  (b) 2\/7  (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 5*m**2 - 6*m - 5. Let g be 50\/70 + 4\/14. Let t = -5 + g. Give j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 4. Calculate the common denominator of 119\/30 and -4 - n - 42\/(-45).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10, s: 2}. Give prob of sequence iisi.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 minus 195310?\nAnswer: -195282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 6, x: 1, i: 1, n: 3, e: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13142 = 194*z - 3026 + 2106 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 18173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*u + 81*u = -864 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1696 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: Find the third derivative of -313955*m*u**3*y - 2*m*u**2*y + 32*m*u**2 - 7*m + 10*u**4*y + 3*u*y + 578*y wrt u.\nAnswer: -1883730*m*y + 240*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2 - 4*d + 14160. Let b be h(0). Suppose b = 5*c - 3340. Round c to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 2*m = -3*m - 13, 4*r = -3*m - 10. Sort 4, 10, r, 1.\nAnswer: r, 1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -19 + 12 + 4553 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/6)\/(450\/40)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 6*n**3 + n**2 - 15*n**3 + 7*n**3 + 4*n**3 + 2*n in the form g*n + m + l*n**3 + u*n**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 34*t**2 + 7. Let d(l) = 13*l**2 - 8*l + 19. Let y(c) = -27*c**2 + 14*c - 34. Let g(a) = -7*d(a) - 4*y(a). Give -5*g(x) + 2*w(x).\nAnswer: -17*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*y**3*z**2 - 17*y**3 + 2*y**2*z**2 - 2*y*z**2 - 33*z**2 - 22*z wrt y?\nAnswer: -30*y*z**2 - 102*y + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17018 and 98557?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304 = -71*o + 162 - 497 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*x**2 + 7*x**2 + x**2 + (-6*x + x + 3*x)*(-6*x + 3*x + 2*x) + x**2 - 3*x**2 + 4*x**2 + 2*x**2 - 3 + 3.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-30 - -38 - -17)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (28\/14)\/((3\/(-1))\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40)\/(-12)*(252\/(-5))\/4. Suppose 64*z + 1763 = 21*z. Which is greater: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 5*t. Let d(w) be the second derivative of -1\/6*w**4 - w + t + 0*w**2 + 0*w**3. Let m(c) = 2*c. Give d(m(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90275693 is divided by 11747.\nAnswer: 11745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*j + 271 - 223 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3 + 0 - 5*l - 1. Does 16 divide h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 1:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1539) + 1*sqrt(1539) + 1) - ((((sqrt(1539) + -1)*-5)**2 - sqrt(1539)) + (sqrt(1539) + 0 + sqrt(1539))**2*4)) + -1.\nAnswer: -63122 + 513*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + 6298?\nAnswer: 62a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -7*m**3 - 3\/32*m**4 + 0*m + 0*m**2 + 2 - 1\/80*m**5 - 1\/1440*m**6. Let i(y) be the third derivative of b(y). Factor i(t).\nAnswer: -(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkbiblblk. What is prob of sequence lb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 474240 and 10032?\nAnswer: 5216640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22554 and 882.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkyyyxygxokyyygykg. Give prob of sequence ky.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d**3 - 4*d + 4. Let m be 4\/(-22)*((-9 - -15) + -17). Calculate h(m).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u = 5726 - 1146. Let c = u + -184. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6348656660 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 6705*d - 256. What is the tens digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 230 + 233 - 447 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000008213 to seven dps.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x = 4*r - 32, -5*r = -x - 3*x - 41 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -90*t - 255. Let o be k(-10). Suppose 1635 = 2*c - o. Does 60 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 2*g + 33. What is the third derivative of -35*h**g + 2*h**2 + 8*h**5 - 3*h**5 + 0*h**5 wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 5, 4*v - 3*v = -2*k - 9. What is the nearest to 1 in -0.4, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*o + 40*o + 6*o to the form h + d*o and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 50cd0e1?\nAnswer: -50cd0e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -6*r**3 - 21*r. Let v(l) = -l**3 + 12*l**2 + 208*l - 2430. Let b be v(11). Let m(p) = 2*p - p**3 - p - 5*p. Determine b*m(i) + 4*g(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56910 or -2?\nAnswer: -56910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -162, -1, 1\/6, -3\/1139?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -7. Let z(u) = -u**3 + 4*u**2 + u. List the prime factors of z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 - (-2 + -11*8))\/1. Suppose -m = -4*l - r, 4*l - 5*r = l + 38. Calculate the remainder when 65 is divided by l + (0 - (-3 + 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2\/7 + 794*c\/7 + 10812.\nAnswer: 2*(c + 159)*(c + 238)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (20\/590)\/((-1)\/(0 - 1)). Does m = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 18\/10 - (-374)\/85.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*a**2*c**2*s - 2*a**2*c*s - 3*a*c*s - a*c + 72255*c**2*s - 349*c*s wrt c?\nAnswer: -22*a**2*s + 144510*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i**(-2\/3)\/i))**(-20)*(i\/(((i\/(i*i*i**(-2)))\/i)\/i))**(2\/25) assuming i is positive.\nAnswer: i**(-3988\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-17)*((o*o**(1\/7)*o)\/o)\/o*o)\/((((o*(o\/o**(-17)*o)\/o*o)\/o)\/o*o*o)\/(o**19\/o)) assuming o is positive.\nAnswer: o**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 5*t + 2. Let a be d(-5). Let v(y) = 0*y**a - 6*y**2 - 4*y**2 + 3*y**2. Let m(i) = -i. Give v(m(b)).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 + 0 + (-144)\/187. Let z = r - -10\/17. Let d = 12 + -8. Which is the third smallest value?  (a) 1\/7  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2 + 16*s + 15. Let g = 108 + -94. Is h(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llllllllblbllllblbl. What is prob of sequence ll?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/140)\/((-4)\/10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 166 = -2. Let y be ((-329)\/g*3)\/((-1)\/(-2)). Suppose 0 = 2*p - 29 + 121. Which is bigger: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2972654*d*t**3 + 23*d + 58314*t**2 wrt t?\nAnswer: 17835924*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.071, -3\/4, -1\/6, 1\/4, -28\/9, -27?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 171630\/24 - ((-72)\/(-32) - 4). Calculate the highest common divisor of w and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 8*i - 9. Let n be p(9). Let q(r) be the first derivative of 0*r + 2\/3*r**3 + 2 + n*r**2. Let x(b) = -3*b. Determine x(q(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -53, -414, -1393, -3302, -6453, -11158, -17729?\n\"Answer: -52*c**3 + 3*c**2 - 6*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 318311 is divided by 26524.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -18. Differentiate -x**4 - 10 - 1 - 9*x**b wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-1)\/(-14)*20\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*z + 2. Suppose 0 = 924*m - 919*m - 50. Solve 3*v - k = -m, -2 = z*v + 4*k - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**3 - 212*o + 39 + 213*o - 2*o**3 to l*o**3 + z + j*o**2 + p*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93.87207l to millilitres.\nAnswer: 93872.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -j - 4*y + 36, 5*j - y = 75. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 8:06 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 9218*j. Let m(t) = -2*t**2. What is r(m(g))?\nAnswer: -18436*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(252))*6.\nAnswer: -30 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 112.1 - 112. What is the smallest value in -1\/22, 0.5, 2, h?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4206389.\nAnswer: 11, 43, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*i**2 - 24 - 3*i**2 + 2*i**2 + 3*i - 20*i**2 - 5*i**2 to the form z + v*i**2 + y*i and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*r + 1369*r - 60*r to the form k*r + s and give k.\nAnswer: 1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8313 - -8333. Let x(w) = -8*w - 1. Let a be x(-1). Let u = -5 + a. Calculate the smallest common multiple of d and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(45) + sqrt(45) + (sqrt(225)\/sqrt(5))**2 + 3) - -3*3*sqrt(125)*5.\nAnswer: 240 + 255*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + r + 1)*(3*r**4 - 10*r**4 + 4*r**4)*(2 - 3 + 0).\nAnswer: 3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4201*n - 6445 = -3287*n - 25639 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 6 = -6*u. What are the prime factors of u\/((-116)\/38 - -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i + 14. Let t be g(8). Let x be 2\/1 - 8\/(-4). Suppose w = x*w - t. Solve w*c + 6 = -0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 2 = -5*g - 3, m - 5 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -141 - -146. Suppose -4*i + i = 5*h + 35, 4*h + i = -21. Sort h, d, -3 in increasing order.\nAnswer: h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -544802, -544757, -544712?\n\"Answer: 45*d - 544847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 77439, 77488, 77537, 77586?\n\"Answer: 49*i + 77390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3517.05202 - -3517. Let b = -29.05177 - t. Let k = -29 - b. Round k to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) -0.05  (c) 0.03  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1392, -1390, -1388, -1386?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1458.6 - -1330. Let j = 140 + g. Let p = j + 49.6. Which is bigger: p or -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 4)*140\/15. Let r = 31 - c. Suppose -5*u = r*j - 44, -3*u + 2*j + 40 = -3*j. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*n + 1036 - 2428 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3657*u + 3657*u + 1019*u**2.\nAnswer: 1019*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1624 - 1920. Let u = -293 - i. Let q be 70\/96 - (-2)\/(-3). Sort 1, u, q in decreasing order.\nAnswer: u, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 3. Suppose p + 4 = 2, 0 = 3*f - q*p - 2. Let t(s) = 9*s**3 - s**2 - 2*s - 2. Let w be t(f). What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*c**2 + 125*c**5 + 3*c**6 - 125*c**5 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 49 - -1?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -2\/11  (c) 3  (d) -3  (e) 104\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-231*g - 1 + 248*g + 2)*(-g**3 - g**4 + g**3) + 16*g**2 - 16*g**2 - g**5.\nAnswer: -18*g**5 - g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48 - (22 - 6) - (-2 - 7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13\/4 or 2\/5737?\nAnswer: 2\/5737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -a**4\/6 + 35*a**3\/6 - 19*a**2\/2 + 5*a - 17. Calculate the remainder when x(16) is divided by 12\/(-2)*2\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 3*i + 12. Let p be l(12). What is the common denominator of -109\/22 and (3*1)\/(p\/(-15))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1004 - 995. Solve 3*o = 5*k - 22 + 26, -3*k = -4*o + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*x**4 + 77*x + 105.\nAnswer: -24*x**3 + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -53958.09 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*(5*h**5 - 2*h**5 - 2*h**5) + (-4*h**3 - 2*h**3 - 2*h**3)*(-2*h**2 - h + h).\nAnswer: 15*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uvvvnnnvvnuuuuvrnn. Give prob of picking 2 u and 1 v.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c\/(c\/(c*c**(1\/49)*c)))**(-31))**(12\/11))**(3\/10))**(-21) assuming c is positive.\nAnswer: c**(247752\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1282530 is divided by 111?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -41 - (-15 + -27) - (21 - 5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 5:27 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i**2 - 10667*i - 42522. Give c(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - m - 151596*m**2 + 151594*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 - -263104817?\nAnswer: 263104827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175*h + 45 = -166*h. Suppose 40*y = h*y + 2555. What is the remainder when 85 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 6 = d. Let h = d + 10. Suppose 0 = -0*y - 4*y + w + 12, y - h*w - 3 = 0. Solve 5*x = 4*x + y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -34*l - 6. Let w(d) = 375*d + 65. Let o(z) = 65*q(z) + 6*w(z). Let y(t) = 8*t**2. Calculate y(o(r)).\nAnswer: 12800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1942.\nAnswer: 2, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 10512*a - 20027*a - 4243*a as q + k*a and give k.\nAnswer: -13758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -14*n. Let u(a) = 4*a**2. Determine u(g(x)).\nAnswer: 784*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25341 + 32139. What is the greatest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 31 = 3*g - 0*n, -46 = -4*g + 2*n. What is the third derivative of 50*y**3 - y - 108*y**3 - g*y**3 + 19*y**2 wrt y?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 73 and 18.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 17 - 3 = 0, 0 = 2*r + 4*p + 50. Let l(y) = -y**3 - 18*y**2 - 17*y + 3. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.3 + -3.3000017. Round h to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = s + 232, -5*t + 11*s + 290 = 8*s. Suppose t*d - 16 - 100 = 0. Solve -h - 9 = -d*u, u - 3*u + 4 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**2 - 7*j + 28. Let q be x(7). Let s = 50 - 42. What is the greatest common factor of s and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 865040 divided by 19660\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13316 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33155 - -1533?\nAnswer: -31222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*l**2*s*w - 23289*l**2*s + 2*l**2*w - 19*l**2 + 149*l*s*w + 2*l*w + 5*l - 3*s*w + 5430*w wrt l.\nAnswer: 10*s*w - 46578*s + 4*w - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1165498 divided by -2?\nAnswer: 582749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*-4 + (-14)\/((-84)\/18). Let u be 32\/12 - (-1 + 3). What is the biggest value in u, 0.4, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53051101 (base 6) to base 10.\nAnswer: 1546381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21514\/33 - -652. Suppose 5*t + 8*z - 20 = 3*z, -4*t - 3*z = -11. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 422754.1057 to the nearest ten thousand.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6433 + -1?\nAnswer: -6434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1011101010001110111 (base 2) to base 15\nAnswer: -78316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 56.2 - 54. Let d = 13.3389 + -15.53890075. Let j = q + d. What is j rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of l**3\/3 - l**2\/2 - l + 1. Let z be r(0). Calculate the lowest common multiple of 9 and 0 + z - 1*-8.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17673*z + 76116 - 17676*z + 76117 - 152233.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2705, 21028, 70735, 167510, 327037, 565000?\n\"Answer: 2614*r**3 + 8*r**2 + r + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 167754, 335513, 503272, 671031?\n\"Answer: 167759*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 42745764 and 922?\nAnswer: 42745764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -23744134 - 28697?\nAnswer: -23772831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.07199999 + -0.072. What is v rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 - 472*y**3 + 4*y**2 - y**2 + 311*y**3.\nAnswer: -161*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 14*v + 15. Let n be l(13). Suppose -n*q + 4 = 14. Let t(z) = -35*z - 12. Is t(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, -5, 0.2, -0.3, 1.58 in decreasing order.\nAnswer: 1.58, 0.2, -2\/13, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r - 29*r + 16 + 2*r. What are the prime factors of i(-10)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -705, -757, -851, -993, -1189, -1445, -1767?\n\"Answer: -q**3 - 15*q**2 - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 1147.41?\nAnswer: 1147.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 o when three letters picked without replacement from {t: 1, n: 2, u: 2, o: 2, v: 4, m: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299005607?\nAnswer: 379, 788933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-112)\/(-64))\/((-22)\/(-88))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/54, -1, -1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(-1\/15)*r*r)\/(r\/((r\/(r**9*r))\/r)))**43 assuming r is positive.\nAnswer: r**(-5203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v**3 + 2428*v - 2428*v.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -650041320 rounded to the nearest 1000000?\nAnswer: -650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8253*q**2 + 63127*q wrt q.\nAnswer: 16506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxlxlxxxxxxxllxx?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of -f**6\/40 - f**5\/30 + f**4\/12 - f**3\/6 + 23*f**2. Let h be 7 - ((-55)\/(-10) + -6)*-12. Calculate x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 85?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**2\/5 - 295308*v\/5 + 8547112 = 0. Calculate v.\nAnswer: 145, 73682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 742734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 212.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 142901276416.000001596 - 142901276087. Let l = i - 329. Round l to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42701750?\nAnswer: 2, 5, 7, 13, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.6 and -202.234692?\nAnswer: 200.634692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22.02 + 24.626. Round k to one dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 532  (b) -4\/9  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1317)\/4 + (-60)\/80. Let f = 596 + o. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29)\/(-116))\/((-3)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*h**2 + 2544*h - 39432.\nAnswer: -6*h + 2544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 64826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (((-1160)\/(-87))\/(-20))\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffyfgyfyfyyffgf. What is prob of picking 1 g and 2 f?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 145188 and 35187.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-5*(3 + 3 + sqrt(2736) + (sqrt(2736) + 1)*2 + sqrt(2736) + -3)*-3)**2.\nAnswer: 2700000*sqrt(19) + 246380625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w. Let j(s) = -s**2 - 11*s - 8. Let a be j(-4). Let i(c) = -42*c - a*c + 82*c - 46*c. Give z(i(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.4 - -152.6. Let y = d - 154.95. Round y to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 9*m**2 - 11*m + 14. Let d be (-9)\/(-2) - (-27)\/18. List the prime factors of v(d).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**2\/4 - 1602360*l - 3204715.\nAnswer: -5*(l + 2)*(l + 1281886)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 646.999 litres?\nAnswer: 646999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 20*v**2 + 55*v - 14. Let x be m(-13). Let u = -457 + x. Sort 5, -23, u, -4.\nAnswer: -23, -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225864180 a multiple of 435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/17)\/k**(-3\/5))\/(k**(-2)*k*k)**(-2\/31))\/((k**(-1\/2))**(36\/7)\/((k**(-2)\/k)\/(k**6*k))) assuming k is positive.\nAnswer: k**(-4133\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 31, 112, 247, 436, 679?\n\"Answer: 27*w**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -6. Suppose 0 = -0*f - 2*f + 4. What is the greatest common divisor of s and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-576)\/(-1920)*(-10)\/36?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -972 - -971. Let v = -683\/5 - -137. Which is the nearest to -1?  (a) -5  (b) v  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-16)*(28\/(-6) - -2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = g - 4. Let s = g - -2. What is the units digit of 1\/(1\/2 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 139196223 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 32*q - 63. What is the hundreds digit of v(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 60369832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 25\/4 of a day?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -70*q - 3 - 20*q - 462*q - 352*q. Let z be d(-2). Suppose g + 5 = 0, -5*m = -6*m - 3*g - z. What is m rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -403*h + 2. Let p(k) = -43*k. Let r(n) = -2*l(n) + 18*p(n). Let x(y) = 21*y - 3. What is 5*r(f) - 7*x(f)?\nAnswer: 13*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38535621 to the nearest integer?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -100001110?\nAnswer: -100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + v = -34. Let c = 12 + v. What is the second biggest value in c, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -274 + -63. Let r = 582 + i. What is the lowest common multiple of r and 9?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 3*r**2 + r + 5. Let s be u(-3). Suppose s*x - 18 = 74. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 1 + sqrt(539).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 1601 = -5*f, -188*f + 191*f = 12. Is 93 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1944\/144*(-4)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10 * 5\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 8*r - 9. Determine l(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + 312243?\nAnswer: 312252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 2*i - 16. Let l = -82155\/7 + 11693. Let s = l - -43. Which is the second smallest value?  (a) 3  (b) s  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -409 + 412. Let h = -225 - -231. What is the smallest common multiple of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 409\/2397 + -13\/141. Let z(c) = c**2 + 3*c - 1. Let f be z(-3). Is f smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + g**2 + 3*g + (4*g - 4*g - 2*g**2)*(5 - 4 - 3))*(-2 + 1 + 0)*(-44 + 34 - 6*g - 6).\nAnswer: 30*g**3 + 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -55*k**2 - 2180*k - 5. Let z(t) = 21*t**2 + 1091*t + 2. Let d(m) = 2*j(m) + 5*z(m). Suppose d(b) = 0. What is b?\nAnswer: 0, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from kokpkookoppoookko.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000306 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 5:39 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 16 = -2*a, -249*a - 16 = 4*o - 245*a for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -6.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -27*j**2\/2 + 1056*j - 234.\nAnswer: -3*(j - 78)*(9*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 - 33. Let o = w + 38\/3. Let j = 0.3 - 1.3. Which is the nearest to j?  (a) -0.5  (b) o  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 416 + -403. Suppose -14*w - 13 = -z. Solve -12 = 3*j - 3*c, j + 2*c - 5*c + 6 = w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -9. Suppose 0 = 8*a - 2*i - 102, -i - 3 - 62 = -5*a. Calculate the remainder when 1\/(1\/39) - q is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 569400 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 - 36 = -5*q. Find the second derivative of -q*i - 62*i + 30*i**2 + 31*i wrt i.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/5568 and 48\/1247435.\nAnswer: 239507520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/((-4)\/(1 - 3)). Suppose t = -3*g - 3*u + 360, 5*u = -5*g + 4*g + 116. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/3  (b) 19  (c) 0  (d) 1\/4  (e) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -46 + 67. Let v be (-712)\/(-12)*3\/2. Suppose y - 2*c - v = 0, 4*y = -3*c + 2*c + 329. Calculate the remainder when y is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -30792492, -61584971, -92377436, -123169881, -153962300, -184754687, -215547036, -246339341?\n\"Answer: w**3 + w**2 - 30792489*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 0 - 1 + 1 + q + 3*q**3. Suppose 0 = -y + 3*a - 0 - 5, -4*y = -4*a + 4. What is the units digit of i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - r**2 + 27. Let x be -3 - (2\/(-6))\/((-3)\/(-27)). Does 10 divide k(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f + 2*f - 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of 1343*r**3\/3 - 1225*r + 455. Find the first derivative of o(c) wrt c.\nAnswer: 2686*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -14. Let t(c) = -3*c**3 - 4*c - u*c**2 - c**2 - 2 + 2 - 4. Let q = 1 - -8. Let z(d) = 7*d**3 + 7*d**2 + 9*d + 9. Calculate q*t(b) + 4*z(b).\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (6 - (20 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3333.\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*j + j = 165 + 11 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -5*u**2 + 13*u - 3. Let o(j) = 6*j**2 - 14*j + 4. Let v(n) = -6*o(n) - 7*p(n). Suppose 15*w + 124 = 34. Calculate v(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 4*y**3 + 536776*y**2 - 1610356*y + 1073576 = 0.\nAnswer: -134197, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -5  (b) 2\/3  (c) -42\/251  (d) 0.3  (e) 1  (f) 2\/11  (g) -9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, -4, -0.13, -137?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -207*f*q**2 + 244*q**2 with respect to f.\nAnswer: -207*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 2, -31162 in descending order.\nAnswer: 2, -0.4, -31162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.3  (b) -1376301  (c) -1\/6  (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -312\/775 - -2\/775. Suppose r = -0*r - 9. Let z be (-12 - r) + 27\/8. Which is the smallest value?  (a) z  (b) m  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11*(-28)\/(-1078)*(-14)\/(-46).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 7 = -p + 4*n, 0 = -p + 2*n + 8. Suppose p*k = k + 51. Let c = k - 15. Solve j - c = -0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-176*f**3 - 2 + 2*f**2 + 1 + 190*f**3)*(9 + 305 - 45) in the form s*f**3 + a + p*f + n*f**2 and give n.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 194 = 4*z + 5*d, 4*d = -z - 59. Is 34 a factor of 1184 - 9\/z*-7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2 = -4*r - 21, -2*t + r + 3 = 0. Let j be t + (63 - -2) + -1. Suppose j = 2*k + k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 35*v**2 + v. Let b be n(-1). Suppose -2*d - b = -90. Calculate the least common multiple of 68 and d.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -54 - -58. Suppose 2*y + 2*y - 4*b = -76, 4*y = -v*b - 44. What is the units digit of (-18)\/(-10) + -1 - 1698\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.04 + 5. Let h = 0.26 - s. What is the closest to 1 in 4, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q. Let b(m) = -102178*m. Determine d(b(p)).\nAnswer: 102178*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -8. Let u(y) = 34*y + 644. Let z be u(-19). Put 3, j, z, 1 in ascending order.\nAnswer: z, 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 938279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.08 - 1.076. Let j = v + -0.004. What is the nearest to 0 in 0, j, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*z**4 + 3*z**4 - 47*z**4)*(3 + 0 + 1) to i*z**4 + k + u*z**2 + o*z + d*z**3 and give i.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppdp. Give prob of sequence dp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -s + 3. Let m(b) = -17*b - 4 - 2 + 7*b. Let j(k) = -7*k - 4. Give s*j(q) - 5*m(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -717 - -737. Let m(h) be the first derivative of -23\/2*h**2 - 24 - b*h. What is the first derivative of m(r) wrt r?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2586 - 2226 + 2516*d**3 + 2917*d**3 wrt d.\nAnswer: 16299*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 596698693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(5*sqrt(11))**2 - (-3*-4*sqrt(11))**2.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 + -23.9. Let p = 0.7 + s. Let z = 3.8 + -0.8. Which is smaller: p or z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s + 11. Let i be g(-7). Suppose 5*f + 4*b = i, 4*f = 2*f - b + 1. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 12 + 8 + 8 + (0*n - 2*n + 4*n)*(1 + 0 - 2) - n + n - 2*n)*(-3 + 3 + n**4).\nAnswer: -2*n**5 + 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*r - 6*r = -2889. Let u = 316 + r. Do -3 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 + 395. Let c = -292 + x. Let d(y) = -45*y**2. Let p(j) = 13*j**2. Give c*p(t) + 5*d(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 314?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + 3174169?\nAnswer: 3174169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the second derivative of 25*n**4\/12 + 11*n**3\/3 + 2059*n**2\/2 + 1602*n. What is the derivative of l(c) wrt c?\nAnswer: 50*c + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + -2 - (-128 + 124 + -128)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-48)\/(-9))\/((-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, -8, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -64016632 greater than or equal to -64016632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p + 21 = 66. Let l(v) = -v**2 - v + 16. Let j be l(-4). Sort p, -5, j, -2 in descending order.\nAnswer: p, j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/8 - -19\/40. Let i(t) be the first derivative of 3 + 0*t - 2\/25*t**5 + 1\/5*t**2 - f*t**4 + 2\/15*t**3. Let i(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7348634 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12856 + -1539.\nAnswer: 11317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6393\/2 or 3196?\nAnswer: 6393\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (25 - 19) + (4 - (11 - 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, -2, 3\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1320191*y**2. Let g(k) = -15*k**2. Give m(g(t)).\nAnswer: -297042975*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 26. Let r be c(12). Let m be r\/(-5) + (-198)\/45. Let z be 3\/(-1) - (-1 - -2). Does m = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - a + 3*a)*(-109 - 15*a + 109 + (0*a - 3*a + a)*(-1 + 1 - 2) - 2*a - 3 + 3).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 167550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 (base 6) in base 3?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 98471300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9529656 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 + 1a?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 479 and 645585183.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 144 - 158. Let b(l) = 5*l**2 + 33*l + 15. Is b(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/2 - 2059*i**2\/2 - 3085*i - 2056.\nAnswer: -(i + 1)*(i + 2)*(i + 2056)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 + -16. Solve -v = 6 - q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 8259795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168\/2520 + (8 - 1262\/30).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Is 460224097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 771181?\nAnswer: 1\/771181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1674025\/2912 - -41\/2912. Is -576 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -5*u + 4*u + 55, -54 = -u + 4*d. Let n = 32 + -21. What is the remainder when u is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2726500 and 2750.\nAnswer: 29991500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, -15, -69, -155, -279, -447, -665?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/(-15))\/(60348\/(-3525) + 17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1881*h**2*x**3 + 668*h*x**3 wrt h?\nAnswer: 3762*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4819707 or -4819705?\nAnswer: -4819705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 9*q**2 - 15*q - 36. Is t(-12) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 38 - 35. Let n(x) be the third derivative of 0*x**4 + 0 + 0*x**3 + 0*x + 1\/270*x**5 - 1\/540*x**6 + b*x**2. What is d in n(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + 2 + (1 + 0)*1. Suppose -4*o = -2*c + 9 + 13, 5*c - 23 = x*o. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 161287*r - 96685?\nAnswer: 161287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2 + 10*p - 6. Let g be a(-8). Suppose -7*o + 0*o = -g. What is the least common multiple of o and (-6)\/(-4)*8\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/111)\/((d\/(d\/(d\/(d\/((d*d*d*d**(-1)*d)\/d*d)*d*d)*d)))\/d) assuming d is positive.\nAnswer: d**(-113\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*r - 4. Suppose -r*u + 25 = 5*o, 2*o - 6*o + u = -7. What is the second derivative of 3*p - 4*p**3 - 4*p + o*p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 355 + -347. What is the remainder when 38 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -33564, 11 in descending order.\nAnswer: 11, 3, -33564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-4)\/(-6))*(-14)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**2. Let x(p) = 43*p + 4 - 4 - 44*p. Give g(x(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -42*a*i + 16*i + 12 wrt a.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10545493, 10545618, 10545739, 10545856, 10545969, 10546078?\n\"Answer: -2*p**2 + 131*p + 10545364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19.61 - -17.4864. Round z to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 5 = s, 10*s - 1831695 = 3*u - 1831697 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n - 5. Let x be b(-10). Let d = 9 - x. Which is greater: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ddddwdw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 5*f**3 - 3*f + 3*f + f - f**2. Let a be m(1). Suppose -16 = a*d - 46. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 191*w + 1583. What is the tens digit of z(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (-9772)\/(2 - -2). Suppose -6082 = -3*m - b. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 6, j: 6}. Give prob of sequence jjjt.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence otd when three letters picked without replacement from {d: 4, z: 1, n: 2, c: 1, o: 1, t: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/8)*v**(-6)\/v*(v**(-1))**42)\/((((v**(2\/3)*v)\/v)\/(v\/(v\/(v**(-3)\/v))))\/(v**0)**30) assuming v is positive.\nAnswer: v**(-1285\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ij when two letters picked without replacement from {j: 2, i: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -9*o**2. Let w(s) = 3*s**2 - 128*s + 128*s. What is w(z(u))?\nAnswer: 243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4477 - ((-6)\/6*2 + 0). Suppose 0*g - 4*g = -260. What are the prime factors of (-6)\/(-39) - n\/g?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1904902 + -30570608\nAnswer: -32475510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 39*x + 21. Let m(a) = 11 + 14*a + a + 5*a. Let o(h) = -5*k(h) + 9*m(h). Differentiate o(q) wrt q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(2 + (0 + sqrt(242) + 1 - (sqrt(242)*-1 + sqrt(242))*-5 - (sqrt(242) + -1)*6*-2))*2.\nAnswer: -72 + 1144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 10 = 8. What is the nearest to v in 0.4, -2\/5, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 + (-7)\/(-21). Suppose -f - 2*f + 12 = o. Suppose -30 = c - f*c. Calculate the least common multiple of c and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12, -33, -70, -123?\n\"Answer: -8*o**2 + 3*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 129 + -130. Let t(u) = -u**3 + u. Let j(b) = -7*b**3 + b**2 + 6*b. Determine q*j(w) + 6*t(w).\nAnswer: w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 172, 261, 286, 187?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 - 5*u**2 - 2*u + 5. Let s be t(-5). Suppose 14*a - s*a = 0. Solve r - 1 + 0 = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 57.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -255 equal to -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times -1.3562?\nAnswer: 0.054248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15130 + 15129.9986611. What is h rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 45116060231589 and -0.5?\nAnswer: 45116060231589.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4962.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-28))\/((-7)\/((-69629)\/(-4872))).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2\/3, -1269.\nAnswer: -1269, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, t: 1, q: 1, w: 1, f: 1}. Give prob of sequence tqf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 159 + -158.7. Which is the third smallest value?  (a) n  (b) 4  (c) 1\/8  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -425592682 + 425592665.99999965. Let w = g + 16. What is w rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 1. Let p = -4.28 - -4.278. Let m = 0.298 - p. What is the biggest value in -0.2, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19660*s**2 + 19938*s.\nAnswer: -39320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 61978 - 32042688\/517. Is p >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 - 15*i**2 + 12*i + 33. Suppose -2*w + 3*z + 19 = 0, -z - 11 = 14*w - 15*w. Let o be a(w). What is the closest to -1\/4 in -3, -7, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -415355 (base 7) to base 5.\nAnswer: -4242111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 7, -39 in ascending order.\nAnswer: -39, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3934, -7871, -11808, -15745, -19682?\nAnswer: -23619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15 - -977?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 147 - 13 + 93 + y - 46. Let b = 64 + -41. What is the remainder when v(0) is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 48573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 4*c**2. Let j(l) = -99*l**2. Determine j(p(d)).\nAnswer: -1584*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/(-510))\/((-185)\/111).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 3*p**4\/8 - 1167*p**3\/2 + 106215*p**2\/8 - 336147*p\/4 + 160965 = 0?\nAnswer: 4, 5, 14, 1533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**5 - 585*n**4 + 582*n**3.\nAnswer: 3*n**3*(n - 194)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 18*d**3 + d**2 + d + 1. Let l be 6 - (-1)\/1*-3. Suppose -r = -2*q - 0*q - 7, -q - l = -r. Calculate u(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 14*l**2 + 4. Let j(q) = q + 10*q**2 - 17*q**2 - q + 3 + 20*q**2. Determine 4*j(z) - 3*t(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -432014 (base 6) to base 13\nAnswer: -13189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87869*k**2*r**2 + k**2*r + 14*k*r**2 + 11*k*r + 143*k + 6*r**2 + 1518*r - 2 wrt r?\nAnswer: 175738*k**2 + 28*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*x*y**4 + 610*x + 3*y**4 + 2870*y**3 - 192*y wrt y.\nAnswer: -48*x*y**2 + 36*y**2 + 17220*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -1. Let y(x) = 3*x + 4. Let o(z) = -4*m(z) - y(z). Let f(g) = -g**2. Let l(j) = 5*j**2. Let r(i) = -22*f(i) - 4*l(i). What is r(o(u))?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 4*j + 145 = 0. Let s = j - -56. Suppose -4*d + s = -d. Solve d = -5*y - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 224.3 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 7*g**3 + 53*g**2 + 284*g + 1337. Calculate b(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14788 - -14787.9999985377. What is p rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of -3*j**5\/10 - 6*j**2 - 4*j. Let q(y) = 12*y**2 + 3*y**2 - 12*y**2. What is q(r(v))?\nAnswer: 972*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 - -49. Sort h, -2, 1 in increasing order.\nAnswer: -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 8*j - 5*j + 37, -3*j - 29 = -4*i. Is 1*334 - (-8 - i\/(-1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 360 divide 839520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10950.7 + 10951. Which is the nearest to 1\/12?  (a) 3  (b) s  (c) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 513938.43 seconds in hours?\nAnswer: 142.760675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 11, 37, 63?\n\"Answer: 26*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 22 = 5*g + 5, 10 = -2*g - i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(68)*-5*4.\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125 + 5*w - 2277*w**2 - 5*w - 125.\nAnswer: -2277*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12881814 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/16 and 1\/172?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 826 divided by 826.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - 19*k + 4. Let i(v) = -2*v**2 + 37*v - 9. Let m(n) = -4*i(n) - 7*y(n). Let w be m(16). Solve -4*l = 4*o - w, o = 2 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*w - 56*w = -115. List the prime factors of w.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen ninths of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 258 = 152. Which is smaller: z or -204?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 7:08 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i - 1. Let n(q) = 13*q**2 + 3*q - 1. Give -3*f(a) + n(a).