{"text":"Question: What is the fifth biggest value in 37\/4, -3, 5\/4, -0.3, -23, -2\/17, 0.16?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5*a = -2 - 1, 5*d - 15 = 3*a. Suppose -2*i - 29 = -d*u, -2*i + 2 = -u + i. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -669*d - 46*d - 278*d.\nAnswer: -993*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 275791 - 70431. Let g = 94054957\/458 - w. Calculate the common denominator of -97\/10 and g.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 476 + -476.54. Let n = -0.5399116 - l. Round n to six decimal places.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + -10.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95055999?\nAnswer: 3, 41, 83, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 124 - 874\/7. Let v = 0.529 - -0.141. Let k = v - 0.17. What is the nearest to j in k, -4, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15754956*2.\nAnswer: 31509912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -7.4743, -3 in descending order.\nAnswer: 0.3, -3, -7.4743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3*f = -2*c + 455, 5*f - 905 = 4*c. Find the common denominator of -91\/4 and ((-6)\/4)\/(24\/c).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/93732 and -83\/1284?\nAnswer: 93732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*i + 25*i = -2677 - 1019 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(187)\/(-2*sqrt(11)*-1) + 4.\nAnswer: sqrt(17)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7\/104  (b) 4  (c) 3  (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002850701 rounded to 7 decimal places?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -5*p + 64. Suppose -5*g = -g + 4*k + p, 5*k = 3*g + 8. Let u(m) = -m**2 - 12*m - 6. Let b be u(g). Solve b*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -28. What is the remainder when ((-118)\/2)\/(1\/(-1)) is divided by i + 1\/(-1) - 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -5*(sqrt(144) + (5*4*sqrt(144) - sqrt(144)))\/(sqrt(40)\/(sqrt(5)*-4)))**2.\nAnswer: 7200*sqrt(2) + 2880009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 897*m - 7. Let v(z) = 1757*z - 13. Calculate -5*h(j) + 3*v(j).\nAnswer: 786*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i\/(i**(4\/5)\/i)*i)\/i**(-8))\/((i**(-4\/9)*i)\/(((i*i*i*i**(-3\/5)*i)\/i)\/i)) assuming i is positive.\nAnswer: i**(587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 8 + 3 + 4799*h - 4787*h. Let p = -5 - -1. Let v(t) = t. Let i(l) = p*v(l) - d(l). What is the derivative of i(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*8\/((-16)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -72 - q - 76 + 150. Calculate w(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - -2. Suppose 0 = -x - 2*g - 10, -x - 2*x + 5 = -g. Solve r*u - 2*u - 4*h - 8 = x, u = 2*h + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -4*v + 7*v + 2 - 4*v. What is the units digit of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2408, -1999, -1318, -365, 860?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.24, -222, 3, -7\/5 in decreasing order.\nAnswer: 3, -0.24, -7\/5, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*q = 21. Find the second derivative of -q*i**4 - 22*i + 30*i + 0*i**4 + 0*i**4 wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/3584 and -115\/3584.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -n**6 + n**3 - 11 + n**2 - 17 + n**2 + 5*n**3 wrt n.\nAnswer: -120*n**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s - 6. Let z be t(-10). Suppose 4*a - 12 + 420 = z*g, -4*g + 5*a = -411. Suppose 3*l = 6*l - g. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 544*l*t**3 - 2167*l*t**2 - 108*l*t - 14*l - 142790*t**5 + 6 wrt t?\nAnswer: 3264*l - 8567400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -7*b + 2*m - 8, -20 = -5*m. Suppose b = -2*n + 4 - 0. What is the third derivative of 4*p**4 + 2*p**n - 5*p**4 + 0*p**2 + 2*p**4 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13.3 + -13. Let m = 3 - 4. Put -1\/5, m, f in increasing order.\nAnswer: m, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.601977 rounded to one dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 14, -1, 8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 2:31 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of 13*u**5\/12 - 79*u**4\/24 + 101*u**2. What is the second derivative of c(l) wrt l?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2052 and 21?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -f*h**3 + f*h + f + 303*h**4 + 502589*h**2 + 173503*h + 115 wrt h?\nAnswer: -6*f*h + 3636*h**2 + 1005178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/5328 and -59\/15984.\nAnswer: 15984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 2*m + (3 - 4 + 0)*(-3*m + 0*m + m) - 2 + 2 - m + (2*m - 5*m + m)*(-5 - 1 - 1).\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 9:59 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -139506 divided by -3.\nAnswer: 46502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a. Let s(q) be the first derivative of 923*q**2\/2 - 976. Calculate s(d(v)).\nAnswer: -923*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -57 + 9. Let y = -151 + 162. Calculate the remainder when h is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3410 (base 11) in base 14?\nAnswer: 18c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -5. Suppose -5 - 3 = -2*w. Let j = -3 + w. Calculate the highest common factor of k and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 22077, 21993, 21909, 21825, 21741?\n\"Answer: -84*s + 22161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + m - 5. Let b(g) = 3*g**2 - 3*g + 9. Let k(p) = -2*b(p) - 5*o(p). Let t(v) = -4*v + 12. Let w = 46 + -43. Let i be t(w). What is k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1188.488t to milligrams.\nAnswer: 1188488000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -3\/437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541 is divided by 56.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 34.1  (b) 26  (c) -248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 332 - 328. Solve -9*a - v = 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20566, -20390, -20106, -19720, -19238, -18666, -18010?\nAnswer: -17276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 + 1 = -6*d. Round d to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 41 + 11. What is the greatest common divisor of b and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -212940775 divided by -25?\nAnswer: 8517631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, g: 1, q: 5}. Give prob of picking 2 q and 1 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -78*u + 78*u - 55*u**4 - 3*u**4 - 3*u**4 + u**4 + (u**2 + 2*u - 2*u)*(3*u**2 - u**2 + u**2) in the form g*u**2 + f*u**3 + c + w*u**4 + q*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -865\/183 greater than -135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -19*s - 2. Let m(z) be the second derivative of -z**3\/6 + 2*z - 7. Determine t(m(f)).\nAnswer: 19*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -13922861 (base 10) to base 16\nAnswer: -d4722d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**2\/3 - 2540*o - 2419350 = 0.\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129*g**3 - 130*g**3 + 254*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.10871694 and -0.06.\nAnswer: 0.04871694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10522 - 10713. Sort t, 14, 4.\nAnswer: t, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -504 + -114. Let f = i + 2276. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3659651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -521*a**4\/4 - 560*a - 556. Find the first derivative of k(y) wrt y.\nAnswer: -1563*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4053160 (base 7) to base 2.\nAnswer: -1110110000110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 4:06 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, j: 4}. Give prob of picking 1 s and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 1:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0022383 rounded to 5 decimal places?\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of q**5\/30 + 12*q**4 + 1728*q**3 + 124416*q**2 + 21*q + 4. Factor c(y).\nAnswer: 2*(y + 72)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.008  (b) -7  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -8*t - 2*t**3 - 1\/4*t**4 + 4 - 3\/2*t**2. What is d(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5357, -5358, -5359?\nAnswer: -5360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + j + (2 - 4 + 10)*(-1 + 1 + 2*j).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**5\/9 + 26278*b**4\/9 + 86277236*b**3\/9 - 258989396*b**2\/9 + 259041962*b\/9 - 86356082\/9.\nAnswer: 2*(b - 1)**3*(b + 6571)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/21*-24*9\/360?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.739 + 190.43.\nAnswer: 188.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*t**4 - 11*t**2 - 4*t**3 + t**2 + 10*t**2 - 1 in the form s*t + q + f*t**2 + g*t**4 + y*t**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -23\/59 or -16\/3?\nAnswer: -23\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8.79896 + -8.8. What is i rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 15 = -0. Solve -2*g + 5 = -3*n, -r*g = -5*n - 2*g - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(12\/11)*c*c\/(c*(c\/((c*c\/c**(2\/7))\/c))\/c)*c*c**(-21)\/c**(-17\/3) assuming c is positive.\nAnswer: c**(-2663\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 479605743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -4*k + 11, 8*a - 7*a + 8 = -3*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3729, 3696, 3627, 3510, 3333, 3084, 2751, 2322?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -4*c**3\/3 - 4*c**2 - 10. Suppose k(a) = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*w - 18, -32 = -2*w - 2*w - 5*b. Suppose 19 = 4*f - 1. Calculate the least common multiple of w and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6164885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -143*b + 1199 - 1056 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 12 = -u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7235120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1021183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 116 + -195. Let n = t + 46. Let c = -32.9999832 - n. What is c rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m\/((m*(m\/(m*(m*m*m**(-2\/13)\/m)\/m))\/m)\/m)*m)\/m)\/((m\/(m*m*m**(-3\/11)))\/m))**12 assuming m is positive.\nAnswer: m**(7848\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ldc when three letters picked without replacement from {d: 1, r: 1, l: 1, u: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.053995 + -0.193969. Let c = j - -0.14. What is c rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1086, -3379, -7200, -12549, -19426, -27831?\nAnswer: -37764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 3 = -q. Let u be ((-24)\/20)\/(q\/10). Suppose 50 = 3*m + u*m - t, -40 = -4*m - 2*t. What is the highest common factor of 40 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48) + sqrt(336)\/(sqrt(7)*-1) - 6*sqrt(48)\/sqrt(4))**2 - (-1 + -1 + sqrt(363) + -2 + 2 + sqrt(363)*-1)**2.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 2:28 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 10:43 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 175196760 a multiple of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 46 + 11?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 289785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 at least as big as -8\/10041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-144)\/(-10))\/((-15)\/(-250)). Let l = y + 4. Which is smaller: -0.1 or l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.39 + -1.89. Let g be ((-6)\/8*(-6)\/(-9))\/(-3). What is the biggest value in d, 0.9, g?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - j + 8. Let x be (j\/(-6))\/((-6)\/9). Let t(s) = s + 1. Let u(f) = 6*f + 5. What is x*u(v) + 5*t(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**2. Let v(f) be the first derivative of -f**6\/180 + 4*f**3\/3 - 3. Let r(x) be the third derivative of v(x). Give r(o(y)).\nAnswer: -50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f - 12. Let z be t(-8). Let p be (2\/1 - 4) + z. Find the first derivative of -b**p + 0 + 2 - 3*b**2 + 2*b**2 wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 4*t = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -16801\nAnswer: -3\/16801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -14*j**2 + 1. Let r(a) = -4*a**2. Calculate d(r(o)).\nAnswer: -224*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) - (sqrt(176) - (sqrt(176) + (-1 + sqrt(176))*-5))) + (3 + sqrt(176)*1 - sqrt(176)))**2 - -1*((sqrt(176)*-2*2)**2 + sqrt(176)).\nAnswer: -252*sqrt(11) + 5696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 12168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1555*h - 4*b + 30 = 1560*h, -5*b - 12 = -2*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 9. Let n be o(6). Solve 0*j - 9 = n*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*n - 24 = -6*n, -5*n - 12 = -2*m. Suppose 0 = -14*s - m*s + 150. Solve -4*p + s*p - 2*l = -15, -3*p - 3*l = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14 + (23 - (19 - -16)). Calculate the highest common factor of 5774 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 8*d. Let c be b(-8). Let f = c - -2. Suppose 0 = -3*l + 12, x + f*l = -0*l + 1354. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-20)\/9 - 6\/(-27). Let f be (-2 - g) + 1*33. Suppose -2*l - 4*m + 13 = -f, l - 2*m = 39. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**3 + 440*s**2 - 885*s + 989. What is y(-222)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*d - 10*d + 64. Solve -v = -2*v - d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*i + 3*i + 25. Let k be -3 + (-2)\/(-3)*27. Suppose -v + k = 4*v. Calculate the remainder when i is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from gntgvgvdvtvgvgvvh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*p = 0. Suppose 3*c = -p + 6. Suppose 0*y + c*y - 48 = 0. Calculate the remainder when y is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -1\/60*b**5 + 0 - 1\/24*b**4 + 0*b - 10*b**2 + 1\/6*b**3. Let p(n) = -n**3 - 2*n**2 - 3*n + 2. Determine 3*j(a) - p(a).\nAnswer: a**3 - a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 14. Suppose i*a + 5*u - 153 = 158, -5*a + u + 367 = 0. Does 37 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1597062798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5\/3)*c\/(c**(2\/5)\/c) assuming c is positive.\nAnswer: c**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from {s: 2, d: 4, a: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4968 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 2 = t, -5*t - 4 = 5*r - 3*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 686 + -415. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 2) + 4 - 0. Let f(q) = 54*q - 7. Is f(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.959 + -0.759. Suppose -4*n = -2*t + 66, 2*t - 5*t = 5*n + 66. Which is bigger: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122102774.\nAnswer: 2, 61051387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -26*k**3 + 898*k - 70*k**3 + 2*k**4 - 1354*k - 1660*k + 1242*k**2 = 0.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68406?\nAnswer: 2, 3, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 226336471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/7  (b) 0.4  (c) -38  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/9))**36*(g*g\/(g\/(g**(-2)*g)))**(3\/13))\/((g*((g**(-1)\/g*g)\/g)\/g*g)\/(((g*g\/((g**(1\/9)\/g*g)\/g))\/g)\/g))**35 assuming g is positive.\nAnswer: g**(667\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 - (-1 + (2 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 20454040 divided by -5\nAnswer: -4090808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 53 - c - 3\/2*c**2. Let w(d) = -d. Calculate 2*w(l) - x(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1802387*a*m*p + 4*a*p - 76*a + 8*m*p**3 + 103*p**3 + p with respect to m.\nAnswer: 1802387*a*p + 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 1468973124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 11) to base 9\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes before 8:04 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-12)\/40)\/3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33 - (-2842)\/49)*184\/(-40)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 9, n: 9, k: 1}. Give prob of sequence ckcn.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 58 - 15 - m - 9 - 8*m to the form g*m + w and give w.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2110446, 2110450, 2110454?\nAnswer: 2110458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -5 + (((sqrt(720) - (-1 + sqrt(720) - sqrt(720))) + sqrt(720))**2 + -2 - (-2*sqrt(720)*-1)**2) + -1.\nAnswer: -10 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, q: 2, x: 1, o: 1}. Give prob of sequence ox.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/16646 and -181\/21924.\nAnswer: 898884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 40 divided by 69\nAnswer: 40\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w**3 - w**2 - 4*w - 3. Suppose 5*r - 3*g = r - 24, 3*g - 21 = 3*r. Let p be v(r). What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.6 - -1.2. Let u = -34.5 - -135.3. Let j = -102 + u. What is the third biggest value in 5, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 319061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/(-4))\/(25\/2250*45)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 - -4.7. Let t = -0.1 - 0.3. Let r = t + 0.4. What is the second biggest value in r, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1043 and -3.669.\nAnswer: -1046.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t - 1. Let j be s(-9). Let v = -1645\/2236 + -8\/559. Which is the smallest value?  (a) j  (b) 1\/4  (c) 0.2  (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*h + 37*h - 76*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -37735*z**2 + 75483*z - 29. Give j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50, 135, 290, 545, 930, 1475?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 5*j + 34, -11*j = -12*j - 4*t - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 784*y - 166320 = 763*y. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4545 + -4544. What is the second smallest value in -0.056, u, -4?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - 4053\/189)*(1 + 0)\/((-42)\/(-189))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13892.93 meters to nanometers.\nAnswer: 13892930000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 266 - 262. Let f be (-3)\/((-9)\/4) + -1. Factor 0 - f*o**5 + 1\/3*o + 2\/3*o**h + 0*o**3 - 2\/3*o**2.\nAnswer: -o*(o - 1)**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 220 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 668103881 to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 5*z**2 + 3. Let s be q(5). Suppose -3*u = -3 - 3. Suppose -2*o - u + 4 = -3*h, -o + 4 = 0. Solve -3*m = s*p - 6, h*p = 2*m - 3*m + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 8*w**2 - 21*w + 58. Let r be i(3). Which is smaller: r or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 * 4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5289*t**2 - t + 8271.\nAnswer: -10578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -2*o**2 + 4639*o + 266059. Let i be r(-56). Let n = 3 + -2.7. What is the fourth biggest value in i, n, -51, 5?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 855*s - 329*s - 526*s + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -89 - -28. Let n(c) = -19*c - 19. Let i be n(2). Let x = i - j. Calculate the smallest common multiple of x and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**3 + 36*h**2 - 7*h. What is b(12)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g - 1. Let l(o) = -28*o - 35. Let c(w) = l(w) + 5*p(w). Let t(n) = -2*n**2 + 3*n - 8. Let j be t(3). Is c(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 331002 - 13023130?\nAnswer: -12032122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.058 in -7.4, 2\/3, -13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5\/13 - 126*z**4\/13 - 30*z**3 - 394*z**2\/13 - 132*z\/13 = 0.\nAnswer: -1, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 3, 3\/2, 23\/6, -1\/5, -3, -0.4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/2249 and -11\/1038?\nAnswer: 13494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -56259, -112519, -168779, -225039, -281299, -337559?\n\"Answer: -56260*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -295*n**3 + 71*n**2 - 168*n**3 - 69*n**2 - 912*n wrt n.\nAnswer: -2778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -j + 10, 0 = -4*u + 3*j + 48 - 13. Suppose 0 = -2*s - u*q + 746 + 67, -4*s + q + 1593 = 0. Does 44 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 + 1. Calculate the smallest common multiple of 2\/9 + 160\/9 and a\/(3\/(-18)*-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -15*v**3 - 4*v**2 + 2*v - 1. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1217 divide 4153633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 4 - ((-69 - -44) + 54)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c + 11. Let n(i) = -i**3 + 11*i**2 + 3*i + 12. Let j be n(11). Suppose 0 = -10*s + 15*s - j. What is the lowest common multiple of 6 and m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.249 to one decimal place.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 5*o - 35, 3*s + 5 = 5*o + s. Suppose 8 = 4*w + 24. Does 5 divide 28\/o - w\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 3*y - 97 = 269, -k - 128 = 3*y. Let p = -68 - k. Does 20 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272*p**3 + 1 - 1 - 164*p**3.\nAnswer: 108*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a hour in seconds?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17551 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of t**5\/20 + t**4\/2 + 5*t**3\/6 - 5*t. Let j be r(-5). Let q = -0.054 - -0.254. What is the nearest to -0.01 in q, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*d + 2*d - 6*d + (2 + 1 - 4)*(2 + d - 2))*(-2*d**4 + 2*d**4 + 6*d**4 + (-2*d**2 + 0 + 0)*(5*d**2 - 2*d**2 - 2*d**2)).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/42)\/(6*(-5)\/70)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**2 - 102*d - 2354. Give o(76).\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 67183719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 11:55 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3896 is divided by 1939.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 484 - 441. What is the remainder when 184 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 177, 176, 175?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 60 + 61\/4*m**4 + 43*m + 0*m**2 + 0*m**3. Find the first derivative of t(k) wrt k.\nAnswer: 183*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 26*f + 60. Calculate z(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 6*i + 2. Let r be j(5). Suppose -2*y + r = 4*f - 5, -f = y - 1. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -10632, -0.12 in decreasing order.\nAnswer: 0.2, -0.12, -10632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.2, 5\/1076, -3\/17, -3\/8 in descending order.\nAnswer: 4, 5\/1076, -3\/17, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -78 by 2571.\nAnswer: -26\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14801 is divided by 239.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61, 5, 0.9 in descending order.\nAnswer: 5, 0.9, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) 4  (c) 20  (d) 4\/7  (e) -7  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -676 + 730 + 3 + -34.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = -5*g + 3*g. Let r = g + -45. Let c = r + -269\/6. What is the closest to -1\/2 in -6\/7, 1\/9, c?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1779 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 - 6*b + 9. What is the remainder when d(8) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -74906 + 75767.33. Round w to the nearest 10.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1906.5 - -1906.707368. What is z rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8171444kg to grams.\nAnswer: 817.1444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1937 + a47ca?\nAnswer: a2b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1023120231 (base 4) in base 15?\nAnswer: 61756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l + 27 = -4*s + 3*l, -9295 = -l - 9304 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -68 and -68 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002142 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.718 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/1678 and 5\/166961.\nAnswer: 333922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 62*u + 874. Determine g(-17).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/15)\/((-4)\/20). Let g be 78\/18 - i\/6. Solve -s = -g*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -7*i. Let b(r) be the first derivative of -1\/2*r**2 - 10 + 0*r. Determine b(s(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 5*j - 25. Suppose 2*x + 4 = 0, x - 6 = -3*f - 2. Let w(b) = 2*b**3 - 4*b**3 + 4*b**3 - b**3 + 6 + b - 5*b**f. Give w(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 189673*l**4 - 304*l + 209 wrt l.\nAnswer: 2276076*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 3*s**2 + 18*s. Let w be z(-6). Suppose p + p - 10 = w. Suppose 5*d = p*k + 40, -3*d + 37 = -5*k + 5. Solve 5 - 17 = d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/5  (b) 5  (c) 0.4  (d) 2  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -14*m**2 - 1058*m + 642. Determine a(-76).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 940120 and 42117376.\nAnswer: 210586880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -26009.505 to the nearest ten.\nAnswer: -26010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of 1\/2*a**4 + 0 + 1\/20*a**5 - 5\/3*a**3 + 5*a - 3*a**2. Let l be i(-7). What is the greatest common factor of 165 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -5, 53, -1\/4, -2\/97?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 + 0. Suppose 0*o = 2*f + o + 4, 5 = 5*f - m*o. Sort 3, f, 0.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 5*a + 56 = -0*o, 12 = -3*a. Solve -2*c + 6 = -k, -4*k - 7*c + 3*c = -o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 2)\/(37\/148)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*4\/8)\/(6\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 19013427.\nAnswer: -3802685.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 980644658 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*b - 64 = -0*b, -3*u - b + 106 = 0. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/(-20) - (-42)\/35\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 2:30 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 378252 and 554580?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1202 + 1814 = 232*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 5*f - 12 = 0, 3*y - 2 = -2*f + 12. What is the units digit of y\/(-3) - 184\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -148*j - 41*j**4 - 83*j**2 - 26 + 78*j**2 + 25 wrt j.\nAnswer: -492*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 3. Let m = n + -1. What is the lowest common multiple of m and (-1)\/3 + 7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1\/8, 4.6, 2\/153, -3, 0 in descending order.\nAnswer: 4.6, 4, 2\/153, 0, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7200 + -4601?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 27 = -24. Let z(c) = -c. Let w be z(-4). Let r(i) = -i**3 + 5*i**2 - 4*i + 2. Let y be r(w). Do t and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6292?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -1217 and -13071.9613.\nAnswer: -14288.9613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4680728 and 754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*q + 365 = 233 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -c**4\/6 - c**3\/2 - c**2 - c + 106. Let m(j) = -j**3 + 4*j**2 + 7*j + 4. Determine 3*m(f) + 7*w(f).\nAnswer: -3*f**3 - 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -o**5\/15 + 11*o**4\/12 + 7*o**3\/9 - 83*o**2\/6 + 22*o + 1203. Find n, given that l(n) = 0.\nAnswer: -3, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 11 = -n, 14 = 2*z + 12*n - 10*n. Solve 4*x - 8 = 0, -20*x = z*q - 24*x + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4 + 2*t + 0*t - 21 + 10. What is s(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 0*k**2 - 5*k + 5\/6*k**3 + 0. Let n(s) = 1. Let x(z) = -2*z + 5. Let v(w) = 5*n(w) - x(w). Calculate v(d(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59309, -60817, -62325?\nAnswer: -63833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84 - -86. Suppose -4\/3*f**l + 20\/3*f**3 + 0*f + 0 - 25\/3*f**4 = 0. What is f?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 13) + 3 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*v + 68, 0*v = -v - o + 22. Let r be (-6)\/v + 26\/42. Which is the closest to r?  (a) -4\/9  (b) -1\/2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4598 + 4612. Calculate the remainder when 795 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1)\/(u*u*u**(1\/3)*u*u))\/(u**(3\/2)*u**(1\/4)))**13)**(2\/5) assuming u is positive.\nAnswer: u**(-221\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 5*b + 36 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 795393212.\nAnswer: 2, 17, 1213, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*f**2 - f**2 - f**2 + (2*f**2 - 3 + 3)*(2 + 1 - 1) + (-69*f - 33*f + 27*f)*(8*f + 2*f + 0*f) - 4*f + 4*f + 2*f**2 as c*f + l + y*f**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 119483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -50d (base 15) in base 13?\nAnswer: -697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 73, -2 in descending order.\nAnswer: 73, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37453 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 319 + 429?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**5 - 8*d**4 + 5*d**3 - 4*d**2 + 3*d + 3. Let y(b) = -b**4 - b**3 + b + 1. Let c(w) = 3*y(w) - z(w). Factor c(n).\nAnswer: -n**2*(n - 2)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1426242.6 months to years.\nAnswer: 118853.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2*p = 9, 5*l + 34*p = 29*p + 15. Suppose -3*s - 241 + 661 = l*m, -3*m - 120 = -s. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -5, -291, 308 in increasing order.\nAnswer: -291, -12, -5, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -111*y - 130*y + 196*y + 1035 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**3 - 20*r**2 + 11*r - 11. What is the remainder when f(10) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in -1, -34, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from czyycczczyzcyzzzcyc.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0193, 128, 2.\nAnswer: -0.0193, 2, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxbxblxlxcxx. Give prob of sequence xl.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 363 - -10140?\nAnswer: 10533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of 2*v + 0*v**2 - 1\/24*v**3 + 1\/16*v**5 - 1\/48*v**4 + 0 - 1\/40*v**6. Factor o(m).\nAnswer: -m*(m - 1)**2*(3*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 104\/4 - (-2 + 2). Calculate the greatest common factor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z**3 + 2*z**3 - 2 + 17300*z**2 - 17299*z**2 + z to the form t*z**3 + n*z**2 + q + j*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1451862 (base 9) in base 8?\nAnswer: 3036123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22179791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + 2666?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 54124923 a multiple of 392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 164567.8 micrograms in milligrams?\nAnswer: 164.5678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0673 + -0.0327. Which is the second smallest value?  (a) t  (b) 1.5  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 4*o + 29 = 0, 0 = 5*w + 2*o + o - 63. Suppose 2016 = -10*y + 2096. Solve 13*s - w*s = y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2086 or -2088?\nAnswer: -2086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 AM and 5:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + 173\/((-129)\/33 + 4).\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9573091 divided by 187.\nAnswer: -51193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5165 + -5155. Let v be 3\/1 + -1 + 0. Suppose -v*l - s = 4*o, 2*o - l = -5*l - 2. Sort -17, 2, 0, o in ascending order.\nAnswer: -17, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/((-399)\/(-63))*2\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17217455 and 2300.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 345660.\nAnswer: -34566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 6:33 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, p: 3, a: 1, b: 2, x: 9, r: 3}. Give prob of picking 1 y, 2 b, and 1 r.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**2*i - b**2 + 3*b*i - 91*i with respect to b.\nAnswer: -2*b*i - 2*b + 3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -5  (b) -14\/59  (c) 1\/3  (d) -0.06  (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 0 + 0*w**2 + 37*w + 1\/15*w**4 + 1\/50*w**5 - 1\/5*w**3. Factor s(y).\nAnswer: 2*y*(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-9)\/(u\/(u\/(u\/(u**15*u*u)))))**(2\/33) assuming u is positive.\nAnswer: u**(14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1, 4, -81, 0 in descending order.\nAnswer: 4, 3, 1, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/33 greater than 25\/102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, k: 2, a: 4, q: 1}. Give prob of sequence cck.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(-18) - (-2)\/4. Suppose 63 = l - 7*j, 4*l + 3*j = -11 + 263. Which is bigger: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 10) in base 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 26 = 11*q - 14*q, -5*o = 6*q - 32. Solve 8*i - o*i + 3*l = -26, -2*l - 29 = 5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = -48843*i + 48841*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5 + -371342.3364232.\nAnswer: -371342.8364232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30704 greater than or equal to 30766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 236264 divided by 4.\nAnswer: 59066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 169 - 59. Let z = -110.094 + b. Let a = z - -0.15. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 59*m - 6. Let y(n) = 2*n. Let x(p) = -o(p) - 6*y(p). What is the derivative of x(s) wrt s?\nAnswer: -71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 15*t**3 + t**2 + 2*t - 4. Let l be h(2). Suppose 0 = l*b - 127*b - 6. Is (-1 - b)\/(16\/7568) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 15396*s - 15400*s - 24 = 0, 0 = -l - 4*s - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (-2 - -57) + 0. Let m = i - 44. Calculate the lowest common multiple of 2 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 3*p - 1, 462*k - 33 = -4*p + 467*k. Let u(s) be the first derivative of 43 + 4\/9*s**3 - 44\/3*s + 20\/3*s**p. Factor u(d).\nAnswer: 4*(d - 1)*(d + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v + 2. Let m(t) = t + 1. Let x(w) = m(w) - q(w). What is x(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 193*v**2 - 193*v**2 - 3 + 45*v + 2*v**3 + 0 as m*v + y*v**2 + o + k*v**3 and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -93 - -101. Calculate the greatest common factor of h and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1756122 divided by -878061.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -26666536 (base 9) to base 11\nAnswer: -74740a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhffhuhhuuhuuhhf. Give prob of picking 3 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 3:25 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3433 is divided by 1712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 9)*(81 - 81 + 22*r)*(1 + 0 + 7).\nAnswer: 1232*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*o + 4*c, c = 4*o - 3*c - 20. Let a = o - 5. What are the prime factors of (2 - 3) + 16 - a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**5\/9 - 2*z**4\/3 - 4*z**3\/3 - 10*z**2\/9 - z\/3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 10. Let s be u(-10). Let z = -0.01 - -5.01. What is the biggest value in z, -1\/8, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tdfdddpddwvppwfwdtt. What is prob of sequence pp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 5:40 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3613882 - -3?\nAnswer: -3613879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(2*a**2 + 8 - 8).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*z - 1. Let p(i) = i**2 - 11*i + 12. Let t be p(10). Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**2 - 39*f - 44. Calculate n(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11814 and 11814.\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/(-9) + (-1420)\/(-18). Let o(y) = -6*y - 6. Let z be o(12). Let c = s + z. What is the second biggest value in c, -3, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.149 - 13.149. Let o = 21.3 - f. Round o to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from {z: 1, h: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (-6 + 8) - 0) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 1 = -2*u. Let v(x) = 4*x**3 - x + 1. Let l be v(u). Let t(n) = -l*n**3 + 18 - 8 - n - 9. Calculate t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/1)\/(1085\/186*285\/133)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -43. Suppose -129 = x - y. Let j = x - -103. Solve -2*d - j*z - 6 = 0, 3*d - 4*z = -z - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 118854 and 9372?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -11515411.58 plus 10?\nAnswer: -11515401.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h**2 - 6*h - 3. Suppose 2*n = -5*k - 12, 3*n = -2*k - k. What is p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w + 10. Let d be p(-7). What is the second derivative of -3*z**3 + 3*z + 6*z**d - z wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29925 divided by -9.\nAnswer: -3325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, 0.4, -8\/5, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 484*m - 3720. What is the remainder when z(14) is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/(-10))\/((-20625)\/(-3125)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*j**2 + 7*j**2 + 11*j**2 as q + l*j**2 + c*j and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m + 5. Let r be z(-3). Let u(q) = -35 + q + 2*q**r + 69 - 33. Let h(i) = -i**2 - i. What is h(n) + u(n)?\nAnswer: n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((-56)\/(-231)) + -17*(-38)\/323.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -6*t**3 - t**2 - 2*t - 4. Suppose 0 = -2*d - 25 + 17. Let n(g) = 5*g**3 + g**2 + 2*g + 3. Determine d*n(h) - 3*q(h).\nAnswer: -2*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 825, 442, -613, -2676, -6083, -11170, -18273, -27728?\nAnswer: -39871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 584 and 657.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, -20, -143, -392, -809, -1436, -2315, -3488?\nAnswer: -4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 2:11 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 4:37 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23091 - -27295. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -5 + (0 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 - 0 - (11 + -17). Let -4\/3*x - 2\/3*x**d + 0 - 2*x**2 = 0. Calculate x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d - 2*d + 11388 = 0. Suppose -2*x + d = -815. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120734707?\nAnswer: 2113, 57139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 15*x**2. Determine c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/11 + 48\/22. Suppose 0 = h*w - 3*w + 44. What is the common denominator of 4 + (20\/w - 3) and 30\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2151 (base 7) to base 10.\nAnswer: -771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*k**2 + 138*k**2 - 25*k**2 - 27*k**2 - 19*k**2 - 20*k**2 - 27*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 178 + -107. Let r = u + -69. Suppose -r*b - s - 1 = -12, -19 = -b - 5*s. Solve -3*c + 6 = -3*n, b*c - 6 = 5*n + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -985 = 4*i - 1013 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -52 or -1217?\nAnswer: -1217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -859 - -864. Sort -2\/19, r, -45, -4 in descending order.\nAnswer: r, -2\/19, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwgwowgwgwwo. Give prob of picking 1 w and 3 g.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-4))\/((-5)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001958 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 3*m + 26, 3*k - 32 = -8*m + 12*m for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*h)*(-2 - 2 + 3)*((-24 + 46 + 64)*(1 - 4 + 0) - 1 - 3 + 2)*(-62 + 62 - 7*h).\nAnswer: -3640*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2060 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**3 + 7*w**3 - 2*w**3 + 2*w + 3*w**3 - 2*w + (-1 + 1 + 2*w**2)*(5 - 5 - w) in the form j + p*w + g*w**2 + i*w**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(2299)*-3)*4*-4)**2.\nAnswer: 33792*sqrt(19) + 5297920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t. Let m(g) be the second derivative of g**4\/12 - 35*g**3\/3 - 22*g**2 - 28*g. Let k(s) be the first derivative of m(s). Calculate l(k(c)).\nAnswer: -4*c + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42148, -42149, -42148, -42145, -42140?\nAnswer: -42133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1012110000 - 200012202?\nAnswer: -1212122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -94 + 110. Suppose 99*n - 101*n + f = 0. Calculate the highest common divisor of n and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -57.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 556 and -46.2893.\nAnswer: -25736.8508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -252 - -264. Let w be ((-12)\/(-15))\/((-4)\/(-10)). Suppose 0 = -w*t - 4, y - t - i = -2*t. Solve -4*p + 3*a + y = -2*a, -p - a = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.22 + 0.22. Let f = 11.5 + v. What is the closest to -1\/2 in 2, f, -2\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k - 20. Let g be i(22). Which is the nearest to g?  (a) 1\/2  (b) -1\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -4*p + 7*p. Suppose 7*t - 36 = 3*t. What is the smallest common multiple of p and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6244 - -900. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, -12, -20, -28, -36?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -80 - -128. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(612)*2 + -2 + 5 + (2 + (5*(sqrt(612)*-1 - sqrt(612)) - (sqrt(612) + sqrt(612) + 1 + 4 + sqrt(612))))**2.\nAnswer: 480*sqrt(17) + 103438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3*(6*(-1*sqrt(132) + sqrt(132)) - -4*(sqrt(132) - -1*sqrt(132))))\/((sqrt(132) - -6*1*sqrt(132))\/sqrt(11)*4).\nAnswer: -30*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2ab9 - 8c?\nAnswer: -2b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -13642, -8, -16.\nAnswer: -13642, -16, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 100770650 bigger than 100770647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4*(-1 + sqrt(363)*2)**2 - (sqrt(243) - 5*sqrt(243)*1)\/(1*-1*sqrt(9)).\nAnswer: -188*sqrt(3) + 5807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-495)\/(-180))\/(2\/(-16)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**7)\/((r\/r**(-1\/11))\/r))\/(r**(-2\/7)*r)**(-3\/17) assuming r is positive.\nAnswer: r**(-7808\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-74)\/25)\/(7 - (11 - 5))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 33*x + 20. Let y be i(33). Calculate the greatest common factor of 8 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*y**(-2\/3)\/y))*y**(-3\/23)\/y)**(-36) assuming y is positive.\nAnswer: y**(1488\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/7392 and 1\/450648?\nAnswer: 12618144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1.9 times -117\nAnswer: -222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49403.\nAnswer: 127, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -164 greater than -31880\/193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*g**4 + 10*g**3 - 35*g**2\/4 + 5*g\/4.\nAnswer: 5*g*(g + 1)*(4*g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -695\/4 + 174. What is the nearest to 3 in h, 1\/5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 298421034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*z + 6596 - 6308 = 0. Which is the closest to -44?  (a) 2  (b) z  (c) -0.1  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 673462.1 millimeters to nanometers.\nAnswer: 673462100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**2 - 3*m - 50. Calculate the lowest common multiple of 8 and g(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -25. Let q(v) = -2*v - 3. Let i be q(-6). Let d = s - i. Calculate the least common multiple of d and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -n - 5, 3*n + 6 = 5*q. Let p be q*1\/(-2) + 49. Let f = -36 + p. Solve 2*w + 2*u + 10 = 0, -2*w - 4*u - 1 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000224675348 to 7 dps.\nAnswer: -0.0000225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + a + 7. Let o(f) = f + 3. Suppose -4*x + 16*x + 36 = 0. Let i(t) = x*u(t) + 7*o(t). Determine i(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = 5*h - 2*y, -2*h = -5*y + 10. Suppose -4*r - r = h. Suppose 3*s - 2*s - 2*l = r, 12 = -s + 5*l. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -95, -305, -657, -1145, -1763, -2505, -3365, -4337?\n\"Answer: q**3 - 77*q**2 + 14*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g\/(g\/g**(1\/6)*g))\/g*g)*g**(2\/5))\/(g\/(g*g**0*g))**42)\/((g**(1\/6)*g\/((g*g**(-1))\/g))\/((g\/((g\/g**0)\/g))\/g)**(-2\/39)) assuming g is positive.\nAnswer: g**(631\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/3 + 78\/18. Suppose -3*a = -5*p - 2 - s, -3*a = -p - 6. Solve 0 - a = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-637)\/364 + (-33094)\/(-8).\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k**3 + 194*k + 5*k**3 + 18*k**3.\nAnswer: 23*k**3 + 194*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*n = -61*n + 179*n + 3724 - 12691 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-192)\/(-6) + 0 + -2. Let y be 36\/10 + 12\/k. Suppose 4*n - 24 = -2*x, y*x - 5 + 22 = 5*n. Solve 3 + 2 = -n*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22444 + 5*g**2 - 22444.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 58, -2, 1, -5, 279 in increasing order.\nAnswer: -5, -2, 1, 58, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 4)*(-2*r - 1 + 1) + 0*r - r - r + 1 + 2*r - 1 - 25*r + r - 10*r + 9 - 15 + 5 + 1 + 478*r + 395*r.\nAnswer: 835*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - 55*i - 742. Let l be a(-24). Put l, 4, -945 in increasing order.\nAnswer: -945, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + 11 + 1 + (7 - 39)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 83191014?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -870.427 + 870. Round c to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 964818?\nAnswer: 2, 3, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 2. Let s be w(0). Let n be ((-5)\/4)\/((-1)\/16). Suppose -2*p + 12 = s, 0 = -5*l + 4*p + n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**6\/8 - 13*p**4\/24 + 16*p**2. What is the second derivative of q(u) wrt u?\nAnswer: -90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/35)\/2*1302\/1488.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 218.5 + -218. Sort -0.1, 3, b, 0.\nAnswer: -0.1, 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1071 - -1222. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -16*o + 26. Suppose o*z + 1 = -9. Let n be z\/(-2)*44\/385. What is the nearest to 0.4 in n, -4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 2:30 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.7 - 4.67. Which is the third biggest value?  (a) i  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 137\/11*(-380)\/8. Let s = r - -591. Find the common denominator of s and -51\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.613 and 3435.\nAnswer: -2105.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*r + 18*r + 22*r)*(4*r - 2*r - 3*r)*(132 - 132 + 127*r) to the form q*r**3 + s*r**2 + x*r + p and give q.\nAnswer: -4064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*a**4*t**2 - 1520439*a**3*t**3 + 765*a**2*t**3 - 3662*a**2*t**2 wrt a.\nAnswer: 72*a*t**2 - 9122634*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 208165651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-912)*7*3*28\/147.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.01642 + 41.98358. Let k = -65 - -112. Let c = k - n. Sort 4, -0.2, c, -4\/7 in increasing order.\nAnswer: -4\/7, -0.2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Suppose -m*p + 35 = 3*p. What is the lowest common multiple of 5 and p?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*i + w = 0, i + 4*w = 10. Suppose 0 = 2*u - f + 1, 0*u - 22 = -u - 4*f. Suppose 4*d - i*p - 340 = 0, -4*d - p + u*p = -344. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*l = -39*l - 4*z - 35832, -4*z = -4*l + 71672. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 145*q**4 + 17*q**3 + q**2 - 84*q + 2?\nAnswer: 3480*q + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 0 + 2 - (-7 - (-4 + -4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 1)*(2*h - 2*h - 2*h)*(1 - 1 + 5*h) in the form u + f*h + g*h**2 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 416886308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 48053695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20736 - -5.833.\nAnswer: -20730.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/(-69)*(-1)\/(-3). Suppose 10*n + 176 = -94. Let p be (-2 + (-60)\/n)\/(5 + -3). Which is the third smallest value?  (a) k  (b) p  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1541*s + 1539*s + 653*s)*(2*s**3 + 2*s**3 - s**3) as o*s + r*s**4 + b*s**2 + u + x*s**3 and give r.\nAnswer: 1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 1 - 5*c**2 + 4*c**2 + 2*c**2 + 7*c. Let m be (-15 - (11 + -23))*(-16)\/(-6). Give i(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 10*u - 4. Give f(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -1021210210?\nAnswer: -1021210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -959 and -3?\nAnswer: 2877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13423, 13421, 13419, 13417, 13415, 13413?\n\"Answer: -2*i + 13425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 70, -5, 880, 25 in ascending order.\nAnswer: -5, 4, 25, 70, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(2\/11)\/h*h**(-10)*(h**(-1\/2))**(21\/8) assuming h is positive.\nAnswer: h**(-2135\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**2 - 14*k**2 - 4*k**2 + 19*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 8*z**3 - 32*z**2 - 26*z + 1. Let i(o) = 3*o**3 - 11*o**2 - 9*o. Let v(h) = 11*i(h) - 4*r(h). Let n be v(-6). Solve -6*l + 20 = -n*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4402 smaller than 57228\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -76*(-3 + 21\/140 + 3) - -11\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of q**3\/6 + 73*q. Let b(o) = o**2 + 3. What is a(b(k))?\nAnswer: k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 + 83*c + 464. Let b be t(-77). Let a(q) = -6*q**3 - q**2 + 1. Let x be a(-1). Solve -b*f = -5*f + x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46608 - -46613. Which is the fourth biggest value?  (a) 9\/7  (b) -6  (c) 1  (d) -0.3  (e) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/18)\/(2\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117)\/15*5500\/35750?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.098, -6, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -1200221?\nAnswer: -1201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 340.79 - 0.79. Let a = y - 339.99226. Round a to 4 dps.\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*b**3 + 12*b - 12*b)*((-b - 2 + 2)*(2 - 2 - 2) - 9*b - 3*b - 3*b).\nAnswer: -156*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.715*10.\nAnswer: 7.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 161 + -153. What is the smallest common multiple of c and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of 2\/3*h**3 + 3*h - 1\/20*h**5 + 0 - 1\/6*h**4 - 1\/2*h**2. Let j be c(-4). Solve -j - 25 = 3*w + 5*b, -2*w - 2*b - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 77809 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - l + 6 = 3, -2*l + 6 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 2*w - 2*w)*(6 + 8 - 23)*(134 + 46 + 122) in the form h + p*w and give p.\nAnswer: -5436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 17251 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/10)\/((-130)\/(-520))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3564, -15351, -35004, -62529, -97932, -141219?\nAnswer: -192396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 + 13*j**2 + 65*j + 15. Let m be y(-5). What is the highest common divisor of 35 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mgmmmmgmmmgmggmmmmmm?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/5  (b) 4  (c) 25.3  (d) 1\/252  (e) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 PM and 11:43 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*d + d + 10, -5*d + 4*p = 24. Which is the closest to 1?  (a) 3  (b) d  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 194*l - 60*l + 181*l - 4*l + 2*l - l + (-l - l + 0*l)*(0 + 4 - 3) + (-2*l + 0*l + 3*l)*(-1 + 3 + 0).\nAnswer: 312*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -12858, -12948, -13100, -13314?\n\"Answer: -31*t**2 + 3*t - 12830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - 23)\/(11\/2)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3*h - 1. Let v be o(1). Let p(u) = -3 - v*u - 3*u + 4*u. Let d be -24 + 18 - (2 + (-12)\/4). Give p(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.158 times -0.307?\nAnswer: 0.048506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -2*s**3\/3 - 9*s**2\/2 + 38*s - 45. Let r be h(-7). Solve -5 = r*i - 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/(-2))\/((-1)\/6). Suppose -r*z = 5*x + 2, 4 = -2*z - 2*x - 0. Suppose -6*d = -10*d - 5*g - 3, -5*d - 2 = 8*g. Sort z, d, -1 in descending order.\nAnswer: -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 times 18?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.15 - -12.15. What is the second biggest value in a, 168, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**3 - r**2 - 6*r + 1. Let h(s) = -s**2 - s - 1. What is h(o) - q(o)?\nAnswer: -2*o**3 + 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-33) + (1 - 1). Let t be 0 + 1 - (-21)\/(-33). Let q = t + b. Is 0.5 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -357993*m**3 + 334763*m wrt m?\nAnswer: -2147958*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 3)*(417*d**2 - 515*d**2 - 435*d**2 + 4*d**2 - d**2 - d**2 + (1 - 3 + 0)*(2*d**2 + 0*d**2 - d**2) - 5*d**2 + 2*d**2 + d**2).\nAnswer: 1070*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-35)*(-3 + 11 + -1). Let r = 0 + 0.1. Let g = r + -0.1. Which is the closest to -4?  (a) 0.3  (b) g  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1072847008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3868 - 35*q**2 + 14*q**2 - 24*q**2 + 7734 - 3845 to the form z*q**2 + u*q + f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2*u - 33 = -2*w, -w = -3. Let v(d) = 11*d**2 + 17*d + 23. What is the tens digit of v(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 256968 and -0.3.\nAnswer: 256967.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 311.45 or -1\/3?\nAnswer: 311.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*(-5 + (0 + -1 + sqrt(405))*6 + 5*(sqrt(405) + -2*(sqrt(405) + 1))))**2.\nAnswer: -54432*sqrt(5) + 121824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q + 36 = 9*q. Suppose r + 1 = v - 7, 4*r = 2*v - q. Suppose 11*i = v*i + 588. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 737 (base 10) to base 12.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 16) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 38887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -580*h**2 + 158*h**2 + 2*h - 2*h - 207*h**2.\nAnswer: -629*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(1 + -1 + sqrt(3)) + -3 + (((sqrt(324)*-4 + sqrt(324))\/sqrt(9))\/sqrt(12) + 2)**2.\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c. Let d be w(-1). Let r(p) = -1 - 1 + 6*p + 0*p + 0. Is 10 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -56\/158287 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve -476 - 23 = 21*k - 58 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 40831\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 880 and 12723040.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 66.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, p: 5, h: 11, q: 2}. What is prob of picking 1 q and 1 h?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/8*((-20)\/12)\/(1065\/(-1278))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9221.61 + 581652.39. Let g = 590745.0182 - z. Let p = g - -129. Round p to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from enenenennnnnnn.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -68 + 67. Let b be (4\/(-10) - (-5889)\/(-15))*v. Suppose -3*f + b = -495. Is 51 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 6 + 90*b - 2 - 30*b - 33*b - 19*b - b**2. Determine t(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 46291 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*0.348.\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 3058  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127b (base 12) to base 5.\nAnswer: 31421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1000808 and 0.05.\nAnswer: -50040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 4*q**2 + 4*q - 2. Suppose -4*k + 9 = -k. Let v be n(k). Which is bigger: 6\/5 or v?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -170 + 168. Sort w, 6, 1 in ascending order.\nAnswer: w, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 92 = -7. Let p = -15 - n. Suppose -5*i + p*m + 11504 = 0, -9196 = -5*i + i - 2*m. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -3*y + 13, y + 4*f + 4 = 5*y. Let s(n) = 36*n + 4. Let w be s(y). Suppose 298 + w = 2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11553823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -116609810 > -116609808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8239*k**4 + 32418*k**2.\nAnswer: -197736*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*c - 100, -5*r + c - 88 = -294. Suppose 0*i = 3*i - r. Let t = 16 - i. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {l: 3, m: 1, v: 1, f: 3, w: 2, s: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17349001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205423763 - -232.498.\nAnswer: 205423995.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 189598 minus 942064869?\nAnswer: -941875271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*a + 0 + 27 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16935 is divided by 394?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 2761908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*(i*((i*i**(-1))\/i)\/i)\/i))\/i)**(-13\/4)\/(i**(-1\/3)\/i)**18*((i*i\/i**(1\/6))**(1\/6))**(2\/45) assuming i is positive.\nAnswer: i**(33637\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 36, 69, 102, 135?\n\"Answer: 33*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(63) + sqrt(1575)*1)\/(-6*-2*2*sqrt(144)).\nAnswer: 11*sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**2 - 7*l + 1. Let g be c(-4). Let h be (-132)\/(-5) + (119\/(-35) - g). Solve t + 2*t - 4*b + h = 0, 4*b - 14 = -3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327.2 times 274?\nAnswer: 89652.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u - 5*z - 30, 0 = 5*u - z - 12 + 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.3  (c) -3  (d) -18  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -151733413 by -191341.\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 49020 a multiple of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-3)\/3)\/((-3)\/12). Let c = -8 - -13. Suppose p + 4 = 2, c*v = -3*p + 74. What is the highest common factor of v and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*z + 0 + 1 - 11*z + 11*z.\nAnswer: -40*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 2*n**2. Let j(s) = -6483*s + 19. Determine j(p(a)).\nAnswer: -12966*a**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2235241648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2532840763\/4136519184 + -1\/13606971. Let m = 10\/133 + k. What is the common denominator of (2\/3)\/((-8)\/18) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-4) - (3842\/(-2712))\/((-2)\/30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2300 divided by 51.\nAnswer: 2300\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -9*y. Let w be z(-1). Let g(v) = -v**3 - 9*v**2 - 7*v + 2. Let a be g(-8). Let b be a\/w*(-3)\/2. Solve -2*j = -j - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h - 4383. What is g(-175)?\nAnswer: -4033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 140282, 280566, 420854, 561146, 701442, 841742, 982046?\n\"Answer: 2*p**2 + 140278*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2099*b + 102205 = -2574*b - 308210 - 66231 for b.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 918.5 + -46915.\nAnswer: -45996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.991  (b) -2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27559 + 27559. Which is greater: 1787 or i?\nAnswer: 1787","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 10:22 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -760, -1366, -1974, -2584, -3196?\n\"Answer: -o**2 - 603*o - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -27*a**6 + 414*a**5\/5 - 139*a**4\/2 - 10*a**3 + 24*a**2 + 8*a + 6. Factor o(f).\nAnswer: -2*(f - 1)**3*(9*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115782902 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b8 (base 15) in base 10?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (0\/1 - 141)\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**2 - 411*t + 409.\nAnswer: (t - 1)*(2*t - 409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) 0  (c) 0.2  (d) 31  (e) 1  (f) -11\/43\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 < -123\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8\/(-3) - (-4)\/2)*-3. Suppose -3*i = -z*i + 2*u + 5, -4*u = -2*i + 6. Is -1\/14 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 16 = -3*g. Let p = -16 + 24. What is the least common multiple of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-324)\/21*(-14630)\/76?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of -689*t**5\/20 + 2602*t**2 - 7611*t. Differentiate f(r) with respect to r.\nAnswer: -2067*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 36306 = -11226. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3426 + 2729 = -167*i + 1980 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30990 and 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.808518ns?\nAnswer: 0.000000808518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 788*m**3 - 3*m**2 + 9*m + 53. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 12\/41  (b) 0.5  (c) -0.2  (d) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -18*a**2 + 4*a. Let q(d) be the third derivative of 19*d**5\/60 - 5*d**4\/24 + 9*d**2 + 15*d. Give -5*g(k) - 4*q(k).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -1  (c) -0.1  (d) 1748  (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - 15*x + 50. Let p be o(9). Let j = 108 - 35. Let q = -70 + j. Which is the fourth smallest value?  (a) p  (b) q  (c) 1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -195*z - 50*z**2 + 585*z - 188*z - 202*z + 4 to j*z + s*z**2 + u and give s.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456275.\nAnswer: 5, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -103754?\nAnswer: -2\/51877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -fa (base 16) in base 9?\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + ((sqrt(300) - sqrt(300)*-1)*5*-5 + (-5*2*sqrt(300) - (sqrt(300) - sqrt(300)*-1*6)) + 5)**2.\nAnswer: -6700*sqrt(3) + 1346720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/(-8)*12\/(-10). Suppose 0 = -2*g + 1 + n. Suppose g*q - 6*q = -12. Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3236 + -1760. Suppose 4*u - 5*r = q, 851 = 5*u + r - 1023. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((-4 - 0) + 1929\/(-2)). Let x = 30982\/9685 - j. Factor -8*i - 12\/5*i**2 + 18\/5*i**3 - x.\nAnswer: 2*(i - 2)*(3*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170676111?\nAnswer: 3, 31, 1835227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 453943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 30*v**2 - 57*v - 22. Let z be o(-28). Let n(s) = -1 + 31*s + 28*s - 60*s - z. What is n(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -126*o - 53158 = -261*o + 128*o. Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from zzddzzzzzdzzzz.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = -u - 2*u + 4*y, 4*y = 2*u - 84. Let l = u - 27. What is the units digit of (-6)\/33 + 57\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/39 + 2*1\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1978)\/(-6) - (-17)\/(-408)*40 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*12\/(-156)*1\/6*2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 12*s - 79. Let p be k(15). Let f = p - 17. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 2*k. Suppose 4*f + f - 1275 = k. Is 15 a factor of ((-8)\/(-20))\/(3\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110124 is divided by 54976?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-19))\/y**(-2)*(y\/y**(-1))\/(y\/((y**(-4\/5)*y)\/y)) assuming y is positive.\nAnswer: y**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.881 - -1.941. Which is the closest to 0?  (a) 1\/7  (b) s  (c) -2\/3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5344 divided by -5\nAnswer: -5344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-788*a**2 - 14*a**3 + 788*a**2)*((a - 6*a + 3*a)*(0 + 0 + 2) + 14*a - 23*a - 5*a).\nAnswer: 252*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 1:07 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7646*l + 8855*l + 27807 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7 + -3.7. Let v = -1926.8 + 1726. Let u = v + 201. Which is the fourth smallest value?  (a) q  (b) -1\/4  (c) u  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2111121022211 (base 3) to base 12.\nAnswer: 542087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**4 - y**4 + 3*y**4 + 0*y**4 - 11*y**4 - 19*y**4 + (9 - 3*y**2 - 9)*(y**2 - 2*y**2 - y**2).\nAnswer: -23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 251661049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -8 - 2*l - 6*l + 2*l**2 - 3*l**2. Suppose 0 = 14*u - 19*u - 30. Calculate v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of 5*y**7\/112 + 19*y**6\/80 + 63*y**5\/160 + 5*y**4\/32 - y**3\/8 + 857*y. Suppose d(u) = 0. Calculate u.\nAnswer: -2, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 62*h**5 - 4*h**3 + 4*h**2 + 7*h. Let i(z) = 63*z**5 - 3*z**3 + 3*z**2 + 7*z. Let v(f) = 4*i(f) - 3*s(f). What is the second derivative of v(x) wrt x?\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12*i**2 - 343*i**4 - 20*i**3 + 20*i - 2*i**2 + 348*i**4 - 15.\nAnswer: 5*(i - 3)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*m - 10, 3*u - m + 26 = 36. Let k(h) = h**2 + 10 - 3*h**2 + 0*h**u + 2*h**2 - 2*h**2. Let v(j) = 3*j**2. Give k(v(z)).\nAnswer: -18*z**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -p. Let d be -3*(p - -28)\/2. Let b be 1\/5 - d\/15. Let a(r) = -2*r + 1. What is a(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 148074 and 117392?\nAnswer: 13030512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -4*z**3\/3 + 20008*z**2 - 1157100*z + 50285072\/3 = 0.\nAnswer: 29, 14948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -176 - -190. Let t be 72\/u - (-32)\/(-224). Solve -g = t, -3*k - 3*g + 8*g + 28 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2411?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/11, 1\/8, -0.0194?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 10, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - -1 - 1)*-4. Let i(b) = -1 - 3*b + d*b - 8*b. What is i(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-9)\/j)\/j)\/j*j**0*j**(1\/4)*(j*j**(-1\/7)\/j)\/j)\/(((j**5\/j*j)\/j*j)\/(j\/j**(2\/9)))**(16\/5) assuming j is positive.\nAnswer: j**(-32009\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-290)\/(-2)*(-8943)\/(-14905).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) 16.8  (b) 0.02  (c) -167\/8  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 49 = -0*i. Is -9 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, c: 1}. Give prob of sequence gm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -8. Let i = -3 + f. Which is the closest to i?  (a) -0.5  (b) -0.1  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 190\/8 - 2\/(-16)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -4  (b) -1.46  (c) 23\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0602 and -1.4.\nAnswer: -1.3398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9024, 18027, 27028, 36027, 45024, 54019?\nAnswer: 63012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*k**2 - 451*k**2 + 92*k**2 + 94*k**2 + 94*k**2 + 68*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -19.6987 at most as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 PM and 5:37 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11577573222+5.3\nAnswer: 11577573227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 12633, 25268, 37903, 50538?\n\"Answer: 12635*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = -114 - 102. Let z = -19 + q. Suppose z*m + 265 = 13*m. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * -107.3.\nAnswer: 53.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/(-7))\/((-72)\/(-3528)). Let c(q) = -q - i + 56 - 11. What is c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245757375 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.3 <= 2422\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-0.0478352.\nAnswer: -0.01913408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 817118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - 37\/(-1))*1. Let s = -13 + t. Suppose 2*g - 2 = s. Solve -5*d = 3 + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -2*d + 15*p, -2476 = -6*d + 4*p - 2450 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9.3 - 6.607716.\nAnswer: -15.907716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 10) to base 14.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-1 - (-14)\/8). Let m be 6\/(-1) - (1472\/184 - 14\/2). Sort 0, d, m in increasing order.\nAnswer: m, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 8 + 4. Let i = 4 - 4. Let m(k) = -k**3 + i + 2*k**3 - 3*k**2 + 0. Determine m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from {y: 10, j: 4, l: 1, g: 5}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -50622.9 - -50623. Suppose 11 = -5*c + 1. Let j be 5\/c - -2 - 0. What is the nearest to j in -0.4, u, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*34969378\nAnswer: -69938756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(700) - ((sqrt(336) + -1*sqrt(336))\/sqrt(12) - sqrt(28)))\/((-2*sqrt(20))\/sqrt(5) + sqrt(324)*2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**3 - y**2 - 2*y**4 + y**2)*((-2 - 3 + 4)*(2*y - 5*y + 5*y) + (0*y - 5*y + 3*y)*(-1 + 5 - 2) + 2*y + y + 0*y).\nAnswer: 6*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 7*x - 31. Let t(v) = -4*v + 15. Determine 2*q(c) + 5*t(c).\nAnswer: -6*c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.36745 - -1573?\nAnswer: 1573.36745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/13 or -1309953?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 15*x**2 + 2. What is n(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -g**3\/3 + 7*g**2\/2 + 2*g + 1. Is o(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-473)\/86*(2 - 16). Calculate the greatest common divisor of 55 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 1. Let l = 6156 - 29649\/5. Let b = -225 + l. Is m greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (9\/2)\/((135\/(-440))\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-6) - (-40)\/6. Suppose -s*u + 2*u + 20 = 4*h, -2*h = 2. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34880788 to the power of 1\/2, to the nearest integer?\nAnswer: 5906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {k: 8, h: 4, d: 1, w: 1, t: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 34776 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, g: 2, h: 4, f: 4}. What is prob of sequence ghf?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3, 1\/10, 4, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o**2 - 95*o + 600. Give h(-53).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (j + 0*j - 2*j)*(5*j**2 + 2*j**2 - 4*j**2) + 555*j**3 - 258*j**3 - 80*j - 276*j**3 as v*j + z + t*j**3 + b*j**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + 51*j**2 - 51*j + 96. Let w be u(-52). Suppose -276 + 100 = -w*v. Determine d, given that -7\/5*d**2 + d**3 + 3\/5*d + 0 - 1\/5*d**v = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a + 316 + 68. Let n = a - 92. Sort -2, n, 0.\nAnswer: -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -139724596 rounded to the nearest 10000?\nAnswer: -139720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 4:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, -2, -24, 12?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((0 - (0 - 0)) + (-26 - -26)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3555890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqsh when four letters picked without replacement from sssqhshqqhsqqqh?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 68839 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3223*c**3 - 14*c - 2671. Let g(o) = 3223*o**3 - 12*o - 2677. Let w(d) = 7*g(d) - 6*y(d). Differentiate w(x) with respect to x.\nAnswer: 9669*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -101 + 180. What is the remainder when j is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 541*i**2*r**3 + 9*i**2*r**2 + 1274*i**2*r - 2655*i*r**3 - 2*i*r**2 + 14*i*r - r**3 - 2*r wrt r.\nAnswer: 3246*i**2 - 15930*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8631  (b) 0.7  (c) -1\/2  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 190*g - 1297 = -26*g + 38*g + 483 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -212*c - 248. Does 10 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from eqeiqeiqeoeqiieeieq?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.9 + -8.9. Let g = -7.5 - f. Which is the closest to g?  (a) 0.5  (b) 4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 85, 69, 51, 31, 9, -15?\n\"Answer: -m**2 - 13*m + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 28*b**2. Let k(z) = 116897*z**2. What is k(r(x))?\nAnswer: 91647248*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**4 - 276*y**3 - 268*y**2 + 276*y + 272.\nAnswer: -4*(y - 1)*(y + 1)**2*(y + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 10:03 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -251796916*t**4 - 18162538*t**2 + 4*t - 1 wrt t.\nAnswer: -6043125984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6411*h**2 - 277*h**3 - 6411*h**2 + (-h + 0*h + 3*h)*(6*h**2 + 9*h - 9*h).\nAnswer: -265*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 7*n - 24. Let a be v(7). Let r be 15*(85\/a + -3). Find the second derivative of -13*w**5 - r*w + 5*w - 5*w wrt w.\nAnswer: -260*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 8 + 4*v**2)*(3*v - 2*v - 2*v)*(3 + 4 - 4) in the form a*v**3 + g*v**2 + n*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 984815.\nAnswer: 5, 13, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29 - 18. Let b = -1 + y. Suppose 0 = 10*k - 0*k - 500. What is the greatest common factor of b and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/1491 - -4481\/11928. Solve 9\/8*q - 3\/4 - v*q**2 = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -13 - -1 - -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -260 times 26.2?\nAnswer: -6812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1912.4 - 1912.5999948. Let b = n - -0.2. What is b rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -23*w - 150. What are the prime factors of o(-38)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -234223341 - 4?\nAnswer: -234223400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 31, 812, 3105, 7666, 15251, 26616, 42517?\nAnswer: 63710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -235598.3 and 1.906.\nAnswer: -235596.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, 4, 3, -0.3, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10483*x + 2681*x - 9732*x.\nAnswer: -17534*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160333?\nAnswer: 23, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x + 57. Let f be v(0). Let d(n) = -5*n**2 + n - 2. Let z be d(-2). Let a = f + z. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 75*b - 6 - 34 = -70*b + 14 + 49, -21 = b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**4\/2 - s**3 + 3*s**2\/2 + 4*s + 2 = 0. What is s?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -173 = -8*c + 107. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2324 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 945778768 + -1\nAnswer: 945778767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 39\/4*q - 9\/2 + 15\/4*q**2.\nAnswer: 3*(q + 3)*(5*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(132) - (sqrt(132)*-1 + sqrt(132) + sqrt(132))*-3 - sqrt(132)))\/(-6*-1*sqrt(300)).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 789301821.3 and 3313.\nAnswer: 789305134.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 6*u + 6. Let g(z) = -1. Let n(r) = 2*g(r) + i(r). Let s be n(-5). Which is the closest to s?  (a) -2\/5  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -184841 (base 9) in base 8?\nAnswer: -340702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**5\/10 + 41*j**4 - 31892*j**3\/5 + 2278184*j**2\/5 - 68797096*j\/5 + 98008912 = 0.\nAnswer: 10, 94, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.043 - -47.043. Let i = 3.0021 - 49.9531. Let h = i + c. What is h rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3*((3*(sqrt(19) + 0) - sqrt(76)\/sqrt(144)) + -3))**2.\nAnswer: -102*sqrt(19) + 5635\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 2*m**2 + 5*m + 3. Let b(s) = s**3 + 6*s**2 + 7*s + 6. Let x be b(-4). Let j be 2\/5 - (-36)\/x. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1959 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = l - 4*l. Suppose -37 = 4*u - 25. Let a = l - u. Solve -a - 1 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*n**2 - 6 + 4 + n**3 - 2*n**3 + 6*n**2 in the form b*n + q*n**2 + d + x*n**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + d = -1. Let c = -21 - -26.1. Let t = c - 7.1. What is the third biggest value in -1\/5, t, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/5  (b) -5  (c) 5  (d) -2\/5  (e) 1  (f) -12165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009012555276 rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0*z + 2*z + 0*z)*(2 - 2 - 2) + 4*z - 4*z + 3*z + (0*z + 4*z - 5*z)*(23 + 48 - 24))*(-z + z - 2*z**2 + 2) as h*z**3 + o + i*z**2 + t*z and give h.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 259*l + 242*l + 5*l**2 - 4 - 442*l + (0*l + 0*l + l)*(2*l - l - 2*l).\nAnswer: 4*l**2 + 59*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4304869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(363) - (sqrt(363) - (0 + sqrt(363) - sqrt(363) - sqrt(363)))) - (4 + sqrt(363)*-2 - sqrt(363)) - (5 + 4*sqrt(363)*2))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 213*i + 427. List the prime factors of t(24).\nAnswer: 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(2380\/660)\/17*12\/2?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l - 11. Let k be j(-8). Let s be 2\/k*1\/2. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**2 - 226984*j = 0. Calculate j.\nAnswer: -226984, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/3069 and 25\/2232.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + (-8 - 3 - -3). Let v be 10\/(-15)*w\/(-16). Which is the closest to v?  (a) 0.3  (b) -2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 1:24 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 3:44 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -5*h + 33 + 56, 0 = 2*h - 2*i - 32. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -2102200111110?\nAnswer: 2102200111112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3 + 136*z**2 - 395*z - 532.