\nAnswer: 13*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -36, -1, -22, 3 in ascending order.\nAnswer: -36, -22, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + ((sqrt(1300) - 1*sqrt(1300)) + 5)*1)**2 - (2 + -4 + 4 + -1 + sqrt(1300)).\nAnswer: -10*sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1038013341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/7707634 and -23\/11.\nAnswer: 7707634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 4:34 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 - (64 + (-33 - 30))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {s: 1, e: 1, v: 1, p: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of p**5\/5 - 5*p**4\/2 + 5*p**3 + 5*p**2 - 16*p + 47. Determine g, given that c(g) = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.36 + -0.06. Let g = 19.3 - w. Let k = 17.999941 - g. What is k rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3 - 1)*(-1)\/13. Which is the third biggest value?  (a) 0  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 8:21 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62, -26, -88, -112, -86, 2, 164, 412?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 290*c**3*d**3 + 4*c**2 + 2*c*d**3 - 35*c*d wrt c.\nAnswer: 1740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 99082 - 146882. Round t to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 0.0633.\nAnswer: 0.01899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 18447869 to the power of 1\/2, to the nearest integer?\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21823 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -344*l - 37. Does 30 divide f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5776866 or 5776867?\nAnswer: 5776866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 9:02 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3144 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.0156 rounded to 1 decimal place?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzzzzz. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 57*q**6\/2 + q**3\/3 + 250*q**2 + 288. Find the second derivative of w(b) wrt b.\nAnswer: 3420*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11760 by -10.\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32.927 + 35.927. What is the closest to 5 in 0.3, -1, -18, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 23*f + 2*f**4 - 122 - 23*f**2 - 12*f + 21*f**2 - 14*f in the form t*f + r*f**2 + o + y*f**4 + i*f**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3622*z + 1 + 1450*z + 1645*z)*(-4 - 1 - 8).\nAnswer: 6851*z - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 5*v**2 + 3*v + 1. Let r be ((-3 - -2) + 2)*28\/(-7). What is s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 31 + 11. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 759 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 8*i + 6. Let h be k(6). Let p = -35 + 34.739. Let d = 0.139 - p. Which is the biggest value?  (a) h  (b) 0  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.02 - -0.28. Let g = 0.43 + -0.03. Let a = g - v. Is a at least -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.214 + 0.014. Which is the nearest to 0?  (a) -0.3  (b) d  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 226 or -528?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 71?  (a) -24  (b) 5  (c) 35\/3  (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 15070.09262?\nAnswer: 15074.09262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -97706240 by -76333.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 3722 = -3659 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 3 + 97 = 0. Let v = n + 50. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 2 + 3, 0 = -3*u + 5*n + 37. Differentiate -14*z**2 + 62 + 7 + 55*z**4 + u*z**2 wrt z.\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34891 is divided by 600.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63\/(-9576)*38 + 14\/(-360) + 2\/(-18).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3140)\/(-6) + 4\/6. Let n(j) = 2*j**2 + 25*j - 25. Let s be n(-14). Suppose -13*y - c = -s*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0.4, -12, 0.3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.02 - 3.831. Let l = 37.089 - k. Round l to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1179898 is divided by 690.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 24239, 29319, 34399, 39479, 44559, 49639?\n\"Answer: 5080*c + 19159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28721?\nAnswer: 7, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 68*l**2 - 2*l**3 + 9.\nAnswer: -2*l**3 - 68*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w**2 + 96270*w - 4439000 = 0. Calculate w.\nAnswer: -19300, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4425 divided by 885\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 1\/12, 313, -0.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**2 + x**3 + 2*x**2 + (0*x**3 - 2*x**3 + x**3)*(4 - 2 - 4) - 3*x**3 - 2 - 7115*x**2 + 5*x**3 + 2*x + 7112*x**2.\nAnswer: 5*x**3 - 3*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -281 - -284. Suppose 0 = -30*z + 26*z. Solve z = -m*t - 3 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 890 and -82.\nAnswer: -72980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 209.82273 rounded to 1 dp?\nAnswer: 209.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b**2 + 40*b - 22. Let x be l(-21). Suppose 2*d - r = 3*d - 4, -5*r = -x. Solve -c + d = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2256*k**2 + k - 1. Let y be s(1). Let t = y + -15821\/7. What is the common denominator of t and 31\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -214*i - 2 = 2*v - 217*i, 2*i = 26*v + 100 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-360)\/(-63) - (-2)\/7. Suppose s*u - 2*u = 348. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1894c (base 15) to base 6\nAnswer: -1413030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5*y + 9 = -6, k - 5 = y. Put -0.5, 2, k, 2\/63 in ascending order.\nAnswer: -0.5, 2\/63, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) - sqrt(49)*3)*4 + sqrt(49))\/sqrt(7) - -4*(sqrt(175) + (2 + sqrt(175) - sqrt(175))**2).\nAnswer: 16 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = f + 1. Suppose -c - 2*h - 3*h = -31, -c + 27 = 4*h. What is the derivative of c + 0*k**f + 10*k**3 + 27*k - 27*k wrt k?\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(24\/((-2304)\/(-60)))*15\/9*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1539))**2 - (sqrt(19) + sqrt(19)*-3 + -1)**2.\nAnswer: -22*sqrt(19) + 1463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 219 divided by -73?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1652, 4020, 7142, 11018, 15648?\nAnswer: 21032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11903 - -11872) + (-2 - 3) + (1 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 2*a - 18. Let z = -6 + a. Calculate the remainder when (9\/4)\/(1\/28) is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 233203103302 (base 4) in base 12?\nAnswer: 421192a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/2*48\/(-84))\/(12\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*o - 2*o - o + ((-2 - 3 + 6)*(0 + 0 - o) + 7*o + 24 - 24)*(2 + 1 - 2).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.3919 + 146.3\nAnswer: 146.6919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 105275 + -266872129\/2535. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m - 3*m + m)*(m - m - m**3)*(3*m + 0*m - 7*m + (-2*m + m + 3*m)*(-2 - 1 + 2)).\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of v**5\/60 - v**4\/12 - 20*v**3\/3 + 834*v**2. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**3 + 0 + 0)*(-2 - 1 + 1) - w + w - 3*w**3 - 140 + 239 + 154 + 2*w**3.\nAnswer: 3*w**3 + 253","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.017763689 and -11.\nAnswer: -12.017763689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of b**3\/3 - b + 2. Let m be c(1). Suppose m = -v - 6 + 17. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o**3 - 2*o**3 + o**3)*(0 + 2 - 6)*(2 + 3*o - 2) in the form r*o**4 + u*o**2 + j*o + i + c*o**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 66705 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: b\"What is the yth term of 71, -175, -577, -1129, -1825, -2659, -3625?\n\"Answer: y**3 - 84*y**2 - y + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 66*w**2 - 212*w**2 + 2408 + 150*w**2 - 372*w.\nAnswer: 4*(w - 86)*(w - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -55.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0  (b) -4\/9  (c) 4  (d) -3  (e) 0.07  (f) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/11  (b) -5\/4  (c) 1\/8  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -297 divided by -297.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 18784.19 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 - 24\/(-14) - 8320\/(-14). Suppose 4*t = -2*t + l. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 3*r + 51 = 0. Let s(t) = -t**2 + 5*t - 10. Let v be s(4). Let q = -2 - v. Solve -2*n + 3*u + q + 5 = 0, -4*u = -n + r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 9 = 4*n, 3*u = 4*n - 9. Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-37*2)\/(-2) - -3. Let a = q - 88. What is the common denominator of (-1 - -2) + a\/(-66) and -19\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 3*b**2 + 6*b + 3. Let n be h(-2). Suppose -9 + 3 = 2*j, -2*j - n = -q. Solve -2*w = 5*z + 13, -5*z - 5*w - 30 = -q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1677, 1675, 1671, 1665?\n\"Answer: -d**2 + d + 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 7862306 to the nearest ten thousand.\nAnswer: 7860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1589\/(-6580) - 4\/(-16))*(-6)\/(-216)*60.\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 596272054?\nAnswer: 2, 7, 59, 89, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, -3, 2\/85, 3\/5, 0.3?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and ((-230)\/8)\/(3\/(-2)*(-38)\/(-684))?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -337*r + 17. Let i(k) = 405*k - 15. Let f(v) = -5*i(v) - 6*j(v). What is f(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120522?\nAnswer: 2, 3, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -76*l**3 - 66996*l**2 - 465704*l - 398784 = 0.\nAnswer: -16616\/19, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 - 215 = -9*x. Let p(q) = q**3 - 39*q**2 + 71*q + 113. Let y be p(x). Let a = 0 + 0. Solve -b + a*b - y = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6776230495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/49 + (1560\/(-21) - -2). Let d = 78 + o. Suppose -2*f - 3*y + d = f, f = -5*y - 6. Solve -f*z - 5 - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -42?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.643 less than -4019387.9731?\nAnswer: -4019388.6161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33878.0000038281 + -33878. What is b rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 5344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.1481789km?\nAnswer: 148178.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 33 = -2*m + 1, 4*x - 40 = 4*m. Suppose x = s + 3*g, 0 = 2*g + 2 - 4. Solve -s*t = -2*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(-1))\/(2 + -1). Suppose -a + 5*v + 55 = -0*a, 2*a = -j*v + 140. What is the greatest common factor of 26 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1258 - -1701. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/3*1*-2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*g*z**3 - g*z**2 - 2*g*z - z**3 + 147*z wrt z?\nAnswer: -42*g*z - 2*g - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/5)\/t**(5\/6)*t**(-1)*t**8\/t*t\/(t\/(t*t*t*t*t*t\/t**3*t)*t)*t*t*t**(-8)*t**(-2\/5)*t\/(t\/(t**(3\/7)*t))*t assuming t is positive.\nAnswer: t**(797\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (5 - 3) + -2. Determine w so that -w**i + w**3 + w**2 - 2*w + w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n - 41. Let t(s) = 8374*s. Determine t(u(h)).\nAnswer: -16748*h - 343334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -222, -56, 212, 576, 1030, 1568, 2184?\nAnswer: 2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13236 greater than 13242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 10, 2\/55, 0?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5959*f**2 + 30*f - 145. Let o(d) = 2981*d**2 + 14*d - 72. Let i(n) = -9*o(n) + 5*x(n). Find the second derivative of i(u) wrt u.\nAnswer: 5932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12715 and 4325.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.865 + -0.135. Let z = -0.09 - 0.01. Which is the biggest value?  (a) z  (b) 2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k + 5. Let y be m(3). Suppose v = 3*z - y, -2*z + v + 1 = -z. What is the remainder when 9 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 + 173 = 3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 91*i**3 + 168*i + 34. Find the first derivative of b(h) wrt h.\nAnswer: 546*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22 - 1342455?\nAnswer: -1342521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -9*z + 1. Let f = 64 - 44. Suppose 6*u - u = -f. Calculate the remainder when q(u) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 2, q: 1, m: 1}. Give prob of picking 1 r and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 16 = -36. Suppose -4*h + h - 8 = -2*p, -4*p - k = 4*h. Let g be ((-9)\/(-171))\/(h\/(-4)). Which is the nearest to -1\/4?  (a) g  (b) 2\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43326 is divided by 10812.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17519292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 77\/(-294) - (0 - (-2)\/12).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*d*i**2 + 48*d*i - 5*d + i**2 - 19899 with respect to d.\nAnswer: -22*i**2 + 48*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 6582.57542 to the nearest 10.\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-3))\/(1552\/(-26772)) + 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -4, 51, 160, 341, 612?\nAnswer: 991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -437 - -623. List the prime factors of y.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 - 22. Let l be (-2 - 116)*4\/w. Suppose -49 = 5*r - l. Solve r*g - 4*b = -8, -2*b + 8 = g - 0*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1844 + 1844.2. Which is the third smallest value?  (a) 1  (b) -1\/5  (c) i  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 438 + -370. Let p = 17 - 30. Let h = p + 15. What is the lowest common multiple of h and j?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 8*q + 4*q + 8478 = 0, -11297 = -4*k - 3*q. Round k to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 2*i = 9 + 10, -2*h - 2 = -2*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 406404.3 months to years.\nAnswer: 33867.025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - 11. Let n be 8 + -2 + -3 + q. Suppose -20 = -5*z, 4*o + 2*z + n = 34. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 982965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 13*t**2 - 15*t + 11. Let g be w(14). Calculate the common denominator of -89\/8 and (-3)\/(-72)*93*g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/7  (b) 0.1  (c) 0.07  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2517072 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -13*y**6\/15 - 125*y**4\/12 + 1340*y**3 - y**2\/2 + 564*y - 2. What is the second derivative of o(w) wrt w?\nAnswer: -312*w**2 - 250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28564 >= 15346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 3) + (-4)\/(-28)*16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 3, -3, 8 in decreasing order.\nAnswer: 8, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105666 and 2244.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16 - -20. Let r be -1 + 0 + -4 - a. Let u be ((-12)\/r)\/(7\/(-3)). What is the biggest value in 0.5, 12, u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 3*c - 6 = 0. Suppose 6*d = -7 + 19. Suppose u + u = 4*n - d, -19 = -3*n - c*u. Solve a - 2 = n*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*j**3 + 4*j**3 - 76*j**3.\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114 + 114 - 106*m.\nAnswer: -106*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10.09, -2\/13, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*9.079.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 417 in -0.09, 3\/136, 5, -1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 + 33*t**2 + 2*t + 66. Let r be i(-33). Put -3, -1, r in ascending order.\nAnswer: -3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -76, -44, -10, 14, 16, -16, -94, -230?\n\"Answer: -2*u**3 + 13*u**2 + 7*u - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 5*x + 10, -4*h + 6*h + 5*x = -2. Solve 0 = a + h*a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of 0*f - 9\/2*f**2 - 1\/3*f**3 + 1. Find the second derivative of q(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 4*u**5 - 76*u**4 - 380*u**3 + 204*u**2 + 1656*u = 0.\nAnswer: -3, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24675\/(-1375) + (-48)\/(-88). Which is greater: h or -41?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 22, 1, -0.061, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 76456 + -44033. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, j: 2, n: 1, c: 6}. What is prob of picking 1 c, 1 n, 1 e, and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 20*y**2 - 25*y + 87. Let n be w(21). Suppose -2*i = 8, 5*i + 237 + 116 = n*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 469 + -679. Let p = t - -213. Solve 3*g + v = -0*v - 6, 4*g + p*v = -13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1579 from -622764.\nAnswer: -624343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 180 + -105. Suppose 5*v - 3*h - s = 0, -2*h + 5 = 5*v - 45. Suppose m - 1 - v = 0. Is m at most 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n - 394 + 799 - 405.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1056713 is divided by 421.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 6*g**2 + 3*g. Let p be n(1). Solve -6 = -7*i + p*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 997 - 995. Solve 0*m + 1\/2*m**u - 1\/2 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132 and 19806?\nAnswer: 435732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 5 + (5 + 2 - (-32 - -64) - 23)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 21*j**2 + 372*j + 1. Let n(d) = 4*d**2 + 76*d. What is -11*n(p) + 2*w(p)?\nAnswer: -2*p**2 - 92*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 18*b - 502. Determine l(14).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-357)\/238*100\/15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**10*d**3\/d)\/((d*d**36\/d)\/((d*d**(6\/19))\/d*d)) assuming d is positive.\nAnswer: d**(-431\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c**2 - 2*c + 12. Let l be n(0). Calculate the highest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -5*u - 3. Let i(m) = 2*m + 1. Determine -4*c(z) - 11*i(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -23*g**5\/60 - 2*g**2. Let f(u) be the first derivative of -2*u**3 + 23790. Give 9*f(z) - 2*q(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -3*v**3 - 48*v**2 - 71*v - 356. What is s(-15)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + (-18 - -6) - 82 - (146 - 132).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d**2 + 4*d + 8300*d**4 + 23 - 8168*d**4 + 4*d**2 wrt d.\nAnswer: 1584*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*n + 65229 - 66397 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 169911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyyhhyyh. What is prob of sequence ee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 1938146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 16*y**2 - 44*y - 47. Let s be 1\/((-255)\/(-63) + -4). Let l be a(s). Let v = 9044 - l. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.18*-0.2.\nAnswer: 0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29*c**6 + 9*c**4 - 38*c**2 + 13?\nAnswer: -3480*c**3 + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 10}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2 + 6*l**2 + (3*l**2 - 6*l**2 + 2*l**2 + (2*l - 3 + 3)*(-3*l + 3*l + l) + 3*l**2 + l**2 - 6*l**2)*(-4 + 5 + 1).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wawwwwwwaw. Give prob of picking 1 w and 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -582*l - 503*l + 899*l = 25482 for l.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of y**7\/105 - y**5\/60 + y**2\/2 - 3. Let x(m) be the second derivative of l(m). Find the third derivative of x(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u - 4. Let a be v(-1). Suppose -10 = a*n - 16. Let c(g) = 5*g - 1. Calculate c(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {m: 2, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.04, 5, -0.032052, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2)*(-1 - y + 1) - 4*y + y + 5*y + y + 14 - 3*y + y + 2*y + 2*y - 3*y.\nAnswer: 4*y + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -262*s + 219. Let z(h) = 263*h - 215. Let k(t) = 6*a(t) + 5*z(t). Find the first derivative of k(j) wrt j.\nAnswer: -257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -20 + -1 - (23 - 26). Let o = 44 + w. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 10 = -4*s, -2*n + 0*s + 5 = s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 4 = -5*z, -3*m - 3*z - z + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 + 5*t**2 + 4*t + 4. Let i be ((-7)\/7)\/((-2)\/(-8)). What is w(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -75322 - -75321. Let l = -8.3 - -8. Let k = -3.08 - -0.08. What is the nearest to l in -10, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, f: 2, x: 1}. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -192 - -76. Let z = -116.4 - k. What is the fourth biggest value in 0.2, 6, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 60845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 - 32. Calculate the remainder when 43 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times -1460?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p - m - 201, 5*m + 25 = 0. Let v = -48 + p. Calculate the highest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 15 + 15 = -3*m, -5*r - 10 = -m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -40 + 76 + (4 - -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**3 - 5*n**3 - 148 + n**3.\nAnswer: -2*n**3 - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -h - 5743, -4*i + 4*h = -2*i + 2876. What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 28*n**2 + 19*n - 823. What is z(-22)?\nAnswer: 1663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**2 - 4*k - 9. Let c be ((-55)\/(-22))\/((-5)\/2 - -2). Let g(i) = -4*i**2 + 6*i + 13. Determine c*g(l) - 7*w(l).\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 25.244907 months?\nAnswer: 2.10374225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-4)*n)**(-44) assuming n is positive.\nAnswer: n**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 199, -485, -2321, -5885, -11753, -20501?\nAnswer: -32705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - i. Let v(c) be the first derivative of 0*c + 3\/2*c**2 - 3 + 4\/3*c**3. Let g(s) = 3*o(s) + v(s). Let q(d) = 2*d**2. Give q(g(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5*z**3 - 8*z**2 + z - 1. Let r(c) = 43*c**3 - 44*c**2 - 14*c - 10. Let i(q) = r(q) - 9*v(q). What is i(13)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4717, 4693, 4623, 4483, 4249, 3897, 3403, 2743?\nAnswer: 1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-8 + 5) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1458*g**2 - 33 - 4525*g**2 + 1451*g**2 + 1608*g**2.\nAnswer: -8*g**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -577 - -576.7. Sort -2\/3, -6\/7, w in increasing order.\nAnswer: -6\/7, -2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 48\/(-96) - (45\/(-2) - -3). Suppose -2*u + 1 = -u. Which is greater: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -6. Suppose 4*l - f = 9. Factor -7*q**2 - 3*q + q**2 - l*q - 3*q**2 - 3*q**3.\nAnswer: -3*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22308*-0.5.\nAnswer: -11154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/7, -29, 0.4, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-3)\/(-8) + (-17)\/((-952)\/1197)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0, 0.5, -2\/5, -24\/10369, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-76)\/(-18) - (-2)\/(-9). Suppose -3*l + 4*g = -22, 3*l + 3*g - 2 = -8. Let p(w) = 0*w**2 + t*w**2 - 5*w**l. Let b(c) = -4*c**2. Determine b(p(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 1 - 1)*(0*z - 2*z**2 + 0*z + (-4 - 2*z + 4)*(-4*z - 40 + 33 - 53)).\nAnswer: 12*z**3 + 240*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 44737267451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, l: 3}. Give prob of picking 1 m and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + (-66)\/(-36))*2*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(3\/4)*j)**(-24)*(j*j**(-1\/4))\/(j\/(j\/j**(1\/11))) assuming j is positive.\nAnswer: j**(-2875\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b - b**2 - 2*b. Let i(p) = 2 + 8*p**2 - 9*p**2 - 2. What is c(i(r))?\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5565 divided by 33.\nAnswer: 1855\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-175)\/(-4) + 71\/284*-7?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -704 + 5539\/8. Calculate the common denominator of s and -6\/37.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 11 + 1 = 0. Suppose d*r - 36 = -3*n, 0 = -2*n - 2*n - 8. Sort r, 0, -3.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.70238 and -0.3.\nAnswer: 0.40238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/5)\/((-130)\/3575) - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -370*j - 377*j + 750*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 5*g = -4*r - 124, -60*r + 65*r + 0*g - 3*g = -80 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671.9681mm to centimeters.\nAnswer: 67.19681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -23*q**4\/4 + 3*q**2 + q + 46. What is the second derivative of h(n) wrt n?\nAnswer: -138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 4004.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 979 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + a + (-a - a + a)*(1 - 1 + 2) + a - 5*a + 3*a + 1444*a - 724*a + 33 - 725*a + (0*a - 3*a + 4*a)*(2 + 3 - 6).\nAnswer: -8*a + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -317 + 1586\/5. Let o = -2.4 + 2. What is the closest to 1 in o, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1f8 - -5?\nAnswer: 1fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2 - 11824*g - 8737936.\nAnswer: -4*(g + 1478)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*((-344)\/168)\/(-43).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1517*a = -255*a + 69410 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13875 + -13797. What is the remainder when 182 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/14 - (-4)\/7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 + -81. Let u be (39 + c)\/(1*-1). Sort 3, u, -14.\nAnswer: -14, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 43*g - 5593. Let y be n(130). Sort -79, -2, y, -4, 5 in ascending order.\nAnswer: -79, -4, y, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -4. Suppose -3*n - 3*s = 3 - 9, j = -3*n - s + 8. Let f = -0.1 - 0. What is the closest to f in -4\/5, -5, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - 4\/((-210936)\/(-258459)). Let v = n + 30\/799. Let z = 28171\/6 - 4708. Calculate the common denominator of v and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 4*d + 462. Suppose 91 + d = 7*b. Solve -n = 2*o + 12, -b = -o + 3*o + 4*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 952*a**2 - 3668*a - 3620. Let b(y) = -19*y**2 - 1. Let o(i) = -100*b(i) - 2*u(i). Factor o(d).\nAnswer: -4*(d - 1835)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i - 2*i + i**2 - 3*i**2. Let v(p) = 14*p**2 + 0*p**2 - 10*p**2 - 21*p**2 - 12*p**2. Give f(v(s)).\nAnswer: -1682*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 133?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*h - 4*h - 96. Suppose 2*m = 5*y - 2*m + h, 3 = m. Let a = y + 4. What is a rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.037 + 2.037. What is the closest to 0.3 in -5, v, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8 + (-18)\/3 + 14 - (-33 - -2). Solve 2*b = 35*y - u*y - b, 0 = b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(7) + sqrt(7) + 3*sqrt(7) - sqrt(7)) + -5 + ((sqrt(35)\/sqrt(5) - sqrt(7)) + 5 - sqrt(42)\/(sqrt(6) - sqrt(54)))**2.\nAnswer: 67\/4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -4*y + 3. Let r be h(3). Let l be (-2 + 5)*(-6)\/r. Solve 0 = -2*n + 3*w - 16, 0*w - l = 5*n + 2*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-3 - (-19 + 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/4 + o**2 + 5*o\/4 + 1\/2.\nAnswer: (o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*h**3 - 9*h**3 - 2*h**3 + 2*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47.1 + -53.1. Which is the fourth biggest value?  (a) 2\/13  (b) -7  (c) -1\/3  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x**4 - 2*x**4 + 4*x**4)*((-2 + 1 + 0)*(2*x - 2*x + 2*x) + 0*x + 6*x - 2*x).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-775)\/40 + -262 + 281.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*u - 44*u - 31 = 4*q, 0 = -u + q - 8. Let b(j) = -2*j**2 - j - 4. Give b(u).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11653 + 9010?\nAnswer: -2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 7 = -5*v. Let u(g) = 2*g - 9. What is the units digit of u(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, s: 2, c: 1}. What is prob of sequence ttt?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) - (sqrt(720)*3 + -4)) + -5 - (-5 + sqrt(720) + sqrt(720) + 1)*-4)**2 + 5.\nAnswer: -2448*sqrt(5) + 26214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 401937060 by -30.\nAnswer: -13397902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z - 5*z + 4*z + (2 - 2 - 1)*(4*z + 0*z - 6*z + 4*z - 12 + 12 - z + 0 + 0 + 6*z + 9*z - 5*z + (0 + 2 - 4)*(z - z - z)) to the form n*z + l and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15128047 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (112 - 27) + -39.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 49300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7*(-2)\/28*-3*4\/(-40)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 787186.701 milliseconds in weeks?\nAnswer: 0.0013015653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10765, 21250, 31733, 42214, 52693?\nAnswer: 63170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -673, -5955, -20763, -50011, -98613?\nAnswer: -171483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*t**2 - 108*t**2 - 104*t**2 + 0*t**2 - 2.\nAnswer: -369*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*z + 7 - 7)*(-2 + 3 - 2)*(1 + 2 - 4).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2145 - -2434. Solve 294*s = d*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 19\/(-12) - (-6)\/18. Let r = 322 + -5472\/17. Put -4, r, l in ascending order.\nAnswer: -4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -2130?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 53 + -54 + -1 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 390.9 - 103434587.\nAnswer: -103434196.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 199*u**2. Let d(a) be the first derivative of -4*a**3\/3 + 5*a**2 - 48. Let q(g) = 2*g**2 - 6*g. Let v(t) = -3*d(t) - 5*q(t). Determine v(y(p)).\nAnswer: 79202*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 0*y + 2*y**2 + 0*y**2 + 2*y. Suppose 0*w + 4*w - 2*x = 6, 5*x + 3 = 4*w. What is the remainder when 23 is divided by i(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**4 - 16*b**4 + 5*b**4 - 4*b**3 + (0*b**3 - 3*b**3 + 2*b**3)*(-5*b + 6*b + 0*b) - b**2 - 2*b**4 + b**2.\nAnswer: -11*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p - p**2 - 3*p. Let z be 35\/6 + 1\/6. Let i(o) = z*o - 3*o - 5*o. Determine i(n(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.014 and 15?\nAnswer: -15.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 5*b**3 - 2*b**2 - b - 2. Let c be q(-2). Let g = 69 + c. Let v = g - -325. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(110)*-6)\/((sqrt(80) - -1*sqrt(80))\/sqrt(8)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -382 less than -209547\/548?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -71049*k. Let x(m) = -31*m**2 - m. Give y(x(q)).\nAnswer: 2202519*q**2 + 71049*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -642943.8 take away 0.6?\nAnswer: -642944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-140)\/(-105))\/((-1*(-1)\/(-5))\/(135\/(-150)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -319*r**2*z + 486105*r**2 - 31*z + 5392257 wrt r?\nAnswer: -638*r*z + 972210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12951008 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3*p + 6 = 0, 2*y - 4*p = -5 + 13. Suppose y = 5*j + 5*h - 850, 2*j - 325 = -0*j - 5*h. Is j a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of h**2\/2 + 11. Let u(f) = 4*f. Calculate u(n(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 3 - 13*u + 3.\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 798 and 35.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1)**33*(u*u**(3\/5)*u)**(-3))**24 assuming u is positive.\nAnswer: u**(3024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6111843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10138 plus 25516518605?\nAnswer: 25516528743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k**3 + 19*k**2 + 71*k - 620. Give r(7).\nAnswer: 2866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -7. Suppose -m + 7 = -4*a, -s*a = -m - 8*a + 7. Let h = 17 - m. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.16 * -119766.\nAnswer: 19162.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 1:18 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - z = z, -30 = -5*f + 5*z. Does 12 divide f\/3 - 3752\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 8*h + 11. Suppose -5*i - x = -8*i + 31, i - 5 = 3*x. Let k be b(i). Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/35 and -19\/780989.\nAnswer: 27334615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 5*g + 21 - 66, -5*g = 3*w - 43. Solve -h + 2*h - 5*p = g, 0 = 3*h - 5*p - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**3 - 3*l**3 - 2*l**4 + (-2 + 4 - 17)*(4*l**4 - 3*l**4 - 4*l**4))*(1 + 1 + 0).\nAnswer: 86*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 20178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 172216736*t**3 + 1087551*t + 98 wrt t.\nAnswer: 1033300416*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 189 - 185. Suppose -v*z = -3*r - 1262, -3*z + 953 = -0*z + r. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/13?  (a) -5\/3  (b) -1  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 7 + 6*m**2 + 2*m - m**3 + 2*m + 3*m. Calculate n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -6\/7035509?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 48 = -2*z, -302*i - 80 = -297*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sov when three letters picked without replacement from {s: 2, o: 1, t: 1, v: 2, g: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1194 greater than 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 6*p - 11. Let b(x) = 5*x - 10. Let u(c) = -7*b(c) + 6*g(c). Let h be u(3). Let l(v) = v**3 - 6*v**2 + 4*v + 8. Is l(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -816bb81 + -5?\nAnswer: -816bb86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -1 - (3 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (30 + -40 - -22)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27\/(-1890))\/(178\/1780).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-18)\/117 + 774273\/39 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22.5 + 23. What is the closest to 0 in b, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -697, -695, -691, -685, -677, -667?\nAnswer: -655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from {x: 2, j: 4, t: 7}.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = -21*w + 1. Let p(m) be the third derivative of m**5\/60 + 7*m**4\/24 + 2*m**3\/3 + 2*m**2. Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-13 - -7 - -18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.5 - 1.6. Let f = 9.2 - 10.2. What is the nearest to f in m, 1, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91641*g**2 - g**3 - 30515*g**2 - 30468*g**2 - 30492*g**2.\nAnswer: -g**3 + 166*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*b - 28. Let s(f) = -2*f - 1. Let r be s(b). Solve r = -m + 2*q, -3 = -3*m - 4*q - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 - 14 + 16 + 83*t - 10.\nAnswer: 83*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 189411*a. Let w(t) = 30*t. Give h(w(r)).\nAnswer: 5682330*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mabhvcha. What is prob of picking 1 c, 2 h, and 1 b?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-14))\/((-126)\/1323)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(1539) + 5 + -2 + 5*(-3 + sqrt(1539))*6)**2.\nAnswer: -50778*sqrt(19) + 1487260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6109 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -302 + 309. Suppose 4*o - 7 = -0*o - 3*w, -5*o - 3*w + 11 = 0. Suppose 4*l - 4 = 2*d, -1 - 3 = o*d - 4*l. Solve -h + d*g + 3*g = j, h = -3*g - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*w - 2*w + 2*w)*(-3 - 2*w + 3)*(-26 + 4 + 27 + 3*w) to the form s + j*w**2 + k*w**3 + t*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -353 - 13103352?\nAnswer: -13104145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3144 (base 10) to base 4.\nAnswer: 301020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/90)\/(18\/3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-95)\/3)\/((-3)\/9). Let n = u + 477. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003283587 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1677 divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 935\/18 - 460\/9. Which is the third biggest value?  (a) z  (b) -4  (c) -0.4  (d) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*x + 471*x = 5905386. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 - 3*w**3 + 4*w**3)*(w - w - w) - 7 + 7 - 9*w**4 + (401*w - 194*w + 518*w)*(0*w**3 - 2*w**3 + 3*w**3).\nAnswer: 714*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/101007 and 187\/250560.\nAnswer: 32322240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 16503530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 1:42 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/3*1)\/(65\/78).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14147\/6 - -2340. Find the common denominator of 14\/453 and t.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 250*l**5 + 6*l**3 + l**2 - 16*l - 149 wrt l.\nAnswer: 15000*l**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = 4*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/4)\/(-5 + 44\/8). Let j(q) = -5*q**3 - 2*q**2 - q - 10. What is the hundreds digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.9 + -12.781. Let v = g + 0.081. Let t = 3 + -1. What is the third smallest value in t, v, 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajauajaadaidaauaaaa. Give prob of sequence dad.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182 is divided by 160.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48386605*w**3 + 24193097*w**3 + 24193506*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 39264 and 336198.\nAnswer: 5379168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g + 5*g = 0. Let f be ((-1)\/1)\/(-1) + 6884568. Suppose g = -n - f + 1384569. Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -72*c**3 + 42266*c**2 - 1168*c - 3529. Determine j(587).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 6) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(250)*1 + sqrt(250))*5)\/((sqrt(10) - (sqrt(10) - sqrt(10)*2*1))\/(6*sqrt(5)*-2 - sqrt(5))))**2.\nAnswer: 528125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1964384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together 36.7483780985 and -7.9.\nAnswer: 28.8483780985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67395 = 7274*w - 71321 + 44154 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.006 + -0.586. Let z = -0.12 + o. Let j = z + 0.8. Sort -1, j, 0.2 in ascending order.\nAnswer: -1, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6122*b**4 - 1917*b - 2 wrt b.\nAnswer: -73464*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 152.9 - 153. Let j be 14\/12 - (1 + 0). What is the third biggest value in s, 1\/2, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 + -28923565.2?\nAnswer: -28923565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 30 - 9 = g, -5*g + 2*s = 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, g: 1, i: 3, z: 2, t: 3, q: 2}. What is prob of sequence bt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u. Let c(f) = f + 6252354. What is o(c(n))?\nAnswer: -2*n - 12504708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -125*((-44817)\/105 - (-9)\/21). Round h to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -3*u - 0*g + 19, 0 = u + 5*g - 13. Let s be 2*(0 - u\/(-6)). Let b be 6\/(-3) - (-5 + s). Solve 0*v - 8 = -b*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 29 = 4*w, -3*a + w + 17 = -w. Solve 3*h = 3*m + 5*h + a, 3*m = 3*h + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - 5*w + 12 = 5*a, 0 = 3*a - w + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 2, s: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -5, -3, 9, -2, -6.\nAnswer: -6, -5, -3, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 23*j**2 - 47*j - 9. What are the prime factors of s(7)?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(4212)*-4 - sqrt(4212)) + sqrt(4212))*3)\/((-6*sqrt(1100))\/(-6*-2*sqrt(11))).\nAnswer: 648*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*u**2 + 126*u**4 + 9*u**2 + 8*u**2 + 2*u**3 + 1 - 119*u**4 to l*u**4 + h + y*u**2 + i*u + r*u**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 131*s**3*w + 190*s**3 + 523*s**2*w*x - 8*s*w*x + 1608*w*x + 112*x wrt s?\nAnswer: 786*s*w + 1140*s + 1046*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 32188621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 152 or -48?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -496 and 0.015.\nAnswer: -7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13720 + 13732. Solve k*w + 9*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 246 by 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 34 = 22. Suppose 252 - 708 = -q*u. Calculate the highest common divisor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/5 - 137970*r - 2069568\/5.\nAnswer: 2*(r - 344928)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -5*w**3 - 7*w**2 - 4*w + 31. Give a(3).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/5 - 6497*t**2 - 263835048*t\/5 - 263802564\/5.\nAnswer: -(t + 1)*(t + 16242)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (9850\/(-55160))\/((-1)\/28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252 divided by 63.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, q: 2}. Give prob of sequence nq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 + 30 - 6 + w - 5.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1914226567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7433603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.19 + -1.19. What is the fourth biggest value in -1\/2, 0.1, 1\/7, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-55))\/(156\/(-390)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 3 + 0*m - 2*m)*(11*m - 90*m - 26*m - 146*m) to k*m**2 + g + w*m and give w.\nAnswer: -1506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 10*g + 21. Let r be k(9). Is 2084\/6*18\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212132301 (base 4) to base 9\nAnswer: -260180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 154791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence goh when three letters picked without replacement from {b: 1, o: 5, g: 3, r: 1, y: 5, h: 3}.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/15 in -1033, -0.4, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -7*h + 280. Suppose 5*k - h = 4*t, 8 + 8 = 4*k. Let y = t + 13. Solve y*a - 8 = v, 3 = -2*v + 5*a - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4036 - 13?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 26, -3, 2.\nAnswer: -5, -3, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2272763789 - -0.068.\nAnswer: -2272763788.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1218 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2. Let u(d) = 75 - 75 + 25*d. Give u(h(m)).\nAnswer: 25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*t**4 + 267*t**2 + 106*t - 8 wrt t.\nAnswer: -24*t**2 + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from grriirriirrgigrigrr. Give prob of picking 2 g and 1 i.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - m - 4220 = -1584, -4*m = 3*p - 2611. Suppose -5*r + p = 122. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 77815580 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 15*k**2 - 6*k - 10. What is f(15)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 496671, 496670, 496669, 496668, 496667, 496666?\n\"Answer: -c + 496672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hoshwtzshzwtth. What is prob of sequence oz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*n + 388*n + 419*n + 46551 = -37497 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2018961?\nAnswer: 3, 7, 73, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*j - 24 - 9. Let k = -29 + 215. Suppose -5*w - j*z + k = 0, -2*z = -2*w - w + 104. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/32 and -45\/4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4*q - 567 = 0. What is the remainder when q is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(468) - sqrt(39)\/sqrt(3)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 2:42 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1 and -40143?\nAnswer: 40142.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2069.243l in millilitres?\nAnswer: 2069243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -120*w + 106*w - 140 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, -3, -36, -93, -180?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 3 = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -109780912 * -11\nAnswer: 1207590032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, u: 5}. Give prob of picking 4 u.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t\/t**14*t)))**(-23)*t**(-8)\/t*t*t**(-27) assuming t is positive.\nAnswer: t**241","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13108 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -32, -67, -102, -137, -172?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.511431 millennia in centuries?\nAnswer: 25.11431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2018.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-136)\/24 + 6 + 602\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-76 - 54418\/(-690)) + 4\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8337*b - 17*b - 7109*b + 1840*b - 803757 for b.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -9) + (-185 - -159)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/(-12) - (795\/(-9))\/5. Let w(v) = 4*v**3 + 5. Let q(z) = 16*z**3 + 21. Let t(c) = m*w(c) - 4*q(c). What is the first derivative of t(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138, -137, -136, -135?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 371 - 363. Let g = 355 - b. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -209.2 - -235.\nAnswer: 25.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, r: 4, b: 1, s: 7}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3965 + d - 1985 - 1976.\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -25422271\nAnswer: -2\/25422271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 - 2*c**2 + 2*c**2)*(2*c - 4*c + 4*c) + (2*c + c - 5*c)*(12*c**3 - 8*c**3 + 3*c**3).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 533100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 208 = 3*b. Suppose 0*t - b = -t. Let z = -70 + t. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 998 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.3 - -7.3. Let z be (2\/(-14))\/(24\/(-56)). Put z, d, -3, -1 in decreasing order.\nAnswer: d, z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 22 + 2*(-2 + 3). Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/27)\/((-2450)\/(-210))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6, d: 7}. What is prob of sequence dddx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -134, -395, -610, -599, -182, 821?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hpf when three letters picked without replacement from {x: 1, k: 5, z: 6, h: 2, f: 2, p: 1}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.4982 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 202421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 118 and 21771?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c + 3*c - 4*c - 2*c + 0*c + 3*c + (0 + 1 + 3)*(-19 - 17*c + 19) to h + x*c and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302246 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 10:38 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from juuuuuuujuuuuju. Give prob of sequence jjj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2863*y - 313 wrt y.\nAnswer: 2863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 6, b: 3, f: 1, z: 5}. Give prob of sequence ffb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 34 - 29. Solve -h - 6 + f = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 29*b - 42. Let u be r(7). Let c = u - -274. List the prime factors of c.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 19*c + 755. Calculate v(-75).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 5*k = 10. Suppose -a = k*a. Let c(u) = a*u - u + 0*u. Let w(h) = 4*h**2. Calculate c(w(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15.5 - -15. Let y = k - -2. What is y rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*z**2 - 33320*z + 69082 wrt z?\nAnswer: 8*z - 33320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 9*u - 21. Let h be i(-6). Let j be h - 2*(-3)\/((-24)\/(-13)). Let l be (1\/(-5))\/((-6)\/(-5)). Sort 1, j, l in decreasing order.\nAnswer: 1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 410 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14620651 (base 10) to base 13.\nAnswer: -304ba96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 60*q**2 + 2*q - 115. Let r be z(60). Solve x = r*g + 6*x, x = -4*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 683615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -247 + 251. Solve a = 5*m + 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 (base 15) in base 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 7*a - 4. Let r be v(-6). Suppose 4*g = -r*i + 318, i - 2*g + 328 = 3*i. What is i rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*v - 80*v + 80 = 0. Let r = v - 38. Solve 0 = -4*s + 3*b + r - 4, 5*s = -4*b + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 3)*1.\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -330570 or -330567?\nAnswer: -330567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 - 5*c**2 + 4*c + 8. Let u be m(4). Solve r = -3*r + u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8\/7 + 6\/7*k - 6\/7*k**3 + 8\/7*k**2 = 0. What is k?\nAnswer: -1, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-8)*f\/f**(-8))**(2\/15) assuming f is positive.\nAnswer: f**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 4\/5, 0.1, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and -3364895.\nAnswer: -3364890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 192\/349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1728)\/sqrt(8))\/(1*sqrt(9)\/sqrt(3)*1).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 12) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**3 + 31*w**2 - 299*w + 845 = 0. What is w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2 - 7*l + 12.\nAnswer: (l - 4)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8047?\nAnswer: 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5177409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v + 11*v - 4*v - 20564*v**3.\nAnswer: -20564*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 6:18 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*z - 8 = -3*j + 224*z, -12 = 4*j + 3*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 2 - 2)*(-1 + 1 + r) + (16*r**2 - 7*r**2 - 2*r**2)*(1 + 0 - 4).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 0 + 18*p - 1\/2*p**3 - 1\/2*p**2. Give c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 385*y + 64. Let z(n) = 121*n. Determine f(z(l)).\nAnswer: 46585*l + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4609 - -0.0861. Round c to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -13. Let p(t) = -o*t**2 + 4*t**3 + 2*t**2 - 1 + 2*t**2 + 2*t. What is the units digit of p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (13 - 12) + 4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.6 and -324570?\nAnswer: -194742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - -8) + (12 - (-16 - -23))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 839870.9ml to litres.\nAnswer: 839.8709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -4*d. Let h be u(1). Let s = -12 - -12. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -1040*t**3 + 1041*t**3 - 4 + 140 + 2*t. What is w(0)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/44 and -9\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1143, -4, 755 in increasing order.\nAnswer: -4, 755, 1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i, 1 g, and 1 x when four letters picked without replacement from {g: 3, x: 1, l: 2, i: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 4, v: 10}. Give prob of picking 2 i and 2 v.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**2 + 1. Let u(l) = -9*l**2 - 540*l - 14582. Let q(s) = -2*j(s) - u(s). Factor q(h).\nAnswer: 5*(h + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q + 20. Let d be s(-6). Suppose d = -9*k + 149. Calculate the least common multiple of 21 and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vrumurvrr. Give prob of picking 1 u and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1529*o - 30 = -5*i - 1530*o, 0 = 5*i + 5*o - 50 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 6468433?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1243, -1361, -1479, -1597, -1715, -1833?\n\"Answer: -118*y - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t**2 + 9 + t**3 - 5*t**2 + 18*t**2 + 4*t**2 - 14*t. Calculate the smallest common multiple of l(-14) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (148 + -139)*(-3 - (20\/8)\/(-1)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - a. Let s = 43 - 25. Let u be (1\/7)\/(3\/21). Let l(h) = 15*h**2 + 18*h. What is s*j(o) + u*l(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18810 and 11484?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -292 and -36.65.\nAnswer: 10701.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 10 = -4*f - 5*a, -2*f - 3*a = -2. Suppose -y + 8 = f. Suppose o = -y*o + 280. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15236 - 6298. List the prime factors of u.\nAnswer: 2, 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 10*m**2 + 4*m - 6. What is the tens digit of x(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 - (-2 + 8) - 4 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 + (-13)\/(-3) + -4)*-9. List the prime factors of z\/12*(-1)\/((-2)\/556).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27.6 - 27.6. Which is smaller: -8 or q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 32 and 6.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k**2 - 4*k - k**3 + 8*k**2 + 74 - 74. Let u be x(5). Let c(h) = -4*h + 7. Let i be c(-5). Solve u*n - 2 = -i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -278480 or -278508?\nAnswer: -278508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4916*o**4 - 5014*o**2 wrt o?\nAnswer: -117984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*r - r, 2*l - 1 = -r. Let s = -11 - -15. What is the biggest value in -2\/17, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 16 - 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2*p)*(2*p + 4*p**2 - 2*p) + 7*p**3 - 3*p**3 - 3*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-6) - 3\/9. Let q = 77 - 65. Let c = 5 + 0. Sort l, c, q.\nAnswer: l, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.04 + -0.06. Let u = i + 0. Which is the nearest to -0.1?  (a) 4  (b) u  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 6*h. Let y(m) = 5*m. Let u(z) = 5*i(z) - 6*y(z). Let d(p) = p + 343. Give d(u(b)).\nAnswer: -5*b**2 + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + 2*r - 4*r)*(2*r**3 + 5*r - 5*r) + (3 + 3 - 4)*(-2*r**4 - r**4 + 4*r**4) - r**2 + 2*r**4 + r**2.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 152683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 68904 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o + 1. Let n be z(0). Let a = 3 - n. Find the third derivative of -3*v**a + 0*v**2 - 6*v**6 + 0*v**2 - 2*v**2 wrt v.\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -18. Let s = j + 8. Let k = -19575 + 19577. Which is the second biggest value?  (a) s  (b) k  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = g - 2, -2*o + 4*o - 2*g + 12 = 0. Let z(h) = -h**2 - 3*h + 13. Let b(a) = -3*a**2 - 8*a + 34. Let m(x) = -3*b(x) + 8*z(x). Determine m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -364924 divided by -9\nAnswer: 364924\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -11381 - -1?\nAnswer: -11380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-15\/4)*p)\/(p**(-12)*p)*p**(-15)*p**(-26\/3)\/p assuming p is positive.\nAnswer: p**(-185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.3714239 grams?\nAnswer: 0.0000003714239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 0*p + 4*p)*(2*p + 4*p - 5*p) + 0*p + 0*p - 5*p**2 - 2.\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuxxu. Give prob of sequence uuux.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**6\/120 + 13*l**5\/60 - l**4\/2 + 7*l**3\/6 + 20*l**2. Let h be n(12). Solve -f - h - 16 = -5*r, 0 = -2*r + f + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -601 by 6.\nAnswer: -601\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42 = 17*z + 4*k, -4*k = -z - 128 + 134 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - h = 24, -4*q - h + 18 = -2*q. Suppose q + 18 = a. Suppose p = 4*t - 36, -p - 23 = -3*t + 4. What is the remainder when a is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 86 - 99. Let y(d) be the third derivative of d**6\/120 - d**5\/10 - d**4\/4 + 55*d**2. Let w(t) = -2*t**3 + 13*t**2 + 13*t. Give p*y(k) - 6*w(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58*q**5 + 14*q**2 - 2 wrt q.\nAnswer: -3480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -22, 1\/7, 0.3 in decreasing order.\nAnswer: 1\/2, 0.3, 1\/7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-226)\/7 - (-8)\/28. Let q be 1 - (z + 0 + -1). Let c = 60 - q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) 23  (c) 1\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9000649208 less than 32456?\nAnswer: 9000681664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = y - 6. Let b = -18 + y. What is the second derivative of b + 2*n**2 - 7 + 5*n wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 529050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**2\/5 + 32*v\/5 - 117 = 0 for v.\nAnswer: -45, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of n**7\/420 + n**6\/48 + n**5\/20 - n**4\/12 + n**3\/6 + 16*n. Let d(j) be the second derivative of z(j). Factor d(u).\nAnswer: (u + 2)**2*(4*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011010100011 (base 2) to base 3.\nAnswer: 111120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 5:01 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(117)*-2)\/(sqrt(225)*2 + sqrt(225)) - (-1*sqrt(1053)*-3 - (1 + sqrt(1053) + -1)))*6.\nAnswer: -544*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 - 3. Let o = 27 - y. Find the third derivative of -6*v**6 + o*v**6 - 4*v**2 - 2*v**6 + 11*v**2 wrt v.\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 + 12*w**2 + 12*w + 12. Let v be u(-11). Suppose 4*b + 2*n - n = 2, 3*n = -5*b - v. What is the units digit of (b\/(-2))\/((-3)\/126)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - (1877140864\/3096)\/(-8). Let g = -75787 + v. Find the common denominator of g and 47\/5.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of 5\/6*f**3 - 2*f + 1\/3*f**4 + 0 - 1\/20*f**5 - f**2. Suppose 5*o = 3*o + 4, -2*o = -s + 1. Give h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5993255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*t + 12 = 0. Suppose 3*v - 2*k + 3 = k, -v - k - 9 = 0. Which is the third biggest value?  (a) v  (b) 1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-161))\/(19\/1311)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -146  (b) 0.3  (c) 3\/150338  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-1))**(-2\/29)\/(x**(-2\/11)*x*x**(2\/7)) assuming x is positive.\nAnswer: x**(-85\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98965372.\nAnswer: 2, 11, 2249213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + c = 29. Suppose 2*z - 141 = -z. Suppose 65 + z = 2*b. What is the remainder when b is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -20565*n - 1007688. Calculate o(-49).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 5*g + 40. What is u(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, e: 7}. Give prob of sequence nne.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-20)\/(-2) - 11 - (-3386 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (304\/24*-2)\/(1\/(-1)*16\/4).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f + f**2 - 6*f**2 + f**2 to the form v*f + k*f**2 + d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -311\/2 - -2801\/18. Let x = 9 - 14. What is the second biggest value in -0.1, x, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 19 + 10 - 434*w to the form c*w + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10896 and 400.\nAnswer: 272400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-87 + 91)\/(2\/4 + 3\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 - -2396245993382\nAnswer: 2396245993381.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 289531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in 0.3, -3, -4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -263 by -2838802.\nAnswer: 263\/2838802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -103. Let r(z) = 43. Let m(q) = 5*a(q) + 12*r(q). Let j(v) = 7*v**3 + 2*v**2 + 2*v + 3. Calculate -j(u) + 3*m(u).\nAnswer: -7*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 3*u - n = 16, -4*u + 2*n = -18. What is the common denominator of u\/(-77)*(-8 - 1) and (13*(3 + -4))\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-2)\/12)\/(5\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2946856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-1 + (-1272)\/(-184)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 8, m: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) + (sqrt(80)*-2 - sqrt(80)))\/sqrt(5) - 3*-2*sqrt(16))\/((sqrt(8) - 2*sqrt(72)) + -2*sqrt(200)).\nAnswer: -4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15684075*o**2*x**3 + o**2*x - 2*o**2 + 2285*o*x**3 + 2*o*x**2 + 46*o + 21 wrt o?\nAnswer: 31368150*x**3 + 2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 33. Let w(n) = -3 - n**3 + 7*n**2 - n + 2*n**3 - 3*n. Is 12 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**3 - 6*j**3 + 12*j - 12*j.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from accaueaauaeeeaaac. Give prob of picking 1 a, 1 e, and 2 u.\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1001 = 29*l - 972 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.41 + -1.69. Let l = i - 1.92. What is the fourth smallest value in -3, 0.4, -2, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**2 + 17*c - 13. Let k(j) = -j + 3. Let o be k(-4). Let d = o + -5. Calculate the remainder when z(-18) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 103*o - 506. Suppose 3*r - 5*l + 140 - 195 = 0, -5*l = -r + 45. What is v(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 866745 and 15244?\nAnswer: 128278260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22.08 + 0.08. What is the second biggest value in j, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 687*f + 632*f - 126*f + 22*f as t*f + b and give t.\nAnswer: 1215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 4:41 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 658.\nAnswer: -3\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -12. Suppose 2*l - 750 = x*l. Let v = l - -1745. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1241 times 0.1\nAnswer: 124.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/5)\/(8\/40). Let o be (k - -13)\/((-3)\/(-3)). Solve -2*w + g + 8 = -4*w, g = 4*w + o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2097*a**2 - 98667*a - 312*a**2 + 98667*a.\nAnswer: 1785*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 1 = 19. Solve 3*a = -2*o - 5, 0*o - o = -u*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2893 = -793*u + 103604. Solve 124*h = 256*h - u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 196*w**2 + 1864*w - 836. Determine j(186).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -s**4\/6 - 5*s**3\/3 + s**2\/6 + 5*s\/3 = 0. What is s?\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14102244 (base 6) to base 15\nAnswer: 95a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -0.0816?\nAnswer: -0.03264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d - 1. Let o = 1 + 2. Let g be h(o). Suppose g*v - 121 = 214. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18 + 19)\/(-1))\/(3 + -2)*18.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u + 30. Calculate the remainder when m(7) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2073772 by -518443.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 2)*(2*m + 0*m + 0*m) + 174 + m - 177 + 151 to g*m + s and give s.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 7*f = -c + 2, 2 = c - 5*f. Let g be (-30)\/(-26) - (-2)\/(-13). Let d be (g\/c)\/((-5)\/(-10)). Sort d, 5, -3 in increasing order.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1656321, -1, 0.\nAnswer: -1656321, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q. Let h(l) be the first derivative of 4*l**3\/3 + 6. Determine h(s(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/322699403 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 331 + -326. Let v(p) = p**2 + 5*p + 0*p**2 + 1 + 2. Let y be v(-5). Put -4, y, h in descending order.\nAnswer: h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 1 + 0)*(f - 5*f + 2*f) - f + 2 + 0 + 2*f)*((-3 + 2 + 0)*(4 - 1 - 5) + 0 + 0 - 1).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1961 is divided by 330?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 23969192083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -13b1 (base 16) in base 14?\nAnswer: -1ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2219408 rounded to three decimal places?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 678\/4 + (-95)\/(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p**2 + 10*p**2 - 2*p**2 + (-216 - 245 + 121)*(-2*p**2 + p**2 + 2*p**2).\nAnswer: -335*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 6*p = 3*i - 402, -5*i + 2*p + 635 = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2194080.4443 from 0.0597.\nAnswer: 2194080.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 1167*l - 9346. Give x(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*v, -4 = -4*y - 3*v + 14. Suppose 3*h = 9 + y. What is the units digit of h\/6*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 5*k**2\/2 - 376. Let a(i) = -297*i**2 + 12*i. Let r(g) = 119*g**2 - 5*g. Let h(l) = -5*a(l) - 12*r(l). Determine u(h(b)).\nAnswer: 285*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 22\/4 - (-6)\/12. Solve q + 9 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11 + 25. Let x be a\/6*(-2)\/(-7). Factor 4\/3*h + 0*h**2 + x - 4\/3*h**3 - 2\/3*h**4.\nAnswer: -2*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4039 - 4038.7. What is the third smallest value in 0.01, 1\/9, -0.4, o, 2\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -303233013 (base 4) in base 14?\nAnswer: -57327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-36))\/(((-13)\/(286\/165))\/((-50)\/30))\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + 11*l. Let v be w(-11). Suppose -2*u + v*f + 138 = -5*f, -4*u + 252 = 2*f. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5137590 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**2 + 3*t - 3*t)*(-1 + 0 + 6)*(5 - 5 - 3).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 47923 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 21. Is (148\/g)\/((-2)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.09 and -15811.\nAnswer: -1422.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the third derivative of 3*y**5\/20 - 13*y**4\/4 + 2*y**3\/3 + 21*y**2 + y. Let g be j(12). Calculate the greatest common divisor of 28 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.006 and 0.01392.\nAnswer: 0.00008352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -47?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 plus 953?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66195587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 160133833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {d: 1, i: 5, h: 1, p: 1, a: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -225.9 - -226. What is the third biggest value in p, 30, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27107 - 3205. What are the prime factors of b?\nAnswer: 2, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from llxywlyljjjjqq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.34 - -0.24. Which is the closest to 1.8?  (a) k  (b) -2\/11  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nzg when three letters picked without replacement from {b: 1, l: 1, n: 1, z: 1, g: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -14 + 6)\/(4\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 - -23. Let q = j + 9.8. Sort q, 0, 4 in descending order.\nAnswer: 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the second derivative of 2*o**5\/5 + o**3\/6 - o**2\/2 + 2*o. Let r be (4\/(12\/21))\/(-1). Let n(s) = -s**2 - 7*s + 1. Let m be n(r). Give c(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12.88138um to centimeters.\nAnswer: 0.001288138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52130, 52105, 52046, 51959, 51850?\nAnswer: 51725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 t when three letters picked without replacement from {g: 2, o: 3, t: 1, n: 2, p: 2, j: 4}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, -3, 1, -5, 19 in decreasing order.\nAnswer: 19, 12, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 17*b**2 + b + 21. Let m be i(-17). Suppose -4*g = 2*w - 484, -g + 687 + 246 = m*w. List the prime factors of w.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 4, -0.1 in descending order.\nAnswer: 4, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 6*a + 3. Let w = -15 + 23. Suppose w = 6*q - 10. Sort q, -6, a.\nAnswer: -6, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -1. Suppose -p + 1 = -c. Let t be (4\/(-6))\/(0 + 2). Which is greater: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*v**3 - 71*v**3 + 5*v**3 + (-2 + v**2 + 2)*(0 + 2*v + 0) - v**3 + v - v.\nAnswer: -49*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -3*c + 25. Let l be v(7). Suppose l = 3*j + 1, a = 2*j + 2. Suppose -5*o = y + 5, -5*y = -o + 17 + 8. Sort a, o, -3 in descending order.\nAnswer: a, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyuyuuuyuuu. Give prob of picking 3 u.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.001184ms in microseconds?\nAnswer: 1001.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -411, -683, -815, -801, -635, -311?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27057 = -110*n + 27607 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -2511\/57662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -532*q**4 - 65*q?\nAnswer: -6384*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 10) + 3 + (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5013 (base 6) to base 14\nAnswer: -57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 - 1)*(-3*u + 0*u + 4*u) - 2*u - 5*u + 4*u + 4*u + 6 + 4*u - 4 to the form w*u + g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243*m + 250*m + 2*m**2 - 531*m.\nAnswer: 2*m**2 - 524*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 + -95\/4. Let p = 9373.4 + -9372.4. Which is the closest to m?  (a) p  (b) 2\/7  (c) -0.4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h - 4 - 9106*h**2 + 9107*h**2 + 5 - h**3. Let k(w) = -3*w**3 - 2*w**2 + 2*w - 2. Let y be (-3 - 0)*2\/(-3). Determine y*c(r) + k(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/20 + (-2)\/(-5). Suppose b + 4*f - 23 = h, 2*b - 2*f + 2 - 18 = 0. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -152 + 176. Sort 2, h, -1.\nAnswer: -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/6 and 11\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 141 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 834*o + 3*o**3 - 1706*o + 1031*o to the form f*o**2 + u + x*o**3 + p*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -7*m - 77. Let n(c) = 8*c + 77. Let l(w) = -2*n(w) - 3*s(w). Determine l(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*n + 227 = -455 - 606. Put 230, -4, n in increasing order.\nAnswer: -4, n, 230","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -174 - -701\/4. Let t be (-2)\/5*(-10)\/14. Let d = 21.56 + -21.26. Which is the closest to t?  (a) v  (b) d  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -488*g**3 - 27*g**2 + 3*g + 3. Let v(o) = -139080*o**3 - 7686*o**2 + 854*o + 854. Determine 854*r(c) - 3*v(c).\nAnswer: 488*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 14*d - 4. What is the tens digit of j(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 17*l + 10. Let s(v) = 188*v + 108. What is 32*n(q) - 3*s(q)?\nAnswer: -20*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/7)*z*z\/z**(-2\/11)*z*z**(4\/9)*z\/(z**1\/z)*(z**(-4)\/(z**0\/z))\/(z**(2\/5)*z**2) assuming z is positive.\nAnswer: z**(-1691\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.143 + 0.144202. What is c rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13637050 divided by -25?\nAnswer: 545482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/29, 16, 3, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 464613 (base 9) in base 11?\nAnswer: 180665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((37 - 41) + (1 - -1) - 8) + 0 - -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 690300828 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 104 + 105 = -3*q, 5*q = -5*m - 35 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -f**4\/24 + f**3\/6 - 3*f**2. Let c be q(-2). Suppose 0 = -z + c*z. Solve z - 4 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 8*l**3 + l**2 + 7*l - 1. Let n(q) = q**3 + q. Suppose -7*u = 5*v + 16, -5*u - 2 + 12 = 0. What is v*n(g) + s(g)?\nAnswer: 2*g**3 + g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -10*t - 15. Determine j(-10).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.671 - -0.445. Let a = g - 0.116. Let k be ((-54)\/15)\/(21\/(-10)). Is k at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 807\/(-5) + 2\/5. Let y = -149 - i. What is the smallest common multiple of y and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6*t + 5. Let f(j) = 17*j + 16. Let p(i) = -3*f(i) + 8*u(i). What are the prime factors of p(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 9, -1, -256, -3\/5, 0, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 - 385*c**2 + 2689*c - 234. What is y(7)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 6*i + 5 = -2*q, -3*i - 15 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2246171 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6.624 or 368?\nAnswer: -6.624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 455001*t**2\/2 + 909729*t\/4 - 273\/4.\nAnswer: 3*(t + 1)*(303334*t - 91)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 31923 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do -2909752 and -2909763 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10522053.\nAnswer: 3, 421, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 5*d = 0. Factor l - 4*l**3 - 4*l**2 + 8*l + d*l**2 - l.\nAnswer: -4*l*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -139, -126, -97, -46, 33, 146, 299, 498?\n\"Answer: o**3 + 2*o**2 - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3180)\/(-90))\/(2\/(-105)). Let q = -607 - r. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*t = -84*t + 27*t + 24543. Calculate the remainder when 494 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/57)\/((-2)\/(-2)*8\/16)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 5*z - 0*z + 1091, 5*x - z = 2716. Calculate the smallest common multiple of 9 and x.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 180832655?\nAnswer: -180832652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 15203989.5 hours in weeks?\nAnswer: 90499.9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a + 8 = 20*a - 3*x, 5*a - 3*x - 52 = 0. Let j(u) = 7*u**2 - u - 20. What is the tens digit of j(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 113 = 4*c + 109. Suppose 3*o + c = 2*a, 2*a + 0*a - 4 = 0. Solve f + 2 = o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5591312, -5591270, -5591198, -5591096?\n\"Answer: 15*b**2 - 3*b - 5591324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 78238 and 3532 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 3*d**2 + d + 3. Let g(y) = y + 1. Let o be g(-3). Let i be (-10)\/30*18\/o. Is c(i) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -257*d**4 - 4*d**2 + 4*d**2 + 264*d**4 + d**3 - 21 + 6*d + 8 as z*d**3 + t + l*d**4 + w*d + x*d**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -284*p + 5912. Let f be m(16). Calculate the greatest common divisor of 190 and f.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -7, -118643 in increasing order.\nAnswer: -118643, -7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.27 times 2178.5?\nAnswer: 37622.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -1, 252, 1, 0, 3, 5.\nAnswer: -1, 0, 1, 3, 5, 11, 252","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 6. Suppose -w*z - 11 = -3. Let j be 1*-2 + z\/(-1). Solve 0 = -5*d - j - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 + 6\/(-2)*-1. Suppose 3*g + 112 = 5*t + 3, 0 = 2*t + g - 37. Let y = t + o. Calculate the remainder when 49 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = s - 3*s + 8, s = -2*j + 16. Let p(z) = 10*z**3 - 2*z**2 + 3*z - 3. Let k be p(2). Suppose -2*w - w = -k. Solve 0 = 3*m - s + w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.372 - 0.072. Let i = 7 - 1. Let j = i + -5.5. Sort j, c, -1 in descending order.\nAnswer: j, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1447 by 1709.\nAnswer: -1447\/1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*i - 658 - 290. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -66 + 74. Suppose -r - 3*o = 2*r, -3*r = -o + a. Are -2 and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 2:19 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 11:05 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1628102*q + 11*q**3 - 1628102*q + 17*q**3.\nAnswer: 28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) + -2)**2 + (sqrt(5) - (sqrt(605) + sqrt(605) + -2)).\nAnswer: -45*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v + 19135 - 38201 + 19250 + 5*v.\nAnswer: -v + 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*x**3 - 1226*x**2 + 2460*x**2 - 1234*x**2 + 3*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 10*s**3\/3 + 6583. Let t(f) = -719*f. Give c(t(y)).\nAnswer: 5169610*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1752143900 a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 10*m**3 - 6*m**2 + 7*m - 5. What is the units digit of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 280 = -2*c. Calculate the least common multiple of -2*(-3)\/(-18) - (-66521)\/663 and c.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9 is divided by ((2*-8)\/(-4))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = b + 2*b. Let s = b - 4. Let x be s\/(-2)*(-2)\/2. Solve -2*r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.37 + 0.07. Let h = o + 0.2. Let d = h - 2.9. What is the closest to 0 in -1, -3\/5, d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507993.27 rounded to the nearest 100?\nAnswer: 508000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1191 - 5953\/5. Sort -12, 2, k, 0.2.\nAnswer: -12, 0.2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00019745741 to 7 decimal places.\nAnswer: -0.0001975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -5844*s - 2. Let b(n) = -2*n. Determine w(b(i)).\nAnswer: 11688*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((-2*sqrt(288) + sqrt(18))\/(sqrt(24)\/sqrt(4)*-1)*-3)**2.\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.7 - 0.6. Let h = 0.4 + i. Round h to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 620 = 4*t, 5*t - 281 = -5*n + 334. Calculate the greatest common factor of n and 8640.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from qvrbrub?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**3 + 33*r**2 - 78*r - 3. Let n be o(-13). Is n less than -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 343, 717, 1093, 1471, 1851, 2233, 2617?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 462 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t**2 + 169993*t - 1189723. Give s(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-5*sqrt(448) - (-3 + sqrt(448))).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z**3 + 20*z**2 + 20*z = 0. Calculate z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 214c5 + -29a?\nAnswer: 2122a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, x: 4}. What is prob of picking 1 b and 3 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.23675 - 1531.53675. Round x to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*(16\/(-6) + 2). Let q = 4 - 5. Suppose -3*k = 2*k - 5. Which is the closest to m?  (a) q  (b) 0  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l + 3. Let i(z) = 3*z + 3. Let w(a) = 3*i(a) - 4*x(a). Let v(g) = -g**2 - 7*g + 22. Let q = -26 + 17. Let r be v(q). Calculate w(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/1404 and 53\/4968.\nAnswer: 64584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/6*8\/3. Suppose 3*s - d - 38 = 0, 2*s + w*d - d - 40 = 0. Suppose 0 = 5*q - 4 + s. Put 2, q, -3 in increasing order.\nAnswer: -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**4 + w**3 + w**2 - 4. Let l(m) = -1133*m**4 - 5*m**3 - 5*m**2 + 3*m + 9. Let x(q) = -l(q) - 5*v(q). Find the second derivative of x(f) wrt f.\nAnswer: 13536*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.35698481 + -1.95698371. Let f = h - -1.6. What is f rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -58. Let j = 12 + u. Let m = j + -13.184. What is m rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1670474 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 130.3  (b) -2.8  (c) -28  (d) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 60089235 a multiple of 3397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-34)\/60 - (5\/15 - 1). Let b(o) be the first derivative of 1\/6*o**3 - r*o**5 + 0*o**2 + 3 + 0*o + 0*o**4. What is t in b(t) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41.19996um?\nAnswer: 0.004119996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33773 + 29375 = -1983*u + 24761 + 127498 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2072)\/((-4)\/(8\/5))*5 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 15) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x**2 + 14*x + 19. Let g be a(-2). Solve g + 17 = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 9*x + 3*r = 5, -3*x - 8 = 4*r. Let u be (-1)\/((-14)\/32 + x\/8). Suppose 0 = f - 6*f - 80. Are f and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36.4 + -51.4. Let j = 247 - 2719\/11. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125) - (4 + sqrt(125)))**2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 32, -2, -4 in increasing order.\nAnswer: -8, -4, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 495403178 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (286\/6)\/(6\/18). Suppose 8*s - 337 = x. Calculate the greatest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/31 - (10051\/589 - 17)\/(-1). Solve 5*n - 13 = a - 4*a, f = -2*n - 3*a - 2 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -6*i. Let h = 11 + -9. Let r(p) = -2*p + 2*p**h - 2*p + 4*p. Calculate r(x(g)).\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24987460 is divided by 534.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 208.3686 + -2.1686. Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*q**2 - 12*q wrt q?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2353556 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of -m**5\/20 + m**4\/12 - 4*m. Let i be j(-4). Suppose i = 4*v + 20. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7996, -31987, -71972, -127951, -199924?\nAnswer: -287891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 > 559\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 119.50337 - -0.06663. Let d = -22.47 + g. Let r = -97 + d. Sort -0.2, -1, r, -5 in increasing order.\nAnswer: -5, -1, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/3 + 10*b**3\/3 + 50*b**2\/3 - 250*b\/3.\nAnswer: -2*b*(b - 5)**2*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/535)\/(((-204)\/(-15))\/68)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 36 - 36 - 9*v**4 + (-v**2 + 4*v**2 - v**2)*(-3*v**2 - v**2 + 3*v**2).\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 minus 2554616116?\nAnswer: -2554616116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2242725487.\nAnswer: 83, 643, 42023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pgggggggapgga. Give prob of sequence ga.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5*u + 37 = -55, -5*r - 3*u = -261. What is the remainder when r is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + (0 + -2 - -3). Suppose l = -2*z + 148, u*z - 156 = -2*z - 3*l. Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*1 - 10\/40*-9. What is the smallest value in 12, -2, -3, a, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 5) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1412 - 1036 = -6*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -63 - -62. Let s be (11\/22)\/((-1)\/(l + 11)). Let p(m) = 6*m + 32. What is the least common multiple of p(s) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46 and 170660?\nAnswer: 170660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3  (b) 0.05  (c) 4  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5968082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12.776 and -0.3.\nAnswer: 3.8328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -7*x**2. Let f = -15 - -16. Suppose z + 1 = -0*z - 3*i, -3*z - 5*i = -f. Let p(q) = q**z - 17*q + 17*q. Determine d(p(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((8\/6)\/(42\/(-147)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 759579 and 251049?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 23*t + 4. Let q(r) = 56*r + 32*r - 80*r + 1. Calculate -2*i(u) + 7*q(u).\nAnswer: 10*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2484940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d8 (base 14) to base 4.\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 3*z - 5*z - 9*z**2 + 2*z - 7*z - 5. Let g(t) = -4*t**2 - 3*t - 2. Let u(m) = 6*f(m) - 14*g(m). Let u(w) = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -3*t - 21. Let p be -1 + 0 - (-2 - -1). Suppose p = -u + t - 4. What is the remainder when 10 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -38516 and -1.\nAnswer: -38517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + 146 = 14 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2051477 or -2051464?\nAnswer: -2051477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**2\/3 + 53*c\/9 - 2 = 0. What is c?\nAnswer: -18, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**5 - 129*x**4 + 1023*x**3 - 1371*x**2 - 1020*x + 1500 = 0.\nAnswer: -50, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/30 and 83\/285200?\nAnswer: 855600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 21 - 5)*(-6*p + 3*p + 2*p)*(-3*p + 5*p - 3*p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 19*a**2 + 3*a**2 to r + l*a**2 + o*a and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73825536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, -2, -3 in decreasing order.\nAnswer: 26, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (197680 + (-2 - -3)). Let j(a) = -92130*a - 8. Let p be j(-13). Let l = g + p. What is l rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 1 = -q, -12*q - 5*f = -14*q - 5. Solve 12 = q*l - 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2\/63, -3\/4412 in increasing order.\nAnswer: -3\/4412, 2\/63, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*y - 12 = -z, 4*z + 4*y = 44. Let k be (-12 + 11)\/((-1)\/z) - 0. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17 - -1266102?\nAnswer: 1266120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47163099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Sum 3252855364 and -240060.\nAnswer: 3252615304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 342*o + 141*o - 2151*o**3 + 1084*o + 2 wrt o.\nAnswer: -12906*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from mqkncbcmb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -10 + 0 + (-3 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1735 divided by 1.\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5434535 is divided by 437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6247 = 588*c - 39*c + 890 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of -3727*d**2 - 7742*d + 5677. Differentiate m(x) wrt x.\nAnswer: -7454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6051484 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wgwqqqqqwgwdqgqgwqd. Give prob of picking 2 g and 1 d.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/40*-4*(0 - -46). What is the second derivative of 7*f - 14*f**4 + 5*f + p*f wrt f?\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-154)\/(-49) - (-2)\/(-14). Suppose -w*s = 1 - 7. Let v(c) = c**2 - c + 1. Let a be v(s). Solve 0 = -3*o + i + 2, 0*i + 6 = -2*o - a*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2438\/159)\/(-46))\/((-1)\/(-39)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1100874 and 903.\nAnswer: 331363074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -98 + 96. Is 1\/(615\/(-308) - m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.056 + 0.044. Let i = -406.7 + 391. Let o = -16 - i. What is the closest to -2\/5 in o, g, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/11 + 7774744*l**2\/11 - 15549494*l\/11 + 7774748\/11 = 0. Calculate l.\nAnswer: -3887374, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 676 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4314278096.49 take away 2762?\nAnswer: -4314280858.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m + 219. Let a(x) = x + 217. Let q(n) = 4*a(n) - 3*g(n). What is the units digit of q(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -293 - -296. Let c be -5*(x + -1 + (-82)\/40). Sort 0.3, 2, c, -23.\nAnswer: -23, c, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 + -2. Let m = k - -0.000016. Let b = m + 0. What is b rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2 - 6 = 0. What is i in -63*i + 4 - 4*i**f + 63*i = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyu when three letters picked without replacement from uuuyuuuyuuuu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/4)\/(3\/276). Suppose -g - 2*p - n = -3*g, 0 = -g + 4*p + 14. Let d = 178\/3 + -50. Find the common denominator of d and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60594929 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/((-9)\/(-18)*-1). Put 1, l, -5 in increasing order.\nAnswer: l, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (240 - (7 + -14)) + -3. Let q = 366 - g. List the prime factors of q.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158505 to the power of 1\/2, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = u + 2*q, 0 = -4*u - 4*q + 5*q + 30. Suppose -7*f - 1272 = -f. What is the units digit of (-2)\/(-4) - f\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/17)\/(1*-2)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1157474231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189117359.\nAnswer: 5527, 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 79 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2507965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**2 + 53*c + 18. Calculate l(14).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 3*j - j)*(-2 + 2*j + 2)*(1 + 3*j - 1).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 - 70. Let t = p - -23. Let o = t - -21. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -149104*t**6 - 8*t**5 + 2923466*t**2?\nAnswer: -17892480*t**3 - 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a - 2*a - 3*a. Let o(l) = 2*l**2 + 6*l. Determine -o(w) - 5*t(w).\nAnswer: -2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -f**9\/252 - 803*f**8\/168 + 3667*f**5\/60 + 142*f**2 + 35. Find the third derivative of i(g) wrt g.\nAnswer: -240*g**3 - 96360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**29*t*t\/(t\/((t**(-2\/27)\/t)\/t)))\/(t*((t*t\/(t*t\/t**(-24)))\/t)\/t*t\/(t*t\/(((t**(2\/11)*t)\/t)\/t)*t)*t) assuming t is positive.\nAnswer: t**(16259\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 c when three letters picked without replacement from {c: 1, w: 5, n: 3, p: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -223*o**4\/3 + o**3\/3 - 895*o. Let y(z) = z. Determine k(y(h)).\nAnswer: -892*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, l: 1, r: 1, h: 3, p: 1}. What is prob of sequence hep?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12885 - -6191. List the prime factors of p.\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 1 = 5*y. Suppose 114594940 = 4*x - 39473408. Suppose -y*p - 17087 = -x. Round p to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 4, o: 3, q: 1, w: 2, i: 2}. Give prob of sequence mowm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48 - 27*t**4 - 192*t - 93*t**3 - 264*t**2 + 69*t**3 - 120*t**3.\nAnswer: -3*(t + 2)**2*(3*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes before 2:30 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 165, 0, 6 in descending order.\nAnswer: 165, 6, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16211 - 16211 - 442*f**3.\nAnswer: -442*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 111*g - 15687. Give i(211).\nAnswer: 7734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 7*u**2 - 3*u + 17. Let o be a(-6). Calculate the common denominator of 91\/10 and 6\/2 - o\/(432\/(-714)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p - 16*p + 17*p = 0. Solve -i - i + 2 = p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*a - 85 - 329 = -147*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -9) + (0\/3 - -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -521\nAnswer: -2\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4876 greater than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -271*z + 5. Determine u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**2 - 54*y + 21. Let g(d) = 3*d**2 + 126*d - 43. Let o(a) = 3*g(a) + 7*u(a). Let j(m) = 27*m**2 - 2. Determine o(j(i)).\nAnswer: -3645*i**4 + 540*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o + 11*o - 12 = 0. Let z be -4 - -26*9\/o. Suppose -5 + z = y. Solve 3*b = 3*d - b + 35, 2*b = 4*d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 3*x + 6. Let y = x - -25. Let k = -7 + y. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12304875?\nAnswer: 3, 5, 11, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + -1 + (-706 - -226)\/160.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 69, -162, -15, 3?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11846.957 - -20170.966. Let l = 8332 - d. Let b = l - 8. What is b rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {u: 1, t: 2, m: 1, i: 8, l: 1, p: 7}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 5) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -afb7 (base 16) to base 13\nAnswer: -17623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = v - 5*v + 10, -341497*v + 23 = -k - 341492*v for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 - 3*n**2 + 11*n + 3. Let t be o(-5). Suppose 3*s - 15 = -6. Let y be 9250*t*(s + -4). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**2 - 15*w - 5. Let d be o(-7). Suppose 4*k - 5*z = 23, -2*k - 2*z - 4 + 2 = 0. Factor 4*t**2 + 2*t + 3*t**3 + t + d*t**k.\nAnswer: 3*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {z: 7, g: 1, l: 6, f: 1}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-29)\/(29\/(-1)))\/(1*10\/(-2))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 28785813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -221 + 216.28. Let t = m + 4.71457. What is t rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 14\/3 - 4\/6. Let q(k) = 15*k - 6. Let w(l) = 7*l - 3. Let f(b) = 3*q(b) - 5*w(b). Is f(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 + 1. Let r be (((-245)\/(-10))\/7)\/((-1)\/(-2)). Suppose -6*x = r*x - 0*x. What is the closest to x in w, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the third derivative of -b**5\/120 + 5*b**4\/12 + b**3\/6 - 2*b**2. Let l(n) be the first derivative of u(n). What is the units digit of l(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-678)\/1469)\/((-32)\/26).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - sqrt(108)\/(-2*sqrt(9))) + 4.\nAnswer: 4 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y + 5. Let v be (-4)\/(-12)*(-1 + 16). Suppose -b + v = -2*b. Let a be z(b). Solve 0*o - o - 4 = a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.07253 + 1.07253. Put -5, 12.7, -1, u in increasing order.\nAnswer: -5, -1, u, 12.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 188, 186, 184, 182, 180?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1199899\/7 + 1199902\/7. Let w*m**4 + 0*m**2 + 0*m + 4\/7*m**3 + 0 - 1\/7*m**5 = 0. Calculate m.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, -3\/19, -4?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 504 and 2808?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -324*b**3 + 99*b**2 - 297*b + 99. Let d(t) = -2*t**3 - t**2 + 3*t - 1. Give 198*d(f) + 2*q(f).\nAnswer: -1044*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -17. What is the remainder when 62 is divided by (4\/p)\/((-4)\/(-160))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*a**6 + 4*a**5 + 641*a**3 - 24*a**2 - 79*a wrt a.\nAnswer: 240*a**3 + 240*a**2 + 3846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 3*o - 36. Let v be 30\/o*8\/(-10). Let i be (-2)\/4*0\/v. What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23254\/19 - -1224. Which is the biggest value?  (a) o  (b) -5  (c) -6  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 13 = 4. Let y be 1 + z - (-64 + 2). Calculate the greatest common divisor of y and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 20) + -14 + (15 - 3) + -99 + 84?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -0*r + 4*r. Suppose 0 = -2*w - r, w - 4*w = c - 46. What is the highest common factor of 145 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/19, 1, -0.5, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212030343 (base 5) to base 16.\nAnswer: d9eb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -4590 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -1. Suppose g = -3*f - f + 28. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33 - -24) + -4 + (-2 + 3 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8973 is divided by 132.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (((-1624)\/(-87))\/(-14))\/(6\/216*4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -1 - (-6 + 7 + 6 + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (-61 - -32)) + -30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 - w + 0 - 5*w**2 - 2*w**2 - 5 - 2*w**2. Let n be x(-9). Suppose 5*c = -5*v + 220, 3*c = 2*c + n*v + 54. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 189008205 and 189008206 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the second derivative of -2*u**7\/21 - 4*u**6\/15 + 2*u**5\/5 + 8*u**4\/3 + 14*u**3\/3 + 4*u**2 + 107*u. Factor o(f).\nAnswer: -4*(f - 2)*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/7)\/(-6 - (-184)\/28).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*v**3 - 471*v**3 - 29*v**3.\nAnswer: -543*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 8, e: 3}. What is prob of picking 3 e?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*z + 122676942 = -10291848. Round z to the nearest 10000.\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 18699372?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 1 - 1)*(-3*x + 0*x + 5*x + (2 - 5 + 2)*(-x - 3*x + 2*x) + 443*x - 115*x - 132*x + (2 - 2 + 1)*(1 + 2*x - 1)).\nAnswer: -404*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 184072 divided by 46018\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.04754 - -0.45246. What is the third biggest value in -1\/10, -2.8, 1, v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (5 - 5) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-8))\/((-1)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + l = 12. Let a = -22 - -27. Suppose a*u - 5*x - 57 = 33, -46 = -l*u + 5*x. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*d + 3 + 8 + 5 - 14 + 8*d to the form f + i*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -58324*p*x + 6654*x - 2 with respect to p.\nAnswer: -58324*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g - g - g - 21*g**2 + 24*g**2.\nAnswer: 3*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*h**3*o**2 - 4*h**3*o + 16*h**3 - 1504*h*o**3 - 3*o**4 + 258 wrt o.\nAnswer: -18*h**3 - 9024*h*o - 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/3*18\/4. Let c be (-1)\/(2\/(-7) - 18\/378). Put -5, k, 1, c in ascending order.\nAnswer: -5, k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-5)*(i*i**0*i)\/i*i*(i*i\/(i*i**0))**(1\/15))**18 assuming i is positive.\nAnswer: i**(-264\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-11))\/(10\/20)*(-15 + 26). Let r(n) = -n - 8. Let y be r(-9). Let s(i) = -i. Let a(v) = 3*v - 5. Give j*s(k) + y*a(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + sqrt(1331) + 5 + sqrt(1100)).\nAnswer: 8 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (r**2 + 4*r**2 - 4*r**2)*(-37*r + 30*r - 18*r) in the form t*r**3 + h*r + k + q*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 2 = 2*c, 5*c + 32 - 4 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 9*m + 5. Let r be x(-10). Is (44\/(-55))\/(2\/r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 5*p**2 + 16. Let u be v(5). Let n = -36 + 66. Suppose n = 3*z - z + 4*o, 5 = -3*z + 4*o. Solve z*w - 10 = 0, 3*j - 7*j = 2*w + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zdvq when four letters picked without replacement from zvdvvvpq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 725879.\nAnswer: 7, 11, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + 27)\/((-30)\/50 + 0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 6*c**5 - 26*c**4 - 154*c**3 + 26*c**2 + 176*c. Let v(u) = 5*u**5 - 26*u**4 - 156*u**3 + 26*u**2 + 175*u. Let t(l) = -6*h(l) + 7*v(l). Factor t(i).\nAnswer: -i*(i - 1)*(i + 1)*(i + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16338967*j - 17504787 with respect to j.\nAnswer: 16338967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9 + -11)*(-2 + 2 + -1). Solve -1 = -f*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 4*i**2 - i + 2. Let t(l) = 6*l**3 - 21*l**2 + 6*l - 11. What is -2*t(n) - 11*w(n)?\nAnswer: -n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31.4588*-3.\nAnswer: -94.3764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 331 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 4. Suppose 3*b = u + 68. Calculate the highest common divisor of 252 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 3*t + 138 = 203, 11*t = -z + 19 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*h**3\/9 - 20*h**2 - 382*h\/3 + 1328\/9 = 0. Calculate h.\nAnswer: -83, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/3 + 23*h + 142\/3.\nAnswer: -(h - 71)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k - 393 = -437 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -10*r + 70. Let m be g(5). What are the prime factors of -125*(2\/(8\/m))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tlttiptli. Give prob of sequence lpil.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 5*i**2 - 5*i**2 - 22 - 5*i + i**2 + 14. Suppose -8 = -h + 2*c - 3*c, -5*h = 4*c - 37. Suppose -16 = -4*d - 2*v + 2, -20 = -h*d - 3*v. What is r(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.2 + -0.8. Let y = -4.4 - -0.4. Which is the smallest value?  (a) -0.4  (b) l  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9 + -4.83989.\nAnswer: -2.93989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3869, 3852, 3835, 3818, 3801, 3784?\n\"Answer: -17*u + 3886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(4\/3)*q**(-13))**(-2\/19))**42 assuming q is positive.\nAnswer: q**(980\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2 and 90775702?\nAnswer: 90775704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 732*p - 429. Is z(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3\/8  (b) 2  (c) -146  (d) -3  (e) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 6\/7, -0.1.\nAnswer: -0.1, 6\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 22111009 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6625*b + 26366*b - 6595*b - 6599*b - 6608*b.\nAnswer: -61*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22*d**2 + 1906949*d - 80467402.\nAnswer: -44*d + 1906949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-1))\/(6\/(-8)). Let g(i) = 8*i**3 - 4*i**2 + i - f + 5*i**2 + 7. What is the remainder when 17 is divided by g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 9*y**2. Let a(q) be the third derivative of 0 + q**2 + 0*q + 0*q**3 + 1\/30*q**5 + 0*q**4. Calculate s(a(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7\/((-42)\/4)*-3*(-4)\/(-98). What is the closest to 1 in p, -4\/13, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*u = -6*m - 76, -140*u = -7*m - 142*u - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3153 + 8*d**3 + 3153.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p + 2*p + 4*p)*(-1 - 92*p**2 - 1 + 69*p**2).\nAnswer: -46*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 102*t**2 + t. Calculate the remainder when 484 is divided by j(-1).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1755\/25*1 + 3\/(-15). Suppose -122*w = -127*w - v. Let u = w - -74. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 78*l + 22. Let w(x) = -157*x - 42. Let g(m) = -7*d(m) - 3*w(m). List the prime factors of g(-3).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 42 and 19556642?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**3 + s + 4. Let q(t) = -10*t**3 + 173*t + 378. Let i(d) = -6*o(d) + q(d). Differentiate i(a) wrt a.\nAnswer: 6*a**2 + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -10371.\nAnswer: 31113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -274729472 divided by 2?\nAnswer: -137364736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 21*(-19)\/228 - (1 - 4). What is the second biggest value in f, 1.82, 4?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -19*m + 4*m + 4*m + m. Let q(r) = -3*r. Give q(u(d)).\nAnswer: 30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -139e6d (base 15) to base 13\nAnswer: -2710cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 112 + -100. Calculate the lowest common multiple of 27 and w.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*i - 217 - 83 = -10*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 467 is divided by 82?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dpdpdddpppddddppppdd. Give prob of sequence pppd.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 150166\nAnswer: -45049.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-5))**(-28) assuming w is positive.\nAnswer: w**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (117\/18 - 6)\/(2\/76). Find the second derivative of 12*m**4 + 16*m**4 - 18*m - j*m**4 wrt m.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 - 227 = 3*j. Let c = j - -50. Suppose -c*m + u = -12, m - 15 = -5*u + u. Solve -m*q + 5*q + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.9 - -861154.\nAnswer: 861152.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -1. Suppose u - 4 - 4 = v. Let t be -1 - (-2)\/6 - 8\/(-3). Calculate the highest common divisor of t and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c\/(c\/(c\/c**(-7))))*c**6)\/(c**(1\/6)*c*c\/(c\/c**(2\/9))) assuming c is positive.\nAnswer: c**(-25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 328*j**3 - 327*j**3 + 53*j - 3*j**2 + 2*j**2 + 63*j to h*j**2 + m*j**3 + g*j + i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*x - 1, 2 = -4*x - 3*q - 3. Let i be (-11)\/((-66)\/48)*(-1)\/x. Find m such that 5\/4*m**i + 5\/2*m - 5\/4 + 0*m**2 - 5\/2*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1756 = 4*q - 2*o, 20 - 4 = -4*o. Suppose 4*z - q - 619 = 0. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1904 + 1832 - 3622 - 79*t**3 to l + b*t**3 + w*t**2 + y*t and give l.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 9*x. Suppose -6*f + 18 = -8*f. Let t be z(f). Let h be 4\/12*15\/190. Is h >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2 + 2)\/2)\/(-37 + 39). Suppose t = 3*m - 548 + 542. Find q, given that 23\/2*q**2 - m*q**3 - 15*q - 9\/2 = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63877687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -221740, -443312, -664884, -886456, -1108028?\nAnswer: -1329600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -476800 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-48)\/(-18) - 2\/3. Let h(c) = 7*c**i + c + c**3 - 2*c**3 - 3 - 1 - 1. What is the tens digit of h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 242*y**4\/3 + 517*y**3\/9 - 65*y**2\/3 - 25*y + 3678. Suppose s(l) = 0. What is l?\nAnswer: -5\/11, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2415571 + -10)\/(-17) - (-1 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 639 and 177713?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2*s = -4. Let h(o) = o**2 + o. Let q be h(s). Suppose -3*n - q*w = -195, 5*n + w + 0*w = 318. Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 71*s**2 + 721*s. Let c(x) = 12*x + 2. Calculate c(z(f)).\nAnswer: 852*f**2 + 8652*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3782.582 meters?\nAnswer: 3782582000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4790 by 958.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**2. Let o(a) = -a**3 - 2*a. Let w(p) = 4*g(p) + o(p). Let k(d) be the first derivative of d**4\/2 - 5*d**3\/3 + d**2 - 52. Give 4*k(r) + 5*w(r).\nAnswer: 3*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-232)\/(-145) - 387522\/(-30) is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36197, 139123, 310667, 550829, 859609?\nAnswer: 1237007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 337 = 2*t. Let r = t - 479. Let j = r - -285. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 295099 - 0.\nAnswer: 295099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -2*l + 1913, -l + 0*l = p - 957. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 141*z**3 - z**2 - z + 3. What is the tens digit of c(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((-90)\/(-12))*(-3)\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(171) - (sqrt(171) + 1*sqrt(171)) - sqrt(171))\/sqrt(9) + 3.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -431\/19764 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -d**4\/24 + 5*d**2 - 18*d + 13. Let l(j) = 2916*j - 2. Give k(l(g)).\nAnswer: -2916*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 0*b - b = b + 7, -1 = 7*j - 4*b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.92 - -0.08. Let b = 0.9 - s. Let a(y) = -7*y + 184. Let h be a(26). What is the third smallest value in b, h, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 80a038 (base 11) to base 12.\nAnswer: 5293bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from mkwwdwwwwxww.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 43 - 26*t + 24 to s*t + z and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/11 + 641054320*i\/11 + 51368830148832800\/11.\nAnswer: 2*(i + 160263580)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 336976 equal to 0.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.6 + -9. Let h be ((-2)\/(-24))\/((-1)\/2). Let n = -199 - -198.8. Put k, h, n, -1 in decreasing order.\nAnswer: h, n, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - x - 4185 = 7*y, -8365 = -4*y - 3*x. What are the prime factors of y?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3030 a factor of 4766193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65531 - 826991 = -7770*g for g.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v + 2. Let o(b) = -b - 1. Suppose 5*g = -0*g + 10. Let t(n) = g*o(n) + 2*h(n). Let p(x) = -x - 1. Calculate 6*p(c) + 2*t(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.0567081 years?\nAnswer: 0.6804972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1 + 2)*-15)\/(-1). Suppose 0 = -v + d + 80. Calculate the greatest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 331285034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/520 and -29\/4950?\nAnswer: 257400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7*22\/(-231)*(1 - -2). Sort i, -20, -3, 7.\nAnswer: -20, -3, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 18. Solve 3*t - 2*w = 0, w + w = -u*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67635 divided by -405.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2251 - -2290. Solve -t*b = -10*b - 203 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -30 - 18. Suppose 5*m - 14 = 2*a + 2, -i = -4*a - m. Suppose 3 + 17 = 5*h. What is the remainder when h is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 203*x**4 - 72*x**4 + 8 + x**4 + 0*x**4 + 0*x**4 + x**4 + 13*x**4 + 5*x**4 + (-2 + 2 - x**4)*(-2 + 5 - 2).\nAnswer: 150*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73592287485 - 0.03.\nAnswer: 73592287484.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 2) + ((6 - -1) + 13 + -9 - -19).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((57\/16)\/(27\/36))\/(61*(-22)\/(-5368)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -105, -4, -1.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/4)\/(12\/2)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -804 = -8*n + 14*n. Let v = 71 - 71. What is the units digit of (3 - (v - 0))\/((-6)\/n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 5, -15, 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**3 + 60*o**2 + 233*o - 25. Let t be j(-25). Solve -206 = 101*a + t for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -138999, -139000, -139001, -139002, -139003?\nAnswer: -139004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11303132541 - 3?\nAnswer: -11303132544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/3396203 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3)\/((144\/(-444))\/4) is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (-153)\/21)*(-238)\/(-1938).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (1 - -3) + -12 + -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kzzkkkkkk. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -2*f - 9. Suppose -2*w - 2*a - 3*a = -27, 0 = -w + 3*a - 14. Let u be 2*-35*w\/2. Let x be 14\/u + (-33)\/5. Calculate l(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 559931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.1. Let g = -20 - -15. Which is the closest to u?  (a) g  (b) -0.3  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 575?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(-2)*4617\/(-38) + 30\/8?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -71*i + 7173. Let g be b(101). Let z(r) = 3*r**3 - 3*r - 2. Let p(t) = -3*t**3 + 4*t + 2. Calculate g*p(w) + 3*z(w).\nAnswer: 3*w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:15 PM and 12:24 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/8343 and -61\/66744.\nAnswer: 66744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = v + 9 - 7, -x - 48 = 7*v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -428, -0.3, 4\/17, -1510?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 + 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -3*l + 36. Find the common denominator of l and (148\/(-185))\/((-3)\/(540\/(-39))).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**3 + 2*l + 3. Let m be d(2). Put -5, 2, m in increasing order.\nAnswer: -5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1381357*m**2*q**2 + 2*m*q**2 - 12137485*q**2 wrt m.\nAnswer: -2762714*m*q**2 + 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.014 and -14778.\nAnswer: 14984.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hk when two letters picked without replacement from qkqkqqhkqqhkqhcqqk?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4 + sqrt(245))*6.\nAnswer: 28 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3*x**3 - 5*x. Let z(k) = 4 - 4 - 6*k - k**4 + 4*k**3. Let m(y) = -4*b(y) + 3*z(y). What is the second derivative of m(n) wrt n?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwiwiww. What is prob of sequence iiw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 - p + 2. Let t(f) = -2*f + 29. Give -2*q(j) + t(j).\nAnswer: 2*j**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -2\/9, -9, 1\/1941, -0.3, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 21433 = -3*f - 21439, 0 = 5*q - 4*f - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*o**4 + 342*o - 3136 wrt o.\nAnswer: -8*o**3 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8 and -0.234362.\nAnswer: -1.874896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2. Let o(a) = -43*a. Determine o(f(p)).\nAnswer: 43*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -1\/4  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -6*c**2 + 3*c**2 + 2*c**2. Let l(m) = m**2 + 4*m. Let i(w) = w**2 + w. Let n(v) = -4*i(v) + l(v). What is y(n(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 224328577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 542 + -542.00001565. Round u to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/80*((-2575)\/(-60))\/103?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 480 and 3000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/((sqrt(60)\/sqrt(3))\/sqrt(10)) - (3*(-1 + sqrt(19)) + 0 + sqrt(2299)))*-6.\nAnswer: -18 + 78*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9363845 to the power of 1\/2, to the nearest integer?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 109 and 890 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/17, 1, 88194 in increasing order.\nAnswer: 5\/17, 1, 88194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 >= -5.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5696 = -4*m + 4*i, 0 = -5*m - i + 4629 + 2515. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 327*g + 7257 + 4944 + 624 = 102*g for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(2057) - 1*(-1 + sqrt(2057)))*-5 + ((sqrt(2057) - sqrt(2057)*2) + sqrt(2057) + sqrt(2057))*-3 + -3*(sqrt(2057) + -1))**2.\nAnswer: 264*sqrt(17) + 74054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z - z**2 - z + (2*z - 2*z - z)*(-z + 0 + 0) + 3 - 3 + 2*z**2 + (2*z + 5*z - 100*z)*(0*z + 3*z - 5*z) to j*z + l*z**2 + c and give l.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the second derivative of 118*i**3\/3 - 2634*i**2 - 2068*i. Find the first derivative of m(f) wrt f.\nAnswer: 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from hhhvg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162) + (2*sqrt(162) - sqrt(162)))*-2 - (sqrt(200)*2 - sqrt(242)*2))**2.\nAnswer: 2312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 + -22315081712818.\nAnswer: -22315081712819.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5\/4, 1\/198, -5, 1\/7, 0.062?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 11 = -22 + 27. What is the third smallest value in -0.4, 4, -42, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 776 + -807 - (-87 - -1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**33\/y)\/y**(-2\/9) assuming y is positive.\nAnswer: y**(290\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -9*r**2\/2 - 85. Let k(z) = z + 3. Let t(a) = -a - 1. Let s(o) = -k(o) - 3*t(o). What is b(s(d))?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 9  (b) -2\/7  (c) -18  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 4*z + 7839 + 28949, 5*v - 45987 = 6*z. List the prime factors of v.\nAnswer: 3, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -2 + 0*g**2 + 0*g**3 + 1\/6*g**4 - 14*g. Let y(a) = 3*a - 33*a**2 - 3*a. Calculate z(y(o)).\nAnswer: 2178*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -2*m**2\/9 - 6904*m\/3 - 640150\/9 = 0.\nAnswer: -10325, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 402173*j**4 + 2507*j**2 + 26*j.\nAnswer: 9652152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38 - 23 + 0)*(-m**2 + 2 + 3 - 1).\nAnswer: 61*m**2 - 244","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28.85 - 35.6. Let f = 6.72 + y. Sort 0.06, f, -4 in increasing order.\nAnswer: -4, f, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*2\/8*2. Which is the nearest to 1\/4?  (a) 1.4  (b) 1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8974 + 8971. Sort 5, 90, d in descending order.\nAnswer: 90, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8845191.\nAnswer: 3, 73, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1833*v**3 - 780*v**3 - 508*v**3 - 504*v**3.\nAnswer: 41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 118710 and 9198.\nAnswer: 60660810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1994177 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 + 3 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 27414\/99 + 10 + (-1)\/(-11). Calculate the highest common divisor of 533 and w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -3*k - 14. Let d be a(-6). Let o = 6 + -1. Is o > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -17. Let t = 34\/3 + k. What is q in -1\/3*q**3 + 0 + 1\/3*q**2 - 1\/3*q**4 + t*q = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4028 + 5852. Suppose x - 200 = 7*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17a2c (base 15) to base 6.\nAnswer: 1350210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 598 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10598 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 858165.9 millennia to months.\nAnswer: 10297990800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hkmoj. Give prob of sequence oh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 31 - 1 - (6 - -40)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1326 is divided by 445.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 + 16*n - 112 + 57.\nAnswer: 16*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v + 3*v**3 - 5*v - 4*v**2 - 3 + 5*v**2. Let h(u) = 42 + u**3 + 2*u**2 - 10*u**2 + 16 - 146*u + 148*u. Let p be h(6). Calculate n(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 3*i)*(3*i - 4*i - i)*(-3*i**2 + 2*i - 2*i).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*j - 1378 = 2*j - 15*j - 34*j for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5*m = 13133 - 54533. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8516535 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 9972 = -32*l. Let f = l - 274. Calculate the greatest common factor of 48 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 14, -1, -17, 1.\nAnswer: -17, -1, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/29 in -5\/137, 2\/9, -1\/7?\nAnswer: -5\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1665, -1771, -1947, -2193?\nAnswer: -2509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 121 = 2*v, -10447*l - 3*v + 83 = -10443*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8 + (2 - -1) - 372. Is i > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8 - -1 - 4)*-1. Let b(v) = -4*v - 14. Let l be b(w). Suppose 0 = -8*g + l*g. Solve 2*t + g = 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 106\/(-10) - (-6)\/10. Let z = -7 - a. Solve -9 = z*x - 0*n - 2*n, 0 = 3*x + 4*n - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 less than -3174664.8?\nAnswer: -3174664.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 - 9*z + 6*z + 2*z + 4*z + (0 + 2*z + 0)*(-6 + 4 + 4) in the form y + h*z and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 + 5*x**2 - 5*x - 2. Let a be q(4). Let c(h) = -h**3 - 5*h**2 + 6*h + 9. List the prime factors of c(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48847 - 24422 - 16*o**2 - 24425.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 3*q. Let b(a) = 5*a**2 - 3*a + 3. Let g(x) = -44*x**2 + 26*x - 26. Let r be 26*((-12)\/4 - -5). Let i(n) = r*b(n) + 6*g(n). Give c(i(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/r**5)\/r)**(-3\/7) assuming r is positive.\nAnswer: r**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-14) + 27780\/43848. Let x = u - -1\/58. Which is the closest to x?  (a) 5  (b) 4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*h - 7*h + 218 = 736 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1086933 * -0.1\nAnswer: 108693.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1757 - -9?\nAnswer: -1749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 621 and 66549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51*q**4 + q**2 - 251 wrt q.\nAnswer: -1224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of ((-16)\/(-40))\/(1\/190)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136731223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**18*i**18 assuming i is positive.\nAnswer: i**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -b**3\/2 - 52*b**2 + 105*b\/2 = 0.\nAnswer: -105, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, -1, -8, -19?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -12 - ((-20 - -32 - -54) + 16 + 9).