\nAnswer: -(z - 133)*(z - 4)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 29*j**2 + j - 5. Let t(u) = 15*u**2 + u - 3. Let s(g) = 3*q(g) - 5*t(g). What is the second derivative of s(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100 + 0 + 5593 + -5562\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v + 0*v + 0*v + 77 + 0*v.\nAnswer: -6*v + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.6298808 and -43.\nAnswer: -43.6298808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + k. Suppose 3*i + 4*j = -20, 4*i = -i + 4*j - 44. Let t = 6 + i. Let c(u) = -3*u**3 - 2*u. Give t*n(h) - c(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -265*j**5 + 1398*j - 350*j**3 + 734*j**3 - 384*j**3 wrt j.\nAnswer: -5300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9638577mm to micrometers.\nAnswer: 963.8577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 + -39. What is the fourth biggest value in 0.2, 3, h, 1.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 123 - 15514225?\nAnswer: -15514102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -2a7479b2?\nAnswer: -2a7479b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1680, -3355, -5030, -6705?\nAnswer: -8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(-8)*(-17 + -7). Suppose -2*n + 0*u + 13 = u, -5*u = 3*n - a. Solve -n*z = -4*r - 7, 2*r - 3*z = -2*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1856, 5, -1, -3 in descending order.\nAnswer: 5, -1, -3, -1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q\/(q**(-24)\/q)*q*q*q*q\/(q\/(q*(q*q**(-23))\/q))*q*q*q*q\/q**(1\/9)*q\/(q*q**(-14)))**31 assuming q is positive.\nAnswer: q**(7502\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265126 is divided by 32059?\nAnswer: 8654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 722, 724, 726, 728, 730?\nAnswer: 732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5300, -5289, -5274, -5255?\nAnswer: -5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {e: 1, q: 1, s: 2, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-16)*t**(1\/14))\/(t**22*t**(9\/7)) assuming t is positive.\nAnswer: t**(-549\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.05559?  (a) 2  (b) 0.56  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n - 1 + 2 = -418*p + 415*p, 33*p - n + 103 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1505 is divided by 139.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 9 = 8*a, -a + 600*f = 603*f - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-two fifths of a century in decades?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 43*x - 138700 - 2073349. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -902 * 6425.\nAnswer: -5795350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -124*o + 236.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -6*i - 3. Let j be f(-3). Let k be (j\/2)\/((-6)\/(-12)). Solve 4*n - k = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-295))\/(40*(-26)\/(-1300))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -11431  (b) 0.1  (c) -21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 6*m**2 + 15*m - 12. Let d(q) = 3*q**2 + 8*q - 6. Let j(w) = -11*d(w) + 6*x(w). Suppose 0 = l + 1, -3*y + 15 = -3*l. Is j(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1191 - 672. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/147798 and -155\/16974.\nAnswer: 6059718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/6)\/((-4)\/(-30)). Suppose -4*b = 2*h - 10, -g*b = -2*b + h - 8. Let o be b\/((84\/8)\/(-7)). Is -2 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fdd when three letters picked without replacement from {n: 1, f: 3, z: 1, d: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1097, 2195, 3295, 4397, 5501?\nAnswer: 6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10175 divided by 5.\nAnswer: -2035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/2  (b) 4  (c) 0  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4730.88 - -4640. Let f = b - -91. Suppose 16 = s - 5*s. Sort f, s, 3\/5 in ascending order.\nAnswer: s, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2))**(-28))**44\/(((l*l**2)\/l)**(-27))**(-1\/11) assuming l is positive.\nAnswer: l**(27050\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 3 + 3)*(0 - 9 + 3) + (1 + 0 + 1)*(-3 + 3 - 1) + 3 - 3 + 1)*(m - 17*m - 27*m + (2 - 20 - 4)*(3 - 2*m - 3)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6482)\/(-10) - 2\/10. Let s = -1390 + c. List the prime factors of (0 + 0 + -1)\/(14\/s).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 24*v**2 + 112*v + 4. Let c be a(28). Solve -t = -2*z - 3*t + 8, 2*z + c*t - 12 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 17, 12, 7, 2, -3?\n\"Answer: -5*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.278 and -134.\nAnswer: -37.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293 is divided by 152.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 15*g - 3. Let y(c) = -c. Let n(f) = o(f) + 6*y(f). Suppose 5*p - 6*m = -4*m + 40, -4*p + 4*m = -44. List the prime factors of n(p).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 2*z**2 + 2. Let y(f) = -f**3 - 3*f**2 - 12. Calculate 6*r(k) + y(k).\nAnswer: -k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -130 - -129.8. Which is the fourth biggest value?  (a) 5  (b) s  (c) 0.3  (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/5 or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -7, 13, 51, 113, 205, 333, 503?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 4*c**2 - 20*c - 11. Suppose -b + 5*f + 19 = 0, -f - f = -5*b + 26. Suppose b*p = 14 + 30. Is d(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 5 = 0, -220*x + 3*j - 3523 = -224*x. What is the highest common divisor of 10780 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1176)\/(-6) - (-1 - 1)*2. Suppose 35*u - i = 30*u. What is the highest common divisor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 2*w = 13, 2*d - 5 = -0*d - 3*w. Suppose -d = 2*c - 11. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**2\/7 - 1560814*s\/7 - 1560816\/7 = 0?\nAnswer: -1, 780408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -6. Which is the closest to -1\/3?  (a) v  (b) -3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j - 2*j - j - 3*j + 2*j + 2*j + (-4*j + 0*j + 3*j)*(-2 - 2 + 3) + 1 - j - 1 + (-1 + 0 + 3)*(-5*j - 5*j + 5*j))*(-5*j + 3*j - 2*j).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 91 + -62. Let s = u + -28.9999957. What is s rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/54603693 and -133\/216?\nAnswer: 436829544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -550*p + 553*p = s - 8, -s - 5*p = -48. Solve -2*f - 10 = 0, 5*l - 7 = 4*f + s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -2. Let o be (-107)\/(-7) - 6\/21. Suppose n - 5*p = o, 2*n + 6 = -n - 2*p. What is the nearest to n in 4, -2\/7, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -2\/5  (c) 7292  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2281 - -2286. Let t(c) be the second derivative of -2\/3*c**3 + 1\/12*c**4 + 2*c**2 + 2*c + 0. Calculate t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of d**6\/120 + 7*d**5\/60 + 7*d**4\/24 - 5*d**3\/2 + 79*d**2\/2 + 67*d. Let i(t) be the first derivative of p(t). Factor i(u).\nAnswer: (u - 1)*(u + 3)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1924.5 rounded to the nearest 10?\nAnswer: -1920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1292 - -1371. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 10, -1 in decreasing order.\nAnswer: 10, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (57*y - 31*y - 112*y)*(-6*y + 10 - 10).\nAnswer: 516*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 477475 and -0.8226.\nAnswer: 477474.1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1561752 and 90579.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -23, 1782, 3\/4, 4\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 6 - 2 = 2*n, t + 17 = 5*n. Suppose 4*i - 28 = -c - 3*c, -n*i + 4*c = 0. Let o be 11\/3 + i\/(-6). Solve q - 6 = -o*x - 2*q, -20 = 2*x - 4*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -884, -1766, -2648, -3530, -4412, -5294?\nAnswer: -6176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -77923966 > -545467754\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f**5\/13 + 190*f**4\/13 + 976*f**3\/13 + 1944*f**2\/13 + 1184*f\/13 - 256\/13 = 0. Calculate f.\nAnswer: -8, -4, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y - 32. Let q(c) = 9*c + 2*c - 19*c + 4*c + 3*c. Give b(q(z)).\nAnswer: -2*z - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107007570.\nAnswer: 2, 3, 5, 1188973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 5*c + 34 = 0, -2*c - 8 = -4*l - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 2 - -4) + 7. Let u = 36 - a. Let n = u - 14. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -633\/1082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m**3 - m**2 - m - 1. Is q(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = -2*u - 195, 599*u - 605*u - 47 = 2*w + 197 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -613 - -674. Calculate the remainder when 301 is divided by p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) -457\/8  (c) 1  (d) -7  (e) 358  (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/16)*p*p**(-15)\/p)**28 assuming p is positive.\nAnswer: p**(-1673\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 4\/3*p**2 + 0 + 1\/3*p**3 + 0*p = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*h - 11*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 27. Let w(j) = 48*j**5 + 14*j**3 - 6*j. Let v(t) = -16*t**5 - 5*t**3 + 2*t. Let h(n) = g*v(n) - 5*w(n). Find the second derivative of h(f) wrt f.\nAnswer: -320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.12 + -3.88. Let n be 0\/(1 + -6 + 4). Let w be 1 + ((-3)\/4 + n)\/3. Which is bigger: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/5  (b) 1\/3  (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 8, b: 2, k: 4}. What is prob of sequence zkkb?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126 and 103339866.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -7 + (6 - -5) + -6. Is (-2407)\/((-2)\/u*(-1 + 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12018618 divided by 5.\nAnswer: 12018618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p + 0*p)*(-2 + 1 - 3)*(0 + p**2 + 0).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 3*x**3 + 66*x**2 - 3*x - 66 = 0?\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 11340?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 643890 to the nearest 10000.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -18 + (-19 + 12 - -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 11 = -3*q + d, 0 = -4*d - 16. Suppose 12 = -5*k - q. Let f(c) = -c**2 + 8*c - 9. Let u be f(7). Sort 3, k, u in decreasing order.\nAnswer: 3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283075867.\nAnswer: 157, 1803031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*v**2 + 0*v**2 + 0*v**2 + 7*v**3 + 9*v**3 wrt v?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvy when four letters picked without replacement from vyyvjvyyyyv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 4:13 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 7306.\nAnswer: 7305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*c*k*m*n - 40*c*k*n + 481*c*k - 3*k*m*n - k*m + k*n + 194*k - m*n + m wrt c?\nAnswer: -6*k*m*n - 40*k*n + 481*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -657 = -437*o - 750 - 1218 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2. Let x(k) = 3018610*k - 4. Determine x(t(c)).\nAnswer: 3018610*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -2*d**2 + 0*d**3 - 1\/105*d**7 + 0*d**5 + 1\/12*d**4 + 0 + 0*d**6 + 0*d. Find the second derivative of o(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/1359507 and -127\/3230?\nAnswer: 13595070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -144, -660, -1536, -2784, -4416?\n\"Answer: -2*k**3 - 168*k**2 + 2*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 250592*x + 213140.\nAnswer: 250592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 3*r**4 - 5*r - 185. Let c(a) = -4*a - 4 + 4*a**4 - 1189*a**2 - 145 - 37 + 1191*a**2. Let w(g) = 4*b(g) - 5*c(g). Differentiate w(i) wrt i.\nAnswer: -32*i**3 - 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3793735 is divided by 398.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41510.28 meters to millimeters.\nAnswer: 41510280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-8) - (-18)\/24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -100322 + 1212303?\nAnswer: 1111321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*b + 207, -4*c + 5*c - 207 = -3*b. Calculate the highest common factor of b and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6924 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 562144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 298.862 to the nearest integer.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 500*x**2 - 250*x**2 + 8*x - x**3 - 252*x**2 - 2 to s*x + w*x**2 + k + y*x**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1208822491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7585, -8319, -9037, -9733, -10401, -11035?\nAnswer: -11629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 43b53?\nAnswer: 43b4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 49834806 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 10:09 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 31, 0.17 in descending order.\nAnswer: 31, 9, 0.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) 95  (b) -1\/3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 3*x - 4 = 0. Suppose d + z = 2*d - 3152, 0 = x*d - 4*z - 6314. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*x**3*z**2 - 157958*x**3 - 72785*x**2*z**4 wrt z?\nAnswer: -4*x**3*z - 291140*x**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1950\/3640)\/(9\/7). Let b(h) be the second derivative of 0*h**2 + 5\/2*h**3 + 0 - 11*h + c*h**4. Let b(i) = 0. Calculate i.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -14. Let p(r) = -r**3 - 8*r**2 - 8*r + 5. What is the units digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + -2)**2 - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) + 1)) + sqrt(1539)).\nAnswer: -62*sqrt(19) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**3 + 7*f**3 - 2*f**3 - 4*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 6*z**2 + 12*z - 23. What is the remainder when s(5) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 35 = 3*m, 3*c + 4 = 3*m - 11. Suppose m*y - 5*y = 8. What is the derivative of -9*x**3 - y*x**3 - 91 + 95 wrt x?\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**2)**(8\/9)*l**(2\/13)\/(l\/(l\/(l\/(l**(2\/13)\/l)))))**(-48))**38 assuming l is positive.\nAnswer: l**(-6080\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + -3)**2 + 2 - sqrt(1053).\nAnswer: -63*sqrt(13) + 1064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5542087 divided by 31.\nAnswer: 178777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 28905 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 435685 and 1185?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657078684 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27712*s - 13476*s - 14260*s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-214)\/6)\/(349*343\/359121).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+-0.029\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 - 3*z**2 + 3*z. Let s be c(-3). Let a = s - -19. Let d(h) = -31*h - 1. Let u be d(-1). What is the greatest common factor of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5507, -5424, -5327, -5210, -5067?\n\"Answer: p**3 + p**2 + 73*p - 5582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 873 = 95*z - 362 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -15, -3\/5, -2, -3.8, -14.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13847 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -4*q + 1. Let b be s(-2). Let o be 1 + -1 + 2 - 0. Let z(i) = 24*i**2 - 4*i + 2. Let u be z(o). Calculate the highest common divisor of b and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.006 times 2291668?\nAnswer: 13750.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 4.2. Let m = -11 + 6. What is the nearest to 0.1 in m, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 4 + (-2 - 5) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62004 and 60?\nAnswer: 310020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 111 - 33 = 0. Suppose 3*x = -0*x + 4*g + 376, 2*x = 4*g + 256. What is the highest common factor of x and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3214*r - 1564*r - 1598*r - 2028 = 0 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -1 + 3 - (0 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 25*q**2 + q. Let d be n(-1). Suppose -w + 2*w - d = 0. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -5, -4, -1\/4, 1\/3943 in increasing order.\nAnswer: -5, -4, -1\/4, 1\/3943, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h**2 + 9*h**2 + 13*h**2 + 3 + 17 + 7*h**2 - 6*h**2.\nAnswer: 18*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2070100*i - 18630910. Calculate d(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 2*c + 6*c + 0*c)*(-49*c**2 + 38*c**2 + 27*c**2).\nAnswer: 144*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 - 42 = 5*y. Let a = y + 17. Let x(g) = 4*g**2 + g - 3. Let k(t) = 9*t**2 + 2*t - 5. Let h(n) = -3*k(n) + 5*x(n). Calculate h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -828, -1718, -2608?\nAnswer: -3498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 2350?\nAnswer: -4700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 19, u: 1}. Give prob of picking 2 h.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-j**3 - 4*j**4 + j**3)*(3 - 2 - 5)*(32 + 43 - 15) as s*j**3 + b*j + m + d*j**4 + v*j**2 and give d.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 590*k**3 + 589*k**3 - 1181*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 79, 79, 77, 73?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from xqxxxxqxxx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -98 + 277. Find the first derivative of -5 - 29*d**2 - j - 62*d + 63*d wrt d.\nAnswer: -58*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -6091.\nAnswer: -5\/6091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92 + -81. Suppose k = -2*v + 5. Let o(f) = 2*f**2 + 8*f + 11. Let q be o(v). Solve -5*u = q*b + 35, 0*b - 2*b + 4*u + 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40474\/(-6860))\/((-2)\/20)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30050697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*t = -25*t + 3. Suppose 5*x + 3*r - 742 = 0, 5*x - 152 = 4*x + t*r. List the prime factors of x.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2010021010 (base 3) to base 14.\nAnswer: -112db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 17 = a - 6, 3*a = 2*i - 12. Suppose -i*p + 84 = -2*o, 6*p - 81 = 3*p + 3*o. Let x = -25 + p. Solve -4*h - 12 = 3*n, 2*h - 20 = -h + x*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -s + 721, -2103 = -3*s + 2*x + x. Let q = -325 + s. Calculate the highest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77 is divided by 34\/(-119) - (-60)\/14 - -22.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2010 is divided by 572.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.05 + -11.8204. What is q rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20 in 2\/5, -87740, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 687 (base 16) to base 8.\nAnswer: 3207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 8*b**3 - 3*b**2 + 3*b - 3. What is the tens digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(2*l**2 - 6*l**5 - 2*l**2) + 3*l**5 + 3*l - l - 4*l + 7234*l**4 - 7234*l**4 - 84*l**5 + (-3*l - l**2 + 3*l)*(2 - l**3 - 2).\nAnswer: -74*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of 14*b**5\/5 + 2*b - 14. Differentiate y(i) wrt i.\nAnswer: 56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -26. Suppose 9*y - b = 4*y. Solve y*z = 6*z - 4*k, 4*z + 15 = -k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4*(sqrt(1573) + (sqrt(1573)*2 - sqrt(1573))) + 4*(1 + sqrt(1573)))**2.\nAnswer: -352*sqrt(13) + 25180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22311 and 262793832.\nAnswer: 788381496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.331 less than 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -652 + 738 - (-1 + 51).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1802 by -5.\nAnswer: 1802\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -49\/230 - -19\/46. Let x(h) be the first derivative of -2\/25*h**5 + 0*h + 0*h**3 - 1\/15*h**6 + v*h**4 - 6 + 0*h**2. Factor x(s).\nAnswer: -2*s**3*(s - 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 15 = -2*m + 3*m, 2*m = 4*b - 6. Let x(c) = c**2 + 2*c + 3. Let k(a) = -2*a - 1. Let y(v) = -2*k(v) - x(v). Give y(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 t, 1 o, and 1 s when four letters picked without replacement from fzfzfsttto?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -62, 3 in decreasing order.\nAnswer: 3, -2\/9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -83644 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204 a factor of 47551980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 4*j - 3*s - 0, 4*s + 10 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 104) + (-1959 - -1998).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of i**3\/6 + 79*i**2\/2 - 1241*i - 1. Let n(r) = -58*r. Give f(n(z)).\nAnswer: -58*z + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + 0.4. Let g = 5739.6 + -5740. What is the smallest value in g, 2\/5, 0.1, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 2*u + 116, 245 = h - 6*h + 4*u. Let s be -13 + 396\/30 - (971\/5 - -3). Let c = h - s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 2*l, 0 = -p - 5*l + 1470. Let u = 20484 - 20063. Let j = p + u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - p - 84 - 88 = 0, 68 = 2*y - 5*p. Suppose 5*g - 6*g = -y. Let d = g + -59. Is d greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -132 - 206?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(504)\/(sqrt(9)*1))\/(sqrt(200)*3 - sqrt(200)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 2. Suppose -6*g + 830 = -g + l*s, -4*g + 642 = -2*s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 29 - 33. Let k = -0.05 - -5.05. Put k, -3\/5, j in descending order.\nAnswer: k, -3\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16, 0.5, 0, 0.493?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 597 and 60.\nAnswer: 11940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 13*c + 4671. Let q(r) = -4*r - 1557. Give 3*l(j) + 10*q(j).\nAnswer: -j - 1557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 703947 and 22589?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that l**3\/3 + 3670*l**2\/3 + 3667*l\/3 - 2446 = 0.\nAnswer: -3669, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by (-598)\/(-18) + 186\/(-837)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(-s - 2*s + 2*s)*(4 - 1 - 1) + (0 - 4 + 2)*(s - 3*s + 4*s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 32, 3\/7, 2\/11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -205534 (base 8) to base 5.\nAnswer: -4142234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -101001 (base 2) to base 10\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -16*a + 58608. Suppose 223*c + a = 229*c. Is 73 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d. Let y(f) = 29672*f**2. Calculate j(y(r)).\nAnswer: 29672*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -121210032 (base 4) to base 15.\nAnswer: -21063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 2*p**2 - 2*p + 1. Let q be z(-2). Suppose 7 - 387 = -q*w. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/(-28) + (-314440290)\/35 + 8. Round m to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11860 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*r - 6 = v - 103*r, 791*v + 2 = 393*v + 413*v - r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -14161*z**4\/3 + 110432*z**3\/9 + 946*z**2 + 24*z + 4204. Find q, given that j(q) = 0.\nAnswer: -3\/119, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5045, 5046, 5047?\n\"Answer: x + 5044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 5*v**2 + 4527*v + 131288. Calculate p(-30).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand x + 3*x + 0*x + (-2 - 3 - 1)*(-2*x - 20*x - 5*x) - 33 + 7*x + 33.\nAnswer: 173*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*d + 6135 = -453*d - 190*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.9452007ms?\nAnswer: 945.2007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10150, 10166, 10200, 10258, 10346, 10470, 10636, 10850?\nAnswer: 11118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 0.06, -1\/3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1593310 by -796655.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**2 - 2*k + 3. Let z(p) = 2*p**2 + 5*p - 7. Let g(q) = -5*s(q) - 2*z(q). Suppose g(o) = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21 + -74. Let w = -12 - a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from acr. What is prob of sequence ac?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*q**2 - 1 - 2 - 10*q**4 + 11*q**4 in the form k*q**2 + o*q**3 + w*q**4 + b*q + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 + 13*z + 13. Let v be b(-15). Suppose -9 = 2*f - v. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4186749 divided by -21693.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 137 and 72473.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -51*q + 457, 2240*f - 1116*f = -q + 1123*f + 7 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 867706.9g in nanograms?\nAnswer: 867706900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19360287091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 - 13*k + 422. What is z(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j - 163*j**3 + j.\nAnswer: -163*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -9 - (27 + 1 + -10 - (5 - -5))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.7379586ml?\nAnswer: 0.0007379586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -17. What is the smallest common multiple of -7*(3\/21 - q) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*i - 29*i = 12. Let l be (i + 1)*-1 + -1. Solve -3*n - 6 = -2*w - w, -l = -w + 3*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -13*m + 8. Let r be t(2). Let u(f) = 3*f + 58. Let s be u(r). Solve s*z + y + 20 = 5*y, 5*y = -4*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47889+7807\nAnswer: -40082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55531*g - 110318*g + 54786*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -19 + 12d?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 v when four letters picked without replacement from {a: 1, l: 5, v: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7744*p - 3638*p + 3234*p)*(-2*p + 2*p - p).\nAnswer: -7340*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000214786915 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(85) + -2*sqrt(85))\/sqrt(5) - (2 + sqrt(68) + sqrt(17))).\nAnswer: 12 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 4*y - 18 = 0, 27*t - 2*y = 31*t - 14. Solve 3*j + 2*m = j - t, 5*m + 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4322345 - -168.\nAnswer: -4322177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/136)\/(576\/(-192))*1\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43392 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 448 * -4.\nAnswer: -1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 0.2, 0, 4, -1\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 240\/(-10)*2\/(-4). Let m be -2 - (-3)\/(b\/44). Is 11 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) -2\/21  (c) -1  (d) -2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 7*k**2 + 3*k - 8. Calculate r(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 212038033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and -19382.8.\nAnswer: -19382.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1295721\/128 - 10123. Find the common denominator of -70\/9 and a.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 1484, -1\/8, -4, 4, -310\/13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.28 - 0.12. Let v = m - -1. Let z = 0.5 + v. Put 2, z, -2 in increasing order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 6, -3*b - 442 = -6*b + x. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*z - 8*z + 10*z)*(0*z**3 + 2*z**3 + 4*z**3).\nAnswer: 66*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*j + 21*j + 117. Let o(g) = -g**2 + 13*g - 4. Calculate o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 2 + -1 - (-5 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25\/669 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -344871 + 344881.80094. Let b = -10.8 + j. Round b to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.26 + -84.26. Let h = 80 + u. Which is the nearest to 2?  (a) 3  (b) 12  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54\/209 + -20813\/2090. Calculate the common denominator of a and -87\/1300.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 515184 is divided by 269?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -4, 48, 3, 2, -51 in ascending order.\nAnswer: -51, -5, -4, 2, 3, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {c: 1, p: 2, f: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -12*y - 33 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-198)\/(-66)*6\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 1876\/468075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/8 + 35\/20. Let h = g + 1. Suppose n + 30 = h*n. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16 - -103. Suppose -5*r = -2*r - v. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.9153 + 0.0847. Which is the closest to 0?  (a) 0.5  (b) -0.2  (c) f  (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 4*m + 10, y + 8 - 12 = m. Let i(a) = -2*a**3 - 3*a**2 + 2*a + 1. Determine i(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 31 and -0.07.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 56567676?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, v: 6, z: 4}. What is prob of picking 1 z and 1 v?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 + 5*w + 6. Let f be g(5). Let i = 2 - f. Let q = -0.2 + 0. What is the nearest to 0.1 in 4, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - -20 - (-115 + 151)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37 and 53?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23966777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -20*l**3 - 2*l**2 - 8*l + 5. Let y be z(4). Round y to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -7*l + 1. Suppose b - 4*b - 3 = -3*a, -2*a + 3*b = -2. Suppose -3*w + a = f, -4*w - f = f - 4. Is p(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95320 divided by -11915\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1243 and 8178940?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. Suppose 0 = -0*g - 4*g. Solve -3*b + o*b + 4 = g for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 384215 - 201192. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 442202*i**3 - 7978849 wrt i.\nAnswer: 1326606*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 2 - 2*y**2 + 3*y**2 to the form t*y + b + j*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/1477?  (a) 0.0641  (b) 3  (c) -1\/3  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -d**7\/23940 + d**6\/3420 - d**5\/1140 + d**4\/6 - 4*d. Let y(i) be the third derivative of r(i). Factor y(m).\nAnswer: -2*(m - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32a8a (base 12) to base 2\nAnswer: 10000011010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -k**7\/1800 + 23*k**6\/3600 - k**5\/100 + 3*k**4\/8 - 7*k**2. Let u(c) be the second derivative of j(c). Factor u(x).\nAnswer: -(x - 3)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-88)\/(-2508)*(-45)\/(-10)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 429 and 8210631?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 4:40 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -27*h - 4 + 15*h + 14*h - 1. Suppose 2*q - 5*q = -27. Let i be n(q). Is 0 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*f = 22 + 33, d + f = -13. Let b be (d\/6)\/((-1)\/9). Let u(m) = m**3 - 11*m**2 - 12*m + 4. Is u(b) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104 and 133016?\nAnswer: 133016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407462 is divided by 429.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -2)*(1 + -3). Suppose -2*h = -o*c + 4, 3*c - 4 = 2*h + 2*h. Sort 5, -2, c.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1120\/(-32)*(-10)\/875\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 559411424 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/8, 0.5, 7\/3 in ascending order.\nAnswer: 3\/8, 0.5, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*w**2 + 7*w**2 - 66*w**2 + (-1 - 2*w + 1)*(1 - 13*w - 1) - 2*w**2 + 2 - 5 + 5 in the form u + p*w**2 + a*w and give p.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (-49 + 38 - (-9 + 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((3\/72)\/((-3)\/(-102)))\/((67 + -122)\/(-440)). Factor 1\/6*q**2 - i + 16\/3*q.\nAnswer: (q - 2)*(q + 34)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 51814, 8 in decreasing order.\nAnswer: 51814, 8, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (102\/24)\/(1\/4). Suppose -x*w + 13*w = 0. Suppose p - 3*d + 84 = 5*p, w = -4*d + 16. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -5. Let j be 4\/(-10)*(-4 + 9). Let i be 2\/j - 1 - c. Which is bigger: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus -0.00858?\nAnswer: -1.00858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -1.66.\nAnswer: 0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -4535463 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s - 2*s - 2 + 3*s)*(-2*s**4 + 3*s**3 - 3*s**3 + (18*s**3 + 6*s**3 - 8*s**3)*(-2*s + 4*s + 0*s)).\nAnswer: 120*s**5 - 60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4627546495 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1234\/7 - -177. Is j < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(-23*h + 23*h - 34*h)*(12*h**2 - h**2 - 4*h**2).\nAnswer: -476*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -12 - -14 - (-1 - -1). Let w be (k + -1 - -4) + -3. Let j(q) = -7*q**2 - q**2 + 5*q**2 + 0*q**w. Let b(c) = -c. Give j(b(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20718273 + -20718272.49999999. Let f = u + -0.5. Round f to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2765?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 14*n**2 - 23*n - 7. Let t(y) = 3*y**2 + 6*y - 8. Let x be t(2). Let l be j(x). Let d = l + 50. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0286991*89\nAnswer: -2.5542199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -13971 + 150f?\nAnswer: -12462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 123 and 2450767.\nAnswer: 301444341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/30 - 62\/(-5). Let y = -13 + w. Is y\/(-2) - (-3757)\/26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3\/5 + 932253*b**2\/5 - 72632546976*b\/5 + 32280743902464\/5.\nAnswer: -3*(b - 155152)**2*(b - 447)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 112473.939 rounded to the nearest 10?\nAnswer: 112470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 15, e: 4}?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1040519707?\nAnswer: 113, 269, 34231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3262.5 to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 915.4454 nanograms to kilograms.\nAnswer: 0.0000000009154454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -377*o + 12221 = 4743 - 10995 for o.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -2*i**3 - 39*i**2 - 20*i + 8. Calculate the remainder when t(-19) is divided by (-38)\/(-4) - 2\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12525*s**5 + 58401*s**2 - 2.\nAnswer: -751500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**2 + 57974*d + 57976 = 0.\nAnswer: -1, 28988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 6*t. Let m(w) = 4 - 6*w + t*w - 3. Suppose a + 2 - 1 = 0. Give m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 3*v**2 + 1. Suppose -7*t = -2*t. Let p be 3\/36*4*t. Let l be 2 + (-4)\/(p - 4). Determine y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m. Let h be n(0). Find the common denominator of 15\/2 and (-162)\/(-60) - (h + 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 5*j + 7, -4*j = 11*p - 6*p + 1. Let a be (-30)\/(-3)*p*1\/(-2). Solve -12 = -g - 3*u, -u - 16 = -5*g - a*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 4*y**2 - 10 + 0*y**2 + 16.\nAnswer: 4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of -23*x**5\/5 - x**4\/4 - 2*x**3\/3 - 34*x**2 + 2*x. Find the second derivative of l(t) wrt t.\nAnswer: -552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 73*z**3 - 4335*z**2 + 799*z - 1198 wrt z.\nAnswer: 438*z - 8670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1249762, 1249753, 1249744, 1249735, 1249726?\n\"Answer: -9*x + 1249771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 10. Suppose 10 = h*z, x + 2 = 4*z - 2*z. Let i be x\/(-3)*-8*3. Solve -4*o + 0 = -i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 17*a - 21. What is the remainder when l(-6) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6294101.\nAnswer: 11, 409, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 9:04 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 21 + 3 = 0. Let k = 2.19 + -1.89. Which is the nearest to 0?  (a) 3  (b) k  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2456 + 2455.8983. What is d rounded to three dps?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3775607 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:30 AM and 9:15 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 14) + 1 + 2 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6c509 - d?\nAnswer: -6c518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -12*r + 137. Calculate m(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/192 and 31\/640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y - 55 - 647. Let d = y + -52. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 7, s: 2, x: 1}. Give prob of picking 1 x and 2 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z*(z\/z**(-15\/11)*z)\/z)*z)\/(z**44*z))\/(z\/z**(9\/10)*z*z**(1\/7)) assuming z is positive.\nAnswer: z**(-35887\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 313965 - 313818 + b**2 - 2*b**2 + 0*b**2 - 46*b.\nAnswer: -(b - 3)*(b + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.071 + -0.211. Let t = h + -6.718. Which is smaller: 0.4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 5, a: 1, e: 14}. Give prob of picking 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 72*g + 215*g - 2009. Sort 0, g, -2, -10 in descending order.\nAnswer: g, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 46\/14 - (-13648)\/5118*9\/4\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*i - 79*i = 154. Solve -9*j - i + 2 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -78*y**3 + 2*y + 1. Let g be v(-1). Suppose 2*i + 4*q - 44 = -2*i, -4*q - 5 = -3*i. Calculate the highest common divisor of i and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-130*(-6)\/40)\/((-7)\/((-168)\/(-18))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 - 2569118833.6546\nAnswer: -2569118833.6346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8527 divided by -2.\nAnswer: 8527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -6, -15, -32, -57, -90, -131?\n\"Answer: -4*m**2 + 3*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 11440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (109*n - 5*n**2 - 109*n)*(-152*n + 77*n + 77*n - 77).\nAnswer: -10*n**3 + 385*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 - x + 15. Calculate k(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*c - c - 5*c)*(-3 + 2 - 1) + 3 - c - 3 - 12*c + 16*c + 10*c as d + u*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 AM and 6:28 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 62*m**2 + 478*m + 87. Calculate r(53).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 - 27. Let r = 65 + z. Let -2*w**4 - 6*w**2 - r*w**3 - 5*w**4 - 2*w**5 - 3*w**4 = 0. What is w?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 278*z**2 + 14*z - 105. What is the units digit of j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6445, -12903, -19373, -25861, -32373?\nAnswer: -38915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122343 + 59999 = -62*x. Which is smaller: x or -2942?\nAnswer: -2942","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 17*m**2 - m. Let x(b) = -22*b - 44. Calculate x(o(f)).\nAnswer: -374*f**2 + 22*f - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = c - 755. Suppose 617 = 3*m - c. Does 57 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.52 - 0.182.\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 104656069 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 26 + 215?\nAnswer: 23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 7*r**2 - 7*r - 2. Let c be x(-6). Let k be -1 - -2*(6 - 3). Suppose -3*a - k*w = -191 - 39, -c*a - 2*w = -316. Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (21\/14)\/((-2)\/(-4)). Let j = -1\/22 - -47\/66. Factor 0*h + 2\/3*h**2 + 4\/3*h**o + 0 + j*h**4.\nAnswer: 2*h**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 57*n**4 + 1 - 56*n**4 - n + n**3 + 4*n**2 + 0 as q + v*n**2 + t*n**4 + m*n**3 + x*n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 97725*p - 8208897. Give t(84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4*j**2 - 2*j + j**3 + 4 - 3*j**3 - 8. Does 10 divide l(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2056, 8023, 17996, 31975?\nAnswer: 49960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 22 + -11 + 1 - (10 - (-4 - 103))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**3 - 18*h**2 + 2*h + 27. What is q(-18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 300934 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18679872 by -1003.\nAnswer: -18624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -88, -3, -5 in decreasing order.\nAnswer: -1, -2, -3, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 106*t**6 - 94*t**2?\nAnswer: 12720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8*(-8)\/10)\/(1\/10). Calculate the greatest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v**2 + 300*v + 296 = 0.\nAnswer: -74, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -286 - 17c40c?\nAnswer: -17c695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.26  (b) 0.4  (c) -8\/7  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42313074*v**6 + 254*v**2 - 16207*v wrt v?\nAnswer: -5077568880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n + 12*n + 10 = 0. Suppose w = u + 14, -4*w + 9 - 25 = 4*u. Sort n, -5, u in ascending order.\nAnswer: u, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 13165, 13164, 13165, 13168, 13173, 13180, 13189?\n\"Answer: x**2 - 4*x + 13168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 18*s - 6975. What is the greatest common factor of 100 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mrsmszth. Give prob of picking 1 z, 1 h, and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 = -1357*s + 1353*s - 18*j, 2*s - 5 = -j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 108.8826536 + -108.86. Round l to four dps.\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -1. Let l be 2*1*165\/10. Suppose 0 = -3*b + 39 - l. Calculate the remainder when b is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 5688*s + 10645. Is c(143) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 401 divided by -5202.\nAnswer: -401\/5202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1375\/6 - -230. Which is greater: o or 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*v - 26*v + 13 - 61 + 90*v - 18*v.\nAnswer: 2*v - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11621 + -3?\nAnswer: 11617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4266*b + 4271*b - 4*o - 2*o + 27 = 0, -18 = 8*b + 3*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 753 - 327 + 2*j + 182 + 568.\nAnswer: 2*j + 1176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 - 52. Let q = 54 + o. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 7:19 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-8\/7)\/(f*f**(-6\/7)))\/((f**(-6)\/f)\/f**(-5)))**(10\/7) assuming f is positive.\nAnswer: f**(50\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**2. Let l(d) be the third derivative of -d**4\/24 - 15*d**2. Let q(v) = 2*v**2 - 6*v. Let p(m) = -12*l(m) + 2*q(m). Calculate k(p(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 245 = p. Does 19 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/20 - 3) + 21\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 77323.41ml?\nAnswer: 77.32341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -85144*m + 2213747. Give z(26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282*z + 15092 = 472*z + 48268 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3671 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 10*h**3 + 2*h**2 - 2*h + 1. Let u be (11\/55)\/((-2)\/(-10)). Calculate b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47108897 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 5*x - 28. Let a be v(-7). Let u = 67 + a. Solve 3*m = -5*f, 2*f - u*f - 4*m + 14 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*y - 27 + 45 - 12)*(0*y - 3*y + 2*y + (3*y - 4*y - y)*(2 - 1 + 1) + y + 0 + 0).\nAnswer: -44*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, d: 8, t: 5}. Give prob of sequence bdb.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -180070, -180063, -180044, -180007, -179946?\n\"Answer: g**3 - 180071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -452, -890, -1328, -1766, -2204, -2642?\nAnswer: -3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -294 <= -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 12131.384 to the nearest integer.\nAnswer: 12131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/4?  (a) -0.04  (b) 8  (c) 4  (d) -1\/5  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of -152*u**2 + 0*u**5 - 3*u**3 + 1\/200*u**6 + 0*u + 0 - 19\/40*u**4. Factor z(i).\nAnswer: 3*(i - 5)*(i + 2)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2. Let h(u) = -u + 57. Let d be h(z). Suppose 3*g - 7*g = 2*i - 44, 0 = -5*g - 2*i + d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/12*(-3)\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786001340 to the power of 1\/3, to the nearest integer?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*x**3 + 2 - x + 38*x**4 - 19*x**2 + 21*x**3 - 34*x**3 - 3 + 23*x**2 as t*x + z + q*x**4 + a*x**3 + v*x**2 and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/3 + 3979*o\/3 - 22644.\nAnswer: (o - 17)*(o + 3996)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 12:35 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 40*l - 12*l + 141*l**4 - 140*l**4 + (-9*l + 359 - 359)*(-3*l**2 - 3*l**2 + 4*l**2)*(-l + 4*l - 5*l).\nAnswer: -35*l**4 + 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 + -21. Suppose v*u = 3*b - 43, -2 = 5*b + 4*u - 12. Let x(w) = 2*w - 6. Let n be x(5). Solve b*z - n*z - 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*y = 386*y + 12995 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -9*g**2 - 3909*g - 19314. Give x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3959 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 9:43 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 88321 (base 15) in base 12?\nAnswer: 18a4aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001890338 rounded to 5 decimal places?\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -86*a*i**3*z - 5*a*i**3 + 3*a*z + 2*i**3 - 2*i**2 + 39*z wrt i.\nAnswer: -516*a*z - 30*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 857 - 2 - (-6)\/(-15)*-10. Let p = -5149\/6 + z. Which is the closest to 1\/16?  (a) p  (b) 3  (c) 2  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 5*y**3 - 5*y**2 - y - 4. Let j = -26248 - -26237. Let k(q) = -9*q**3 + 9*q**2 + q + 7. Give j*d(l) - 6*k(l).\nAnswer: -l**3 + l**2 + 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 31, 16\/45, 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -0*u + 4*v - 10, -2*u - 4*v - 2 = 0. Which is the second biggest value?  (a) -1  (b) u  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 692, 763, 862, 1001, 1192, 1447?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, t: 2, f: 1, e: 1, p: 2}. What is prob of sequence tkte?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -162, -290, -418, -546?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u - 68 = -21*u. Suppose 40*j - u*j - 3082 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -288 or -265004?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121 - 210102?\nAnswer: -202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6273*g**3 + 12243*g**3 - 6157*g**3.\nAnswer: -187*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -545 + -568.\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 27*h**2 - 206*h - 788. Calculate n(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jg when two letters picked without replacement from {g: 2, j: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i + 2*g - 16, -4*i + 0*i + 24 = 2*g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1997379390 - -4.9?\nAnswer: -1997379385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 568 and 12119416.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 - 37. Factor 9*j**5 - 2*j**4 - 4*j - o*j**5 + 2*j**2 + 3*j**3 + 2*j**2.\nAnswer: -j*(j - 1)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 138 = -12. Suppose 4*m - s = -m. Suppose -5*n + 170 = 5*u, -5*u = -10*u + 2*n + 142. Calculate the greatest common factor of u and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -s**3\/3 + 69*s + 1. Calculate the remainder when z(0) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/8*(1 - 1). Suppose -s + 1 + 1 = w. Let y be -1 + s + (1 - -13). Solve 0*m + 3*m - y = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a meter in millimeters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 24 = -120. Suppose -h = h - d. Suppose -4*y + 12 = -36. What is the highest common divisor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k - 4*n - 36, 5*k + 1 = 2*k - 4*n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 10:01 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 20.7, 1, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3759, 3756, 3753, 3750, 3747, 3744?\n\"Answer: -3*z + 3762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + 8. Suppose 0 = c*b - 3*u + 12, 0*b - 4*u + 16 = -3*b. Solve 0 = 2*v - m - b*m + 2, 4*v + 2 = m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, -0.5, -10, -3.8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 4*z - 7. Let r be n(5). Let f = -12 + r. Let s = 0.08 + 0.32. Which is the second smallest value?  (a) s  (b) 0  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 - -11301200303?\nAnswer: 11301200320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -255*n**4 + 231.\nAnswer: -1020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 4*w, 1 + 1 = 3*d + 5*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - 2*d + 4*d)*(2 - 1 + 0)*(-1925 - 1607 - 191).\nAnswer: -3723*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of 0*c**3 + 0*c + 12*c**2 + 17\/30*c**5 + 0*c**4 + 0. Let p(j) = 4*j + 2*j**2 + 5*j - 9*j. Give p(r(f)).\nAnswer: 2312*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000017308 to 7 decimal places.\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 11*y - 7*y - 197548, 2*y + 5*f = 98784. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/10*-1*13\/39?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*n**2 - 180*n - 504 = 0. Calculate n.\nAnswer: -42, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -43 + 42. Let p(t) = 315*t + 1. Let i be p(n). Let k be -3 + i*4\/(-8). Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.03931 - 0.03931. Which is the closest to -1\/4?  (a) 0.15  (b) 1\/4  (c) 7  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -8*b + 891. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11216\/49 - 229. Let b = z - 725\/98. What is the common denominator of -31\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 1712, 5, -3, 3 in descending order.\nAnswer: 1712, 5, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -184, -364, -546, -730, -916, -1104, -1294?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(-10))\/3*80\/(-20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 + (-12)\/(-8))*-2. Find the common denominator of 61\/22 and -4 - ((-1780)\/144)\/n.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2)*(11 - (-8 - -17)). Let z be (9\/172)\/(12\/(-32)). Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)\/t*t**(-4))**(-34)\/(t*t*t**4*t*t*t\/(t\/(t*t**3)*t)*t*t*(t\/(t\/(t**(3\/4)*t)*t*t))\/(t*(t\/((t*t**(1\/2))\/t*t))\/t)) assuming t is positive.\nAnswer: t**(1307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, 4111 in descending order.\nAnswer: 4111, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 + 3*j - 20. Let d be q(12). Let c = -135 + d. What is the smallest common multiple of 35 and c?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -669, -976, -921, -504?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzccc. What is prob of picking 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4675 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 171 (base 8) to base 3\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -211697 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -1 + -7 - (-16 - -31)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/8*3*4. Let l = 908 - 904. Sort -2, v, l in descending order.\nAnswer: l, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 56 and (-6)\/18*-15 - -2*2615\/10.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 2)*(5 - 4). Let o be -4*(y + 8) - 1. Round o to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98)*6)**2 - (sqrt(32) + -3).\nAnswer: -4*sqrt(2) + 3531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 601\/335256 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -197 + 209. What is the highest common divisor of 786 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 270*g**2 - 20*g**3 - 13*g**3 + 65*g**3 - 3 - 29*g**3 in the form c*g + f + u*g**3 + n*g**2 and give n.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/135 - 6\/27 - (-8614)\/1770?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000991824706 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 16079509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a77a (base 16) in base 6?\nAnswer: 5044414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 2*v + 1590, 5*f = -19*v + 23*v + 3974. List the prime factors of f.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1036007*f*m - 514852*f wrt m.\nAnswer: 1036007*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131212676?\nAnswer: 2, 7, 97, 48311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2711828.\nAnswer: 2, 7, 96851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (82\/10)\/((-11)\/(-55)). Suppose 4*h - c - v = 0, 3*c = -2*h + 4 - 1. Suppose -4*l + 936 = -h*z + 4*z, -5*l + 5*z = -1175. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-139)\/(-70) + (-1)\/2. Let q = -2\/7 + k. Is 2 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4350, 4351, 4352, 4353, 4354, 4355?\nAnswer: 4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -30920777, -30920750, -30920723, -30920696, -30920669?\n\"Answer: 27*m - 30920804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/108 and 151\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -9*m + 256. Let g be t(28). Suppose -4*l + 28 - 12 = 0. Solve -4*o = -g*x + 8, 0 = l*x - 2*x + 5*o + 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(275) + 2 + 2 + 3 + 1 + (sqrt(275) - (-3*(sqrt(275) + 1) + sqrt(275)))**2).\nAnswer: 190*sqrt(11) + 4984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 3*x - 15, 4*t - 2*t = x - 15. Solve -4*s + 7 = -x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67819 = 197*b + 65652 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - i + 43 = 0, -i - 11 = -12. What is the tens digit of ((-44)\/(-154) - 4098\/z)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(2 + 2 + -3). Suppose -p + 5*t - 3*t + 42 = 0, w = 4*p - 4*t - 176. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -506*(-27)\/297 + -52?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -527787230 divided by -52778723\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/2 + 19*j**2 - 82*j + 84.\nAnswer: (j - 2)**2*(j + 42)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 6*d + 68 = k + 44, 52*d = -k - 208 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*8\/16*4\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 515 + 1942 = 0. Let m = -958 + f. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.15 and 0.4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*sqrt(13))**2 + -1 + (sqrt(13) - sqrt(130)\/((sqrt(10) - sqrt(40)\/sqrt(4)) + sqrt(10)) - ((sqrt(13) + 0 + sqrt(13) - sqrt(13))*4 - sqrt(13))).\nAnswer: -3*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 3 + 5 - (1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 5*j**2 + 3*j. Let t(s) = -s**3 - 6*s**2 + 9*s + 9. Let a be t(-7). What is m(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55144.4 rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.5843214ml?\nAnswer: 0.0005843214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 93. Calculate the remainder when t is divided by (1 + 14)*207\/115.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 74 - 72. Suppose -8*y = -j*y - 24. Suppose -y*q = -3*q - 5*q. Solve q*s = -s + 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -40, -99, -158, -217, -276, -335?\n\"Answer: -59*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -930.065392 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/9  (b) -1249033  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 136 divided by 4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1236488 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 86*q**2 - 1. Let p(j) = -303*j**2 + 3. Let x(b) = -18*m(b) - 5*p(b). Let n(z) = z. Determine n(x(s)).\nAnswer: -33*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 541 a factor of 3128368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -6, -2, -1\/4, 32\/9, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -392*h - 4*n - 93274 = -391*h, -h - 2*n = 93262. Round h to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 9  (b) -1  (c) 628  (d) -9  (e) -0.4  (f) 5  (g) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 773 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 137.0971 litres?\nAnswer: 137097.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3473.857ml?\nAnswer: 3.473857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/3 of a day in minutes?\nAnswer: 26400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/33 and 149\/6438.\nAnswer: 70818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 726492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -456449?\nAnswer: -456449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(-2\/19)*j))**35\/(j**24*(j\/((j*j*j**(-1\/2)\/j)\/j))\/j))**18 assuming j is positive.\nAnswer: j**(-7119\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 66\/13, 0.05, -5, 13, 57 in decreasing order.\nAnswer: 57, 13, 66\/13, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -11. Let q(w) = -w + 4. Let o = 13 + -8. Let l be q(o). Put i, 3, l in ascending order.\nAnswer: l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 11:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 7*d + 9. Let q be m(-6). Let l = q - 1. Suppose 3*w = l*w + 7. Solve 2*k - y = -2*y + 1, -y = 4*k - w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*k - 12*k**2 - 3*k - 33*k**2.\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 509*h + 6 = -5*r + 511*h, 0 = 3*r + 3*h - 30. Let 1\/7*o**r + 2\/7*o + 0 = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417.37578 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 177.14513 - 8974\nAnswer: -8796.85487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112311, 112345, 112379, 112413?\nAnswer: 112447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {q: 6, z: 13}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 - 16*s - 40. Calculate f(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 - -4154427472170.\nAnswer: 4154427472169.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1682, 4604 in ascending order.\nAnswer: 0, 1682, 4604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3695, 3334, 2497, 992, -1373, -4790, -9451, -15548?\n\"Answer: -32*a**3 - 46*a**2 + a + 3772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10797029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 2\/179, 0, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1031201 (base 6) to base 13.\nAnswer: -1a1a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from woooowoogoogq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*k + 16 = -45*k + 2*s, -4*k - 4*s = -16. Let z(f) = 18*f**3 + 4*f**2 - 4*f - 4. Let x(c) = 55*c**3 + 11*c**2 - 11*c - 11. Give k*x(p) - 11*z(p).\nAnswer: 22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.002 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -m**3\/4 + 561395*m**2\/4 - 19697701452*m - 19697841801 = 0.\nAnswer: -1, 280698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.06 and -1.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0677 + 0.0277. Round w to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 14*y**3\/3 + 415. Let p(l) be the second derivative of -l**4\/3 - l. What is z(p(v))?\nAnswer: 224*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 21 = 5. Let g be -2*(-18 - -5) - -6. List the prime factors of (-2)\/((w\/g)\/((-21)\/12)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 7 = -4. Does 12 divide (c\/(-2))\/((-1)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 + 6761281\nAnswer: 6761367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 + 20274*j**2 + 10924965*j + 1417805100.\nAnswer: -3*(j - 7268)*(j + 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 297 a factor of 120471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/12561, 4, -51?\nAnswer: -4\/12561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**2\/((m*m**(-11))\/m))**(-10\/13))**25 assuming m is positive.\nAnswer: m**(-250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 1 = f. Let q be (f - -2)*(-1 + 3). Suppose q*r - 2*w - 32 = r, -2*r + 2*w = -56. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 6*m**3 - 8*m**2 + 5*m + 6. Is l(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -69 + 70 - (-4 + 1 + -52 + (13 - 12)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 - -7. Calculate the remainder when (-35)\/d - 6\/(-12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31*v + 13*v**2 - 31*v + v**2 + 11*v**2 - v**2 + (0*v - v + 3*v)*(-1 + 1 + 2*v) + 4*v - 4*v + v**2.\nAnswer: 29*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1358*j - 1358*j + 4080*j + j**2 - 1364*j.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.06 - 0.14. Let r = 0.213 + p. Round r to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4 + 20*j + 5 - 16*j**2 + 5 - 18 = 0. What is j?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 times -40662.9\nAnswer: -6506.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -30 + 19*u**2 - 22 + 80 - 30 + 4*u - u. What is n(2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b8 + 0?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -11165 divided by 145?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.09?  (a) -486  (b) 4  (c) 0  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 281 - 287. Round h to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -15. Let j be 5 + y - 1*-5. Solve j*h = 8 - 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11.02 - 11. Let c = 2522 + -2525. What is the smallest value in -2, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 92775.\nAnswer: -7\/92775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**4 + 2*f**3 - f**2 - f. Let d(u) = 20*u**4 - 8*u**3 + 3*u**2 + 40*u - 1. Let k(p) = -3*b(p) - d(p). Find the second derivative of k(v) wrt v.\nAnswer: -276*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 20.84 and -1.3.\nAnswer: 19.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 992929664 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2\/11, -142, -5 in ascending order.\nAnswer: -142, -5, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1533+0.03\nAnswer: 1533.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 7*q**4\/12 - 4*q + 184. Let v(n) = -150*n**2. Determine o(v(i)).\nAnswer: 157500*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*516\/(-6))\/(4\/(-2))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (22 - 7) + -6 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of z**4\/4 + 27*z**3\/2 - 42*z**2 + 173*z. Factor p(a).\nAnswer: 3*(a - 1)*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2405 and 41990.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 31*y**2 - 8*y + 241. Give z(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -44, -117, -220?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -275*u**2 + 121*u + 1.\nAnswer: -550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**3 - 9444865 - 5*i**2 + 2*i + 9444865 + 693*i**4 to the form l*i**4 + s + u*i + w*i**2 + t*i**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -230?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 950146 by 475073.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12388411613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.04 + -0.26. Let i = 101\/14 + -15\/2. Put 2, b, i in ascending order.\nAnswer: b, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 6387 = 6385, -3*n = -4*o + 5 - 40 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -72 + 96. Suppose 0 = 7*c - 2*c - 45. What is the remainder when y is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102220000203002 + -11?\nAnswer: 102220000202331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33352 + -16922. List the prime factors of w.\nAnswer: 2, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of -1\/42*s**7 + 0*s**5 + 0*s**3 + 0*s**2 - 1\/3*s**4 + 0 - 3*s + 0*s**6. What is the third derivative of x(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g - 11. Let o be (-2)\/5 + 235\/25 - -2. Give w(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of i**5\/210 - 4*i**4\/21 + 64*i**3\/21 - 19*i**2. Let x(s) = 0. Calculate s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-10))\/((38\/(-22))\/(1530\/765))\nAnswer: -11\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 371?  (a) 71.2  (b) 1\/3  (c) -3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*q + 0*q - 2*q)*(7170*q - 13575*q + 6836*q)*(-2*q + 2*q + q) in the form m*q**3 + k*q + p*q**2 + o and give m.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*x - 74 = 4*a, 6*x - 15 = -2*a + 77 - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 14. Suppose o*b = -d + 9, -3*d + 4 = -3*b + 13. Suppose 3*j = -x + 31 + 25, b*x + j = 144. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 153764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8 - ((-665)\/(-25) - 15\/25). Let t(v) = 8*v + 133. Calculate t(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 44 = 4. Suppose -28*w + 32 = -i*w. What is the remainder when 30 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3382 - 76*k + 3382)*(-3*k + 3*k + k**3).\nAnswer: -76*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 256 or 255?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10224 = 88*w - 2096. Let t(x) = -20*x. Let b(r) = 940*r. Calculate w*t(h) + 3*b(h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51782*a**2 - a - 20488?\nAnswer: 103564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 156628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 652 + -199. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2151*l + 2150*l - 12*r + r - 313, 5*l + 5*r + 165 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, y: 4, a: 5, s: 5, j: 3, n: 1}. What is prob of sequence jjya?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 172975?\nAnswer: 5, 11, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 13) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 3*h - 4. Calculate the remainder when 54 is divided by n(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2651876 to the power of 1\/2, to the nearest integer?\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1063855\/54 + -19699. What is the common denominator of 79\/376 and u?\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 35. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*t - 4*a - 22, -28 = -5*t + 3*a. Let w be (-2 - 44\/t)\/(3\/(-110)). Let h = -219 + w. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 101*m**2 - 101*m - 265. What is o(102)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35578339 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 8*h - 2*h + h**3 + 11*h**2 - 5*h**2 + 1. Calculate o(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152, 143, 120, 77, 8?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 + -0.1. Let w be (-9429)\/(-315) - (-3)\/(-5). Let m = -29 + w. What is the smallest value in 3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/36*(-6)\/(-1))\/(40\/680)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -30*h + 362. Let y be v(12). Put y, -1, 0.36, -4 in descending order.\nAnswer: y, 0.36, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 11, z: 1, i: 1}. Give prob of sequence ez.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 a, 1 n, and 1 l when four letters picked without replacement from lvxanxe.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.97 + 5. Let t = u + -0.09. Let r = t + 0.05878. Round r to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 133 (base 4) to base 2\nAnswer: 11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(34)\/sqrt(2))**2*-4 + -4 + -1 - -3*3*sqrt(153)*1).\nAnswer: -70 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from weswqqrbr. Give prob of picking 1 b, 1 r, and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -3*k + 47, 5*s - k - 53 = 2*k. Let n be s - ((-3)\/3 - 1). Solve 2*f - 4*p - n = 0, -2*p = 3*f + 1 - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + (-176)\/(-12) - -2. Let d = 85\/6 - u. Is -32 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of u**4\/12 - u**3\/6 - 4*u. Let h be w(-2). Let z be (h\/(-14))\/(10\/(-7)). Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -1 + 0 + o**2 + 2*o + o. Let t(i) = -4*i + 2. Let c(x) = x - 1. Let b(v) = -2*c(v) - t(v). Calculate -3*b(p) + 2*j(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k - 6. Let r(d) = 3*d - 13. Determine 13*n(j) - 6*r(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1456504434 and 622.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 p when four letters picked without replacement from njppqgpjjmm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ghos when four letters picked without replacement from {h: 1, i: 1, o: 5, s: 6, g: 1}?\nAnswer: 5\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a*m + 1475*a + 7*m**4 - 11*m**3 with respect to m.\nAnswer: -2*a + 28*m**3 - 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/3)*c**(1\/10)*c*c)\/(c**(-1\/3))**(3\/4) assuming c is positive.\nAnswer: c**(101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - ((-35)\/3)\/(-5). Let z be ((-2)\/12)\/(4\/32). Which is the nearest to q?  (a) 2\/3  (b) z  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19774.6908210531 - -0.4?\nAnswer: -19774.2908210531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 + -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29 - 12*g + 29 + g + 1 - 1 + g + 0*g - 3*g - 3*g + 5*g + 0*g + (2 - 5 + 2)*(-g + 3*g - 3*g).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z + 3. Suppose -f + 1 = -4*q - 0, -2*f - 3*q = -13. Give n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 (base 6) in base 4?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80 and 61.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 106 - -87. Let a = g - 133. What is the highest common factor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - u + 7 + 12, 22 = 4*n - 2*u. Suppose -n*q = -2*q - 243. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 4*r**2 - 10*r - 6*r - 4 - 5*r + r**3 + 14*r. Let x be 1 + (-2 - -1) - (4 + 1). What is n(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 2*r - 2078, 13*r = t + 8*r - 411. Let d = t - -77. List the prime factors of d.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 2357\nAnswer: -2356.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r**4 + 28915*r**2 - 316810 with respect to r.\nAnswer: -8*r**3 + 57830*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 416.441 times -0.01\nAnswer: -4.16441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 18, 28, 54, 102, 178, 288, 438?\n\"Answer: d**3 + 2*d**2 - 3*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (-9 + 7 + -2*3). Let m(y) = 39*y**2 + 26*y - 151. Is m(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t - 3. Suppose 5*d = 3*h + 19, 5*d = -4*h + 5*h + 13. Suppose -5*w + d*l + l - 75 = 0, 0 = w - 5*l + 37. Let p be w\/3 - -1 - -6. Give a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -3*a**3\/5 + 35824*a**2 + 2388787*a\/5 + 155272 = 0.\nAnswer: -13, -1\/3, 59720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 444307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -343 and -1.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = u - 39 - 69, 2*f - 4*u = 210. Is 106 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2052133 times -1.29?\nAnswer: -2647251.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 10, 5, -12, -47?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 22 + 1 = 5*b, 4*a - 21 = 3*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 136 - -7?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -27, -51, -77, -99, -111?\n\"Answer: j**3 - 7*j**2 - 10*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - z = 30. Let c(a) = a**3 + 7*a**2 + 6*a + 1. Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -192.701606 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.34481 - 0.368559. What is u rounded to four dps?\nAnswer: -0.0237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 18*p - 207. Let f be w(12). Let j be ((-450)\/48 + f)*-8. Factor 0*u**2 + 2\/5*u**5 + 0*u + 0 + 2\/5*u**4 + 0*u**j.\nAnswer: 2*u**4*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**0)**(1\/24)\/((x**0\/x)\/x**(11\/2)))**(-1\/12))**(-47) assuming x is positive.\nAnswer: x**(611\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 511998 by 26.\nAnswer: 255999\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 590 divided by 2237\nAnswer: 590\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 78 + -49. Let k = y - 469. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 8 = 2*g, 6*g + 606*q - 601*q - 41 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 173 + -173.168. Let m = b - -0.1680039. What is m rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(90)\/sqrt(3))\/(sqrt(24)\/sqrt(4)*3) + 3.\nAnswer: -sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/1109301 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54 + 53. Let y be (-6)\/((3\/2)\/k). Suppose u = y*z, z = -10*u + 5*u. Are z and -1\/28 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6000 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 163\/132 and 91\/6*(-70)\/(-588).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 3\/7, 1\/3, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m. Let s(a) be the first derivative of 4*a**3 - 14. Give s(n(z)).\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 60789*a + 1579812. Give y(-26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -236*x**3 + 108*x**3 - 94*x**3 - 153*x**3.\nAnswer: -375*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01289675 rounded to four decimal places?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -79*x**4\/12 - x**3\/2 + 506*x**2 - 2*x + 73. What is the first derivative of j(s) wrt s?\nAnswer: -158*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -6*q + 2*q. Suppose 0 = -p + 2*p + 5*r + 25, q*p - 2*r - 10 = 0. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 65 = 2*z. Let a = z + -9. Suppose -m + 4*b = -26, -50 = -2*m - 3*m + 4*b. Solve a*o - 4 = m*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*z. Suppose 0*q + q - 53 = z. Let m = 12 + q. Is 22 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.03 + -7.03. Let l = -7.15 - r. Let k = 0.1503 + l. Round k to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -1. Find the second derivative of -u*i**2 + 4*i - 9*i**3 + 2*i**2 - 4*i**3 wrt i.\nAnswer: -78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*g - 4*g - 9, 5*w + 3*g + 7 = 0. Let m be 5 + (-12)\/3 + w. Suppose h = m*h. Which is the closest to -2\/7?  (a) -2  (b) 2\/5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**2 - 1123*y + 33408 = 0 for y.\nAnswer: -1152, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -3, -1, -9 in ascending order.\nAnswer: -9, -5, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {u: 2, x: 5, y: 2, e: 3, r: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3779 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 555*k**3 - 2 - 777*k**3 + 606*k**3.\nAnswer: 384*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(-1 + sqrt(637)))**2 - (sqrt(1872) + (-1*sqrt(1872) + 4 - sqrt(1872)) + sqrt(1872))**2)*-5 + -1.\nAnswer: -3111 + 70*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10120201 (base 3) to base 6\nAnswer: -20031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = -50, 8*o - 76 + 200 = -10*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 96 = 4*i + 6*q, -4*q + 72 = 3*i. Let v = i - -24. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-75)\/80*-2)\/((-72)\/224))\/(-5)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8203 times -2?\nAnswer: -16406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 13. Let j be 21\/w - (-2)\/(-8). Let b be 2\/(1 - j\/(-4)). Solve 3*a = -b*i + 12, -3*a + 4*i - 4 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -b**4\/4 - 28*b**3 + 979*b**2\/4 + 16451*b\/2 + 27258 = 0?\nAnswer: -118, -11, -4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 100, -1, -9 in decreasing order.\nAnswer: 100, 4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 1 + (2 - 4) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 173*h**3 + 8*h**2 - 5*h + 2. Let k(b) = 174*b**3 + 9*b**2 - 5*b + 2. Let l(m) = 6*c(m) - 5*k(m). What is the units digit of l(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -91 - -94.9. Let b = k - -1.1. What is the second biggest value in 1, b, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36a (base 14) to base 10.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.146 - 0.07463\nAnswer: -0.22063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-10)\/6 - -3)*48. Suppose a = -3*a - s. Is 2 a factor of 4\/a - (-9)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = 2*o + 2, 22*o - 19*o - 31 = 4*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 199\/317 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253*k - 17*k - 78*k + 7426 = 0 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -21951 and -21949 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398471 is divided by 132640.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -21*r - 28. Let y(p) = -p - 1. Let j(m) = i(m) - 28*y(m). Let g(a) = -1. Let q(o) = -o + 6. Let f(z) = 6*g(z) + q(z). Calculate j(f(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9168423 to the nearest integer?\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 5.23052mg?\nAnswer: 0.00523052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -120332103 (base 4) to base 14\nAnswer: -293c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**3 + 6*o**2 + 6*o + 9. Suppose -3*z + z - 1 = 3*c, -5*z + 10 = 5*c. Let l be p(z). Solve -g + u + 25 = -3*u, -35 = -5*g + l*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*u + 23784 = 158*u + 5110 - 13026 for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3024 = -53317*d + 53209*d for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 at least -9\/34949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - 364\/(-40))\/((-2)\/(-28)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the third derivative of -43*z**5\/60 + 5*z**4\/6 - 7204*z**3\/3 + 3516*z**2. Differentiate g(t) wrt t.\nAnswer: -86*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*l + 5*l. Let m be 3\/(-9) - (-4)\/l. What is the second smallest value in 0.2, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 21*r**2 + 25*r + 16. What are the prime factors of x(17)?\nAnswer: 2, 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 192*c + 7*c**4 - 11*c + 14*c**4 + 8*c**4 + 181. What is the first derivative of h(t) wrt t?\nAnswer: 348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7442126 to the power of 1\/2, to the nearest integer?\nAnswer: 2728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -115 (base 6) in base 12?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 12 = -s. Suppose -2*i + 54 = 3*k - 35, 0 = -4*k + 5*i + 111. Sort s, k, -3, 1 in descending order.\nAnswer: k, 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*b**3 - 5*b**3 + 0*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/763  (b) 5  (c) 0.03  (d) 0  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1064461\/56 + 19009. Find the common denominator of (0 - 36\/66)*(-42)\/8 and u.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711906677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -18. Let l be (-250)\/(0 - (-1 + k - 3)). Suppose 3*o - 220 = 5*g, 0 = 4*o + g - 51 - l. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1248, -2, 1\/2 in ascending order.\nAnswer: -1248, -2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*o**5 - 71460*o**4 - 145120*o**3 - 71220*o**2 + 7640*o + 5088 = 0. Calculate o.