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.777 - -0.223. What is the nearest to b in 0.2, 1, 0, 26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 21 in 3, -4, -262, 53, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 4 + (3 - (-1 + 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11100110101100 (base 2) to base 16.\nAnswer: 39ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3  (b) 12902  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3570*k + 4025 = 455*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -472616 minus 0.5?\nAnswer: -472616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -10. Suppose -2*w = -4*j - 46, n*j = w - 2*j - 19. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2110 by 1.\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0 = -10. Suppose -6 = -2*q + 4. Suppose -q*t = -10*t + 10. What is the biggest value in -0.2, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1450065961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - h - 23 = 0, i + 1 = 5*h + 18. Let u = -2 + 3. Let x(j) = 0 + 2 - u + 2*j - 6*j. Let y(g) = -9*g + 3. Determine i*x(l) - 3*y(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**4\/24 - 2*v**3\/3 + 5*v**2. Determine x(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*l**3*m - 384*l**3 - 4*l**2*m**3 - l*m - 48*l + 20*m**3 - 1 wrt l?\nAnswer: 42*l*m - 2304*l - 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*q**3 + 14*q - 14*q - 4*q + 4*q + q**3 + (q**2 - 2*q**3 - q**2)*(-1 + 4 - 4) - 3*q**3 + q**3 + q**3 - q**3 - 8*q + 0*q**3 + 7*q.\nAnswer: 16*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63193888*f**2 - 33423123*f - 2?\nAnswer: 126387776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 44296*x - 4068. Let l(f) = -11*f + 1. Let t(q) = 2*j(q) + 8136*l(q). Let y(d) = -2*d. Calculate t(y(z)).\nAnswer: 1808*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 19782555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 27 = 36. Solve a = q*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)\/sqrt(4)*1)\/sqrt(3))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 4, -4, -48, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -46*p**3 - 3*p**2 + 3*p - 3. Let z(r) = -46*r**3 - 4*r**2 + 4*r - 4. Determine -4*g(q) + 3*z(q).\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + (-20)\/(-6))*-3. Let y(b) = b**z + 2*b**2 + 0*b**2 + 2*b**2. Let m(w) = 3*w**2. Calculate y(m(q)).\nAnswer: 45*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -56130, -112070, -168010, -223950?\nAnswer: -279890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/12 and -9\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14.6 + 15. Let g = d - 0.9. What is the second smallest value in g, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-4*(-2*(sqrt(1584) + -1 - sqrt(1584)) + sqrt(1584) + 4 + sqrt(1584) + (sqrt(1584) - 2*sqrt(1584)) + -5 + 2 + 4))**2.\nAnswer: 10752*sqrt(11) + 104512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) -1  (c) 42  (d) 1  (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13335 (base 8) in base 3?\nAnswer: 22000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**15\/p)\/p**(-11))\/((p**(15\/7)*p)\/(p\/(p\/(p**(-13\/4)*p)))) assuming p is positive.\nAnswer: p**(549\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 48.4 + -37. Let c = y - 11. Let z = -1\/131 + 141\/1310. Do c and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**(6\/11)*(w\/(w*w**10))\/w*((w\/w**(1\/10))\/w)**(-5\/3) assuming w is positive.\nAnswer: w**(-613\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + 156. Calculate the highest common factor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3*p - 55 = 0, -3*m + 4*p = 2*m - 20. What is the remainder when 12 + 1\/(-3)*-3 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3 + 3281*b**2 - 1134016*b - 4588496.\nAnswer: (b - 319)*(b + 4)*(b + 3596)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 859579393 to the power of 1\/3, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 12*k + 20. Let s be l(10). Let d = 4 + -3. Let m be d + (-6)\/(-3) + s. Round m to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2471*b - 19318 - 20218 = 0 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 11 = 4*l. Let x be 2\/(6\/2 - l). Let o be 5 - ((-2)\/x + 3). Solve 15 = -o*f + 3*r + r, 2*f + 5*r + 10 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1862\/2128*16\/(-6)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3\/((-195192)\/195246 - -1).\nAnswer: 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 121  (b) -4  (c) 35119\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 + -6. Let k = -22573\/8 - -2830. Find the common denominator of k and (-1 - (-16)\/10)*x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7140 and 24016580.\nAnswer: 72049740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 5*z**2 - 4*z + 2. Let p = 29 - -1. Let r(t) = t + 15. Let d be r(-9). Suppose h = d*h + p. Calculate o(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rlmerrer. Give prob of picking 1 e and 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 - -17. Let x = h - -1.8. Put 4, 2, x in ascending order.\nAnswer: x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15404 divided by 7702?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-6) - (-15 - (-3 + 834\/(-72))). Suppose -2*w - 2 = 2. What is the nearest to -1\/4 in 2, d, w, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 101110010011?\nAnswer: 101110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - y**2 + y + 1. Let w(f) be the second derivative of f**5\/5 + f**4\/4 - f**3\/6 - f**2\/2 - 4*f. What is -3*t(m) - w(m)?\nAnswer: -m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 3:09 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 107\/42 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) + 1)*-5)**2 + -4 + -1*sqrt(1584) + (3 + (sqrt(1584) - (sqrt(1584) - (sqrt(1584)*2 - sqrt(1584)) - sqrt(1584) - sqrt(1584))**2))*-2.\nAnswer: 564*sqrt(11) + 52287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*i = -39*i - 132 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-27)*-3*-1*12\/(-16)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -83 + (-30 - (-17 + 27)) + 22.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4851936 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n - 10. Let j(l) = -5. What is 7*j(c) - 4*y(c)?\nAnswer: 4*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 0*c**2 - c**2)*(-18*c**2 + 27*c**2 - 19*c**2) - 14*c**4 - 5*c**4 + 6*c**4.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmvmmmvm. Give prob of picking 4 m.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-7\/5)*o\/(o**(-3\/13)*o*o*o))\/(o**(3\/4))**(-28) assuming o is positive.\nAnswer: o**(1406\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/(-21) - (-6)\/(-21))\/1. Suppose t = 23*r - 17*r - 84. Calculate the highest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1109, -1376, -1831, -2474, -3305, -4324, -5531?\n\"Answer: -94*v**2 + 15*v - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**4 - 5*d**4 + 2*d**4)*((2*d - 2 + 2)*(-2 + 4 - 4) - 2 + 2 - 5*d + 4*d - 3*d - 3*d).\nAnswer: 11*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.02  (b) -0.8  (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 206 a factor of 51961646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.4, -0.07, 1\/3, -0.1331, -196?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 249821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 53 = -2*w, -18 = -w - 4*d + 3. Let n = -475 + 480. Suppose 3*a - 8 = -4*o + 12, n = o. Solve 5 = s, -w = -y - a*y - 5*s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 7*j - 32. Let o be (-10)\/(-8) + (-2)\/8. Let i be o\/2*8\/2. Solve -j = -i*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5574243 rounded to 4 dps?\nAnswer: 0.5574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185 is divided by 66.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 22*m**2 - 310*m + 13. What is the units digit of a(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*w + 175817 = -5089. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in n**2\/2 - 245*n - 492 = 0?\nAnswer: -2, 492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 33285253 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -199370.06 minus -2068995?\nAnswer: 1869624.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.7298547m?\nAnswer: 72.98547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 7*d + 1. Let x be q(0). Suppose -k - 19 = -2*j - 0*k, -4*j + 33 = 3*k. Solve j = -4*w - 3*n, w - 2*n = 5 + x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 5, -2\/7, -0.5, 4, 388?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -78, -2, 0.4, -31, 0.03, 2\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -53709355.6999869 - -53709353. Let a = -2.7 - g. Round a to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28213 = 639*x - 223*x - 85621 for x.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 33. Let i = t + -21.23. Let f = i + 0.22942. Round f to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6128 or -6173?\nAnswer: -6173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -159269, -159251, -159207, -159125, -158993, -158799, -158531?\n\"Answer: 2*m**3 + m**2 + m - 159273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -97 - -675\/7. What is the nearest to -1 in 0.4, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*c - 2*c**5 + 18*c - 13*c + 121*c - 115*c + 2*c**4 + c**5 + 0*c**5 + c**2 - 2*c**5 - c**2 + (5*c**2 + 0*c + 0*c)*(-2*c**2 + 2*c**2 + c**3).\nAnswer: 2*c**5 + 2*c**4 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(171) + sqrt(19) - (-5 + sqrt(76))) + (1 + sqrt(304) + 4)*3.\nAnswer: 20 + 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-72)\/10)\/(-3))\/(9\/12090). Suppose -103*g = -99*g - f. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.58278 and -0.039.\nAnswer: 0.06172842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of -l**4\/12 + l**2\/2 - l - 1. Let w(u) be the first derivative of j(u). Let t(s) = -s - 1. Determine t(h) + w(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 464808353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18626212 + -1?\nAnswer: -18626213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2667*h**3 + h**2 + 0*h**2 - 3*h**2.\nAnswer: 2667*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7722 and 1653938.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 719, 813, 1045, 1487, 2211, 3289, 4793, 6795?\nAnswer: 9367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4\/7)\/p**(-4)*p**4\/p**(1\/11))\/(p\/((p\/(p*p\/p**(-1\/4)))\/p)*p**7*(p**0*p)**(2\/11)) assuming p is positive.\nAnswer: p**(-953\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from imimimimiimi. Give prob of sequence miii.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 165\/605*(990\/81 + -11).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (-9)\/2*2. Let p be 1076\/5 + 2\/i. Let d = -39 + p. What is the highest common factor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**4 - 208*a**3 - 1428*a**2 - 680*a + 8800.\nAnswer: -4*(a - 2)*(a + 5)**2*(a + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -95 - -175. Suppose 0*o = -2*o + s. What is the highest common divisor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*x + 33 + 60 = 0, 10 = 2*x. Calculate the lowest common multiple of 11 and 3\/(h\/15)*6.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j**2 - 6*j - 6. Let y(m) = -3*m - 5. Let k be y(-11). Suppose 8 = 4*p + k. Does 37 divide i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10000010 (base 2) to base 9\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -o**5\/20 + 2*o**4\/3 + 5*o**2 + o. Let t be g(8). Let x = 31 - t. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzzzzfzf. What is prob of picking 1 z and 1 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*s**3*u**3 + 7*s**3*u**2 + 8*s**3*u + 4*s**2*u + 110*u**5 - 5 wrt u.\nAnswer: 114*s**3 + 6600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 9530 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47613544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*p - 513*p + 1098200 = 226*p. What is the highest common factor of p and 255?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o - 2*o + 0*o + (3 + 0 - 5)*(-o + 2*o + o) - 4*o + 2*o + 0*o)*(0*o + 3 + 3*o - 2).\nAnswer: -33*o**2 - 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1442 = -4*x - 5*d, -3*x = x - 4*d - 1424. List the prime factors of x.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 55561548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.116886 to one dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1423895 + -478999207.\nAnswer: -480423102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 53\/4 of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97032 is divided by 10771?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 487 - 497 = 0, -2*k + 5*n = 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -n**6\/360 + n**5\/60 + 10*n**3\/3 + 9. Let a(z) be the third derivative of i(z). Let q be a(1). Solve -q = 4*f + 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**5\/20 + 13*j**4\/12 - 3*j**3\/2 - 3*j**2\/2 + 4*j. List the prime factors of o(12).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28376.27 nanoseconds to seconds.\nAnswer: 0.00002837627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -4\/7, 1\/4, -29\/20, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 74385 and 846336.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 4*z = 16, 3*d - 5*z + 26 = 6. Suppose d = -k + 7 + 6. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 - f**3 + f**3)*(69 - 14 - 12) + (0 + 1 + 1)*(-5*f + 0*f + 3*f)*(4*f**2 - 2*f**2 - 4*f**2).\nAnswer: 51*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 0)*(39*h - 18*h - 4*h + 31*h).\nAnswer: -240*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -17750, -35495, -53240, -70985?\n\"Answer: -17745*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 1:51 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -3*x + 5*l + 59, -3*x + 4*l + 63 = 0. Suppose -8*b + 3*b - 17 = z, -x = 3*z + 2*b. Let m = z + 13. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 - -357?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -5*k. Suppose 4*d - 3*d - 9 = k. Let c = 5 + -1. Solve -c*j = 7 + d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*u - 2*u - 54371983431*u**2 + 54371983406*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 9:18 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (141*f**2 - 323*f**2 + 158*f**2 + f)*(1 + 6 - 3 - 3 - 15*f) to u*f**3 + m + o*f**2 + d*f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -102 + 147. Suppose -9*m + o = -4*m. Does 6 divide ((-114)\/m)\/((-2)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**2 - 2*x**2 - 188*x + 90*x + 98*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.00889057 and -5?\nAnswer: 0.04445285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000477129 to 5 dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 974 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*p**4 + 0 + 3*p + 3*p**2 - p - p**2 to the form z*p**2 + r*p**3 + i + y*p**4 + f*p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 74  (b) -1  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*f - 16 = 0, -2*f = -5*s + f + 119. Let t be (807\/12)\/(5\/(-20)). Let y = -181 - t. What is the highest common divisor of y and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 3:43 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(1\/14)\/m*m**(-38))\/((m\/(m**18\/m))\/m*m)**(1\/18) assuming m is positive.\nAnswer: m**(-4793\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 1. Let y be z(4). Suppose -4*c = 4*d + 28, d - 19 = 3*d + y*c. What are the prime factors of d - (-3 - 20)*1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4198 is divided by 202.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21, -136, -317, -558, -853, -1196, -1581, -2002?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.38 + 1.476. Let v = n - 1.0962782. Round v to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/5111  (b) 49.8  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.7269079 less than 2?\nAnswer: -24.7269079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -395 - 3?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*g**2 + 60*g**2 + 46*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6063 divided by -141.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, z: 1, w: 4}. Give prob of picking 4 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 404125.2982 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23 in -13\/4, 4, -127, 4\/3?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -55*-2*(-3)\/(-15). Suppose 7*x - 1119 + 1098 = 0. Suppose 0 = -i, 4*i - g + x = -q. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.07 in 2\/15, -1\/2, -0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(1\/6)*s)**(-29)\/(s**(-1\/8))**(-4\/13) assuming s is positive.\nAnswer: s**(-2452\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 100517952.\nAnswer: 100517952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = 3*d + 9, -19 = k + 5*d - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**3 + 34416*i**2 - 10252212*i + 20366784 = 0.\nAnswer: 2, 304, 11166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -20. Let u(o) = -8*o**2 + 26*o - 6. Let c(n) = -5*n**2 + 17*n - 3. Let y(k) = 5*c(k) - 3*u(k). Give y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**2*j**(-6))\/((j**(1\/2)\/j)\/j)**(-21) assuming j is positive.\nAnswer: j**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4, 2*f + 24 = 4*k - f. Suppose 2*q = -q + k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1335*r**4*w**2 + 788*r**3*w**3 + 295708*r**2*w**3 - 3*r**2*w**2 wrt r?\nAnswer: -32040*r*w**2 + 4728*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**3 + l**2 + l + 1. Let f be h(-1). Suppose 1 = -u + f. Let i be (-1 + u)*(17 - 0). Calculate the highest common factor of 153 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 521197 = 18308*n - 655*n + 103963 - 253580 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7469 - 0.3469. What is the closest to -26 in -2.3, -1\/10, n?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.45 from 103838.\nAnswer: 103837.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**3 - 4*b**3 + 2*b**3 + (-3*b**2 + b**2 + 0*b**2)*((-4*b + 4*b - 2*b)*(-4 + 2 + 3) - 4*b + 35*b + 6*b) as m*b + v + x*b**2 + q*b**3 and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*p**6 - 17*p**2 + 5*p**6 + 7*p**6 + 6*p**6 wrt p.\nAnswer: 1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2498 - 31*g + 2491 - 185*g.\nAnswer: -216*g - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 585?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.101, 2\/17, -5\/2?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 43*y = -36937. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + -16 - -39) + -44.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4018450237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12.55326455 + 0.45324015. Let z = g + 12.1. What is z rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 39 = 54. Suppose 3 = -p + u. Suppose 5 = 5*s - 5, 2*g - p = 4*s. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23111 (base 4) to base 16\nAnswer: -2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 = -188*b + 227*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6 + 1 + u + 0*u + 0*u + u**2. Is i(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1451 and -1521.\nAnswer: -2206971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**2 + 4520784*g + 1277342998416.\nAnswer: 4*(g + 565098)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 0*g + 6. Let b(f) = 2*f - 5 - 3*f + 2*f + 8. Give b(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b**2 + 5. Let c(o) be the second derivative of o**3\/6 - 227*o. What is i(c(l))?\nAnswer: -9*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a meter in centimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + 8. Suppose -6*u + 2*u + 2*d = 10, -4*u - 4*d + 20 = 0. Suppose u = -4*x + 40 + 24. Solve 2*a - x = -v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/160*5)\/(3\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 294*o**2 - 9947*o - 534. Give f(-255).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 15\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 32, -49984 in increasing order.\nAnswer: -49984, -20, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 18208 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000006916 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/3, -1, 4, -0.046, 7\/6, -50?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12 + 1 + -2 + 4. Let j(d) = -2*d**2 - 12*d. Let b be j(m). Let a = 35 - b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 601204.1m in millimeters?\nAnswer: 601204100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15814\/30 + -1 + (-6)\/45. Let w = -129 + d. Does 68 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51770, 207082, 465936, 828332, 1294270, 1863750?\nAnswer: 2536772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -22700 + 38011. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-11 - 238\/(-21))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 620 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22353386 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 775957879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-50)\/(-40)*(-28)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(495)\/(sqrt(9) + sqrt(144)))\/(sqrt(5)*2*4).\nAnswer: sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1223944528 + 1223932769.10326. Let v = s - -11759. Let o = -0.102 + v. Round o to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*q**4 - 2*q**3 + 1503*q**2 - 3578*q?\nAnswer: 24*q**2 - 12*q + 3006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(3888) + sqrt(3888))\/sqrt(9).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 39, 35, 31, 27, 23?\n\"Answer: -4*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 5*z - 4*z)*(-558 + 163*z**2 - 1370 - 160*z**2).\nAnswer: -3*z**3 + 1928*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26899\/2104 - -42\/263. Find the common denominator of p and -54\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 40. What is f(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.359318621 take away -33.734?\nAnswer: 34.093318621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 242 - 443. Let h = 203 + f. Let x(c) = 0*c + 0*c + 5*c. Determine x(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 8*d**2 - 9*d - 12. Let c be o(5). Suppose -4*k - s + c = -0*k, 3*k - 3*s - 6 = 0. Solve -4*x + 6*x = k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 6 = 3*r, 2 - 7 = -3*u + 4*r. Let z be (4\/(-10))\/(1\/(-5)). Sort 0, u, z in increasing order.\nAnswer: 0, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -1842*c**3 + 6780*c**2 - 3*c + 1. Let w(d) = 2*d**3 + d**2 + 3*d - 1. Let f(y) = s(y) + w(y). What is the third derivative of f(h) wrt h?\nAnswer: -11040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.95 + -0.36. Let j = 0.27 - 0.18. Let l = d - j. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -7*i**2 - 42*i + 31. Calculate f(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 873112 or 8731121\/10?\nAnswer: 873112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1360536*p = -1360538*p - 52 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41609779 - 28344195. Let l = -13265098.00247 + w. Let y = l + -486. Round y to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36605929 is divided by 162693.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 19. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25347\/8 - 3165. Calculate the common denominator of (20\/(-6))\/(6\/10) and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of 9*b**7\/7 - 2*b**6\/35 - 27*b**5\/10 + b**4\/7 + 275*b - 1. Suppose p(l) = 0. What is l?\nAnswer: -1, 0, 2\/63, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-8)\/6)\/(32\/(-72)). Suppose l*o = j + j + 713, -3*o = 5*j - 706. What are the prime factors of o?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1594653157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 437 is divided by 298?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119318597.\nAnswer: 17, 31, 373, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w - 40. Let a(l) be the second derivative of -l**5\/20 + 5*l**4\/6 + l**3\/2 - 2*l**2 + 9*l. Is 5 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that o**5 - 2362*o**4 + 77145*o**3 - 671008*o**2 + 596224*o = 0.\nAnswer: 0, 1, 16, 2329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -364*a**2 - 3*a**2 + 88*a**2 + (2 - 2 - a**2)*(2 - 4 + 1) + (-2*a**2 + 3*a**2 + 4*a**2)*(-1 - 1 + 1).\nAnswer: -283*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hwww when four letters picked without replacement from whhwww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 + 75. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**5 + 2875950*o**4 + 31635168*o**3 + 77649834*o**2 + 71897949*o + 23007336 = 0.\nAnswer: -958639, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 682825 and -0.1.\nAnswer: -68282.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**2\/17 - 1528*z\/17 - 254310\/17 = 0.\nAnswer: -519, -245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 36*k - 37. Calculate c(9).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 7) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1131 is divided by 374?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(48\/9))\/((-18)\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/7))**(-12\/11)*(((h*h**(-11))\/h)\/h)\/(h*h**1) assuming h is positive.\nAnswer: h**(-1102\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*q + 190 - 23 + 363 = -482 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*n - 2*f - 960, 0 = -f - 3. Let x be 4\/26 - n\/(-39). List the prime factors of (x\/(-8) + 1)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-35)\/(-280)*-2*900\/40?\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, r: 8, p: 2, h: 3, y: 1}. Give prob of picking 1 r and 2 p.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2104)\/6 + 10\/(-30). Let u = -345 - i. Solve u*o + 2 = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 9. Let t(d) = d - 3. Let i be t(5). Solve m = i*u - 0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 5:33 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*c - 55*c - 24 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 373 + 1600. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from cccivjciccwjcccjjvv?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + -2)\/1 - -5. Let w be k - (2 + 0)\/(-2). Suppose -80 = -3*b + s, -w*s - 93 + 29 = -3*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 177, 176?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v + 22. What is k(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-83824)\/364)\/26)\/((-2)\/(-21))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {b: 3, v: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-66 + 310 - 906)*(3 - 2 - 2)*((6*r - 3*r - 4*r)*(0*r**3 - 4*r**3 + 2*r**3) + r**4 + r**2 - r**2) to v*r + s*r**4 + o*r**2 + m + k*r**3 and give s.\nAnswer: 1986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 66213+12761\nAnswer: 78974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -36 - -38. Suppose -f*u - 2 = -4. Suppose -4*m - 3*s + s = -62, -5*s = -15. Solve -u = 5*t + m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 226 + 107 - 135*r + 284*r + 170 + 277*r wrt r.\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1918 a factor of 345124920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1475.961 and -98?\nAnswer: 144644.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8\/(-12))\/((-6)\/(-2)). Let m = 79 + -130. Let z = m + 155\/3. Put 5, z, s in ascending order.\nAnswer: s, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 537248183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of i**8\/168 - 19*i**7\/105 - i**4\/6 - 8*i**2 + 4. Find the second derivative of y(m) wrt m.\nAnswer: 40*m**3 - 456*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -5*n + 40, -2*f + 14 = -190*n + 193*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 25*a**4 - 3*a**3 - 62*a. Let p(f) = -51*f**4 + 5*f**3 + 123*f. Let h(n) = 3*p(n) + 5*t(n). What is the second derivative of h(w) wrt w?\nAnswer: -336*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d + 10. Let f be u(5). Let g(x) = 0*x + f*x - 2 + 1 + 3*x. Calculate g(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483483088 is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j**2 + 25*j + 12. Let v be (-18)\/30*-10 + 1. Determine c(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 27*t + 75. Let g be p(24). Which is the fourth smallest value?  (a) 3\/5  (b) g  (c) 0.4  (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -211*l + 57. Is v(-3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 89, 11, 2, 5, 56, 0 in increasing order.\nAnswer: 0, 2, 5, 11, 56, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1048 * 0.5.\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1299686238 to the power of 1\/2, to the nearest integer?\nAnswer: 36051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 a, and 1 l when three letters picked without replacement from aataaataltaawa?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22610 = 3*b - 15382. List the prime factors of b.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-26)\/(-117))\/((-2)\/3)*-27. Suppose -88 = -r*d + 5*d. Find the second derivative of 26*i - 21*i - 21*i + d*i**4 wrt i.\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l + 17. Let v be t(-14). Suppose 81 + v = 4*a. Calculate the remainder when a is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-6) - 102\/(-18). Let m(s) = 3*s + 11. Let f(l) = -l - 3. Determine j*m(c) + 22*f(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.08  (b) -5  (c) 0  (d) 2\/17  (e) 1042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5 - 107*k**4 + 415*k**3 - 309*k**2 = 0. What is k?\nAnswer: 0, 1, 3, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 13872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 53*r**2 + 4*r. Let t(q) = q + 1. Let k(j) = -a(j) + 2*t(j). Find the second derivative of k(c) wrt c.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7870619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54*q**2 + 55*q**2 - 32*q**2 to h*q + o*q**2 + x and give o.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 458 and 2519?\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 82 + 153. Suppose y - 15 = -4*g. Let u = -17\/2 - g. Are u and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -6 + 9 - (-1 + -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z**3 + 3*z**3 - 4*z**3 + (2 - 11*z**2 - 2)*(3*z + 2*z - 7*z))*(z**2 + 0*z**2 + z**2) - 7*z**5 + 13*z**4 - 13*z**4.\nAnswer: 35*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*h**2 + h**2 - 3*h**2)*(0 + 2 + 1).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001011011000000110 (base 2) in base 13?\nAnswer: 16cb04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1349*i**2*n - 2*i**2 + 453*i*n + 4*i + 146396400*n wrt i.\nAnswer: 2698*i*n - 4*i + 453*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 67467033 to the nearest integer?\nAnswer: 8214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1862, 3618, 5374, 7130, 8886, 10642?\n\"Answer: 1756*x + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 5 + 41 = 0. Suppose 2*i - 5*t - 68 = 0, -3*i + o*t + 102 = 4*t. What is the smallest common multiple of 4 and i?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 258552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1016271 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t - 6. Let u be l(-6). Let a be (8\/(-10))\/((-50)\/(-125)). Let b be (-22)\/(-33) + a\/3. Is u < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/8*(1 - -1). Suppose -3*z = -12 - m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(425) + 0)*3 - sqrt(425)))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12.70000139 + -12.7. What is u rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -485.\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3179 greater than or equal to 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 59 = -5*p, -3*p = 4*w + 8571 - 8602 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8409755 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8337975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 593*l - 587*l - 60 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6436212 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(170) - 2*sqrt(170))*-3)\/((sqrt(60)*-1)\/sqrt(12)))\/((sqrt(200) - (((sqrt(200) - -2*sqrt(200)) + sqrt(200))*-1 - sqrt(200)))*1).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138 + -128308.9.\nAnswer: -128446.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuqq when four letters picked without replacement from usuusuuuuuqsqussuuuu.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 365*g**3*w**2 + 2*g**3 + 184*g**2 wrt w?\nAnswer: 730*g**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -439*a**2 - 161*a**3 + 160*a**3 + 107*a**2.\nAnswer: -a**3 - 332*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4 + ((sqrt(108) - sqrt(108)*-2) + sqrt(108))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 - 3690*k + 3690*k + 62)*(-39*k - 3 + 57*k + 4).\nAnswer: 18*k**3 + k**2 + 1116*k + 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1890)\/3465*(-22)\/2*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:02 AM and 2:39 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 118*w. Let v(a) = -7*a. Determine v(m(c)).\nAnswer: -826*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223*b - 118*b - 102*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7*l**2 + 265*l - 265*l + 5*l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -3.40073  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -984014930 + -15957.8.\nAnswer: -984030887.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(2\/5))**36\/(u**(2\/3)*u)**6)\/(u**(-2\/7)\/u**(-2\/3)*u**(-1\/3)*u\/(u\/u**1)) assuming u is positive.\nAnswer: u**(352\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 43 - -4) + 2\/18*36\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 176 = -164. Let w(x) = 5*x**2 - 6*x - 2. Let u(r) = r**2 - r - 1. Determine p*u(j) + w(j).\nAnswer: j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 10*k. Let h(f) = -1. Let d = -2200 - -2202. Calculate d*h(b) + m(b).\nAnswer: 10*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 6:20 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -162000*g**4 + 388800*g**3 + 39960*g**2 + 1344*g + 15.\nAnswer: -3*(2*g - 5)*(30*g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + (-9 - 1) + 34?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + 6*d + 45. Let p be v(10). What is the second smallest value in -1, -0.04, p, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/230369 smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 7:31 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 874445 by -1223.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 134343768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g**2 + 2*g**2 - 16631548906848853 + 16631548906848853.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*p + 2*p + 4*p - 2*p - p + 4*p - 64*p + 53*p - 122*p - 4*p + 2*p + p + p - 2*p - p + (1 - 3 + 4)*(0 + 0 - p) + p - 3*p + 3*p.\nAnswer: -130*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 11:59 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -120.7 - -276.5827\nAnswer: 155.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Is 2105217768 a multiple of 7782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of i**5\/5 - 7*i**4 + 80*i**3 - 416*i**2 + 2*i - 35. Factor w(c).\nAnswer: 4*(c - 13)*(c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q = 4*q + 99. What is the greatest common factor of q and 285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 13. Let c(u) = -2*u - 3. Let i(r) = 3*r + 5. Let w(d) = b*c(d) + 3*i(d). Let n(k) = k**2. Calculate w(n(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + (-21)\/(-6))*2. Calculate the greatest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 >= 38\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4866 + -4796. Solve -20*s = -6*s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 0) + -47 + -23 + 63?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98532 - 49308 - 49229 - 6*i.\nAnswer: -6*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 4. Let s(u) = -u - 5. Let w(k) = -4*n(k) - 5*s(k). Let y = 266 + -155. Let z(g) = -53 + y + 3*g + 2*g - 4*g - 56. Give -2*w(q) + 9*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 510054 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19318*i**3*x**3 + 9*i**3*x**2 + 2*i**2*t*x**3 + 30*i**2*t - 2*i**2*x**2 - 9*i*t*x wrt x?\nAnswer: -115908*i**3 + 12*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3458.\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.173 - -0.273. What is the third biggest value in -1\/5, -3, k, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -45562 + -5?\nAnswer: -45600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 105\/(-70)*16\/6*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2940 = 3*h - 3*u, 2*h + 5*u - 1953 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 17*y**2 - 7*y - 9. Let u be l(16). What is the greatest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4816916796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5310628102.\nAnswer: 2, 13, 23, 67, 132547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3935071 divided by -102?\nAnswer: -3935071\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 272 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -6 - (-7 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -8 + 2. Let g(v) = -19*v - 6. Let f be g(j). Suppose -2*b = b - f. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 s when four letters picked without replacement from {s: 8, f: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 22. Let o = 61 - 33. Is (60\/o + m)*-63 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9920d6 (base 14) to base 9.\nAnswer: 10682766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13213101*g*m**3 - g*m**2 + 18*g*m - 3*g - m**2 + 2473*m - 1 wrt m?\nAnswer: -79278606*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 704 = 16*i - 5*i. Suppose g + 2*h - 32 = -2*g, -4*g + 52 = 5*h. Calculate the highest common factor of g and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -7*d**2 + 332*d + 23. Calculate k(48).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -97*c - 17\/5*c**6 + 0 + 0*c**3 - 75*c**2 + 0*c**5 + 0*c**4. Differentiate s(u) wrt u.\nAnswer: -408*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45648740 divided by -736270?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 48 - 51. Suppose 0 = 5*n - 4*k + 5, 40 = 5*n + 5*k. Which is the closest to h?  (a) 0.4  (b) n  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1466 + 1468. Let p(t) be the third derivative of -1\/27*t**6 + 7*t**v - 1\/15*t**5 + 0*t - 8\/945*t**7 - 7\/108*t**4 + 0 - 1\/27*t**3. Factor p(i).\nAnswer: -2*(i + 1)*(2*i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**4\/m*m*m*m*m**2 assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*s + 4*s + 7*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/1819 + -5379\/47294. Put 0.4, -2\/9, r in descending order.\nAnswer: 0.4, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -158 + 6\/2 + -1. Let p = m + 292. What is the highest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 + 2*c**2 + 46*c - 7. Let d be k(-6). Suppose -d*g = 3*o - 556, -324 = -3*o - g + 236. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -281467 + -67033. What is o rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t**3 + 3*t**3 + 7*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-394 + 12*n**2 + 390 - 3*n + 0*n**2)*(0 + 4*n + 0).\nAnswer: 48*n**3 - 12*n**2 - 16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -802400 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 444*x**6 - 1110*x**2.\nAnswer: 53280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -261 - 79*o + 52*o + 24*o to the form h + u*o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 - 11 - a**2 + a**2 + 2. Let c be y(-4). Does 24 divide ((-18)\/c)\/((-1)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2 - 3*x + 33. Let s(z) = -z - 12. Let d be s(-6). Does 41 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**3 - f**2 + 2*f + 1. Suppose 0 = 4*q - 0*y + 3*y - 5, 5*q - 6 = -4*y. Suppose 4*n - 10 - q = 0. Let c = n - 5. Determine k(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 2. Let p = 8 + g. Suppose 0 = 2*o - 3*o + p. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48890.\nAnswer: 2, 5, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280*b - 1140 = 275*b + 5*r, 3*r = 2*b - 459. Suppose -3*o + 25 + 50 = 0. Calculate the highest common divisor of o and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56774761514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 242048191?\nAnswer: 7, 11, 37, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/11, 0.1, -2\/9, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) -2.21  (b) -5  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + 0. Suppose -8 = -2*z, 2*z + 52 = k*f + 6*z. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -8. Factor -7 - o*w**2 + 2 + 4 - 6*w - 3.\nAnswer: -2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 33*z + 35*z - 14 - 118, 3 = 3*z for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2*(q\/(q*q**(37\/3))*q*q*q)\/q)\/(q\/((q**(-28)*q)\/q)*q**28) assuming q is positive.\nAnswer: q**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13025\/6 + 2171. Let v = 0.24 + 7.76. Sort v, l, -5, 1 in ascending order.\nAnswer: -5, l, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 306654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*d + 35178 - 120707. Let a = -1939 + d. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -21000, -42046, -63092?\n\"Answer: -21046*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -g**7\/3360 - g**6\/360 - g**5\/96 - g**4\/48 + 2*g**3\/3 + 2. Let f(n) be the third derivative of j(n). Factor f(v).\nAnswer: -(v + 1)**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 165799675.\nAnswer: 5, 97, 68371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y - 79 = -115. Let -11*v**2 - 105*v**3 + 92*v**3 + y*v + 8*v - v**4 - 50*v - 37*v**2 = 0. Calculate v.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of -f**5\/12 - 5*f**4\/3 + 50*f**3\/3 + f**2 - 55*f. Suppose h(l) = 0. Calculate l.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 3*u = 3*j + 41, -j - 2*u - 21 = 0. Let z = -27 - j. Is z smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274732308 to the power of 1\/2, to the nearest integer?