\nAnswer: -636, -1, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -897, -1786, -2675, -3564?\nAnswer: -4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f - 2. Let a be o(6). Let z = 12 - a. Determine s, given that 2\/5*s**5 + 2\/5*s - 8\/5*s**4 + 0 - 8\/5*s**z + 12\/5*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -37*s - 111. What are the prime factors of o(-8)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1  (b) 3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**3 - 9*u**2 + 26*u - 10. Calculate b(-9).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1698313?\nAnswer: 1698313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 + 95. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z**2 - 12*z + 6. Let h be c(7). Solve -3*w - 2*w = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**2 + 3*k + 2 + k + 1 + 1. Let n be a(-2). Suppose n = 3*b + 5*i - 188, -171 = -5*b - 3*i + 153. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1403 or -1401?\nAnswer: -1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 9*z**2 - 5*z - 17. Let s(d) = -7*d**2 + 7*d. Let w(p) = 20*p**2 - 20*p. Let q(y) = -17*s(y) - 6*w(y). Let v(g) = k(g) + 5*q(g). Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.5, 38.7, 5\/4 in ascending order.\nAnswer: 0.5, 1, 5\/4, 38.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 6. Let c = i - 16. Let x = c + 36. Solve -5*v - 5 + x = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 o when three letters picked without replacement from fojsruu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 11*s - 7. Let c be h(2). Solve c = -4*x + x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -107 - -109. Suppose -b*w = 5*a + 7, -w + 2*a - 10 = -5*w. Solve 5*l - l = -4*z - 8, 5*l = -w*z - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4132 and 7604946?\nAnswer: 15209892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 105 = -0*j - j, -5*l = -j - 120. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6529 divided by -18?\nAnswer: -6529\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5\/2*t**2 + 40*t - 160 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 37.8 + -37.8010904. Round m to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13 * -18.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 165 + -238. Let p = d - -514\/7. Let n = -0.3 - -5.3. Put 0.5, n, p in descending order.\nAnswer: n, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(4 + (sqrt(27)\/(-2*sqrt(324)) - (-3 + sqrt(60)\/sqrt(5)))) + 2)**2*2.\nAnswer: -2200*sqrt(3) + 9619\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 845 - 795. What is the highest common factor of o and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 255 - 255. Which is smaller: b or 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.2 - -2.35. Let d = x + -0.15. Let t be (-10)\/8*(-5)\/25. What is the nearest to t in -3, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m + 14. Let n be 4*4\/16*0. Let h be d(n). What is the highest common factor of 56 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1887347 and 1477.\nAnswer: 1888824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 45110 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times 14.2?\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(2\/7)*l**(-4))**(-2\/21)*(l*l\/l**(2\/11)*l\/l**(1\/5))\/(l**(1\/3))**38 assuming l is positive.\nAnswer: l**(-78382\/8085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14986*m**3*s**3*v + m**3*s**2 - 14*m**3*v - 526*m**2*s**2*v + 5*m**2*s*v - 8*m*s**3 + 11*m*v wrt m?\nAnswer: -89916*s**3*v + 6*s**2 - 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5502194 = 81*u + 46*u - 8918021. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of 24 + 1\/3*r**3 + 61*r - 5\/2*r**2. Differentiate c(d) wrt d.\nAnswer: 2*d - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 644736.1 millennia?\nAnswer: 64473610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.017*58\nAnswer: 0.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 518162*j**3 + 12448104*j**2 + 293256*j + 1728.\nAnswer: 2*(j + 24)*(509*j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2388 = 11*a - 769. What is the remainder when a is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 20*w - 177. Let u be b(9). Suppose u*p + 506 = 5375. List the prime factors of p.\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 783*n*v**2 + n*v + 18*v**2 + 4880*v - 1 wrt v.\nAnswer: 1566*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 80 = 7*k. Suppose -k*d + 118 + 452 = 0. Let q = 60 - d. Solve 0 = -2*n - h - 10, -n - 5 = -q*h + 2*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - 18. Let j be ((4 - 3) + d)\/(-4). What is the third smallest value in j, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 29, 2, -65, -190, -391?\n\"Answer: -3*v**3 - 2*v**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7067.\nAnswer: 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of l**3 + 4*l - 2*l**3 - 2 - 4*l wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16\/(-12) - 2)*(-3 + -6). Is b at least as big as 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6247 = -1692*b + 24209 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*k + 1209 - 569 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 11*x - 2. Let z be (-174)\/24 - 6\/8. Is o(z) 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 10 and 4733824440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 523 + -519. Let d(l) be the first derivative of -8\/5*l**3 + 12 - 56\/5*l**2 + 11*l**4 + m*l**5 + 32\/5*l. Let d(s) = 0. What is s?\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -11*n - 4. Suppose -3*r - 20 = 4*z, 4*r + 22 = -3*z - 0*z. Let l(m) = -10*m - 3. What is z*c(j) + 3*l(j)?\nAnswer: -8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (1125\/(-6))\/(-15)*(-36)\/18*198\/110?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -11\/229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50580, -50648, -50712, -50772, -50828?\nAnswer: -50880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -419*s + 422*s - 28 = -4*i, 5*i - 8*s + 59 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(528\/(-21))*1\/(-21)*(-3438)\/(-191)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 + -11. Let d = 7 + l. Calculate the highest common divisor of d and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 298 + 611 = 5*l + 305, -5*w - 1 = 6*l - 2*l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 927 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-360)\/(-26) + (-2)\/(-13). What is the hundreds digit of (-2)\/(-1) - (-6902)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1795 = -243*u + 12730 for u.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = k - 32, -2*d - 75 = -2*k - 7*d. Suppose 0 = -5*j + 2*i, -5*j + 2*i - 7*i + k = 0. What is the smallest common multiple of 7 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*l - 85 - 84 = -41 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9 and -5299662?\nAnswer: -47696958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*i + 32*i = -15*i. Solve 6 = -i*z - 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 28310800 to the nearest one hundred thousand.\nAnswer: 28300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l - 2. What is the least common multiple of 10 and p(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, l: 3, q: 1, d: 1, r: 1}. Give prob of sequence llq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y + 12 = 16*y - 102. Solve -4 = y*s + 186 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5235 - 873 = -195*f + 4422. Let y be ((-16)\/30)\/((-2)\/201). Let n = f - y. Which is the closest to n?  (a) 1\/3  (b) 1\/2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z**2 - 28*z - 309. What is the remainder when 1547 is divided by m(22)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 4. Let w(v) = v**3 - 10*v**2 + 6*v + 8. Let a be w(f). List the prime factors of (-2)\/6 - a\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 415834 = 2*u, 2*i + 0*u + u = 415840. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1369 (base 16) to base 7\nAnswer: -20326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - u**2 + u + 3. Let q be -2*(-20)\/8 - -1. Let r(s) = -s**3 - 1. Let g(l) = q*r(l) + 3*p(l). Factor g(w).\nAnswer: -3*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2, -1, 5 in decreasing order.\nAnswer: 5, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 11 - (0 + (-3 + -55 - -42))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-77 + 14 - 3)*(-3*m**3 - 3*m**3 + 3*m**3).\nAnswer: 198*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 10:56 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**2 + 4*f + 4. Let y(i) = 5*i**2 + 4*i + 4. Let r(x) = 4*o(x) - 3*y(x). Suppose -2*s + 45*c - 50*c = 50, -s - 29 = 3*c. Calculate r(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 18 - 3*j**3 - 2*j**3 + 125*j**2 + 702 - 569*j - 271*j = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(52)\/sqrt(4))**2 + ((sqrt(156)\/sqrt(4))\/sqrt(3))**2.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 23*l**2 + 5*l + 5. Let b(o) = -o**2 - o - 1. Determine -5*b(v) - r(v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -114 - -74 - (-63 + 81)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 152691856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 74 + -56. Suppose -4*k + o = -3*o - 288, 4*o - 396 = -5*k. Suppose -3*q = -k - 29. Calculate the remainder when q is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u**2. Let p(a) be the second derivative of 0*a**2 - 5\/12*a**4 + 0 + 9*a + 0*a**3. Calculate p(b(m)).\nAnswer: -80*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**3 - 5*a**2 + 5*a + 17. Let q(r) = -3*r**3 + 12*r**2 - 12*r - 42. Let w(i) = -5*q(i) - 12*s(i). What is the derivative of w(o) wrt o?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 418562467 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-45)\/2*(-192)\/(-480).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 348.\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + (sqrt(55)\/sqrt(5)*-3 - (sqrt(110) + sqrt(110)*2)\/sqrt(10))**2 + -4).\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*c = 241*c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ahaxhxhhg. Give prob of sequence xgxa.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -113 times 13185\nAnswer: -1489905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 152081\/4 greater than 38019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 166 + -154. Which is smaller: z or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 9867?\nAnswer: -4\/9867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -5. Let m = -546 - -558. Calculate the lowest common multiple of m and b\/(-6) - 82\/(-6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 5:38 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -19. Let h be (8\/(-36) - 368\/126)*-7. Suppose u + 0 - h = w*f, u - 6 = f. Sort -5, -6, f in decreasing order.\nAnswer: f, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**3 + 3*s**2 - s - 2. Let b be z(-1). Let v(w) = w**2 - 5*w - 3. Let u be v(6). Let c(t) = 0*t + u*t + b*t. Let h(l) = -l**2. Give c(h(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/5)\/(4\/60). Let p be (-2 - a\/(-2))*0. Find the second derivative of 3*l**4 - 5*l**4 + p*l**4 - 6*l wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*b + 3*s = 49*b + 19272, -4*b + 4*s = -15424. Calculate the greatest common factor of b and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (5*(sqrt(432) + -1 + sqrt(432)) - (sqrt(432) - (-4 + sqrt(432)*2 + sqrt(432))))**2.\nAnswer: -2592*sqrt(3) + 62287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20449 - 316*q**2 + 317*q**2 + 6820 + 6827 + 6802.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 390 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**2. Let o(j) = -3919072*j**2 - 33*j. Determine o(b(w)).\nAnswer: -35271648*w**4 + 99*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y**2 - 6*y - 17. Let h(c) = 2*c**3 - 34*c**2 + c - 23. Let u be h(17). Let n(l) = 6*l**2 - 7*l - 18. What is u*n(m) + 7*x(m)?\nAnswer: -m**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15701*n - 15706*n = 4*s + 5, 2*n + s = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 99634392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 o when four letters picked without replacement from wwowoo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23900197?\nAnswer: 23, 1039139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 210249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, -2 in decreasing order.\nAnswer: -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 18.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1119*n + 1119*n + 18*n**2 + 673*n**2.\nAnswer: 691*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -82. Calculate the remainder when o is divided by (11\/(-3))\/((-2)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 576 and 39756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/6*(5*13\/650*-12)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7723314 - 0.5.\nAnswer: -7723314.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4*z - 2*z = 2, 4*z = -16. Let b be (-1221)\/(-27) - m\/(-9). Calculate the common denominator of -11\/6 and 10\/b + 548\/126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.09 in -0.4, -1\/8, 5\/13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18.7 or -0.03881?\nAnswer: -18.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 4*h - 3*h)*(-10 + 10 + 5) - 13*h + 13*h + 42*h.\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 920\/(-15)*(-3)\/2. What is the tens digit of n\/4*(3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1))**(-1\/39)*u*u*u**(-2\/15)*u**(-3\/8)*(u\/u**(2\/3))\/((u**(1\/4)\/u)\/u)*u**(-5\/4)*u*u**(-6)*u assuming u is positive.\nAnswer: u**(-2573\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 >= 508811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 1803 + 107*t**2 - 109*t**2 - 1661 - 49*t. Determine b(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 8*k - 14. Determine l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 174 + -171. Solve q*i + 2*i + 7 = -g, -4 = -i - 2*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88257 is divided by 79.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together -11.89 and 48118743.27.\nAnswer: 48118731.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/187, 4, 383\/52 in descending order.\nAnswer: 383\/52, 4, -2\/187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.56624 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -24332003 (base 5) to base 16\nAnswer: -3836d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4637383 to the nearest integer?\nAnswer: 2153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -417*y**2 + 449.\nAnswer: -834*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 397962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 269, 310, 349, 386, 421, 454?\n\"Answer: -m**2 + 44*m + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*j + 3*j - 6*j)*(-115*j**4 + 80*j**4 + 102*j**4 + 4*j**3 - 4*j**3 + 2*j**4 + (-3*j**2 + 0*j**2 + 2*j**2)*(-4*j + j**2 + 4*j)).\nAnswer: 68*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 723851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -9*u**2 - 35. Let a(z) = 17*z**2 - z + 70. Let p(j) = 6*a(j) + 11*l(j). What is the remainder when 53 is divided by p(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -7 + -1 + 2 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1300) + -1)*-1 + -5 - -2*(sqrt(1300) - -2*sqrt(1300))*3)**2.\nAnswer: -1360*sqrt(13) + 375716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 3*v + v)*(0*v + v - 5*v) - 536*v + 3580 + 5*v**2 - 4*v**2 - 3578.\nAnswer: 5*v**2 - 536*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 2291879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14891 + 14897. Let m(r) be the second derivative of -1\/10*r**d + 21*r - 5\/4*r**4 + r**3 + 3\/5*r**5 + 0 + 0*r**2. Factor m(t).\nAnswer: -3*t*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, 23, 246, 721, 1532?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25.22482 litres to millilitres.\nAnswer: 25224.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of -23*j**6\/60 - j**5\/30 - j**4\/8 - 2*j**2 - 2*j. What is the third derivative of s(u) wrt u?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3604776?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 2 + (19 - (5 + 20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 29788 - 29753. Calculate the remainder when y is divided by (-3)\/((-2)\/(9 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -68482*g**4 + 50021*g**2 wrt g?\nAnswer: -1643568*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, j: 3, m: 1, t: 1}. What is prob of sequence tp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.47 or -744\/4133?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (25 - 13) + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 413*-18\nAnswer: -7434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 22*s - 109. Let d be m(14). Solve -5 = 4*y - 4*j + 19, -7 = -d*y - 2*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3*3*(sqrt(2299) - (3 + sqrt(2299)))**2*1*2.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -4, -6\/11, 0.2, 1\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10098 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13205072 is divided by 50401.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -6*h**2 - 4*h - 4. Let y be i(4). Let t be (y\/(-20) - 1)*5. Let g be ((-10)\/(-6))\/((-4)\/t). What is g rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -295, -2\/9, -2\/11, 2\/7 in increasing order.\nAnswer: -295, -2\/9, -2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41775340 to the nearest integer?\nAnswer: 6463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6518?\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**3 + 20*i**2 - 124*i - 1213. Determine o(-7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 503287.2500074 + -503287. Let p = 2 + -1.75. Let i = y - p. What is i rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3955991112 to the power of 1\/2, to the nearest integer?\nAnswer: 62897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1416 + 1416. Which is the nearest to n?  (a) 2\/9  (b) -7  (c) -2\/11  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -37, -77, -133, -205, -293?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 228858.\nAnswer: 2, 3, 7, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 + 11*z**2 - 10*z. Let u be m(10). Let o(i) = i**2 - 7*i + 8. Let q be o(6). Let w = q + u. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 divided by 875?\nAnswer: 244\/875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 38300328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f + 7 + 2*f - f. Let w(i) = -i**3 + i**2 + i + 5. Let s be w(0). Suppose s*a = m + 32, 2*a + 14 = 3*a - 4*m. Determine o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 2*f = -3*m, 2*m + 35 = 5*f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -82703, -330831, -744355, -1323257, -2067519?\n\"Answer: 3*s**3 - 82716*s**2 - s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -127.85 - 0.15. Let m = j + 123. Which is the nearest to -1.4?  (a) 4\/7  (b) -0.1  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 3\/4, 0, -0.2, 0.11?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, 7, -3.\nAnswer: -31, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20.7944 + 2.8014. Let g = -18 - j. What is g rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 9*z**2 - 2*z + 4. Let c(x) = -9*x**2 + x - 3. Determine -3*c(u) - 2*f(u).\nAnswer: 9*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-14\/9))\/d)\/d*d**(-6)*((d*(d*d**13)\/d)\/d)**(-32\/7))**(1\/24) assuming d is positive.\nAnswer: d**(-4283\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 392*z + 93. Let c be h(3). What is the third derivative of 1248*p + p**5 + p**2 + c*p + 3*p**4 - 2503*p wrt p?\nAnswer: 60*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 110\/(-77)*92\/(-805)*14.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/8)*t**(-1))\/(t*t**(1\/4))**(4\/3) assuming t is positive.\nAnswer: t**(-67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 1035*o**3 + 3*o**2 - 9*o + 16. Let c be u(16). What is c rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q - 15. Let u be o(6). Suppose 3*c = 249 - u. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of z**2 + 7\/144*z**4 - 1\/360*z**5 + 1 + 0*z**3 + 0*z. Let t(m) = 0. What is m?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7584, -14560, -21536, -28512?\nAnswer: -35488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 9793\/55 - 1952\/11. What is the nearest to 3 in 1, -1\/17, b, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -211 equal to -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -111011110110101 (base 2) in base 10?\nAnswer: -30645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2917*t = 2910*t - 14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 938 + -865.3. Let v = 72.2 - h. Which is the third biggest value?  (a) 3\/5  (b) v  (c) -2  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) -2\/5  (c) -5\/4  (d) -900  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 415088446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19036*m**2 - 17*m + 79 wrt m.\nAnswer: -38072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1320*x + 16657 + 13703 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*w + 33*w = 198 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -326*j**5 - 73*j**2 + 5*j - 3 wrt j?\nAnswer: -19560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5600 + -5599.8. Which is the fourth smallest value?  (a) 0.15  (b) 0.5  (c) m  (d) 0.3  (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 129 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -1\/3, 1, -82, 139101 in ascending order.\nAnswer: -82, -1\/3, 0, 1, 139101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11614393312191 - -0.1.\nAnswer: -11614393312190.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -3*j. Let q(o) be the first derivative of o**5\/120 - 5*o**4\/24 + o**3\/3 - 4. Let w(h) be the third derivative of q(h). What is w(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 2. Suppose 8*i - 5*i = 3. Let h be u(i). What is the derivative of 2 + 9 - h - 6*s**3 wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 10*o**2 - 8*o + 7. Let v be q(-9). Let t = 3 - 8. Let s be t\/((v\/(-1))\/16). Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13808022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g - 22. Suppose -42 = 6*f - 6. Let z be -60*(-3)\/f*1. Let i be k(z). Which is smaller: i or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243216 is divided by 48625.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -9*(20\/12 + -3). Let a = -10 + r. Solve l = a - 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 461*s + 447*s - 902*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (7 - -2) - 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the third derivative of 7*n**4\/24 + n**2. Let d be (32\/6)\/((-6)\/(-18)). Let m(z) = 16*z - d*z - 2*z**2. Determine b(m(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 182.\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjnpujpj. Give prob of picking 4 j.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 4 = -5*q, 2*p - 2*q = -3*q - 7. Suppose c - 2*c + 1 = a, 5*a - 8 = -2*c. Put 4, p, a in increasing order.\nAnswer: p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - 7*w - 1. Let c(m) be the third derivative of -1\/60*m**5 - m**3 + 0 + m**2 + 0*m - 1\/3*m**4. Let a be c(-8). What is j(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 2\/11  (c) 12\/59  (d) -0.5  (e) 4\/113  (f) 1\/2  (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 4*n + 29, -13*q + 14*q = -n + 9. Solve 4*i - 6*i - 5*j = q, 0 = -i + 5*j + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/18)\/(11\/9933). Let f = o + -469. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7933629 is divided by 949?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * 0.050018.\nAnswer: -0.600216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 429354674 to the power of 1\/3, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 31 = -13. Let r(o) = -o**2 + 10*o - 9. Let p be r(a). Suppose 0*d - d - 4100015 = 5*q, d + 4*q + 4100012 = p. Round d to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 57*x**3 + 11*x - 50*x**2 - x - 16*x - 47*x**3 as b*x**3 + s*x**2 + z*x + m and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*m**2 + 1615*m - 1615*m)*(3*m + 3*m + 0*m).\nAnswer: -252*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j = -8*j + 216. Let u be (-3)\/(2\/(-9) - (-46)\/j). Find x such that -3\/5*x**4 - 3\/5*x**3 + 3\/5*x**5 + 3\/5*x**u + 0*x + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 2\/4*-1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the first derivative of 502*f**3\/3 - 5*f**2 - 10*f - 110. List the prime factors of p(-1).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1049470499?\nAnswer: 7, 11, 13629487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 937027886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.33, 2\/11, 31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/4)\/((-91)\/1820).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -6*d - 4. What are the prime factors of a(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 294 and 5341.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.21 in -1\/5, 2\/25, 1\/2, 0.3, -4, 16482?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.66 + -0.45. Let x = -0.01 + n. Which is the third smallest value?  (a) -5  (b) x  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14637422087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1230*q**3 + 2484*q**3 - 1136*q**3 + (-2*q + q + 2*q)*(-1 + 2 + 0)*(q**2 + 3*q**2 - 2*q**2) to the form k*q**3 + r + y*q**2 + c*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 507*h**2 + 475*h wrt h.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 1078?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 82 = 2*l, -3*l - 3*o + 159 = l. Let g = 44 - l. Factor 5*i**2 + 28*i + g*i**3 + 26*i - 64*i.\nAnswer: 5*i*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -87 greater than -2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/19, -2\/7, -3\/5 in decreasing order.\nAnswer: 2\/19, -2\/7, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -127.10361 - 61268.\nAnswer: -61395.10361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (-6 + 21 - 7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 265 + -553. Let d = -290 - q. Sort -23, 4, -4, d in increasing order.\nAnswer: -23, -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.94 - -1. Let y = o - -2.94. Let d = 0 + 1. Which is the third biggest value?  (a) y  (b) d  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13677*v**5 - 155*v - 1 wrt v.\nAnswer: -273540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*w**3 + 10*w**3 + 145921*w**2 - 143*w**3 - 145921*w**2.\nAnswer: -205*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3 + 0 - 25*k - 3 + 8. Let i be r(-1). Suppose i = 4*x + 2*a - 175, 3*x - 149 = -4*a. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -120*y + 31. Let n be l(-3). Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*x - 74488 = -75*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/389286 and -71\/267.\nAnswer: 389286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(122\/(-5) - (-2)\/5). Let k be -12*-2*3\/u. Solve -k*r + 9 = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -4. Let l = 1 + -4. Let b = 2 - l. What is the biggest value in b, x, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 254 - 254 + 3*n to v*n + p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 166 + -77. Suppose -5*z + 175 = -5*p, 4*z = -872*p + 867*p + 86. What is the remainder when g is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 4*b**2 - 15*b - 16. Let a be h(3). Let n(f) be the first derivative of -3\/2*f**a - 30 + 22*f. What is the derivative of n(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 27*f**2 + 211*f - 64. What is the remainder when q(13) is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/22 and 27\/33245597.\nAnswer: 66491194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -4*m - 16 + 2, 5*k - 4*m = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 483\/504*234\/138.\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (6*(sqrt(567) + (sqrt(567) - (2 + -1 + sqrt(567) - sqrt(567)))) + 1)**2.\nAnswer: -1080*sqrt(7) + 81678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -633*x + 6115. Give l(5).\nAnswer: 2950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**2 - 7*b + 11. Let k be v(-8). Suppose -5*c + 51 = k*m, -c + 15 = 2*m - 4*c. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81608.08 litres to millilitres.\nAnswer: 81608080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**2 - 36*s + 118. What is h(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.5 - 50.8. Let g = m - -35. What is the closest to -2 in 1\/4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -4*x**3 + 5*x**2 - 3*x - 1. Let c be g(3). Let t = c - -107. Find the first derivative of -4 - 19*h - 20*h + t*h wrt h.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29118.\nAnswer: 2, 3, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 15. Let m = 9 - 10. Sort g, m, 3 in descending order.\nAnswer: 3, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -88 + 3*s - 2*s + 85. Suppose -8 = 4*a - 3*g - 34, 2*a - 5*g - 20 = 0. Give v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/210724 and 95\/235188.\nAnswer: 89136252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7310 - -7310.000020228. Round g to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 75003418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9829*g - 23 - 26 - 8 - 21 + 78.\nAnswer: -9829*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*v - 144 = 97*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -4*y**3 + y**2 - 2*y + 4. Let f(t) = 7*t**3 - 2*t**2 + 3*t - 7. Let u(k) = 5*b(k) + 3*f(k). Let v(n) = 3*n + 2. Determine 2*u(g) + v(g).\nAnswer: 2*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3161 less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12.7?  (a) 2\/3  (b) -4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.2 + 2.2. Which is the third biggest value?  (a) z  (b) -0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5. Let c(v) = 3*v - 318. Calculate c(r) - 3*s(r).\nAnswer: 3*r - 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -q**4\/12 + 4*q**3\/3 + 10*q**2 - 81*q. Find u such that v(u) = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11022710 to the nearest integer?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1))\/u)**(-4\/27)*u**(-1\/8)\/u**6 assuming u is positive.\nAnswer: u**(-1291\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6242 - -10102. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1737.7 - -1738. Let h = -0.02 + -0.98. What is the fourth biggest value in 5, h, 3, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -53228 at least as big as -2821041\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((0\/14)\/((-1)\/(-1)))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10373 - -145293\/14. Let h(z) = -z**2 - 8*z + 2. Let k be h(-8). Calculate the common denominator of v and -2 + k*(-1)\/(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 42 + 4 = 0. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34645.\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 71788200 to the nearest 100000.\nAnswer: 71800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*m - 1820 = -50*m. What is the greatest common factor of 39 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12.4 + -53.6. Let x = i - -96. Let r = x - 29.946. Round r to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(1331)*-1)*-1 - ((sqrt(3520)*-1 - sqrt(3520))\/(sqrt(720)*-2 + sqrt(5) + sqrt(5)))**2.\nAnswer: -20\/11 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 99532.3 centimeters in micrometers?\nAnswer: 995323000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 1*-2*sqrt(128)*3 + (sqrt(2) + -2)*-1 + -5*sqrt(242))**2.\nAnswer: -1040*sqrt(2) + 21657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1118791068591 minus -0.1485?\nAnswer: 1118791068591.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 120001110 (base 3) in base 11?\nAnswer: 8277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -62871*g + 62841. Calculate s(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 124051\/444 + -838\/3. Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 140042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5 is divided by ((-2)\/3)\/(4 + (-38)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, x: 3, u: 6, j: 1}. Give prob of picking 3 u and 1 x.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0154303414 to 6 decimal places.\nAnswer: -0.01543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + (-2)\/((-4)\/22). Suppose f + 75 = 6*f. Suppose -5*h + y = -f. Is h greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 14. What is m(-24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of 0 + 0*q**2 + 0*q**4 - 50\/3*q**3 + 88*q + 1\/10*q**6 + 3\/20*q**5. What is the second derivative of s(c) wrt c?\nAnswer: 36*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -234*g**2 + 26*g + 26. Let i(s) = -26*s**2 + 3*s + 3. Let j(d) = -26*i(d) + 3*n(d). Let v(k) = 4*k**2. Give j(v(r)).\nAnswer: -416*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -26  (c) 1\/3  (d) 0  (e) -0.4  (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -320132.708 to the nearest 100.\nAnswer: -320100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3*y**2 + 2*y - 10. Let p(x) = -x**2 + x - 3. Let r(s) = 8*p(s) - 3*w(s). Let a be r(-7). Let u = a + -36. Solve u = -5*j - 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 290 and 73602?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 192*z**3 - z**2 + z + 1. Let h be n(1). Suppose -3*i - 107 - h = 0. Let v be ((-6)\/65)\/(40\/i). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1776.2 + 1776. Let l be ((-9)\/4 + 2)*-5. Sort h, -5, l in increasing order.\nAnswer: -5, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 27 = -h. Suppose 2*n = h - 4. Let v(a) = -a**3 - a**2 + a + 81. Let o be v(0). What is the highest common factor of o and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11435396 by 58.\nAnswer: 197162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14\/5*d**3 - 8\/5 - 2*d**2 + 32\/5*d.\nAnswer: -2*(d - 1)*(d + 2)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2)\/q**(-6))\/(q**(-3\/5))**19 assuming q is positive.\nAnswer: q**(179\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -4*t**3 - 3*t**2 + 3. Let m(v) = -11*v**3 - 8*v**2 + 8. Calculate -3*m(s) + 8*y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -214774 rounded to the nearest one thousand?\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38301146.\nAnswer: 2, 13, 47, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 x when three letters picked without replacement from dxwwgwgdxxxxraw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39 and 35555.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -30599\/60 + 510. Let f(k) be the third derivative of 0*k + 7\/24*k**4 - 23*k**2 + k**3 + h*k**5 + 0. Give f(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -155\/518 + 1\/74. What is the third biggest value in -0.3, 0, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**2 - 4*a**2 + 78*a - 81*a - 14*a**3 as b*a**2 + h*a + y*a**3 + v and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.15 * -0.5.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49, 33, 25, 25?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of x**4\/4 + 4*x**3\/3 - 3*x**2 + 6*x - 15. Calculate s(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3560000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 8 + 6 = 2*o, -3 = -3*y - 4*o. Suppose 0*f + f = 4*w - 3, y*f = 2*w + 3. Suppose 2*t - f = 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y - 5*y**3 - 7051*y**2 - 7*y**3 + 9*y.\nAnswer: -12*y**3 - 7051*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -2*p + 12, 0 = -2*p + 5*u + 16. Let g(y) = -y**3 - 2*y**2 + 2*y + 1. Let w be g(p). Let z be (-4 + 0)*(w + 2). Solve -7 = k - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5132, 5121, 5104, 5081, 5052, 5017, 4976?\nAnswer: 4929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 197, 399, 601, 803?\n\"Answer: 202*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**3 + 230*o**2 + 16697*o + 389872 = 0.\nAnswer: -112, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 3, -16, -37, -60, -85, -112?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 8) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14720 and 12?\nAnswer: 44160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1555323.79 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23628253 divided by 1507.\nAnswer: 15679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 65 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -138 and 4398637153.\nAnswer: 4398637015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.95 + -1.4. Let g = -0.5 - -0.55. Let b = i - g. What is b rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34242 = 58*o - 64*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000198402 rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12\/469 - -5917\/7035. Calculate the common denominator of b and 210\/54 + (-4)\/(-18).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 195 divide 13600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8, 107, 264, 473, 728, 1023, 1352, 1709?\n\"Answer: -t**3 + 35*t**2 + t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 19*x + 25. Let f = 0 - -5. Let d(y) = -13*y - 17. Let v(j) = f*q(j) + 7*d(j). Is 24 a factor of v(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/8016 and 13\/2260512?\nAnswer: 2260512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7247 - 7247. Which is bigger: -2\/36643 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -135 - -142. Let k be (-1 - 2) + l\/(147\/56). Sort 5, -3\/31, k in ascending order.\nAnswer: k, -3\/31, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60225236?\nAnswer: 2, 47, 563, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -141923, -141914, -141891, -141848, -141779, -141678, -141539, -141356?\n\"Answer: c**3 + c**2 - c - 141924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 185247.\nAnswer: 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 248\/28 + (-17 - -9)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 - -9) + 0 + 2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -1 + sqrt(684) + sqrt(684))**2 + 5 + (sqrt(684) - (-5 + 1 + sqrt(684)))**2 + (sqrt(684) - (sqrt(684) + (sqrt(684) + 0)*-6)**2).\nAnswer: -14342 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2476.\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((m\/(m**(1\/2)\/m))\/m*m)\/m)\/m)**27)**(1\/2) assuming m is positive.\nAnswer: m**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 68093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 102.77 + -102.72. Which is the closest to 1\/2?  (a) -3\/5  (b) -1  (c) w  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 4 + 0)*(34 - 34 + 4*u**3) + 3*u - u**3 - 3*u)*(-1 + 1 + 2).\nAnswer: -58*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*6*(5 + sqrt(252)*5 + sqrt(252) + (3*(sqrt(252) + 4 - sqrt(252) - sqrt(252)))**2)*1.\nAnswer: -87012 + 14256*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j + 7. Let o be v(6). Let z = -1228 - -3686\/3. What is the closest to z in -2\/15, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1051591639?\nAnswer: 7, 281, 534617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h + 7. Give k(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61, -74, -91, -112, -137, -166?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.15 times -2.422086\nAnswer: 0.3633129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 560 = 28*n - 23*n. Suppose 3*q = j + 52 + 64, 3*q = 5*j + n. Let p = 115 - q. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -67 - 49074?\nAnswer: -49141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -7, 5, -4 in increasing order.\nAnswer: -7, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -77*f**2 + 68. Let a(r) = -27*r**2 + 24. Let j(s) = -17*a(s) + 6*v(s). Let p(q) = -q**2 - 34. Calculate p(j(m)).\nAnswer: -9*m**4 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 6:53 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - -3. What is the second derivative of 0*s**4 + 6*s**t + 5*s - 6*s**4 + s**5 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 371485, 742990, 1114495?\nAnswer: 1486000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a = -73960*o + 73957*o - 5*a + 3, 2*o - a - 2 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 871.6199 millilitres in litres?\nAnswer: 0.8716199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240*z + 60 = -225*z. Solve 6 = -z*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-861)\/(-308)*(3 - (-303)\/(-99)) and -17\/5.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1816448?\nAnswer: 2, 23, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 20847416 to the power of 1\/2, to the nearest integer?\nAnswer: 4566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 13813*i - 27622.\nAnswer: -(i + 2)*(i + 13811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 22205*c + 690. What are the prime factors of n(1)?\nAnswer: 5, 19, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 1. Suppose 5*k + 4 - d = 0. Let z = 77 + -73. What is the highest common factor of k and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57991*y**2 + 117101*y**2 - 58437*y**2.\nAnswer: 673*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/28*5975*(-48)\/(-1800) + 21.\nAnswer: -92\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -0.2  (c) 2  (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -199?  (a) 2\/17  (b) -3  (c) 0.3  (d) 21  (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -606 = -1263*f + 1162*f. Sort 1, 0, f, -3, 7 in descending order.\nAnswer: 7, f, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24874301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve x + 4 = -2*i, -12 + 8 = 2*x + 3*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3174, 3\/2, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 7:26 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45440, 46074, 46708?\nAnswer: 47342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1102730*i = -1103287*i - 35648 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from lllllluullulll.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/18 + (-76)\/(-18). Let b = 0 + -4. Let w be (3*b\/8)\/(3\/(-4)). Put w, x, 1 in ascending order.\nAnswer: 1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**2 + 121*h - 2194. Determine n(12).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440002*a = 439906*a + 96 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p - 134 = 2*t, -4*t - 268 = 2*p. Let f = t + 635. Suppose 0 = -0*j - 8*j + f. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7\/((-14)\/4)*(-29)\/(-2). Let n = w + -15. Let s be (-33)\/n + (-82)\/56. Which is the closest to s?  (a) -1\/4  (b) -2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 AM and 1:07 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, 2.05, -58, -2\/95 in descending order.\nAnswer: 2.05, -2\/95, -0.6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 245574291 a multiple of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 11040.\nAnswer: -1\/2760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -27, 67, -0.1991, 5 in descending order.\nAnswer: 67, 5, -0.1991, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 67819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of 0*z**4 + 17\/2*z**2 - 2 + 3*z + 0*z**3 - 13*z**6 + 0*z**5. Find the second derivative of b(q) wrt q.\nAnswer: -1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -1 - -2) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1233, -2469, -3709, -4953, -6201?\n\"Answer: -2*x**2 - 1230*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*j + 933*j**2 - 30*j.\nAnswer: 933*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/9, 51, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 2*v**2 - 5*v + 11. What is the tens digit of m(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 485762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30?  (a) -0.2  (b) 0.047  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 190, 167, 130, 73, -10, -125, -278, -475?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 637229?\nAnswer: 637229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 23 or 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 v when four letters picked without replacement from {g: 4, a: 4, v: 7}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -9*t**3 - 34*t**2 + 29*t. Let n(j) = 4*j**3 + 16*j**2 - 15*j. Give 3*l(k) + 7*n(k).\nAnswer: k**3 + 10*k**2 - 18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-624)\/9)*360\/160. Is 158 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37 - 36 + 7155*q**3 - 599*q**3 + 73.\nAnswer: 6556*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-1))\/7)\/((-234)\/273)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**4\/4 - 3*z**3 - 37*z**2\/4 - 21*z\/2 - 4 = 0 for z.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 182703 and 669911.\nAnswer: 2009733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (56*5\/5)\/(0 - -2). Let z be 115\/4 - (-2)\/8. Let u = z - v. Sort u, -1, -5 in ascending order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1752804*i*l**3 + 96520*i*l**2 - l**2 wrt l.\nAnswer: 10516824*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 80269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2079\/5 or 417?\nAnswer: 2079\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*z**5 - 2082*z**2 + 30033*z?\nAnswer: -180*z**3 - 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 PM and 5:37 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*-6)\/((-60*(-15)\/180)\/1)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n - 4. Let r(s) = 4*s + 11. Let b(k) = 11*a(k) + 4*r(k). Let p(u) = 8*u**2 - 2*u**2 - 5*u**2. What is p(b(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 74000 = v. What is v rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -8*r**3 + 3*r**2 + 2*r. Let c be b(-2). Suppose 2*p = -0 + 54. Calculate the common denominator of 6\/p + 602\/c and -41\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i - 23. What is r(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12775\/18 or -711?\nAnswer: -711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a second in milliseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 40.46294l?\nAnswer: 40462.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + 4\/15*-8. Let o = -35 + 19. Let g be o\/4*(-1)\/((-8)\/14). Which is the biggest value?  (a) 1\/7  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104 - 68 - 16 - 20 + 7*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of d**4\/4 - 5*d + 5. Find the first derivative of k(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 10 + 2. Does 13 divide ((-6)\/15)\/(p\/(-330))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + (-68)\/(-24) + (-2)\/(-12). Let d be (1 + 0 + -2)*3. Put q, -1, d in descending order.\nAnswer: q, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h*h*h\/((h\/(h*h*h*h*h**(1\/4)*h))\/h)*h*h*h)\/h)**(-10) assuming h is positive.\nAnswer: h**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/22 - 158\/(-22). Suppose -13 = -4*o + t. Let x(d) = d - 1. Let u be x(4). Solve 2*c + 1 = o*j, -u*c + 4*j + 6 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-1)\/1)*-9. Suppose w*b - 51 = -6. Solve 21 + 4 = -b*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**5\/4 + 3*h**4\/2 - 6*h**3 - 27*h**2\/2 - 27*h\/4 = 0 for h.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 10:01 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p - 287 + 104 + 183.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29, 52, 63, 56, 25, -36, -133, -272?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -148*i. Let x(z) = -594*z. Give -6*x(w) + 22*y(w).\nAnswer: 308*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.179, -2, 2, 3?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 8 = 2*d, -v + 22 = 5*d - 4*v. Find the first derivative of -10 + 8*j - 17*j - 3*j**d - 10 + 7*j wrt j.\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) 2\/13  (c) 1\/3  (d) -2  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, 1392, 97 in ascending order.\nAnswer: -1\/4, 97, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 39*j - 182. Let z be m(5). Solve 4*i - 4*n = -0*n - 16, -2*n = -3*i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + m. Let v(d) = 2*d**3 + d**2 + 2*d + 2. Give -3*a(r) + v(r).\nAnswer: 2*r**3 + 4*r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 90\/((-2 + 4)*1). Suppose -4*m - f = -3*b, b = 3*m + 10 + 25. Let n be -10*(5\/(-50))\/((-3)\/m). Let j(o) = -2*o**2 + 2*o - 4. What is j(n)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/8 - 2\/(-4). Suppose 3*z - 5*g + 5 = 2*z, -5*z + 4*g - 4 = 0. Suppose z = 4*a - 7*a. Is a greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from upuucpuuuulucuuc?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 44182687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -94331?\nAnswer: -94335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 1. Calculate the smallest common multiple of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34076 = 11*l - 326170. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 9. Let m be i(-7). Let t be (-10)\/4*m\/10. Let v(b) = b**3 + 7*b**2 + 5*b. Let n be v(-6). Solve 5*f - 3*x - 4 - 9 = 0, 0 = -t*f - 2*x + n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 160 and 2440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*6*sqrt(128)*4 - (6*(sqrt(128) - (2 + sqrt(128))) + 2*sqrt(128)*3).\nAnswer: -1200*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/12)\/((-12)\/8). What is the smallest value in 2\/5, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/4)\/(9\/75). Let w be ((-18)\/21)\/(1 - (-68)\/(-56)). Differentiate 13*y**w + v - 22 - 13 wrt y.\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z, -3*o - 4*z + 15 = z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 3:23 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -111 - -75. Let f be q + 33 - (1 - -1). Let n(m) = -4*m - 2. Let u(a) = -a - 1. What is f*u(y) + n(y)?\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**2. Let p = -6 + 19\/3. Let t(b) be the second derivative of 0*b**2 + 0 + 4*b + p*b**3. Calculate a(t(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 9792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h**3 + 3*h**3 + 9*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b0 - -121?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 354555 (base 7) to base 15.\nAnswer: 13ec3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -59*h**2\/2 - 193*h\/2 - 24 = 0. Calculate h.\nAnswer: -3, -16\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/3 + (-20)\/(-6). Solve 4*h = u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1\/5, 149, -3, -1, -2, 0.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/53069537 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.64394 rounded to 0 decimal places?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 5. Suppose 2*u - 5*i = -4*i + k, 0 = -5*i + 25. Suppose -4*s - 4*b = -104, -s + 144 = u*s - 2*b. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**4 - g**4 + 5*g**4)*(3 + 4 - 6) - 65 - 6*g**2 + g**4 + 65.\nAnswer: 2*g**4 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166006 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/4 + 113*v\/2 - 227\/4.\nAnswer: (v - 1)*(v + 227)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*q - q + 15, -5*l + 9 = -2*q. Let y be (-185)\/(-17) + (-4)\/(-34). Suppose q*a + 3*p + y = -a, a - 5*p = 26. Let n(b) = 5*b**2. Determine n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 798.\nAnswer: -319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*b*g**2 + 179*b*g - 112*b - 2*g**2 + 26280*g + 17 wrt b.\nAnswer: 9*g**2 + 179*g - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((7 - 2 - 3)*(h + 2*h - 4*h) + 3*h - 4*h + 2*h - h + 0*h + 0*h)*(-620*h + 497 - 497) in the form g*h + i*h**2 + b and give i.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -317 + 657. Let v(o) = -o**3 + 8*o**2 + o - 5. Let g be v(8). Suppose x - s = -3*x - z, -255 = -g*x + z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -79*m - 6 + 9 + 8*m. Let d be x(-3). What is the smallest common multiple of 8 and d\/28 - 4\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/3)\/(32\/(-24))*50\/10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21 + 24. Solve v*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 50.98 - -0.02. Let k = o + -55. Let h = 3 - 3.2. Which is the closest to k?  (a) 0.1  (b) 2\/13  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-35))\/((((-176)\/(-5))\/22)\/(-52)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 85735 = 33501. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 7 + 210 + -181.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/112 and -10\/912203?\nAnswer: 102166736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2144*a = -2147*a + 4*z - 21, -6*z = -2*a - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -331.5  (b) 0.3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 197 + -142. Suppose 10*f - b = -5. Suppose -5*g - 7 = 13. Sort f, -5, g, -2.\nAnswer: -5, g, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00616247 rounded to four dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 2*t = 435 - 465 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -124 - -140. Let s be ((-198)\/264)\/((-30)\/y). Factor -s*l**4 + 0*l**2 + 0 + 0*l - 2\/5*l**3.\nAnswer: -2*l**3*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 3912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/1*(-2)\/156*3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3943700 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: Round 0.00007611 to six decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j + 58*j + c = 240, 0 = 4*j + 2*c - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5465 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + -4)\/(-20 - -19). Suppose 2*x - x - 4 = 0. Is -138*(n + (-14)\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 525 and 5075?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2855 divided by 56.\nAnswer: -2855\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 293 divide 327468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2692.7 - -3152. Let f = w - 459. What is the nearest to 2\/7 in -0.02, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 6*i**5 + 10*i**4 - 4*i**3 - 12*i**2 - 2*i + 2 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(108) + (sqrt(108) - (sqrt(108) + sqrt(108)*-1 + -5)) + 5)*-2 + 0)*-5)**2*-1.\nAnswer: -1915200 - 864000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 94 + -52. Let m = b - 39. Solve m*f + 0*f = 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000010788 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 271 - 471. Let u = 200.0000142 + n. Round u to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(110)*-3 + (sqrt(110) - (sqrt(110) - ((1*sqrt(110) - sqrt(110)) + sqrt(110) - sqrt(110)))*-3))\/(sqrt(90) + -6*sqrt(90)*1).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 4:43 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6601 - -6601.1. Suppose -4*n + 5*n = -2. Let o be n\/(-8) + (-45)\/4. Is p at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 = 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -55787 + 55812. Let o = -11\/61 - -1829\/671. What is the common denominator of v and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/100, -104, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of -y**3\/3 - 3. Let g(k) = -5*k**2 - 4*k. Let o(c) = 4*c**2 + 3*c. Let i(x) = -3*g(x) - 4*o(x). What is i(n(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - y - 7 = -0*y, 3*y = 2*q - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3164 is divided by 532.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, g: 4, d: 5, p: 7}. What is prob of sequence gg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 80 or 132?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 + -80. What is the closest to 0.1 in h, -3, -0.06?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3122031 + 103?\nAnswer: -3121322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*q + 9. Suppose 0 = q*g + 30. Let s(d) = -9*d**3 + 5*d**2 - 5*d + 9. Let o(i) = 3 + i**3 - 6*i**3 - 3*i + 3*i**2 + 2. What is g*s(l) + 5*o(l)?\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 27*d**3 + 36*d**2 - 45*d + 15. Suppose -22*n + 4 = -26*n. Let w(i) = i**3 - i**2 - i - 1. Let y(a) = n*l(a) - 3*w(a). Let y(b) = 0. What is b?\nAnswer: -2, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1539913 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/((-9196)\/(-132)) + (-833)\/19\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 31. Let y be 8\/14*(-3 + (-50)\/f). Which is the nearest to 2\/7?  (a) 2\/5  (b) 2\/9  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -847392*c**3 + 63*c**2 + 44*c**2 + 847390*c**3 + 4*c to the form p*c + z*c**3 + u*c**2 + m and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + 2*i**2 - 29*i. Let l = -91 + 91. Calculate o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 12 = -x. Suppose 238 = -5*j - x. Let l be 2\/(-10) - 60\/j. Sort l, -1, 4 in ascending order.\nAnswer: -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(77) - (sqrt(77) - (sqrt(77)*-2 + sqrt(77))*6)) + sqrt(77)))\/(-4*(sqrt(11) + (sqrt(275) - (sqrt(275) + sqrt(275)*-1)))).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -366  (c) -0.86  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001919 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27.2 + 29.2. Which is the nearest to -42?  (a) 1  (b) s  (c) -0.2  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 114 - 114. Suppose 4*v = g + 5, 0 = -2*v + 2 - x. Let w(k) = 2*k**3 + k**2 + k. Determine w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1720 = -5*x + 5*b, 9*b + 1724 = 5*x + 6*b. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*m**4 - 3*m**4 - 2*m**4)*(-2*m - 2*m + 0*m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**4\/54 - 14*z**3\/9 + 49*z**2 - 17*z. What is q in x(q) = 0?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1101*x - 1086*x = -135 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 24\/(-15))*-5. Let m be q*(-4)\/((-8)\/9). Suppose 4*g + m - 92 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-3*b - b + 2*b) + 2*b - 3*b + 0*b + 1 + 3 + 1482*b - 4 + 285*b.\nAnswer: 1764*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -194 and 8?\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g + 2. Let s be t(4). Let r be 5 + 0 - (1 - s). What is the second biggest value in 0, r, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 greater than or equal to 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 0. Let k = 21.9 - 23. Let a = k + 0.7. What is the second biggest value in a, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m = 29. Suppose 4*t + 4*q = 44, 5*q = -3*t - 0*q + m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -6*f**3 + 15*f**2 + 7*f + 22. Let k(i) = -7*i**3 + 16*i**2 + 9*i + 23. Let y(v) = 5*k(v) - 6*s(v). What is the tens digit of y(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 222579, 222986, 223381, 223758, 224111, 224434?\n\"Answer: -p**3 + 414*p + 222166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s - 1. Let g = -5 + 2. Let m be h(g). Suppose -w - 60 = -m*w. What is the greatest common divisor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103 (base 4) to base 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 627237 - 209259 + 15*m**3 - 208724 - 209254.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2148920751.\nAnswer: 3, 17, 23, 1831987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1323 + -220?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 57 = -3*z, 166*z = 5*n + 169*z - 105. Calculate the highest common factor of n and 1416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 78056*r + 5. Let k be i(4). Suppose 0 = -42*w + 2355403 - k. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/5506 or 1?\nAnswer: -11\/5506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 35447110939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13730\/11 - 1249. Is -1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27980089 rounded to the nearest 100000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 24.8  (b) 3  (c) -0.2  (d) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*c + 340 = -1043, 0 = 5*c + 35. Calculate the highest common factor of l and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25528967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2377093190 to the nearest 1000000.\nAnswer: 2377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-26) + (-12060)\/390 + 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 601 a factor of 938939758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (4*(sqrt(153) - sqrt(153)*2))\/((sqrt(18)*3)\/sqrt(2)))**2 + -5.\nAnswer: -8*sqrt(17) + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-2*12\/(-8))\/(-5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*p**2 + 17*p**3 + p**4 - 6*p**2 - 15*p**3 - 1 in the form i*p**4 + c*p + k*p**3 + r*p**2 + o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrererrre. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2790 and 53010.\nAnswer: 53010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggxg. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, t: 7, l: 6}. What is prob of sequence ssll?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that j**2 - 403088*j + 40619983936 = 0.\nAnswer: 201544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 9*f**2 + 4*f. Let c(v) = -34*v**2 - 17*v - 13. Let g(s) = 8*s**2 + 4*s + 3. Let i(b) = -6*c(b) - 26*g(b). Calculate 13*i(y) + 6*w(y).\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (102\/(-408))\/(4\/(-51)) and 53\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 27394833.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 910*((-91)\/(-14) - 6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**6\/300 + k**5\/75 + k**4\/60 + k**2\/2 + 3*k. Let n(l) be the first derivative of z(l). Factor n(o).\nAnswer: 2*o*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56\/(4928\/44)*(0\/2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2)*d)**(12\/19))**(14\/3)\/((d\/(d**(1\/2)*d))**(-1\/80)*d**2\/d*d**(-2\/9)*d) assuming d is positive.\nAnswer: d**(-129451\/27360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -a3aee (base 16) to base 7\nAnswer: -5461440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -5*q. Let u be i(1). Suppose 0 = -4*k + 32 + 4. Let p = k + u. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + 8 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(16\/(-60)*(-6)\/80). Calculate the greatest common divisor of o and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of -o**5\/60 - o**3\/2 - o**2. Calculate b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-240)\/360)\/((-2)\/15). Suppose -k*p + 4833 = 1413. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -26*d**3 + 7*d**2 - 2*d + 7. Suppose -543 = -30*r - 25*r - 158. Let i(c) = 13*c**3 - 4*c**2 + c - 4. What is r*i(g) + 4*v(g)?\nAnswer: -13*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 less than -1026976926966?\nAnswer: -1026976927027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 9:48 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1929825 to the power of 1\/2, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 5*j**4 - 50*j**3 + 65*j**2 + 300*j + 180 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 13*a**2 - 10*a - 64. Determine m(-13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 - r. Let a(v) = -22*v**4 + 19*v**4 - 18*v**4 + v**2 - 3*v. Let m(j) = -a(j) - u(j). What is the second derivative of m(o) wrt o?\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003791281 rounded to five dps?\nAnswer: -0.00379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/66276 and -19\/16569.\nAnswer: 66276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*a = -34*a + 70 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 3*p + 28. Let t(i) = -i - 3. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 105437951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9890.978425 rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/15 + (-3)\/5. Put 1\/5, -1, i in ascending order.\nAnswer: -1, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13344 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 3*k**2 - 2*k - 6. Let j be (13\/13)\/((-2)\/(-8)). Let p be 0 + (15 - -1)\/j. What is the tens digit of h(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6118638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, 1\/2, -1\/3, 24, -3, 439?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 + 0)*(2*u**3 - 4*u**3 + 4*u**3).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -r**2\/6 - 13526*r\/3 + 9018 = 0.\nAnswer: -27054, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2, -210, 1 in ascending order.\nAnswer: -210, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -64\/57 + -4\/19. What is the common denominator of -51\/8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 10 = -8*k. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 11?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -4*s**2 + 116*s + 120 = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u - 252. Let z be n(44). Let x = -76 - z. Calculate the highest common factor of x and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c + 2*c - 4 + 7 + (7929 - 293*c - 7929)*(-1 + 3 - 3) - 2*c + 9*c - 2*c + (0 + 0 - 1)*(-2*c - 2 + 2).\nAnswer: 304*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/20)\/(33\/110).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 + -3 + -20 + -13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -767 + 784. What is the remainder when 56 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10697398 to the power of 1\/2, to the nearest integer?\nAnswer: 3271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/(-5))\/(12\/210). Let i be m\/(-2) - (-9 - -6). Let w = -6 + 6.3. Which is the nearest to w?  (a) -2  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 37. Suppose 2*u = -w*y + 3*y + 574, -u = 2*y - 230. Suppose 5*m - 8*m = -y. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 76961703 and 98056.\nAnswer: 615693624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-75)\/(-1)*(-18)\/135*3. Let p be 60\/(-9) - 20\/r. Let x(z) = -z**2 - 5*z + 7. What is x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**4 - 1978016*b**3 - 243825050976*b**2 + 175340001950080*b - 31431304422337600 = 0.\nAnswer: -247610, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 84 and 792?\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 4, q: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -11, 4, 1\/3, 0.5, 0.077 in descending order.\nAnswer: 4, 0.5, 1\/3, 0.077, -4\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11\/22*(0 + 8). Let y(x) = x + 8. Let l be y(-4). Factor 0*q**c - 7*q**3 + 2*q**3 + l*q**4 + 9*q**3.\nAnswer: 4*q**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 = 3. Suppose -20 = -t*k + k. Does 8 divide (4\/5)\/(1\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -185 in 1, 4, -266, -2\/9, 2?\nAnswer: -266","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 0, -6 in descending order.\nAnswer: 0, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 467\/55 - 32\/5. Find the common denominator of -7\/8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 626 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5*(-22)\/220)\/((-66948)\/33472 - -2). Calculate the greatest common factor of d and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 5:46 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3*i - 3798 = 2*a, 2*a = 6. Suppose 5*c = 19323 - i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 286?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48831.7 - -45601. Round j to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*o**5 - 24*o**4 + 23*o**2 + 0*o - 8*o**3 + o**2 - 2*o**3 - 8*o = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 658111140 divided by 4310?\nAnswer: 152694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 25 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -1927?\nAnswer: 7\/1927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 30 = 39. Suppose a*t + 1496 = -961. Let u = t - -1370. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -123\/140 and -3\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -63 + 59. Let h = 39.9 + -40. Sort -3, t, h.\nAnswer: t, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 44 = -2*s - v, -v = s - 22. Let c = s - 12. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15462, -15902, -16344, -16788, -17234, -17682, -18132?\nAnswer: -18584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/14*12\/(-30)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/129 and -7\/17?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-25 + 40)*(-2)\/(-6). Suppose 5 = 6*o - t*o. Suppose 4*g = o*g. Solve 5*d - 2 + 22 = g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3150261946 to the power of 1\/2, to the nearest integer?\nAnswer: 56127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 206661699 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -164.3622809 take away 1?\nAnswer: -165.3622809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k - 3. Let d be t(-6). Let a = -9 + 13. Suppose -j - a = -d*j. Solve -j*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1357, 1357, 1355, 1351, 1345, 1337?\n\"Answer: -l**2 + 3*l + 1355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2647722088 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14323.\nAnswer: 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -24*m**3 - 20*m**2 + 13*m - 13. Let i(y) = -6*y**3 - 5*y**2 + 3*y - 3. Let p(b) = 26*i(b) - 6*w(b). What is the third derivative of p(a) wrt a?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 19  (b) 269  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/30)\/(((-136)\/60)\/(-17)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.01387 + -0.21387. Which is the smallest value?  (a) i  (b) -0.5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 2, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/114012 and 11\/108.\nAnswer: 342036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 167 + -123. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18924980 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 AM and 7:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a - 3. Let f(m) be the first derivative of m**2 + 4*m - 61. Calculate -2*f(n) - 3*x(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -44?  (a) 2  (b) 98  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2492 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2172\/31 - -71457\/992. Find the common denominator of 2\/5 + (-4466)\/(-1260) and j.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m. Let b(w) = 122201*w**2. Calculate b(k(j)).\nAnswer: 122201*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 5*s**2 - s - 2. Let z be q(-5). Let w be 1*-1 - (-6 - 0). Find the third derivative of 7*m**z - m**2 + w*m**2 - 4*m**3 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 3. Which is smaller: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d + 2. Let h be f(1). Let o be (-3 - -1)\/(h\/40). Suppose -5 = x, 2*m - x - 7 = -6*x. What is the greatest common divisor of o and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -13*z - 2. Suppose -3*b + 2*b + 1 = 0. Let g = 12 - b. What is the lowest common multiple of g and y(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = t - 7, 6 = 4*l + 1894*t - 1891*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 1. Suppose -1 = -4*n + 3*f - 2, -4*f = -12. Suppose -k = k - n. Let a be i(k). Solve v + v = a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-24)*4)\/(7\/2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cgpgpggppcppgggggg. What is prob of picking 1 c and 1 g?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -525 + -3?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 248355893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2653 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -6*r**3 - 45*r**2 + 20*r + 34. Let h be ((-36)\/16)\/((-1)\/36). Suppose -h = -3*l + 21. Calculate the remainder when v(-8) is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 907082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 19. Let g = r + 10. What is the units digit of (3\/(-6))\/((-3)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.397909 days in weeks?\nAnswer: 0.913987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388 - 337 = -3*v - 6*v - 20*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*z = 13 + 3, 0 = -2*y - 3*z + 2. Let k(r) = -r**2 - 4*r + 3. Let q be k(2). Let w be 3\/q*-11 - y\/6. Solve 0 = -4*i - 15 + w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of u**3 - 4*u - 491. Let q(g) = -9*g**2 + 11. Suppose 4 = 2*t - t. Determine t*q(n) + 11*d(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w = -38*w + 151424. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 0*b**2 + 2 + 6 + 6*b - 2*b. Suppose 5*r - 2*x = 13, -3*r - r + x = -11. What is the remainder when k(4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.062415 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**6\/60 - t**5\/12 - t**4\/8 - t**3\/6 - 2*t**2. What is the units digit of a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3*z**3 + 5 + 4*z**3 - 2*z**3 + 6*z**2 + z - 7*z. Let b be c(5). Sort b, 1, -0.5 in ascending order.\nAnswer: -0.5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3302.251073 to the nearest 10.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 5*u. Suppose u = -d - 1 + 6. Suppose -d*t = -4*i - 441, 0 = 5*t + 2*i - 437 + 20. Calculate the greatest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/7)*k*k*k*k**(3\/7)*k)\/(((k\/(k\/(k**(-1\/4)\/k)*k))\/k)\/k**(-2\/11)) assuming k is positive.\nAnswer: k**(2221\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/407?  (a) 4\/5  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 4*g - 4*k + 77, 4*g - k + 28 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (12\/10)\/((-119)\/(-170) - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + o = 1, 59 = -5*x - 2*o + 19. Let u(w) = -w**2. Let f(h) = 8*h**2 + 2*h - 1. Give x*u(c) - f(c).\nAnswer: -2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 4. Sort -2, d, -7 in descending order.\nAnswer: d, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1458))\/sqrt(6))**2 + 1*sqrt(147)*2 + ((-2*sqrt(3267) + sqrt(3267))\/((-1*sqrt(108))\/sqrt(12)))**2*-3.\nAnswer: -846 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -65  (b) -2\/5  (c) 2\/669  (d) 0.2  (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 2*g = 48. Let t be -4*(3 + -2)*1. Let u = g + t. Solve -h = -5*b + 24, 6*h + u = 3*h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 16 = 3*j, 4*j = -0*x - 5*x - 42. List the prime factors of 5\/(x\/(-84)) + 2.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9b - 123?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 270561767 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 568475 is divided by 2121?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 220318 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283921936?\nAnswer: 2, 23, 771527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 331  (c) -1.55  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7*(3\/(-18))\/((-25)\/(-75)) - -3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 38, 0.8, -5.\nAnswer: -5, 0.8, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 48834590 - -6813\nAnswer: 48841403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -186284340 by 31047390.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -12714*f + 343352. What is d(27)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -770.0722 in 3, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -3*s + z, 2*s + 68 = 6*s + 4*z. Suppose 9*l = -s*l. What is the nearest to l in -3\/4, 7, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*j**2 - 878 + 371 + 508 + 2000*j**4 - 40*j wrt j.\nAnswer: 48000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.029?  (a) 7  (b) 3  (c) -2\/5  (d) -1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - (8 + -4)) + -13 + (1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 12 - 2 = 0. Suppose -160 = -0*v - 4*v. Calculate the greatest common factor of v and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010100 - 11111011100011?\nAnswer: -11111101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17101763\/37760388 + 1\/273626. What is the common denominator of d and -145\/24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 3*a**2 + a - 1. Let r be t(-3). What is the units digit of (-2)\/r*(75 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15648 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 872109 >= 872110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y\/y**0*y*(((y\/y**(-10))\/y)\/y)\/y)**(-2\/9)\/((y**1*y)**(5\/2)*y*y\/(y**8*y)*y*y**(3\/8)\/y) assuming y is positive.\nAnswer: y**(-25\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-7018)\/880 - 18\/(-2) and ((-1)\/12)\/(5\/(-57)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**18)\/p**(10\/11))\/(p**(-1\/17)\/(p\/(p*p**(5\/3)*p)*p*p)) assuming p is positive.\nAnswer: p**(9808\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 924 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 292, 305, 332, 373, 428, 497?\n\"Answer: 7*g**2 - 8*g + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 467 + -465. Is (135354\/9)\/(3\/9*h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + n**2 + 3*n**2)*(-3 - n**3 + 3) - 3*n**5 + 2*n**5 + 2*n**5 - 2*n**3 + 2*n**3 - n**5 + (0*n**3 + 2*n**3 - 5*n**3)*(24*n**2 - 22*n**2 + 25*n**2).\nAnswer: -83*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o - 6. Give a(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 630 a factor of 1977570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*x - 200 = 0. Let l be 1\/(-6) - x\/(-12). Suppose 4 = d - l. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 l, and 1 j when three letters picked without replacement from {j: 2, l: 1, x: 1, a: 3, t: 6}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2877998051.\nAnswer: 17, 97, 193, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + -10001001001101001000001?\nAnswer: -10001001001101001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 7*b**2 - 8*b - 5. Let i be u(6). Let d = -17 - i. Let v(n) = n**2 - n + 707. Is v(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16350655 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*r - 602 = -15*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/18)*j)**(-9)*(j\/(j\/(j*j**(-8\/7)*j)))\/(j\/j**(-8)*j) assuming j is positive.\nAnswer: j**(-261\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + l. Is l > 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 7*g**2 + g. Let s be y(-1). Let a(w) = 97*w + 7795. Let z be a(-73). What is the greatest common divisor of s and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and ((-7455)\/(-735) + 1\/(-7))*(-29)\/(-5).\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4159762.586 to the nearest one thousand.\nAnswer: 4160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, f: 1, g: 2}. What is prob of picking 1 f and 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 117 + 37 = 0. Let w = 45 - d. Let x be w - 0\/((-16)\/4 + 1). Solve -x*m - 14 = -r, 6*r - 2*r + 4*m - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 o, and 1 t when four letters picked without replacement from {t: 1, x: 4, o: 5, y: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -z**3 + 16*z**2 + 105*z = 0. What is z?\nAnswer: -5, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -27*t + 5. Let i(j) = 28*j - 4. Let o(a) = 7*i(a) + 6*k(a). Let f(x) = 34*x. Let d(n) = 4*f(n) - 3*o(n). Differentiate d(v) wrt v.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*w + 183 = 1823. What is the least common multiple of w and 215?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14508661?\nAnswer: 14508661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t**2 - t - 2. Let z be m(-1). Suppose 0 = -4*b + 4*q + 2124, b + z*q - 546 = 9*q. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -250*o**2*y - 2344*o**2 wrt y?\nAnswer: -250*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5472.47 and 1?\nAnswer: 5472.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 11050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 101892041 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**2 - 506678380*z - 12836149037971220.\nAnswer: -5*(z + 50667838)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9568 and 23608?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -61 from -64.204.\nAnswer: -3.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1323?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*k**2 + 198*k - 50.\nAnswer: 2*(k + 25)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 - 2*b**2 - 2. Let c be l(-3). Suppose -p - t + 19 = -c, -t + 54 = 2*p. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30581227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*l + 0*l - 6*l to the form j*l + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-2 + 9) - 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 49\/2 - 241\/10. What is the nearest to o in -0.4, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-1 - 2)*12\/(-4). Suppose -5*h = -4*c - 33, -c - 21 = -y*c - 5*h. Let p(a) be the first derivative of -7*a**2\/2 - 2*a + 69. Give p(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 5*c - 36, 19 = -5*w + 5*c - 1 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/233 in 1604, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 17684?\nAnswer: 123788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**11\/m)\/m*(m\/m**(19\/5))\/m)\/((m\/(m*m*m*m*m**10*m*m))\/(m\/(m**(-5\/6)\/m)*m)) assuming m is positive.\nAnswer: m**(721\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 332 a factor of 1504918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 56 - 34. Solve -5*m + y - 7 = 19, -v = 4*m - 2*y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -3  (b) -26  (c) 139  (d) 2\/13  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.427 and 189.1?\nAnswer: -80.7457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -10*f + 53. Let a be j(5). Find q such that -10*q**2 + 4*q + 0*q - 2*q - 2*q**a + 10 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 8 = -g. What is the third smallest value in g, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7350 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 162483*v - 40621.\nAnswer: (v + 40621)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -n**6\/180 + n**5\/60 + n**4\/6 + n**3\/2 + 2*n. Let q(c) be the second derivative of v(c). What is q(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 12:30 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**3 + 0*r**3 - r**3 + (-4 + 4 - 2*r)*(-28 - 1312*r**2 - 1329*r**2 - 15*r + 2643*r**2) in the form n + l*r**2 + m*r + d*r**3 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 966646?\nAnswer: 2, 483323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 11:24 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 96 and 46593948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -5)*(-8)\/(-24) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.372 + -0.02?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + 0)\/(936\/(-351)). Put -5, -12\/5, o, 0.2 in descending order.\nAnswer: 0.2, o, -12\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -614*w = 1149 - 464 + 2999 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/7 + 472*h\/7 - 470\/7.\nAnswer: -2*(h - 235)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 3*i - 8. Suppose 0 = -2*m - 0 + i. Solve -m*q = q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42784 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 773 - 426. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1139 + 915 = -14*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 36*p**3 + 5*p**2\/2 + 10*p + 28. Is d(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.16101 and -6182?\nAnswer: 995.36382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-324)\/3*(35\/7 - 4)*-6. Let h be (-970)\/8 - (-2)\/8. Let x = j - h. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 8:33 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/67, 11979, -4.\nAnswer: -4, -1\/67, 11979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2040 = 324*t + 2172 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -6076 divided by 62\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, d: 11, x: 1, u: 3}. What is prob of sequence xood?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 6*a - 12. Let s be w(3). Let t(j) = 8*j**2 - 2*j - 6. What is the smallest common multiple of 24 and t(s)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*(-423)\/7285*(-4)\/18.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**6\/40 - m**5\/30 - m**4\/8 + m**3\/3 + 6*m**2. Give d(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v = -6*v - 3. Suppose a + 7 = 5*y, -5*y = -4*a - v + 3. Suppose 4*k**y - k**2 + 0*k**2 + 4*k + 2*k = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -986*q + 206077. Calculate f(209).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 572143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.92 - -0.08. Let q = u - 4.4. Let d = -94.7 + 95. Put q, d, 2 in increasing order.\nAnswer: q, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2*7)\/(-6 + 7 + -3). Let z(h) = 10*h**2 + 9*h + 15. Does 31 divide z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 182898, -17 in increasing order.\nAnswer: -17, -6, 182898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100111111 (base 2) in base 7?\nAnswer: -3626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -945.549 - -946. Let x = l + -0.3. Round x to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -4, 4, -8, -2, 22.\nAnswer: -41, -8, -4, -2, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-22176)\/(-88)*((-75)\/(-175))\/((-6)\/(-7))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.116 + -5.115996609. What is r rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15382*l + 1800 = -15442*l for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -16*q - 159. Give w(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**4\/2 + 4*o**3\/3 - 5*o**2\/2 + 3*o + 6. Let v be g(3). Is (-10)\/v*(245 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -3.901.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(416)*1*3 - (sqrt(416) + (-5*sqrt(416)*-2 - sqrt(416)))))\/((sqrt(384)\/(sqrt(16)\/sqrt(2)))\/(sqrt(72)\/(sqrt(12) + sqrt(48)))).\nAnswer: -28*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 - (4 + 2*-4). Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*d - 2*a, 0*d - 3*d - 4*a = -11. Put 0, d, -2 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 88 = -4*v + 4*d, -3*v + 5*d + 76 = 0. Let w(h) = h + 23. Let p be w(v). Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 30 - -442?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-46)\/(-6) + (-168)\/(-18) + -10. Solve -11 = p - x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1200759, -1200801, -1200843, -1200885, -1200927, -1200969?\n\"Answer: -42*k - 1200717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/2*273\/273)\/((-4)\/72).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1334*d + 373*d**3 + 4*d**2 + 74 - 374*d**3 - 4*d**2 - 1329*d.\nAnswer: -d**3 + 5*d + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 148485705733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 6 - 2*x**2 + 0*x**2 to the form l*x**2 + a*x + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13299823 + 0.0917.\nAnswer: 13299823.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 50499791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*f - 674 + 377. Let b(z) = 7*z**2 - 4*z - 4. Let d(u) = -57*u**2 + 33*u + 33. Give f*b(k) + 4*d(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*m = -56*m - 168. Calculate the highest common factor of m and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 169695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 - 3. Suppose 3*b + 1 = 22. What is the least common multiple of b and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 710986355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 46121913197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-6))\/((-20)\/16).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3566422?\nAnswer: 2, 1783211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 2*y + 123 = 3*o, -2*y + 129 = 3*o. Suppose -2*q + x = -27, -q - q - 5*x = -o. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 4840*l. Let w(x) = -23*x + 3. Calculate b(w(i)).\nAnswer: -111320*i + 14520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2 + 1199*u - 138030 = 0.\nAnswer: 129, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-23)\/w**(2\/3))\/(w**11*w**(-23)))**(-4\/21) assuming w is positive.\nAnswer: w**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 - 4 + 7)*(10 - 10 - 5*y)*(y**2 - y**2 - 2*y**2) to the form q*y + k*y**3 + n*y**2 + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v - 6*v - 6*v + 5*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express d**4 + 4*d**3 + 0*d**3 - 2*d**3 + 2*d + d**2 as l*d**2 + o*d + u*d**4 + z*d**3 + h and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(17) + (sqrt(34)*-2 - sqrt(34))\/sqrt(2) - sqrt(136)\/sqrt(2) - (-1*sqrt(17))**2*-6*1) + -1.\nAnswer: -4*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61609*n + 61603*n = -36. Solve -5*c + n + 9 = -3*b, -4*b - 4*c - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 9:08 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -3*c**8\/1120 - c**7\/2520 - c**6\/720 + c**5\/120 - 71*c**4\/12 + 44*c. Let q(n) be the third derivative of k(n). What is q(1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.13996386276812 and 0.2.\nAnswer: 0.33996386276812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -22746983000 to the nearest one million.\nAnswer: -22747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -4*k - 3. Calculate u(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12070865 from -134076.\nAnswer: -12204941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 21*l + 35. Give a(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7519.15 less than -1977283?\nAnswer: -1984802.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22424 is divided by 22412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3573, -6369, -9169, -11973, -14781, -17593, -20409?\n\"Answer: -2*p**2 - 2790*p - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7110 is divided by 3527?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15260646101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 276769 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 11368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2124887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.999 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + 0)*(0 + -1). Solve z + v*z = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of p**4 - 552578*p**3 + 4812344*p**2.\nAnswer: 24*p - 3315468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2. Let x(c) = -6*c. Let k(o) = 4*o. Let z(i) = 5*k(i) + 4*x(i). Give z(a(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(96) + 1*sqrt(96)))\/(sqrt(2) - 5*sqrt(4)\/sqrt(2)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y + 46 = -20. Let v(l) = -7*l**3 + 3*l**2 - 5*l - 3. Let h(a) = 8*a**3 - 4*a**2 + 6*a + 4. What is y*v(k) + 5*h(k)?\nAnswer: -2*k**3 - 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o - 44. Suppose -2*l - l + 69 = 0. Let n be w(l). Solve n = -3*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43302672 divided by -40432?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**3 - 2*c**4 + 0*c**3)*(c - 4 + 2*c - c) - 3*c**5 - 4*c**5 + 0*c**5 + (-3*c + 4*c - 2*c)*(c - c + c**4) + 3*c**5 + 0*c**5 - c**2 - 2*c**2.\nAnswer: -9*c**5 + 8*c**4 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3242*f**3*o**2 + 559*f**3 + 2*f*o wrt o.\nAnswer: -6484*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -749.7 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00025168 to 6 dps.\nAnswer: -0.000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + w - 3 + 0 + (2*w - 2 + 2)*(-5 - 5 + 4))*(-1550 + 191 + 474).\nAnswer: 9735*w + 1770","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9996 and 8064.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 81528079309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/111)\/((-371)\/(-318)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.521+0.1\nAnswer: -0.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*x - 6 - 14, -4 = 4*y + 3*x. Let u(f) = -3*f + 1. Suppose k - 10 = -3*d + 5*k, -2*d - 1 = 5*k. Let s(b) = 2 + b - d. Calculate y*s(w) + u(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 4:34 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -452422*r + 799722 wrt r.\nAnswer: -452422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 501816225 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1 - -3.9. Let h be ((-2)\/30)\/((-300)\/(-72) + -4). Sort -3, -4, h, c in descending order.\nAnswer: c, h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 141 and 2787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*x**5*z**3 - 3*x**5*z**2 - x**2*z**3 + 67*x**2*z**2 wrt x?\nAnswer: 480*x**2*z**3 - 180*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 93617 divided by -1\nAnswer: -93617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -363*a**4*h*j - 3*a**3*h*j + 3*a*h*j - a*h + 2*a*j - 2*a - 98*h wrt a.\nAnswer: -4356*a**2*h*j - 18*a*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 78*p - 1328. Determine t(24).\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (42\/(-8))\/(12\/(-48)). What is the least common multiple of 255\/21 + (-3)\/v and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/((-48)\/13248*23)*2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 104610 by 20922.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -36\/7. What is the nearest to 2 in j, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -123.2 + 2.2. Let m = -127 - u. Which is the second smallest value?  (a) m  (b) -2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 6472*z**3 + 42*z**2 + 31*z - 125. Let y be b(-19). Round y to the nearest 100000.\nAnswer: -44400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 121*a - 123*a + 5*c + 166258, 3*a - 3*c = 249423. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*l, -4*k - 12*l + 5750 = -13*l. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 264720 and 52944?\nAnswer: 264720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -5.959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117636 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -8 - -8 - 0\/2. Suppose -d = 5*b - 60, m*d - 2*b - 218 = -4*d. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 16. Let k = z + -3. Let i = 0 + 0.1. What is the nearest to k in 4, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1159 + 706. Let k = -1045 - g. Let p = k - -1089. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -89999*r - 1. Suppose -6*b - 39 = 3. Let o = b - -8. Let h be u(o). What is h rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.615022 minutes to microseconds.\nAnswer: 96901320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12, 22\/9, -4, -0.4, -0.0287?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 <= -38\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1914504?\nAnswer: 2, 3, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -5*b - 2532, -4*k - 11 = -3. Let l = b + 8671\/17. Calculate the common denominator of -2\/23 and l.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -28*f. What is n(3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 2*z**2 + z**2 - 2*z**2 - 3*z**2. Let l(n) = 9*n - 4. Let x(j) = -j + 1. Let p(t) = -l(t) - 4*x(t). Determine p(a(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4285.\nAnswer: 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 53*p**2 - 46*p - 318. What is the tens digit of m(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2585*o**3 + 15925*o**2 - 2480*o - 60 = 0.\nAnswer: -1\/47, 2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -37*r + 90 + 52 + 80 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.988 + -0.088. Let i = w + -11. Which is the third smallest value?  (a) 0.5  (b) i  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6464 + 6466. Solve 5*v + 4*o = 13, d*o - 9 = 5*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of -6*a**4 + 8*a**3\/3 - 2*a**2 + 3. Let c be d(-1). What is c rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(((-860)\/(-120))\/43)\/((-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d**3 - d**2 + 9*d - 4. Calculate w(4).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2550068 divided by -37501.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/5 + 3033\/540 + -5 and 18\/(-172)*(2 - -9).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of -81*l**6\/100 + 18*l**5\/25 - l**4\/4 + 2*l**3\/45 - 7*l**2 - l. Determine c so that v(c) = 0.\nAnswer: 1\/9, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 426, 1133, 2312, 3963, 6086?\n\"Answer: 236*y**2 - y + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 9:26 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -4*z**6\/15 - z**5\/60 - z**4\/24 - 2*z**2. Let p be r(-1). Let v = 20 - p. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of 0*t**3 + 50653\/16*t**4 - 4107\/40*t**5 + 0*t - 1\/140*t**7 + 14 + 111\/80*t**6 - 2*t**2. Solve c(a) = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -24719, -24710, -24687, -24644, -24575, -24474?\n\"Answer: l**3 + l**2 - l - 24720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 - 35. Sort 2, j, 7.\nAnswer: j, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/34224 and 1\/16790.\nAnswer: 12491760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*o + 949 + 2691 = 0. What is the least common multiple of 11 and o?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -24 - (2 - 1 - 15)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/((-840)\/585))\/((-18)\/(-21))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -5. Let o(f) = a - 4 - f + 6. Give o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4558 + 4556. Sort 1, -3, -1809, h in descending order.\nAnswer: 1, h, -3, -1809","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 5:05 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 + 12*i + 12. Let g be k(-11). Let z be (g - (-1 - -2)) + 2. Solve z*b = 4*a + 20, 0*b - 4*b = 3*a + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/18)\/((-4)\/102). Let n = 18 + a. Suppose 7*g = 13*g - 12. Put g, n, -4 in decreasing order.\nAnswer: g, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*p - 136*p = r + 12, -p = 5*r - 3. Is p < -121\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.5, 2003, -10 in increasing order.\nAnswer: -10, -0.5, 0.1, 2003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n + 1. Let q(t) = -t. Calculate -g(r) - 6*q(r).\nAnswer: 7*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27378 is divided by 27283?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-7) + (-2)\/(-56)*8. Suppose -k + 3 = -t*k. What is the lowest common multiple of k and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bqqb when four letters picked without replacement from {b: 10, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 16 + 14. Let t(n) = -n**2 + 9*n - 2. Let s be t(b). Solve -40 = 6*j - j + 4*v, 0 = j - 4*v - s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*q + 44. Calculate the remainder when 25 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, l: 6, x: 2, y: 4, h: 3}. What is prob of sequence lhl?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1225*i**3 + 2*i**2 - 20*i - 56. What are the prime factors of d(-3)?\nAnswer: 23, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 43. Which is the nearest to 0.2?  (a) l  (b) -3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 310302345 - -5?\nAnswer: 310302354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -27 + -2 + -10 + (3 - 2 - (-7 + 8))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u - 6*u - 2*u)*(9*u - 10*u**2 - 4*u + 7*u**2).\nAnswer: 18*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**2 + 4. Let x(q) = -2*q - 3. Determine 3*p(h) + 4*x(h).\nAnswer: -6*h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmmwwwwmwmm. What is prob of picking 3 m?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-16)*g\/g**(-2))\/((g*g**(19\/5)*g)\/g**9) assuming g is positive.\nAnswer: g**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19\/7 in -2, 4, 1\/2, 2\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1886336 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6284965391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 29*v + 81 = 25, -t - 5*v - v = -3*v - 14 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3706096 is divided by 248.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - ((-8 - -9) + -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 33294\nAnswer: 1\/33294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*n*q**5 + 633*n*q**2 - q**6 wrt q.\nAnswer: -180*n*q**2 - 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*u - 9206 - 30134. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -4*z + 158. Suppose -24 = -2*l + 96. Let v be 7470\/l + (-1)\/(-2). Calculate the highest common factor of z and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2334262 (base 7) in base 13?\nAnswer: a402c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 105 = -2*m - 223, 5*m - 10 = 0. Calculate the remainder when f is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, y: 2, v: 1, i: 2}. What is prob of picking 1 y, 1 m, and 2 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8677?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4*o = 0. Suppose -a + 255 = 5*x, 5*a = 4*a - x + 235. Suppose o = u + 4*u - a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 123 divide 234070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, b: 1, y: 1}. What is prob of sequence cbc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g = -15 + 85 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 57\/1710 + (-366)\/180?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -20031301001 (base 4) to base 9\nAnswer: -4042078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4\/2 - 26*z**3 + 304*z**2 - 408*z - 2232.\nAnswer: -(z - 6)**2*(z + 2)*(z + 62)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*z - 282 = -2*l, 4*l + 4*z = 376. List the prime factors of l.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75 (base 10) to base 13.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5916.097 rounded to the nearest 10?\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 51966.8 hours in nanoseconds?\nAnswer: 187080480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 580 and 11028874.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.146453 tonnes to micrograms.\nAnswer: 4146453000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t - 3. Let u be p(5). Suppose u*k + 944 = 4*i, -206 = -i + 3*k + 40. What is the greatest common factor of 26 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 17*c + 87. Let i be u(-5). Let w(j) = 295*j + 1. Let k be w(6). Find the second derivative of 6*v - 37*v**i - 1771 + k wrt v.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 1 + 7 = i, -i = d. Let u(q) = -q. Let x(f) = 4*f + 3. Let b(r) = -3*u(r) - x(r). Let z be b(-5). Solve -20 = -z*o - i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 4*c - 4, -3*f = 2*c - 3 + 1. Let l be 2013\/22*(-4)\/6. Let n = l - -61. Solve -v - 3*k - 2 = f, 5*v + n*k = 5*k - 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + (sqrt(304) + 1)**2).\nAnswer: -1848 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k**2 - 22*k**2 - 8*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.512301 times -39\nAnswer: 19.979739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**7\/945 - 11*q**6\/540 - 11*q**5\/90 - 37*q**4\/108 - 14*q**3\/27 + 1945*q**2. Find w such that b(w) = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1986 - 1949 - (-4 + 1 + 50).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 588525.3 months to centuries.\nAnswer: 490.43775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (4 - (-1 + 0 - (68 + -79))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.201 * 479.2\nAnswer: -96.3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4135*f**6*y**3 - 36*f**3*y**3 - 5*f**2*y**3 - 29021*f**2 - 2*y**3 - 2 wrt f.\nAnswer: -496200*f**3*y**3 - 216*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 287\/91 - (-4)\/(-26). Suppose 6 = p*d, -d + 36 = 2*x - 36. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 2379*x**4\/4 - 232*x**3\/3 - 2*x + 3217. What is the third derivative of u(y) wrt y?\nAnswer: 14274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + ((-2 - -8) + 9 - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*n + 28*n - 5*n to the form r*n + q and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 90817 and -9.\nAnswer: 90808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 6*g**2 - 19*g + 13. Let h(m) = -3*m**2 + 9*m - 6. Let c(j) = -6*d(j) - 13*h(j). Let o be c(3). Let v be 3\/(-5) + o\/5. Is v >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 4*n - 2*n)*(3*n - n + 6*n)*(0 - 2*n**2 + 0 + n**3).\nAnswer: -16*n**5 + 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 5*u**2 + 0 + 1\/240*u**6 + 7\/240*u**5 + 1\/12*u**3 + 7\/96*u**4 + 0*u. Determine s, given that h(s) = 0.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 41*q + 2 + 13*q - 4*q to the form u*q + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 439894343 divided by 161?\nAnswer: 2732263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 96 - 36?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -2, 22 in decreasing order.\nAnswer: 22, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 133b80 (base 13) to base 11\nAnswer: 29883a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - t - 15, 0*x + 5*t + 30 = 2*x. Suppose 4*y + 3 = -5*k, 0 = 3*k - 5*y + 2*y - 9. Solve k = -4*f - x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3 - 9*s - 13*s + 29*s. Let t(f) = -4*f - 2. Determine 3*m(j) + 5*t(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 186*i**3 - 98*i**3 - 119*i**3.\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435*u + 145*u - 37926 = -22*u for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 - 2*v**2 + 3*v**2 - v**3.\nAnswer: -v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.02432 - 0.0267368. Round l to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -2*w**4\/3 - 3*w**2\/2 - 9*w - 1. Let b(s) be the first derivative of r(s). Differentiate b(m) with respect to m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-65 + 65 - 117*k)*(5 - 5 - 2*k)*(-2 + 1 - 4).\nAnswer: -1170*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-27)\/18)\/((-2)\/164*1).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11\/125, 0.2, -5\/2, 2\/7, -17\/6 in ascending order.\nAnswer: -17\/6, -5\/2, 11\/125, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/180 and -101\/2551608?\nAnswer: 12758040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77*f + 149*f - 46*f - 73*f.\nAnswer: -47*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(22\/3)\/s)**(8\/9)\/(s\/(s*s**(1\/28)))**11 assuming s is positive.\nAnswer: s**(4553\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2 - 19*s + 35. Let c be r(12). Let u = -83 + c. Calculate the lowest common multiple of (16\/6)\/(1\/3) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/6)\/((-3)\/18). Factor 5*k + 3*k**5 + 2*k**5 - 4*k**o - 4*k**4 + 2*k**2 - 6*k**5 + 2.\nAnswer: -(k - 1)*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -2*n + 9, -20*b = n - 18*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20246164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - (-1 + 0 + 3). Suppose d = -a + 4*a - 15. Suppose 0*q = a*q - 40. Calculate the greatest common factor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of x**11\/332640 - x**5\/60 + 3*x**2. Let t(u) be the third derivative of q(u). Factor t(p).\nAnswer: p**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 3. Suppose 3*u = -4*b + 5, 4 = 3*b + 7. Suppose 3*k + 83 - 89 = -3*c, 0 = -u*c - 5*k. What is the smallest common multiple of c and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffsffssfsfsfffssf. Give prob of picking 2 f and 2 s.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -1185?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/147, -0.5, 0.5, 3 in decreasing order.\nAnswer: 3, 0.5, 2\/147, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 8*u - 189. Determine a(9).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from guujgsssjgugubgs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -39750 times 0.2?\nAnswer: -7950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*u + 27 - 65 = -0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684)*1 + sqrt(912)\/sqrt(3))**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q\/((q**(2\/5)*q)\/q))**(1\/4))**14)**42 assuming q is positive.\nAnswer: q**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -2. Suppose u*o = 6*o + 49. Suppose o*p = 16101567 - 4201567. Round p to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3308, -12488, -27788, -49208?\n\"Answer: -3060*f**2 - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h. Let r(z) = -56*z - 4 + 52*z + 4. Give v(r(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-56) - -12*7\/294?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 650411*r - 149970?\nAnswer: 650411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000023318041 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(147)\/(1*sqrt(3)))\/sqrt(7).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 116 = 5*k, 40 = -78226*k + 78225*k - 5*p for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 4*f**2 - f - 2. Let x be r(3). Suppose -310 = -x*j + 22. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3098247.\nAnswer: 3, 41, 25189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 82565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b - 46. Let r(q) = 9*q. Calculate r(p(g)).\nAnswer: -9*g - 414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 394.472 - -96848.338. Let y = t - 97244.6400101. Let z = y + 1.83. What is z rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2118033 take away 2297.4678?\nAnswer: 2115735.5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 - t + 166. Let m = 86 + -86. What is the units digit of u(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -180*r + 179*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4530.46 nanoseconds to seconds.\nAnswer: 0.00000453046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 PM and 10:01 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4 + 5 + sqrt(175)*-3*6 + sqrt(175) + -4 + 4))**2.\nAnswer: -1530*sqrt(7) + 50656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 108 and 18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(6\/13)*t*t*t**(1\/5)*t)**(-2) assuming t is positive.\nAnswer: t**(-606\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21400 (base 5) to base 3.\nAnswer: 2000122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.3, -49\/6, -4095?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*n**3 + 34 - 34 + (-7*n + 2*n + 3*n)*(-3*n + 3*n + n)*(-2*n - 3*n + 3*n) to the form m*n + u + v*n**2 + j*n**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/57)*o**3 assuming o is positive.\nAnswer: o**(170\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.8488 - 0.6488. Is r at least as big as -282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -14, -40, -98, -200?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8880\/323903 or 1?\nAnswer: -8880\/323903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*r = 8. Let v be r\/18 + (-1)\/18. Suppose 2*q = -3*q + 3*q. What is the third smallest value in q, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 251323 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (1998\/(-351))\/((-84)\/39 + 2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9597857 or 1?\nAnswer: -9597857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001466254 rounded to seven decimal places?\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18733592 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17\/31 or 503?\nAnswer: 503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1\/5, 0.3, -14\/9, -73?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 11*a**2 + 16*a + 12. Let r be j(2). Suppose -5*m + n + 350 = 0, 0 = -2*m + 3*n + 81 + 46. Let x = m - r. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1129, -2168, -3207, -4246, -5285?\n\"Answer: -1039*l - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 115 and 98624?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + 8 - 23 + 4*j.\nAnswer: 4*j - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 112981*p**3*v**2 + 45*p**2*v**2 - 3*p**2*v - 6*p**2 - 5*p*v wrt p?\nAnswer: 677886*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, -2, -1\/30, 7, -2\/9.\nAnswer: -2, -2\/9, -1\/30, 0.02, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -18  (b) -0.1  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-12*(-6)\/1134)\/((-14)\/(-343))\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(3\/1))\/(-1)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1952654393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 12*x**2 - 104*x - 31. Calculate w(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4747 and 100489243.\nAnswer: 4747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.18  (b) -4  (c) 2  (d) -0.103  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(2\/95)\/n)\/n)**(-4\/19)\/((n*n**(-21)*n)\/n)**(11\/9) assuming n is positive.\nAnswer: n**(400448\/16245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, v: 3, l: 1, i: 1, c: 3}. Give prob of picking 1 c and 1 v.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193*d = -142*d - 459. Calculate the remainder when 926 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5079871009?\nAnswer: 71, 71547479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (6 - (-1 + (-11 - -4)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 135*o**3 + 4*o**2 + 4. Let i(s) = -48601*s**3 - 1441*s**2 - 1441. What is -4*i(y) - 1441*n(y)?\nAnswer: -131*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -4. Suppose -4*k = -11 - f. Suppose -4*p + 2*a + 52 = 0, k*p + 4*a - 3*a = 34. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a microgram in nanograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 2:56 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) 0.01  (b) -5  (c) 5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32 - 45. Let b(c) = -c**3 - 13*c**2 - 6*c - 17. What are the prime factors of b(v)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.012*11.52.\nAnswer: -0.13824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p - 12*p - 4 = 0. Let i(q) be the first derivative of 7*q**4\/2 - q**2\/2 + q + 2. What is i(p)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2963896 to the power of 1\/2, to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 760?  (a) -3\/4  (b) -2.3  (c) -4  (d) 0.4  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -267, -923, -2015, -3543, -5507, -7907?\n\"Answer: -218*t**2 - 2*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 w, and 1 k when three letters picked without replacement from owwodwkkwkodw.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 48710 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -103, 5, -8, -3359 in ascending order.\nAnswer: -3359, -103, -8, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/7*z**2 - 7581 - 114*z.\nAnswer: -3*(z + 133)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(2\/3))\/m)\/m)**(-38)\/(m**1)**(-3\/4)*(m**(-2)*m)\/(m\/((m\/m**0*m)\/m))*m**6*m\/m**(-3\/2) assuming m is positive.\nAnswer: m**(859\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, 28, -53, 25, 4, -4 in decreasing order.\nAnswer: 28, 25, 4, 3, -2, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/351 and 37\/143?\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 123 = -3*m, 2*d + d + 3*m = 75. Suppose -3*k - 2*f - 4 = -49, -5*f = -3*k + d. Calculate the remainder when 51 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31249 is divided by 15501.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151*h + 320*h + 5545 = 1587634. Calculate the remainder when h is divided by 65.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**5 - 40*o**4 + 86*o**3 - 44*o**2.\nAnswer: -2*o**2*(o - 1)**2*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 91120.695 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*b + 77*b + 240 = 24*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 124 - -155340?\nAnswer: 155464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by 41.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -9, 21, 4, 7, -4.\nAnswer: -9, -4, 3, 4, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -878067000 to the nearest one million.\nAnswer: -878000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.3 from 0.04719453920469.\nAnswer: 0.34719453920469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/5, -3\/7, -84, 0.9 in increasing order.\nAnswer: -84, -3\/7, 3\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3912 divided by -652.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313673317 is divided by 2428.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/4 - ((-20727)\/2)\/7. Suppose -i = -5*z + d, 2*d + 803 = 2*z + 217. Calculate the greatest common factor of z and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 5*g + 1 + 6 = 0, 3*m + 7 = g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4220345 to the power of 1\/2, to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 178 - 127. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59415 is divided by 4947?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 268 - 250. Suppose y*v - 915 = 13*v. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 - 366 = 3*y. Let f = -41 - y. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.23 take away -3.26868?\nAnswer: -53.96132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 138*u**2 - 646*u + 647. What is v(1)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 39812597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n + 4 - 4 - 10*n as a + m*n and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 5*d = 5*o + 40, -5*o - 45 = 5*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*v = 15, v - 42 + 11 = 5*j. What is the least common multiple of 2 and (j\/(-7))\/((-42)\/(-196))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 56.5\nAnswer: 58.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -7*l**2 + 2*l + 2. Let z(d) be the third derivative of d**5\/10 - d**4\/12 - d**3\/6 - 3*d**2 - 4791. Suppose -5*k + 7 = -8. What is k*x(u) + 4*z(u)?\nAnswer: 3*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 90983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -130835 by -5.\nAnswer: 26167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**4\/6 - 5*o**3\/6 - 2*o**2 - 13*o + 1. What is l(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in 0.11, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 160038, 4, -4\/3 in decreasing order.\nAnswer: 160038, 4, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 42 - 18 - 13 - 2*x**2 - 15 + 6*x = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaarararaaarrrrrar.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -33*q + 23*q. Suppose 0 = -3*i - 7 - 2. Let a = -6 - -8. Put a, q, i in ascending order.\nAnswer: i, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 29. Suppose -y = -0*a - 3*a. Suppose 5*d = 2*l, -14 - 17 = 3*d + a*l. Let i(b) = 3*b**3 + 3*b**2 - 2. What is i(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 53*s**2 + 7*s + 13. Let m be c(-3). Let k = -464 + m. Let d be (-2)\/4*-4*1. Solve k = f - d*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 92 - 108. What is the nearest to 0.1 in s, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.55 - 0.35. Let p be (-2)\/8 - 3\/20. Let w(l) = l - 2. Let u be w(0). What is the nearest to p in u, a, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0041883 + -0.0042. What is z rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -153\/175, -1\/10, -2 in increasing order.\nAnswer: -2, -153\/175, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74926, -74937, -74948, -74959, -74970?\nAnswer: -74981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b**3 + 97*b - 97*b + 7*b**3.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69, 76, 3, -156, -407, -756, -1209?\nAnswer: -1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {a: 6, s: 11, g: 1}.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 7:26 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94518.59ns to microseconds.\nAnswer: 94.51859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 35)*(-135)\/(-4950)*-10 + 61\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + 42 = 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a + 2. Let w(v) = 15*v - 6. Let z(u) = u. Let k(n) = w(n) - 12*z(n). Calculate -8*c(o) - 3*k(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102*6\/45*5 and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -397 - -386 - ((-5 - 0) + (4 - 0) - -9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 204 and 4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 59425 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of 2*n**2 - 13. Let c(p) = 0*p**2 - 2*p**2 - p**2. Determine t(c(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -279448 and 0.\nAnswer: -279448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 + 0)*(2 - 4 - 1)*(0 + 0 - 2*j**2 + 17*j**2 + 200 - 200 + (-j + 2 - 2)*(3*j - 4*j - j) - j**2 - 1 + 1) to z*j**2 + h*j + c and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + 7. Let a be c(4). Let q(w) be the third derivative of 1\/120*w**5 + 0 + 1\/96*w**4 - w**2 - 1\/160*w**6 + 0*w**a + 0*w. Solve q(k) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -3*c - 0*c + 9, -843*z + 839*z + 5 = 96*c + 217 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 90\/(-210) - (2 + 64\/14). Let n(v) = v**2 + 5*v - 8. Give n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3557 + 10184 = -1057*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 8*q + 6. Let g be n(8). Sort 1, g, 2 in increasing order.\nAnswer: 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 356638067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 23 = 3*c, 2*g = -0*c + 5*c + 28. Let t(w) = -5*w + 2*w + 2 + 4*w - 10. Calculate t(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) -0.01  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 17 = -0*s + s, 5*s + 22 = a. Suppose -a = -2*p + p. Solve 4*j + 5 + p = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/12*(-9 + (-1230)\/(-140))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/i**(-4))\/i**(1\/5))\/((i*(i**5\/i)\/i)\/(i*i**(2\/7)*i)))**24 assuming i is positive.\nAnswer: i**(3432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1312, -2600, -3898, -5212, -6548, -7912, -9310?\nAnswer: -10748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-3)*30\/(-48)*18. What is the highest common divisor of k and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 90, 96, 84, 48, -18, -120?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -5*y**2 + 75*y + 23. What is w(12)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3056*c + 1595*c + 26671 - 236 = -1150*c for c.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -34*g**2 - 950*g - 1619. Give d(-26).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -6*w. Let m(c) be the first derivative of c**3\/3 - c**2 - 3*c - 4. Let v be m(-4). Let h(z) = -z. What is v*h(i) - 3*f(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6187*f**3 - 17*f**2 - 131 - 119 - 53*f**2 - 130 + 397 wrt f.\nAnswer: 37122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -215 + -3521?\nAnswer: -3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k**3 + 5*k**2 + 5*k + 5. Let u(c) = -14*c**3 + 8*c**2 + 8*c + 8. Suppose 22*l - 25*l - 24 = 0. Determine l*q(r) + 5*u(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.20844 + 0.2100479. Round r to four dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - -2)\/((-9)\/(-117)). Suppose 5*v - 4*v - g = 0. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*c**5 + 0*c**3 + 0*c**3 + (-394 - 174 - 290)*(-3*c**5 + 0*c**5 + 2*c**5).\nAnswer: 860*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 461243 to the power of 1\/2, to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2.8+32\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4491163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (-6 - 2)) + 11 + 27 + -65 + -30.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 PM and 9:54 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 787 a factor of 1410667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476 = -2*x + 2*z + z, z = -x + 233. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1655050 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 40, -0.5, -5, -0.2, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 917 - 9*p - 25*p - 911. Let w be i(-9). Suppose 2*t - 3*y - w = 2*y, -t + 182 = 4*y. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**5\/20 + 4*c**4\/3 + c**3\/3 - c**2. Let b(l) = l**2 - 11*l - 1. Let r(a) = 11*b(a) + 4*k(a). Does 7 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**2 + f**3 + 6*f**2 - 14*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - 50 - (-27 - -4) - 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 AM and 1:48 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -28776.71 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.62 + 0.6. Let m = -9.09 - s. Let o = 0.03 - m. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*j**4 + 957103*j**3 - 6*j**2 - 1073305.\nAnswer: 96*j + 5742618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 2*t + 10. Suppose 3576 = t*m + 1241. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -2\/781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -47 - -153. Let v = w - 269. Let t = v + 264. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*k - k + 2*k + (k + 2*k - 6*k)*(1460 - 459 + 837) in the form h*k + n and give h.\nAnswer: -5513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 3. Suppose 3*n = 2*h - 13, -n + 47 = -2*h + d*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -107 - -106. Put 19, r, 5 in ascending order.\nAnswer: r, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 24*r + 27*r + 2 = 0, -l - r - 3 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efel when four letters picked without replacement from efffeflffeeefeeffee.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 220.7067 + 0.4.\nAnswer: 221.1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 6*t**2 - 15*t + 31. Let c be x(4). Suppose -17*y = -37 + c. Solve 4*z = -y*o + 10, 3*z + o - 21 = 4*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 5. Let a = -3 - n. Suppose 158*p - 271 - 45 = 0. Solve p*q + 5*h = 22, -a = 2*q + h - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 484, 457, 428, 409, 412, 449?\n\"Answer: 2*k**3 - 13*k**2 - 2*k + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 10 = -2*q, -2*d + 5 = -5*q - 12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + (-2 - -2) + 2. Suppose 0 = -2*z - l*z + 90. Suppose -b + z = -5*a, b + 2*a = 3 + 1. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, 5, -0.07, 0.5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 6, p: 4, f: 3, c: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -2*b. Let d = -6 - -4. Sort b, d, 3\/8.\nAnswer: d, b, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x**5 + 978*x**4 - 16959*x**3\/7 + 14496*x**2\/7 - 4764*x\/7 + 528\/7 = 0. Calculate x.\nAnswer: 2\/7, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -4*i**2 + 52*i + 212. Let j be g(6). Solve -x + j = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 + -2.2922?\nAnswer: 214.7078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3849*i. Let n(s) = -4*s. Determine y(n(v)).\nAnswer: -15396*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.13, -1, 4 in decreasing order.\nAnswer: 4, 0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4\/3, -0.8, -0.04, -20?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9 + (-56)\/8 - (-24)\/(-14). Sort -3, -2\/7, -17, h.\nAnswer: -17, -3, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 24. Let s(p) = -p**3 + p**2 - 3*p - 3. Let n(g) = -2*g**3 + 3*g**2 - 7*g - 7. Let q(i) = k*s(i) + 6*n(i). Let q(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u - 57. Let t be b(15). Suppose 0 = t*r - 8*r + 720. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12996308 divided by -853.\nAnswer: 15236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -121*a**4*b - 5772*a*b*p - 161010*b - 4*p wrt a?\nAnswer: -484*a**3*b - 5772*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1))**(-1\/26)*(z**(6\/7)\/z)\/(z\/(z**(-1\/39)*z)*z))**(27\/5) assuming z is positive.\nAnswer: z**(-5553\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 5*m**2 - 4*m - 14. Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.16 rounded to zero decimal places?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -34320 divided by 4?\nAnswer: -8580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - 2*w**3\/3 - 3*w**2 + 27*w + 11. Let l(m) = -4 + 2 - m - 2 - m**2. Let b be l(0). Give o(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-1) + (-6)\/(-2). Suppose -2*o = -8*o + 3*o. Solve o = j + m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 0 + u**2 + 1 + 0 + u**4. Let t(k) = 3*k**4 - 6*k**3 - 9*k**2 - 12*k. Let b(p) = 4*g(p) - t(p). Factor b(x).\nAnswer: (x + 1)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 102265 - 70850768\nAnswer: -70748503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 35847961 to the power of 1\/3, to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxvvxvvrvrvr. What is prob of picking 2 r?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8.359 greater than or equal to 17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 6.01. Let w = 3.01 + s. Let m = -2.37 + 0.37. Sort m, 0.3, w.\nAnswer: m, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2 - 5. Let x be 4100\/(-140) + 2\/7. Let p = x - -24. What is the tens digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114 + 1.0068?\nAnswer: 115.0068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of 15*w + 25\/11*w**2 + 1\/66*w**4 + 0 - 10\/33*w**3. Factor g(p).\nAnswer: 2*(p - 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12 + 52. Does 8 divide (h\/(-16))\/((-2)\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1250589664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/6)\/((-4)\/64). Let d = r + 12. Solve -d*n + 3*q + 14 = 0, 2*q + 5 = -n + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4 + 9 - 76*d**2 - 97*d**2 + 12*d. Suppose -7*g + 84 = 21. Let k be a(g). Round k to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1814329 and 27379874?\nAnswer: 301178614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -j, 0*j - 5*j - 20 = 5*v. Let w(q) = -2*q**3 - q**2 - 3*q - 3. What is the remainder when w(v) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 - 11*c**2 + 372*c - 3064. Calculate q(8).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 380.99 - 382. Let w = 0.31 + -0.3. Let h = w + c. What is the nearest to h in 2, -2\/5, -2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4*p + 1. Let k be r(1). Suppose 3*v - k*v = -3*v. Differentiate v*u**2 + 8*u**4 + 0*u**2 - 165 + 152 wrt u.\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 3*j + 4. Suppose 0 = -61*x + 66*x - 10, -x = 4*s - 130. Let o(p) be the first derivative of 9*p + 7\/2*p**2 + s. What is -9*n(k) + 4*o(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 4878*b. Let u(k) = -6*k. Give n(u(s)).\nAnswer: -29268*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2848*f - 2967*f = -14637 for f.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/18)\/((-2)\/138). Suppose 63 = t - d. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -145471 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 28*k**3 + 8*k**2 - 84*k + 22. Let o(y) = 7*y**3 + 2*y**2 - 21*y + 5. Determine -2*h(p) + 9*o(p).\nAnswer: 7*p**3 + 2*p**2 - 21*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the third derivative of n**7\/1470 - n**6\/280 - n**5\/210 + n**4\/14 - 4*n**3\/21 + 26*n**2. Factor q(r).\nAnswer: (r - 2)**2*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 0.0744?\nAnswer: 0.2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, d: 4, r: 2, s: 1, e: 2, p: 6}. What is prob of sequence demp?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2. Let m(t) = t**3 + 5*t**2 + 4*t + 2. Let c be m(-4). Let w be (0 + c)*1\/1. Let u(v) = 1 - 1 + w*v**2. Determine f(u(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/(-30) + 4)\/(2\/10). Let z be (-4)\/v - (-1426)\/341. Suppose -2*q + 344 = 8*w - 4*w, q - 166 = -z*w. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14784, 29563, 44330, 59091, 73852, 88619, 103398?\nAnswer: 118195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 527*h - 20. Is f(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3237904 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 8*y**2 - 6*y**2 + 4*y**2. Let r(p) = -p + 5. Let x(d) = d - 7. Let s(u) = -7*r(u) - 5*x(u). Calculate b(s(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1))**(-33\/4))**(-2\/3) assuming s is positive.\nAnswer: s**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -26*a**3 - 23*a**2 - 11*a + 5. Let r(g) be the second derivative of 9*g**5\/20 + 2*g**4\/3 + 2*g**3\/3 - g**2 - 12*g - 177. Determine -11*r(m) - 4*w(m).\nAnswer: 5*m**3 + 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of 2*x**3\/3 - x**2\/2 + 1. Let g be j(-1). Let z(a) = -5 - a**2 - 2*a - g*a + 0*a**2. Calculate z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -68 and 7059.\nAnswer: -480012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12 - 14 - 8 - (-4 + -1) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 9) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 140 or 3498\/25?\nAnswer: 3498\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -9, 3, -1.163, 2\/5, 1, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m*m*(m\/(m*m**(-1\/2)))\/m*m))*m*m)**(2\/13)\/((m*m**(-10)*m)\/m**(-13)) assuming m is positive.\nAnswer: m**(-56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q - 3*q - 8*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -11*k**5\/15 - k**3\/6 + 6*k**2. Let t(h) be the first derivative of a(h). Let d be t(-5). Round d to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-10)*(-1)\/(-3). Let j = 4.5 + -7.4. Let q = j + 2.86. Sort -4, l, q.\nAnswer: -4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 115 + -115.096. Let f = v - 0.204. Let m be (-16)\/30*6\/(-24). Sort 0, m, f in descending order.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10736 and 2122800?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, w: 4, t: 1}. Give prob of sequence wm.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.7635665ng?\nAnswer: 0.0000000000000007635665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.6  (b) 0.088  (c) 3\/7  (d) 31  (e) 0.4  (f) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -20*g**2 - 150*g + 234. Calculate r(-8).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 5*x**3 + 216*x**2 - 174*x + 89. What is l(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -250 + -2.05.\nAnswer: -252.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 622.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -84561 or -84540?\nAnswer: -84561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 789046711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19116.970175 - -19117. Round i to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 559 a factor of 8437546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 11.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 1 + 4. Let v = d + 2. Solve x = 4*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(288)\/sqrt(4))**2 + (1*sqrt(2200))\/(sqrt(33)\/(sqrt(15)\/sqrt(5))).\nAnswer: 10*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jqqg when four letters picked without replacement from uqgqju.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -196 by -14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-160)\/(-222) - (-72)\/(-1332). Factor 2\/3*r**4 - z*r - 2*r**3 + 2*r**2 + 0.\nAnswer: 2*r*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1356 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -6*n - 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/3738 and -101\/13884?\nAnswer: 97188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 7*k**2 + 8*k + 1. Let x be h(8). Let l be (0 - x)\/((-2)\/6). Suppose -r + 16 = l*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 5*q - 15, 15*q - 14*q = 3*s - 13. Let d(t) = -t - 3. Let n(k) = 2*k + 3. Let f(l) = 3*d(l) + 2*n(l). Calculate f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*(0 + sqrt(1573))*-1 + -2 + 4.\nAnswer: 2 + 99*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/3)\/(10\/(-90)))\/(1494\/(-7470)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-33)\/(-165))\/(63\/38745)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/6)\/(10\/(-75)). Let b = y - -5. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 62. Let r = g - 32.896. Round r to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0964 + -0.9036. Which is the nearest to g?  (a) 3\/13  (b) -0.3  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6688309 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.09  (b) 1  (c) -5  (d) 4\/9  (e) 0.1  (f) -12.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 m, and 1 v when four letters picked without replacement from {s: 1, m: 2, v: 2, t: 4, i: 4, c: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440 = 1079*l - 2011*l - 7016 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -106, -174, -262, -376?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/7  (b) -1  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does -70.25 = 3\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y. Let o(k) = 3*k + 0*k + 0 + 0. Let j(v) = -16*v. Suppose 5*b - 4 = 6. Let i(f) = b*j(f) + 11*o(f). Calculate s(i(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 - 5*z**3 + 2*z**2 + 4*z**2 - z**3 in the form a*z**3 + x*z + h + k*z**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 2*k - 32, 0*m + 2*m - 4*k - 36 = 0. Let n = 38 + -17. Calculate the least common multiple of m and (-5)\/((-210)\/(-36))*n\/(-1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1762 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -260699, -260704, -260711, -260720, -260731, -260744?\nAnswer: -260759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -523103?\nAnswer: 523100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 6. Let s = 1 - m. Suppose s*q + 4*n = -n + 13, -4*q + 11 = -5*n. What is the biggest value in 2, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2467069258 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 + 3*p - 4*p + p**3 - p**2. Give c(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 111482881\/(-69170355) - (7 + (-45)\/6). Let g = -16\/777195 + f. Let z = -450\/89 - g. Find the common denominator of -65\/12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a**2 - 4*a + 27. Let t be w(7). Let j = t - -104. Put -5, -26\/7, j in descending order.\nAnswer: j, -26\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5004704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 168334 by -17.\nAnswer: -9902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, z: 1, k: 1, j: 1, y: 1, m: 6}. What is prob of picking 1 m, 1 n, and 1 k?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0121 + -2.0121. Which is the closest to z?  (a) -5  (b) 0.2  (c) -3\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 746, -3, 3.\nAnswer: -3, -1, 3, 746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of v**5\/90 + 29*v**4\/36 - 62*v**3\/9 - 184*v**2. Factor h(z).\nAnswer: 2*(z - 2)*(z + 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0*x + 2*v + 16 = 0, -2 = 2*x + 4*v. Put -5, x, 1 in descending order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31753 is divided by 3918.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2498, 2470, 2424, 2360, 2278?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -100 - -97. What is the biggest value in -23, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16.083 * 105.3\nAnswer: -1693.5399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18\/5, -3036, -0.2, 330, 4.\nAnswer: -3036, -18\/5, -0.2, 4, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010c (base 16) in base 8?\nAnswer: 200414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwwwwwwwwwwo. Give prob of picking 3 w and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12399, -1, 8650 in descending order.\nAnswer: 8650, -1, -12399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, f: 2}. Give prob of picking 1 f and 1 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -48 + 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (431656\/(-7))\/(-4) + -3 + (-95)\/(-35) a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15178 - -14507. Are s and -671 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-170082)\/(-32) - (-78)\/(-1248)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 5583528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 + 24. Solve 3*k - k - 3*w - 22 = f, -2*w - 28 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*a - 28 - 56 = 25*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -42 + 53. Let i be (18\/(-22) + (-2)\/v)*-53. Let a(g) = i*g**2 - 30*g**2 - 27*g**2. Let d(h) = -11*h**2. Give d(a(b)).\nAnswer: -176*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -569*g = 583*g + 577*g - 1742*g - 702 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1035478 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2.5, -0.3, -1, 0.5, -6\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p + 9. Let s be a(-7). Suppose -4*d = -s*d - 10. Suppose 4 + 1 = d*r, g - 5*r = -71. Round g to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 + 14 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 425 and 765.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 48 + -49 - (5 + 9 - (-2 + 4))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7364 is divided by (-154)\/(-7) + (-35 - -26).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12974 = -5*n - 4*x, -x - 10396 = -527*n + 523*n. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -8. Suppose -2*w - 2*b + 3*b = 0, -q*w = -5*b + 5. Suppose 4*r = 3*h + 6, 4*h - r = w + 4. Solve -2*l - 2 = -h*n - 0*l, 0 = -2*n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 4*v**2 + 6*v - 23. What is the remainder when i(-4) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -9*t + 198. What is x(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26332785 and 4770.\nAnswer: 52665570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 829 * 116.17.\nAnswer: 96304.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16616 and 4154.\nAnswer: 16616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 994691 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 + 11*d - 2. Let s(n) = 2*n**2 - 21*n + 5. Let m(u) = 7*g(u) + 4*s(u). What is m(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - c + i + 16 = 0, 2*i - 7 = -5*c. Suppose -2*n - 2*y = -4*n + 326, 0 = n - c*y - 163. What are the prime factors of n?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -6*w. Let t(g) = -1398103*g. What is h(t(v))?\nAnswer: 8388618*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1560, -1700, -1858, -2040, -2252, -2500?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 9\/847?\nAnswer: 9\/847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 - 5*m**2 + 2. Let w(g) = g**3 + 3*g**2 - 1. Suppose -6*p + 24 = -2*p. Calculate p*k(f) + 10*w(f).\nAnswer: -2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*q + 48*q - 168 = 0. What is the greatest common divisor of 132 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1055739, -2111473, -3167195, -4222899, -5278579, -6334229, -7389843, -8445415?\n\"Answer: b**3 - 1055741*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 167*n**2 - 68*n - 3. List the prime factors of w(4).\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/2)\/((-5)\/150). Suppose 0 = -8*z + 3*z + h. Suppose -z*n + 0*n + 16 = 2*r, 2*r = -4*n + 18. Does 2 = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/2 - -4 - -13 - (-261)\/(-9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000066482 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -184234 by -367.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 715 is divided by 204?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 - 40. Calculate the remainder when 12 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -627699262, -1255398527, -1883097792?\nAnswer: -2510797057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.081 and 190018452202.\nAnswer: 190018452201.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27*((0 - -3) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*o**4 + 112*o**3 - 264*o**2 + 128*o = 0.\nAnswer: 0, 2\/3, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n - 5. Suppose 0 = m + 11 + 4. Let o = 19 + m. Determine g(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 100110111101011 (base 2) in base 3?\nAnswer: 1000100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, 616, -6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 2*sqrt(108) + -1 + 2.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12834)\/(-651) + -19 - (-578)\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4\/4 - 2949*o**3 - 4503395*o**2\/4.\nAnswer: -o**2*(o + 395)*(o + 11401)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -671.106441 to the nearest 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/5 + 271408*l\/5 - 7049848.\nAnswer: -2*(l - 135574)*(l - 130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 90 = 10*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u - 3286 = -6600 + 2945 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/20 and 7\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 7*f - 34. What is the units digit of n(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7908 - -7892.334. Let o = y - -0.166. Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2 + 3 - 3 - 7*s**4 wrt s?\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536555927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10247 - f - 2*f + 8101 + 2138.\nAnswer: -3*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36054 = -4*n - 5*n. Suppose 0 = -9*s + n + 2051. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from yjyyjyjyhyhhh?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 107949809 by -671.\nAnswer: -160879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**5\/3 + 58*v**4\/3 - 1270*v**3\/3 + 4300*v**2 - 19875*v + 33750 = 0.\nAnswer: 5, 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4520*d = -4515*d - 25. Let w(i) = 8*i - 1. Let v be w(1). Find the second derivative of v*q - 3*q**4 - 2*q + d*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a hour in minutes?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 0 + 3*c + 0*c**3 - 1\/2*c**2 - 1\/12*c**4. Let l(d) be the first derivative of p(d). Let z(r) = 2*r**2. Give l(z(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11  (b) 2.4  (c) 1\/3  (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -9, -4, -2, -410, -5 in decreasing order.\nAnswer: 0, -2, -4, -5, -9, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 30230309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -1452*y**2 - 95*y - 93. Let p be z(-1). Which is smaller: -1454 or p?\nAnswer: -1454","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/15*-1*(-6)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 - 4*x**2 + 5*x - 7. Let g be d(-6). Suppose 4*z = -5*b + g, -z - 25 = -5*b - 3*z. Solve 12 + b = 5*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/3 - 564932*y\/3 - 188310.\nAnswer: -2*(y + 1)*(y + 282465)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 384 = 2*a + 2*a. Suppose 261 - a = -5*c. Is -1*(c + (-5 - -2)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.07 and 125044531.\nAnswer: 125044531.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 13*r**2 + 8*r - 7. Let q(t) = 4*t**2 + 3*t - 2. Suppose 20 = -4*v, 3*f + 3*v + 5 - 11 = 0. What is f*q(n) - 2*d(n)?\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 72\/(-16)*(-280)\/6. Suppose -4*r - r + x = 0. Calculate the remainder when r is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -78.7 + 19.7. Which is the biggest value?  (a) 2  (b) 0  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**4\/24 + 7*s**3\/6 - s**2\/2 - 5*s. Let i(z) be the first derivative of b(z). Let m = -5 - -10. Give i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 610545741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 - 8*f**5 - 6*f**3 - 10 + 7*f**3)*(-28 + 4 - 12).\nAnswer: 288*f**5 - 36*f**3 - 288","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 + 51 - 2*l + 3 - 21.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 8*f**3 - f**2\/2 - 17. Calculate x(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*h**4 + 2*h**3 - 44*h**2 + 23*h + 1110402.\nAnswer: -32*h**3 + 6*h**2 - 88*h + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + -2)\/(2\/(-150)). Suppose -5*m - 5*f = -6*f + c, -4*m + 2*f - 66 = 0. Sort -4, m, -0.3 in descending order.\nAnswer: -0.3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158674 divided by 3019?\nAnswer: 158674\/3019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3031643 to the power of 1\/2, to the nearest integer?\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 (base 6) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 3*a**3 + 274*a**2 + 348*a - 1066. Give l(-90).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u**2 - 7*u + 14. Let v be n(-10). Suppose -3*f - f = -v. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3982, 4, 5, -1850 in decreasing order.\nAnswer: 3982, 5, 4, -1850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.9 + -0.1. Let a = j + -3.1. Let h = a - -1.328. Round h to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10236 (base 7) in base 3?\nAnswer: -10110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 5628 = k. Suppose 8*i - k = 5*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j**3 - 2*j**3 + j**3 - 2 + 2 - 2 - j**3 - j**3 + j - j + (4*j**2 - j**2 - 4*j**2)*(2*j - 1 + 1) - 2*j**3 + 3*j**3 + 0*j**3 - j**3 - j**3 + 4*j**3.\nAnswer: -6*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 18 - 5\/((-20)\/8). Let b = d + -12. Suppose b = 4*z, 4*x + z - 40 = 3*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1545 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 43.7798546647.\nAnswer: -43.5798546647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -168814 times 14.8\nAnswer: -2498447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 4. Determine h(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**4\/9 + 154*p**3\/9 - 629*p**2\/9 + 158*p\/3 = 0. What is p?\nAnswer: -158, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*x + 57*x = 30. Let q(o) = 2*o**2 + 11*o - 30. Let y be q(x). What is the greatest common factor of 182 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 144*u**5 - 2*u + 34*u**5 - 20*u**5 + (1 + 2*u - 1)*(-4*u**4 + 3*u**4 + 2*u**4).\nAnswer: 160*u**5 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*u - 264 = -57*u - 81*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**2 + 131*o + 872. Give a(50).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 929950 and 4410.\nAnswer: 58586850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - l = -310. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5712526, 11425051, 17137576?\n\"Answer: 5712525*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1787862.\nAnswer: 2, 3, 19, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2 - 3. Calculate the least common multiple of 16 and p(5).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 30. Suppose n = -w + 3*w. Solve j = -2*j + o + 10, -2*j - w = 4*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.089 and -0.19236349.\nAnswer: -0.28136349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 8:33 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16123, -16119, -16113, -16105, -16095, -16083?\nAnswer: -16069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of -5*w**6\/42 + 2*w**5\/7 - 4*w**4\/21 - 59*w + 2. Suppose x(m) = 0. Calculate m.\nAnswer: 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -35522342 or -35522334?\nAnswer: -35522334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 52.22482 to one decimal place.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31078379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -203 - -200. Suppose v - 2*v - 3 = 0, 2*a = v + 7. Suppose -a*h = 2*f - h - 9, 3*f + h - 13 = 0. What is the third biggest value in b, 0.3, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2752279 and 33700?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 69 = -3*y, 5668*o + 131 = 5671*o - 5*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.69 * -214\nAnswer: 147.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -341 - -349. Let u = 530 + 530. Suppose -o*j + 12156 = u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(80)*-5.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11.3899994613 + -11.39. What is p rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.1633  (b) 3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jbjxjzabazmabza. Give prob of picking 2 b and 1 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1743552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5874 divided by 2937?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 1 - 25. Suppose -120 = x*o - 11*o. Suppose 5*y = y + o. Solve -3*f - 2*z = 11, 3*f - 2*z = z - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**5*k*k)\/(k*k\/((k**(2\/5)*k)\/k)))\/(k**(2\/7)\/k**(-2\/15)) assuming k is positive.\nAnswer: k**(523\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -384*t**3 - 2*t**2 + 3. Give q(-1).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 344*x**4*y**3 - 2*x**3*y**3 - 16*x**2*y - 19*x*y - 4*y**3 wrt x.\nAnswer: 8256*x*y**3 - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, -4, 7, 3 in ascending order.\nAnswer: -12, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 32\/20*(-15)\/(-6). Let v(l) = 4*l**2 - 4*l - 8. Does 10 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 9*u**2 - 7*u - 5. Calculate t(9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 h when three letters picked without replacement from hhqrrrh?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 - 9*h**2 + 27*h - 36. Is 35 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5614 is divided by 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*s**2 + s + 0*s**2 - 7*s)*(3*s - 6*s + 0*s) to w*s**2 + y*s + t*s**3 + r and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3*o = 1, 9 = r - 5*o - 10. Solve -4*j = -0*j - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 798324 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 672 is divided by 218.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -735*m + 739*m + 4*x, 0*m + 3*m - 8*x + 50 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 5*s - 68, -3*p - 5*s + s + 64 = 0. What is the remainder when 1\/4 - (-67)\/4 is divided by p\/(-6)*(-27)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56379, 56380, 56381?\nAnswer: 56382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 - 21 = 2*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/(-3))\/(2\/3). Let z = -4931\/7 - -704. What is the nearest to 2\/7 in l, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 0*q**2 - 12 + 2*q**2 + 11 - 26*q**3. What is the remainder when o(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-56)\/26 - 4\/(-2). Let b = -0.02 - -0.08. Let i = -0.04 - b. What is the biggest value in f, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-3) - (1430\/(-30) - -13). Let a be 46\/m + -6*16\/96. Factor -2\/17*z**4 + 4\/17*z + a*z**3 + 10\/17*z**2 + 0 - 2\/17*z**5.\nAnswer: -2*z*(z - 2)*(z + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237186 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 383087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - -2. Suppose -n = -p*n. Solve n*j - j - 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 5*u**2 + u - 8. Give o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((124 - -3)\/(-1))\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -38793, -38797, -38801, -38805, -38809, -38813?\n\"Answer: -4*g - 38789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/3 - 119*r**2 - 12904*r\/3 + 4420.\nAnswer: (r - 390)*(r - 1)*(r + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0324 - 34118019.\nAnswer: -34118018.9676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 - w**2 + 2. Let h(s) = -3*s**3 - 3*s**2 + 4*s - 17. Let u(y) = h(y) + 2*l(y). Let j be u(-6). Let k(b) = -14*b**2. Determine k(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1075588 is divided by 353?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 + 10*p - 2. Let b be s(-10). Let w = -4 - b. Let d(f) = -f**3 + f**2 - f. Let x(h) = h**3 + 4*h - 4. Let n(z) = w*d(z) - x(z). Give n(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 2*c + 8. Solve -3*w = 2*v + 4, -3*v - 9 = c*w + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 54, -4, 7, -3, -45, -26.\nAnswer: -45, -26, -4, -3, -1, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 804048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 730 = 5*s, -373*s - 294 = -375*s + f. What is the remainder when s is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ndndyynindiniiisi. Give prob of sequence yd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/182 and 83\/10.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -217 and 36.9373.\nAnswer: -180.0627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 761564 and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 - (0 + (-6 - -1)). Solve o + 9 = z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2902 + 2906 - 5808 - 1725*h)*(4*h**2 - 4*h**2 + 3*h**2).\nAnswer: -5175*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of 13*o**7\/2520 - 13*o**5\/120 + 2*o**4 + 15*o. Let s(f) be the third derivative of m(f). Differentiate s(d) wrt d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3226779*r**4 + 37560*r + 14.\nAnswer: -38721348*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y + 3*y - 1964*y**2 - 2271*y**2 + 4315*y**2 - 4*y + y.\nAnswer: 80*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18010690 by 5.\nAnswer: -3602138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -168 - 99082?\nAnswer: -9923a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3064705 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 9*s - 98809836. Suppose -s = -4*y + 20285847. Round y to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 9335 = 5*a, 2*a - 4665 = -u + 7*a. Let n = u + -2617. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20 + (31 - 12) + 17 + 14\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 2266 = -5*p. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000017715 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5840982 and 630?\nAnswer: 29204910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 345 and 253.\nAnswer: 3795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*a - 18, 0*a - 3*a = -2*r + 12. Let g be (-1 - 2\/3)*-3. Let f = g - r. Solve -f*v - 2 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 3*l - 12. Let y = -3 - -5. Suppose 0 = -l*z + y*z + 14. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 3*x**2 - 51*x + 216 = 0.\nAnswer: 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 7*q**2 - 8*q - 11. Let z(k) = k**3 + 28*k**2 - 31*k - 44. Let b(r) = 9*i(r) - 2*z(r). Is b(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 + 5*f**2 + f + 4. Let y be h(5). Let u be (-2)\/6 + (-24)\/y. What is the third biggest value in u, -1\/3, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 24 = 20. Let w = -7 + a. Calculate the least common multiple of (6*w\/(-6))\/(-2) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 301 a factor of 21179344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 386417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -15 + 1 + 4 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162242, -162214, -162178, -162128, -162058?\nAnswer: -161962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -5*n + 3. Let y(m) = -3*m + 2. Let z(x) = -5*w(x) + 8*y(x). Suppose 4*i + k = -16, 4*k + 0 = -3*i - 25. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -7*a**3 + 4*a + 4. Let n(h) be the third derivative of h**6\/8 - 3*h**4\/8 - 3*h**3\/2 - 245*h**2. Calculate -4*n(u) - 9*q(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6585552?\nAnswer: 2, 3, 19, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1676*l - 963*l + 4045*l + 5248*l)*(-2*l - 3*l + 3*l).\nAnswer: -13308*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 92 by -23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6698 and 1003.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126096, 504431, 1134990, 2017773, 3152780, 4540011?\nAnswer: 6179466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a millennium in decades?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 97*r**8\/28 - 75*r**4\/4 - 255*r. Find the third derivative of c(q) wrt q.\nAnswer: 23280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.204 - -14?\nAnswer: 13.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05441 + -22710.\nAnswer: -22709.94559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.18 and -16.14.\nAnswer: -14.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 863133894 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**3 - h**2 + 4*h - 5. Let c(y) = -8*y**3 + y**2 - 5*y + 5. Let i(k) = 6*c(k) + 7*f(k). Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2490*b**4*p + 3*b**4 + 9*b**3*p - 5*b**3 + 2*b**2*p + 5*b**2 - 2*b - 9368*p + 2 wrt b.\nAnswer: 59760*b*p + 72*b + 54*p - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -7*c**2 - 2*c + 1. Let g be j(1). Does 5 divide ((-34)\/(-4))\/((-4)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from {i: 4, g: 16}?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 628\/11 - 57. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of -7*j**6\/720 + j**5\/120 + j**4\/6 - 2*j. Let y(z) be the third derivative of a(z). What are the prime factors of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 931.8298 nanograms?\nAnswer: 0.0009318298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -4\/3, -1, 189, 5, 1\/3 in increasing order.\nAnswer: -4\/3, -1, 2\/9, 1\/3, 5, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9.2 - -13. Let i = 22.1899 - t. Round i to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13 + 14. What is the closest to -0.1 in p, 2, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 128093 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 16*m + 311. Calculate n(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t - 6 = 14*t. Let a(g) be the second derivative of 1\/18*g**3 + 0 + 1\/45*g**t - 1\/18*g**4 - 3*g + 0*g**2 - 1\/60*g**5. Factor a(o).\nAnswer: o*(o - 1)*(o + 1)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 3:34 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -1\/8*n**3 - 10*n + 17\/8*n**2 + 8 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1\/4  (b) 103  (c) -18  (d) 0  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-3*(0 + -2*sqrt(425)*1))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-198)\/(-9)*42\/(-42)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 22 = -2*h, -7 = -5*h - 2*i - i. Let y be (-27 + 1)\/(1 + 1). Let b = h - y. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50556, -101360, -152162, -202962, -253760, -304556?\nAnswer: -355350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -198*q**3 - 12*q**2 + 17*q. Let x(z) = -3*z**3 + 2*z**2. Give -t(u) - 5*x(u).\nAnswer: 213*u**3 + 2*u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-8 + 14) - -18\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/15*(2 + -2). Suppose 0 = -4*g - q*g + 28. Differentiate -62*l**3 + 70*l**3 - l + g + l wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 11*k**2 - k - 1. Calculate the remainder when 53 is divided by m(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 8) + (-2)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - -1) + 6 - -3. Let m(u) = -13*u**3 + 26*u**2 - 58*u + 61. Let l(t) = 7*t**3 - 13*t**2 + 28*t - 30. Let s(b) = r*l(b) + 6*m(b). Factor s(g).\nAnswer: -(g - 9)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 + 4*j**2 + 14*j + 4. What is k(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 112, -1, -14, -2 in descending order.\nAnswer: 112, -1, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -14. Sort 0, -5, p in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*d**2*u**3*z**3 + 62007*d**2*z**3 - 63957*d*u**3*z**3 + 3*d*u**3*z**2 wrt d.\nAnswer: -4*u**3*z**3 + 124014*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -18512 <= -129582\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 730*r**3 + 1074*r**2 + 78*r**3 - 1440*r**2 wrt r?\nAnswer: 4848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6654 divided by -76?\nAnswer: 3327\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51035112 (base 6) to base 9.\nAnswer: -2651778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**4\/24 - t**3\/12 - 3*t - 2. Let m(l) be the first derivative of s(l). Determine f so that m(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - (sqrt(252)*2 + 0))**2 + -4)*-4 + 5 + ((6*(sqrt(252) + -1) - sqrt(252)) + 3)**2.\nAnswer: -180*sqrt(7) + 5322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 125 + 15 = -4*m, 118 = -4*x - 2*m. Let p = 38 + x. Suppose -p*h + 8*h = 32. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/4 - 4\/2. Let u be (1\/l*0)\/1. Solve z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -21. Suppose b*q = 14 - 10. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9543613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**4\/2 + 18*k**3 + 35*k**2\/2.\nAnswer: k**2*(k + 1)*(k + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -29003 + -4?\nAnswer: -29007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -62 (base 9) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*((l*l**(-3\/5))\/l)\/l)\/l**(4\/9))**(-25) assuming l is positive.\nAnswer: l**(235\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*m + 6*m + 66. Suppose -5*b + 28 = -12. Solve -b = o - m*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 + (2 - (-13 + 15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 12:58 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -556 = -4*q - 8. Which is smaller: 136 or q?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -5067*m**7\/14 - 11179*m**3\/6 - 4657*m. What is the second derivative of i(b) wrt b?\nAnswer: -304020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -0.2  (b) -0.232  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 261.7 * -4\nAnswer: -1046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 6:16 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.15468 - -1.75468. Which is the smallest value?  (a) h  (b) -2  (c) -1  (d) -0.5  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1888*s + 13876 - 1428*s - 13876 - 13*s.\nAnswer: -3329*s","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is -1.523 + -4?\nAnswer: -5.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 - -11. Let v = -0.05 + -0.15. What is the closest to -0.2 in m, 0.1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - 8. Suppose -6*a + 4*a = -t. Solve -a*c = -c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -3*p**3 + 9\/5*p**2 - 9\/5*p**4 + 0 + 12\/5*p + 3\/5*p**5 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.61 - -11.19. Let r = -4 + x. Round r to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 22*1 - (-3 + 1). Suppose -z = -4*t + 48. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37531.1 - 37531. Put -0.004, -19, k in descending order.\nAnswer: k, -0.004, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-34)\/(-60) + (-21)\/315. Which is the second smallest value?  (a) -62  (b) m  (c) -0.3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1288 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1119 + -847. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146 - 174 = 7*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -47, -134, -265, -428, -611?\n\"Answer: 2*y**3 - 34*y**2 + y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 128720 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 85 = 0, 1225*v - 5*h + 79 = 613*v + 609*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, r: 7, v: 1, x: 3, f: 1}. What is prob of sequence tf?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.688 + 0.6878337. Round q to 6 decimal places.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 27\/2, 2\/7, -0.057, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*r + 67*r + 158 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooooooojooooooo. What is prob of picking 1 o and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -81\/21050  (b) 0.1  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zvv when three letters picked without replacement from rvzvuuukuzvuvzrzzuzu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51 + 54. Factor 1\/2*l - 7\/4*l**p + 0 - 5\/4*l**2.\nAnswer: -l*(l + 1)*(7*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 - -11174?\nAnswer: 11184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -2*j - 11, -i - 3 = -2. Let n be 0\/(-2)*1\/(-1) + j. What is the smallest common multiple of 3 and (6\/8)\/n - (-450)\/40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gef. What is prob of picking 1 g and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -0.9. Which is the smallest value?  (a) 0.5  (b) x  (c) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 646 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 0 + -15 - (-1132 + 1125)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 126 = -5*z, 6*d + 2*z = d + 141. Suppose 2*s - 2*r + 27 = -39, d = -s + 5*r. Let j = 57 + s. Calculate the greatest common divisor of j and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3842599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 832789 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 5*d - 1. Let b be t(2). Let z be 26 + 3*3\/(-3). Suppose -b = -4*m + z. Calculate the highest common divisor of m and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1378694 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 56.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*h = -35*h - 2890 + 586 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 879 is divided by 177?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from jmjjmjjmmmjmjjmj.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/15602678 and -97\/126.\nAnswer: 140424102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 36960 divided by 48\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 163*m**2 - 9*m + 8. Calculate the least common multiple of z(1) and 2.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 4*t**2 - 3*t + 3. Let v be d(3). Suppose -3*g + 6*g - 155 = 4*j, -163 = -v*g + 2*j. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -u - 32. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 2, -p - 121*f = -5*p - 124*f - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 6*a. Let w(g) = g**3 - g**2 - 4. Let b be w(3). Solve -5*h + 10*h - 2*i - 22 = a, 4*h = -2*i + b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 359*g**3 + 2*g**2 + 2*g + 177 wrt g?\nAnswer: 1077*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - 1. Let d be ((-4)\/20)\/(l\/8). What is the second smallest value in 2, d, -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28986763.92 rounded to the nearest 10000?\nAnswer: 28990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401070?\nAnswer: 2, 3, 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 54*j + 524. Give p(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*g**2 + 9*g**2 + 3721*g + 28 - 3721*g.\nAnswer: 2*g**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/4)\/(94\/(-470)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 624*d + 2306*d + 193*d - 51696 + 4851 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 735 and 34615.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 174911*f**2 - 87498*f**2 - 82*f**4 - 14 - 3*f**5 - 87455*f**2 - f**6 + 5*f wrt f.\nAnswer: -120*f**3 - 180*f**2 - 1968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/54)\/(10\/(-15))*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -135 + 141. Suppose -55 + 13 = -2*u. What is the remainder when u is divided by (h - (-189)\/(-14))*8\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5114 + -4?\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, y: 1, l: 1, a: 1, z: 2, e: 2}. Give prob of sequence ylzv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 2*b - 25 = 0, 3*s - 193*b + 197*b + 13 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by (-124)\/(-44) + (-8)\/220*-5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**3 + 4*v**2 - 4*v + 5. Let t be d(3). Solve 3 = -q + t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8402170, 8402179, 8402196, 8402227, 8402278, 8402355, 8402464?\nAnswer: 8402611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h + 1 = -4*g - 14, 0 = 5*h - 24441*g + 24440*g - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/11593 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**11)**(-40)\/(r*r**21*r*r*r*r*r\/((r\/(r\/(r\/r**(4\/13))*r)*r*r)\/r)*r) assuming r is positive.\nAnswer: r**(-6075\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 19*a - 9*a + (-2*a + 3*a + 0*a + (2*a - 3*a - a)*(0 + 1 + 2) + 0 + 0 + 2*a + 0*a + a - 2*a - a - a + 4*a)*(1 - 1 + 1).\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 490 = -0*z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1518 - 1517. What is the closest to 13.4 in -4, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40\/15 + (16\/(-6) - -2). Solve 4 + 6 = -k*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-807 - 181*z**3 + 807)*(-2 + 3 - 4)*(5*z - 1 - 3*z - 3*z) to f*z**3 + h + n*z**4 + q*z + m*z**2 and give f.\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -5*i**2 + 2*i + 1. Let t(u) = 4*u**2 - 3*u. Suppose 3*o + 5*k = -1, 5*o - k = 2*k + 21. Let x(w) = o*t(w) + 2*b(w). Give x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r + 2. Suppose 0*x - 5*x + 30 = v, v + x - 38 = 0. Calculate the remainder when v is divided by c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2390443 and -0.1.\nAnswer: 239044.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 14\/19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 18 = -4*j + 1, -4 = -2*x + 2*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5703 (base 11) in base 4?\nAnswer: -1311101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 2) + 4 + 1. Suppose -z*m + 4*r = -9 - 35, -2*m + r = -23. Is (472\/m)\/((-4)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 135226, 270448, 405670, 540892, 676114?\n\"Answer: 135222*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 2*l - 10, 13 + 7 = -2*o - 4*l. Suppose o = -2*c - 2, -5*c + c - 2 = t. Let u = t - -14. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -29041.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 404 and 3838?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 77068?\nAnswer: 2, 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4390056\/13 < 337698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 6*c**2 + 7*c + 1. Let f be m(-7). Suppose 0 = -3*q - q - 4*y - 4, 5*y + 9 = -q. Let j = f + q. What is the remainder when 6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*c**2 - 15*c**2 - 23*c**2)*(3 + 2 - 4).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-20) - (-7938)\/(-20). Let v = 379 + u. Find the common denominator of 91\/4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45735130 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of -r**7\/840 + r**6\/40 - 11*r**5\/120 + r**4\/3 - 70*r**3\/3 + 18*r. Let f(y) be the second derivative of p(y). Determine f(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -k - 30. Suppose -6 - k = 4*l. Let g = -44\/195 - -2\/585. What is the closest to l in -1\/8, g, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -c - 3*d, 2*d = 5*c - 0 - 9. What are the prime factors of (0 - 31 - c)\/(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -86*s - 12. What are the prime factors of n(-10)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 795944651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from nnnamzmnwwwmmzaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 12) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 31*j**2 + 1. What is the tens digit of v(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.101 - 0.032. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 - 30 - (-2 + (-1 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 143*m - 305*m + 24*m + 5106 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 5*w - v - 521 = 0, w = -5*v + 99. Let j = 108 - w. Solve 0 = 3*d + j*u + 10, 3*d - 2 = 2*d + 4*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1055 + -1062. Suppose 6 - 1 = 5*q. Let v be 4*1\/4*q. Sort v, f, 5 in decreasing order.\nAnswer: 5, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 + 2*q**2 - 2*q. Let m be x(2). Suppose 0 = -68*g + 39*g + 41*g + 36. Sort m, 2, -2, g in increasing order.\nAnswer: m, g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5173177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 803 - 490. What are the prime factors of h?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 9*w**2 - 9*w + 2. Let u be d(10). Suppose -3*j = -2*l - 397209, 10*j - 198594 = l + u*j. Round l to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 1 + -8 + 4 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.070885 + 17133.570885. Round x to the nearest one hundred.\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f**3\/4 + 30*f**2 - 123*f\/4 = 0.\nAnswer: -41, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -7*f - 149. Let z be k(-22). Let g be z + (5 + 83 - (-12)\/(-4)). Suppose -8 = -3*p + 46. Calculate the highest common divisor of g and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 848 + 3961. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3456 and 771417?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a422 (base 12) to base 9.\nAnswer: 57868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 631 = 2*m - 3*t, -4*m + 516 = -t - 761. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*h**2 - 1185*h + 8*h**3 + 5 - 1135*h + 2322*h as u*h + d*h**2 + y*h**3 + k and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -883471200 to the nearest 1000000.\nAnswer: -883000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140*g - 180 = 134*g. Suppose 24842 = -28*n + g*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26536*l - 1450282 - 539156 = -70124 + 468926 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -23.76305 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7 + 22 + 8*w**2 + 2*w**2 - w**2 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 6*o - 3. Let c be g(-6). Let v be 0\/(0 + 1\/(-1)). Let s(j) = 2 + 50*j**3 - 51*j**3 + v + 5*j. Give s(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/2)\/(72\/(-48))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1320956\/24830*(-10)\/(-7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-6)\/(c**(-1\/2)*c)*c\/c**(-3\/7)*c**(-3\/7) assuming c is positive.\nAnswer: c**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 152 + -99. Is 24 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(4\/(1 + -5)). Let r = 3 - p. Suppose 2*k - r = -5. What is the greatest common divisor of 27 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15343 + 53*w + w - 15343)*(0*w + 0*w + 3*w).\nAnswer: 162*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(-1\/8)\/t)*t)\/(t**4*t))**(-7\/6)\/((t**(2\/7))**(-29)*(t*t\/(t*(t**6\/t)\/t)*t)\/t**0) assuming t is positive.\nAnswer: t**(1397\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0*p = -6. Let j = -5 - p. Sort j, 3\/8, -0.2 in increasing order.\nAnswer: -0.2, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 966675, 966667, 966659, 966651?\nAnswer: 966643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 8 - 17 - 10317*o - 475*o as u*o + z and give u.\nAnswer: -10792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 4 + 0)*(-i**2 + 2*i**3 + i**2) + i**3 + 2 - 2 - i**3 + 3*i - 200*i**2 - 44641 + 44641 to o + x*i + t*i**3 + r*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (193 - 376) + (-3 - -121)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 202 - 86 - 112 - 7*c**2 - 2*c. Determine z(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144893891 - -3.\nAnswer: 144893894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*4*(-2*sqrt(972) + sqrt(972)))\/(((2*sqrt(336))\/sqrt(12) - sqrt(28))\/(sqrt(84)\/sqrt(3))).\nAnswer: -288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1  (b) 4  (c) -216\/13  (d) -62  (e) -0.1  (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 5:36 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6229 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*a**2 - 1892*a + 627*a + 624*a + 640*a.\nAnswer: 13*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 5.893.\nAnswer: 6.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 16*b**2 - 4*b + 4. What is the tens digit of d(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.591 + -1.5910941. Round b to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 248 + -249. Which is the nearest to t?  (a) -1\/5  (b) 5  (c) 1\/5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + u - 12 = -4*y, 0 = -2*u - 4*y + 4. What is the least common multiple of 114 and u?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -130.6 and 71.84165.\nAnswer: -58.75835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10349\/7 + 1473. Is w >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 193 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 381371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6*y**2 - 1. Let x = 12 + -10. Let t be (x\/3)\/((-2)\/(-3)). What is the remainder when o(t) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p + 2. Suppose -12*i = -15*i - 15. Let t be f(i). Suppose t*y - 260 = 5*y. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -5*s**3\/6 + 55*s**2 - s - 7. Let w be j(22). Solve -5*o + w - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 139555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21310390 - 4226*z - 390*z**2 + 7*z**3 - 21310390 - 3317*z wrt z?\nAnswer: 42*z - 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 8*z**2 - 3*z - 5. Let m be f(-5). Let n = m - 78. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**1)**27)**(-49) assuming q is positive.\nAnswer: q**(-2646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 32464.89 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2141728731.\nAnswer: 3, 17, 13998227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 70571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -53*n**2 - 26*n + 1389. Let d(u) = -23*u**2 - 11*u + 695. Calculate -3*c(f) + 7*d(f).\nAnswer: -2*f**2 + f + 698","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -3*z - 1, -5*v - 13 = -v + 5*z. Let f = -16 - -210\/13. Which is the third smallest value?  (a) v  (b) 0.4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 315, 931, 1945, 3357?\n\"Answer: 199*h**2 + 19*h + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -57.55789 take away 587?\nAnswer: -644.55789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.29 in -2, -1\/4, -79?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 291*d*p**3 - 18*d*p**2 - 32142*d wrt p?\nAnswer: 873*d*p**2 - 36*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51 or -50?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/10 - 8*f**2\/5 + 8*f.\nAnswer: -f*(f - 4)*(f + 20)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 1. Find h such that h**4 + 2*h**4 - j*h**3 + 0*h**3 + 4*h**2 - h**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37235*w**2 + 550*w - 143601641 with respect to w.\nAnswer: 74470*w + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 9, p: 6, i: 2, w: 2}. What is prob of sequence wpi?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -309 - -1416. What is the greatest common factor of c and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g = 18*g - 1020. Suppose -2*y + 10 + 2 = 0. Calculate the smallest common multiple of y and g.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3\/(-4*(-6)\/512) and 44?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k. Let y(h) be the second derivative of h**6\/40 + h**3\/3 + 9*h. Let p(b) be the second derivative of y(b). Determine p(o(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f*f\/((f**6\/f)\/f*f*f)*f)**49*(f**(-5))**(-10\/11))**(-20) assuming f is positive.\nAnswer: f**(9780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*x**2 + 173*x**2 + 125*x**2.\nAnswer: 320*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 7:56 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10091?\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 360\/36 + 4953*11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9475 - 9475.3. Which is the fourth biggest value?  (a) 21  (b) -2\/9  (c) 1  (d) n  (e) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (136062\/(-52913))\/((-171)\/(-28)).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -h - 3. Let d be 2\/h + (-88)\/(-40). What is the highest common divisor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 3*w - 6. Suppose w*v + 7 - 43 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 1 - 11) + -72 + 74.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2. Let h be i(0). Let w = -49.3749 - -0.0749. Let f = -49 - w. Which is the biggest value?  (a) f  (b) -2\/9  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12711 - -98948. Suppose 23*k + 20296 - y = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 8, j: 9, g: 2}. What is prob of picking 2 w, 1 g, and 1 j?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 300 divided by -4\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4)\/15*(-58)\/(-4) and -85\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1954811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pxb when three letters picked without replacement from {x: 2, b: 2, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1160198, 2320390, 3480582, 4640774?\n\"Answer: 1160192*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from hhhggggghghghggh.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.043 + 1.343. Let k = 6.36089 + -7.6608928. Let s = d + k. What is s rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 8, -3, 0 in decreasing order.\nAnswer: 8, 0, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 202928 and 32671408?\nAnswer: 32671408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-33)\/((-69)\/(-78) - 1). Suppose -5*z - l = -3*u, 0 = 3*u - 0*u - 3*z - 288. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43048405 divided by -8609681.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, k: 4, l: 1, u: 11}. What is prob of sequence uuut?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = 3*g - 2, 2*g = 92*a - 95*a - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + 3686104.1687\nAnswer: 3686104.4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -u - 22, 3*u - 10 = -4*b - 2*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6408 - 6002. Let n = -7 - -24. What is the remainder when w is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -100 - -93. Is 16 a factor of (45\/(-30))\/(((-21)\/(-542))\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112633 is divided by 5308.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from owwwpwvu. What is prob of sequence owp?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 129025572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*f - 61 - 60, 4*f + 58 = 2*t. Solve t + 0 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 154 or -5.16?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 290\/84 + (0 - (-11)\/(-66)) and -22\/23?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 2, 4\/11, 0.035 in increasing order.\nAnswer: 0.035, 0.2, 4\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -4*j**2 - 24*j - 3. Give x(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9693264 tonnes in milligrams?\nAnswer: 969326400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1298 - 1301. What is the second biggest value in 313, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k + 7. Let b(s) = s. Let n(g) = -6*b(g) + x(g). Let y be n(5). Let p be (20\/16)\/(y\/8). Sort -1, 1, p in descending order.\nAnswer: p, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -604836 divided by -3.\nAnswer: 201612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -7*z**4\/4 - 2*z**3 - 7*z - 2. Let f(b) = b**3 + b**2 + 1. Let c(j) = -6*f(j) - i(j). Differentiate c(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**2 - 2015272*y + 507665154248 = 0?\nAnswer: 503818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 128\/24*(-6)\/(-8) + 310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(8) - sqrt(80)\/(sqrt(30)\/sqrt(3) + sqrt(10))))\/(sqrt(1089)*-2*-2 - sqrt(1089) - sqrt(1089)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 + 46 = -3*q + 94 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**2 + 21044 - 21024 + 3*w + 16*w + 14*w to o*w**2 + k + x*w and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3120 and 1092.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -0.0897, 5, -11378.\nAnswer: -11378, -0.0897, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**4 - 54600*g**3 - 327627*g**2 - 491454*g.\nAnswer: g*(g - 54606)*(g + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9 (base 11) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 times 4809449?\nAnswer: 48094490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38*m*q**4 - 26*m*q**2 - 15784*m - 4*q**4 with respect to q.\nAnswer: -152*m*q**3 - 52*m*q - 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -7*g. Suppose -166 = -3*f - 2*f + 2*i, 3*f - 108 = -3*i. Let y = f + -21. What is the remainder when y is divided by t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -3*u - 73 - 1505, -5*v + 4*u + 1579 = 0. What is the smallest common multiple of 35 and v?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/7 + 40*g\/7 + 24.\nAnswer: 2*(g + 6)*(g + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + 7*j**2 + 9*j + 1. Calculate a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3336 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eate. Give prob of sequence ata.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5\/7)\/g*g**(3\/2))**(3\/5)\/((g**(2\/19)*g*g**(-1))\/((g\/g**(-2\/3))\/g)**(-16)) assuming g is positive.\nAnswer: g**(-43493\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-8 - (3 + -10 + 2)) - -22\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 41*n**2 + 30*n + 101. Calculate h(40).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by ((-6)\/(-10))\/(55\/50 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-505 - 349 + 7277*v + 856)*(2*v - 2*v - v) to k*v + r + o*v**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 7*p - 2. Let f be z(1). Solve 0 = -5*q - g - 18, -3*q - g + f = 15 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101 (base 4) to base 3.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 96, 196, 296?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 4a (base 16) to base 6\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -51*k**4\/2 - 353*k**3\/2 - 190*k**2 + 424*k - 32 = 0.\nAnswer: -4, 4\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of -a**3\/6 + 11*a**2\/2 - 5*a. Let f(p) = 2. Let c be 2 - -2*2\/4. Suppose 5 - c = -g. Calculate g*z(t) + 10*f(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 3*s**3 - 4*s + 3. Calculate the lowest common multiple of b(1) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 6*v - 6 = 4*r, 0 = 4*r - 4. Sort v, 11, -1\/28, 0.3 in decreasing order.\nAnswer: 11, v, 0.3, -1\/28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37527638 and 15038?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-1 - -27) - ((-1 + -1 - 37) + 29).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 2*v**2 + 4\/5*v**5 + 14 - v**4 - 4*v**3 + 8*v. Factor t(q).\nAnswer: 4*(q - 2)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 105 + -59. Let i be ((-14)\/(-3) - 3)*-18. What is the smallest common multiple of a and i\/(3 - 9\/2)?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -4. Suppose 0 = -3*m + 7*m + 344. Calculate the common denominator of -33\/2 and ((-3)\/(-8))\/(n\/m).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**4 - 26*g**2 + 30 + 0*g**4 - 9*g + 101*g + 122*g**2 + 36*g**3 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.04 + -0.04. Let p = x - 3. Which is the third biggest value?  (a) 5  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 103 - 2*o - 568 + 97 + 173 + 100.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + 7*c**2 - 12*c - 13. Calculate the remainder when s(-8) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/15)\/((-16)\/40)*-5\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.81 - -0.01?\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -1\/4, 0, -20, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 5*z = 20, 4*v + 22 + 4 = -3*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 443*t**6\/120 + 43*t**3 - 6*t**2 + 3. What is the first derivative of n(a) wrt a?\nAnswer: 1329*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -29 + 27 + 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 423245.6 kilometers to centimeters.\nAnswer: 42324560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1214 and 1079798370?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 159 = 2*y. Let b = -44 + y. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.283541349 - 3.\nAnswer: -2.716458651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 690 = w, 5*w = -0*w - 25. Let y = i + -126. Let h = 7 - -14. Calculate the remainder when h is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from qmqmmmmvmqhqvymm.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**4\/4 + 4*r**3\/3 + 2*r**2 - r. Let t(m) = 2*m**3 + 4*m**2 + 4*m + 1. Let o be t(-2). Is n(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 204546511 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 974556 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -4, -4\/7, -0.32, -0.92, -2?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 7. Suppose u = z + z. Let t be (1\/z)\/((-4)\/(-32)). Solve 0*j = -2*j + t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -100*m**3 - 773. Let r(f) = f. Calculate b(r(j)).\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.3 - -6.3. What is the closest to -0.1 in 2\/7, -3, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 281057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 17039.12 to the nearest 10.\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 2*f + 0*f)*(1 - 1 + 2) - 5*f + f + 6*f + 74*f - 77*f + 91*f + 5*f + 9*f - 5*f.\nAnswer: 103*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v - 136 + v**2 - 3*v + 4*v - 3*v**2.\nAnswer: -2*v**2 + 4*v - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 802.2726us in minutes?\nAnswer: 0.00001337121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1377 = 83*r - 1766 - 338 + 908 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 66  (b) -1\/4  (c) 814\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - 87\/(-12)*-1. Let k = -1.2 + 1.9. Let y = -0.6 + k. What is the closest to y in -2\/11, 1\/3, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -470, -912, -1368, -1844, -2346, -2880, -3452, -4068?\n\"Answer: -o**3 - o**2 - 432*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n. Let b be s(-2). Let f be 0\/(b\/2 - -1). Solve 3*o - 2 - 1 = f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.056*2.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 + 1. Let d(y) = 2*y**2 + 2*y + 1. Let z(a) = -a**3 + 18*a**2 + 13*a + 113. Let x be z(19). Calculate x*g(s) - d(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*b**2 + 15*b**2 - 90*b**2 - 784*b**2 - 480*b**2 in the form r + i*b**2 + n*b and give i.\nAnswer: -1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -273 or -1\/4?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/3 + 308507*x\/3 + 11830510.\nAnswer: -(x - 308622)*(x + 115)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 1 - 2 - 5 + 3*y**2 + 5. What is the lowest common multiple of 5 and u(2)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-2))\/((-1054)\/(-170)*(-15)\/4)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 2824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-52)\/(-20) - 2 - 13\/5. Let v = -29 - -65. Let u = 33 - v. Which is the closest to 0?  (a) 5  (b) q  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 693113*o - 3465572. Determine h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t = -12 - 28 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 140066 - 371131. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c*v**3 + 1474947*c*v**2 - 1122197*v**5 wrt v.\nAnswer: 12*c - 67331820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 63 - (4 + 8 - -77)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52aa (base 12) to base 5.\nAnswer: 242213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -69 - 91. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 310 = -5*u, 5*u - 2*i = 208 + 123. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from rua.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, n: 1, o: 2}. What is prob of sequence on?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 12. Let n = 0.7 - 0.7. Which is greater: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 20 + 6 - 46)*(3*g - g - g).\nAnswer: -g**2 - 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 39*t + 185. Let c be w(-4). Solve q = c - 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 23 + 4 + (0 + -5 - -3). Let d(r) = 25*r**3 + r**2 - r + 1. What is the least common multiple of t\/(-15) - 0 - 266\/(-21) and d(1)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 90 or 632\/7?\nAnswer: 632\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3489.\nAnswer: 3, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*j + 5*k = 78*j + 29, -3*j + 93 = 15*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(891) - 1*sqrt(33)\/sqrt(3).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-20)*(132\/(-27))\/11\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 11*-0.0155357\nAnswer: -0.1708927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 72 - 70. Suppose -4*v + k*y + 41 = 3, -5*y = 25. Solve 3*u + 4*b = -21, -3*u + v*u + 18 = -2*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 127, 146, 177, 220, 275, 342?\n\"Answer: 6*v**2 + v + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 906509 and 285?\nAnswer: 13597635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r + r - 3*r)*(3*r**3 - r**3 - 3*r**3) + 493*r**4 + 2223*r**3 - 2223*r**3.\nAnswer: 494*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54.71 + -1.29. Let d = -53.9 - n. Let j = d + -2.09676. Round j to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**5\/15 + r**4\/24 + r**3\/6 - 70*r**2. Let u(c) = 4*c - 42. Let g be u(11). What is j(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/8 + l**2 + 113*l\/8 + 30.\nAnswer: -(l - 16)*(l + 3)*(l + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -3, -1.\nAnswer: -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 + -32a1f?\nAnswer: -32a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 8222.425 kilometers in nanometers?\nAnswer: 8222425000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 354.168 + -362. Let y = -7.2 - p. Let i = y + -0.7. 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: Let j = -4137 - -41313\/10. Find the common denominator of j and 43\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n - n - 2*k = -13, 0*k + k + 26 - 17 = 3*n + 33 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a week in minutes?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 5 - 7)*(15 - 101 - 8)*(-2 + 4 - 5)*(5*v**3 - 2*v**3 - 5*v**3).\nAnswer: 16920*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 35 = -5*j, -2*j + 1 = -3*q - 4. Which is the biggest value?  (a) -11  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76514892 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.092 - -12.108. Let p = 12 - h. Let u be ((-2)\/(-18))\/(1\/3). What is the third biggest value in p, u, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - m - 13 = 0, 2*m = -5*n + 7*m + 35. Suppose -6*p + 4*p + 1611 = 5*a, 805 = p + n*a. Suppose 5*o + 824 = 4*f, 8*f - 4*f - o = p. Does 30 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 560, 1126, 1694, 2264?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**4 + a**4 + 15*a**2 + 12*a**3 + 6*a + 0*a**4 + 0*a = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 70 and 159152.\nAnswer: 795760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 610*r = 607*r + 60. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 2*i + 32. Let b be w(-13). Let q(x) = 0*x - 2*x + x - b. What is q(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 8, n: 2, c: 1, z: 2, e: 1, r: 3}. What is prob of sequence nn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sssr when four letters picked without replacement from rsrrsrrrsszssrrsrr.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)\/sqrt(588))\/((sqrt(11) + sqrt(99))*2) - (((-1*sqrt(363)*2 - sqrt(363)) + sqrt(363) + 1)**2 + 4).\nAnswer: -1457 + 2465*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, q: 1, e: 9}. What is prob of sequence mq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -46 + 50. Let k be t\/20 - 14\/(-5). Solve -11 = -k*b - x - x, -x - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 9*w. Let y(v) = -114*v**2. Give y(o(j)).\nAnswer: -9234*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, 7, 0.02972, 34?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 132651613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -200\/7*j + 528\/7 + 50\/7*j**3 - 124\/7*j**2 - 2\/7*j**4 = 0.\nAnswer: -2, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 27, 83, 169, 279, 407, 547?\n\"Answer: -k**3 + 21*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -201230222 (base 4) in base 6?\nAnswer: -2543002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 5841805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(396) - -5*sqrt(396)*1) + sqrt(396))*-4*-1 - (-5 + (-2 + sqrt(396) - sqrt(396)) - (sqrt(396) + (2 + sqrt(396) - sqrt(396)))*5))**2.\nAnswer: 40392*sqrt(11) + 2589198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5367 is divided by 834?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416 is divided by 106.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/3 + (8 - 29\/((-348)\/(-72))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4 = 5*t - 10, 3*q = 3*t. Let g(h) = -h**3 + 6*h**2 + 2*h + 3. Let c be g(q). Let r = -29 - -83. What is the greatest common divisor of c and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 284\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/(-252))\/(2\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)*(p*(p\/p**(1\/2))\/p)\/p)**(2\/11)*(p**(-5)*p**5)\/(p*p\/(p**(2\/7)\/p*p))**(-38) assuming p is positive.\nAnswer: p**(4911\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 5:07 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -544*x + 6957 - 10765 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 694\/9 - 4840\/63. What is the closest to m in 1\/10, 0.5, -1.1, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1571)\/(-10997)*714\/(-24)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*h - 47*h + 24*h + (2*h + 2*h - 3*h)*(-2 - 2 + 2) - h + 3*h - 4*h + 0 - h + 0)*(-2*h**2 + 5 - 5).\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4937*p**3 + 18*p**3 + 1334*p**3 + 6229*p**3.\nAnswer: 12518*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 447582997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -30203, -60407, -90611?\n\"Answer: -30204*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - u - 512189 + 512109 = -0*u, -8 = -2*u for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 38 = -4*q, -4*f - f + 25 = 0. 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 q(o) = 12*o. Let i(b) = -b**2. Calculate i(q(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5226890983 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 1739.\nAnswer: 4\/1739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124421 is divided by 695.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3480*o*q**5 - 103*o*q - 52*o + 2*q**5 wrt q?\nAnswer: 69600*o*q**3 + 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*f - 7, -2*k + 15 = -3*f. Suppose -k*z - 30 = -2*w, 3*z + 2*w + 30 = -2*w. Let h = 8 - z. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105572024 is divided by 12118.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 282\/19 - 2202\/133. Is n bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 248029 = 2*z - 248105, 21 = -10*s + z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 795473216?\nAnswer: 2, 23, 251, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 3*j = -168, -101819 + 101853 = -2*a - j for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes before 8:51 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 22531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 94 - 100.07. Let l = x + -0.73. Let o = l - -6.79951. Round o to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -4\/7, 1, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (-96 + 3 + 204 + -191 + (8 - -1))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22235 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**4\/12 + 2*o**3\/3 - 7*o**2\/2 - 2*o. List the prime factors of z(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 194999 and 24727.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 + 22. Let b(g) = 3*g - 5. Let a be b(y). Differentiate -25 + a + 14*s + 28 with respect to s.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 29 = -143. Let f = 6\/13 - -556\/91. What is the common denominator of f and 4 + (-3)\/(-24)*j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d + -8b36?\nAnswer: -8b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -55351*j**2*o*p**3 - 70533*j**2*o*p**2 - 5*o*p**3 + o*p**2 - 3*p**2 wrt p?\nAnswer: -332106*j**2*o - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -230 + 230. Suppose f = -m + 942 - 167. What are the prime factors of m?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5, 15, 49, 97?\n\"Answer: 7*h**2 - h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/62032864 and 11\/4105116.\nAnswer: 558295776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = 2*y + 2*c - 4*c, -4*c - 236 = -5*y. Suppose l = -q + 3, -4*q + 4*l - 3*l = -27. What is the greatest common divisor of y and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28944996 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/9312493 and 47\/15790749.\nAnswer: 363187227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 3  (b) -2  (c) -0.1  (d) 3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 191*i + 2584. Calculate r(191).\nAnswer: 2584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1910*k + 2260*k + 2582*k = 7439*k - 69387 for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 1845277*p + 4151853.\nAnswer: (p + 461317)*(4*p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87663 + -9643033\/110. Let u = -3\/22 - j. Let w = -0.3 + 0.8. Which is the third biggest value?  (a) u  (b) -3  (c) w  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3113 divided by 58.\nAnswer: -3113\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-294)*-30*-7.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -12*l - 2. Determine w(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -183 - -185. Let i(w) be the second derivative of 23\/12*w**4 - 6*w + 0 + 0*w**3 + 0*w**l. Let m(c) = c**2. Give m(i(n)).\nAnswer: 529*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 903973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 30 - (-1 + 0 + 4 + 1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (187*t - 31*t + 142*t)*(3*t + 0*t - 5*t)*(-5 + 1 - 1).\nAnswer: 2980*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.064509 + 1198?\nAnswer: 1198.064509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2\/24241  (b) 1\/6  (c) 1  (d) 0.4  (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 8) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, r: 1}. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*r**2 + 28408*r + 11360.\nAnswer: 4*(r + 1420)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000005053 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 = 2*o - 155. Suppose -211 = -2*b - o. Let u = b - 54. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/5624 and 79\/455962?\nAnswer: 67482376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**2 + 26*n + 8. Let x be t(-5). Solve -2*w + 4*y - 16 = 0, 5*w - 8 = -x*y + y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - ((-24 - -13 - -20) + -36).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9\/17 - 69\/34. What is the smallest value in n, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63 + 45. Let j = 15 + -8. What is the common denominator of (-2)\/j - 424\/(-63) and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 i, and 2 e when four letters picked without replacement from {g: 1, h: 3, z: 1, i: 3, e: 5, y: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*j - 23 = 11*j - 4*p, 0 = -2*p - 4. Calculate the greatest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*o**2 + 0*o**2 + o + 25*o - 3*o**2 to a*o + q*o**2 + u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -4 + 2*j - 3 + j - j. Let g(f) = -1. Let x be (1 - (-2 + 1)) + -6. What is x*g(k) + l(k)?\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 13*r + 190. What is the remainder when y(12) is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -18cc?\nAnswer: -18ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4764311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s. Let d(n) = -3*n**2 - 27*n. Let i(o) = 2*d(o) + 54*w(o). Let p(f) be the third derivative of f**5\/30 - 12*f**2. Calculate i(p(k)).\nAnswer: -24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -27 - -26.48. Let j = 118405 - 118405.52021. Let x = j - h. Round x to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (18 - 8)) + (51 - (3 + 22)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1858, -1840, -1802, -1744, -1666, -1568?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2487 - 1539. Suppose -v + 14591 = 7*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18534750 and 96951?\nAnswer: 5703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4368 and 2737456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 14745 and -5.\nAnswer: -73725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 4*l - 5 = -l, 0 = -2*b - 4*l + 30. Suppose -3*s + 10 = -b. Suppose 3*y - s*d = 101, -y = -0*d - 2*d - 34. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 42*m + 55*m - 256 - 1587 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 56*o**3 + 6*o**2 + 6*o - 21. Is t(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2825030 by 35.\nAnswer: -565006\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/12 and -13\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**4 + 15270*m**3 + 46020*m**2 - 504230*m - 534975 = 0. Calculate m.\nAnswer: -7, -1, 5, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 m when three letters picked without replacement from ghgzfmgmmmmfmmgmggm?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 11 + 5 = 0. Suppose -57*p = -55*p - 40. Suppose -27*k + 7 = -p*k. Sort x, k, -1 in decreasing order.\nAnswer: x, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -29886 + -3?\nAnswer: -29889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 153521859.\nAnswer: 921131154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -30*151000\nAnswer: -4530000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20735 and 1430.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + a**2 + 3*a)*(271*a - 45701 + 45701).\nAnswer: 271*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -61*l**2 - 51*l**2 + 23*l**2 - 454*l + 453*l - 52 wrt l.\nAnswer: -178*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -3195*q. Let x(f) = -20*f**2. Give t(x(h)).\nAnswer: 63900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3 = -2. Let u(y) = 2*y - 4. Let g be u(c). Is (g\/6)\/((-3)\/(-2661)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1759 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 762, 1370, 1828, 2136, 2294?\nAnswer: 2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 167 + -152. Solve -j = 3*n + 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**2 + 4*b - 7. List the prime factors of n(5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2821513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29352, 29319, 29286, 29253?\nAnswer: 29220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*s**2)*(2*s**3 + s**3 + 14*s**3).\nAnswer: 34*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.1, 0.4, 18\/7, 41222, 3 in decreasing order.\nAnswer: 41222, 3, 18\/7, 0.4, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66651486 divided by 24631.\nAnswer: -2706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 10a + 295?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*u - 4*n - 30, 397*n = -10*u + 398*n - 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 260*j**2 - 10*j - 1. Is f(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10499\/52 - 36684\/13. Is -3023 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 + 6*c**2 - 15. What is h(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2526599993 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77)*-3)\/(sqrt(22)\/sqrt(2)*-2).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 16, 4*w - 6*v = -v + 108. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 7:25 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 41385648 a multiple of 1311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 159506\/(-56) + (-1)\/4. Let z = -2855 - h. Let a = -2\/24809 - 1314857\/248090. What is the common denominator of z and a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/7152)\/(-1 - 7\/(-4)). Does 1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10880816?\nAnswer: 2, 17, 109, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8308*i + 8316*i + 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 73417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000037102 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7*s**2 + 0*s - 4\/7.\nAnswer: (s - 2)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.76 - 0.94. Let w = s + 6. Let f = w - -3.7. Sort f, 0.2, 1\/3.\nAnswer: 0.2, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - v - 2 - 2)*(-3 - 1 + 7)*(-1 - 6 + 2) + 0*v - 4*v - 3*v.\nAnswer: 8*v + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32 - 28. What is the nearest to -8 in v, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(234) + 1*sqrt(234) - sqrt(234))\/sqrt(2)*-3 - 1*(sqrt(13) + 4 + 3*sqrt(13))**2*-2.\nAnswer: 55*sqrt(13) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-2) - 2\/4)*-2. Calculate the common denominator of 16 and (-6)\/360*-319 - c\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 9 + -3 - (-13 + (47 - -21))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y. Let h(d) be the first derivative of -d**2\/2 + 22. Determine h(f(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102346 + 94924 + 82198 + 2*v**2 - 67152.\nAnswer: 2*v**2 + 212316","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.8090881 rounded to 3 decimal places?\nAnswer: 26.809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*0.0039.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84287 = -12978*n + 4123*n + 51495 - 144308 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**3 - 9*x**2 - 15 - x**2 - 5 + 7*x**2 - 2*x + 4*x**2 to the form u*x**2 + z + i*x**3 + s*x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5465, -11181, -16897, -22613, -28329?\nAnswer: -34045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -2*r - 4. Is (9 + (r - 1))*17 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, w: 7}. Give prob of sequence yw.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*o = 43*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4312044 - 4?\nAnswer: -4312051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/18 - (-26)\/30. What is the second smallest value in -2\/7, b, 1, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11633 - -1?\nAnswer: 11634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 9:58 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 18\/153487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4345110 rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -26982 times -0.019?\nAnswer: 512.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 - -12. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of -r**5\/5 + 109*r**4\/4 + 27*r**3 - 152. Find the third derivative of n(d) wrt d.\nAnswer: -24*d + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c + 0*c + 2*c**2 + (2 - 2 - 2*c)*(2*c + c - 4*c) + 4*c - 4*c + 2*c**2 + 4*c**2 - 12*c**2 + 5*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from onnnofoofffo. Give prob of sequence onff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*o**2 + 22*o - 40 = 0. Calculate o.\nAnswer: -5, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -15215445 equal to -15215429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41 - -37. Does 6 divide 0 + (-134)\/v + (-14)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-3)*4\/150*-18?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - -2) + -2 - 3. Let l be 2 + 2\/i + 5. Let n(q) = 2*q - 6 - q**2 - 2*q + 6*q. Determine n(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1184 divided by -592.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 4*r = 56. Suppose 5*j = -r - 1. Let a = j + 26. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 5, 237, -76 in ascending order.\nAnswer: -76, -5, 0, 5, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2.11. Let w = i + -4.11. Which is the closest to 1?  (a) w  (b) 1\/3  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c. Let m(z) = 84*z. Calculate s(m(b)).\nAnswer: -168*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 140 = -5*n, 7*n + 129432 = 2*w + 129502 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -4 + 65*w**2 - 3 + 5. Let v(k) = -k**3 + 3*k**2 - 3. Let b be v(3). Is f(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -271.04706 + 271.71. Let c = -0.666 + b. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4000000 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -8. Let j = 27 - p. Suppose c = j - 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 545, 524, 495, 464, 437, 420, 419, 440?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 36 - 30. Let i = 0.2 - -0.3. Which is the closest to 0?  (a) 0  (b) z  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -341*l + 4 + 53 + 61 - 19. Suppose -y - 3 = 3. Let a(s) = -17*s + 5. Let p(d) = y*v(d) + 121*a(d). What is the derivative of p(c) wrt c?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/(-3))\/((-15)\/144*-4). Is w greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*o = -189*o + 344*o - 5*g + 7, 4*g - 17 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*g**3\/2 - 71*g**2\/4 - 621*g\/4 - 423\/2.\nAnswer: (g + 2)*(g + 3)*(14*g - 141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -2 + 3 + -4. Let x be (-4)\/u + (-27)\/15. Suppose -25*y + 29*y - 4 = 0. Which is the closest to y?  (a) -0.3  (b) -1\/4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a + 39 = 15*a + 139 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6693521, -13387051, -20080581, -26774111?\n\"Answer: -6693530*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -0*d - s - 17, 0 = -2*d - 3*s - 34. Let l = -9 - d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 6. Let f be z(-10). Suppose -f*i + 5 = -3*j, -3 = i - j - 4. Suppose 2*n = -3*w + 31, -i*n + 12 = -2*w - 24. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8)\/sqrt(4) + -2 + -6*(sqrt(2) - (-1*sqrt(2) + sqrt(2)))**2 + 5 + sqrt(22)\/(-3*sqrt(11)).\nAnswer: -9 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the third derivative of k**5\/60 + k**4\/6 + k**3\/2 + 7*k**2. Give c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m - m**4 - 2*m + (-3 - 2*m + 3)*(-m**3 + 0*m**3 + 0*m**3) + 2*m**4 - 3*m**2 + 3*m**2 + (-m**3 - m**3 + 4*m**3)*(-16*m - 30*m + 10*m).\nAnswer: -69*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1821, -1818, -1815, -1812, -1809?\n\"Answer: 3*b - 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 11*j - 10*j - 2*j**2 - 6*j + 29*j + 1. Let w(q) = q**2 - 9*q + 15. Let i be w(6). Calculate o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 2*m = -6*m - 20, 0 = 4*m + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*p + 11*p - 11*p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxexeexxxkexxxeexxke. Give prob of picking 3 x.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60747, -242979, -546663, -971799, -1518387?\nAnswer: -2186427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 812801688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**3 + 2387*f**2 - 591926*f - 14608440 = 0. What is f?\nAnswer: -990, -68\/3, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(4\/5))**(6\/11)*(z*z*z**(3\/7))**(1\/21))**(-2\/5) assuming z is positive.\nAnswer: z**(-8926\/40425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 6*c**3 + 235*c**2 + 49*c + 331. Give z(-39).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + b - 1 = 0, -2*z + 21 = -5*b + 4. Let k be (-4 - -7)*(0 + z). Find the second derivative of -30 - 31 + 11*y + 12*y**k + 61 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 5*c - 27*b + 24*b, 0 = -4*c + 4*b - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 282676 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2*f + 344 = 0. Is 7\/(-7) + f\/(-2) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 43\/14 + -39\/14. Is -77 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40202969921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -416\/35 at most as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 415944 and 190968.\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/30 - (-32)\/6. Let o = -16\/79 + 207\/632. Which is the closest to -2?  (a) -4  (b) o  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 8*o - 7. Let j be f(6). Let u = 1 + j. Suppose -u*k + k = -20. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/2*-8 - -136. Let y = 185 - s. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes before 3:43 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -811343*q - 6. Suppose 52 = -4*o + 28. Let w be y(o). Let r = w - -5331948. Round r to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*s**3 + 2*s**2 - 3*s**2 - 25*s**3 to the form d + x*s**2 + w*s + q*s**3 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 70 + -10. Let t be -7*(g\/(-21) - -2). Calculate the highest common divisor of t and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s + 3*s + 3*s)*(1 - 1 - 2*s)*(1 - 7 - 1)*(2 + 0 - 4).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/15 + 26\/(-12))*-2. Suppose -3*b = -4*o + 24, 0 = d*o + b - 2 - 9. Solve -5*s + 15 = -m, -o*m - 5*s + 0*s = -35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 244 = -5*w. Let x = w + -39. Is x 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 118405?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d + 9. Let a be l(13). Is a\/(-20) + 3470\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5038298 and -1?\nAnswer: 5038298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 - 12*g + 9. Is 15 a factor of m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - 5*a**3\/6 + 4*a**2 + a. Let u(q) = q**3 + 8*q**2 + 11*q - 12. Let t be u(-6). Give b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 AM and 11:42 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Do -27 and -2747 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32*l**5 + 1 - 7 + 24*l**5 + 57*l**5 - 5*l wrt l?\nAnswer: 2260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(343) - (-2 + sqrt(343))**2)*3 + 5 - 1*(sqrt(343) - (sqrt(343) - (-1 + -2 + sqrt(343) - sqrt(343)))**2).\nAnswer: -684 + 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -210\/59?  (a) 5  (b) -10  (c) 3\/2  (d) 2\/127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**3\/21 + 136*c**2\/21 + 472*c\/7 + 192 = 0. Calculate c.\nAnswer: -56, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 - 20 - 20 + 2)*(3 - 3 - 4*b) as h*b + x and give h.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -179 + 181. Put l, -1, -61 in ascending order.\nAnswer: -61, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 113253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -40 and -114 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iizanjc. Give prob of sequence ic.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 - 86*l**2 + 166*l + 171. Determine v(84).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 3\/8, -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**2 - 8*l**3 - 7*l**2 + 4*l**3 - 3*l.\nAnswer: -4*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 63791 - 25360. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3528459 and 2088?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29.9 + -31.9. What is the nearest to -0.01 in -5, -0.05, l?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 152*u**3 - 80*u**3 - 38*u**3 - 91*u**3.\nAnswer: -57*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 10*b**2 + 7*b - 2. Let p be x(-1). Let t(h) = h**2 + 7*h + 13. Let w be t(-3). Sort -1, -12, w, p in increasing order.\nAnswer: -12, -1, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8204.310416 rounded to the nearest 10?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24214 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 7*s**2 + 14*s + 4. Let x be d(-4). Is (-4 + 5)*x + 801 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 12461453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -5*s + 0*s**2 + 0 + 4\/15*s**3 + 0*s**4 - 1\/50*s**5. Find v, given that d(v) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 115*w - 7. Calculate the remainder when c(1) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**3 - 7*s**2 + s. Let h(l) = -l**3 - 5*l**2 + 4*l - 10. Let c be h(-6). Let d = c + 3. List the prime factors of g(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -6*n**2 + 41. Let j(a) = 5*a**2. Calculate j(o(k)).\nAnswer: 180*k**4 - 2460*k**2 + 8405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/(-1755))\/(4\/(-9))*2.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 7706.82 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-10)\/8)\/((-2)\/(-8)). Let b = r + 3. Calculate the common denominator of b\/2 + 110\/14 and -13\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = -5*n + 3*r + 25, -5*r = -20. Let w be (-4)\/(n + 9\/(-6)). Suppose w = 2*t + x, x + 39 = 5*t + 5. Calculate the greatest common divisor of t and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 0. Let q(d) = -d**3 - 4*d**2 - 3*d. What is q(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 11*y**2 + 6*y + 3. Calculate p(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-264)\/(-54) - 5 - 7\/(-63)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3953 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 11. Let c(i) = -i**2 + 7*i - 3. Let u be c(h). Let v = -3 - u. Is 3 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (252\/54)\/((-4)\/(-18)*-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 3506\/713751?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5580 = -221*a + 118*a + 196*a. Suppose 5*g + 28 = l, 0*l + 2*g = -2*l + 56. Calculate the remainder when a is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -10*c**2 + 26*c - 12. Give n(8).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -839819.15 rounded to the nearest 1000?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4340452627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.44182826 rounded to 1 decimal place?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 14*y**2 - 2 + 6 - 1. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 2*s**2 - s. Let p be g(-2). Solve -p*d - q + 2 = 0, 2*d - 2 = -4*q + 5*q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 509341302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108, 216, 324, 432, 540?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -5*q**2 - 3*q + 2. Calculate a(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24.04 - -0.04. Let r = s - -27.5. Let l = -3.500000796 + r. Round l to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 925345, 1850604, 2775861, 3701116, 4626369, 5551620?\n\"Answer: -l**2 + 925262*l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05308 times 164?\nAnswer: 8.70512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 2*p + 2. Let s(n) = 6*n**2 + 5*n - 5. Let g(v) = 5*c(v) + 2*s(v). Let i(z) = -28*z**2. Determine i(g(u)).\nAnswer: -252*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 86 = 3*s + 291, 4*z = s + 739. Is z a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 4, -79, 0.1 in ascending order.\nAnswer: -79, 0.1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + (-5 - (-61 + 1)). Let p = 111 - z. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of 1521*i**5 + 2379*i**2 - 2968. What is the second derivative of g(r) wrt r?\nAnswer: 91260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6045657299 + 0.4\nAnswer: 6045657299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*q**3)*(0 + 3 + 0) + (-2*q**2 - 2*q**2 + q**2)*(4*q - 3*q + 2*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2550 divided by 1?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 3104593.32 to the nearest ten thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 68*r - 75*r - 21. Put -4, 1, -8, r in increasing order.\nAnswer: -8, -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44.5 + -56. Let o = -52.5 + l. Let r = -63.946 - o. What is r rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 16 = -2*n, -f - 20 = -6*f. Let p(t) = 13*t. Let x(b) = -2*b. Let v(w) = -p(w) - 6*x(w). What is v(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2221110021 - -111?\nAnswer: 2221110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**3 + o**2 + o. Suppose 4 = -v - 3*v. Let c be h(v). Put 5, 2, c in descending order.\nAnswer: 5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**(2\/61))*w)\/(w*w\/(w\/(w*w\/(w**(-26)\/w)*w))) assuming w is positive.\nAnswer: w**(-1828\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 59*w**6 - 186*w**2 + 10*w**6 + 17*w**6 - 29*w**2 wrt w?\nAnswer: 10320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.05 in -16, -3\/17, 0.4?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90387.\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from {f: 3, d: 4, x: 1, v: 5, j: 3, e: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 521286423?\nAnswer: 3, 7, 41, 605443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 62276199 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -583*b - 16757. What is q(-28)?\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 43930 + -79\nAnswer: 43851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/1405 and 53\/25.\nAnswer: 7025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -203 + 215. What is the smallest common multiple of o and 382?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 260963.2l to millilitres.\nAnswer: 260963200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 106 + -341. Let o = 234.99415 + t. Let v = 0 + o. Round v to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.004023 + -12704299\nAnswer: -12704299.004023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/13752 and -1\/3960.\nAnswer: 756360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 302\/17  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, -0.631, -3, 4 in descending order.\nAnswer: 4, 5\/4, -0.631, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**4 + c**4 + 0*c**4 + (-26*c**3 + 50*c**3 - 22*c**3)*(2*c - 2 + 2).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1230556 (base 7) to base 14.\nAnswer: -41bd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 10*w**2 - 6*w - 8. Suppose 0 = -2*o + 7*o - 5. Let n(b) = b**2 - b - 1. Calculate o*g(j) - 8*n(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -8*s**3 - 158*s**2 + 34*s - 49. What is x(-20)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16234109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20789*d = -2026477 - 804250 + 481570 for d.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 0.14, 0.02, 0 in descending order.\nAnswer: 0.14, 0.02, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5876 equal to 5875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - z + 7746, -996 = -3*x - 2*z + 3653. What are the prime factors of x?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.6  (b) 3  (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -48 (base 16) to base 4.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10074\/11 - -916. Which is the fourth smallest value?  (a) 2\/43  (b) -4  (c) k  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 4 - 0. Let d be 19\/w - (-2)\/(-4). Suppose 9*h - 8*h - 2 = 0, -5*n = -3*h - 129. Calculate the greatest common factor of n and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i + 2 - 3*i**4 + 3*i - 4 + 2*i**4 - 2*i**3 to the form r*i**2 + z + w*i + q*i**4 + c*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 878 + -263. What is the greatest common divisor of b and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lolllloll. What is prob of picking 4 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**3 - 56*o**2 - 9*o**3 + 56*o**2)*(-6*o + 6*o + o**2).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/11  (b) 0  (c) -2  (d) -1\/8  (e) 1\/4  (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13448414, 26896841, 40345268, 53793695?\nAnswer: 67242122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -71903.09476 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of 574.8581 and -0.3549.\nAnswer: 574.5032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c - 19952 + 19952. Let o(j) be the second derivative of -2*j**3\/3 + j**2\/2 - j. Give 3*f(r) - 2*o(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**3 - a**3 + 0*a**3 + (0 - 3 - 3)*(-3*a**3 - 4*a**3 + 6*a**3).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o - o**2 + 2*o - 5 + 2*o. Let s be d(7). Suppose -g + s = g. Sort g, 2, 4 in descending order.\nAnswer: 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*z**3 + 28*z**3 + 6*z**3 + (-3 + 3 + z**3)*(1 + 1 - 1) in the form i*z + x + j*z**2 + m*z**3 and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hoochocodc. Give prob of picking 1 c, 2 h, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 700684 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75567 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181236166?\nAnswer: 2, 90618083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17743 + 21977. Is 146 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10*3\/(-12)*-2. Suppose -10\/9*g**3 - 4\/9*g**2 + 0*g + 0 - 2\/9*g**s - 8\/9*g**4 = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxuxxuxxxxuxx. Give prob of picking 1 u and 2 x.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24768 is divided by 3079?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - ((2 - (7 - 14)) + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, b: 4, r: 6}. Give prob of picking 1 r, 1 f, and 2 b.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - x**2 + 21*x - 43. Give q(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 AM and 4:55 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 456736.5787 to the nearest 100.\nAnswer: 456700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {l: 11, m: 7, b: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/1*47\/(-94).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from zzllzlzvvlllllsll.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 2 + 10. Solve 6*d - 5 = 3*p + d, u*p - 4*d = -12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 g when three letters picked without replacement from {h: 1, p: 2, g: 5, v: 7, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 843?  (a) 615  (b) 0.9  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33*7\/539*30\/3?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(1\/11)*a)**39*(a**(3\/5))**(7\/9) assuming a is positive.\nAnswer: a**(13532\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4239323 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 98 + -28. List the prime factors of q.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 3*l + 2*z - 4*z + 3 + 14, 2*z - 55 + 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19307\/20 + 963. What is the common denominator of a and -55\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v - 2. Determine p(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/(b\/b**(-16)))\/(b\/(b*b\/(b\/(b*b*(b*(b**(-2\/15)\/b)\/b)\/b)*b)*b*b))*(b\/(((b\/b**17)\/b*b)\/b)*b)\/(b**(-14)*b) assuming b is positive.\nAnswer: b**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 447\/1402 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2*o - 260 = 0, 5*y - 3*o + o = 436. Calculate the greatest common factor of 110 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*r**3 + 5*r**3 + 12*r**3 - 32*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 93714.74mm in meters?\nAnswer: 93.71474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/520 and -97\/1144?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - k**2 + 0)*(-34*k + 5*k + 10*k) to f*k + x*k**3 + v*k**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -13506 and -13539 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -252951, -505877, -758807, -1011741, -1264679?\n\"Answer: -2*d**2 - 252920*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a*r**3 - 2*a*r - 40742953*a + 5290521*r**2 wrt r?\nAnswer: -3*a*r**2 - 2*a + 10581042*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, e: 1, u: 2, i: 1}. What is prob of picking 2 u, 1 e, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-2)*-4)\/sqrt(12) + -5)**2 + -2.\nAnswer: 120*sqrt(11) + 1607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10035069 is divided by 23893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (22\/4)\/((-1)\/2). Let q be (0\/(-3))\/2 - -19. Let y = h + q. Calculate the least common multiple of y and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of -w**4\/2 - 32*w**3\/3 - 52*w**2 - 96*w + 9. Suppose n(q) = 0. Calculate q.\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/(-7)*485\/(-20) and (-1116)\/(-7254) + 1501\/468.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 divided by 7105.\nAnswer: -6\/1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*l - 12 = -l, 5*x + 4*l = 16. Let t = 3 - 1. Find the second derivative of 7*c - c**t + x*c**2 - 3*c + 5*c**2 wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -823\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5 = -0*s - s, 4*l + 5*s + 11 = 0. What is the tens digit of ((-32)\/(-40))\/(l\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -34 + -26?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 6*h**2 + 2*h + 4. What is the units digit of v(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 10*p - 22. What is l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**3*q**3 - 773*c**3*q + 10*c**2*q**4 wrt q?\nAnswer: -6*c**3*q + 120*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -125 - -139. Let y(h) be the second derivative of -3*h**5\/20 - h**4\/6 - h**2 - 8*h. Let p be y(-2). Does p = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m + m + 3*m)*(-1 + 1 - 2*m) - 2*m**2 + 5*m**2 - 2*m**2 + m**2 + 0*m + 2 + m - 3.\nAnswer: 4*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 3*d - 1 = 0, 14*d - 11 = 7*c + 11*d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 9*w**3 - 12*w**3 + 0*w**3 to the form m*w**2 + y + h*w + n*w**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/30 and 121\/2610?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -82 + 85. What is the biggest value in 2\/29, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -64\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 2:46 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14758 - 14759. Which is smaller: l or -10\/1309?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28881, -28862, -28847, -28842, -28853, -28886?\nAnswer: -28947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - h - 1 = -v, -2*v + h = 2. Let a(s) = -43*s + 4. Is a(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -625, 519, 1939, 3641, 5631, 7915, 10499, 13389?\nAnswer: 16591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f**2\/8 + 306159*f - 3673854 = 0. Calculate f.\nAnswer: 12, 816412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 77478 and 2.\nAnswer: 154956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-12))\/((-4)\/(-114)). Let i = -10 - 8. Let l = i + t. What is the lowest common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 21*p**2 + 79*p + 29. Let q be o(-17). Is q > -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*o = -18*o + 5. Suppose -13 = l - 4*l - 2*h, -4*h + o = -l. Let m be (6\/l - 68)*(-423500)\/(-33). What is m rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -952595*j - 17098733*j + 4194349*j.\nAnswer: -13856979*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.084 - -1.966. Let k = o + -0.05. Let z = -29 - -24. Which is the third smallest value?  (a) z  (b) -2\/5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1636*n + 213*n + 2863 = -9247 - 19196 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 24*j = 0. Let t = 51.99 - 52. What is the smallest value in t, 0.1, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 - (-7 + ((-51)\/(-9) - 2)). Sort -3\/5, 6, -2, 0.05, z in increasing order.\nAnswer: -2, z, -3\/5, 0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 454298292 and 378?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2277e + -1e?\nAnswer: -2279d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -685, -5, 3, 2 in ascending order.\nAnswer: -685, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 5321.497g?\nAnswer: 0.005321497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of z**7\/42 - z**6\/10 + z**4\/6 + 7*z**2\/2 + 29*z. Find the third derivative of y(q) wrt q.\nAnswer: 60*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 193 + 5?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 15 = 5*f. Suppose -2*k = 2*r - 104, f*r + k - 162 = -0*r. Let l = 27 - -2. Calculate the remainder when r is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (50 - 55)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (38\/(-10))\/((-3 - 5)\/40)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56 divided by -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -5*s - 23. Let d be (-80)\/s + 2\/(-6). Suppose 4*f - 25 = 5*l, -2*f + l + 2*l = -d. What is the smallest common multiple of f and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -43706328160 - -43706365242.421083. Let r = b + -37082.6. Let q = r + 0.179. Round q to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -63, -115, -169, -225, -283?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 245 - 242. Differentiate -v**2 + 7 + 0*v**2 - 67 + 49*v**3 - 40*v**k with respect to v.\nAnswer: 27*v**2 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/6)\/(806\/(-124))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -21*x**2. Let b = -30 + 49. Let r(h) = 5*h**2 - b*h**2 + 11*h**2. What is -4*l(p) + 27*r(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-32)*-19*-8. Calculate the remainder when 30402\/342 + 2\/s - 3 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -11*f. Let h(j) = 5*j + 2. Let m(d) = -10*d - 5. Let w(r) = 15*h(r) + 6*m(r). Calculate w(p(g)).\nAnswer: -165*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + m = j + 44688, m = 2*j - 89376. Suppose -4*h = -4*d + j - 132, 5*h = 5. Round d to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y + 19*y = 899. Let j = -605 + y. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*g**6 + 435139*g**3 + 132*g**2 - 5*g + 32.\nAnswer: 960*g**3 + 2610834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**2 + 17*u + 161. Let j be t(21). Which is bigger: 82 or j?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 468 and 64\/((-45)\/(8775\/(-30))).\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnanaaanaaannnnnenn. Give prob of picking 3 a.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 29 = -m - 4*d, -3*d - 122 = -5*m. Calculate the highest common divisor of 10 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 1  (b) 2\/31  (c) 5  (d) 6\/5  (e) 3  (f) -1  (g) -4\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 37*i - 263. What are the prime factors of m(13)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.381902 to three decimal places.\nAnswer: 1.382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 3:02 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 6 = 0, v - 6*v + 60 = -5*m. Suppose -b + v = -s + 6*s, -4*s = -12. Which is smaller: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*h - 8 - 2*h + 23 - 2 to r*h + d and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 138233 and 1009?