\nAnswer: 16575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {f: 4, y: 2, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -285.3 + 270. Let o = -15.6 - m. What is the smallest value in o, 2\/11, 0.08?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4473 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 190840411 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**19\/((q*q**(-1\/14)*q)\/q))\/((q**(1\/2)\/q)\/(q\/((q*q**18\/q)\/q)*q)) assuming q is positive.\nAnswer: q**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -23*q**4 + 2329107*q**3 + 8101499*q**2 + 2126685*q - 3645684 = 0. What is q?\nAnswer: -3, -1, 12\/23, 101269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2000\/9 + -79109\/360. Calculate the common denominator of -7\/32 and u.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*(74 + -71 + (-15)\/4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*t + 3*t - 12. Let a be (-3 - -1) + (t - 2) + 4. Sort -2, a, -4.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*b**3 - 21*b**3 + 13*b**3.\nAnswer: 84*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 - (68 + -78)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 87554186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 18*c**2 + 50*c - 566. Determine f(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 483.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 13*n + 39. Let x be b(-3). Solve -4*i = -9 + 1, x = 5*k - i - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 + 5*w**2 + 1 + 6*w**2 + (0 - 2*w + 0)*(0*w - 2*w + 0*w) + w**2 + w**2 - w**2.\nAnswer: 19*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a + 12. Let z be w(-9). What is the derivative of -2*s + 0 - z + 1 wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -307*k + 155*k + 150*k. Let m(w) = -32*w**2. Give h(m(j)).\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/2  (b) -2\/1349  (c) -6\/11  (d) -0.5  (e) -8  (f) 292\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xqxxqdhxauaxxxuuah. Give prob of picking 1 u, 1 x, and 1 a.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2931697 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-24)\/(-28))\/(2\/14) - 2. Let j = 3 + 0. Put -2, a, j in ascending order.\nAnswer: -2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 67 = 55. Solve 4*f = 2*r - p*r + 15, f = 5*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 g when three letters picked without replacement from {r: 5, g: 1, y: 12}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 + 18*s - 77. Let g be w(8). Solve 0 = -g*u - 5*l - 12, 0 = 2*u - 4*l + 1 - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 4371144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -942\/3841 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ixxxdixiixxxdmix. What is prob of picking 1 i and 2 d?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5821*c**3*g - 9*c**3 - 32998*c**2*n**2 - 2*c*g*n**2 wrt g?\nAnswer: -5821*c**3 - 2*c*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*n**2 - 29348 + 29348)*(0*n - 3*n + 2*n).\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 4)*(-2*c**2 + 2*c**2 - 3*c**4) + (-3 - 2*c + 0*c + 4*c)*(-3*c**3 - 7*c**3 + 3*c**3) to z + y*c**4 + i*c + g*c**2 + p*c**3 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from oqqoiiiioqoiqii.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 - 157*d + 1526. Calculate j(66).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*x - 62*x + 236*x - 61*x - 62*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 587 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11798 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 94, 11075, -5, -36 in increasing order.\nAnswer: -36, -5, 94, 11075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g - 4 + 4 + 3*g + 2*g - 3*g + (-1 - 2 + 2)*(-3*g + 2*g + 0*g) + 3*g + 0*g - g - 2*g - 4 + 4)*(-3*g + g - g) in the form i*g**2 + p + m*g and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 4) + (-12)\/(-54)*-35 + 4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -541  (b) -2  (c) -0.5  (d) -0.04  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 + 24532 - 24102 - 2*h**2)*(3*h**3 + 27 - 27).\nAnswer: 3*h**5 + 1290*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {x: 1, a: 3, f: 5, v: 2, l: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, -5\/3, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -98*t + 103*t - 20. Suppose 2*f = 5*o - 3 + 117, t*o = f - 63. Calculate the remainder when 182 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -67 - -53. Let f = 54 + x. Suppose 7*d - f = 2*d. Calculate the smallest common multiple of 14 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.604 + -0.204. Put v, 2\/13, -17 in ascending order.\nAnswer: -17, 2\/13, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**3 + 0*o - 1\/8*o**4 - 2*o**2 + 0 = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -168, -380, -676?\nAnswer: -1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 1 + x**4 - 2*x**3 + 2*x**2 - 3*x - 1 + 4*x**3 to q*x**4 + f*x**2 + s*x + y + l*x**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (23 + 2)\/5*1. Solve p*c + 17 + 6 = -4*x, -4*c + 5*x - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 338 + 109*x + 15*x - 340.\nAnswer: 124*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -0.15562\nAnswer: -0.015562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 - ((-17 - (-1 - 1)) + (-263 - -212)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*h + 424, h - 113 = 4*x - 22. Let p = 112 - h. Let v(f) = -f**3 + 2*f**2 + 3*f**2 - 6 - 1. Determine v(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 1268\/(-320))*19080\/(-48) + -18 + 3.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38984189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 2\/63*b**3 + 3 + 0*b - 2\/21*b**2. Suppose m(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-2))\/((-18)\/(-63)). Let b(a) = 4 - a + 11*a - 5 - a**2. What is the tens digit of b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -314738*a**3 + 2*a**2 + 797*a - 426.\nAnswer: -1888428*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -656, 5, 4 in increasing order.\nAnswer: -656, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 91*t - 219. Let g = -390 + 401. List the prime factors of s(g).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 30*y - 10. Let k be c(10). Let p = -133 + k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -3, 3, 2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14*u - 12*u - 61*u**2 - 30*u wrt u?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + s = 124. Suppose -3*o = -7*o + 12. Solve -p - p + o*v - 6 = 0, 5*p = -4*v + s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h + 64 + 111 = 0. Suppose -16*j + h*j = 2016. What is the greatest common factor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*o**2 - 18 - 25 - 139 - 134 - 3*o**2 in the form b*o + x*o**2 + f and give f.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, -0.5, 0.5 in increasing order.\nAnswer: -0.5, -2\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 4148*v**2 - 4*v**3 + 4148*v**2.\nAnswer: -4*v**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 5*y - 25. Let c be m(8). Put 8, c, -3, -5 in increasing order.\nAnswer: -5, -3, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*o + 9*o. Let z(r) be the second derivative of o - 3\/10*r**5 - 2\/15*r**6 - 3\/16*r**4 - 1\/24*r**3 + 3*r + 0*r**2. Find s such that z(s) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 61.6 from 0.5.\nAnswer: -61.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b + 1. Suppose 2*h - 2*g = -3*g + 279, -285 = -2*h - 3*g. Let d = h - 137. Let w(a) = 3*a**2 + 3*a - 4. What is d*w(j) + 5*k(j)?\nAnswer: 3*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24211 divided by 11.\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 4:09 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6514494 divided by -1\nAnswer: 6514494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s**2. Suppose -4*r - 1 = -9. Let c(n) = -n**2 - n**r - 3*n**2. Give p(c(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13866 divided by 15.\nAnswer: 4622\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - l**3 + 0*l + 0*l - l**3 + (3*l + 2*l - 6*l)*(-1 + l**2 + 1) + (-1 - 2*l + 1)*(0 + 0 - 1)*(5*l**2 - 4*l**2 - 2*l**2).\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 11943817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-7)\/(-35))\/(3\/(-5)). Sort l, 0.1, 5, -1\/2 in decreasing order.\nAnswer: 5, 0.1, l, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/100*(1\/(-2))\/((-60)\/(-25))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362*k + 688 = 360*k. Let h = 736 + k. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffofbbffbffc. What is prob of picking 2 f and 1 b?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 96*z - 92*z - 16. Suppose -2*u + 27 = -23. Solve z*y = -y - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-100)\/125*45\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.48, -0.2.\nAnswer: -0.48, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 557740 and 193.\nAnswer: 107643820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10056 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: In base 12, what is a7 + 11?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(126\/(-567)*756)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -27. Suppose -3*w + 70 = -u. Suppose -2*s + 25 + w = 0. What is the greatest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 7:13 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.112 rounded to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1703 - 1337 = 5*s. Let j be 2\/(-1) + 489 + -1 + -7. Let c = j - s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 226*h**2 + 76*h - 442. List the prime factors of i(7).\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -617, 0 in decreasing order.\nAnswer: 0, -1, -617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2540 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -446?  (a) -2\/815  (b) -5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -152 + 89. Let w be (-4)\/(-6) - r\/27. Differentiate -30*p**w + 1 + 30*p**3 - 3*p**4 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17b4b - -79?\nAnswer: -17a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9527*w - 9527*w - 1089*w**2 + (-2*w + 3*w - 2*w)*(-w - 4*w + 3*w) + 0*w**2 - w**2 - w**2.\nAnswer: -1089*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 908*h - 12440 - 14800 = 0 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -164 (base 8) to base 16.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 24*g - 7. What is j(-9)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 0*n - 512 = -n, -2*n - 266 = -2*l. Suppose 455 = 12*q + 59. Calculate the remainder when l is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -4*z + 3. Let l be j(-4). Let k = l + 6. Suppose 15 = -34*c + 37*c. What is the greatest common factor of k and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**15)**17)**42 assuming j is positive.\nAnswer: j**(-9996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -25*w**5\/6 + 41305*w**4\/3 - 692401*w**3\/6 + 396748*w**2\/3 + 1384120*w\/3 + 659200\/3 = 0.\nAnswer: -4\/5, 5, 3296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 117 - 112. Let d = 0.9 - -3.1. Sort i, d, 0.4 in descending order.\nAnswer: i, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-195)\/(-520) - (-250)\/16. Solve 16 = g*j - 12*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 + v + 26. Let h be d(0). Let w = -7 + 13. Let i = h - w. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -3 - -3*243. Suppose 0 = -10*t + 9*t + 6. Suppose t*i = -7*i + c. Calculate the greatest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -275, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 276 - -42937?\nAnswer: 43102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*b - 3*s, 4*b + 18*s = 20*s + 6. Suppose -7*h + 10*h = -b*n + 2471, 0 = -4*h - 12. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of -g**4\/24 - 3*g**2. Let c be l(-2). Suppose -2*y = -5*j + 96, -j + c*j + 2*y - 24 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 106133352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1022910*x**2 + 1581518*x wrt x?\nAnswer: 2045820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8018 - -8017.6. Let l = 133 - 3459\/26. Put -3, p, 0, l in descending order.\nAnswer: 0, l, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjvvwjzwjjjvvojz. What is prob of picking 2 j and 2 z?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + -13. Let z(q) = -22*q**3 - 32*q**2 - 14*q + 14. Let v(t) = 9*t**3 + 16*t**2 + 7*t - 7. Let c(u) = 5*v(u) + 2*z(u). Is c(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*w - 20. Let z(c) = -2*c + 0*c - c + w*c. Let v(h) = -4*h - 4. Let o(f) = 4*f + 3. Let d(p) = -4*o(p) - 3*v(p). Calculate z(d(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 5*l**2. Let u(q) = -5076898*q**2. What is u(w(g))?\nAnswer: -126922450*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y*y**(-2)*y)*y)\/y)\/y)\/y*y**9*((y\/(y\/(y*y\/(y*y**3*y)*y)))\/y)**(-20) assuming y is positive.\nAnswer: y**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**4\/12 + i**2\/2 + i. Let t(z) be the first derivative of b(z). Let m(j) = 5*j**2. What is t(m(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 5977\nAnswer: 11954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 1566*b**2 + 259420*b.\nAnswer: 2*b*(b - 545)*(b - 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 - 5*u**2 + 7*u - 4. Let p be n(4). Let o(x) = -x + 9. Let b be o(p). Let k be 1*(0 - (-2 + b)). Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 4*j - 5. Suppose 4*r - 44 = -j*p, 0*r - 40 = -2*p + 4*r. Solve 3*c = h - p, 0*h - 3*c = h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120021 - -220200112?\nAnswer: 221020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 108 = -6*l. Suppose -2*w - 3*w + 35 = 0. Suppose -w = -2*r + 21. What is the remainder when l is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g\/(g*g**(-1\/13)*g*g)*g))\/g**6)**(2\/15)*(g\/(g*g\/(g*g**(1\/2)*g))*g**7)**(-47) assuming g is positive.\nAnswer: g**(-31193\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47528.\nAnswer: 2, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(8\/5))\/((-147)\/(-588))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7 - 9150454353138?\nAnswer: -9150454353138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/8  (b) -2\/3  (c) 8\/207  (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1309 divided by 74.\nAnswer: 1309\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {n: 3, c: 3, s: 1, r: 13}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, g: 2, i: 1, a: 8, r: 3, w: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6258009?\nAnswer: 3, 2086003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 20.4. Let b = -0.3 + n. Let k = 4.6 + -5. What is the biggest value in -0.1, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3\/7)\/(f**(-1\/4)*f))\/(f**(-29)\/f*f**(-22)\/f))**(-3) assuming f is positive.\nAnswer: f**(-4353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -1 - 30*s + 16*s + 11*s. Let u(n) = 4*n + 2. Let o(z) = 3*z. Let r be o(3). Suppose r = 2*f - 5*f. Calculate f*h(m) - 2*u(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51224 + -51219.9077. Let u = -4 - 0.1. Let t = u + x. Round t to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 111232 (base 4) in base 6?\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (221\/(-1768))\/((-2)\/(-4*3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -260, 272, 804, 1336, 1868, 2400?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/2451 + 85801\/19608. What is the common denominator of 149\/6 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-4)*4\/(-3). What are the prime factors of 3\/2*(2 - g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + 24900009\/(-6)*2. Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = k - 1222, 4*o - 1043 - 573 = 2*k. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5356062533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49772, -50872, -52706, -55274, -58576, -62612?\nAnswer: -67382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 26*o - 28*o = 540, -2*x = -3*o - 539. What is the smallest common multiple of x and 10?\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + 0)*-3 - (sqrt(60)*-1)\/sqrt(12)) + -2.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*o + 2\/5*o**2 - 2\/5*o**3 - 4\/5*o**4 + 0.\nAnswer: -2*o**2*(o + 1)*(2*o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5)*-1*-1 + 1.\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15853 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 43*u**2 - 69*u - 253. What is s(-4)?\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86 - -86. Suppose v = 3*k + 3*u - 6, k - 4*u = -2*k - 8. Let p(z) = z**2 - 3*z + 4. Let n be p(k). What is the greatest common factor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbvvbvvbbvb. Give prob of sequence bv.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of 221\/120*x**6 - 169\/6*x**3 + 0 + 0*x**5 + 0*x**4 + 0*x + 208*x**2. Differentiate s(u) with respect to u.\nAnswer: 663*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -12, 5 in decreasing order.\nAnswer: 5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 64*c - 28 = -66*c, -p = c + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8201074333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -188 - -391. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 4*p + 1 = 49, -p = 4*o - 33. What is the first derivative of 25*g + 34*g - 25*g + o wrt g?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1911392 greater than or equal to 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*q**4 + 41*q**4 + 2*q**4 + 57 - 25*q**4 with respect to q.\nAnswer: 224*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 836 divide 994705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 2 m, and 1 e when four letters picked without replacement from {m: 2, t: 1, s: 1, e: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2750 and 2002750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 863\/7 - 123. Let l(z) = z**2 + 8*z + 9. Let u be l(-6). Which is the closest to 0?  (a) -1  (b) u  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61401 = 3*f - 104091. Let j = f + -6067947\/110. Calculate the common denominator of j and -37\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 1:21 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-4)\/4)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 12*z - 1. Let c be b(1). Suppose 0 = -3*n + 2*t - 31, 3*t - 31 = 4*n + c. What is the units digit of (-3 + 54)*(-3)\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/12 + 183\/(-12). Let o be (3\/9)\/(1\/s). Let h = 1 + 13. Which is the second smallest value?  (a) 1\/2  (b) o  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + (8 - 4 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 765830 and 58910?\nAnswer: 765830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4*r**2 - 9*r. Let b(l) = l**2 + 2*l. Suppose -3*p = p - 36. Let j(s) = p*b(s) + 2*t(s). Let c(z) = 7*z. What is c(j(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1170)\/(-21))\/(21850\/(-30590)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108095441 divided by 32393.\nAnswer: -3337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12 + 0)*(-27)\/18. Let l be (-2)\/8*-2*u. Solve i + d + l = -0*i, 2*d + 26 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -r**6\/360 + 223*r**5\/90 - 445*r**4\/72 + 56*r**2 + r + 6. Suppose s(v) = 0. What is v?\nAnswer: 0, 1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -a028 (base 11) to base 14\nAnswer: -4c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4 = 0, 4*h = -30*f + 32*f + 60442. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 18. Let s(b) = -a*b + b**3 + 3 + 2*b**3 - 5*b**3 + 5*b**2 + 4. Let g(i) = -2*i**3 + 4*i**2 - 3*i + 6. Give 7*g(p) - 6*s(p).\nAnswer: -2*p**3 - 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*a - 11 = 0, 0 = 4*g - 29*a + 31*a - 10. Suppose 0*i + 167 = g*i + r, 4*i + 5*r - 241 = 0. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1222\/3675 - 1\/1225. Which is the nearest to -3\/7?  (a) 3  (b) t  (c) -1\/4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2657 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2900137?\nAnswer: 71, 40847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w + 7. Let l be r(-7). Suppose -5*v + 4*g + 161 - 26 = l, v - 4*g - 43 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13\/8 + -103\/24. Calculate the common denominator of 32\/11 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237848 = -15*n + 563754 + 91648. What are the prime factors of n?\nAnswer: 2, 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**3 + 73*l**3 + 32*l**3 + 13*l**3 - l**3.\nAnswer: 121*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*d + z, -51 = -5*d - 4*z + 3*z. Suppose -g - 11 = -l + 3*g, -g = 4*l - d. What is the remainder when 16 is divided by l\/6*-6 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 - 1 - -4*(-94)\/(-8). Suppose 48*i - w*i - 714 = 0. What is the remainder when i is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**4\/13 - 64*n**3\/13 = 0.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7693  (b) 2\/3  (c) -1  (d) 0  (e) 1955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -11221, -22443, -33665, -44887, -56109, -67331?\n\"Answer: -11222*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-14))**(-1\/5)\/((a*a**(-1\/3))\/a*a\/a**(-4)) assuming a is positive.\nAnswer: a**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**4 + 4 - 4)*(10 + 5*j - 24 + 13).\nAnswer: -5*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -20022202020101211?\nAnswer: 20022202020101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i - 1. Suppose 4*n + 6 = n. Let w be g(n). Solve w*o - 24 = 4*p, 5*o - 2*p = 21 + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j + 8*j + 7*j + 14*j - 38*j + 15*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 242 + -68. Let f = o + -83. Is f a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - 211?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2. What is i(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15154918153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156*k**2 + 154347 - 154347.\nAnswer: -156*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 415216326?\nAnswer: 1\/138405442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39 - -44. Solve 3*t = q*i - 12, 5*i + t - 17 = -t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425071 is divided by 1346.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89582.\nAnswer: 2, 47, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/2919)\/(7356\/(-12873))?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 640*w + 2. Let x(c) = 3*c - 2. Determine t(l) + x(l).\nAnswer: 643*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.2  (b) 2\/9  (c) 2\/3  (d) -4  (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(60)\/sqrt(3) + sqrt(20))\/sqrt(10).\nAnswer: -4 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -154\/67 + 18265\/8442. Let p = -70896 - -9925311\/140. What is the common denominator of x and p?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99) + -3 + -5)*5.\nAnswer: -40 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 122651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 + 9*w + 14. Let f be v(12). Let p = -156 + f. Suppose p = 5*d - 4*m - 192, 3*m - 254 = -4*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.619048 to 2 dps.\nAnswer: -13.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168) - (sqrt(168) + sqrt(168) + -2*sqrt(168)))\/sqrt(3))\/(sqrt(32)*1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 10:30 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2912 = 22*b + 2626. Let j = 84 - 34. What is the remainder when j is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p - 4. Let z be i(6). Let j = 1 - z. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -3*y**2. Suppose -7*u + u = -18. Suppose 0 = i + 3*t - 8*t - 30, 5*i = u*t + 62. Let k(c) = -8 - i*c + 15*c + 8. What is v(k(s))?\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 2437.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 58.29057ml?\nAnswer: 0.05829057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*d + m, 4*d + d = 3*m + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p**2 - 1285*p**3 + 819*p**3 - 2 + 485*p**3 + 2.\nAnswer: 19*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 2707527676.04\nAnswer: -2707527677.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 6 + 30 = 0. Let l be 2\/(-9) + (-249)\/(-27). Suppose l*i = x*i + 115. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10414?\nAnswer: 2, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38.178 + 1.378. What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**(-1\/3))**17\/(q**(-2\/5)\/q**1)*(((q*q\/q**(-3))\/q*q)\/q*q**(2\/7))\/(q**(1\/9)\/(q*(q**6*q)\/q*q)) assuming q is positive.\nAnswer: q**(13201\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 217*w + 4031. Give g(-18).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 9, 20, 31, 42, 53, 64?\n\"Answer: 11*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 2.9 * 0.3688\nAnswer: 1.06952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 + (6\/2)\/3. Let g be 676\/(-28) + x\/(-21). Let i = 26 + g. Solve -i*d - 5 = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0672072 - -0.4339.\nAnswer: 0.3666928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -3, 0.1, -21, 8.6?\nAnswer: 8.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1392806 is divided by 278561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 6) + (7 + -10 - (0 + -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5027.\nAnswer: 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 492 divide 265188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of t**5\/60 + t**4\/12 - 8*t**3\/3 - t**2 - 36*t. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1228221, -4913053, -11054447, -19652409, -30706945?\n\"Answer: -s**3 - 1228275*s**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 + 18 - 30*t - 64*t + (3 + 2 - 3)*(t - 4*t + t) to f*t + n and give f.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 - 3)\/(6\/(-4)). Let f be v\/9 + (-38)\/(-9). Suppose 5*k = 4*b - 367, -f*b + 397 = -3*k + 4*k. Calculate the highest common divisor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -162*z - 1495. Is f(-113) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 114 - 70. Suppose -2*f = -13*f + c. Suppose -a + 3*y + 146 = -50, 0 = a - f*y - 197. What are the prime factors of a?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0226431 and 3?\nAnswer: 2.9773569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6483 - 6179. Calculate the greatest common factor of t and 7448.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (935\/(-33))\/((-30)\/324). Suppose 4*x - 220 = -3*y - 87, 3*y = 4*x - 139. Calculate the greatest common divisor of x and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 120*l + 769 with respect to l.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**1))\/f**(1\/67) assuming f is positive.\nAnswer: f**(66\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y - 217 + 217. Let w(p) = -2*p. Determine x(w(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2*sqrt(65)\/sqrt(5).\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*a**3*d**3*f**2 + a**3*d**3 - 22*a**3*f**2 + a**3*f + 4*a*d*f**2 - 25*d**2 + 5*d*f wrt f.\nAnswer: -8*a**3*d**3 - 44*a**3 + 8*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**3\/5 + 591*v**2\/5 + 35586*v\/5 - 36176\/5 = 0.\nAnswer: -56, 1, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkjkkkjk.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 12:18 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4*b - 3*b + 49 = 0, 2*y - 3*b + 35 = 0. Let q = y - -275\/21. What is the smallest value in -2\/11, q, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2)\/((-150)\/(-500))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-5))\/(84\/(-35)). Let p = 22123.4 - 22126. Sort 4, p, -4\/3, x in decreasing order.\nAnswer: 4, x, -4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*q*y**4 + 377*q*y**2 - 3*q*y - 3*q + 4*y**4 - 57*y**3 + y**2 - 2 wrt y?\nAnswer: -192*q*y + 96*y - 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40a (base 11) to base 16.\nAnswer: 1ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1671, -1676, -1681, -1686, -1691, -1696?\n\"Answer: -5*i - 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 151296023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Do -1521 and 0.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -160.7 + 163.7. Which is the smallest value?  (a) u  (b) 344  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8526 divided by -1\nAnswer: -8526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**3 + n**2 - 11. Let g(r) = -r**3 - r**2 + r + 1. Let w(a) = g(a) + u(a). Let h(z) = -z**2 - 28*z - 27. Let q be h(-27). What is w(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8488 (base 13) in base 7?\nAnswer: -104353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x - x + x - 4*x + 6. Let k be p(-3). Calculate the highest common divisor of k and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amaaaaadmmad. What is prob of picking 1 d and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of 3*g**8\/2240 + g**7\/224 - g**6\/240 + 7*g**3 - 19*g. Let j(s) be the second derivative of o(s). Determine q so that j(q) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-5))\/((-1)\/30*-9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -46 + 41.2. Let l = 0.8 + r. Sort l, -3, -0.3 in decreasing order.\nAnswer: -0.3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (950*h + 627*h + 318*h + 151*h + 227*h)*(4 - h - 4).\nAnswer: -2273*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -13 - (46\/(-1) + -4). Calculate the greatest common factor of v and 2997.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000005951 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -9 + (11 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -19, -3, -6, -41, -10, -2.\nAnswer: -41, -19, -10, -6, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.9 + -0.8. Suppose -2*m = -3*l - 17, 4*l = m + 3*m - 24. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 667921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8.78 * 3\nAnswer: -26.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 1*(3*-4*(-1 + sqrt(847))*2)**2)*-1.\nAnswer: -488453 + 12672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.11 in 7\/3, 13, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1095*k + 2396*k + 91462 - 193529 - 135321 = 0 for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 11*z**2 - 16*z - 5. Let k be q(12). Let s = k - -234. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -337*x - 15839. Calculate i(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 4:48 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -211964 and -155976.\nAnswer: -367940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.29 - 1.29. Let v = -3 - -2.6. Let m = -7 - -6.7. Sort m, v, y in ascending order.\nAnswer: v, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - o)*(1 + 0 - 6)*(-1 - 3*o + 1).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 104, 230, 408, 638?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 290592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -4710 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 39 = -9*v - 35*v - 0*o, -27 = 4*v + 4*o - 183 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4624672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 24*b**3 + 3137624*b**2 + 1150119 wrt b?\nAnswer: 72*b**2 + 6275248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 43267, 86520, 129773, 173026, 216279?\n\"Answer: 43253*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14439.3 - -14439.4. Let r = -16 + 27. Sort q, 2, r.\nAnswer: q, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/((y**(-2\/5)\/y)\/y))\/y)**(3\/10)*(y*y*y*y**0)\/y**(-1\/2) assuming y is positive.\nAnswer: y**(211\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270295690.\nAnswer: 2, 5, 7, 103, 37489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 663843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 2. Let g = 0 - 3. Sort g, f, 5 in descending order.\nAnswer: 5, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 22, 25, 30, 37, 46, 57?\n\"Answer: c**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, d: 5}. Give prob of sequence wddw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.067 - 2.067. What is the nearest to t in -4\/5, 3, 0.4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*k - 2*k. Suppose k*t = -2*u + 51, -u + 0*u - 4*t + 38 = 0. Suppose 0 = -l + 4*q - 5, -2*l + u = 5*q + 2. Solve 0 = l*y + 2 - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = j + 2*j. Suppose 5*t - j - 10 = 0. What is the units digit of t\/(-6)*24\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 247, -22, 31, 3 in ascending order.\nAnswer: -22, 3, 31, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133505?\nAnswer: 5, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - g + 3, h + 0*g = g. Suppose 2*a = -5*o + 17 + 18, 0 = -5*o + 5. Let l = a + h. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 8*a + 3. Suppose 3*i = -y + 16, -7*i + y + 32 = -2*i. What are the prime factors of k(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64 + 34*d**2 + 64.\nAnswer: 34*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nppppn. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -901 (base 10) in base 16?\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168)*-1*-1)\/sqrt(3))\/(sqrt(40)\/(sqrt(5) - 3*sqrt(245))).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -6)\/(15\/(-120))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(225))\/sqrt(4).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2932 = -1938. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 + 735*p - 2499. What is the ten thousands digit of u(209)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 3*k - 22 = -18 + 138, 3*k = m + 214 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -4*o + 4*i - 11, 0 = 3*o + 4*i + 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 301904209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**2 + 203087144*o - 2577774253629796 = 0. What is o?\nAnswer: 25385893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from {e: 1, l: 1, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 15871338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (165\/(-27) - -6)\/(0 + -1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -4*t**3 - 5*t**2 - 4*t + 5. Give q(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = -2*k - 5*u, 5*k + 60*u + 22 + 3 = 55*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 280842385?\nAnswer: 5, 131, 157, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -7. Let s(q) = -q**3 + 9*q**2 - 5*q - 11. Let g be s(u). Calculate the highest common factor of g and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -5, 5, -119 in ascending order.\nAnswer: -119, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from syyyyyyswvsys. What is prob of picking 1 s, 1 w, and 1 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5715 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/1)\/((14\/4)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**5 + b**2 - b + 1. Let g(f) = 8*f**5 + 2*f**4 + 3*f**3 - 17*f**2 + 13*f - 9. Let y(j) = -2*g(j) - 18*i(j). Solve y(p) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0005818 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is m in m**3\/6 + 15941*m**2\/6 - 10630*m = 0?\nAnswer: -15945, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m**5 + 5*m**3 - 5*m**3 - 2*m + (0 - 2*m**2 + 0)*(3*m**3 - 5*m**3 - 2*m**3).\nAnswer: 7*m**5 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 g when four letters picked without replacement from gpggpggggggpgg?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*b + 0*b - 24*b + (-2 + 4 - 1)*(0*b + 0*b - b) - b + 0*b + 2*b - b - 5*b + 4*b)*(-11 - 3 + 0).\nAnswer: 518*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence itf when three letters picked without replacement from {f: 7, t: 7, i: 2, n: 1}.\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -2\/64961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4372030, 4372029, 4372028?\n\"Answer: -w + 4372031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 6*p**2. Let x(s) = 3*s - 39. Calculate x(a(h)).\nAnswer: 18*h**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -82, -86, -90, -94?\n\"Answer: -4*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (80\/30)\/8 + 18320\/3. Let w = -3610 + i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*p + 1499*i - 318 = 1503*i, 3*p - 5*i = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6276 is divided by 563.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*a**3 + 20 - 22*a**3 - 17*a**3 + 38*a - 64*a**2.\nAnswer: 2*(a - 10)*(a - 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 5:41 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*f*u*z**2 - 113*f*u*z + 717*f*z**3 - 2*f*z**2 - 2639*u*z**3 + 2*z**3 - 4*z**2 + 65 wrt z.\nAnswer: 4302*f - 15834*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -23*k**3 - k**2. Calculate the remainder when j(-1) is divided by (-3)\/18*4*-9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14485, 29440, 44409, 59398, 74413, 89460?\nAnswer: 104545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 4 + 20)*(-7*y**4 - 10*y**4 + 12*y**4) + (4*y**2 + 0*y**2 - 10*y**2)*(0*y**2 + 0*y**2 - y**2).\nAnswer: -124*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (115\/(-15) + 3)*-117 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9659 is divided by 49?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l + 35. Let y(q) be the second derivative of -109*q + 5\/6*q**3 + 0*q**2 + 0. Determine k(y(p)).\nAnswer: 5*p + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149951.\nAnswer: 113, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 5*j - 16 = -2*u, -u - 3*j + 12 = 0. Suppose u*k - 9 = 72. Solve k*a + 6 = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 111 - 45. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -14 - (-726)\/55 - 222\/(-15). Solve -3*b + 10*b = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (r - 2*r - 3*r)*(-198*r - 76*r + 370*r) to d + l*r + u*r**2 and give u.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 3)*(-5 + 4 + 0)*(-53 + 65 - 86)*(1 + 11 - 28*d - 17)*(-5 - 1 + 5).\nAnswer: 2072*d + 370","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y - 5. Let p be b(21). Suppose -p*c + 9*c + 14 = 0. Determine f, given that 0 - 2\/3*f**3 + 4\/3*f**c - 2\/3*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(sqrt(72)*2).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 413949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -4*p + 23. Let r be t(-2). Solve 5*l + r = 3*c, -4 = 2*l - 2*c + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*x + 7. Suppose x*a + c = 6*c, 5*c = 2*a. Factor 1\/3*m + 2\/3*m**4 + 0*m**3 - 1\/3*m**5 - 2\/3*m**2 + a.\nAnswer: -m*(m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 - -59.973. Let d = z - 0.019. Let g = d + 0.0497. Round g to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2252\/171 - 246\/19. Put -8, 12, p, -1\/2 in descending order.\nAnswer: 12, p, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**12)**(2\/9)*(z*(z\/z**(-3\/2))\/z)\/z**15 assuming z is positive.\nAnswer: z**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 203354800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -11 - (0 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -22*b**3 + 79*b**2 + 503*b + 61. Determine o(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from keklfdkklkefeykkkdkf. Give prob of picking 2 k and 2 d.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 88, 188, 288, 388, 488?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-6)*(-870)\/(-1305)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*b - 4*l + 4, l + 6 = 4*b. Let w be 2*(-1)\/4*-8. Suppose -5*u = -7*c + 6*c, -w*u + 16 = -4*c. Sort b, -12, u.\nAnswer: -12, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(-928)\/288*3. Suppose u*c + 6*c**2 + 4 = 0. What is c?\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16818 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - -19 - 24 - 1 - 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2623*z = -1350*z - 1316*z - 1677 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9335 + 0.1665. Round q to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 90.9835 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5246 is divided by 159?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 8*m - 637. Let f = -27 - -31. Suppose 0 = -q - 3*s - s + 7, 98 = f*q + 2*s. What is the remainder when m is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vwaaawelaaaavwlaa. Give prob of picking 1 l, 1 e, and 2 w.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2, -10, -30, -58, -94?\n\"Answer: -4*t**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2418 (base 16) to base 8.\nAnswer: -22030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1017, 1020, 1033, 1062, 1113, 1192, 1305, 1458?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.16 - -19.84. Let f = 9 - x. Let n = 14.8 + f. Round n to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002418888 to 6 decimal places.\nAnswer: 0.002419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93781.\nAnswer: 191, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, s: 4, j: 9, f: 2}. What is prob of picking 1 p and 2 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -2\/13, -0.2, -11 in ascending order.\nAnswer: -22, -11, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1043, 2084, 3127, 4172, 5219?\nAnswer: 6268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 - 78. Calculate the least common multiple of 54 and f.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o - 111 - 69. Solve -2*l + 32 = o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of i**2*y + 8*i*o*y - 156*i*y - 3503*o*y - 13*y wrt i.\nAnswer: 2*i*y + 8*o*y - 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64077)\/4929*((-219)\/(-39) - -1).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.198 - -41.802. Sort v, 0.4, -4\/7, -0.5 in increasing order.\nAnswer: -4\/7, -0.5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 17\/(-68) + (212\/16)\/1. Suppose d = -3*z, 7*d - 4*z = 4*d + t. Solve -d*y = 2*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - ((-189)\/30 - -1)\/(5*(-44)\/550).