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 27*p + 15. Let g(w) = -7*w - 4. Determine -4*d(f) - 15*g(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1442302318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 422 divide 13138449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49483 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + 3*x - 98*x**2 + 99*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -151 + 178 + (22 - 9)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 2 p, and 1 b when four letters picked without replacement from bobbbbblpbbbp?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(128)*4 + 1 + ((sqrt(128) - (sqrt(128) + 1 - sqrt(128))) + sqrt(128) - sqrt(128))*-5 + sqrt(128)))**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**2\/2 + 3*k - 4. Let x be p(2). Let q = x - 2. Is 0 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -0.325.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 + -50. Let q = m + -22. Let l = -4 - -1. Which is the second smallest value?  (a) q  (b) -4  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 147, 548, 1339, 2652, 4619?\nAnswer: 7372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.4  (b) -1\/22  (c) 0.14  (d) -0.3  (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 194825474 rounded to the nearest 100000?\nAnswer: 194800000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*b - 3*y + 314 = 0, -5*y + 626 = 2*b. Suppose -784 = -2*u - 3*u + 3*j, -b = -2*u + 4*j. List the prime factors of u.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9*z + 36 = 5*z, 4*a + 3*z - 1 = 0. Let x(i) = 27*i**2 + 2*i + 5. Is x(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(136))\/sqrt(8) + -1*(sqrt(1088) + sqrt(17)) + (-5 + sqrt(2057) + 0 + -5)**2.\nAnswer: -227*sqrt(17) + 2157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -7. Suppose m = -5*x - 5, -4*w - 3*x + 30 = -x. Let g = -5 + w. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/(-3) + (-57)\/(-76) + -6*34\/144.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10762+-174.4\nAnswer: 10587.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 18 = 2*w, -w + 49 = 2*t + 3*t. Let v be (1 - t\/2) + 58. Let g = v + -38. What is the lowest common multiple of 40 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 9 = 4*l - 2, 18*u - 2*l = 92 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -4*x**3 - 20*x**2 + x - 4. Give y(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19458238*d**3*w**2 + 2*d**3*w - 229*d*w**2 + 45985*d*w wrt d?\nAnswer: -116749428*d*w**2 + 12*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -119997356 divided by -29999339\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j + 124. Suppose -5 = -5*t, -4*u = 2*t - 4*t - 58. Let a(r) = -u*r + 13*r + 9 - 9. Give s(a(g)).\nAnswer: 2*g + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19954 and 52606?\nAnswer: 578666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 320955912?\nAnswer: 2, 3, 193, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j**2 - 56*j + 3. Let p be o(-27). Let k = p + -61. Let l = 2\/213 - -625\/1491. Which is the fourth smallest value?  (a) k  (b) 1\/7  (c) l  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33314 (base 5) in base 9?\nAnswer: -3173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 394695126 to the nearest one hundred thousand.\nAnswer: 394700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*b**3 - 1)*(2*b + 3*b - 6*b)*(-5*b + 0*b + 2*b - b + 4 - 4 - 1 + 1 - b - b + 1 - 1 - 3*b - 2*b + 3*b + (2 + 1 - 4)*(0*b + 3*b - 4*b) - b - 2 + 2).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 144 and 1701.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-9\/2)\/k**(-1\/9))\/(k*k*k**(-11)*k*k*k*k**(3\/2)))**(-9\/11) assuming k is positive.\nAnswer: k**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g**2 - 3*g**2 - 36 - 17*g**2 - 66*g + 38.\nAnswer: -24*g**2 - 66*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g = -39*g + 2477054. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**2\/11 - 26226*o\/11 - 4418852 = 0.\nAnswer: -10879, -2234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w + 0*w - 2 + 2*w + (-w - 1 + 1)*(-3 - 1 + 2) - w + 3*w - w.\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 42 + 74 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.105 - -6.055. Let z = u - 2.92. Let m = z + -0.03. Sort 5, m, -2 in descending order.\nAnswer: 5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 9*x**2 - 13*x - 20. Calculate the smallest common multiple of v(-10) and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.071+-1.2\nAnswer: -1.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l - 1. Let w = -19 - -2. Let o = w + 25. Suppose 20 = -5*d, -3*b - d = -7*b + o. Determine c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 2*k + 18 = -38, -10 = -2*k. Let m = v + 63. Calculate the remainder when 59 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.2 - 4.2. Let g = 0.055 + 3.945. Which is the second biggest value?  (a) g  (b) -2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (3 - 4) - (3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 168 = 11*b. Let a be 26\/8 + -3 - (-22)\/b. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 86.856 - -0.144. Let h = -88 + j. Let f = -29 - -28.8. Which is the fourth smallest value?  (a) f  (b) h  (c) -1\/3  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 - (5248\/28 + (-4)\/(-7)). Let v be (1\/(-2))\/((-6)\/i). Let x = 82 + v. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m = -16*m - 174. Let q = -23 + m. Calculate the lowest common multiple of q and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by ((-56)\/(-12) + -3)\/(16\/432).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 0)*(-2)\/15 + 1018320\/300. What is the greatest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)\/(n\/(n**(4\/9)\/n)))\/(n**1)**33 assuming n is positive.\nAnswer: n**(-365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, q: 4, s: 6}. Give prob of sequence squq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 7*z**2 - 1. Let h be y(7). Let x be (-5)\/(-70)*-10 - h. Which is the closest to x?  (a) 6  (b) 5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oyeyxoo. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 5*w = -295, 3*w + 26 = -3*z + 221. Let u = -58 + z. Suppose -u*h + 594 = 3*l, 5*h - 39 + 218 = l. What are the prime factors of l?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 3087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -155 + 351. Let r = w + -200.08. Let b = r - -0.08. Put b, 2, -0.5 in decreasing order.\nAnswer: 2, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + (sqrt(192) + sqrt(192) + 1 + sqrt(192) - sqrt(192)) + -5 + -3 - (-4 + ((0 + sqrt(192))*-5)**2).\nAnswer: -4803 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 2. Let j(t) = -5*t + 3. Let v(a) = j(a) + 2*p(a). Calculate v(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21\/((-35)\/(-32) - 1). Suppose 4*m = -4*y - 0*m + 224, -4*m = -4*y + h. What is the highest common divisor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 2 - 1)*(0 + 2 - 1) + 0 + 0 + 1 - 1 - 2 + 2 + 1 - 4 + 1 + (-3 + 4 - 3)*(-3 - 2 + 4))*(4*l**3 + 111 - 2*l**3 - 171).\nAnswer: 2*l**3 - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**2\/5 + 4452*c + 2864560 = 0. What is c?\nAnswer: -610, 11740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -13911830\/13 and -1070142 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 + 8*t + 10. Does 15 divide b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180 + 1515 = -254*y - 3999 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -238 + 277. Suppose 25*h = a*h - 532. Calculate the greatest common factor of h and 684.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 + -5. Calculate the remainder when ((1 - -2) + -2 - 0) + 28 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 387 and 114309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 238 and 5?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**5\/60 + q**4\/8 + 9*q**3 - 23*q**2 + 4. Factor r(i).\nAnswer: -(i - 9)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 3*c - 284, 3*c = -5*t - 2*c - 390. Let w = t - -104. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5777*j**2 + 6530 wrt j.\nAnswer: 11554*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8141421185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w - 817. Let i(d) = 35*d**2. What is s(i(n))?\nAnswer: 35*n**2 - 817","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l - 17*l + 30*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1157\/3 - 385. Let y = -1 - -4. Which is the closest to f?  (a) -4\/3  (b) -1\/2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k + k - 16*k**6 - 8*k**6 + 14*k**2 wrt k.\nAnswer: -2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -133.019 rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.538 - -0.5. Let n = u - -5.838. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/6)\/1 + 386\/(-6). Let g = -112 - u. Let h = -58 - g. Is h at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -5*k - 11, -5*k + 8 = 5*l + 3. Suppose s - j = l, 4*j - 9 = -3*s + 11. What is the nearest to s in -2\/7, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*m - 11*m + 238092*m**2.\nAnswer: 238092*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.3 - 3.2. Let t = 2.0928 - f. What is t rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25*6\/60*(-4)\/(-3)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 683 divided by 7516\nAnswer: 683\/7516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-76 + 76 + 8*h)*(-2*h - 2 + 13 - 4)*(-2*h + 5*h - 2*h).\nAnswer: -16*h**3 + 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -4*k**3 - 22*k**2 - 8*k - 18. Let n(p) = p**3 + 7*p**2 + 3*p + 6. Let z(r) = 2*a(r) + 7*n(r). Give z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -746 + 745.8613. What is i rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.05 + 0.35. Let s = 0.031 - -0.469. What is the second smallest value in w, s, 4\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 627 and 33248391?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*z - 6*z = 61*z - 616 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**2 + k - 1. Let u be f(1). What is l in -8*l**4 + 16*l**3 + 9*l - 14*l**2 - 2*l - 3*l + u*l**4 = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*v + 228 = -9*v. Let r = 71 - 45. What is the remainder when v is divided by r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37862338 or -37862337?\nAnswer: -37862337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of -13\/3*l**3 + 3\/2*l**4 - 1\/5*l**5 - 1 + 6*l**2 - 4*l. Factor d(i).\nAnswer: -(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24.87 < -2018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 2. Suppose 5*z - 190 = n - 5*n, 2*z - 53 = 3*n. Suppose 2*r - 6 - z = 0. Calculate the remainder when r is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m. Let j(v) = 12*v + 13. Let k(c) = -11*c - 10. Let z(r) = 5*j(r) + 6*k(r). Determine z(f(g)).\nAnswer: 6*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19144379 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -88*n**2 + 306*n**2 + 0*n**2 to the form k*n + q*n**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.752 + -5.652. Let k be (29\/(-116))\/(-5*3\/(-12)). Which is the smallest value?  (a) q  (b) -1\/4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8452 and 42260.\nAnswer: 42260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 AM and 10:19 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -48*f + 371. Let l be p(-21). Let r = -956 + l. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7237143 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 166 = 5*v + 2*q, 4*v = -q + 137. Suppose 8*k - 2*y = 6*k + 14, -7 = -4*k - 3*y. Suppose -k*s + 7 = -v. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**3 - 21*s**2 - 53*s + 22. What is the remainder when 145 is divided by r(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b - 7. Suppose 0 = -5*q - 4*d, q - 11 = 4*d + 13. Let l(y) = -3*y - 7. Let j(w) = q*p(w) - 5*l(w). What is the units digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3678 + -10940\/3. Let g = 31 - l. Which is the closest to g?  (a) 2  (b) 1\/3  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (193 - 220) + (1 - -83)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 3*g = 69*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 1. Suppose w*c = -c + 440000. Round c to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -d + 17. What is the least common multiple of d and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 535481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 30443015 (base 6) to base 9\nAnswer: 1575612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 960 - 959. Put -3\/4, q, 0, 4 in descending order.\nAnswer: 4, q, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 395090, 395087, 395084, 395081?\nAnswer: 395078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**2 - 3*z**2 + 10*z**2)*(-48*z - 95*z + 31*z)*(-1 - 3 + 1).\nAnswer: 336*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 9, 6, 1 in ascending order.\nAnswer: -3, 1, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z - 5*z - 1056. What is the common denominator of -65\/32 and (-407)\/z*18\/33?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.01*2.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1242741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(396))\/sqrt(12))\/sqrt(3))**2*-1 - ((sqrt(1100)*-2*2)**2 + -2*((sqrt(1100)*-1)**2 - sqrt(1100))).\nAnswer: -15444 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13472 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1738*h + 906 - 906 as n + s*h and give s.\nAnswer: -1738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5659523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-51496)\/10990)\/((-16)\/280)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 182309525 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 + 74395.2943?\nAnswer: 74395.3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 + 15148236*f - 60592992.\nAnswer: 3*(f - 4)*(f + 5049416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xfx when three letters picked without replacement from jjxjfpxjfjxjxff.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 218324543079691.9999955 + -218324616912776. Let r = -73833103 - w. Let c = -19 - r. Round c to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 748 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -y**6\/2 + 5*y**2\/2 + 9. Find the second derivative of w(h) wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j + 7. Suppose 0 = -3*a + 1 - 28. Let q be c(a). Let u = -77 + 72. Sort u, q, 2, -3 in increasing order.\nAnswer: u, -3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*m**3 + 2*m**4 + 74*m**3 + 7*m**2 - 3*m**2 - 148*m**3 to the form b + l*m**4 + p*m**3 + k*m**2 + y*m and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -0.2, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442246?\nAnswer: 2, 7, 31, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*r + 82836 = -27*r + 58*r. Does 40 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -85289 + 142068. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -3\/5, -2\/37, -17.9, -3 in ascending order.\nAnswer: -17.9, -3, -3\/5, -0.3, -2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64392914 and 470?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -170*p**2 - 24*p + 6. Let k(w) = -w**3 - w**2 - 4*w + 1. Determine -h(r) + 6*k(r).\nAnswer: -6*r**3 + 164*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**3 + 0*d**3 + 6*d**3 + (-8*d - 3*d + d)*(10 - 10 - 3*d**2).\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w - 41*w**2 - 45*w**2 - 38*w**2 + 125*w**2 - 1. Suppose 5*h - 2 = -p + 3, -2*p - 4 = 3*h. Let c be m(h). Is -1\/15 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1345 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.96 - 0.04. What is the closest to 1 in 1, c, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*z**4 - 1130*z**3 + 856*z**2 - 168*z.\nAnswer: 2*z*(2*z - 21)*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.06649 - -0.36649. Which is the closest to -8?  (a) -4  (b) l  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 14, -3, 492, -2, 4 in ascending order.\nAnswer: -3, -2, -1, 4, 14, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.37197461 rounded to 1 decimal place?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6*l - 8. Suppose -3*q = -2*q - 5. Let w(b) = -7*b - 9. Let f(c) = q*w(c) - 6*i(c). Determine f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + u + 3 + 1 = 0, -3*u - 10 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 78138805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 193, 174, 141, 94?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -51 + (-51 - -64) + 2 + -10 + -2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/4*(-32)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51.1 - 51. Which is the nearest to -1?  (a) -0.1  (b) 9  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -21*g**2 + 4*g + 6. Let h be a(6). Let b(j) = 2*j**2 + 15*j - 56. Let o be b(-10). Is (4\/o)\/(4\/h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.084 or 11970273?\nAnswer: 11970273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p**2 - 2*p + 3. Let f be c(-3). Let w = -6 - f. Suppose -2360 = a + w*a. What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26 + 34. Suppose -5*x - 3 = -2*w + 5, 2*w - x = -t. What is the remainder when 9 is divided by w\/1*(-1)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 5*j + 3. Suppose -4*r - 3 = 9, -3*t = -r - 6. Let w be 1 + t + -9 + 1. What are the prime factors of h(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, s: 2, k: 2, z: 1, f: 1, r: 8}. What is prob of sequence zys?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1349099 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w**3 + 180*w**3 - 540*w**3 - 380*w**3.\nAnswer: -755*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3 - 914*o**2 + 916*o.\nAnswer: -2*o*(o - 1)*(o + 458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 3*b. Let z be (18\/12)\/(((-270)\/(-80))\/(-9)). Sort b, z, 1, -5 in descending order.\nAnswer: 1, b, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -29*q**2 + 8*q + 9. Calculate i(-2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 4*t - 2732, 2*t - 2738 = -2*t - 2*u. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**2 + 70112*a + 1890108.\nAnswer: 4*(a + 27)*(a + 17501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -509\/5 - -101. Let h be 0\/(3\/(-15)*-5). Which is the closest to -2?  (a) j  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1915 and -38.\nAnswer: -72770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-11\/2))\/w*w\/(w*w**22)*((w**(1\/4)\/w)\/w)**(5\/4) assuming w is positive.\nAnswer: w**(-299\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from {k: 6, x: 1, f: 5, t: 3, l: 1, h: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 20542829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 336\/(-54) + 4\/18. Let d = 12 + a. Let z(c) = c - 14. What is z(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 41190 and 45138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.009  (b) -3  (c) 0.3  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 m, and 1 h when four letters picked without replacement from hphmhhhpphp?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 5*f - 5*n - 5, -f - 3*n + 8 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*i**6 - 16*i**5 - 3*i**2 - 10*i.\nAnswer: -480*i**3 - 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.03073 times 4.9\nAnswer: -0.150577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 + 8*y - 7. Let d(s) = -6*s - 3*s**2 - 5 + s**3 + s + 2*s**2 - s**2. Let v be d(4). Let i be b(v). Solve -2*a + 0 - 8 = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of 0 - 1\/6*u**3 + 0*u + 1\/30*u**5 + 1\/12*u**4 + 2*u**2. Suppose -7*i + 5 = -2*i. Calculate w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1719)\/(-1146))\/((-22)\/4)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9 - 1)*(-10)\/(-4). Let k(h) = 10*h + 18. Let f be k(-6). Let a = f + 48. Solve -m = -a*m - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (17 + (6 - 2)) - 8) + 2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 2*s**2\/3 + 1476*s - 8880 = 0.\nAnswer: -2220, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 451899000 rounded to the nearest one million?\nAnswer: 452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -260\/757 or 0?\nAnswer: -260\/757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 143 + -3?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20*42\/(-105))\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 127838 divided by 1559?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 less than 0.1926?\nAnswer: -358.8074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13296 + -13296.43085. Let n = c + 0.43. Round n to five dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 3*g**2 - 5*g - 2. Suppose 3 + 12 = -5*m. What is the remainder when s(m) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40 + -36. Suppose 0 = 2*q - z*q + 130. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -4  (b) 4.1  (c) -2\/11  (d) -1.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2829 + -2828.5. Let k be ((-6)\/(-5))\/((-2)\/(-10)). Let a be ((-4)\/(-6))\/((-4)\/2). What is the biggest value in k, b, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -4*t + 6, -3*l = -2*t - l + 4. Suppose -4*h - 60 = -9*h. Let o = 13 - h. Solve m - p = -o, 2 = -3*m + t*p + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + 3)\/(2\/2). Let l be 10 - u\/(-6)*2. Let m(s) = 100*s**3 - s**2 - s + 1. Let o be m(1). What is the greatest common factor of l and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 5*r**2 - 4*r + 2. Let w be 1534\/3 + 2 - (-46)\/(-138). Suppose -71 = 13*m - w. Calculate the lowest common multiple of m and y(3).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 9*i**2 - 26*i + 25. Let u be h(-12). Let l = u - -122. Solve -2*s = -2*d - 2, -5*s - 2*d = -l + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-24)*u)\/u*u*(u**(3\/14)\/u)\/u*u*(u*u**(5\/3))\/u*(u**(1\/23)*u)\/u assuming u is positive.\nAnswer: u**(-21325\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 93 + -95. Let p(l) = -2*l**3 - l**2 - l - 1. Calculate p(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000249 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*w = -8*w - 3*m + 73, -2*w - 2*m = w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 5) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 0 + 4 = 0. Suppose 0 = 18*b - 21*b + 150. What are the prime factors of (b\/4 + 3)*g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 1. Let l(v) = v - 3. Let r(p) = l(p) + 2*t(p). Let k be r(-4). Let n = -18 - -17. Which is the closest to 0?  (a) k  (b) n  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*h - 37*h = -62*h + 1807 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -6. Suppose a - 4 = -x. Suppose -j = 2*b - a*b, 0 = -3*j - b. Solve j*d + d = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/((-30)\/5))\/(10\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -111311 (base 5) to base 15\nAnswer: -128b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 2*s**2 + 4*s + 3. Let n be x(-3). What is the remainder when -3 + 4 + n + 34 is divided by ((-2)\/(-4))\/((-1)\/(-24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) -2250  (c) -1\/2  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 307778, 307798, 307818, 307838, 307858?\n\"Answer: 20*b + 307758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 2360841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - 8\/(-4)) + 3. Let t be 1 - (-1)\/3*r. Solve 1 + t = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -224 divided by -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*y - 15*y + 3 - 5.\nAnswer: -25*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-36)\/10 + 2\/(-5). What are the prime factors of (t + 1)\/((-6)\/76)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-204)\/((-2040)\/(-30)))\/(-2*(-276)\/32)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50076476663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-27)\/(-48))\/((-129)\/172))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 535 or 534?\nAnswer: 534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -53 - -55. Suppose -k - 9 = -3*k - 3*a, 2*a = -t. Let l(w) = -4*w - 4. What is l(k)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0325 + 62.0325. Is o <= -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25, -40, -71, -124, -205, -320, -475?\n\"Answer: -c**3 - 2*c**2 - 2*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.2 + -6. Let y = 1.2 + r. Let i be 4\/(-10) + (-22)\/(-30). Is i smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -400, -1019, -1638, -2257, -2876, -3495?\nAnswer: -4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32480 divided by -6496.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -0.0562  (b) 0.3  (c) 19  (d) 53  (e) -1\/8  (f) 1\/12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 32825627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1488981519 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/90 and 85\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0*(-1)\/(-2))\/(8\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 4*z**2 + 4*z + 4. Let f be u(-2). Suppose -l + 4*h = 2*l - 934, -f*l + 1248 = -4*h. Calculate the remainder when l is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/7)\/i)**(-27)*(i*(i\/(i**(5\/8)\/i))\/i)\/i**(2\/39))**37 assuming i is positive.\nAnswer: i**(2912159\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2342, -6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/5)\/(7\/(-35)). Suppose 0 = -3*q - x*c + 101, 4*c = q - 53 + 10. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (6 + -1 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 10837354100868?\nAnswer: -10837354100867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-70 - (67 + -110)) + -1 + (1 - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*w - 35*w + 21735. Suppose -5*j = -5*h - w, -2*h + 3*h = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 15 + -42 + 18?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 + -4)\/(1 + 0). Let b = 4.3 + -4. Let v = 38 + -35. What is the nearest to k in 0.1, v, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003697487511 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.559 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27.6142 + 25.3. Round o to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1746223 (base 9) to base 16\nAnswer: ee2e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 3 + (11 - (13 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39916)\/77484)\/(3\/(-99)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 + 3033430?\nAnswer: 3033441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 4*n - 3. Let t be c(3). Let u be 1\/((1 - t)*1). Solve 3*v - 2*m = 5, -4*v = -0*v + 3*m - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24a647 (base 13) to base 9.\nAnswer: -1580856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 119336.7119 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1763 = -96*p + 128 - 3549 for p.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 88 = s. Suppose 4*u = -2*q - 34, 5*q = -4*u - 0*u - 49. Let g be (-52)\/u + (-4)\/6. What is the greatest common factor of g and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1627 + 26123\/16. Find the common denominator of w and (-4)\/(1 - -1) - 1209\/156.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 29*j**2 - 48*j - 50. Is 16 a factor of w(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51 + 57. Suppose 4 = -v*z - 2. Let k(f) = -f**3 - 2*f**2 - f. Calculate k(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4830*r + 2729. Is h(36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13 - 3495*v**2 + 3495*v**2 - v**3 + 6*v**4 - 3*v wrt v?\nAnswer: 72*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 32566977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i**2. Let j(t) = 3721*t**2. Give g(j(y)).\nAnswer: -96920887*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 763467.5 centimeters to nanometers.\nAnswer: 7634675000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.08 - -1.92. Which is the nearest to -1?  (a) 0.06  (b) -0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 + 1792*z**2 + 183692*z + 4016760.\nAnswer: -4*(z - 537)*(z + 34)*(z + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.12476 - -0.125. What is f rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*o + 4*o - 5*o)*(-2 + 2 + 2*o - 1).\nAnswer: 12*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -64 + -2?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 227999*o**3 - o**2 + o + 1. Suppose 0 = 8*p + 7 + 1. Let w be q(p). What is w rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119967 not equal to 119967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 - -837783.2.\nAnswer: 837780.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20690 and 1042776?\nAnswer: 5213880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*4*sqrt(102))\/sqrt(6)*-5 - (sqrt(425) + 4 - sqrt(17) - (3 + sqrt(68)))) + 3.\nAnswer: -62*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40.64125mm to centimeters.\nAnswer: 4.064125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of q**8\/112 + 11*q**7\/70 + 3*q**6\/5 - 9*q**5\/5 + 11*q**2. Factor f(v).\nAnswer: 3*v**2*(v - 1)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94584 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: Simplify ((m**(-1\/2)*m)\/m*m**(-6))\/(m**(-2)*m*m**(-2\/11)) assuming m is positive.\nAnswer: m**(-117\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 347, 239, -799, -3235, -7537, -14173?\nAnswer: -23611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 227 + -238.3. Let v = l - -11. Which is the nearest to -1?  (a) 1\/3  (b) 0.3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 87\/5 of a century?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1362 times 7?\nAnswer: -9534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 + 109*u**2 - 1344*u + 1359. Calculate q(-65).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add -13291.8 and 0.4.\nAnswer: -13291.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2.496584 centuries?\nAnswer: 249.6584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 12*z**2 + 18*z - 15. What is the remainder when o(-9) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6740 is divided by 102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4772937571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*-1*(-14)\/42. Solve a = f + 2*l, 0*l = 2*f + 2*l + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44365 is divided by 5542?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12267114, 12267105, 12267082, 12267039, 12266970?\nAnswer: 12266869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4*k + 1. Let s(o) = -o**3 - 4*o**2 + 5*o + 4. Let p be s(-5). Suppose -d + 20 = p*d. What is the remainder when 50 is divided by g(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 6*j - 108. Let d(a) = 4*a - 106. Let y(m) = -2*d(m) + 3*n(m). What is the derivative of y(h) wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 17648885089 and 0.2.\nAnswer: 17648885089.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1173*l**2 - 46*l - 23. Let f(j) = 2*j**2 - 2*j - 1. Determine 2*d(b) - 46*f(b).\nAnswer: -2438*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -89\/1418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -o**5\/40 - 7*o**4\/24 + 4*o**3 - 3. Let l(f) be the third derivative of u(f). Suppose -3 = 4*x + 21. Determine l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 3\/2, -7, 0.32, -20?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -25 + 40. Let t = o - -4. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 6 + 4)*(3 - 8 - 14)*(-163*f**2 + 163*f**2 + 33*f**3) + 1 + 7*f**3 - 1 to n*f**3 + q*f + t*f**2 + y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*i - 666 = -561*i + 3200 - 691 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-33 - -379573)*-25*(-18)\/(-21). Round d to the nearest 100000.\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.886 rounded to 0 dps?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*p + 107*p - 342 = 0. Suppose 3*t = -87 + p. Solve 3*y = -t - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15506 - 14424. Calculate the remainder when a is divided by 354.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1479852930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -7*t + 7*t + 3*t**2. Let f(d) = d**2. Let s(y) be the second derivative of -3*y**4\/4 - 14*y. Let l(h) = 12*f(h) + s(h). What is a(l(p))?\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - 1 - 165\/(-33). Solve 5*k = -d + 10 + 4, -k + y = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1004916 litres?\nAnswer: 100.4916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8 or 82\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0038884739 rounded to five dps?\nAnswer: -0.00389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y**3 - 6*y**2 - 11*y + 7. Let n(m) = m**2 + m - 1. Let q(g) = -f(g) - 6*n(g). Let j(v) = v**3 - 2*v. Give 5*j(t) + 2*q(t).\nAnswer: -t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - 561?\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 28\/477?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 147297480 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 168549 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.26429 and 5.1.\nAnswer: 3.83571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.4  (b) 4  (c) -2  (d) 19  (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 377 + -333. What is the smallest common multiple of 4 and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 + 3*g**4 - 4*g**4 + 5*g**3 - 6 + 1 + 4*g**2 to n*g + j + i*g**2 + w*g**4 + y*g**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0 - 1\/84*z**6 + 32\/21*z**3 - 19\/105*z**5 + 0*z - 16\/21*z**4 + 34*z**2. Factor k(g).\nAnswer: -2*(g + 4)**2*(5*g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/14  (b) -8  (c) -2\/11  (d) 2  (e) 2\/7  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12441 - -31228. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + 3 + (-2 - -1). Suppose t*d = -4*g - 12, 5*g - 2*d + 6*d = -6. Suppose 5*n - 5 = -5*q, -n - 3*q + 3 = -g. Is -9\/7 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 275 and 38056645.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from kkqkqqqqqkqkqq?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 220973 times 0.3?\nAnswer: 66291.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -2*z + 50. Suppose -16 = 8*d - z*d. Solve -b + 5*b = d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-24)\/14 - 4\/14. Let u be (-6)\/1*5\/a. Suppose 4*c = 12 - 32, 385 = 5*b - 2*c. Calculate the greatest common divisor of b and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48214423?\nAnswer: 271, 177913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 + 28*k**2 + 107*k + 276. Determine v(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 9. Let q = -30.1 + 148.1. Let f = q - 113. What is the third biggest value in f, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1345 + 1392. Solve r - 50 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -4*x - 10*q + 5*q, -4*x + 32 = -4*q. Solve -x*f = -v + 4, 5*v - 15 = 3*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.16 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + m - 12, -4 - 11 = 5*g + 5*m. Let u = 0.1 - 0. Let q = -1.6 - -1.8. What is the second biggest value in u, q, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (37 - 29 - -79) + (9 - 9)\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3\/4)\/(o**(7\/5)\/o))\/(o**(20\/9)*o**(-2\/21)) assuming o is positive.\nAnswer: o**(-4129\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -3*t**3 - t**2 - t - 1. Determine x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 PM and 4:44 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 858 - 857.017. Let o = a + 0.017. Which is bigger: 13 or o?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 85, 109, 149, 205, 277, 365?\n\"Answer: 8*g**2 + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**2 - 2*f + 5. Let b be v(5). Let k be 1638\/468*25*2. What is the highest common factor of b and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 = -3*b - 34. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*s**2 + 5*s**2 + 8*s**2)*(0*s + 2*s**3 + 0*s).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 135 - 23475?\nAnswer: -23340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of -k**7\/210 + k**6\/6 + k**3\/6 - 28*k**2. What is the first derivative of m(u) wrt u?\nAnswer: -4*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 46624?\nAnswer: 419616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 170251 (base 9) in base 4?\nAnswer: 121223200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k + 8. Let o be m(6). Let q(n) = -2*n**3 - 2*n**2 + 4*n + 4. Let a be q(-3). Let u = a + -21. Sort o, u, 2 in descending order.\nAnswer: u, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1010001001101 (base 2) to base 7\nAnswer: -21103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/(-3))\/((-1)\/(-15)). Let q = 100.223 - 100. Let u = 0.023 - q. Put u, 1\/9, m in decreasing order.\nAnswer: m, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -89 - 86 - 100 + 275 - 30538*w to the form a + d*w and give d.\nAnswer: -30538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -147*n + 3. Let g be i(0). What is the closest to 2\/273 in -0.3, 3\/4, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 404 = 4*c, c = y - 0*c - 384. What are the prime factors of y?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -6*s + 22, g + 5*s - 2*s = 16 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 7*d + 1. Let g be s(-7). Let h be (g\/2 + 2)*-4. Let o(f) = -f - 5. List the prime factors of o(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 1080*h**2 - 34411*h - 33330.\nAnswer: (h - 1111)*(h + 1)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2828, 2869, 2910, 2951?\nAnswer: 2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3269695336 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 7 - 1)*(3*s - 3 + 3)*(-2*s + 1 - 1) to the form m*s + o + w*s**2 and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, l: 6, u: 3, i: 5, b: 1, h: 1}. Give prob of sequence lli.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**3 - 42*d**2 + 114*d - 118. Calculate j(18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 12 = -3*q, 4*q = 5*f - 198. Suppose 0 = 2*z + 4*o - f, -5*z + 68 = -z + 4*o. Suppose 4*p - z = -1. Solve -15 = p*a - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -3) + -14 + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 186\/8 - (-23)\/(-92). Let n = 23 - y. Sort -15, 4, 2, n in descending order.\nAnswer: 4, 2, n, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 30*o - 52. Let f be d(-28). Let q(g) = 135*g - 15. List the prime factors of q(f).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/24 and 143\/1231128?\nAnswer: 1231128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 13 - 15. Solve -b*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112 = 366*t - 5*c - 1332, -2*c + 24 = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-36)\/(-15)*(4 + (-182)\/42). What is the closest to 4 in w, -3, -17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(4\/(-5))*6)\/1. Let l = -5 - y. Suppose -4*b + l = b. Solve 0 = -5*x + b*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*x + 2*x + 3*x)*(2 - 5 + 1) + (0 + 0 + x)*(0 + 6 - 3) - 3*x + 0*x + 4*x + 3*x - 5*x + 0*x in the form k + f*x and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1152 is divided by 288.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 30252 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2)*i)**(2\/137)\/(i**(2\/3)*i*i\/(i\/((i\/(i\/i**(10\/7)))\/i)*i*i)*i) assuming i is positive.\nAnswer: i**(-3193\/2877)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (14\/63 - 195\/27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 + 2 - 20 + 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**3*p**2 - 6*f**3*p*y**3 - 120*f**3*y**3 - 2*f**2*p**2*y + 3*f**2*p - 4*p**2*y - 15*p**2 + p*y**3 wrt f.\nAnswer: 6*p**2 - 36*p*y**3 - 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(135)\/sqrt(3) + (-1*(sqrt(5) - sqrt(20)) - (-2*sqrt(5) + 3)))**2.\nAnswer: 12*sqrt(5) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -3*s**3 + s**2 - 4*s + 2. Let u be a(1). Does 9 divide (24\/(-9))\/((-1)\/(-54)*u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 682, 676, 658, 622, 562, 472, 346, 178?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + (-40)\/12)\/(1\/(-6)). Let z = 19\/10 - 7\/5. Solve 0*u + z*u**c + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 22*n - 152. Let y be p(7). Solve -y*u + b = -2*b + 4, -5*u = 3*b - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -278581 and -0.76.\nAnswer: -278581.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + q + 17, -4*j - 4*q + 9 - 17 = 0. Solve 3*f + 6 = j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 18907.4 to the nearest ten.\nAnswer: 18910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/44 and -29\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hsdzedm. What is prob of picking 1 e and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6150114 (base 8) to base 7.\nAnswer: 16552034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56.8 - -72.8. Sort l, 2, -1\/3, -4.\nAnswer: -4, -1\/3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of 21*j**2\/2 + 29*j + 50. List the prime factors of c(14).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13277655844 rounded to five dps?\nAnswer: 0.13278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 2588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 8285, -1, 2, 5, 6, -4 in ascending order.\nAnswer: -4, -1, 2, 5, 6, 10, 8285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 223124220 (base 6) to base 13.\nAnswer: ac691a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**3 + a**2 + 9*a + 10. Let w be b(-2). Find the first derivative of 43*s**4 + 8*s**w - 1295 + 1282 wrt s.\nAnswer: 204*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*n + 178 - 3233. Let v = 2778 + n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42.15 + -41.85. Which is the second smallest value?  (a) 1  (b) 59\/4  (c) i  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**3\/21 - 80*l**2\/21 - 2062*l\/21 - 3540\/7 = 0. Calculate l.\nAnswer: -10, -9, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2 + -3 + -5 + 0 + sqrt(8) + ((2*sqrt(350))\/sqrt(7) + sqrt(50))**2 + sqrt(50) + 2 + (sqrt(242) + 0 - sqrt(242))**2 + sqrt(2).\nAnswer: 8*sqrt(2) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 5*v - 5*j = -35, -35 = -4*v - 3*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -103*g**2 + 2*g + 1. Let f be i(-1). Let s = 172 + f. What is the remainder when s is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 5*o**2 + 5. Let h be l(-5). Let u = 6 - h. Is 11 a factor of ((-12 + u)*-1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r**2 + 3*r + 2. Let f be (-1 - 5)*1\/3. Suppose 3*h - 84 = -5*x, h - x - 24 = -4*x. What is the remainder when h is divided by w(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -255, -592, -1077, -1716, -2515, -3480?\nAnswer: -4617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3330 divided by -222?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 2*p + 10. Let u(s) = -8*s + 13. Let c(r) = -5*r + 12. Let j(b) = -3*c(b) + 2*u(b). Determine 3*j(y) + 2*m(y).\nAnswer: y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(-4 - 7 - 11)*(-18*b + 92 - 92).\nAnswer: 396*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 2100454?\nAnswer: 2100462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 + 6*f**2 + 11. Let g be o(-6). What is the third derivative of -3*p**2 + g*p**3 + 9*p**2 + 0*p**3 - 19*p**3 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 + 3*y - 3. Give m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/162*-1*3. Which is the closest to 0.1?  (a) -2\/3  (b) 5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 1:37 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 141*s**2 + 5*s**3 - 80 - s + 148*s**2 - 287*s**2 in the form g*s**3 + l*s + n + q*s**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u + 84. Let g be b(-21). Suppose -10*r + 0 + 50 = g. Solve -r*d - 20 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*q + 4449*q**2 - 3*q - 4448*q**2 + 402 in the form c + d*q + x*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -25 + 5 + 3 + 5\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1644397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -4, -123, 452, 0.15.\nAnswer: -123, -4, -0.3, 0.15, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 12*c + 5. Let k be z(-11). Let d(b) = -b**3 + 15*b**2 + 16*b - 5. Let l be d(k). Suppose -18 = -g + 7*g. Sort g, l, 2 in decreasing order.\nAnswer: 2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**4 + 7716*c**3 + 8363680*c**2 + 2774819292*c - 2783190690 = 0. What is c?\nAnswer: -2305, -777, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - v**2 + 4*v + 6. Let b be -1*(6 - (0 + 3)). Let y be r(b). Suppose -5*j = -j - y. Solve -j*f + 25 = -8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of 0*a**4 + 1\/120*a**6 - 1\/60*a**5 + 1\/6*a**3 + 0*a + 2 - 79*a**2. Give q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-6)*w*((w**(2\/5)*w)\/w)\/w*w*w**(2\/9)\/(w*w\/w**1))\/((w**1)**(-5\/9)*(w\/(w\/w**(2\/5)*w*w))\/((w*w**(1\/9)*w*w*w)\/w)) assuming w is positive.\nAnswer: w**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**3\/9 + 13514*p**2\/9 - 81170*p\/9 - 94682\/9.\nAnswer: 2*(p - 7)*(p + 1)*(p + 6763)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247351?\nAnswer: 13, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4309225 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-3))\/(91\/273)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 18. Let w be l\/(-1) + 1 + -2. Let h be (2\/(-2))\/((-2)\/4). Solve -7*o + w = -h*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 5*y + 212. Let p(u) = u**3 + 14*u**2 - 35*u + 119. Calculate the remainder when p(5) is divided by y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 17*w + 23. Let a(o) = 528*o + 715. Let t(s) = -6*a(s) + 187*j(s). Determine t(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151535785 a multiple of 2976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + 32331020?\nAnswer: 32331023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeoeeeooeeeeeeeeeene. Give prob of sequence oe.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4269266?\nAnswer: 2, 2134633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - 14. Calculate the common denominator of 41\/4 and 25\/(-175)*1*1*u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 10, z + a - 50 = -0*z. Calculate the remainder when z is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(6\/7)*p**(-5)*(p\/p**(2\/7))\/p**(6\/13))**(-9) assuming p is positive.\nAnswer: p**(3186\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2654 divided by -1327.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -453 + -9?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) 0.1  (c) 47  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s**3 + 14*s**2 + s + 8. Calculate the lowest common multiple of o(-7) and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2. Let x(l) = 196*l. What is o(x(m))?\nAnswer: 38416*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -541432.22 and -34.\nAnswer: -541466.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 177\/3833 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9*4\/(-140))\/(84\/140)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 12*m + 4. Let u be ((-30)\/9)\/(1\/(-3)). Let l be w(u). Let n = l + -13. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -d + 4, d - 11 = -2*h + 2*d. Suppose -12 = -3*t + 4*l + 3, h*t - 20 = 5*l. What is the lowest common multiple of 6\/(-18)*-75 + (-3)\/t and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -255, -983, -2227, -3993, -6287, -9115?\nAnswer: -12483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(50) + 0 - sqrt(2) - sqrt(6)\/sqrt(3)*-5)**2 + (1*(0 + sqrt(200) + -2 - sqrt(200)))**2.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1175 + 2.04.\nAnswer: -1172.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 830 and 994496870?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*x + 36 = -x, 0 = -5*r - x + 15. Suppose -2*g + 26 = r*s - 14, 3*s + 3*g - 30 = 0. What is the remainder when 19 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8712 and 16803512?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/16 and 93\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1829 = 86*p - 109 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 2 = 2*q, -q - 9 = q - 3*b. What is the second biggest value in 0.4, -4.6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 4:07 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -6*m**2. Let c(y) be the second derivative of -y**4\/6 - 9*y. Determine s(c(h)).\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -428, -855, -1268, -1661, -2028, -2363, -2660?\n\"Answer: x**3 + x**2 - 437*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10683, 21345, 32001, 42645, 53271, 63873, 74445, 84981?\nAnswer: 95475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 655\/28 + -162\/7. What is the biggest value in 4, -5, a, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**4\/5 + 1368*q**3\/5 - 27126*q**2\/5 - 474984*q\/5 - 1575288\/5 = 0?\nAnswer: -6, 33, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s - 3 - 22. Let h(z) be the first derivative of 20*z**2 + 11*z - 188. Is h(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 63\/(-24) + 12\/(-32). Let o(v) = -2*v**2 + 4*v**2 - 3*v**2 + 2. Give o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 27 = -11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59344 and 576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 569 = 5*m + 99. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 193 + -548\/3. Let y = o - 781\/75. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzznpfxxzffnfzxnnw. Give prob of sequence ff.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 348696179?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 1. Let c be (7 + -2 + 0)\/1. What are the prime factors of d(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 711294905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-2 - (-2)\/4). Let b = 30 + -32. Let t be 1\/6 + (-3)\/(-6). What is the closest to t in d, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207*o + 1568*o - 208*o - 241*o - 913*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1781, 1044, 307, -430, -1167, -1904?\nAnswer: -2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -715860, -715741, -715608, -715455, -715276?\n\"Answer: g**3 + g**2 + 109*g - 715971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*(10\/(-2))\/10. Is q bigger than 0.019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 275729 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/((-630)\/(-110)) + 3*(-8)\/108.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 12*f + 34. What is u(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - (-5 - (59 + -31)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/20*6\/9.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4819 (base 11) to base 8.\nAnswer: -14250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 16 = 0, 891932030 = 14*a + 2*b - 10255962. What is a rounded to the nearest 100000?\nAnswer: 64400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190262, -380535, -570798, -761045, -951270, -1141467, -1331630, -1521753?\nAnswer: -1711830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**6\/120 - g**4\/24 + g**3 - 794*g**2 + 2*g. Let b = 0 - 0. Calculate n(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6546798*l**5 - 3489479*l**2 wrt l.\nAnswer: 392807880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3288)\/(-42) - 2\/7. Calculate the highest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5540366?\nAnswer: 2, 13, 213091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 10}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 31 + ((-6)\/(24\/(-20)) - 6). Suppose 35*j - p*j - 50 = 0. Let w be (-11 - 1\/(-1))*-7. Calculate the highest common factor of w and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 13 = -28 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 735*d - 990 + 255 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/36*12396\/102267?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -46, -2\/1191, 1, 0.288?\nAnswer: 0.288","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -g + 5*i - 4*i, -5*g + 5 = i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 4*l - 23, 27*u + 2*l + 16 = 31*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4909*k**3 - 4931*k**3 + 9878*k**3.\nAnswer: 38*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 3*k - 1. Let l be v(-3). Let m(n) = 2*n - 1. Let p be 2\/(4*1*(-3)\/12). Let h(i) = i. Let b(t) = p*m(t) + 5*h(t). What is b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -694 + 398.6. Round k to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 177915 and 870?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 89.25008 centuries?\nAnswer: 8.925008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 137219 - -69\nAnswer: 137288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 51, 69, 85, 99, 111?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*z - 5 = 5, 4*z = -2*s + 36. Let m = s + -5. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 78 - 47. Let g = s + -22. Is 254 - 5\/(g - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2610 by -4.\nAnswer: -1305\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44 - -46. What is the highest common divisor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 81\/973808 and -139\/864?\nAnswer: 52585632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from bbbbbffbbbbf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 22, 42, 62, 82, 102?\n\"Answer: 20*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-3 + -3 + 11 + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 5*c + 65, -c - 86 = 4*d - 9. Let h be (15\/d)\/((-1)\/8). Suppose 2*n - h = 2. Solve -n = -3*r + 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.04, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*j**2 + 93*j**2 - 14*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(684) + 2)**2 + -1.\nAnswer: 24*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 36\/511 and 15\/24017.\nAnswer: 24017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = 12*l - 57. Factor -208 + 86 + 240*r + 75*r**2 + 5*r**l - 198.\nAnswer: 5*(r - 1)*(r + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 68537207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kok when three letters picked without replacement from oooooookooooooookooo.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.6482873 + 1.6493. Round p to 5 dps.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(1\/1))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of 9*c + 0 + 9\/2*c**2 + 4\/3*c**3 + 1\/20*c**5 + 7\/12*c**4. Suppose 3*d + 3*t = 7*d + 27, -17 = 3*d + t. Calculate s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of -69*p**2 - 10*p - 40. Let o(m) = -621*m - 46. Let y(t) = 23*l(t) - 5*o(t). Let h(s) = -s**2. Calculate h(y(c)).\nAnswer: -4761*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47275822.\nAnswer: 2, 11, 73, 29437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00011223 rounded to six dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 423 and 11007?\nAnswer: 517329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 70934 divided by 2446?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 8*g + 12654. Let k(i) = 13*i. What is k(q(l))?\nAnswer: 104*l + 164502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 56480296 to the power of 1\/2, to the nearest integer?\nAnswer: 7515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, -576, -4, 3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12451\/159 - 390\/53. Let s = -4121\/48 - m. Calculate the common denominator of s and -67\/216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - ((41 - 35) + (0 - -5))) + -55.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -202*h**2. Let b(n) = 31*n + 17. Let z(f) = -11*f - 6. Let j(o) = -6*b(o) - 17*z(o). Give j(p(g)).\nAnswer: -202*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 3*l + 21 = 0, -2*l = 2*x + 7 - 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**3 + 5*c**2 - 10*c - 9. Suppose -2*l - 24 = -12. Calculate i(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 332732757 and 522865761?\nAnswer: 3660060327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2994)\/(-15)*(-490)\/(-196). Solve 0 = -509*y + z*y + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -12.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216621 divided by -72207.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 1083 - 5553 = 0. Is ((-4)\/6)\/((-14)\/n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 167439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 + 12. Suppose 0 = 3*p - v - 15, -6*v + 5 = m*p - v. Solve -p*d = -d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-5 - 87\/(-21))*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 >= 14648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 377163 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -3*b**3 - 8*b**2 + 47*b + 25. Is n(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 - 5*s - 4*s as j*s + t and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 2*n + 5*s + 18, -5*s = 15. Suppose 2*x - n*z = -6*z + 46, 46 = 2*x - 2*z. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 6908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-183)\/(-854))\/((-1)\/2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 109*t - 113*t - 165 + 167. Determine x(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -39. Calculate the greatest common factor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -112958 < -112959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -27384\/11 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 303498298 - -17.\nAnswer: 303498315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1689, 2, -3, 5\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((64\/42)\/(-8))\/((-3395)\/(-40740)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 6*p + 2*t, -364*p - 5*t = -363*p + 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -431, 7, 2, 4, -2, 6 in ascending order.\nAnswer: -431, -2, 2, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -105 - 10\/(-15)*3. Let y = -88 - l. Find the second derivative of 6*x - 17*x - y*x**2 - 8*x**2 - 16*x wrt x.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/(100\/(-5)))\/((-2)\/20). Let b(a) = -3*a**2 + 14*a + 2. Let v(d) = -5*d**2 + 21*d + 3. Let f(r) = p*v(r) - 8*b(r). Calculate f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 143, 285, 427, 569, 711?\n\"Answer: 142*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3*r + 136 = 0. What is the remainder when r is divided by ((-60)\/16)\/((-948)\/(-144) + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104324.2l to millilitres.\nAnswer: 104324200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*c + 46*w + 20 = 147*c, 2*w = -4 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, -19, 3866?\nAnswer: 3866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/7 of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -77, -114, -99, -26, 111, 318, 601?\n\"Answer: k**3 + 20*k**2 - 104*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 + -27. Suppose 0*c + 4*c - 20 = n, -2*n + 4*c = w. Sort 2, n, 1.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**3 - j**2 - 400*j + 104. Determine m(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 AM and 3:56 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107*d - 2264 = -99*d. Which is smaller: d or -282?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 - 174. Let g = z - -101. Calculate the smallest common multiple of 21 and g.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -82\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 - -28. What are the prime factors of ((-22)\/y)\/(2\/(-16))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292954 is divided by 157?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 2)*(0*p**5 - 2*p**5 + 4*p**5) - p**5 - 13*p**4 + 79*p**4 + 44*p**4.\nAnswer: 3*p**5 + 110*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of 167*j**4\/8 - 265*j**3\/6 + 3*j**2 - 318*j. What is the derivative of p(v) wrt v?\nAnswer: 501","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*n + 4*n - 2*n)*(-10 - 2 + 60) + n + n - n + (2*n + n + 0*n)*(-1 + 4 - 2))*(0 - 2*n + 0).\nAnswer: 184*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a + 3*l = 34, 3*a + 6*l = a + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + 1. Let y = -0.281 + -0.219. Which is the closest to 1\/3?  (a) k  (b) y  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/111 - (-1962)\/666. Sort -4, k, -1, 20.\nAnswer: -4, -1, k, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 smaller than -58\/479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -5*j**2\/2 - 3*j + 1. Calculate the lowest common multiple of 4 and y(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1295 + -1294. What is the closest to g in -2, 0.4, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288*n + 281*n = -14. Suppose -2*h - 4*y + 29 - 23 = 0, -4*h - y = -26. Solve n*g + h - 1 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1846679803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340832996.\nAnswer: 2, 7, 12172607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 + 2*w + 1. Let v be -2*(10\/4)\/5. Let k be q(v). Suppose 4*r - r - 72 = k. Solve 2*t - 19 = -3*x, -3*x + r = 6*t - 3*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, z: 1, i: 1, f: 1}. Give prob of sequence hi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x - 18. Let b(o) be the first derivative of 2*o**3\/3 + 180. Give b(r(q)).\nAnswer: 2*q**2 + 72*q + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o**3\/7 - 2700*o**2\/7 + 222078*o\/7 - 91728 = 0. What is o?\nAnswer: 3, 104, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4b + 2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5555 + 4?\nAnswer: 5560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -4, -1 in increasing order.\nAnswer: -10, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -29*h**3 - 724*h**2 + 14*h - 283. Give y(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 200140 a multiple of 812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, 63, 1\/24, 5, -2, 0.3, 0.\nAnswer: -2, -0.02, 0, 1\/24, 0.3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 1 + 2)*(-2 - 2*u**2 + 2) + 4*u**2 - 5*u**2 + 4*u**2 - 175*u**2 + 2650*u**2 - 820*u**2 + 1551*u**2 to y*u**2 + p*u + z and give y.\nAnswer: 3213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10201011314 + 3?\nAnswer: -10201011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 5*l = 4*x - 562, 0 = -5*l + x + 1394. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14362 smaller than 5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24961178 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16218 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 56\/5, -955, 5?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 f when four letters picked without replacement from {c: 11, f: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l + 5 = 13*l, 4*r + 43 = 2*l - 11 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -566404 divided by 3?\nAnswer: -566404\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1168*z + 1171*z - 2*y + 5, 2*z = -y - 0*y - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-236)\/1298)\/((-1)\/33). Solve 26 = r*d - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 139957, 140067, 140255, 140527, 140889?\nAnswer: 141347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4496 - 1097. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.385 minus -1.16?\nAnswer: -6.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 180 and 144452?\nAnswer: 6500340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*((r*r**(3\/5))\/r)\/r*r)*r*r)**(-37)*r**(-15)\/((r\/r**12)\/r) assuming r is positive.\nAnswer: r**(-274\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1515910967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8028 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -121, -217, -313, -409, -505?\n\"Answer: -96*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -603840*c + 603910*c = -3990 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*m - 2*m - 2 - 4*m + 6*m.\nAnswer: 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -3*m**2. Let c(o) = -59*o**2. Give y(c(t)).\nAnswer: -10443*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 13 + 0*v - v.\nAnswer: -v + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 8, 6, -2, 116 in decreasing order.\nAnswer: 116, 8, 6, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**2 + 32*r - 229. Let x be v(6). Suppose -19*u + x*u = 48. Solve -5*q = -4*g - 0*q + u, 0 = 3*g + 5*q + 24 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-seven halves of a decade?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 34459.0048 + -34346. Let k = -93.3 + -19.7. Let c = x + k. What is c rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 7*m**2 + 6*m + 2. List the prime factors of g(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -14, -32, -58, -92, -134, -184?\n\"Answer: -4*l**2 - 6*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + c - 8. Let i be t(0). Let n = i - -13. Solve 4*v + 4*h - 8 = 0, -6*h - n = -7*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -215 - -215.0442. What is d rounded to three dps?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 25844657316.6269 and -0.2.\nAnswer: 25844657316.4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3262922 divided by 2.\nAnswer: -1631461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -12a (base 12) to base 3\nAnswer: -20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9873731 + 0?\nAnswer: -9873731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -48, -104, -2\/9, -1, 1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 124321 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 5*t = 31 - 6, 4*t - 20 = -4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((-3)\/9 - 18\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 344173709?\nAnswer: -344173712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/88 and 27\/65636936?\nAnswer: 722006296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 11*c**2 + 8*c - 9. Let r(v) = 6*v**2 + 4*v - 5. Calculate -5*r(m) + 3*t(m).\nAnswer: 3*m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -6 - 6) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5489*w - 5857*w = 9568 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/30*(6\/4)\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1440, -1570 in increasing order.\nAnswer: -1570, 2, 1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113845955*f - 50*f**2 + 113845955*f - 5.\nAnswer: -50*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8228, 16471, 24742, 33047, 41392, 49783, 58226, 66727?\nAnswer: 75292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-6))\/(4\/48). Let p(o) = 3*o**3 + 2*o**2 - 3*o - 6. Let g(b) = 4*b**3 + b**2 - 3*b - 6. Let l(d) = 2*g(d) - 3*p(d). What is l(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 877\/3700 + -1\/37. Let w = 1\/25 + a. Factor 0 + w*g**5 + 0*g + 1\/2*g**4 + 1\/4*g**3 + 0*g**2.\nAnswer: g**3*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n - 2. Let t(l) = -7*l - 4. Let w be t(-1). Let k(i) = 5*i - i + 2*i - w*i - 5. Let d(u) = -4*u + 3. Let q be d(2). Calculate q*x(g) + 2*k(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -6*n + 1. Suppose 4*j + 5*a - 15 = 218, 0 = 2*j - a - 99. Suppose 2*b - j = -2*b. Calculate the remainder when q(-6) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/622744410 and 68\/685018851?\nAnswer: 6850188510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s. Let o = -9 + 11. Let p(l) = 5*l**2 - 2*l**o + 0*l**2 - l**2. What is v(p(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, 1, 328, -4\/5, -4 in descending order.\nAnswer: 328, 1, 0.3, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6284161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 3087100 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(81)\/sqrt(3))\/sqrt(9) + -3)**2.\nAnswer: -12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of d**2*h + 17*d**2*z**2 - 4*d*z**2 + 105*h*z**2 wrt h?\nAnswer: d**2 + 105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1\/2, -10\/13, 2\/7, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 8:23 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 162 - 161.03. Round f to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -84865 divided by 229\nAnswer: -84865\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(8\/7))**(-41)\/(v**(1\/45)\/v**(-18)) assuming v is positive.\nAnswer: v**(-20437\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - (-26 - (-27 + 13)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 5. Which is the second biggest value?  (a) j  (b) 1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -390 + 999. Suppose -w + 0*w = 424. Let m = w + b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**2 + n**2 - 3*n**3 + 5*n**3 + (9 + 4*n**3 - 9)*(0 - 3 - 1).\nAnswer: -14*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*j = 26*j + 4*f + 9, -2 = 5*j - f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 + -12. Let p(m) = -m + 1. Let c(a) = -a**2 + 7*a - 6. Give g*c(l) + 5*p(l).\nAnswer: -l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + 100100000111000000101?\nAnswer: 100100000111000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 1, i: 2, y: 1, d: 1, f: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 9:33 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23294238 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - z - 3 = 0, -52*z = -4*s - 50*z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51766946.\nAnswer: 2, 7, 11, 30559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172 - 167 = -10*k - 19 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3071076 divided by 3?\nAnswer: -1023692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t + 7. Let d be r(3). Suppose s + 75 = d*s + 2*h, 75 = 3*s - 3*h. Suppose -5*y - s = 0, x - y = -0*y + 67. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - d + 0*d + 3.\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 56.63 - 56.13. What is the second smallest value in 0.137, r, -1\/2?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30\/(-165)*726\/18.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1321170\/463 or -2852?\nAnswer: -1321170\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + -1. Factor g**2 + 2*g - 4*g + 3 - u.\nAnswer: (g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2624.5676 rounded to zero dps?\nAnswer: -2625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 7*s. Suppose -5*y = 3*n - 544 - 57, 4*y - 3*n - 470 = s. Is y a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93 - 1210\/13. Let s be 3 + 0\/(-1 + -2) + -2. Which is the nearest to o?  (a) s  (b) 5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1313425 to the nearest integer?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 588609 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -179?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 0.4, -1728 in ascending order.\nAnswer: -1728, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 862 - 862. Suppose -2*g + 7*z - 9*z = -290, k = -3*g + z + 423. Calculate the remainder when g is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452487866 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 2, x: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = c - 23, 5*g = 6*g - 4*c + 1. Suppose q = -5 - 29. Let w = q - -48. Calculate the greatest common divisor of g and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -65, -2.\nAnswer: -65, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9575895 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**2 + 77*t - 215. Let o be i(3). Let q(c) = -10*c**2 - 13*c + 12. Let p(n) = 3*n**2 + 4*n - 4. What is o*q(d) - 7*p(d)?\nAnswer: -d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w - 5. Let o(q) = -3*q + 14. Let i(k) = -7*f(k) - 2*o(k). Let c be i(-5). Let d = c - 0. Solve 4*b - 2*b = 6, -4*b + d = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 4*g + 19 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 99*a - 92*a = 0. Put -5, 4, a, -4 in ascending order.\nAnswer: -5, -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1721219175.\nAnswer: 3, 5, 13, 353, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 122 - 124. What is the smallest value in c, -0.5, -0.3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*n**0\/n)\/n)\/n)**(36\/11))**16\/((n**(2\/3)*n**(6\/11))\/(n**(2\/13)\/(n\/n**(3\/4)))) assuming n is positive.\nAnswer: n**(-181957\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.7 - -2.28. Let h = -1.38 + z. Let v = -6 - -11. Put -1\/3, v, h in ascending order.\nAnswer: -1\/3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/10 - 2*1. Let p = 346 + -347.51. Let n = 1.01 + p. Which is the third biggest value?  (a) n  (b) 5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 4 + 4*k**2 + 2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1973571170 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-118)\/18 + 3 + (-16)\/36. Let i(s) = 122*s + 34. Let b(m) = -128*m - 35. Let k(v) = y*b(v) - 6*i(v). Differentiate k(r) wrt r.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -4*m - 11. What is g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 206.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-4 - -1) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5285378 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 72*z - 68*z. Solve 0 = m - z + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30895064*o**3 - 5654704*o wrt o.\nAnswer: -185370384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -159 + 5*b**2 + 57 - 38.\nAnswer: 5*b**2 - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 22 = 4*z, -2*z = z. Suppose -2*c = -f + u, -8 = 4*c + f + 42. List the prime factors of ((-40)\/c)\/(4\/36).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 568477041?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 1500 = 5720. Let s be (-1 - -4)*22\/33. Suppose -b + 206 = 4*p - 523, -p = s*b - y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -48*l - l**2 + 3*l**2 + 48*l. Let u(j) = -6*j**2. Determine u(w(r)).\nAnswer: -24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 3*g - 5. Let f be d(4). Let o be (-30)\/7*(f - 0). Let y = o + 60. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-1))**(3\/2))**(2\/131)*(b*b\/(b**(-3)\/b))\/b*b*b\/(b**(-8)\/b*b)*(b\/b**(6\/5))\/(b**(-1\/4)*b) assuming b is positive.\nAnswer: b**(281\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010100 - -1?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*t**3*w + 2043383*t**2*w**2 + 476069*w**2 - 6*w wrt t?\nAnswer: -6*t**2*w + 4086766*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -67606244 (base 8) to base 4.\nAnswer: -313300302210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 660 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 8. Suppose -h*o = -7 - 13. Suppose -f - 65 = -o*y + 14, 5*y - 102 = -2*f. Calculate the remainder when 57 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = -24*b + 4619. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11662 - 11659. Sort 0.6, -5, n, 4, -0.5 in ascending order.\nAnswer: -5, -0.5, 0.6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*l - 13 - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 5*d - 54. Let u be k(26). Calculate the highest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003259907337 rounded to six dps?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(1*2*6\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1529 + -914. Suppose 6*l - 11*l = -z. Suppose 1514 = v - l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 500649 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 1:34 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6382219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -28159853*r + 20735526 wrt r?\nAnswer: -28159853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {p: 12, r: 4, u: 1, d: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -7*i + 31. Let k be p(14). Let z = k + 87. What is the highest common factor of 220 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -929, -458, 327, 1426?\nAnswer: 2839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 79033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11\/42 + -1\/42. Which is the fourth smallest value?  (a) 0.3  (b) -2\/5  (c) k  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q + 4*q - 6*q)*(1009074*q + 5651*q**2 - 1009074*q) as x + m*q**2 + a*q + o*q**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 985971190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t**2 - 4*t - 5. Let z be v(11). Let c = z - 138. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -37. What is the remainder when 170 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (((-50080632)\/16)\/7)\/(-1 + (-3)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-four fifths of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 1330 - 558 = 0. What is the remainder when o is divided by 61?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*o + 17 = -347. Put 0.2, 10, 1\/2, 1\/4, o in increasing order.\nAnswer: 0.2, 1\/4, 1\/2, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2) + 7 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 81846 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1))**(-4\/7)*(z*z**(4\/7))\/(z**(-2\/19)\/z)*((z**0*z)\/z*z**(1\/6))**(8\/13) assuming z is positive.\nAnswer: z**(14416\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c + 10832 = 13*c. Suppose 0 = -8*i + 7*i + k + c, 0 = -i + 4*k + 2717. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) be the third derivative of 2*g**2 + 0*g**3 - 1\/12*g**4 + 0 + 0*g. Let v(c) = 9*c**2. Give a(v(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30761347.\nAnswer: 17, 1809491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**6\/((t\/t**(-1\/9))\/t))\/(t**(2\/3))**(23\/4)*(t**(-2\/7))**28\/(t*t*t*t**(-1\/2)*t)**(6\/29) assuming t is positive.\nAnswer: t**(-3481\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -21*r**2 + 10*r + 10. Let t(m) = 47*m**2 + 6*m + 4. Let y be t(-2). Let i = 178 - y. Let n(s) = -4*s**2 + 2*s + 2. Calculate i*h(d) + 11*n(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5889, 11775, 17661, 23547, 29433, 35319?\nAnswer: 41205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + x + 4, 5*h - 6 = -2*x + 4. Suppose -h*k = 9 + 3. Let w(j) = 3*j + 1. Let f(g) = g. Let u(p) = -15*f(p) + 6*w(p). Calculate u(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of -p**5\/20 + p**4\/4 + 8*p**3\/3 + p**2\/2 + 54*p. What is the second derivative of w(h) wrt h?\nAnswer: -6*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fbbfbbfcoooolcbo. Give prob of sequence lff.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - k - 18*k + 13*k + 4. Let r(n) = -5*n**3 + 2*n - 1. Let b be r(1). Let j be (-6)\/b*(3 - 1). What is i(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = 33*w - 31*w + 2*b, 2*w + 6*b = -8 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of o**4 - o. Let x(j) = -657*j**2 - 3279*j + 29. Let c be x(-5). Determine u(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 162\/72*(-12)\/9. Let f = 7 + -8. Does 12 divide (x - -94) + (0 + f)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*m + 7 - 4 - 1)*(62 - 87*m - 62).\nAnswer: 1044*m**2 - 174*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r**2. Let u(y) = 6*y**2 - 5*y**2 - 9*y**2. Determine g(u(x)).\nAnswer: 256*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 50, -0.2, -0.5, 0.4, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**5\/40 - v**4\/3 - v**3\/2 + 9*v**2. Let s(g) be the first derivative of k(g). Differentiate s(h) with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -775171 divided by 3?\nAnswer: -775171\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 1 + -11 + 0 + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-1 + -1 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 7*q**2 + q + 5. Let d be o(7). Let k = -7 + d. Suppose c - k*a + 0 = 5, 2 = a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 427 - 423.5. Let x = -2.5 + p. What is the nearest to 0.1 in 5, 3\/7, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -518001, -1036002, -1554003, -2072004?\n\"Answer: -518001*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -125 in -0.15, 6, 2, -2\/9, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t - 27. Let u be v(5). Let s = -936 + 940. Factor 2*a**u + 0*a - 4\/3*a**2 - 2\/3*a**s + 0.\nAnswer: -2*a**2*(a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5432536749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**4 + 4*u**3 + 600*u**2 + 3312*u + 4320.\nAnswer: -4*(u - 15)*(u + 2)*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -11*i**2 + 13*i - 6. Let o(y) = -6*y**2 + 7*y - 3. Determine -4*m(a) + 7*o(a).\nAnswer: 2*a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -3444.6548 rounded to the nearest ten?\nAnswer: -3440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 - -93. What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 19493886 and 2052930.\nAnswer: 21546816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/((-5)\/(-4)) - -5. Let w be ((-4)\/a)\/2 + (-8619)\/(-27). Suppose -5*z = -w - 226. What are the prime factors of z?