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (11 - 9) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7089302, 14178589, 21267876, 28357163, 35446450?\n\"Answer: 7089287*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*t - 4413, 4*t + 3175 + 1241 = b. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1670580 and 1440.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + h - 3*h)*(-h + h - h**2) + h**3 + h**3 - h**3 - 1 + 1 + 3*h**3 + 0*h**3 + 0*h**3 + 5*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 46532*r + 3908690. Give w(-84).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/40)\/(169\/4745) + (-2)\/26.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = 14 + 7. Let s(p) = -p**2 - 18*p - 8. Let w be s(-9). Let c = w + -68. Solve 0 = m*y - 6, c*i - 5*y = -30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 0, 4*m + 60 = -m - 5*a. What are the prime factors of ((-121)\/(-2))\/(m + 175\/14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41398222 take away -2?\nAnswer: -41398220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-41)\/(-246) - (34\/12 + -1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1029390, -1029471, -1029554, -1029639, -1029726, -1029815?\nAnswer: -1029906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - 3 + 3)*(-2 + 0 + 0 + (5 + 3 - 3)*(4 - 4 + 1)) + (2 - 2 - 2*h**2)*(-2 + 3 - 3).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 24*z + 10. Let s = -145 - -162. What is the hundreds digit of n(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, m: 1, p: 1, z: 1, o: 1, d: 1}. What is prob of picking 1 o, 1 m, 1 d, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 3*y = 7*n - 13, 3*y - 1 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-36)\/216 - (337526\/18)\/(4\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - -9. Suppose -2*l - 2 + m = 0. Does 2 divide l\/4*(-24)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -227503*u**2 - 1098*u + 31 wrt u.\nAnswer: -455006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -11, -301, 2, -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/398540 and 19\/6620.\nAnswer: 131916740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 51137 smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 14 + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -330.6 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 134\/(-1072)*(-26)\/(-1)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 48\/(-60)*(-29)\/((-319)\/(-1045))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the first derivative of -l**2\/2 - l - 30. Let r(g) = 4*g + 6. What is 3*p(o) + r(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 0.22, 0.2, -2\/11, 3\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 25 in decreasing order.\nAnswer: 25, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 - -13. Suppose 0 = -v*y - 8. Put y, 2\/5, 3 in decreasing order.\nAnswer: 3, 2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(2 - 102\/(-60) - 4).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o - 3. Let y be m(-3). What is the second derivative of b**5 - 2*b + y*b - 2*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**2 + 6*g + 3. Let o be s(3). Does 9 divide o*((-147)\/6 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4483, 9020, 13557, 18094, 22631, 27168?\nAnswer: 31705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 + -0.4. Let w = c + 0.03. Let b = 0.0303 - w. What is b rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 774 divide 13313574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 82 - 321 + 86 - 3*q**4 - 113*q**2 wrt q.\nAnswer: -12*q**3 - 226*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4\/179 - -6559\/2864. Let c be 27847\/(-12) + -3 + -3. Let p = c + 2332. Find the common denominator of o and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v*v**(3\/7)\/v*v)\/v*v)*v*v)\/v*v*v**5\/v)\/(v*v*(v\/((((((v**(5\/2)\/v*v)\/v)\/v)\/v)\/v)\/v))\/v*v*v**4*v) assuming v is positive.\nAnswer: v**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**2 - f + 1. Let g(m) be the third derivative of -19*m**3\/3 - m**2 - 4*m. Let k(b) = 8. Let o(a) = -3*g(a) - 14*k(a). What is -o(r) + 2*s(r)?\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 658095.772 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*b**3 + 36*b**3 - 52*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x. Let a(b) be the third derivative of -7*b**4\/12 + 12*b**2. Give 6*a(s) + 44*u(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -151*x**2 + 228303*x - 228303*x.\nAnswer: -151*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1194154292 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18 times 0.18\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-22) + (-5)\/((-1100)\/(-60))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -5975026 - -114\nAnswer: -5974912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -429 - -447. Solve -2*c - h = -26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 6*s**2 - 8*s + 12. Let y be l(7). Suppose 0 = -4*z + 2*q + 18, 0 = -5*z - 3*q + y*q + 20. What is the tens digit of (4\/(-10))\/z - (-106)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18.5 - -10.3. Round a to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of 28\/3*j**3 + j**4 + 48*j + 32*j**2 + 70. Factor b(u).\nAnswer: 4*(u + 2)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 108604653 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -23. What are the prime factors of (2\/q)\/(4\/248)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 175081806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 0)*(88 - 88 + 18*p**2)*(2*p - 3*p + 4*p).\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23210 and 9197320?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**4\/5 + 608*h**3\/5 - 1204*h**2\/5 + 120*h.\nAnswer: -4*h*(h - 150)*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -12560 divided by 20?\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/13  (b) 0.2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2.23 times -5\nAnswer: -11.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*y = -4*y + 8, 0 = -x - 2*y + 8. Suppose 5*u + 5*r - 15 = 0, x + 15 = 2*u - r. Let o be u\/10 - 34\/(-10). Solve 0 = w - o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x - 2*x + 2*x**2 - 3001 + 98*x**2 + 3001 + (0 + 3 - 1)*(0*x - x**2 + 0*x) + 1 - 1 - 2*x**2 - 4*x**2 + x**2 + x**2 + 2*x + x**2 - 2*x.\nAnswer: 95*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, j: 9, z: 5}. What is prob of picking 3 j and 1 z?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -700650*n**2 - 20*n**3 + 700650*n**2 - 49*n + 49*n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22242 + 22281. Solve -130 = 13*d - b for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15306 + 15790. Calculate the least common multiple of 462 and s.\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 309843 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 13 - -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33\/238 - 5\/34. Which is greater: 3\/14 or z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**4\/24 - 2*r**2. Let f(m) = m**3 + 3*m - 3. Suppose 5*g = -l + 19, -g + 6 = 31*l - 33*l. Determine l*f(y) + 2*q(y).\nAnswer: -y**3 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 + 9 - 3*t**3 - 21 + 5*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the second derivative of h**5\/20 + 9*h**4\/4 + 3*h**3 - h**2 - 211*h. List the prime factors of n(-23).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 10, v: 3, l: 2}. What is prob of sequence jvl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30793 + -12623. Calculate the highest common divisor of i and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 418 - 417.8. Let b be (-1 - 0)\/((-1)\/36). Let c be 26\/b + (-1)\/2. What is the second smallest value in 0.3, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 436603\/45255 + 2\/30. Let t(s) = 11*s**2 - s. Let j be t(1). Is j bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-56 - (-14 + 7)) + (0 - (-5 - -17) - -9).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s**3 - 3773895*s**2 - 712134929520*s - 7833027590080 = 0 for s.\nAnswer: -377384, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 13 + (-7 - (-4 - (9 + -3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -6049761, -12099523, -18149289, -24199059, -30248833?\n\"Answer: -2*u**2 - 6049756*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 - 8*o**2 - o + 10. Suppose -5*d + 50 = -10*d. Let s = d - -18. Let t be v(s). Which is greater: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l. Let p(v) = 6*v. Let g(s) = s - 8. Let c be g(3). Determine c*p(i) + 36*h(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064819677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -177, -460, -877, -1470, -2281, -3352?\nAnswer: -4725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 s when four letters picked without replacement from jjsjjjjjoojoooo?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-3*(sqrt(27)\/(sqrt(36)\/sqrt(4)) - (3 + sqrt(12)))*3)**2.\nAnswer: 486*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooeu when four letters picked without replacement from {o: 9, e: 3, u: 2, f: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/(sqrt(288)*-2).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8269 - 8396 - (-2 - 80)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312*g + 2*d - 6*d = -310*g + 76, -12*d = -g + 200 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 6*f**3\/7 + 7330*f**2\/7 + 321726*f + 1165626 = 0.\nAnswer: -609, -11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uwwu when four letters picked without replacement from {u: 12, w: 7}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*q - 0. Let g(b) = b**2 + 21*b + 74. Let l be g(-5). What is the third biggest value in -5, q, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 728 is divided by 725.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 84071 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 0 + 7 + -4 + -5 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3238827 and 0.6.\nAnswer: 3238827.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(187)*3 - (sqrt(187) + -2*sqrt(187))*6)\/((sqrt(396) - sqrt(396)*5)*-3) + 4.\nAnswer: -sqrt(17)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -25*u - 48. Let f be c(-2). Suppose -11*n = f*x - 7*n - 18, 17 = 3*x + n. Solve 0 = 3*l + 14 - x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1859 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 1\/2  (b) 2\/7  (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 59.34 - -0.66. Let r = 64 - w. Which is the closest to 4?  (a) -0.1  (b) -2\/13  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(-1\/4)*s*s)**(2\/165))**(-15))**(-36))**36 assuming s is positive.\nAnswer: s**648","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 12*y**2 - 351. Give g(0).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 532233448 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of h**6\/60 - h**5\/15 + h**4\/12 + h**3\/6 - 87*h**2\/2 + 44*h. Let w(r) be the first derivative of q(r). Give w(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4385100 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(65)*2)\/(sqrt(605)*1).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.286, 1\/3 in descending order.\nAnswer: 1\/3, -0.286, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -85326 - -12542977\/147. Let d = -2\/49 + q. Let l = 0.026458 - 0.426458. Which is the biggest value?  (a) -12  (b) l  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in 5, -83, 7, 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 4 = 4*k, -3*k + 11 + 22 - 10 = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25267970447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3*w + 31, -1 = 3*w + 4*q - 0. Suppose 5*s - 25 = -10, 4*m + w*s = 1627. Let z = m - 6047\/15. Which is the smallest value?  (a) 9  (b) 2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (2 - -5) - 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from kkmkknmxxx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3148 + 86 + 128 + 1262 - 12*q.\nAnswer: -12*q + 4624","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 24227432 to the power of 1\/2, to the nearest integer?\nAnswer: 4922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 7 = x, -4*x + 15 = -5*q + 26 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 790641969.\nAnswer: 3, 13, 53, 382507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000055652656 to 7 dps.\nAnswer: -0.0000557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1174444?\nAnswer: 2, 89, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.021*-8.94858.\nAnswer: -0.18792018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -30293, -30289, -30285?\n\"Answer: 4*k - 30297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = z - 5. Suppose 21 = 4*d - 5*g, z*g = -5*d - g + 15. Solve -2 = -2*y + 2*x - 0, 4*x = y - d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2032932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2103 - 419. Suppose 4*y = 3*p + o, -2*p - 430 = -y + p. Suppose -z - z = -y. What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/7152 and -53\/3392730.\nAnswer: 27141840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14\/435 or 1?\nAnswer: -14\/435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-133 + 129 - (12 - 3))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 494426222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/sqrt(16))**2 - sqrt(11))*2.\nAnswer: -2*sqrt(11) + 11\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 686 + 1517. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*b + 18*b - 20. Suppose -q + 7 + 1 = 0. What is the greatest common divisor of q and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -6*i**2 - 154*i + 49. Give y(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 107, 92, 55, -16, -133, -308, -553?\n\"Answer: -2*t**3 + t**2 - 4*t + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 - 1)*(4 - 3 - 2)*(33*v**5 - 192*v**5 + 38*v**5).\nAnswer: 484*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 226 + -224. Solve -p + q*p - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + sqrt(112) + 2 - (((sqrt(7) - sqrt(175))*5)**2 + (sqrt(77) - sqrt(77)*-5)\/sqrt(11)).\nAnswer: -2789 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6733181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 10*u**2 - 6*u + 6. Determine x(-11).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.208 - -174.208. Let l = 178 - d. Sort -2, l, 0.4 in descending order.\nAnswer: l, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -53 - 0.344297.\nAnswer: -53.344297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.401928 nanometers to meters.\nAnswer: 0.000000007401928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-282)\/1316*(-14)\/(-6))\/(16\/608)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -8ae66?\nAnswer: 8ae6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16481 and -13.\nAnswer: -214253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -5*s + s. Let x(q) = -3*q + 1. Let h be x(s). Suppose 3*p = -3*v + 7*v + 7, -4 = -2*v. Solve 4*d - 24 = 4*i + h*d, -3*i + p*d + 11 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 - 31. Let x = o - 470\/13. Sort x, 2, -2\/5 in ascending order.\nAnswer: -2\/5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4111.229 micrometers to kilometers.\nAnswer: 0.000004111229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1385491752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.609072 - 1.0090856. Let o = u + -2.6. Round o to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 4)*(2*y + y - 5*y)*(-40*y**3 + 18 - 18).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -671, 4, 0, 2 in increasing order.\nAnswer: -671, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**2 - 2*t - 1. Determine b(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15114866069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/3)\/((-12)\/54). Let s = 43 + -21. Let q = 34 - s. Solve -3*z - q = -b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*((-3)\/(-9) - 1). Let k be (h - -1)\/(6\/4). Suppose 0 = p - k - 6. Calculate the highest common divisor of p and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(-483))\/(5\/(-15))*-2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 + 28*o**2 + 61*o - 16. Let y be k(30). Solve y = -5*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4249976.\nAnswer: 2, 31, 17137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 811.94 - 805. Let m = z - 7. Let k = -0.24 + m. Put -1, k, 0.5 in increasing order.\nAnswer: -1, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**4 + r**2 + r + 1. Let l(p) = -53*p**4 - 9*p**2 - 2*p - 9. Let m(v) = 2*l(v) + 18*u(v). What is the second derivative of m(b) wrt b?\nAnswer: -1056*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 22 = -97. Let y(t) = -t + 16. Let d be y(o). Let h(w) = 4*w + 16. Let f(v) = -v - 1. Let i(q) = d*h(q) + 5*f(q). Give i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.9 - 4.1. Let p = 16.47 - 13.7. Let y = -2.87 + p. Which is the third smallest value?  (a) y  (b) 7  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.11?  (a) -1\/4  (b) 4\/237  (c) 0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -81 + 116. Suppose -5*b = 4*l - w, -4*b + 0*b - 2*l + 22 = 0. What is the highest common divisor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * -0.1\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**2 - 446430*x + 16608312075.\nAnswer: 3*(x - 74405)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of 73*l**5\/5 - 695*l**2 + 142*l - 2. Differentiate o(d) wrt d.\nAnswer: 876*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/7*2 + (-10)\/(-35). Let b(x) be the third derivative of 2*x**u + 0 - 1\/60*x**5 + 0*x**4 + 0*x**3 + 0*x. Let s(y) = y**2. What is s(b(f))?\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 238*n - 243*n + 204*n.\nAnswer: 199*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/81291801 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/(-25))\/(1\/10). Solve -2*z + d*m + 14 = 0, -m + 2*m = 3*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**5\/7 + 270*y**4\/7 + 14580*y**3\/7 + 393660*y**2\/7 + 5314410*y\/7 + 28697814\/7 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + (2 - 0)*4. What is the nearest to -3 in 0, u, 2\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by -167\nAnswer: -25\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4230202?\nAnswer: 2, 2115101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14775, -28137, -41449, -54687, -67827, -80845, -93717, -106419?\nAnswer: -118927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 13 = -m. Let l(n) = n**3 - n**2 - 8*n + 12. What is the least common multiple of l(5) and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lc when two letters picked without replacement from {e: 1, c: 1, q: 1, t: 2, f: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.167 in 2\/39, 8\/7, 4, -0.8, -148, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a3306 (base 11) to base 4.\nAnswer: 1030020033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 2. Let x = -709 + 719. Let -18*c + 9*c - b*c**4 + 9*c**3 + 7*c**2 - x*c**2 + 6 = 0. Calculate c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n - 6. Determine l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4*p + 332, -2*o + 441 = 2*p - 213. Suppose 0*m + o = 4*m. Suppose -106 = -4*v + m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 2*l = 6 + 5, 0 = -5*k + 4*l + 19. Suppose -5*a = -k*i + 183, 3*i + 5*a - a = 156. What is the highest common divisor of i and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -549  (b) 24  (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31690 - -55210. Does 49 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4\/11, 3, 2\/15, 1\/2, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2.8144609*2\nAnswer: -5.6289218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/11  (b) 5\/13  (c) -0.04  (d) 0.03  (e) 158\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 18*r**2 + 46*r - 4. Give v(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31805 is divided by 15902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 0.5, 2, -4, 6.5, -6?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -302*y - 3689. What are the prime factors of k(-79)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 676 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from hhrggghggh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**6\/24 - v**5\/30 + v**4\/12 + v**3\/2 - 3*v**2. Let l = -26 + 24. Is 11 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12026 - 12023. Solve 3*d - 6 = 6*d - i*z, -3*d + 2*z = 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or -56732?\nAnswer: -56732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 91004573 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 64*c - 10836. Determine q(176).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.577482 to 2 decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -0 + 16. Suppose 3*c = -c - g. Put c, 3, 8 in decreasing order.\nAnswer: 8, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 585*v + 595*v - 1175*v. Let r(y) = -5*y**2 - 2. Let g(c) = -6*c**2 + 2 - 1 - 4. Let q(d) = 2*g(d) - 3*r(d). Calculate q(h(w)).\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-196)\/24 - -7)*4\/(-7) - 8974\/(-21153)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -q**4\/4 + 11*q**3\/3 + 17*q**2\/2 + 4*q - 280. Give z(12).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.69 to 1 decimal place.\nAnswer: -19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**4 - 5*o**3 - 14*o + 1 wrt o.\nAnswer: 36*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(-14) - (35\/(-30) - -1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - b - 401, 0 = -5*a - b - 3*b - 504. Let o = -58 - a. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 7 + 3 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfbt when four letters picked without replacement from {f: 9, c: 2, b: 4, t: 1}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -5*d + 13. Calculate the common denominator of d and (231\/88)\/21 - (1 - (-4971)\/(-6120)).\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 329*h**4 - 160*h**4 - 97*h**4 - h**4 - 2*h**4 + 5*h**4 + (0*h + 0*h - h**3)*(-5*h + 3*h + 0*h) to m*h**2 + p*h**4 + x*h + a + c*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 93055, -1, -2 in decreasing order.\nAnswer: 93055, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (-1 - 0) - 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - -10. Let l = -11.85 + j. Let c = l - 0.15000055. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 76 - 53. Let q = -121 + 135. Suppose -q*w = -w - 26. Calculate the lowest common multiple of w and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2669 - -16049\/6. What is the common denominator of i and 11\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -11, 1, -6, 80, -21.\nAnswer: -21, -11, -6, -5, 1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33312949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15014542 - 30029066 + 3*v + 15014524.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3*j - 15. Let a be (0 - 1 - -2) + j. Let m = a - -27. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0*q + 4. Let l be 40\/25 + q\/(-10). What are the prime factors of -2 - 6*l*-3?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -154432, -154436, -154426, -154396, -154340?\n\"Answer: i**3 + i**2 - 14*i - 154420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5336 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 15150698 to the power of 1\/2, to the nearest integer?\nAnswer: 3892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - z + 39 = 0, 5*q - z = 2*z - 47. Let m = 40 + q. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -907*f + 2 + 909*f - 2.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert bc0 (base 15) to base 8.\nAnswer: 5137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 138060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 AM and 1:47 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-86))\/(9865\/3946)?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.78 * -0.3\nAnswer: 2.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1*sqrt(432)*2 + 4 + 5 + 0 + sqrt(432) + -3 + 1)**2 + 2.\nAnswer: -216*sqrt(3) + 515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3179.72 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**10)**42 assuming g is positive.\nAnswer: g**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.45719 weeks to hours.\nAnswer: 12676.80792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + 4*z**3 + 4*z)*(2 + 1 - 4) + z**3 + 0*z + 0*z + (-z**2 + 5*z**2 - 5*z**2)*(-5 + 4 + 0)*(2 - 2 + z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 + -3)*-2 - 2. Suppose i = n - 5, -13 = u + 2*u - 5*n. Which is the closest to -1?  (a) 1  (b) -2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/(-10) + (-14)\/(-4). Let g(b) = -5*b**2 + 8*b. Let i(d) = -4*d**2 + 8*d - 1. Let q(t) = -3*g(t) + 4*i(t). What are the prime factors of q(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**3 + 8*z**2 - 2*z - 12 = 0. What is z?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**4 + 10*u**2 + u + 1 - 9*u**2 - u**4 as c*u + r*u**4 + y*u**3 + z*u**2 + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/401 > 57282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 11 - 2*b - 31)*(0 - 2 + 0).\nAnswer: 4*b + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1120 and 56600.\nAnswer: 1584800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13894\/7 - 1968. Let d = -17 + p. What is the third smallest value in d, -0.05, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113489*v + 113748*v - 15022 = 0 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -2*y**3\/3 - 31*y**2\/6 - 5*y\/3 + 743. Find f such that i(f) = 0.\nAnswer: -5, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.0459\nAnswer: -0.02295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(60\/12)*30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 36642802 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -8. Let c = g + 9. Find r, given that -9*r**4 + c*r**2 + 1 - 1 + r**4 + 6*r**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -66 + 69. Let z(t) be the second derivative of -1\/4*t**4 + 0*t**2 - 1\/30*t**6 + 1\/6*t**r + 0 - 3*t + 3\/20*t**5. What is j in z(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j + 8. Let l(w) = 4*w. What is the smallest common multiple of l(1) and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 2*i - 11. Solve -i = -5*y + 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the first derivative of 8*k**4 - 7696*k**3\/3 - 1927*k**2 - 482*k - 7038. Solve d(v) = 0 for v.\nAnswer: -1\/4, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16587 smaller than 16582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*l + 12*l**3 - l**2 - 2*l + l**2 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -10, -23, -36, -49, -62?\n\"Answer: -13*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4087928 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 883 - 979.6. Let g = l + 105. Let n = g - 8. What is the second smallest value in 0.2, n, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1562 is divided by 737?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 130 - 126. What is the tens digit of (6\/4 + -1 - n)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.2 * 1374.\nAnswer: -1648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149038, -156083, -163142, -170221, -177326, -184463?\nAnswer: -191638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 PM and 4:30 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 678111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 40\/12*(-3)\/(-1). Let l(q) = 4*q + 8. Determine l(d).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 515043769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -336 divided by 4?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 2*q**2 - q - 5. Let o be d(-2). Let a be ((-1)\/o - 1)*-3. Find the third derivative of 21*z**a - 11*z**5 - 5*z**2 + 0*z**2 + 2*z**5 wrt z.\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a factor of 28531206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 - 1. Let x = 4.3 - 5. Let t = -0.4 - x. Which is the second smallest value?  (a) 0.5  (b) g  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/12968908 and -61\/1978308.\nAnswer: 116720172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, -2, 9, 24?\n\"Answer: 2*c**2 + c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*l = 95*l + 21 + 563 + 385 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/18 + 320\/60.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u = -12*u + 220 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, -1, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -57 - -58. Let j be m - ((-574)\/(-56))\/(43\/4). Is -1 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.954293 to 3 decimal places.\nAnswer: -6.954","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 3:16 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -11011?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15770, -31825, -47894, -63977, -80074?\nAnswer: -96185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -33. Solve 2*n = -4*l + n + 13, 0 = 5*l + n - s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -19. Suppose -2*v = 2*o - 86, -5*o + 0*o - 2*v + 206 = f. Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -24*x**2 - 11*x. Let y(d) = -12*d**2 - 6*d. Determine 3*m(s) - 5*y(s).\nAnswer: -12*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2433 + -2413. Solve -5*n + l*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (109765\/2271)\/(10\/3)*-6?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -58*f + 4. Let u(v) = -17*v. Determine u(l(k)).\nAnswer: 986*k - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2233232321 (base 4) to base 2\nAnswer: 10101111101110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s**2 - s + 14. Let d be n(7). Let j = -151 + d. Let m be (-14)\/(-4) + 7\/14. Solve m*b + 9 = -j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p**5 - 628*p**4 - 21660*p**3 + 234772*p**2 - 543152*p + 330672 = 0. Calculate p.\nAnswer: -83, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -5*f - 7528 + 7480, -5*p = f + 81 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2111 (base 3) to base 2\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*b - 6, -50 = 4*c + 2*b. Let u = c + 13. Solve -5*m = 5, 2 + 3 = 4*p + u*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 3, t: 1, b: 5, k: 3}. Give prob of sequence btk.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -191*u**2 - 189*u**2 + 566*u**2 - 188*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 886504?\nAnswer: 2, 110813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3*(sqrt(162) + sqrt(162)*-1) + sqrt(162) + sqrt(162) + 3*(-1 + sqrt(162)))*1*3)**2.\nAnswer: -9720*sqrt(2) + 146124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -124666 - -30102?\nAnswer: -74564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*w - d, -4*w + d + 33 - 28 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*k + 920966 - 953962 = 0 for k.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4173840 and 3515090.\nAnswer: 2783951280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = u + 24, -9*z + 11*z - 97*u - 72 = -94*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.129 and 9.\nAnswer: 8.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -3*g - 3. Let f be t(-5). Suppose 0 = -4*p + f + 4. Suppose p*x - 192 = -164. Calculate the common denominator of 20\/47 and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10510, -10511, -10508, -10501?\nAnswer: -10490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/49 + 19\/49. Let h = -0.17 - 0.03. What is the biggest value in r, h, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*p - 2*p + 1332. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.1 + -0.1. Which is the fourth biggest value?  (a) 0.1  (b) -0.3  (c) m  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3363372 millennia to decades.\nAnswer: 33.63372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -12. Suppose -4*c = -5*c + n. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-8)*(s\/(s**(-5)\/s))\/s*s)\/(s**30\/s**29))**(2\/31) assuming s is positive.\nAnswer: s**(-4\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**4*q**4)\/(q\/(q*((q\/((q\/(q**(2\/7)\/q))\/q))\/q)\/q*q*q))**(-12\/5) assuming q is positive.\nAnswer: q**(291\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**2 + 13*k + 8*k**2 - 13*k.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3339\/2 + 1670. What is the biggest value in -55, -1\/2, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3672 and 5814.\nAnswer: 69768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 85.285241+-35\nAnswer: 50.285241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/3*(1 - 0). Suppose -4*q - 5*b = 0, f = -2*q + 3*q + 4*b. Suppose 6*w - 3*w - 6 = q. Solve w = 3*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 - 7*4\/32*-8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.225 + 114.775. Let z = 107.156 - -8.334. Let r = k - z. What is r rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 110?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-224)\/168*(108\/8)\/3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 5, 6\/13, 0.02, 5.38 in decreasing order.\nAnswer: 5.38, 5, 0.5, 6\/13, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*n - 26*n = 1876. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1063  (b) 11.05  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 193 - 183. Let f be 48\/m + 24\/(-30). Solve 0*a - f*a + 14 = -2*u, -3*a + 10 = -u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 1 - 3)*(775*d**4 - 3993*d**4 - 6567*d**4) - d**4 + 2*d**4 + d**4 as l + h*d**2 + a*d**4 + n*d + q*d**3 and give a.\nAnswer: -19568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2379 divided by -3\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5554 + -5451. What is the greatest common factor of 11021 and b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -680.5 and 0.2.\nAnswer: -680.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -k - 4, 0 = -s - 0*k + k. Suppose -434 + 443 = -3*d - 6*o, -6*d + 5*o = -33. Put 2, d, s in decreasing order.\nAnswer: d, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 74032 and 44585772.\nAnswer: 178343088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -15. Suppose -4*p + 92 = -2*u + i*u, -p = -u + 13. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 + 4*y**2 - 3*y**2 - y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + j + 2 + 0*j)*(4 - 3 + 0) + (1 - 2 + 2)*(-2*j - j + 5*j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45358, -181196, -407522, -724330, -1131614?\nAnswer: -1629368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2088 - 2087.71. Which is the closest to f?  (a) 0.3  (b) 3  (c) -1\/3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 7*r. Let a(x) = -64*x. Let c(w) = 3*a(w) + 28*q(w). Let n(u) be the third derivative of -u**4\/24 + u**2. What is c(n(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -848*m + 2274*m - 848*m - 576*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 734220.1 nanometers to meters.\nAnswer: 0.0007342201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201070715 is divided by 8161?\nAnswer: 8158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 0.1  (b) -0.2  (c) 4  (d) 43  (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-154)\/(-88) - (5\/(-4))\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 2*u**2 + 2*u + 1. Let o be g(-1). Let n = o + 4. What is the highest common factor of n and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from admameramramaaaaermd. Give prob of sequence ard.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -n + 5*n. Let f = -36 - -38. Solve -4*x = 3*p + 8, f*p = 4*x - n*p + 36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 176 - 95. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -440446*b**3 - 356*b**2 + 497*b wrt b.\nAnswer: -2642676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -78268 (base 11) to base 14\nAnswer: -2d4b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(39)\/(sqrt(3) + sqrt(6)\/sqrt(2))) + (0 + sqrt(832) + sqrt(832))**2.\nAnswer: sqrt(13)\/2 + 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of 0 - 7\/12*p**4 - 1\/6*p**3 + 14*p**2 + 0*p. Give x(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8681000 to the nearest 100000.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*m = -o + 866, 2*o - 1742 = -2*m. Suppose 36 = 4*t + 4*i, 15*t = -4*i + 2*i + 161. Let c = o + t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -4 - 8) + 4 + -3 + 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -383*g - 1583 = -1332*g + 315 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58910146, -58910151, -58910158, -58910167, -58910178, -58910191?\nAnswer: -58910206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 f when three letters picked without replacement from {l: 3, f: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/27 and -103\/50430.\nAnswer: 453870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -32261580, -64523161, -96784744, -129046329, -161307916, -193569505?\n\"Answer: -w**2 - 32261578*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*j**2 + 449*j**3 - 270*j**3 - 177*j**3 + 48*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 28 - 12 = 0. Suppose h*w = 2914 + 5162. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -546 divided by 277.\nAnswer: -546\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 4*w**2 - 8*w + 7. Let h be g(7). Factor 4*i**4 - h*i - 12*i**2 + 2*i**5 + 147*i - 10*i**3.\nAnswer: 2*i**2*(i - 2)*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382*g + 96 = -376*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 PM and 5:31 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 21*i**2 - 23*i - 35. Let w be (1746\/(-30))\/3 - (-21)\/(-35). Determine d(w).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66930292 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**3 + 10*t**2 - 43*t - 198. Give f(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6081193 rounded to 2 dps?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of u**8\/420 - u**7\/70 + u**6\/45 + 8*u**3\/3 - 7. Let g(f) be the third derivative of v(f). Factor g(o).\nAnswer: 4*o**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*r**4 + 5*r**3 + 156*r**2 - 9476 wrt r?\nAnswer: -8*r**3 + 15*r**2 + 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(8*j + 6*j - 6*j)*(-5 + 3 + 1).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvlvvvvvvllvllvlll. What is prob of sequence vv?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -46*i + 7. Let c(a) = -88*a + 12. Determine 4*c(u) - 9*q(u).\nAnswer: 62*u - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 - 178*o + 2. Let q(y) = -y**2 + 179*y - 1. What is -3*q(h) - 2*t(h)?\nAnswer: h**2 - 181*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o. Let i(w) = w**2. What is i(g(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssassssssyysssssssay. What is prob of sequence aya?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1555701419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.3882 - -0.3882. Let g = 11.89 - -0.11. Sort r, g, 7 in descending order.\nAnswer: g, 7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150679 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 150, 202, 252, 300, 346, 390, 432?\n\"Answer: -q**2 + 55*q + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5665554958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 + 6*d - 4. Let v be s(10). Let o = v - -83\/2. Which is the third biggest value?  (a) 3  (b) o  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 - 3*y + 218. Determine j(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 4*m + 33. Let u be n(-7). Suppose 7*b - u*b = -2*b. Let s(i) = -i**2 + 16. Give s(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*t**2 + 332*t**2 - 1086*t**2 + 331*t**2 + 372*t**2.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 75267.\nAnswer: 4\/75267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1070641 greater than -2141281\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -o + 4. Let s = o - -1. Calculate the remainder when 15 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/1 + -1 - 810\/(-891). Which is the second biggest value?  (a) s  (b) 44  (c) 1  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01 - -16041722464.2.\nAnswer: 16041722464.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.1 + 12.1. Let b = 9 - q. What is the closest to -2\/3 in b, -5, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21026471413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3236*b*k*s**3 - b*s**3 - 2*k - 4933*s**3 wrt b.\nAnswer: -3236*k*s**3 - s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -u - 4. Let v be (-5)\/(-15) + 2\/u*-1. Solve 4*b = 2*i + 14, 4*i + v + 22 = 2*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -8*o**4\/5 + 30051*o**3\/5 - 32227*o**2 - 592578*o\/5 - 60016 = 0.\nAnswer: -2, -5\/8, 8, 3751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24221\/8 + -3028. Let s be (-1)\/(-2) - (-15)\/(-14). Sort t, -1\/5, 0, s in decreasing order.\nAnswer: 0, -1\/5, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -3*f - 24, n - 68*f = -72*f - 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b8452 (base 12) in base 14?\nAnswer: -1ba62a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 80*a**3 - 17*a**2 - 13*a + 4. Let y be o(16). Let v = 455124 - y. Suppose 5*x = -0*x - v. Round x to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 4 + 1)*(-3*s + 4*s + 0*s)*(65107 - 1540*s - 65107) to the form u + h*s**2 + c*s and give h.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**3 + k**2 - k + 1. Let z be n(1). Suppose -s - s + 21 = -w, 0 = z*s + 8. Let v = w - -51\/2. Sort 0.1, v, -0.3.\nAnswer: -0.3, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -5*d**3 + 2*d**2 + 7*d + 48. Let s(k) = -k**3 + 2*k**2 + k + 4. Calculate l(c) - 2*s(c).\nAnswer: -3*c**3 - 2*c**2 + 5*c + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 16 - 12. Which is the biggest value?  (a) q  (b) 0.2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 121155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/3264 and -67\/36.\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*y = -32*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 160*x + 7. Let u be m(-14). Let i = u - -20144\/9. Which is smaller: 6 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*t**4 - 2*t**3 + 7136449*t**2 + 462812551*t wrt t?