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 3*o**2 - 5*o**2 + 4*o**2. Let p(f) = f**3 + f**2 + 2. Let g be p(0). Let b(x) = g*x + 4*x - 5*x. What is b(h(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136712168.\nAnswer: 2, 17089021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -24*i - 6. Let b(r) = -22*r - 4. Let f(y) = -6*b(y) + 5*k(y). Give f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, 2, -1\/2, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201507 is divided by 2263.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 37599\/3188 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433513889?\nAnswer: 17, 31, 822607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4588 - -4591. Suppose -4*m - 3 - 5 = 0. Sort 4, c, m.\nAnswer: m, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q - 142 + 12*q + 142.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 3*r - 4*x, 3*r - x = -6*x + 16. Suppose 3 = -3*u + m + 20, m - 18 = -r*u. Suppose t + 2 = u. Solve -t*h + 0*h + 2*k - 21 = 0, 0 = 3*k + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.9 + 7.1. Let j = 13 - t. Which is the third biggest value?  (a) j  (b) -4\/3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 18*a. Let t = -19 - -21. Suppose -5*p - t*b = 0, -3*p = -p - 3*b - 19. Let v(r) = 4*r**2 - 3*r**2 + r**p - r**2. Give v(j(f)).\nAnswer: 324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100480 is divided by 18135?\nAnswer: 9805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - 2*p = 5, 2*w + 397 = 4*p + 395 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8649045 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-4))\/(7\/(-14)). Let l be v\/4 + (-210)\/8. Let b = l + 37. What is the lowest common multiple of 10 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 394069933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120\/45*-4*(-2)\/96.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:03 AM and 12:58 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/4 + (-3)\/6. Let b = g - 4. Solve 0*j + j + 4 = b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 17.1 + -21.15. Let g = i + 0.05. Let b = 1 + -1. What is the closest to 2\/11 in b, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 182.29 * -6\nAnswer: -1093.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 3:01 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01 and -629.\nAnswer: -6.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 26988019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 2)*(7*l**2 + 14*l**2 - 4*l**2)*(52 + 104 - 44).\nAnswer: 5712*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/(-20)*(40\/24 + -1) + 430\/(-142)?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 108*f - 808. Determine d(99).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -n + 690, -j - 46 = -n - 272. List the prime factors of j.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15*(-2)\/4*20\/30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1949*i*o**2 - 15*i*o - 8099*i + 9 wrt o.\nAnswer: -3898*i*o - 15*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 643919.3 millilitres?\nAnswer: 643.9193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4156924 or -4156922?\nAnswer: -4156924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {w: 2, k: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.5356475nm?\nAnswer: 0.0005356475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1591*a + 1279*a = -7549*a - 297018 + 22012 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 8*o + 7. Let y be n(7). Let r(z) = -z - 12. Let d be r(y). Let k = d - -28. Calculate the remainder when 63 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - (-2 - -4)) + -20 + 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 - 0.2. Suppose 5*q - 2*q + 5*d = 1, q + 3*d + 1 = 0. Put 3\/7, q, x in descending order.\nAnswer: q, 3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/7))**(-1\/75)\/(d**(-15)*d*d**(2\/11)*d) assuming d is positive.\nAnswer: d**(24664\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -5.45  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -9*v**5 + 3085*v**4 - 3013*v**3 - 21541*v**2 + 3022*v + 18456 = 0.\nAnswer: -2, -1, 1, 3, 3076\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/212312 and 67\/51?\nAnswer: 10827912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -38, -3, 53, 69 in ascending order.\nAnswer: -38, -3, -2, 1, 53, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -3 - 5 - 4*c + 2 + 1. Let t be u(-2). Differentiate 16 - 5*z**3 + 2*z**3 - 2 + z**t with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 575300*i + 3*i**2 - 4828 - 575300*i.\nAnswer: 3*i**2 - 4828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -356, -351, -344, -335, -324?\n\"Answer: f**2 + 2*f - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - n + 14 = 0, -j - 24 = -3*j - 4*n. Let s = 17 - j. Suppose b - 4*v - 30 = 0, -b = 3*v - s - 1. Solve -b = 4*w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0. Suppose 324*t + 507 - 362 = -503. Put t, -4, 6, s in descending order.\nAnswer: 6, s, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015969 rounded to 4 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1469, 1489, 1523, 1577, 1657?\n\"Answer: p**3 + p**2 + 10*p + 1457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 34306 or -0.03899?\nAnswer: -0.03899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**3 - 5*g**3 + g**3 + (2 - 2 - g**3)*(2 - 6 + 2) + (0*g**2 + 3*g**2 - 6*g**2)*(g - 5*g + 2*g)*(4 + 1 - 3).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express u**2 + u + 3*u**4 - 17 + 39 - u**4 + 2*u**3 - 19 as w*u**3 + d*u**2 + j*u**4 + m + s*u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 285168144 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: Solve -16*a = -26*a + 70 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/24*(-492)\/41.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0 - 3 = 0, -n = -3*g + 35. Suppose -3*w - 1 = 4*q - 32, q - g = -w. Which is smaller: 18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 11:09 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18554251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {c: 11, d: 1, s: 2, q: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 453917 is divided by 11639?\nAnswer: 11635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144345 is divided by 72169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 + (9 + 25 - 4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23577, 23599, 23617, 23631, 23641?\n\"Answer: -2*q**2 + 28*q + 23551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 2*n - 25, -2*u - 5*n + 11 = -2. Calculate the greatest common factor of u and 3132.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -280.219 - -277.4. Let j = -0.019 - h. Let r = -3.3 + j. Which is the second biggest value?  (a) 7  (b) 0.4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-5) + -2)\/(5\/(-1900)). Let p(h) = 7*h - 2. Let z be p(3). What is the greatest common factor of z and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2 - 52. Give d(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 53639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -71.9 - -9.9. Let o = q + 58. Which is the biggest value?  (a) 0.3  (b) 5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) + sqrt(91)*-1)\/sqrt(7) - -6*(sqrt(39)\/sqrt(3))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {b: 2, c: 1, f: 1, s: 3, v: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 285 and 23560?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -146284*g. Let c(w) = 6*w + 8. What is c(n(r))?\nAnswer: -877704*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2 + 40*f - 98. Give s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of -m**4\/12 - 7*m**3\/3 + 10*m**2 - 6*m. What is the units digit of i(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 220 and -1.1.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/6*(-7 - -4). Suppose 0*p + 29*p = 116. Suppose 11 = o*c + 5*z, 18 = 5*c - p*z - 26. Solve w + w = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by -886117\nAnswer: -13\/886117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 11, m: 5, u: 1}.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27012\/5 - -5402. Do g and -2\/1639 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 1962.\nAnswer: 1\/654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -120.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9\/952, 0.2, 4\/5, -0.2, -1?\nAnswer: -9\/952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l + 38*l + 1 + 2*l + 14*l - 19*l. Let d(q) = 21*q**2. Calculate d(f(m)).\nAnswer: 35301*m**2 + 1722*m + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15729 - 15730. Are z and -166.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 0.5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-231)\/(-770) - 57\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 34*c**2 - 33*c - 67. Let i be r(35). Is 63265*(0 - i)*(-3)\/45 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 16*f**2 + 6*f + 40. Let v be m(-6). Let d = v + -576. Solve -2*n + 4*n - 3*l = -3, d*n - 9 = l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -78.8, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + -10. Let q = -233 - -200. Let b = q + 35. Sort v, b, 1 in decreasing order.\nAnswer: b, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 152 + -154. Which is the closest to 0.2?  (a) 0.2  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 3)*(-1 + 1 - 2*x) - 2*x + 7*x - 2*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1, -17, -2\/7, 330?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -6116*p**3 + 2*p**2 - 10*p. Let k(n) = -636063*n**3 + 209*n**2 - 1045*n. Give 209*i(o) - 2*k(o).\nAnswer: -6118*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 21*o + 56. Let v be c(18). Solve 4\/7*i**4 - 2\/7*i**5 - 4\/7*i**v + 2\/7*i + 0*i**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -862.5 + 862. Which is the biggest value?  (a) -7  (b) 5  (c) 0.15  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.4 - 5.4. Let n = -0.027 - -4.027. Let s = n + u. What is the second biggest value in s, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u**3 + 16167*u**2 - 16272*u - 97092 = 0. What is u?\nAnswer: -5394\/5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -431002115 (base 6) to base 7.\nAnswer: -121434125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -15, 4*b + 4*a - 8*a - 136 = 0. Let q = 22 - -7. Is b >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 7*q + 46. Let b be ((-11)\/2 - 2)*(2 - 4). Suppose 14*m - 6 = b*m. Let r be h(m). Solve 0*g + r = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2911*385\nAnswer: 1120735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 68 - 47. What is the remainder when 62 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -626 - -648. Calculate the least common multiple of u and 372.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41988390879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -240121302 (base 5) to base 9\nAnswer: -2053553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10690007111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1649865 and 3?\nAnswer: 1649865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 4*z**2 - 27*z - 10. Let y be i(7). Let q(r) = 2*r**2 - 3*r - 3. Let j(v) = v**2 - 2*v - 2. What is y*j(o) + 2*q(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u + 25. Let o be i(5). Let y be (39\/(-65))\/(2\/o). Which is the second smallest value?  (a) 1  (b) 4  (c) y  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4*-6*(sqrt(220) + (sqrt(220) - sqrt(220)*2 - sqrt(220)))\/sqrt(11))**2.\nAnswer: 69120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**3\/21 + 6185300*a**2\/21 + 12370618*a\/7 + 2650848.\nAnswer: -2*(a - 3092656)*(a + 3)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 85.493065 - 85.5. What is n rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from pjjjzvzjvzv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*j)*(6*j + 0*j - 2*j) + 0*j + 0*j - j**2 + ((-6 + 1 + 4)*(4 - 4 + 2*j) + (j - 17*j + 33*j)*(1 - 3 + 1))*(4*j + 0*j - 3*j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l**5 - 2*l + 5*l**5 - 3*l**5 + (0*l + 0*l - 2*l**2)*(4*l**3 - l**3 - l**3) - 7*l - l**5 + 7*l - 4*l - 3*l**5 + 4*l.\nAnswer: -10*l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3250 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 7, -1, -160, 4 in increasing order.\nAnswer: -160, -4, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (399\/1330)\/((-663)\/260)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -478 and -0.32.\nAnswer: -478.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 - -43201?\nAnswer: 43212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 63830.5 * 0.5.\nAnswer: 31915.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + c + 11, -5*y + 0*c = 2*c - 33. Suppose -y*r + 2*w + 0*w + 15 = 0, 0 = -w. Suppose -4*m - 12 = -20. Solve d - m = r*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of y**4\/12 - 69*y**2. Let a(m) = -2*m**2 - 52*m - 128. Let o(b) = a(b) + 10*u(b). Factor o(r).\nAnswer: -2*(r + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8767 and 1393156.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 111958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1323*t**2 - 504*t + 48 = 0.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -59.6*0.07\nAnswer: -4.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*p + 7*p + 25 = 0. Solve p*n + n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56 + 49 + -15 + -122?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) 5  (b) 76\/7  (c) 11  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -9*v - 10. Let n be d(-5). Suppose 0 = -3*c + 19 + 23. Calculate the highest common factor of c and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21101.\nAnswer: 21101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2736))**2 + -1 + sqrt(209)\/(sqrt(66)\/sqrt(96) + sqrt(11)).\nAnswer: 124*sqrt(19)\/5 + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 9. What is the nearest to -1 in 5, t, -0.5, -20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 60135.9444 seconds?\nAnswer: 0.099431125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {e: 1, f: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88979719 divided by -11.\nAnswer: -88979719\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 20.5. Let j = -0.4 - o. Is j bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*(v*v\/(v\/(v**(-2)\/v)))\/v))\/(v**(-11\/5)*v))**(2\/5) assuming v is positive.\nAnswer: v**(42\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 108 - 109. Let r(c) = c**2 + c - 2. Let i(l) = 3*l**2 - 3*l + 6. Let v(j) = s*i(j) - 3*r(j). Let z(x) = 19*x. Determine v(z(h)).\nAnswer: -2166*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 244*y + 16147. Give s(-65).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.17771562 and -0.1.\nAnswer: 1.07771562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*q**5 - 8*q**4 + 340*q**2 - 10946*q + 1 wrt q?\nAnswer: -60*q**3 - 96*q**2 + 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -209*u**2 + 10. Let y(q) = -11390*q**2 + 544. Determine 272*i(d) - 5*y(d).\nAnswer: 102*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 divided by 55?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 160*2130.\nAnswer: 340800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of c**5\/20 - 2*c**4\/3 - c**3 - 23*c**2\/2 + c + 2. Let o be d(9). Solve 0 = m - w - 0 + 1, o*m + w + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 - 19. Let x be -3 - 3\/9*-179. Let w = x - 56. What is the closest to r in w, -2\/11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3 - 889*h**2 - 74226*h + 11442816 = 0. Calculate h.\nAnswer: -774, -192, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h - 1. Let v(w) = -w + 1. Let t(s) = 6*s + 2. Let p(c) = t(c) - v(c). Let i(k) = -4*p(k) - 7*u(k). Differentiate i(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-76)\/84 + -2 + 3. Let z(a) be the second derivative of 0 + a - m*a**3 + 1\/42*a**4 + 0*a**2. Determine q, given that z(q) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + b = -6. Let d be (3\/(-5))\/((b - -1)\/(-10)). Find the third derivative of 9*t**3 + 11*t**3 - 22*t**d + 10*t**2 wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*n**2*w + 228861561*n*w**2 + 158*w**2 - w - 409747 with respect to n.\nAnswer: -4*n*w + 228861561*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 3*s + 97. Suppose 48*y - 41*y = 0. Suppose -20*z + 71 + 29 = 0. What is the lowest common multiple of z and l(y)?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v**3 - 139*v**2 + 72*v - 180. Calculate j(69).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - -12 - (10 - (0 - (-2 - 0)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 5188 and -741 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 5167*m - 5172*m = 17, -2*m = 4*t - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1343157713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16699222 is divided by 655?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wtzkrktwtwzwrwwxwkkt. Give prob of sequence ztzw.\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - (-4)\/16*0. Let r(v) = -9*v + 11. Let x(a) = -17*a + 21. Let s(l) = -11*r(l) + 6*x(l). Let y(t) = t - 2. Give i*s(c) + 10*y(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 6*o**2 + 2. Let l be (-2 - 2) + -3 + 1. Let v be c(l). Solve 0 = v*h - h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -w + x, -4*w - x + 36 = x. Let z = -51532 - -51542. Solve w*q - 5*q - z = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express o**4 + 2 - 28*o**4 - o**3 + 17*o + 31*o**4 - 107*o in the form g*o**4 + v + f*o**2 + h*o + y*o**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.382 * 16220\nAnswer: 6196.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -2*k**2 - 3*k - 9. Let g(h) = -h**2 - h - 5. Let b(m) = 3*a(m) - 5*g(m). Suppose 8*t + 8 = 6*t. Give b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 34 = -7*g + 2*g, 4*f = -2*g + 24. Suppose -g = -h - 3*h. Suppose 0*s = h*s - 76. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3372 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 14*s + 23. What is y(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 - 36*c - 66. Let m be d(44). What is the greatest common divisor of m and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 2*w**3 + 1300*w**2 + 16562*w = 0.\nAnswer: -637, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*s + 15*s - 165 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 39, 69, 99, 129, 159, 189?\n\"Answer: 30*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -582, -450, -318?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1, 483, 160 in descending order.\nAnswer: 483, 160, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/3*1\/(-4)*42200\/(-4220)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3870000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 534687 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zxzzxxauxz. What is prob of picking 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + g + 12. Let s be 10\/(-3)*g\/4. Sort -6, s, -4 in ascending order.\nAnswer: -6, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-420)\/(-540)*9\/(((-84)\/8)\/(-7))?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -638 + 641. Solve -b - 2*y = -3*b + 2, 4*y = 3*b - d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001310098 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 + 2)*(2*u - 1 + 1).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -111003313 (base 4) in base 9?\nAnswer: -141287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 211\/128?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 670 + 64. List the prime factors of x.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 43*z**5 + 30*z**3 - 9541*z**2.\nAnswer: 2580*z**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -t - 672. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -271120.8 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17826371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 2*q - 2. Let t(s) = 3*s**2 - 5*s + 7. Give -5*i(g) - t(g).\nAnswer: 2*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01185738 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 138622 - 74732. Let t(v) = 0*v + 9 - 12*v - w*v**2 + 7. Let h be t(-12). Round h to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (-45)\/3)*4\/(-8). Calculate the least common multiple of 32 and 8\/(-6)*5\/(10\/h).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1206337341*u**3 + 890354245*u**2.\nAnswer: 7238024046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1439572157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emmmvvvvvvovmevv. What is prob of picking 1 m and 1 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4*i - 833940 + 2673945, 4*i - 1840015 = -3*z. Suppose v - i = 5*v. Round v to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5 - 202*d**4 + 5372*d**3 - 12652*d**2 - 42238*d - 24010 = 0 for d.\nAnswer: -1, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1867 is divided by 185?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -72\/11 + 172\/33. Which is the smallest value?  (a) 0.2  (b) -0.21  (c) u  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v**3 + 2*v**2 + v. Let m = 1568 - 1569. Give j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(((-125)\/(320000\/720))\/((-1)\/(-12)))?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h + 3*h**3 + 4*h**3 + 3*h - 2*h**3 as d*h**2 + w*h**3 + j*h + a and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 378733 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 12:57 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -18070.73 to the nearest one hundred.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 111703*i - 558514. What is o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/25 < -653870.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 115532544 (base 6) in base 3?\nAnswer: 11012121112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, o: 2}. What is prob of sequence rror?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 6:02 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -424*t + 456*t = -32 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1283088, 2566168, 3849248, 5132328, 6415408, 7698488?\nAnswer: 8981568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (73 - 72) + 0 + -1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6094 + -6082. What is the smallest common multiple of 8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-n - 3*n + 3*n)*(-2 + 2 + 2*n) + 8*n - 10*n**2 - 8*n)*(-2*n - 3*n + 3*n)*(3 - 2 + 0*n - n).\nAnswer: -24*n**4 + 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2728*k**5 + 84*k**2 + 2*k?\nAnswer: -163680*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 958\/7 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -8*((-21)\/6 + 3). Let m be u\/10 - 69\/(-15). Suppose w + 35 = 3*i, 2*i + 20 = m*i + 2*w. Calculate the greatest common factor of i and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -13*j**2. Let q(g) = 5*g + 8. Let d(f) = -2*f - 3. Let o(i) = -8*d(i) - 3*q(i). Determine b(o(z)).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/4, 251060, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 10 + 4*f - 23*f - 11*f - 4*f as v + o*f and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.9681 + -0.045987.\nAnswer: 4.922113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49161, -49156, -49153, -49152?\nAnswer: -49153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3048786623?\nAnswer: 739, 811, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2347.88  (b) 0  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 216296 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/15, 0.4, -40\/11, -5 in decreasing order.\nAnswer: 0.4, -2\/15, -40\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000017516 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -25, -1, 3\/2, 4, -0.08?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 9 - 3. Let o be (-1 + 1)\/(-1 + 0). Suppose -3*u - d = o, 3*a - u = -3*u + 4. Solve -3*s + 15 = -5*c, 25 = -a*c - 0*s + 5*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 716292277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.675363 decades in millennia?\nAnswer: 0.00675363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3813, -7624, -11435, -15246?\n\"Answer: -3811*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -516, -578, -650, -732, -824, -926?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 632 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: Let f = 9.3 + -9.8. Let n = -24.7 - -24.9. What is the fourth biggest value in 0.16, n, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(56) - sqrt(336)\/(sqrt(18)\/sqrt(3)))\/(-2*sqrt(512)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s\/(s\/(s\/(s\/((s*s**(-3\/2))\/s)))))*s)**(-28) assuming s is positive.\nAnswer: s**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -f - 4*f + 7*f - 5*f. Let v(r) = -r. Give t(v(b)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 2*d**3 - 134*d**2 + 1 + 133*d**2 + 6*d**4 + 2*d as f*d**4 + y*d**3 + l*d + n + h*d**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-18\/11)*l)\/(l*l*l\/(l\/l**(2\/3))) assuming l is positive.\nAnswer: l**(-76\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*i**3 + 356665*i**2 + 1272206215*i + 763195335.\nAnswer: 5*(i + 7133)**2*(5*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 416029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1495*d**3*o + 3*d**2*o - 8*d**2 - d*o + 184*d + o + 107 wrt d?\nAnswer: 8970*d*o + 6*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*l = -17*l - 54 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 245*g**2 + 17*g + 19. Give w(1).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2392306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 12\/36 + 230\/3. Suppose d*u = 85*u - 7824. List the prime factors of u.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 0.035829\nAnswer: -6.964171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 999475294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5*y**2 - 58*y + 15. Calculate z(10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 89 - (0 + -2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(1\/5)\/i)\/(i*i**(1\/8)\/i)*(i*i**(-2))\/i**(-3\/8))**(-50) assuming i is positive.\nAnswer: i**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -14*w - 9. Calculate p(11).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {o: 1, m: 5, i: 14}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-82 - -79)*2\/81\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 173641912 divided by 50654\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 27*g + 1036 - 334 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7698 - 3791. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 4:52 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from qsqas.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 374\/2831 + -4\/149. Let a be ((-1)\/3)\/((-1)\/3). Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(208) - (2 + sqrt(208))*-5.\nAnswer: 10 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-three halves of a meter?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - x)*(-96 + 61 - 111).\nAnswer: 146*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57999 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 4*u**2 - 130*u**3 - 1 + 3*u**2 + 6 - 17*u**2.\nAnswer: -130*u**3 - 10*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*b + 8 + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17\/36 - 7\/36. What is the nearest to -2\/3 in -4, 3\/22, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n**4 + 460705*n**3 + 460703*n**2 - 460705*n - 460704 = 0. What is n?\nAnswer: -460704, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(272) - -6*(sqrt(272) - sqrt(272)*-3)) + (sqrt(272)*-3*5 - sqrt(272)) + ((2 + sqrt(272))*3 - (sqrt(272)*-1 + sqrt(272))*5))*-6)**2.\nAnswer: 20736*sqrt(17) + 1411344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = -4*c - 2*r, -3*c + 72 = 2*c + 4*r. Let v(p) = 2*p. Let l be v(2). Solve -l*y + c = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 5*a - 9235, 0 = 2*r - 10*a + 5*a - 9245. Suppose 1052*c = 1046*c + r. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 6*l - 1. Let h(v) = v**3 + 2*v**2 - v - 1. Let j be h(-2). Give b(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1735?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111 + -1001000101001111011101?\nAnswer: -1001000101001111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -0.14, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7554585743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**4)\/(m*m\/m**(-6\/5))*m*m\/m**(-1\/15)*m**(1\/3) assuming m is positive.\nAnswer: m**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1940835686696 and 8.\nAnswer: -1940835686688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -6*t**2 + 2. Let p(n) = -7*n**2 + 1. Give 6*o(i) - 5*p(i).\nAnswer: -i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1122*6.482.\nAnswer: 7272.804","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 4*n = -5*t + 3 + 15, 12*t + n = 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 divided by 101077?\nAnswer: -43\/101077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**3 - y**3 - 5*y**3 + (0*y**2 - 3*y**2 + 4*y**2)*(-3*y + 2*y - y) + 0*y**3 + 7*y**3 - 4*y**3.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 - 241 = -4*n. Calculate the lowest common multiple of 90 and n.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 7) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23985 and 29783?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 6 = 0, -119 = -3*j - r - 121 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/5847 and -64\/3.\nAnswer: 5847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 3*o + 63. Let t be c(0). Let g = t + -35. Is 72758\/g - 1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*x - 20. Let d be (0 + -1)*(x + -1). Suppose -q + d*q - 60 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by -19\nAnswer: 43\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5318047 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 232 and 1770583.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 18*d**2 + 4. Let x be q(-18). Let w be (4\/x)\/((-2)\/(-26)). List the prime factors of (-75)\/(-9 + 4)*w.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 604757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 9 = 0, -112*b + 108*b = 5*z - 237343. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -396 + 435. What is the second derivative of -n*p**5 - 555 + 121*p - 37*p**5 + 555 wrt p?\nAnswer: -1520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*o - 0*p - 14, -2 = p. Find the third derivative of 5*k - 5*k - 14*k**o - 12*k**2 - 5*k**2 wrt k.\nAnswer: -1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -50 and -45.35933.\nAnswer: 2267.9665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*j + 117 - 27 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17491 + -7975. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -914*m - 350020 + 297008 = 0 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -1\/6, 0, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + 458?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/4*(-96)\/(-660).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/165, -23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 32676 and 101140.\nAnswer: 2123940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48 - 35.3. Let d = -12.70179 + u. Round d to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -545.8 times -9.08\nAnswer: 4955.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1351777, -1351775, -1351775, -1351777?\nAnswer: -1351781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 60, 120, 180, 240, 300?\n\"Answer: 60*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 118850863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 b when three letters picked without replacement from bbbuubgubbubbbuub?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/303072 and -73\/7392.\nAnswer: 303072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 72 = -n + 29, -3*n - 3 = 0. Let g be (49\/3)\/((-1)\/(-6)). Calculate the greatest common factor of k and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a second in milliseconds?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3348 and 20952?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 17*n - 92. Let r be g(11). Let d = r - -490. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2226 (base 11) to base 8.\nAnswer: -5564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0 - 5 + 4 + 2 - 120*v to g*v + j and give g.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1010012 + 10?\nAnswer: -1010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, w: 2, c: 3, u: 10}. Give prob of picking 3 c and 1 u.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34308 (base 11) to base 10.\nAnswer: -49618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/4784 and -55\/51727.\nAnswer: 827632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3622 + 615 = 16*x - 137*x + 365 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 c when three letters picked without replacement from cchh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(-3 + 5) + 10. Suppose r*v - 5 = v, 18 = 5*c - 2*v. Let h(b) = 9*b + 20. Let d(f) = 5*f + 10. Let w(o) = c*h(o) - 7*d(o). Give w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, 5, -5, -3\/5, -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 13*f**2 + 27*f - 36. Let p be q(-15). Let i be 8\/(-10)*(-450)\/4. Calculate the greatest common divisor of p and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 times 0.06\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (6 + -8 - ((-20 - -12) + 7 + -2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-55)\/(-15) - (-4)\/(-6). Suppose -16 = -l*y + 32. Determine k, given that -y*k + 4*k**2 - 3*k**2 - 7*k**2 - 6*k**2 - 4 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**2 + 0*r**2 - 702721*r + 700832*r as l*r**2 + f*r + y and give f.\nAnswer: -1889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 10:43 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7741 - 7705. Calculate the remainder when 173 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*q - 166, 0 = q + o + 3*o + 65. Let l = q - -56. Does 5 divide (-12)\/15 + (-395)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1274\/753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = -2*v - 26*v + 528 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + 2 + (17 - 1) + (-34 - -13).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 19*h**2 + 1. Let t be k(-1). Let m be (0 + -1)\/(-1 - t\/(-22)). Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2044 - -4152. Is g a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(-19)\/5985*-18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 479\/3 + -953\/6. Let d(v) be the second derivative of -u*v**4 + 0*v**5 - 3\/10*v**6 + 0*v**2 + 0 - 9*v + 0*v**3. Find the third derivative of d(r) wrt r.\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (737\/1474)\/(1\/(-38)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -3*b + 3. Let t be c(2). Let x(o) = -o**3 - 4*o**2 + 3*o + 2. Give x(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + 23*y**2 + 1. Let v be p(23). Suppose 0 = -2*m + 43 - v. Calculate the remainder when 62 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.61 - 0\nAnswer: -19.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -76 (base 14) in base 15?\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -174, 0.8, 1\/27, 2\/15?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.5 in 2\/9, 1\/4, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 92.953987 - 92.96. What is o rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50208*x - 80 = -5*l - 50219*x, 0 = -4*l + 5*x - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a**3 - 16*a**2 - 25*a - 9. Let m be d(-6). Sort 0, -4, m, -1.\nAnswer: -4, m, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 27801*s**2 - 5*s + 2*s**3 + s - 1 - 27804*s**2 - s**3. Let t(y) = -y. Suppose -2*i - 3 = 5. Let p be t(i). What is a(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -389\/156 - -1633\/780. Let u be 4\/14 + 19\/7. Which is the closest to 0.1?  (a) h  (b) u  (c) 231\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9113 or 1676\/7?\nAnswer: 9113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 f, 1 m, and 1 w when four letters picked without replacement from femwcfii.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10127328*f**3 + 668391*f + 17.\nAnswer: 60763968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 7*z - 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -12a715?\nAnswer: 12a718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*m**3 - m**5 - 2*m**3 + (-38*m + 38*m - 6*m**3)*(-2*m + 2*m + 2*m)*(m - 2*m + 0*m).\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3772*k - 34050 = 180954 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -11. Let g be 0\/(2 + -4 - -3). Suppose 5*p = -g*p + 10. What is the third biggest value in -1\/3, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of -4*f + 0*f**5 + 0*f**3 + 1\/3*f**4 + 0*f**2 + 0 + 1\/10*f**6. What is the third derivative of b(c) wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -5. Solve -3*s - 6 = v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25013089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/113 + 347\/452. Let h = 267 - 271. Which is the second biggest value?  (a) 2  (b) h  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2 = -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -55 + 55.4. Which is the fourth biggest value?  (a) g  (b) -2  (c) 1\/12  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (6\/(-5))\/(10\/(-4525)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17.2 - -17.3. What is the biggest value in -0.4, 5, -1\/3, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -260.51 rounded to zero dps?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 328672 is divided by 109526?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*p**3 - 184*p**3 + p**2 - 4*p**2 + 3*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 73520701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1127975740.\nAnswer: 2, 5, 283, 199289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 660 + 2306331?\nAnswer: 2310321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -26, -22, -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -848 - -596.9. Let w = f + 232. Let n = w - -20. Which is the second smallest value?  (a) -2  (b) n  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-26))\/((-12)\/156)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 190266026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 2*i = -18, -3*i + 11 - 43 = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((0\/1)\/7)\/(1*-2). Suppose -3*c + 403 = 2*k, p*k = 2*c + 3*k - 277. List the prime factors of c.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.059005cm?\nAnswer: 0.59005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 68682 or 68625?\nAnswer: 68682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 + 6*m**2 - 3*m + 6. Let z be n(6). Let y be 3\/z - 7\/(-12). What is the closest to y in 2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2420 and 14315510?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((165\/10)\/(-1))\/((-12)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 10:46 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y - 2*b - 14, 3*b = 2*y + 10 - 27 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 7.034.\nAnswer: -6.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 36.47 * 18015.\nAnswer: 657007.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3\/2 - 4275*i**2\/2 - 1520829*i\/2 + 1525107\/2.\nAnswer: -3*(i - 1)*(i + 713)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.2, 5665.\nAnswer: -1, -0.2, 5665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 459 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 1 + 1)*(-d + d - d)*(-d**2 + d**2 - 2*d**3) + (d**2 - d**2 + 2*d**4)*(19*d - 35*d - 17*d).\nAnswer: -70*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9.01015 micrometers?\nAnswer: 9010.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l - 4. Let d(y) = -1. Calculate 5*d(q) + j(q).\nAnswer: -q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11299323*v**3 - 64633*v - 1339.\nAnswer: 67795938*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1580658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -821*z + 10678. Give p(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16161*f = 9110*f - 155122 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -12*b - 113. What is w(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 7*n + 10. Let h be m(4). Let v(o) = 2*o**2 - 4. Give v(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2692 in -1, -2\/15, -177, 3, 1\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a**2 - 2*a**2 + 12*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1007 + -984. Solve -7*l - 2 = -i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-1))\/i**(-9))\/((i\/(i*(i*i*i\/i**(-3\/10))\/i))\/i**(-9)) assuming i is positive.\nAnswer: i**(43\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of 22*i**2 + 0*i**4 + 0*i**3 + 0*i + 5\/84*i**8 + 0*i**5 + 0 + 0*i**6 - 4\/105*i**7. Factor p(v).\nAnswer: 4*v**4*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5991 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 31\/231 and -74\/62672421?\nAnswer: 689396631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.2515469cm?\nAnswer: 2515469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 15*s + 1. Is k(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*m + 18*m**2 - 90*m + 265*m - 84*m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from {t: 3, l: 5, q: 2, c: 2, o: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/10459 and -127\/62754?\nAnswer: 62754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -0.2, 205, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29154715?\nAnswer: 5, 29, 67, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1510*q**2 - 251*q**2 + 1 + 1200*q**2 - 1 + 366*q**2.\nAnswer: 2825*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 943.3.\nAnswer: -940.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -81530 times -36?\nAnswer: 2935080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8716, -17020, -25332, -33658, -42004, -50376, -58780, -67222?\nAnswer: -75708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*v + 56*v = 0. Which is smaller: -1\/102 or v?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t**3 + 11*t**2 + 179*t - 632. Calculate g(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 4, p: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-398*l - 165*l**2 + 200*l + 199*l)*(-2*l**3 + 0*l + 0*l).\nAnswer: 330*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2756 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, o: 6}. What is prob of sequence gog?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -134.94 - -135. Which is the nearest to -1\/4?  (a) 5  (b) w  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 4, -2*g + 5*g - 5*h = 112. What is the remainder when 87 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1*g**(1\/10))\/(g**(-4))**(2\/25) assuming g is positive.\nAnswer: g**(71\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*p - 3*p + 2*p)*(-5*p - 4*p - 685 + 687).\nAnswer: 36*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r - 8. Let z(t) = -t**3 + 7*t**2 + 2*t + 9. Let w be z(6). Let g = w + -39. Suppose -g*n = -20*n. Give q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of 2719*w**4\/12 - w**3\/2 + 6261*w**2 + 11*w + 325. Find the first derivative of f(u) wrt u.\nAnswer: 5438*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*k - 8*k + 25, 2*s - 1 = k. Suppose k*a = -a. Solve -3*p + 2*m = -5, a*m = 3*m + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21454 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 41673, 82534, 123395, 164256?\n\"Answer: 40861*i + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-26)\/(j\/(j**8*j)))**15 assuming j is positive.\nAnswer: j**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1637  (b) -5297  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(1008) + -4 + (sqrt(77)\/sqrt(275) - sqrt(7)) + sqrt(28)*6.\nAnswer: -4 + 116*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 53782 from -0.1.\nAnswer: -53782.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/(18\/(-400)))\/((-30)\/(-94905)). Round w to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-2*6)\/(sqrt(77)\/sqrt(176))*4.\nAnswer: -192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 445d33 (base 16) to base 12.\nAnswer: 160092b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22590.68 years in months?\nAnswer: 271088.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 + 18. Let j be 10\/(-15)*(-12)\/k. Solve -j*y + 20 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 5*r**4\/12 + 2*r**3\/3 + r**2 - 15*r. Determine f(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000136 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g - 5*b + 40 = -2*g, -21 = -2*g - b. Find the second derivative of -g*z**3 + 4*z + 10*z**3 + 4*z**3 wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 b, and 1 q when three letters picked without replacement from {l: 2, j: 3, b: 4, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 116. What is g(-31)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2431422001421 + -3?\nAnswer: 2431422001413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2 + -1*(sqrt(17) + 3*sqrt(1088)) - (-1*sqrt(85)*1 - sqrt(85) - sqrt(85))\/(sqrt(720) - (-2*sqrt(720) + sqrt(720))))**2.\nAnswer: 398*sqrt(17) + 673473\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 4*w = 20*w - 4*w. Suppose 3*o = 15 + 6. Sort w, 4, o in descending order.\nAnswer: o, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3 - 97 = -d, -4*l = -2*d + 176. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -308014, -616030, -924050, -1232074?\n\"Answer: -2*v**2 - 308010*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 4*a**2 + 5*a + 3. Let h be q(5). Suppose -2*d - 2*d + 7 = o, -2*o - h*d - 1 = 0. Let s = 13 + o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + sqrt(1053) + -2)**2 - ((sqrt(208)*-1 - sqrt(208)) + (sqrt(117)*2)\/sqrt(9))**2*1.\nAnswer: -2646 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12 - 4253?\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/20)\/(-8 + (-155)\/(-20)). Let g be (4*2\/(-76))\/(-2). Which is the third smallest value?  (a) l  (b) g  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 296455.2 milliseconds?\nAnswer: 4.94092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 7*t**2 - 201*t - 295. Let i(g) = 15*g**2 - 440*g - 591. Let k(q) = 6*i(q) - 13*p(q). Give k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 892945 is divided by 841?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8616, 16824, 25028, 33228, 41424?\nAnswer: 49616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 145847, 7, 5, -4 in increasing order.\nAnswer: -4, 2, 5, 7, 145847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.22 + -16.51.\nAnswer: -16.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-43)\/(-4 + 5 + -2). Let t = 50 - 40. What is the remainder when r - (1 + 4 + -1) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 183.863 - 154.37. Let y = g + 0.307. Let z = y + -29.8000492. Round z to 6 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1217705980?\nAnswer: 2, 5, 271, 224669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78 + 113. Suppose 19 = 4*u + o + 2, -3*u + 3*o = -9. Let n = 1 + u. What is the greatest common divisor of p and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 4199.\nAnswer: -3\/4199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 9:30 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -283 - -180?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1110\/130)\/(-37)*6\/(-27)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -279 divided by 3?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2277 * 133\nAnswer: -302841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6663 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -27.34 + 28. Let v = 1.06 - a. Let s = 39 - 41. Put s, v, 4 in descending order.\nAnswer: 4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 + 3 - 3)*(3 + 0 - 2)*(27 - 2*y - 27) in the form u + g*y and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t - 1815*t**3 + t + 3031*t**3 - 1691*t**3.\nAnswer: -475*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/(sqrt(120)\/(sqrt(12) + sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r*r**(-1))**(-13)\/((((r\/r**(-1\/3))\/r*r)\/r)\/r)**(-1\/17)*(r\/r**1)**(28\/3)*(r*r*r\/r**(-6)*r*r)\/((r\/r**(-3))\/r) assuming r is positive.\nAnswer: r**(-920\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18352903067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11173 - -11173.1. Sort z, -5, 0.5, -6, 0.2 in decreasing order.\nAnswer: 0.5, 0.2, z, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 79035005 and 14?\nAnswer: 158070010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 820 = 15*u + 24*u - 181 - 169 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p**2 - 27*p**2 + 4*p**2)*(3*p + 18*p**2 - 3*p + (2*p**2 + 2*p**2 - p**2)*(1 + 0 + 0)).\nAnswer: -336*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95 and 27415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 684\/627*(-110)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -10*d + 1061. Let v(a) = a**2. Determine y(v(g)).\nAnswer: -10*g**2 + 1061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55335, -110447, -165559?\nAnswer: -220671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 74*16\/416 - (-6)\/39. Let q(x) = 1. Let n(m) = -m + 6. What is u*n(r) - 12*q(r)?\nAnswer: -3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1261466 (base 9) to base 2\nAnswer: 10101000011101100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 2*a**5\/13 - 612*a**4\/13 + 45248*a**3\/13 + 612*a**2\/13 - 45250*a\/13 = 0.\nAnswer: -1, 0, 1, 125, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-24))\/(19\/(-2)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34087*h**2 - h*t**2 + 12*h + 2161312*t**2 with respect to h.\nAnswer: -68174*h - t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 minus 564.7842?\nAnswer: -564.7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vyb when three letters picked without replacement from zzbyzbozzzzvzo.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2 - 1853?\nAnswer: -1854.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 885 and 210630?\nAnswer: 210630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 335036.5t?\nAnswer: 335036500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15032176*(14 - (-1326)\/(-96)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 34529 + 34580 = 8*k, 3*p = 5*k + 66 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (91\/14 + -6)\/(18\/252). Solve -w*x - 10 = -3*x + 5*y, 1 = x + 3*y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*(0 + sqrt(1377) + sqrt(1377)) - sqrt(1377)) + sqrt(1377) + -4 + -1 + sqrt(119)\/(sqrt(7) + (sqrt(700) - (-2*sqrt(700) + sqrt(700)))))*3)**2.\nAnswer: -11370*sqrt(17)\/7 + 2452922\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1800599?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 76 + -63. Let b = -7 + v. Solve -3*c + 4*g - 1 = -22, 5*g + b = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l**3 + 10*l**2 + 5*l - 17. What is the hundreds digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 45?  (a) -0.1  (b) 3  (c) -2\/9  (d) -2  (e) 32\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**3 + 4*y - 4*y)*((-2 + y + 2)*(2 - 2 - y) + 0 + 0 + 2*y**2) + (3*y**3 - 5*y**3 + y**3)*(-2*y**2 + 0 + 0).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 4, 1\/5, -3.1, 2\/127?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 - (-26 + 24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-20))\/(4\/20 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**2 - 192 - 175 - 162 + 1786*f - 1786*f + 721 - 164.\nAnswer: -f**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s. Let m(n) = 11 + 6 - 29 + 11. Let h(i) = 4*i - 5. Let a(z) = 2*h(z) - 10*m(z). What is g(a(v))?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -336258 divided by -40.\nAnswer: 168129\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -160.325 - -160. What is k rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 1 + 0*l + 2*l + 0*l. Let t be -13 + ((-1530)\/54 - -30 - (-148)\/12). Calculate n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 50\/(-5)*(-10808)\/(-3860)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-160)\/40*1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1203 - 1203. Is 12\/179 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(1\/3))**(8\/9))**(-1\/32) assuming p is positive.\nAnswer: p**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.311 - 0.189. Let j = 14.6 + q. Let w = 4 - 1. What is the nearest to j in 1, w, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1672310\/63 + -185806\/7. Factor g*n - 14\/3 + 2\/9*n**2.\nAnswer: 2*(n - 3)*(n + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qlvlvllaalalqaavqvq. What is prob of picking 2 q?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12198123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/(1 + -7))\/((-11)\/(-198)). Let w = 29 + -11. What is the greatest common factor of w and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 8*c**3 - 3*c**2 + 113*c - 6. Let s(d) = -11*d**3 + 4*d**2 - 114*d + 8. What is -4*q(h) - 3*s(h)?\nAnswer: h**3 - 110*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/2*(-1 + 0)*-2. Let v = 3 + 2. Suppose -5 = 5*l, -5*p - v*l + 195 = -0*l. Calculate the highest common factor of p and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 3*q - 3*z - 15, 2*z = -q + 5. Solve 0*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6809 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10049, -19816, -29395, -38780, -47965, -56944?\nAnswer: -65711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 (base 9) in base 6?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 18 = 3*t - 4*n, 27 = 5*t - n. Suppose t*y + 17 - 7 = 0. Is (-2)\/(y\/(-1636)*-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -21*n**2 + n + 5. Let y(l) = -20*l**2 + l + 4. Determine -5*t(a) + 6*y(a).\nAnswer: -15*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 3*a - a)*(-a + 4*a - a) + (-5 + 2 + 2)*(-2*a - 2*a**2 + 2*a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u + 4. Let t be x(10). Let q = 37895 - 416569\/11. Are q and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -278 - -1943\/7. Let w = 5\/28 + q. What is the nearest to w in 0.19, 5, -2?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50196444577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 5:03 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 - -3837?\nAnswer: 383d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 27 = -k, 4*m + 4*k = 2*m. Let g(n) = -n**2 + 2*n + 5. Let x be g(-6). Let z = x - -63. What is the least common multiple of z and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -169 divided by 8346\nAnswer: -13\/642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -5*o - 184. Give t(-35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -8*i + 80. Let t be 14 - (-4)\/8*-8. Let c be x(t). Solve c = 4*k + 4, -2*z = k + 5 + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 PM and 11:37 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-100)\/(-36) - (-2)\/9. Suppose d = -3*q + 15, -n*d + 4*q + 9 + 10 = 0. What is the units digit of 2 + 4\/(4\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 232\/(-2436)*(-11)\/((-11)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - 3 - 10\/(-2). Suppose 1 - 7 = -x. Suppose 2*v = 4*v - x. Solve 6*y - 8 = 2*y + 5*i, 2*y - t = v*i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(1\/7)*t*t**2\/t)\/((t**(1\/4)*t)\/(t**(4\/7)*t*t*t)) assuming t is positive.\nAnswer: t**(153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 18\/5*(228\/627 - 13141\/(-11)). What is the greatest common factor of 162 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 9:30 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 187 and 5423?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -s + 97. Calculate the remainder when s is divided by (-5 - (-57)\/15)\/(16\/(-1160)*1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 570 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) -80221  (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 4:57 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t = -2*g - 2, 671*g - 676*g + 15 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -185881209 plus 0.05?\nAnswer: -185881208.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -905.6 + 907.6. Which is the nearest to -3?  (a) -0.7  (b) -3  (c) -4\/9  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2122354837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jharh. What is prob of sequence aj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*g**3*t**3 + 93439*g**3*t**2 + 9*g**3*t + 15269*t**4 wrt t.\nAnswer: 204*g**3 + 366456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -23 - (2 + 14) - -14\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 5063690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (99*c**2 + 194*c**2 + 300*c**2)*(0*c + 0*c + c**2).\nAnswer: 593*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**30*u)**(2\/23)*u\/(u**(-1\/22)\/u)*u\/u**(-28) assuming u is positive.\nAnswer: u**(17073\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -8*y - 57. Let f(v) = -8*v - 58. Let b(x) = 6*f(x) - 7*r(x). What is the least common multiple of b(-6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.07 + 0.43. Is -56\/5 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -2*i + 6, 26*i + 15 = 25*i + 3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -6*u. Let k(j) = -265*j + 82*j + 85*j + 92*j. Give h(k(l)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 4:37 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 6) + 4 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1548\/11 or -1\/15?\nAnswer: -1548\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 - 23464*u**2 - 23462*u.\nAnswer: -2*u*(u + 1)*(u + 11731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 23*o + 217. What is f(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 31, 159, 373, 673?\n\"Answer: 43*x**2 - x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 163 - -1?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 8*o - 2. Let t(q) = -15*q + 6. Let x(z) = 3*t(z) + 7*y(z). Let w(b) = 7*b + 3. What is -8*w(m) + 5*x(m)?\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 7*m - 7. Let i(r) = -3*r + 3. Let p(s) = 9*i(s) + 4*o(s). Let y be p(5). Differentiate -12*j**y - 2 + 6*j**4 - 5 wrt j.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -75 - -419. Suppose -15*v + 191 = -454. What is the highest common factor of v and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 2*r - 18 = 0. Suppose -c - 5*y + 19 = 0, -4*y = -2*c - 1 - r. Let p be 28*(9\/c - 1*2). Solve -5*i - p = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7847.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 4*m + 703 - 87, m + 305 = c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {n: 2, g: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/90*(54\/40)\/(-20 - (-582)\/30)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + 0.5. Let s be -724*1*(-1)\/(-6). Let p = -119 - s. Which is the closest to -0.2?  (a) u  (b) p  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 576 + 13*p**3 - 576.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**2 + 12*l - 12. Let a be f(12). Let h(z) = -z**3 - 11*z**2 + 12*z + 2. Let m be h(a). Solve 2*v = -m*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((-20 - -12) + (-5 - -16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c6 - 8a?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*h - 13*h - 26*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 7+-1.163224\nAnswer: 5.836776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (97 - 103 - (-1 - 20) - -15).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -21  (b) -0.11  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19377 is divided by 69?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -22*l**2. Let h(g) be the first derivative of 0*g - 40 - 3\/2*g**2. Give b(h(f)).\nAnswer: -198*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 4*u + 2. Let g be o(-4). Let 32 + 24*k**g + 4*k**3 + 2*k + 23*k + 23*k = 0. What is k?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 67*t - 935. Let q be y(15). Suppose -62 = -5*j - 12. What is the greatest common factor of q and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of -13*q**8\/168 + q**7\/70 + 3*q**6\/20 + q**4\/24 - 883*q**3\/3 - 3654*q**2 + 2. Find the second derivative of v(i) wrt i.\nAnswer: -520*i**3 + 36*i**2 + 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*k + 2*k - 5*k)*(-2 - 4*k + 2)*(2*k**3 - 4*k**3 + 3*k**3).\nAnswer: 100*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.8649 to one dp.\nAnswer: 22.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 9 = -44. Let g = 7 - 5. Suppose 56 = 4*i - g*z, 4*i - i - 2*z - 43 = 0. What is the remainder when i is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 120*k - 1098. Let m be p(-10). Solve -14 = m*y + 2*u - 4, 13 = -2*y - 3*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3677 = 68*h - 72*h, 2*h = 5*o - 3681. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 142 divided by -898.\nAnswer: -71\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -82, -7, -114, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 4*p)*(6*p**2 + p**2 - 3*p**2)*(-p - 10*p + 23*p).\nAnswer: 192*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**3 + 9*k**2 + 3*k - 5. Let o be r(-4). Let a(j) = 1. Let f(p) = 3*p + 3. Let u(z) = o*f(z) - a(z). Determine u(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 338*w - 9. Let l(t) = 1021*t - 25. Calculate 11*k(g) - 4*l(g).\nAnswer: -366*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g + 131. Let w(x) = x**2. Give t(w(b)).\nAnswer: -b**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -97 + 96.959. Let r = m + 0.133. What is r rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 301087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 2*j = 40. Suppose 5*m + 25 = -0*m, -n + 2*m = -j. Calculate the remainder when 46 is divided by -1*2 - 9*n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = k - 3*j - 19, -5 = 2*k + 3*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppppssspsps.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2702276*d**2 - 2702319*d**2 - d + d + 2*d - 2*d.\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -57*(-1 - 4\/(-6)). Suppose 4*o = -7 + g. Suppose 1 + 11 = -3*i, -n - 3*i = o. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 - -2)\/(5\/20). Suppose -4*i - 5*s + 12 = 0, 0*s = n*i + 2*s. Let d be i*((-32)\/12 + 3). Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15 - -8) + (-11 + 5 - -13) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -8, 8, -19, -33, 4 in increasing order.\nAnswer: -33, -19, -8, -5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -93.935917+0.7\nAnswer: -93.235917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 742 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 0 divided by 257576?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 781*t**2. Let r(v) = 13*v**2. Give -2*i(c) + 121*r(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62578318 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/((-945)\/(-28)) + 4\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 10:21 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 5*s - 39 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 408150 rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 34 + 84 + (-45 - (30 - 53))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 143\/6 and -163\/960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -l + 30. Suppose -56 = -4*n + l. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 0 + 22*f - 7\/2*f**2 + 5\/6*f**3. What is the tens digit of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13479360 greater than 13479360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3122, -6245, -9368, -12491?\n\"Answer: -3123*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -181 + 181.2. Let c be 0 - -1*(2 - 0). Suppose -6*p = -5*p - 1. What is the nearest to p in q, -3, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (234\/45 - 4)*15. Suppose a*k - 4957 - 15401 = 0. What are the prime factors of k?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 209438583\nAnswer: -2\/69812861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6959, 27739, 62381, 110891, 173275?\n\"Answer: m**3 + 6925*m**2 - 2*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/14*161\/(-184).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 4 and 291.98.\nAnswer: 295.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3820 by 140183.\nAnswer: 3820\/140183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the third derivative of g**4\/6 - 5*g**3\/6 - 9*g**2. Let t be b(2). Suppose w = 0, t*h = h + 3*w + 84. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42 - -61. Let a = 156 + -138. Which is greater: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 11, p: 3}. Give prob of sequence pt.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 456.0381kg?\nAnswer: 456038100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4717 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*f + 14405 - 14412 + 6*f)*(-5 + 4 - 2)*(2 + 5 - 5) in the form r + i*f and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16157, -64565, -145243, -258191, -403409, -580897, -790655?\n\"Answer: -16135*o**2 - 3*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**3 + 4*b**2 + b - 4. Let n(f) = -7*f**3 - 7*f**2 - 3*f + 7. Let v(z) = -15*m(z) - 6*n(z). Suppose v(o) = 0. Calculate o.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76 a factor of 700428355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the second derivative of -m**3\/3 + 73*m**2\/2 - 2*m + 142. Let a be c(35). Solve 3*i = q + 14, 2*q - 6*q - 20 = -a*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 * 0.039876.\nAnswer: -0.019938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110011000011011111 (base 2) in base 7?\nAnswer: -4001642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6435003 years to centuries.\nAnswer: 0.006435003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*z - z = 3*z + 1276. Let u(j) = 2*j**3 + 59*j**2 + 28*j - 26. Calculate u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2.3, 1\/4, -206, -1\/2.\nAnswer: -206, -1\/2, 1\/4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 3*p + 17, -4*p + 13 = -q - 7*p. Factor 0*r - 2\/15*r**4 + 0 + 0*r**q - 2\/15*r**3.\nAnswer: -2*r**3*(r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -723, -2486, -5213, -8904?\nAnswer: -13559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 4:40 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39.7 + -39.8. Let m = 1.8 + 0.1. Let o = m + -2. Is x < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 1\/7  (b) 4  (c) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9549\/11 + 869. Let t be 32\/(-40)*3\/(-24) + (19\/10 - 0). Factor -4\/11*k - c*k**t - 2\/11*k**4 - 8\/11*k**3 + 0.\nAnswer: -2*k*(k + 1)**2*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 245 divided by 420.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -192*s**6 - 803*s**6 - 703*s**6 + 1019 + s**2 + 547*s**6 wrt s.\nAnswer: -138120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 12*h**3 + h + 1. Let v be p(-1). Let u = -11 - v. Calculate the common denominator of (198\/12)\/(u + 2) and -1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.00209*-1.18\nAnswer: -0.0024662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 2.64, 221.\nAnswer: -2, 2, 2.64, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -34283, -34264, -34219, -34136, -34003?\n\"Answer: 2*q**3 + q**2 + 2*q - 34288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24 - -2) + -22 + 62.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (16\/172*30)\/98. Let o = -119633\/164346 - q. What is the common denominator of -17\/18 and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-4)\/(-3) - 4*(-20)\/40)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45341?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -6, 5*d + 3*f = 3*d - 11. What are the prime factors of d\/(-4) - (-31)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 4*t + 11, 5*j - 17 = t + t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1298971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1180 times -0.053225?\nAnswer: 62.8055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 739, 3132, 7127, 12730, 19947, 28784, 39247?\n\"Answer: i**3 + 795*i**2 + i - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4173 and 6?\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 514919 take away 235.8115?\nAnswer: 514683.1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 91\/(-4) + (4 - -17) + 1269\/12?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 2*z - 67 = -5*f, 4*z + 119 = 5*f. Let c = z - -14. Let s be 7\/3 + (-8)\/c. Solve -s*o + 6*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-180))\/(-8*9\/720).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35 - 21. What are the prime factors of 326\/b - (-18)\/(-63)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -31, -76, -163, -304, -511, -796?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1085 - -1493. What is the greatest common factor of 51 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t + 65*t - 24*t + 88 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 - 7. Let b = h + 29. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {i: 4, a: 4, w: 12}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13287*h**5 - 205*h**4 - 21938382*h wrt h?\nAnswer: -265740*h**3 - 2460*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.1  (b) 0  (c) -21  (d) 36\/17  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 114803107323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21864040.\nAnswer: 2, 5, 11, 17, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + o = 2770, 2*o + 1002 = -5*a + 4463. Suppose -52*p + 4*j = -51*p - 103, -4*p + 2*j = -272. Calculate the highest common divisor of a and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 - 2)*(0*m + 2*m - 3*m)*(-2*m**2 + 21 - 4*m**3 - 21) to the form w*m**2 + o*m + t + q*m**4 + s*m**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 14 + 2 = -4*p, -1 = 4*n - p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31*l + 134*l**2 - 65*l**2 - 8*l wrt l?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11960 and 557635?\nAnswer: 4461080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 23. Sort -2, h, 0.15 in descending order.\nAnswer: h, 0.15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4 = 2. Suppose -20 = -13*u + 3*u. Suppose 5*f - y - 38 = 0, 0 = u*f - k*y - 20 - 3. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-50)\/75)\/(138\/(-2070)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -65, -99, -133?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.42323 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/((-2)\/(-9) + (-47)\/171). Let z = v + -19. Solve -4*p + 2*p = z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -10*f**3 - f + 3*f**2 - 4*f**2 + 2*f**2. Let v be (-1)\/(-7) + ((-600)\/84)\/1. Let o(d) = -7*d**3 + d**2 - d. What is v*o(p) + 5*u(p)?\nAnswer: -p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l - 17. Let y(q) be the first derivative of -9*q**2\/2 + 18*q + 36. Let h(w) = 5*d(w) + 4*y(w). Calculate h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2*j = -13, -3*j + 2 = 2*c + j. Put c, -4, 3, 46 in ascending order.\nAnswer: -4, c, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2268 = 138*f - 6896 - 6964 for f.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -0*f - 4*f + 316, 3*f - 247 = d. Suppose -4*o + 25 + 219 = 3*t, -3*t + 4*o = -236. Which is bigger: t or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.5 - -1.5. Suppose -5*k + 4*d = 12, 5*k + d = -4*d - 30. Let b be (7\/126)\/(2\/k). What is the nearest to 0.1 in -0.5, q, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -20 - 6*k**2 - 8 + 9 - k**3. Suppose -65*x + 56 = 706. Is f(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 5. Let y be n(-5). Let d be (-2)\/6 + 10\/3. Suppose f + d*x = 11, 0 = -f - 2*f + 2*x. Put f, -4, y in descending order.\nAnswer: f, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1983201*h + 17622 = -1981599*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (3 - (-10 - -16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 115216, -5 in increasing order.\nAnswer: -5, 3, 115216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 104\/416 + (-166)\/348 and -11\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 7*v - 3*l - 27, -3*l = 3*v + 3. Let o(p) = -2*p**2 - 1. Let z(j) = -j**2. Let y = -2 + 1. Let m(r) = v*z(r) + y*o(r). Find s, given that m(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**2 - 17*x**3 - 26*x**3 + 33*x**3 + 11 + 13*x**2 as n*x + t*x**3 + k + l*x**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*h + h + h + (-h - 2 + 2)*(-1 + 4 + 1))*(-26 - 97 + 35) to the form p*h + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 96 = -5*a + 2*d, -2*d = -2*a + 48. Let g = a - 3. Calculate the greatest common factor of g and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 387.7 + -362. Let q = 1.3 + u. Let t = -26.5 + q. Which is the third biggest value?  (a) -5  (b) t  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -16. Suppose -j + g*u + 137 = 0, -u = j + 4*j - 706. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 12982.53mm?\nAnswer: 12982530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-51)\/(-15) + (-2)\/5. Let c = 357 - 355. Let m(x) = 4*x - 3*x + x**2 + 1 - d - 2*x**c. Give m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i. Let r be v(-1). Solve -2*s = -5*s - f - 11, -7 = r*s - 4*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - (-5 + (4 - 7) + 9)) + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 13*w**2 + w - 1. Let o be (4\/(-10))\/(14\/70). What is the tens digit of c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -40766 to the nearest 1000.\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 9*p**2 - p - 7. Let b be r(-9). Find the third derivative of 2*y**2 - y**5 - 3*y**5 + b*y**5 - 3*y**2 wrt y.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1977816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 1.25, -2, -1, 2.9 in descending order.\nAnswer: 2.9, 1.25, -2\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - k = -6*z + 10, 3*k + 2 = z. Suppose -12 = -3*x + 3. Suppose -x = -z*h - 3*h. Let d(q) = -2*q**3 + q - 1. What is d(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 327733 (base 8) to base 4\nAnswer: 122333123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32032031 (base 4) to base 16.\nAnswer: -e38d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, -7, -0.41?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3bc9 (base 14) to base 3\nAnswer: -112111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j = -26 - 260. Solve u = -2*a - 11, 0*u = 3*u - 5*a - j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -12. Suppose -24 = -x*p + 11. Suppose -o + p = -5. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 259*h - 261*h + 6 = -2*m, -16 = 4*m - 2*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -x + 5. Let p(s) be the third derivative of -s**6\/120 - s**5\/60 + s**4\/12 + s**2 + 38*s - 36. Calculate p(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 109a + -ae?\nAnswer: edb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6733 = 271*d - 258*d - 39976. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/56*(-96)\/(-972)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1445718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnoeeneee. Give prob of sequence oe.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -259785151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1838149 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 7  (c) -1  (d) 4\/117  (e) -2\/7  (f) -2\/535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/228 and -83\/8?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*z + 62*z - 48*z + 52*z.\nAnswer: 159*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**2)\/o*o*o**(-2\/13))\/(o**(-7)\/(o*o**5))*((o*o*o\/(o**(2\/19)\/o*o*o))\/o**(2\/29))**(-12\/7) assuming o is positive.\nAnswer: o**(637606\/50141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**3 + 32*a**2 + 9*a + 18. Let n be x(16). Find the common denominator of 27\/7 and 1\/n*-431 + 2.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4, o: 8, y: 1, k: 2}. What is prob of sequence ykka?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddqssqdqddqdd.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 37881 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 40859007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1066, 1026, 920, 718, 390?\n\"Answer: -5*o**3 - 3*o**2 + 4*o + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5880 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + u = -3610, -3*w - w = 2*u - 14452. Let s(h) = 8*h**3 + 2*h**2 + 3*h - 2. Let x be s(6). Suppose 2*y - 4*k = x, w = 4*y - 2*k - 2*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5556.925 kilometers in nanometers?\nAnswer: 5556925000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372 is divided by 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 16*t - 153 = -12*t, 0 = 5*r + 3*t + 255. Let m = r - -107. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 541518*t**2 + 74012*t**2 + 4988923*t**2 + 674211*t**2.\nAnswer: 6278664*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 153084.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6770 or -488?\nAnswer: 6770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 24927 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from mvvvvvvvvviliolviim?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/(-30)*1*(-7)\/(-294)*6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 4:10 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 1 - 1 + (-2*l + 1 - 1)*(-3 + 0 + 1) + (-1 - 3 + 5)*(4*l - 2*l - 6*l))*(-3 - l + 3).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -335, 1, 26 in descending order.\nAnswer: 26, 1, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 25 = -5*k, 3 = 5*k - 2*m - 1. Is ((-52)\/208)\/(-1*k\/7096) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5380 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -9\/2*x**4 + 7*x + 1\/3*x**3 - 6 + 5\/2*x**2. Is w(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7 + 62*m - 157*m**2 + 1238*m**2 - 143*m wrt m.\nAnswer: 2162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000922061 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139 - 76. Let w = -62.99782 + i. Round w to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1320 and 1155.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -137, 5, 0.5, 3\/8, -2\/9?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -10) + -2 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, t: 1, p: 1, f: 1, j: 1, m: 1}. Give prob of sequence jfp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + z - 6 = -3*n, -2*n = 2*z + 12. Let f be z + (0 - 7\/(-2)). Let q = 8\/15 - 1\/5. Sort f, 0, q in decreasing order.\nAnswer: f, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-8)*((-68)\/4 - -13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 500 + -499.9. Are 831 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/42*63\/(-18).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*t = -61*t + 42 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 888 and 411288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in thirty-one halves of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 9*(0 + (-6)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037307 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26619*u**5 - 47924*u wrt u?\nAnswer: -532380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 9021294 divided by -2\nAnswer: -4510647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 8, o: 6, y: 3}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 180 - 163. Suppose k + 16 = -3*k, -z - 2*k = -w. Solve -3*a = 2*a - z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 156.7 + -166. Let t = -9 - v. Which is the nearest to 2\/7?  (a) 2\/9  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13670 - -13696. Calculate the highest common factor of 7943 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -391*r - 2*d = -390*r - 11, 0 = 5*r - d + 22 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -2*w**2 + 14*w - 10. Let c be b(6). Determine h so that 3\/4*h**c + 3\/2 + 9\/4*h = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.332, -14, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 173 (base 14) to base 12.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 8*n + 10095 = 0. Suppose 3*y = -0*y + n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 962*z**2 - 19*z + 52. Let i be f(3). Calculate the highest common divisor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j + 46. Let x be p(23). Suppose x = -y + 128 - 99. Calculate the remainder when y is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -30 + 29. Sort 4, c, -0.009, -2.\nAnswer: -2, c, -0.009, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 534352 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16\/(-6) + 1 - 15\/45. Let b(o) = -10*o. Calculate the remainder when 37 is divided by b(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 6950, 55664, 187898, 445412, 869966, 1503320, 2387234?\n\"Answer: 6960*q**3 - 6*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 22*h + 0 + 1 + 8*h - 15*h.