\nAnswer: -48*t**2 - 12*t + 14272898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 7*m - 555 = 0. Let r = -20 + m. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t - 6. Let o(p) = 25*p - 80. Suppose -j - 4*c = -4*j - 25, 2*j + 26 = 5*c. Let d(x) = j*o(x) + 40*n(x). Let a(y) = -8*y. Calculate a(d(h)).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 14) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 6.8\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3114.7686 nanoseconds to hours.\nAnswer: 0.0000000008652135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 763dc (base 14) to base 16.\nAnswer: 45dce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19923008 a multiple of 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 - 17. Let z be -17 - t\/(4\/(-6)). Is 29922\/26 + z\/(-91) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15517 - -15519. Which is the closest to x?  (a) -0.3  (b) -1  (c) -59\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17515, 35030, 52545, 70060?\nAnswer: 87575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -14102 (base 7) to base 11\nAnswer: -2967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(120)\/sqrt(10) - (sqrt(12) + sqrt(1452) + -5*sqrt(1452) - sqrt(12)))\/((sqrt(180)\/sqrt(5)*2)\/(sqrt(18)\/sqrt(27))).\nAnswer: 13*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -1, -39, 3, -12659?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 u when two letters picked without replacement from tataumatmuuuu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.23 and 57?\nAnswer: 56.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 11*j + 50. Sort j, 0, 5 in decreasing order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 2 - 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -8. Suppose 0 = 2*k - c + 1, 3*k = 7*k + 5*c - 33. Suppose 9*y - 4*y - 403 = -k*v, -5*y + 383 = -n*v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**7)**(1\/7) assuming y is positive.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23*h**4 - 4*h + 193?\nAnswer: 92*h**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -36049*s - 6560912. Calculate b(-182).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3819754259?\nAnswer: 17, 224691427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -45?  (a) -3\/5  (b) 0.3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.05 - 0.23. Let f = 0.32 - r. Sort f, -0.03, -0.3, 1\/4 in descending order.\nAnswer: f, 1\/4, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 4*m - 20, 0 = 5*c - 4*m + 39 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/50780 and -7\/25390?\nAnswer: 50780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -485253 * -0.039.\nAnswer: 18924.867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j - 3. Let o be w(3). Let a(t) = -7*t**2 - 6*t + 1. Let l(k) = -46*k**2 + 3*k + 47*k**2 - 2*k - 1. Let s(h) = a(h) + 6*l(h). What is s(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(77)*-1)\/sqrt(11).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(252))\/sqrt(12))\/sqrt(3).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 10*x**2. Let q(s) be the first derivative of -3*s**3 + 8. What is r(q(b))?\nAnswer: 810*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10457 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 2*f - 1. Let w be r(3). Solve -3*l = -n - 14, 7 = -3*n - w*l + 35 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 2.9. What is the closest to y in 0.2, 0.04, 2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1068417 and 20979.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -116093*n + 1160960. Give u(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11663 = -995045*s + 995154*s for s.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cqf when three letters picked without replacement from fsscccqchfcc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3039244438?\nAnswer: 2, 1519622219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -3248*m**5\/5 - 1759*m**3\/3 + 2442. Find the third derivative of d(z) wrt z.\nAnswer: -77952*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 5*g**2 - g - 3. Let t be d(-3). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 10. Solve 5*k - 4*k = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 543404111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from bpbppvebevpebbp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3\/3 - 3076*l**2\/3 - 760448*l\/3 - 61088768\/3.\nAnswer: -4*(l + 208)**2*(l + 353)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n**2\/5 + 5350476*n\/5 = 0.\nAnswer: -1337619, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3007 - -8ca?\nAnswer: 3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -2014?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (23\/4)\/(1\/4). Let d = 33 - 12. Calculate the remainder when d is divided by 1\/(s\/(-12) + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 6*a = -2*i + 6, -i - 4*a = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0  (c) 86\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b**5 - 2*b**4 - 2*b**3 - 2*b**2. Let h(y) = y**4 + y**3. Let g(q) = -2*h(q) - w(q). What is the third derivative of g(u) wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18*(-6)\/18*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {b: 2, v: 1, n: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104721 = -111*c - 109272 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 41*(-1)\/(-2)*-6. Let u = i - -617\/5. Let s be (-594)\/216*(-2)\/(-11). What is the closest to s in -1, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 - (3 + -2 + -12 + 1) - 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -321 + 171. Let i = -141.1 - -301.4. Let m = w + i. Round m to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/3 - (-30)\/(-9). Let n be (-6)\/(-5)*(-20)\/6. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000168 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*u + 2*u + 3*u as j + f*u and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in 2, -121, 9.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, h: 6, t: 2, m: 1}. What is prob of sequence fhhf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*r - 83 = 911 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 - 4*k**2 + 3*k - 1. Let o(d) = 2*d**3 - 2*d**2 - d - 2. Let l = 5 - 3. What is the least common multiple of z(-5) and o(l)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 53 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 7 + 0)*(177 - 71 - 107 - 82*d) in the form w + k*d and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -64b2 (base 12) to base 8\nAnswer: -25506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79108\/23727 + -6\/7909. Suppose 5\/2*b**2 + 0*b - 5\/6*b**3 - l = 0. What is b?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of b**4 + 11\/3*b**3 - 25 + 1\/10*b**5 + 6*b**2 + 9\/2*b. What is y in d(y) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5*(-1)\/(-3))\/(100\/(-180))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*m + 80. Let r be (m\/(-2))\/(9\/36). Let c = 60 + r. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23.67 - 24. Let c be ((-2)\/3)\/(282\/846). Which is greater: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l - 19. What is the remainder when d(9) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -m**3 - 697*m**2 + 8*m - 134123 wrt m.\nAnswer: -3*m**2 - 1394*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 2*r + 2. Let s be i(3). Let m = s - 4. Solve 0 = -4*y + 3 + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -2\/11  (c) 1.19  (d) 0.9  (e) -2  (f) -0.8  (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-9) - (-20)\/9. Solve -2 + 4 = z, 0 = -k*g - 2*z + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l - l + l + (l + l - 3*l)*(-3 + 0 + 2) + 2*l - 6*l + 2*l)*(1 - 10 + 3)*(0 - 44 + 71).\nAnswer: 486*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 7*c - 1. Let g be o(1). Suppose 12*x = 92 - 92. Let t be (-12 + 3 + 9)*(x + -1). Solve t = -z - 4, 0 = g*j - 2*j - z - 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6614068 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 382750, 765499, 1148248, 1530997, 1913746?\nAnswer: 2296495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**2. Let g(h) = h. Let k be g(7). Suppose -23*c = -39*c + 48. Let s(n) = k*n**2 + c - 3 + 4*n**2. Give s(f(v)).\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*s + 12*s - 2*s)*(1 + 7 - 2)*(-s + s - s) as r + n*s + q*s**2 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -125*p**3 - p**2 - 6*p. Let w(m) = -248*m**3 - 3*m**2 - 13*m. Calculate -5*d(j) + 2*w(j).\nAnswer: 129*j**3 - j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 163.7 + -154. Let i = z - 11.7. Which is the nearest to i?  (a) 3\/8  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = -8*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1)*s)**(-10)*(s**(-1))**(2\/7))\/((s**(-1\/4))**23\/(s**(-1))**12) assuming s is positive.\nAnswer: s**(-183\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -9, 0 = -2*l + w + 23 + 78. Let p be ((-1 - 1) + 2)\/(-1). Suppose -f - 3 = p, 3*a + f - 11 = 25. What is the greatest common factor of a and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 5:24 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 895127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from znxnxzzbbnnxzenzezxz. What is prob of sequence nn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 23*p**2 + 6*p**2 - 45*p + 2 + 48*p + 27*p. Let n be u(30). Solve 1\/7*a**n - 4\/7 + 0*a = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 340541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 44, 108, 210, 350, 528?\n\"Answer: 19*u**2 + 7*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from fnqmr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 7) to base 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -992*a + 1 - 243*a + 143*a as j + n*a and give n.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78 - -89. Solve -4*k = 5 + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3318280 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -500, -810, -1198, -1700, -2352, -3190, -4250?\n\"Answer: -6*p**3 - 3*p**2 - 259*p - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 365 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -45 - -43 - (0 + 0 + 3) - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11513052*o + 11513057*o + 223 = 4*m, -o - 305 = -5*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 11, m: 5}. Give prob of picking 4 l.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14021032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 73, 187, 409, 775, 1321, 2083?\nAnswer: 3097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 301*q + 3236 - 6246 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16690 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3431 greater than 476710\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1517.03 - 1500. Let g = q - 17. Let r = 4.97 + g. What is the biggest value in r, 1\/8, 0.04?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2290887?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 415774 + 449473. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -36835576, -73671151, -110506726, -147342301, -184177876, -221013451?\n\"Answer: -36835575*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -22*(1 - 22\/4). Let r(w) = 2*w**3 - 2*w**2 + 2*w - 1. Let b be r(2). What is the highest common factor of b and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25 - 22.5. Let o = i + -2.4. Which is the second smallest value?  (a) 3  (b) 2\/3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -855 - -859. Sort -3, x, -5, 1 in decreasing order.\nAnswer: x, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 + -36. Let i be x\/3*(-2 + 2). Suppose i = -2*o - 3*r + 52, -2*o + 3*r + 8 = -56. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -14. Let p = 2 - 1. Solve -p - 3 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eee when three letters picked without replacement from etadytaeetdataet?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**1*v**(-2\/13))**(5\/11))**(-1\/3) assuming v is positive.\nAnswer: v**(-40\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(5\/3))\/g**1)**(10\/7)*(g\/(((g**(-3\/5)\/g)\/g*g)\/g*g))\/g**(-7)*g*g**(-3\/4)\/g*g\/g**(-2\/7) assuming g is positive.\nAnswer: g**(3257\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 10*a - 1. Let p be u(1). Suppose 5*q = p*q. Suppose -k + 0*k + 16 = q. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 4*z + 4. Let p be r(3). Let v = 43 - p. Suppose v = x - 13 - 17. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -15*x**2 + 618*x - 117. Let j(q) = -q**2 - q + 5. Let u(r) = 6*j(r) + z(r). Factor u(d).\nAnswer: -3*(d - 29)*(7*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7011.066 - 6991. Let q = k + -20.3. Does q = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*o - 8, -629*o + 591*o - 2461 = 3*q + 1167*o for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5062087, 10124166, 15186243, 20248318, 25310391, 30372462, 35434531?\n\"Answer: -y**2 + 5062082*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1005 and 3819?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence elfe when four letters picked without replacement from {l: 4, f: 6, e: 2, r: 1}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 802 is divided by 97.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2456)\/32)\/(3 - 166\/56). Let a = j + 3026. List the prime factors of a.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-153 - -166) + (-10)\/1. Let d(s) be the first derivative of -16 + 25*s - 5\/3*s**o + 10*s**2. Factor d(n).\nAnswer: -5*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 131 + -127. Let n be (-4)\/g - 22\/(-26). Which is the fourth smallest value?  (a) -4  (b) 5  (c) -0.4  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (0 + -3) - (-65 - (-90 - -56)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28128829.\nAnswer: 17, 41, 40357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1388472500 to the nearest one million.\nAnswer: 1388000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*c**2 - 8*c**2 - 19*c**2 - c.\nAnswer: 5*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 - 15. Let a(k) be the first derivative of -9*k**2 + 85*k - 45. Let j be a(5). Put 12, j, x, 0 in descending order.\nAnswer: 12, 0, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11189 + -10102. Calculate the least common multiple of 8 and r.\nAnswer: 8696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251680837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 55*j**2 + 54*j - 2. Let z be g(-54). Which is the second biggest value?  (a) z  (b) 2\/3  (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 113*c. Let h(k) = -10 - 9 + 7*k**2 - 9*k**2 + 19. Determine h(n(j)).\nAnswer: -25538*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {e: 2, n: 2, z: 7}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 3*n + l + 16 = 0, -4*l = 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 22\/5, 4\/7, -3\/5, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g - 31. Let x be w(-11). Let c(j) = -j**3 - 5*j**2 + 7*j + 9. Let r be c(-6). Let q = 0 + r. Solve -m = -q*m + x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 1 - 1)*(0 + 0 + 3) + 5 - 9*l - 20*l - 4.\nAnswer: -23*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -124215 (base 6) to base 3\nAnswer: -120112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 + 0.0247\nAnswer: -0.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 m, and 1 o when three letters picked without replacement from {e: 2, u: 1, m: 1, o: 1, p: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 3*a + 1)*(1164 - 24725*a + 1130 - 15015*a - 2296 - 15028*a) in the form b*a + d + p*a**2 and give p.\nAnswer: 164304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 439\/4  (b) 0.09  (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 3*l - 2*l - l + 5. What is the units digit of f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -52 - -47. Let p = -0.5 + 3.5. Which is the closest to p?  (a) 0.5  (b) -3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -9. Suppose 2*v - 2*o - 2 + 10 = 0, -m*o - 19 = v. Let w = -2 - v. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 - -44. Suppose f*z - 196 = 144. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -198204, -396407, -594608, -792807, -991004?\n\"Answer: z**2 - 198206*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -153309.157 rounded to the nearest 100?\nAnswer: -153300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j**(13\/4)*j)*j*j**(-1\/22)*j*(j*j**(-4\/9)*j*j)**(-43) assuming j is positive.\nAnswer: j**(-44029\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 2*g = v + 21, 4*v + 4 = 0. Solve -u + 4 = p, 0 = -g*p - 0*u + 3*u - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -7*p**2 - 5*p + 13. Let y(k) = 4*k**2 + 3*k - 8. Determine 6*x(j) + 10*y(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 1 + 4. Let p be 124\/(-1 + z + -2). Let s = 183 - p. Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 5*o - 2 = -27, -33 = -3*m + 3*o. Let g be (-2)\/(-18)*-3*0. Suppose 23 = 5*d - 4*t, g = 5*t + 6 + 4. Solve -d*c = -8*c - m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1945049257.\nAnswer: 23, 2141, 39499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2 + 154*r - 2960.\nAnswer: -2*(r - 40)*(r - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24d35 (base 14) to base 4.\nAnswer: 112010203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -670c - 3?\nAnswer: -670f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -320231220 (base 4) in base 8?\nAnswer: -705550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-7))**(-47) assuming d is positive.\nAnswer: d**329","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 s, and 1 o when three letters picked without replacement from {d: 1, e: 2, n: 1, s: 1, o: 1, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 78*q**3 + 2*q**2 + 2*q - 2. Let t be k(2). Suppose -5*m + 166 = -t. Suppose 0 = -a + z + 36, -2*a + 4*z = -6*a + m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15693791 - 9309315. Let m = g + -6384444.700274. Let x = -31.3 + m. Round x to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-51.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**17*f*f**(-11) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 0, 1, -2, -9, -20, -35?\n\"Answer: -2*x**2 + 7*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(i\/(i*(i**0\/i)\/i))\/i)**(3\/4)*i**(-1\/4)*i**(-2)*(i*i**(-4)*i)\/i**(-1\/2)*(i**(6\/11)*i)\/i*i*i*i**(1\/13)*i*i*i assuming i is positive.\nAnswer: i**(1179\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 - (-21590)\/(-595))*-28.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 326 or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*d - 13 - 3*d + 13.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 500592.\nAnswer: 2, 3, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 800 or 470320\/589?\nAnswer: 470320\/589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*x + 116 = 0, 5*j + 2*x - 27 = 4*j. Suppose -3*w - 88 = w. Let v = w + 38. What is the remainder when j is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**2 + 0*m**2 + 0*m**2 + (m + 0*m + m)*(-m - 11*m + 5*m))*(3 + 1 - 1).\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9.9999865 + 10. Round q to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 - c**2. Let b be (4\/(-6))\/((-5)\/((-15)\/(-2))). Let a(i) = -i**3 + 13*i**2 - 16*i. Let w(h) = b*a(h) - 3*z(h). Let w(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/((h**(5\/7)*h)\/h)*h**6*h*h**(-4)\/h*h*h*h**(1\/6)*((h*h\/(h*h*h**3*h))\/h)\/h**(-4)*h**(4\/3)\/h**2 assuming h is positive.\nAnswer: h**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1937700 divided by -6\nAnswer: -322950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3580*r**2*v**3 + r**2*v**2 + 10*r**2*v + 90*r*v**3 + 2292*v**3 wrt r?\nAnswer: -7160*v**3 + 2*v**2 + 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times -3052\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -8*i + 5. Suppose 0 = -7*j + 53 + 108. Let k(o) = 14*o + 13*o - 3 - j*o. Calculate 3*h(b) + 5*k(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 5*w**2 - w + 1. Let q be p(5). Let u be (q + 6)\/(3 + -2). Suppose 2*s = 4*c - 74, -u*c - 2*c = -s - 75. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*g + 4*g - 4*g - 1 + (1 + 3 - 3)*(0*g + 2*g + 3*g).\nAnswer: 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 388 = 4*o + 183 + 189 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1976 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 522920*q**2 - 75035*q + 1590 = 0.\nAnswer: 159\/6152, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -t**2\/2 + 1. Let c(l) be the second derivative of l**4\/6 - 17*l. Give c(v(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/3 - (-1)\/3. Let m = -11.09 - -0.09. Let z = -10.6 - m. What is the third biggest value in -1, o, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41*-28.\nAnswer: -1148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3454 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1911*1.2\nAnswer: -2293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -1\/2  (c) 0.1  (d) -4.07  (e) 0.9  (f) 0  (g) 960\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 PM and 3:54 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-52)*(-12)\/(-27))\/((-2)\/(-18)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -9*s**3 + 8823*s**2 - 91*s - 1136. Let w(d) = -2*d**3 + 2206*d**2 - 21*d - 284. Let c(x) = -6*o(x) + 26*w(x). Differentiate c(k) with respect to k.\nAnswer: 6*k**2 + 8836*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - t + 206, -5*t - 125 = -0*m - m. Let k(q) = -3*q - 4. Let d be k(-3). Suppose 92 = d*j + 17. Calculate the greatest common divisor of j and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18143294 divided by -1?\nAnswer: -18143294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -1\/5, -35\/3, 0, -1.1, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21 + 21.014. Let y = 0.486 + b. What is the closest to -2 in y, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21796 + 36216. What are the prime factors of w?\nAnswer: 2, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 769600 = 52*i + 308144 - 1692540. List the prime factors of i.\nAnswer: 23, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8\/(-6)*3\/(-2). Suppose 0 = -2*x + 11 - 3. List the prime factors of 1\/1 + x*s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 5*v. Suppose v = t - 0*b + 4*b - 29, -4*t - 2*b = -102. Solve 4*o - 9 = -t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 838 = 650. What is the remainder when r is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*f**2 + 3*f**2 + f**4 + 2*f - 108*f**3 + 266*f**3 to z + a*f + k*f**4 + h*f**3 + i*f**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002782973 rounded to 7 decimal places?\nAnswer: -0.0000278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - k = 5*b - 145, 0 = 2*b + k - 61. Let r = 31 + -19. What is the remainder when b is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-62)\/((-744)\/315)*132\/(-99)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**3\/11 + 31934*u**2\/11 - 1569472*u\/11 + 139776 = 0. What is u?\nAnswer: -16016, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2027880, 2027849, 2027818, 2027787, 2027756, 2027725?\n\"Answer: -31*r + 2027911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/12428478 and 79\/2860110.\nAnswer: 683566290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (124 - 135) + 5 + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9059840 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 48 - 46. Let s(p) = -c*p**3 - 5*p**2 + 4*p**2 - 7*p - 4*p**2 + 3*p**3 + 8. Let l be (27\/(-12))\/(12\/(-32)). What is s(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2 = -h. Let n be ((-8)\/(-20))\/((-1)\/(-10)). Let t(c) = c**h + 7*c + 2 - 1 + n. Give t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30*x**3 + 316*x**2?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.15 + 0. Let i = 0.05 + k. Which is the closest to i?  (a) 0.5  (b) 0  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 310*i*z**3 + 3*i*z**2 + 10*i*z + 2*i + z - 3 wrt z.\nAnswer: 1860*i*z + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2c (base 13) to base 4\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00889 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4\/189 + 811\/378. Calculate the common denominator of h and 99\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*v = -68*v + 60. Solve -2*b = 5*i - 7, v*b - 5*i + 34 = -1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 6 - 1)*(4 + 1 - 4) + 0 - 2 + 3)*(-q**2 - 2*q**2 + q**2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**3 - 2 + 2)*(-t**2 + 12*t**2 - 3*t**2).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*d = 2538, 5*l + d - 5986 = 6576. Calculate the remainder when l is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(512) + 3.\nAnswer: 3 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4 = y - 6*y. Let t(v) = 33*v + 5. Calculate t(y).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from ozyoyoozojoyyzyoylyq?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36944, -69287, -101630, -133973, -166316?\nAnswer: -198659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18*u**3 - u**2 - 100?\nAnswer: 54*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4692*n - 250560 = -4732*n. What is the highest common factor of 1080 and n?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {u: 4, a: 6, o: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*2\/(((-8)\/7)\/(-4)). Suppose 31 = -i*m + 10*m + 5*z, -27 = -m - 5*z. Solve -5*x = -m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**3 + x**2 - x**2 + (-2*x + x**2 + 2*x)*(-2*x + 0*x + 3*x) + 3*x**2 - 10*x**3 + 8*x**3 - 2*x**2 to g*x**2 + t*x**3 + r + h*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from whhwwwh. What is prob of sequence hwhw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 3*q. Let v(z) = z**2 - 8*z + 1. Let m(d) = -v(d) - 4*y(d). Let k(i) = -8*i**2 + 11*i + 3. Calculate 6*k(f) + 17*m(f).\nAnswer: 3*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -350.5 - -4.\nAnswer: -346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4824448 milligrams to nanograms.\nAnswer: 482444.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**4\/8 - 19923*n**3\/4 + 142556427*n**2\/8 - 8506941693*n + 1093927884486 = 0.\nAnswer: 268, 6373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(2*sqrt(891)*-2 + (sqrt(891) - ((sqrt(891) - sqrt(891)*-2) + 1))) + -5 + -3)**2.\nAnswer: 7020*sqrt(11) + 802069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34\/11*g - 2\/11 + 294\/11*g**3 - 182\/11*g**2.\nAnswer: 2*(3*g - 1)*(7*g - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47204021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 12 + -6 + (-8 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4005 + -4007. Which is the biggest value?  (a) j  (b) 23  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 90 - 90. Let n = 10.69 - 11.19. What is the closest to f in -3, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*x**3 + 75*x**3 + 144*x**3.\nAnswer: 162*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 5523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16 - 1760\/((-100)\/10). What is the highest common factor of n and 3216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/37497733 and 73\/5746.\nAnswer: 974941058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - -3 - 7 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 78\/9)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.5 + 10.5. Let g = v - 20. Let o = 8.979 + g. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 76*p - 320.\nAnswer: (p - 4)*(p + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 298757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-61 - -48) + (10 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 377*l - 250. What are the prime factors of j(11)?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4*n + 0)*(3*n + 38 - 38)*(-n + n - n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3*t**2 + 3*t - 2. Let j be (-33)\/77 + 34\/14. What is the lowest common multiple of 22 and w(j)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30420*t**3 + 21871*t**3 + 136779*t**3 - 17119*t**3.\nAnswer: 171951*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vtz when three letters picked without replacement from {m: 2, t: 2, x: 1, v: 4, z: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -b + 9. Suppose 0 = 5*v + i - 4, 0 = 4*v + 5*i - 9*i + 16. Solve v = -2*s, 0 = -f - 4*s + b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 421, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 - 236*c**2 - 3917*c + 1525. Give f(-218).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 40 + (-23 - 3) + -35\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*f**3 - 3*f**3 + 48*f**2 - 2*f + 2*f**4 - 1 - 49*f**2 to the form q*f**3 + z*f**2 + t + n*f + y*f**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 688481, -0.5, 0.11?\nAnswer: 688481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + j = -1, 0*p = -3*p - 2*j + 19. Solve -5*i + 2*i + 3 = p*b, 3*b = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19339 + 19363. Solve 0 = 71*t - 65*t - w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 113, 254, 461, 740, 1097, 1538, 2069?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 - 40) + 8 + 15 + 0 + -10?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from lolololli?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1367985552 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 168\/252*2\/4*(-6)\/28\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10287115231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -0.039.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g - 3. Let k be x(3). Suppose -5*c + 6*c - 28 = k. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 6:35 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 640.599 to 0 dps.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 18*h**2 - 38*h + 5. What is k(-20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 2*c = 6, -5*p + 2*c = -2*c - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -1\/2*m**2 + m + 3. Find the first derivative of l(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 3*y + 12. Let s be w(5). Let g(c) = 17*c. Is g(s) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -251*k**3 + 8*k**2 + 68. Let v(o) = -o**3 - 3*o**2 - 1. Let u(g) = -f(g) - 3*v(g). What is the third derivative of u(i) wrt i?\nAnswer: 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 3524 = 5*h, -5*g = h + 157 - 885. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 225 = -31*p + 4*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 366 and 13079742.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1200 + 10201?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 303189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1312 and 5048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7\/8 of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**3 + 167574*c**2 + 273253428*c + 113076538920 = 0 for c.\nAnswer: -54190, -834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/84 - (0 + 1) - 2\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**7*p*p*p**(-10)*(p\/(p*p*p*p**(2\/5)))**19)**(-14))**(-5) assuming p is positive.\nAnswer: p**(-3262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 10*s + 26. Let k(o) = 3*o**2 - 19*o + 50. Let b(l) = -2*k(l) + 5*u(l). Let x be b(-11). Solve x*c + 20 = 37*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k**2 - 3*k**2 + 179*k**3 - 193*k**3)*(0 + 3*k + 0) to t*k**2 + h + r*k**4 + v*k**3 + n*k and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 4*f = -40. Let k be (-1)\/3 - 92\/(-6). Let v = 33 - k. What is the remainder when v is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221152211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (1 - 0 - (8 + -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -659828 (base 12) to base 16\nAnswer: -189e60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of -19*i**6\/10 + i**4\/6 + 25*i**3\/6 - 32*i**2 + 3*i + 204. What is the second derivative of g(d) wrt d?\nAnswer: -684*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -4 - (2 + -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**2 + z - 1. Let v be -3 - 129\/(-6) - (-2)\/4. What is the units digit of n(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 152\/2*(9*6\/(-45))\/(2024\/1265).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 + 2. Let b = -26 + 29. Suppose 0 = 3*q + 3, 2*w - b*q + 3 = -4*q. Is w greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 5, -1, 0.5, 329, 4, -3 in increasing order.\nAnswer: -17, -3, -1, 0.5, 4, 5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33981, -66667, -99353, -132039?\nAnswer: -164725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tktkttttkvtttkvt. What is prob of sequence vt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 6 = s, -4*s = r - 5 - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*d - 111*d = -48426. Let h = -2438 + d. What is h rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**4 - 181*d**3\/3 + 673*d**2\/3 - 604*d\/3 + 52 = 0.\nAnswer: 1\/2, 2\/3, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 215, 59 in descending order.\nAnswer: 215, 59, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence krrr when four letters picked without replacement from rukgruugkugrrkgr.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -214.57 and 0.297.\nAnswer: -63.72729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.32532 greater than 3.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/36*4)\/(3\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -792*q**3 + 2618*q**3 - 783*q**3 - 1044*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 43689240527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -40 - 10*w + 40 + (1 + 1 + 0)*(2*w - 6*w + 2*w) - 2*w + 0*w + w + (2 - 4 + 0)*(2*w - 3 + 3).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 463?\nAnswer: -185.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, n: 1}. Give prob of picking 1 n and 2 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -43*s + 8779. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/(-25))\/(3\/10). Let f be 18\/4 + r\/8. Suppose -f*h + 7 = 4*o, 5*o = -4 + 19. Is 0 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 43*d - 342. Give g(6).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44013094.\nAnswer: 2, 853, 25799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.22 minus 88.7?\nAnswer: -88.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(308) - ((sqrt(308) - sqrt(308)*1) + sqrt(308))) + sqrt(308))\/sqrt(7))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -149 + 65. Let n = -80 - m. Suppose k + n*a = 27 + 6, -3*a + 9 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**4 + 172*b**3 - 164*b**2 - 172*b + 168.\nAnswer: -4*(b - 42)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m**3 + 0*m**3 + 2*m**3)*(-7*m + 4*m - 5*m)*(-23*m + 14*m + 8*m - 3).\nAnswer: -32*m**5 - 96*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9302.9138 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -398 from -14017.\nAnswer: -13619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.004029267 and -3109.\nAnswer: -3108.995970733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8279 is divided by 2747?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 503061 is divided by 50306.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l - 2*l**2 - l - l in the form s*l**2 + g*l + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-2)*2\/8. Let w = 0.13 - 5.13. Let d = w + 4. Which is the nearest to d?  (a) y  (b) -0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 46 - 44 = 0. Suppose 20 = 5*p - 0*p. Suppose 4*j - p*w = -12, -7 = -2*j + 3*j - 5*w. What is the closest to 2 in -4\/9, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -71*s + 217 - 5. Solve -135 = 30*x - s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 4*s - 40, 33 = 3*a - s - 27. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-217)\/(-1426))\/((-77)\/(-88))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3870 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, -5, 1, 3\/7, -3\/4, -838?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 4*h**2 + 14314 + 3*h**2 - 3*h**2.\nAnswer: -5*h**2 + 14314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 5*k**3 - 4*k**2 + 5*k**3 - 15*k**3 - 1 + 4*k**3 + k. Determine u(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 9 - 2*b - b - b. Let v be c(-8). Let j = v - 8. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*p**3 + p**2 - 750770*p + 2221738 with respect to p.\nAnswer: -12*p**2 + 2*p - 750770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6529 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64 and 5506312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110539.\nAnswer: 11, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 6*a**2. Let h(k) be the third derivative of k**6\/360 - 61*k**4\/24 + k**3\/6 + 73*k**2. Let z(j) be the second derivative of h(j). What is c(z(o))?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-1\/4))**(-20))**(-35) assuming m is positive.\nAnswer: m**875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/1139678 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*u**3 - 5811*u**2 + 28*u**6 + 75*u**6 - 79*u**6 - 3*u**3 - 63*u**6 wrt u?\nAnswer: -4680*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -b**4\/8 + b**3\/6 + 25*b**2. Determine f(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35 by -11347.\nAnswer: 5\/1621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -550\/51 or -11?\nAnswer: -550\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b + 440 = -3*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 10*d - 23. Let x(s) = -s - 1. Let p(t) = l(t) + 5*x(t). Let a(i) be the second derivative of -i**4\/6 - 38*i - 6. What is a(p(n))?\nAnswer: -50*n**2 + 560*n - 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 246984 (base 16) to base 10.\nAnswer: 2386308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -166688, 8, -4 in ascending order.\nAnswer: -166688, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 5, 3\/53, -2\/5, -1\/4 in decreasing order.\nAnswer: 5, 3\/53, -0.1, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 141 - 1693\/12. Suppose -2*t + 6 = 2*g, -4*g + 2*t - 2 = -5*g. What is the common denominator of l and g\/12 - (-170)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 + 32 + -21)\/(3\/(-3))*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 651 and 34923?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(-21) + 1 + (-47437)\/(-168). Let q = l - 1669\/6. Find the common denominator of ((-20)\/(-42))\/(1\/(-12)) and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -u - 3, 4*h + 5*u - 17 = 0. Suppose h*a = -q + 37, -3*a - 4*q + 45 = -7*q. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 10 = -3*b, 4*b - 2*h = 5 + 11. Calculate the least common multiple of b and (-8)\/(8\/(-9)) + 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6787441 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-1 + (-1)\/(-2)). Suppose -w = 3*w - k. Suppose 0 = w*v - 3*s + 22, 2*v + 5*s - 15 = 1. Do v and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (150\/(-175))\/(3\/(-14)). Let v = 5 + 5. Suppose 0 - v = -2*y. Solve 3*a = s*d + 27, y*a = -5*d + 8 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/3)\/((p\/((p*p**(3\/7)\/p)\/p))\/p))**(-50) assuming p is positive.\nAnswer: p**(250\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m + 2. Let s(v) = 5*v + 11. Suppose 3*a = -4*b + 49, 0*b - 63 = -5*a - 2*b. Let y(j) = a*o(j) - 2*s(j). Let g(i) = 4*i. Determine y(g(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 18765647 divided by -127\nAnswer: -147761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 4*f**3 - 11*f**2 + f + 23. Let i be c(3). Let h = 3 + -6. What is the nearest to -2 in h, i, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/(5*sqrt(176)) + -1*(sqrt(171) + -1))**2.\nAnswer: -59*sqrt(19)\/10 + 66539\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lgghggyylgljhjghlje. Give prob of picking 2 g and 1 l.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*n + 8*n + 15*n - 2*n + 2*n - 2*n + (-1 + 2 - 2)*(4 - 4 + n) - 3*n - n + 2*n + (3 - 3 + 2*n)*(-2 + 6 - 2) in the form k + z*n and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*v + 20, 6638 = 4*h + 2*v. Suppose h = -11*l + 7069. What is l rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1306437 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26304 and 102887?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*y**2 + 65*y**2 - 6*y**2)*(5 + y - 2 - 1).\nAnswer: 92*y**3 + 184*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 6*p = -2. List the prime factors of ((-67)\/p)\/((-4)\/8) - 1.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 393 + -260. What is the first derivative of 20*x**4 - a + 40*x**4 - 22 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 9:54 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 19 - 35. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 434 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*w**3 - 100853 + 50418 + 50417.\nAnswer: 8*w**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3482 is divided by 250?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.9509 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -395 = 6*a - 11*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -4*u + 1314, 0 = -3*u + 5*u - 5*y - 664. What is the least common multiple of 6 and u?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 - -9. Suppose -3*w - 67 - 44 = 0. Let f = -35 - w. What is the closest to f in p, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 41*i - 3. Let w(h) = -87*h + 66. Calculate r(w(z)).\nAnswer: -3567*z + 2703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 5:01 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -2*w - 1, 0 = -w - 4*w + i + 38. Calculate the remainder when 61 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10340449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 8:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 9. Let x = f + -13. Let v = -0.7 - -0.3. What is the biggest value in 5, x, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of -33*(-26)\/286*64*16 and 128?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}