\nAnswer: 15*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5865 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3*s + 1. Let k(m) = 2*m**2 + 95*m - 2. What is -2*i(g) - k(g)?\nAnswer: -2*g**2 - 89*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from kllkllklllkkk.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -12477, -48579, -108749, -192987, -301293?\n\"Answer: -12034*v**2 - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/3, -5, -2, 18.739, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + (37037\/(-52))\/37.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)*2 - sqrt(539))*4 - ((-2*sqrt(539)*2)**2 - sqrt(539)).\nAnswer: -8624 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67475?\nAnswer: 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23110331 - -11302?\nAnswer: -23044024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 278 a factor of 3890163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -10, -1\/31, -6, 0 in descending order.\nAnswer: 2\/11, 0, -1\/31, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*(((b*b**(2\/3))\/b)\/b)\/b))**(-2\/3)*b**(-8)\/(b*b**(-2\/13)*b*b) assuming b is positive.\nAnswer: b**(-1373\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * -14.8.\nAnswer: 1.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 0. Let z be v\/(-45) + (-10)\/(-50). Which is the nearest to 3?  (a) -2  (b) -5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 0 + 1\/60*z**5 - 8*z**2 + 2*z + 13\/6*z**3 - 5\/8*z**4. What is p(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -18. Suppose -2*c + 5*g = 3*c - 25, -4*c - k = 2*g. Let o(a) = 370*a**2 - a + 2. Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*4*(5*sqrt(396) + sqrt(396))*-5.\nAnswer: -2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -17\/4, -0.4, -4, -1, -1383, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -41811, -83721, -125629, -167535?\n\"Answer: o**2 - 41913*o + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (18\/(-4))\/(3\/(-4)). Suppose 2*j - g + 0 = 0. Suppose -2*t = -j*t + 22. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2 = k - 3*g, 3*g = 12. Let u be 80\/(-25)*(-15)\/k. Let d = -48 + 84. Calculate the highest common divisor of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 + o**2 + 1. Let k(n) be the third derivative of -10*n + 0*n**4 + 1\/24*n**6 + n**2 + n**3 + 1\/30*n**5 + 0. What is -3*d(x) + k(x)?\nAnswer: 2*x**3 - x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*u - 12*u + 298. Let s = u - 88. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 37606*r - 22864454. What is s(608)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2022323 (base 9) to base 7\nAnswer: 12106026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 186 = 83*m - 85*m, 7*t - 5*m + 318 = 0 for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -642.7 and 9.\nAnswer: -5784.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f = 5*f - 1540. Let x = f + -74. Solve 4*b - b = -x*u - 18, 2*u + 15 = -3*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 577374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20.948 + 0.052. Let i = -2.08 - 18.72. Let o = i + f. What is the closest to -2\/7 in o, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2130 - 3085 = -9*i + 5957. Calculate the greatest common factor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m = q - 69 + 25, 3*m + 5*q = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 6:06 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1282 divided by -188.\nAnswer: 641\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + (15 + -35 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = f + 85, 5*w - 10*w - 3*f = -465. Calculate the lowest common multiple of w and 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = 9*n - 7*n. Let z be ((-1)\/(-2))\/((-6)\/444). Let a = z - n. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634475883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**6\/40 + 3*g**5\/20 - 3*g**4\/8 + g**3\/2 + g**2\/2 - 5. Let a(w) be the second derivative of s(w). Factor a(i).\nAnswer: -3*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 18*c + 2730. Let i be g(-44). Solve 3*h - 5 - i = 2*k, 5*k = -5*h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 837868417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 389*r**2. Let s be z(1). Suppose 2*c - f - 153 = 0, -f - 3*f = 5*c - s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 811164 and 165048?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -313014 (base 5) in base 12?\nAnswer: -6014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bddbbnndnnb. Give prob of sequence bdbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/6 - 1071445*r\/3 - 15000181\/6.\nAnswer: -(r + 7)*(r + 2142883)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -389145.\nAnswer: 1\/77829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 174618 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2556233831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -62 - -87. Solve c = 4*u + u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30329\/14 - -4333\/2. Sort 0, f, -0.01, -4 in decreasing order.\nAnswer: f, 0, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -8.6. Let w = 1 + n. Which is the closest to 0.1?  (a) 0  (b) -1\/3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.79 plus -0.4?\nAnswer: -4.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -3*f - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/(-42)*(-2)\/5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4 - (-44)\/8)*-2. Suppose 5*h = y + 2 - 11, -y = -h - 1. Which is the closest to y?  (a) -0.12  (b) 5  (c) 0.2  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95161 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/8235 and -16\/105.\nAnswer: 57645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*q - 29, -7*q + 3*q - 3*d - 50 = 0. Let i = q + 14. Let j = 22 - i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.65978 + 0.04022. Which is the closest to -0.1?  (a) w  (b) 13  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**3 - 2*x**3 + 0*x**3)*(1 + 1 - 4) + (0*x + x - 5*x)*(5*x**2 - 5*x**2 - 2*x**2) + 22*x**3 + 8*x**3 + 19*x**3.\nAnswer: 61*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**2 + 2*m - 1. Let y(z) = -z**2 + z. Let d(q) = -2*w(q) + 3*y(q). Let l be (-2)\/4*(-5 - -5). Calculate d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**3 - 20*n**2 + 11*n + 25. Let j be d(20). Let v = -50 + j. What are the prime factors of v?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 161, 637, 1427, 2531, 3949, 5681?\n\"Answer: 157*s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16283668019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 14*g = 13*g - 28, 4*i - 4*g = 40. Solve -i = -5*l - 4*m, -21 = -l + m + 3*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -14*y - 43. Let d be g(-3). Let a(o) = -7*o + 5. What is the units digit of a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 1\/3, -0.115, 0, 2, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -1.6  (b) 0.2  (c) -0.01  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -53 + 3. Let t be f\/(-35) - 46\/(-14). Let p be (8\/20)\/((-8)\/(-60)). Is t less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 22\/(-5) + 4\/10. Let p = 0.2 + -1.2. Which is the nearest to -0.2?  (a) p  (b) -3\/2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24274*b**3 - 12125*b**3 - 12132*b**3.\nAnswer: 17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is cc33 (base 14) in base 10?\nAnswer: 35325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + s - 241 = -5*a, 4*a - 187 = 5*s. Suppose a*l - 45*l = -21. Let i = 1031\/6 + -179. Is i at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 - 5*z**4)*(-27 - 7 - 39).\nAnswer: 365*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 25*c**2 - 122*c + 155. Determine p(-6).\nAnswer: 1787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.7 + 0.3. Let p = 4.7 + 0.3. Which is the nearest to -1\/5?  (a) -5  (b) n  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*2*(-6)\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166 = 3*g + 11*n, 32*g - 27*g + n = 34 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -40  (b) -1  (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 30\/(-36) - -1 - (-1 - (-141)\/(-18)). Let r = 4 + -2. Solve 4*p - 5*q + 11 = -r*q, 2*q - s = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10611 (base 7) to base 11\nAnswer: -2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137211, -1, 6 in increasing order.\nAnswer: -137211, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -451120.715 to the nearest 100.\nAnswer: -451100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 + 0.4. Which is greater: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1937884257?\nAnswer: 3, 23924497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 9:25 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssyhssysysssssss. What is prob of picking 1 s and 2 y?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - ((55 - (-22 - -49)) + (-2 - 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -2511400.\nAnswer: 1\/627850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -1150*x**2 - 275*x + 275. Let b(n) = -25*n**2 - 6*n + 6. Let g be (-150)\/270 + 245\/(-45). What is g*q(o) + 275*b(o)?\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1152 and 68224?\nAnswer: 614016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 1886*t + 3242*t + 1 - 498*t - 449*t - 420*t. Let w(x) = x**2. Calculate m(w(a)).\nAnswer: 3761*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) 6\/5  (b) -0.4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -197524332 divided by 711?\nAnswer: -277812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**19*w*w**(5\/2)*w)\/((w\/(w*w*w**(6\/19)*w*w*w))\/((w\/w**(-5))\/w*w)))**(-34) assuming w is positive.\nAnswer: w**(-21845\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + c = 0. Suppose 0 = 4*v - 8*g + 11*g + 93, 5*g - 133 = 4*v. Let j be (9\/v)\/(1\/(-48)). Solve -j = -3*t - p, 12 + c = 3*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/422265 and -101\/40.\nAnswer: 3378120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 9*r - 9. Let n be x(-7). Suppose n*l - 58 = 3*l. Let v = -31 + l. Sort 8, v, 2 in descending order.\nAnswer: 8, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 153\/5 - (-14)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2505*i - 9474. Give l(-4).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -17*k + 5. Let q(r) = 8*r - 2. Let j be -7*((-5)\/(-3) + 6\/(-9)). Determine j*q(w) - 3*m(w).\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, y: 1}. What is prob of sequence uuy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -99, -276, -483, -720, -987, -1284, -1611?\n\"Answer: -15*w**2 - 132*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-7) + (-48)\/(-147). Let t = 509\/6 - 85. Which is the third smallest value?  (a) t  (b) k  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34241 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p**2 - 60*p**2 - 6*p**2)*(p**2 + 3 - 3) - 3*p**4 - 4*p**4 + 4*p**4.\nAnswer: -75*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 11*t = -16*t, -19*c - 28*c - 9*c + 11*c - 4*t + 82 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.4 + 0.62. Let n = -0.23 - k. Round n to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 21853893, 21853900, 21853907, 21853914, 21853921, 21853928?\n\"Answer: 7*h + 21853886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 + 18 + -4 - -107280 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153197427?\nAnswer: 3, 37, 1380157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*d + 7*d + 3*n, d - 18 = 5*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -202*w. Let t(g) = -40*g. Determine j(t(i)).\nAnswer: 8080*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.5?  (a) -265  (b) -0.01  (c) 2\/3  (d) 0.2  (e) -2.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1683\/(-34))\/(45\/(-10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -2*n**3 - 15 + 0*n + 2*n**2 + 1\/24*n**4. Give k(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268 is divided by 138.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5737733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the second derivative of t**3\/3 + 11*t**2 - 392*t. Give d(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*p = -27*p - 304. Let l = p + -73. Calculate the greatest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 4:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2553217719.\nAnswer: 3, 13, 65467121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8679 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -v**5\/20 + v**4\/4 + 3*v**3\/2 - 15*v**2\/2 - 1. Let m(i) be the second derivative of y(i). Factor m(r).\nAnswer: -3*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 + -3) - 45\/(9 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -52814 and -119.\nAnswer: 6284866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 7*i**2 + 5. Calculate the remainder when m(-4) is divided by (-316)\/553*(-55 - -13).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.375 + 1.3. Let f = -0.09 - h. Round f to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33082, -132326, -297746, -529342, -827114, -1191062?\n\"Answer: -33088*n**2 + 20*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.6 + -3. Let z(n) = -8*n + 114. Let t be z(13). Suppose -20 - 30 = -t*q. Which is the third biggest value?  (a) 12  (b) q  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((6*(sqrt(294) + (sqrt(294)*-3 - sqrt(294))) + sqrt(294))\/sqrt(6))\/(sqrt(56)\/(sqrt(16)\/sqrt(2)) - sqrt(175)*-4))**2 + -3.\nAnswer: 100\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 9*p + 39. Let r(v) = -6*v - 40. Let q(c) = 3*k(c) + 4*r(c). What is the derivative of q(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 10*o**2 - 26*o - 26. Let b(y) = 2*y**2 - 5*y - 5. Give -16*b(i) + 3*s(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k - 15. Let r be z(9). Solve 4*p - r*b - 5 = -13, -5*b = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j + 10*j + 30 = 0. Suppose 948 - 2874 = j*h. Let s = h - -155. Round s to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1176341555.00000266 - 1176341565. Let y = u + 10. What is y rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 976851 plus 30?\nAnswer: 976881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278897 is divided by 30963.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*h + 266*h - 755*h - 608*h to the form n + g*h and give g.\nAnswer: -1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001101101011 - 1011100001?\nAnswer: 1000010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2967*l**3 - 1 - 60*l**3 + 162*l**2 - 162*l**2 + 163*l**3 to q*l**3 + c + o*l + x*l**2 and give q.\nAnswer: 3070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)\/sqrt(36) + sqrt(432)*-2)\/(1*(4*(sqrt(576) - -2*sqrt(576)) + sqrt(576))).\nAnswer: -11*sqrt(3)\/156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-143)\/(-26) + -12 - -7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 5*v - 6 + (-3 + 3 + 3*v)*(1 + 0 + 5) in the form m*v + h and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3544 + -1635. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100334520 divided by 780\nAnswer: 128634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 260803 > 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 2 + (-5 - -4) + 4 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -646308414866 + 0.1.\nAnswer: -646308414865.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14100 and 122700?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18151893559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 495843?\nAnswer: 3, 19, 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 + 6*l**2 + 3*l - 6. Calculate the remainder when -2*10\/3*(-197421)\/5372 is divided by z(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -163 - -282. Let y be (3 + -5)\/(-2) + o. Suppose 3*c + 4 = 49. Calculate the greatest common divisor of y and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1520412)\/39321)\/(1\/3)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23711*k - 5 + 0 + 3 + 26565*k - 13768*k.\nAnswer: 36508*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-53)\/(0 - (-17 - 0)) + 3. What is the smallest value in 1, -1, 2, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 1343 = -2*a + 2786, 5*a = 10. Calculate the highest common factor of j and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 30, -20 in descending order.\nAnswer: 30, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 2)*(m + 0*m + m) + (0 + 3 - 4 + (3 - 3 - 1)*(0 - 2 + 4) + 2 - 6 + 3 + 50 - 13 + 46)*(-4*m + 2*m + 3*m) to k*m + a and give k.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 136, -3, -2, -4 in ascending order.\nAnswer: -4, -3, -2, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 4508 divide 2180695412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -35, 5.288 in increasing order.\nAnswer: -35, 0.5, 5.288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 2*f**2 + 1. Let t = -1 - 0. Let r be d(t). Suppose -r*b - 30 = -8*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2*a - 2*a = 0, 2*r + 4*a = 8. Let b(o) be the first derivative of -2\/3*o + 2\/3*o**r - 2\/9*o**3 - 3. Determine d so that b(d) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/2 - 19*w**2\/2 - 37*w - 28.\nAnswer: -(w + 1)*(w + 4)*(w + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 2:11 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*x**3 - 499 - 10*x**3 - 9*x**3 + 310*x - 17*x**3 + 41*x**3 with respect to x.\nAnswer: -9*x**2 + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6\/11 or 777.72?\nAnswer: 777.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2 - 1. Let c be 3 + 30\/(-27) - (-2)\/18. Suppose 5*n = -3*w - f, 2*n - c = -2*w - 0. Solve -w*m - 4 = 4*a + 2, 2*a - m = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a centimeter in millimeters?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + 9*c**2 + 14*c + 128. Let d be a(-9). Solve 2*b + d*x - 2 = 0, -11 = -2*b - 5*x + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10.4 + 10.91. What is c rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44827 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -60 and 1555788647.\nAnswer: 1555788587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 81, 382, 885, 1578, 2449?\n\"Answer: -2*a**3 + 113*a**2 - 24*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26009?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -5*h + 17, -p + 35 = 37. Sort -89, 1, 5, 4, h in ascending order.\nAnswer: -89, 1, h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -6 + (-66)\/(-36)*3. Which is bigger: r or -79?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22664.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/262599 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 18*r - 102. What is the highest common divisor of 309 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 955 and 2268295?\nAnswer: 433244345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208115*k**2 + 1082450*k**2 + 1242062*k**2.\nAnswer: 2532627*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223802?\nAnswer: 2, 317, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 940 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -230 + 211. Let w(a) = 2*a + 38. Let p be w(b). Solve p = y + 1 + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2101102202 (base 3) to base 13\nAnswer: 184c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -8*r + 159, 0 = 3*r + 4*g - 2359 + 2242 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2*s - 92 = 0, p = 3*p + 3*s - 28. Solve 2*n + 25 = k + 4*k, -4*n = p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -19*h + 18*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 986 is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -119, -327, -621, -1001, -1467, -2019, -2657?\n\"Answer: -43*u**2 - 79*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 4*r + 0 = -2, -3*o = -3*r - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.6037kg in micrograms?\nAnswer: 56603700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 743676241.8 to the nearest one million.\nAnswer: 744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110010010200000 (base 3) to base 4.\nAnswer: 120210001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -313410, -355, 5 in decreasing order.\nAnswer: 5, -355, -313410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*h**3 + 9780*h**2 - 13053*h + 3264.\nAnswer: 3*(h - 1)*(h + 1088)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -2*t**3 - 4*t**2 - 4*t - 3. Let j be i(-2). Suppose -2*u = j*g - 7, -2*g - 3*u - 10 = u. Solve v + 7 = -g*c, -v = -0*c - 2*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 516a28?\nAnswer: -516a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -238 - -105. Let n = 535\/4 + f. Let t = -1 + 1. Sort 5, t, n in decreasing order.\nAnswer: 5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 - b**2 - 21. Let t(r) = -1001*r + 2002. Let n be t(2). What is a(n)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(300) - (sqrt(300) - (-3 + sqrt(300)))**2*5.\nAnswer: -45 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 14*l - l**2 - 14*l. Let a(k) be the second derivative of 0 + 23\/6*k**3 + 14*k + 0*k**2. Give y(a(z)).\nAnswer: -529*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -400 by -5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 228 = 7*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 3*r + 4*u - 20, -5*r = -2*u - 2. What is the lowest common multiple of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.0677322 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 7*a**2 + 8*a - 8. Let f = 13 + -7. Let q be c(f). Is (q\/6)\/((-2)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(320) + 5 - sqrt(320).\nAnswer: -24*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lttlvmtlllltlm. Give prob of picking 1 l, 1 m, and 1 t.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0208 rounded to three dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 10:14 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -a?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-340)\/595)\/(416\/(-204) - -2)*(-49)\/7.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-6*(-2*sqrt(88) - sqrt(88)) - sqrt(88)))\/(-4*(2*sqrt(64))\/sqrt(8)).\nAnswer: -17*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*c - 12 = 0. Let r be (c\/3)\/((-2)\/(-60)). Calculate the greatest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 2 - 2 - -7 - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1133*l**2 - 7*l + 9113 wrt l?\nAnswer: -2266*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1976 - 6820. Let p = 3154 + m. Round p to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(14)\/(sqrt(35)\/sqrt(5)) - sqrt(4)\/(sqrt(10)\/sqrt(5)*-2)) + 4.\nAnswer: -3*sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 3:10 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 15) to base 6\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1, -44, -159, -382, -749?\n\"Answer: -6*m**3 - m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 58) + 33 - -33?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171*a**3 - 158*a**3 + 323*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/14 - (-17 + (-2678)\/(-91)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3371*x**2 - 1204*x**2 - 7271*x**2 - 2246*x**2 + 2014*x**2)*(-4*x + x + x) to z*x**3 + i + c*x + w*x**2 and give z.\nAnswer: 24156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*v + 9. What is the highest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 8*i**2 + 4. Let j be n(8). Suppose -j = 3*t - 5*t. Let d = 3 - t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 1530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1153359 divided by 23?\nAnswer: 1153359\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, j: 8, e: 4}. What is prob of picking 2 j?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 20\/62*6981\/(-23270)\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-4 + (sqrt(208) - sqrt(208)*-1))**2 + 1.\nAnswer: -64*sqrt(13) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(75) + -2*sqrt(75) + -4)*5 + (sqrt(24)*-1*1)\/(-3*2*sqrt(8)).\nAnswer: -149*sqrt(3)\/6 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 31224 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -451 = -11*i + 10*i. Suppose -5*x = -i + 41. Factor 0*t**5 + 24*t**2 - x*t - 4*t**5 + 20*t**4 - 36*t**3 + 74*t + 4*t**2.\nAnswer: -4*t*(t - 2)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 PM and 7:28 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 2639\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1288 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*a**5 + 4196*a**4\/3 - 10630*a**3\/3 - 68*a**2 = 0 for a.\nAnswer: -2\/105, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gttcgczzaaczttaatgc. What is prob of sequence accc?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45.1323 + -20104.2323. Round v to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooouuooooooo. Give prob of sequence uou.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 11\/2  (b) 0.62  (c) -7\/13  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 3\/7, -0.2, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 21?  (a) 1\/4  (b) -3  (c) 13458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgqqglql. What is prob of sequence ggq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 - 2*d + 14. Let r(g) = -4*g. Let s(w) = b(w) - 4*r(w). Give s(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4232556.81 + -3.55921?\nAnswer: 4232553.25079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3788354709.\nAnswer: 3, 29, 14514769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = 2*x. Let q be (-2 + (-9)\/(-6))*x. Is q*1\/(-4) + 149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/140805 and 83\/861.\nAnswer: 5773005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 765\/19366 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 0*b. Suppose 109*g - 108*g + 79 = b. What is the common denominator of 3\/((-18)\/g) + 1 and -13\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*y - 12*y + 10. Solve -3*h - y = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2*m = -34, 0*m - 30 = -5*y - 2*m. Let i = 12 - y. Let g be 2\/(-7) + (-80)\/(-182). Which is the closest to -1\/3?  (a) g  (b) -3  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.598 - 0.402. Let p(r) = -2*r + 2. Let s be 25\/9 + (-4)\/(-18). Let h be p(s). What is the nearest to -2\/3 in 1\/4, h, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -37022100 divided by -3?\nAnswer: 12340700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 6:22 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35 and 2620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h + 5*h - 15. Let s be h\/(10\/8) + -1. Suppose 2 + 13 = s*t. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 19*p**2 - 88*p + 1. Let o be m(8). Let l be 2 + (6 + o - -2). Which is the smallest value?  (a) 2\/3  (b) -2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*2*sqrt(110))\/sqrt(2))\/(4*sqrt(11)*2*-4).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 4*n + 19. Suppose 3*f - 4*f - 5*a = 10, f - 8 = 4*a. Let h be i(f). Solve 2*s = 5*p + 18, 2*p + h = -5*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 4*i**3\/21 + 190*i**2 - 394222*i\/21 - 132736\/7 = 0?\nAnswer: -1088, -1, 183\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -114114433 (base 5) in base 4?\nAnswer: -2002301002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 74337 + 4?\nAnswer: 74343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -3. Let r = -9 - -7. Let j be 13\/(-42) - (-36)\/216. What is the closest to r in j, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4282879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6712993 to the power of 1\/2, to the nearest integer?\nAnswer: 2591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -244 + 10123?\nAnswer: 4324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.6 - -2.3. Let w = r + 0.2999993. Round w to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*q**2 + 0*q**2 - 5*q**2)*(1 + 2*q - 1) - 290*q - 644*q**3 + 589*q - 299*q to g*q**3 + i + k*q**2 + w*q and give g.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001 + -1?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, 0, 3, -58 in decreasing order.\nAnswer: 65, 3, 0, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/40 and 13\/25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 116511.7 to the nearest 100.\nAnswer: 116500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 2:00 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 62 + -46. Solve -4*k - 5*v + n = 0, 0 = -0*k + 3*k - 2*v + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4) - 27\/(-30)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbdxddubxbbbbbbxdbdb. What is prob of picking 1 u and 2 x?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3186557006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 5*u - 20, -2*u = 2*i + 2*u - 16. Let o(v) = v**3 + 7*v**2 + 29*v + 143. Let t be o(-6). Which is bigger: i or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of o**5\/10 + o**4\/12 - o**3\/6 + 8*o**2 + 5*o. Let v be r(0). Is v\/20 + (-6782)\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8235 and 111081?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4\/9, -1\/2, 7, 4\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1120.9 - 1127.687. Let d = j + -0.013. Let k = d + 7. Which is the biggest value?  (a) k  (b) 0  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -100\/147 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 9*w - 16. Let h(m) = m**3 + 1 - 1 + 7*m**2 + w. Calculate h(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rddxrrrxrrrxddxrd. Give prob of sequence dr.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5625 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 560 = -2*v. Suppose 3*j - v = -j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -66.562 + 31.67. Let k = n - 1.468. Let h = k + 35. Round h to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -3*k - 15. Calculate the remainder when 63 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1616)\/32 - -50)\/(1\/(0 - -1)). Let z = -1.2 + 6.2. What is the second biggest value in z, 1.5, m?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 857798444 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 8. Let d = -208 + 214. Suppose 0 = -2*m + u + 6, 2*m + 0*m + d = 4*u. What is the lowest common multiple of w(6) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 25740?\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - n - 2*n + 12, 3*n + 2 = -4*h. Let m be ((-4)\/45)\/h*10. Factor 2\/9 + 2\/9*u**2 + m*u.\nAnswer: 2*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 8*y**2 + 6*y + 2. Suppose 17*t = 22*t + 35. Is p(t) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 42*c - 17. What is i(-3)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/2*j**2 + 3\/10*j**3 - 2\/5*j**5 + 1\/10*j + 1\/2*j**4 + 0 = 0 for j.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -225129\/350 - -1287\/2. Find the common denominator of o and -99\/280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -135 < -59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*k - 87 = -34*k. What is the remainder when k is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 - 1.4. Let s = b + 1.5. Let p = 1 - s. Is 0 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49687, 49684, 49681, 49678, 49675, 49672?\nAnswer: 49669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1271 is divided by 60.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158682?\nAnswer: 2, 3, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-36 - 18) + 55)*(1 - -8))\/((-33)\/(-1))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 140, 143, 146, 149, 152?\n\"Answer: 3*t + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -19, -2, -9, -114, -5 in decreasing order.\nAnswer: -1, -2, -5, -9, -19, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g - g + 4*g + (18*g + 14*g - 12*g)*(30 - 16 + 28).\nAnswer: 841*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 366877, 366861, 366845, 366829?\nAnswer: 366813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(99) + (sqrt(99) - (sqrt(99)*1 + sqrt(99))) + sqrt(99))*2 + sqrt(99))\/(-4*sqrt(36)\/sqrt(4)) + ((-1 + 1*sqrt(1584))*3)**2)*-2.\nAnswer: -28530 + 867*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, i: 2}. What is prob of sequence qqqq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2823 + 635 + c - 1069.\nAnswer: c - 3257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 36973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*q**2 + 2*q**2 + q**2 - 3*q**2 + q**2 + q**2 + q**2 - 4*q**2 + 5*q**2 + (1 - 1 - 2*q)*(4*q + q - 3*q))*(2 - 3*q**3 - 2).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100359 and 414078.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 4*b + 1 = -n, -2*n = -5*b - 1. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1305*d**2 - 673390*d - 5160.\nAnswer: -5*(d + 516)*(261*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((sqrt(25)\/sqrt(5) - sqrt(5)) + -5) + -1)**2 + ((sqrt(450) + (sqrt(450)*2 - sqrt(450)))\/(sqrt(640)*1))**2)*-4.\nAnswer: -1981\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(432) + -2 + (sqrt(432)*-4 - sqrt(432)) + sqrt(432) - 2*(-2*sqrt(432) + sqrt(432))) + 5)*-2)**2.\nAnswer: -10368*sqrt(3) + 63504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5130776 is divided by 76.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23076.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-1560774)\/(-10070) - 155)*15\/(-18)\nAnswer: 1\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -435, 2, -544, -1.\nAnswer: -544, -435, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p + 2. Let i(a) = -3*a + 2. Suppose 5*j + 27 - 7 = 0. What is j*i(k) + 5*g(k)?\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 400 and 1760.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 101*n + 59040 = -99*n, n - 147628 = -5*s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2312 times 4?\nAnswer: 9248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v + 9*v + 6 - 4*v)*(-2*v + v - v).\nAnswer: -2*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3215 (base 7) to base 15.\nAnswer: -50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3 + (0 + 1 + 0)*(-3 + 1 + 3) + 6 - 4 - 1 + 7 - 21 + 26 + 36)*(31*r**2 - 8*r**2 + 38*r**2).\nAnswer: 2928*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 9 = -5*y, 4*y + 26 = 3*q + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 793895 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 224*h**2 - 677*h**2 - 24 + 223*h**2 + 232*h**2.\nAnswer: 2*h**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**2 - 2*y**4 - y**2 + (-2*y**2 + 0*y**2 + 0*y**2)*(y**2 - 5*y**2 + 2*y**2) - 101*y**4 + 62*y**4 - 100*y**4 + 3*y - 3*y + 3*y**4.\nAnswer: -134*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the first derivative of 3*s**2\/2 + s - 1. Suppose -11*b - 17 - 5 = 0. What is y(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 2 - 1 + 179*o - 213*o.\nAnswer: -34*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -84*d**2 - 10*d + 97. Determine j(-6).\nAnswer: -2867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pyp when three letters picked without replacement from {v: 1, h: 1, x: 1, y: 1, z: 2, p: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 19) + -11 + 14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyy when three letters picked without replacement from {k: 3, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*n + 345 + 34 + 1589 = 69*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 35268, 140260, 315244, 560214, 875164, 1260088?\n\"Answer: -w**3 + 35002*w**2 - 7*w + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.00630169*-5.\nAnswer: 0.03150845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 133*a**3 + 9 with respect to a.\nAnswer: 399*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**2\/2 - 20655463*n - 426648151744369\/2 = 0. Calculate n.\nAnswer: -20655463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (6\/15)\/((-96)\/(-720))*4\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1534b2 (base 14) in base 16?\nAnswer: b4704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 + 39*m - 808. What is the lowest common multiple of q(19) and 147?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 13) to base 11.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -f**4\/4 - f**3 + 2*f**2 - 7*f. Let u(b) = -b**2 - b. Let l(n) = o(n) - 6*u(n). Differentiate l(w) with respect to w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -324*j - 638. Determine t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -10*f - 5. Let l(o) = 15*o + 7. Suppose 13*h = 11*h - 14. Let s(r) = h*j(r) - 5*l(r). Let x(a) = 4*a**2 - 5*a**2 + 0*a**2. Give s(x(i)).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 5*q - 13, 4*m - 2*m - 38 = -2*q. Let f be (15*(-4)\/m)\/((-4)\/210). What is the greatest common factor of f and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352526831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 628, -11, -5, 0, -18, -2 in descending order.\nAnswer: 628, 0, -2, -5, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 9, -2, -5, 4 in decreasing order.\nAnswer: 9, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 14 = -1. Suppose -2*c + u = 2*c - 45, -4*u + 30 = g*c. Calculate the remainder when c is divided by (-8)\/6*(-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 16, -1\/50 in increasing order.\nAnswer: -0.1, -1\/50, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -2, -27, -3, 22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 4728, 0.17, 5 in ascending order.\nAnswer: 0.17, 5, 14, 4728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 - -389. Calculate the greatest common factor of 26 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*s**2 - 3413 + s**2 - 2*s**3 + 3413 - 32*s**2.\nAnswer: -2*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44112908.\nAnswer: 2, 7, 19, 283, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6920*p - 1103*p + 189420 = -3879*p + 225*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 8670250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 13. Let r = 14 + y. Calculate the remainder when 16 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**4\/24 - 17*j**3\/6 + 7*j**2. Let r be w(-10). Sort 5, r, 2.\nAnswer: r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 812 is divided by 176?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m + 7. Let y be l(-7). Let w(c) = 5*c**3 + 7*c**2 - 2*c - 5. Let o(d) = -d**3 + 4*d**2 - 2 - d**2 + 3*d**3 - d + 0. Determine y*o(f) + 3*w(f).\nAnswer: f**3 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 24040446491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 8275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 8*c**2 + 100*c - 80. Let p(l) = l**2 + 11*l - 9. Let h(x) = -28*p(x) + 3*q(x). Suppose h(u) = 0. What is u?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 2*h - 15 = -3*u, 0 = u - 5*h + 11. Which is the smallest value?  (a) u  (b) 0.5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -286, -330, -374, -418, -462?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 7:18 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4491 and 31698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emmmemebbmeembb. What is prob of sequence mm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -41 + 41.04. Sort 0.4, u, -0.1, -4 in decreasing order.\nAnswer: 0.4, u, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7067960, 14135922, 21203884, 28271846, 35339808?\nAnswer: 42407770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -3*v**2. Suppose -5*r + 2 = -4*q, q - 5 = -3*r + 3. Let k(g) be the second derivative of 0 + 0*g**2 + 0*g**3 - r*g - 1\/12*g**4. What is k(z(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12562243 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1397765065?\nAnswer: 5, 937, 298349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**6\/r*r*r*(r**(-4\/9)*r)\/r)**(-15) assuming r is positive.\nAnswer: r**(-295\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 836, 1675, 2516, 3359, 4204?\nAnswer: 5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 3 - 7 + 2 + 3 + (-6 + 3 + 5)*(-3 - 1 + 6))*(-5 + 5 + 3*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 42\/12*5\/35\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 10\/3, -2\/5, 4, -1\/2, -0.045, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1904\/9773 + 577948697\/215006. Let z = -2689 + x. Calculate the common denominator of (-3)\/(-36)*(-86)\/3 and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3888929041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 8 + 1 + (11 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10, -1\/2, 2\/9, -65, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 23993, 47973, 71969, 95981, 120009, 144053, 168113?\n\"Answer: 8*j**2 + 23956*j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 601301216?\nAnswer: 2, 18790663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2  (b) 9.3  (c) 24\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2\/(-4) + (-70)\/(-4) 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 6011845*a**2 + 80305847.\nAnswer: 12023690*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20110012111 (base 3) in base 7?\nAnswer: -1036150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 55*k - 2630. Let w be b(48). Solve 11*q - 21*q - w = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -570*a = -545*a + 350 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*m = -2*z - 490, 4*m + 10*z + 47 = 31*z - 16*z - 11 - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*i + 160 = 215*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 713 is divided by 122?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 665039096 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 123*z - 26204. Determine b(213).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 9. Let t = 0.4 + -1.2. Let q = 0.2 - t. Which is the nearest to q?  (a) 0.1  (b) -1\/2  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3*(-3)\/(-3))\/(12\/(-4)). Which is bigger: l or 4\/59?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-4\/9)*i*i)\/(i\/i**(-18)))**11)**(-1\/29) assuming i is positive.\nAnswer: i**(1727\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 2*t - 2*j, -3*t = -t + 2*j + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/((-1)\/3*-3). Let n(i) = 28637*i + 74*i**2 - 1 - 28639*i + 48*i**2. What is the units digit of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -39\/4  (b) -1  (c) -1946  (d) 0.07  (e) 4  (f) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(11) + -1 - -1*sqrt(11)*-1)*6)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/24196 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/448 and -41\/288.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 4:11 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11012 + -1?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -77 - -128. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*z**2\/5 - 2235726*z - 33535908\/5 = 0. What is z?\nAnswer: -3, 5589318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*w**5 + 2*w**3 - 147772*w**2 - 3190669*w + 4?\nAnswer: -60*w**3 + 12*w - 295544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 6*p + 9. Let k be w(-5). What is the remainder when 21 is divided by (8 - 7)\/(2\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.3  (b) 3  (c) -0.1  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 3*z = -4*z + 8, 2*z = 6. What is the tens digit of (-12)\/s*10\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -982 - 1863 = -746*f + 6107 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 881149?\nAnswer: 853, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -3*q - 5. Let m(t) = 2*t**2 + 30*t. Give l(m(n)).\nAnswer: -6*n**2 - 90*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2 - 39 - 26*i - 30*i + 2*i**2 + 14*i**3 + 15.\nAnswer: 2*(i - 2)*(i + 2)*(7*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.05, 2, 1.2 in ascending order.\nAnswer: 0.05, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 20249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 1 + -1 + 3. Let t(q) = a*q + q + q**3 - q. Suppose -6*m + 8 = -10*m. What is t(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 0*s + 13 = 4*c - 4*s, 0*s = 6*c - 2*s + 3*s - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j**3 + j**2 - 2*j + 1. Let d be (-2)\/(-1) + (11 - 8). Let t(a) = a**2 + 16*a - 75. What is the lowest common multiple of t(d) and z(-2)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10  (b) 9  (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -8*y**2 + 408*y + 72. Calculate n(51).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 - 5.6. Let f = -17 + -6. Let q = f - -19. Sort q, i, 0.1 in decreasing order.\nAnswer: 0.1, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2. Let g(j) be the third derivative of 0*j + 0 + 0*j**3 - 1\/6*j**4 - 5*j**2. Determine g(q(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62 divided by -52.\nAnswer: 31\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of -1\/20*q**5 + 0*q**4 + 0 + 0*q + 0*q**3 - 155*q**2. Let n(x) = 80*x. Determine n(h(w)).\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -67.9 in -3, 1, 0.014, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((7*10\/(-160))\/((-140)\/3360))\/((-1)\/6).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.007*5\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*((-8)\/12)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 41 + 22*j**2 - 41 to k + m*j**2 + w*j and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4106*t + 4103*t - 67 = 5*z, -47 = z + 3*t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 99369 divided by 61\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1761866 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1323, -5282, -11893, -21168, -33119?\nAnswer: -47758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25*b - 15 + 568*b**2 + 12 - 47*b**2 + 5 wrt b.\nAnswer: 1042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 109219809 to the nearest integer?\nAnswer: 10451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6729286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 106 - 96 = -217. Let s = 2.8 - -2.1. Let i = -0.1 - s. Which is the nearest to 0.1?  (a) 0.3  (b) i  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of o**9\/1512 + o**6\/90 + o**3 + 2. Let i(n) be the third derivative of p(n). What is the third derivative of i(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4592\/33 - -9481\/66. Let y = 5 + 10. Factor 9\/2*h**2 + i - y*h.\nAnswer: 3*(h - 3)*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**4\/4 - 77*f**3\/4 - 2086*f**2 + 4247*f.\nAnswer: f*(f - 137)*(f - 2)*(f + 62)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 597101247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -3\/103  (c) -11.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 - 11*o**2 - 9*o + 5. What are the prime factors of r(12)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 408 and 0.19.\nAnswer: 77.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**3\/7 - 22*m**2\/7 - 20*m\/7.\nAnswer: -2*m*(m + 1)*(m + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 3*d - 5*d. Suppose -78 = -5*a + h + 64, 3*a + 5*h - 102 = d. Suppose 85 + a = 2*b. What are the prime factors of b?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1\/12  (b) -6.6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 96499631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**7\/o)**(2\/103))**(-3\/23) assuming o is positive.\nAnswer: o**(-36\/2369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - a**2 + 0*a + 0*a.\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 207 = -39. Let t = 255 + -182. What is the tens digit of 14\/y + t\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 198 divided by -3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) + (sqrt(136) + (sqrt(136) - (4*sqrt(136) - sqrt(136))))*2))\/((sqrt(96) + (sqrt(96) - (sqrt(96) + sqrt(96)*3)))\/sqrt(12)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttwwt. What is prob of picking 2 w and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 - -42. Let g be (-10)\/65 + (-131)\/o + 2. What is the third biggest value in g, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6dcc (base 14) in base 10?\nAnswer: -19192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*b + 2 + 23*b - 2.\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (95 - 161) + (-2 - -4) + 5 + 4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 + 16*n + 32. Let i be u(17). Let o be 15\/(-5) + -2 + i. Solve q = 4*b - 1 - 8, 5*b + 3*q = -o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w + 13. Let h be -12 + (1 - -2) + -1. Let n be s(h). Let o(l) = 5*l + 2. What are the prime factors of o(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fqq when three letters picked without replacement from fffqqqqfqqfq?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 400614786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 131515 (base 6) to base 2\nAnswer: 10111100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -11*o - 14. What is the units digit of j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 435 divide 1650390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 22, 272, 954, 2284, 4478, 7752, 12322?\n\"Answer: 36*p**3 - 2*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -m - 2*m - 16, -m + 12 = -4*d. Let n = -3 - m. Is 13*4*n\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least as big as -2.5801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 28. Let x be z(31). Suppose -6 = 2*l, 5*g + 4*l = -l. Find the second derivative of 82*k - 75*k - x - 11*k**3 + g wrt k.\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 80.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from itrrrwjtrtt. Give prob of picking 2 t and 1 r.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6878460329?\nAnswer: 13, 67, 821, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/(-112)*89\/(-5) and 3\/26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - -7)\/((-2)\/(-4)*-2). Put o, 3, 6, 2 in descending order.\nAnswer: 6, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000391573 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-2\/3)*i**(-3\/5)*(i\/i**(-9)*i*i)\/i*(i**(-1\/4)*i)\/i)**(-1) assuming i is positive.\nAnswer: i**(-709\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/7, 24\/103, -404?\nAnswer: 24\/103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1169854641 - 75*a - 1169854641.\nAnswer: -75*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 2553269962075?\nAnswer: 2553269962075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -15*a**4 - 1120*a**3 - 2880*a**2 = 0.\nAnswer: -72, -8\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 + 165. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/2 + 479*z**3\/2 + 57597*z**2\/2 + 56165*z\/2 - 57121.\nAnswer: (z - 1)*(z + 2)*(z + 239)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 + 3*v**2 + 2*v**2)*(3*v**3 - 6*v**3 + 15*v**3 + (-11 + 11 + 13*v)*(-4*v**2 + 5*v**2 - 3*v**2)).\nAnswer: -14*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 444 + 3?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 9:48 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1364970.9 and -26.995.\nAnswer: 1364943.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17120950 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of 2*h**5\/15 - 9*h**4\/8 - 26*h**2. Find the second derivative of f(d) wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2693035351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s**3 + 0*s**3 + 2*s**3)*(28018 - 17061 - 15340) as b*s + u*s**2 + x + v*s**3 and give v.\nAnswer: -8766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10227, -20456, -30685, -40914, -51143, -61372?\nAnswer: -71601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 983 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + (3 - 0) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*x = -2248 - 937 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 9\/178 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 230042 (base 6) in base 9?\nAnswer: 28628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**5*z - 2*r**4*y - 81*r**4*z - 2*r**2*y*z + 365*r + 2*y*z wrt r.\nAnswer: 60*r**2*z - 48*r*y - 1944*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.13183 times 0.5?\nAnswer: -8.065915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/12*-36*(-156)\/(-676)*(-39)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1111430410 (base 5) to base 10\nAnswer: -2451980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*f + 40 = 0, 0*w + 2*w - 32 = -4*f. Let i be w\/1 - (-5 - -8). Let t = -1 + i. Solve t*q = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 868151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3279029719?\nAnswer: 7, 991, 472687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -295 (base 10) in base 6?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5855.5 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6555\/16 + 410. What is the common denominator of 19411\/(-4720) + -1 + (-8)\/(-10) and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a + 1. Calculate k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 62*m**2 + 2. Let z(n) = 4*n**2. Calculate z(j(t)).\nAnswer: 15376*t**4 + 992*t**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51 + 0 + 9 + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3589018 is divided by 1984?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-7\/6)*y*y*((y*y**24)\/y)\/y*y)\/(y**(-3\/4)*y\/(y*y*y*y**9)) assuming y is positive.\nAnswer: y**(463\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 + 11984\nAnswer: 11983.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -1008*x**3 - 6*x**2 - 29*x - 33. Is y(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71 + 71.3. What is the nearest to 2 in -5\/6, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (304\/12)\/(-4)*(5 - 102\/24) and 95\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2174 = 34*p + 644 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*l - 35*l - 32*l**2 - 1 in the form k*l + b + p*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the second derivative of -u**5\/5 - 5*u**4\/6 - 4*u**3\/3 + 19*u**2 - 69*u. What is the units digit of y(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108 divided by -1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*o - 211, 0*k + 4*o + 164 = -4*k. Let l = 77 + k. Suppose -3*n + l = f - 0*f, -n - 2*f + 16 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48, -166, 2, -72, 9 in increasing order.\nAnswer: -166, -72, -48, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 127*c - 13 = -122*c, -v = -2*c - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*l**2 - 36*l**2 + 15*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(7\/4)*n**(-2\/3))**(-2\/25)*((n**(1\/2))**(-46))**28 assuming n is positive.\nAnswer: n**(-96613\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*l**3*o**4 - 8*l**3*o + 8*l*o**5 + 4*l*o**2 wrt o?\nAnswer: 288*l**3*o + 480*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 1222?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 + 0.5. Let g = m - 5.2. Let w be 2\/7*7\/3. What is the closest to w in 5, g, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 1706\/1081 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 45*r - 21.\nAnswer: -45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ylyi when four letters picked without replacement from yeiillbebyilby.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1328\/(-8) - 3\/1. Let d = o + 389. Let y = 9241\/42 - d. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 65 in descending order.\nAnswer: 65, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 - 9*v - 4. Let n(x) = x - 1. Let k(l) = 3*n(l) + r(l). Calculate k(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.556*-1399.\nAnswer: 3575.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19494 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 85185448 to the power of 1\/2, to the nearest integer?\nAnswer: 9230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 + (-35)\/(-1 + 8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 40, 36, 40, 58, 96, 160?\n\"Answer: x**3 - 2*x**2 - 5*x + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-2\/11))\/a**(4\/5))\/(a**(-1))**27 assuming a is positive.\nAnswer: a**(1506\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-62 + (-56626)\/(-920))\/(2 - (-14)\/(-10)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 = -14*c - 222 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 171896286 to the power of 1\/2, to the nearest integer?\nAnswer: 13111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1558, -1561, -1564, -1567, -1570, -1573?\n\"Answer: -3*y - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 217110 divided by 72370\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + -2. Let p = 0 - d. Let u = -15 - -21. Solve 3*j + 9 + u = p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**2 - d + d)*(d + 2*d - d) + 2*d**2 - 2*d**2 - 2*d**3 + (-1 + 2*d**2 + 1)*(33*d + 7 - 7).\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3)\/((-9)\/(-3)))\/((-14)\/380338) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 37 - 57 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -450*p - 208*p - 526*p.\nAnswer: -1184*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 12, 0, -38, 2, -10 in decreasing order.\nAnswer: 12, 2, 0, -1, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**3 - 4*y**2 - 7*y - 9. Does 15 divide j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6*1\/(2\/(-11)). Suppose u = 2*n + 6*u - 355, 5*n - 820 = u. Calculate the highest common divisor of n and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 254*j - 131. Is t(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 1  (b) 111  (c) 0.2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -11*j. Let t(f) = f - 1. Determine -2*t(i) - w(i).\nAnswer: 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 20*s**2 + 37*s + 7. Let j be f(-4). Let y = j - 176. Solve 0 = -y*a + 5 - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) 2  (c) 0.371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f + 11. Let j = -95252 + 142627. Let s(u) = -j - 5*u + 47375. What is s(t(z))?\nAnswer: -5*z - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 553*u + 1143*u + 127200 = 0 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 10) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 4) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 - 28. Let d = 1 - i. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 51\/(-9) + 4\/6. Let j(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + 3*f**2\/2 - f - 2. Calculate the remainder when 17 is divided by j(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 127*i - 130*i + 5907. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3957 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -b - 27, 3*u + 3*b + 30 = -b. Let o = 10 + u. Suppose -o*t = -4*m - 24, -2*m + 16 = -t + 6*t. Solve 0*f + t*r = -f + 5, -f = -r + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4805231 (base 9) to base 14.\nAnswer: 4ba367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 168347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 50017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from qkzflul.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 470764179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11903448 or 11903449?\nAnswer: 11903448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 46 + 196934?\nAnswer: 196980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the first derivative of -6*s**5\/5 - s**2 + 20. What is the second derivative of m(k) wrt k?\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1030)\/(-169435))\/((-8)\/7 + 1)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, v: 1, b: 1, a: 2}. What is prob of sequence vba?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 1 + 1, 0 = -a - t + 2. Suppose -v - 2*l - 7 = -3, -36 = -5*v + a*l. Calculate the remainder when 30 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 135*t**2 + t - 923 wrt t?\nAnswer: 270*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -4*z**5 + 22436*z**4\/3 + 713948*z**3\/3 + 1573564*z**2\/3 + 882064*z\/3 = 0.\nAnswer: -29, -4\/3, -1, 0, 1901","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20211 - -10?\nAnswer: 20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66283*r**3 - 36320*r**2 wrt r.\nAnswer: 397698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2078*g**4*z + 2*g**4 + g**2*z + 5*g**2 - g*z - 2*g wrt g.\nAnswer: -49872*g*z + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 3*t - 27 = -t, 0 = t. Which is greater: 11 or i?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*i + 4*i - 5*l + 30, -5*l + 75 = 5*i. Let m(u) be the first derivative of -u**2 + 33*u - 13. What is the units digit of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287107 is divided by 1403?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 2*d - d - 8 - 3. Let c(f) be the second derivative of -f**6\/360 - f**4\/3 - 5*f**2\/2 + 80*f. Let r(t) be the third derivative of c(t). Give x(r(a)).\nAnswer: -2*a - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/257 or 0.06?\nAnswer: -4\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 80*p + 2. Let z be m(3). Let d be 44\/(-154) - (1 + z\/(-14)). What is the tens digit of 161\/4 + 12\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -291149775 to the nearest 100000.\nAnswer: -291100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 18 = 5*q, -5*q - 4*o + 24 = -0*o. Sort 0, -4, q, 12 in descending order.\nAnswer: 12, q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/(-1))\/(-1))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5266633 and 9192.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -h + 8, 3*h + 473 - 512 = n for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffee when four letters picked without replacement from {f: 4, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.037 + -13253.9\nAnswer: -13253.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mdmdykmmmkykmmmdy. What is prob of sequence dm?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dqd when three letters picked without replacement from {z: 1, l: 1, f: 2, d: 2, q: 1, p: 8}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 67\/4 of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13471197, -26942395, -40413593, -53884791?\nAnswer: -67355989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m = -0*m + 600. Let f be m\/(-5) + (-5)\/(-5). Let d = 4 - f. What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 245*m + 2896. Calculate h(-13).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 264632506?\nAnswer: 2, 17, 7783309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, 0, -5 in descending order.\nAnswer: 0, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + j)*(8*j - 3*j + 2 - 3*j + (94261 - 679*j - 94261)*(-1 - 1 + 3)) in the form p*j**2 + v*j + y and give p.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hxtxtxxxxhxxhxhx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000996 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*b + 60 + 84. Suppose -4*z = -5*x + 11 + 4, -4*x + b = 0. Suppose z = m - 32 + 8. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*d + 7 - 2 - 17 + 8 + 6.\nAnswer: 117*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3362828499.00000133 - -3362828180. Let k = 319 + w. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9593689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 164 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43674 and 66642.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -0.3, -1, 46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-32))\/(129\/(-1204))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -1\/2*g**4 - 2*g + 2\/3*g**3 + g**2 + 10. Factor c(q).\nAnswer: -2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31715 divided by -6343?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 0. Let q = 2 + m. Let a = -25 - -30. What is the third smallest value in a, q, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrfff. Give prob of sequence rrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4197 = -209*m - 435 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**2 - 12*c - 9. Let r(t) = t**2 - 11*t + 1. Let x be r(10). Let q be j(x). What is the greatest common factor of q and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*a + 5 = 50 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 4*v - 172 = 0. Let b = -407 + 452. Let j = b - v. Solve -n - 5 = -j*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/sqrt(48) - sqrt(1134)*-1)\/(4*(sqrt(2) - (sqrt(2) + sqrt(18)))*6).\nAnswer: -37*sqrt(7)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 221*l**2 - 73*l**2 + 166*l**2 - 50*l**2 + 66*l**2 as j + a*l + o*l**2 and give o.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 820.4 - 820.9. Which is the biggest value?  (a) w  (b) -971  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10803745037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*l**5 + 5978*l**4 - 76*l**3 - 409597*l**2 wrt l.\nAnswer: 120*l**2 + 143472*l - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.687 + -0.978. Let h = l - -0.394. What is h rounded to 3 dps?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4810 and 44215.\nAnswer: 1149590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -2321*j**3 + 1389*j**2\/2 + 890. Find the second derivative of b(s) wrt s.\nAnswer: -13926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*y + 30 = 168*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 181 + -180. Solve 5*c - 9 = v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444976 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-10))\/(50\/20 + -3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/((o**20\/o)\/o))\/o*o)\/o*o)\/o)\/o**(-12)*(o**2)**35 assuming o is positive.\nAnswer: o**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52, 61, 76, 97?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -84 in -1\/4, -1\/5, -3, -0.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2097551 by -29.\nAnswer: -2097551\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 275987881*m**2 + 32001*m - 547 wrt m?\nAnswer: 551975762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 80.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12249*a - 13751*a - 12016 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -391.335 + 377. Let a = z + -0.365. Round a to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2079 by -693.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1940 = 8*s + 8*s + 1668 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*j*w**4 - 5*j*w**3 + 6585*j*w**2 + 2*j*w - 7*j - 45058*w**4 - w**2 wrt w.\nAnswer: 264*j*w - 30*j - 1081392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.054 and -74.\nAnswer: 3.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of -1\/3*n**3 + 0*n**4 + 0*n**2 + 1 + 0*n**5 + 0*n + 0*n**6 + 1\/7*n**7. Find the third derivative of m(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -5*u - 5. Let c be k(-2). Solve q = c - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a - 17. Let k be g(17). Let i(s) = 3*s**2 - s**2 - k*s**2 - 12*s**2. Let l(z) = z. Calculate l(i(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00200008 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + (7 - 6) + -4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 41 - 41.23. Let q = i + 0.230095. What is q rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 7\/3)\/(26\/6 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165264 is divided by 82629.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -75 - -75. Suppose 4 = 6*l - 4*l. Solve -l*r + r = m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 2 = -5*j - 7, 8 = -4*x - 2*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 10, 0.1 in ascending order.\nAnswer: 0.1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.06492 and 107.\nAnswer: -6.94644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 31234 and 966?\nAnswer: 93702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2091297163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mag when three letters picked without replacement from {m: 1, w: 1, a: 1, g: 3, r: 4, d: 2}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*k = -33, -5*t - 8*k + 9*k = -149. Solve 2*f = -3*z + 5*z, t = 3*z + 3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 109049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10528 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 s when two letters picked without replacement from sssieikkksft?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 18431181 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: Let v(j) = -j**3 - 5*j**2 + 6*j - 5. Let y be v(-6). Let z = 35 + -36.45. Let p = -1.45 - z. Which is the nearest to 0.2?  (a) p  (b) -1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22500*p - 22443*p + 44980*p.\nAnswer: 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 12:48 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence apm when three letters picked without replacement from ulwmmwmumpaummmmpm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, -3\/536, 11\/3, 16\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 18.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 698 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120 divided by 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 28243697 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 21044024, 84176103, 189396230, 336704405?\n\"Answer: 21044024*d**2 + 7*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -259 + 1555\/6. Let c = -4 - -6. Let d = -0.26 + 0.26. What is the nearest to d in c, s, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677 is divided by 268.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 361, -1, 2, 30, 4, -1420 in decreasing order.\nAnswer: 361, 30, 4, 2, -1, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -2*x - 24 + 3\/2*x**2. Calculate z(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 7)*126*(-1 + 0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9966\/(-126) - (51 - 3)\/(-8)) + 18\/189?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 65\/1137873 and -83\/4034277?\nAnswer: 44377047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.14 + -0.86. Which is the closest to m?  (a) 15  (b) 4\/5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92470 times 7?\nAnswer: -647290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 4 - 2)*(3 + 1 - 6) - 1 - 1 + 0 + 1 - 5 + 2)*(-h + 4*h + h)*(-4 + 2 + 4) to the form b + m*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {n: 1, c: 1, z: 5, l: 1, e: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -3*l + 13, -3*l - 4*n + 37 = 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -8*n + 57. Let w be q(7). Let l be 25\/4 + w + (-2)\/8. Solve -3*y + l*y + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*z**3 + 5*z**4 + z**2 + 1207 - 1208 - 3*z**2 + (-1 + 1 - z**2)*(3*z**2 + 2*z**2 - 4*z**2) - z**4 - 4*z + 4*z.\nAnswer: 3*z**4 - 5*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 128\/(-160) - 3\/(15\/(-2)). Which is the nearest to 0.6?  (a) -1\/6  (b) 5  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d**2 - 57*d - 28. Give n(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**3 - a**2 + 10*a - 14. Let s = 21 + -17. What is the hundreds digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 9 = -1. Solve 0 = s*y - 30 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 16711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6408 = 27*p - 70020. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q. Let z(i) = -20502*i**2 - 27202. Calculate z(g(r)).\nAnswer: -82008*r**2 - 27202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, f: 2, j: 2, d: 4}. What is prob of sequence mff?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3669511806 + -3669511829.99999981. Let j = 19 + -43. Let l = t - j. Round l to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-3))**(-13))**(35\/6) assuming s is positive.\nAnswer: s**(-910\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, c: 3, v: 3, x: 2}. What is prob of picking 1 v and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -12\/11, -2\/4891, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9\/14 + -5\/14. Let p = 2\/8961 + 17900\/98571. What is the nearest to 0 in 0.4, p, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 364*w + 3403 - 8499 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - m)*(-m**4 + 6*m**4 + 3*m**4) + ((-m + 0*m + 2*m)*(7*m**2 - 2*m**2 - 4*m**2) + 18*m**3 - 11*m**3 - 16*m**3)*(-m + m**2 + m).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = y + 5, -4*y + 0*z + 6 = -5*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 - (13 - (-145 + 268)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 1\/5, -4\/5, -1\/1509 in increasing order.\nAnswer: -4\/5, -2\/5, -1\/1509, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 80 = -0*y + 14*y. Let a(i) be the first derivative of 20\/3*i**3 + 16*i + 1\/2*i**y - 29 + 17*i**2. Factor a(c).\nAnswer: 2*(c + 1)**2*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 20, -4*t = -5*g + t + 25. Suppose -2*y + g*y = -6. Suppose f = y*f - 940. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of m**7\/2520 + m**6\/180 - m**5\/30 + m**4\/3 - 3*m. Let t(y) be the third derivative of h(y). Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (193 - 212 + 350)*(-7 + 7 + 7*w) in the form t + r*w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 0.6  (c) 1\/6  (d) 33  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-78 - -1)*(1 - (922\/5071)\/(28\/22))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2006553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -19*q + 6. Let a(l) = -39*l + 13. Let v(t) = 6*a(t) - 13*d(t). Let k(r) be the third derivative of -7*r**4\/24 - 299*r**2. Give k(v(i)).\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 641.\nAnswer: 7051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of d**8\/24 - 11*d**5\/60 + 17*d**2\/2 + 27*d. Let q(c) be the first derivative of a(c). Find the third derivative of q(z) wrt z.\nAnswer: 840*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5296 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -32.0696 and 1.\nAnswer: -31.0696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 3*n - 2*f - 9, -2*f = 10. Is n greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 1022, 6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t*t**(1\/3)\/t))**13)**(-2\/21) assuming t is positive.\nAnswer: t**(-52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4027576.\nAnswer: 2, 7, 23, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-10)\/(-75) + 2816\/30?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -16*u - 8*u - 15*u + 37*u. Let b(r) = -r - 5. Let f be b(-7). Let j(w) = 6*w**2 + 2*w**2 - 2*w**f. Determine j(n(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17558, -70337, -158340, -281567, -440018, -633693?\nAnswer: -862592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -521 = 241*l + 1166. Let w(z) = 9*z**2 + 57*z - 27. Calculate w(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 713 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60242, -60239, -60236?\nAnswer: -60233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 7, o: 1, m: 1, u: 2, l: 2, p: 1}. What is prob of sequence lulh?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -3*b - 5, 4*b - 47 = -3*o. Solve -g + 3*c - o = 0, g + 15 = 6*g + 5*c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*p + 3)*(8 - 1 - 3) - 6 - 11*p + 6.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiciiciiicciciii. Give prob of picking 3 c.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 - (17 - 0\/(-2)). Let u be (-9)\/18 + (-14)\/n. Suppose 12 = -5*d - 3, -z = d. Sort z, u, -5.\nAnswer: -5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -271.7415 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19119 is divided by 9382?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -26*c**2 + 5*c - 1. Let d be y(1). Let t = 42 - d. Suppose -5*u + t = 4*g, 4*g - 5*g - 4*u + 27 = 0. Is g != 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 14273, 14254, 14221, 14168, 14089, 13978?\n\"Answer: -i**3 - i**2 - 9*i + 14284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*w**4 + 5*w**4 + w**4 + (3*w**2 + 6*w**2 - 4*w**2)*(0*w**2 + 3*w**2 - 5*w**2).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/27  (b) -2  (c) -1\/19  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -63*c + 9. Is s(-14) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(440)\/(sqrt(10)*-1))\/((sqrt(20) + (sqrt(1620) - sqrt(20)) + sqrt(20))\/sqrt(5)).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -77654 or -854197\/11?\nAnswer: -77654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 204 and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 15362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y - 1221. Let c(d) = -2*d**2. What is c(w(x))?\nAnswer: -2*x**2 - 4884*x - 2981682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 7*x + 3. Let h = -4 - -3. Let v be h*2*(-8)\/2. What is the remainder when t(v) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o**2 - 47*o + 34. Let p(x) = x**2 - 15*x + 11. Let y(f) = 2*l(f) - 7*p(f). Calculate y(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 269842843 - -14\nAnswer: 269842857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7\/4?  (a) 12  (b) 1\/61  (c) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -205 = -57*s + 56 + 24. Solve -35 = -2*n - 5*j, -5*n - j = -s*j - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 108823.1.\nAnswer: 108822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*j + 29, -3*j + 5*z = 2*j - 35. Suppose -1 = b - 2. Suppose 0*w + w = -2*x + b, j*w = -5*x + 1. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/2)\/((-57)\/76). Suppose -a + n + 72 = 0, -n + 302 = 4*a + f*n. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11122001 (base 3) in base 10?\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 504947.\nAnswer: 504947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-1290)\/45*(-15)\/(-50))\/(6\/(-20))\nAnswer: 86\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, -2\/13, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*g**2 - g**2 + 7*g**2 + (-2 + 0*g + g - 2*g)*(-384*g + 650*g - 327*g) in the form c*g**2 + t + x*g and give c.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3914585842 to the power of 1\/2, to the nearest integer?\nAnswer: 62567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-162)\/36*((32\/(-2))\/(-2) - 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*f - 70. Let k = f + 41. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 1600 = 4*d, 3*d - 920 = 4*y + 361. Let j = -197 - y. Calculate the remainder when j is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 30 = 6*s - 5*m, -5*m - 20 = 0. Suppose x - x = s*x. Solve -3*w - 10 = -5*c, w + 4 = c - x*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:39 AM and 5:58 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 16 = -4*h, -2*h - 2 = -z - 10. What is the common denominator of 254\/32 - (2 + -4 + h) and -79\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.358 - 23278.2\nAnswer: -23277.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/((-50)\/12))\/(774\/(-1935)). Let a(v) = -v**3 - 2*v**2 + 5*v + 4. What is a(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m - 8. Let u be o(8). Suppose 3*p - 9 = -u*p. Suppose -p*q + 20 = 2*q. What is the highest common factor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*v - 38*v + 10750 = -72*v. Solve -15*w = v - 1075 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57427713 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 100106\nAnswer: 5\/50053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3354 - 1611. Let a = k - 1743.0741. What is a rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/6 + 362\/12. Let x be (-43)\/9 - a\/135. What is the smallest common multiple of 6 and -1 + 2 - (-6 - x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 PM and 12:01 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 11:10 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 385152.\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {w: 2, v: 2, e: 1, a: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.5 - 2.4. Round x to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -174, -183, -192?\n\"Answer: -9*y - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1155289978.\nAnswer: 2, 17, 67, 507151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-16) - (-2196)\/288?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19 + 5 + 24*q + 6*q + q in the form p + h*q and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 divided by 33?\nAnswer: 191\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*h + 126 = 474*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-17)*o**(-4)\/o)**(-1\/25) assuming o is positive.\nAnswer: o**(-13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2\/9  (b) -0.2  (c) -4  (d) -5  (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 2*d + 38, 24 = 2*h + 4*d + d. Let n = h + -14. Suppose -1802 = -2*m - 3*t, -4*t + 4491 = 2*m + n*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c - 295*c**2 + 295*c**2 + 3*c**3 - 4*c**4 + 2*c**3 in the form w*c**3 + k*c**4 + f*c + t*c**2 + r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 25663397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 376802 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 plus -449.885?\nAnswer: -504.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69898, 139793, 209688, 279583?\nAnswer: 349478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15611 millennia in years?\nAnswer: 156.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((6*sqrt(1000))\/(-1*sqrt(512) - sqrt(8)) + -2 + (sqrt(125)*-3)**2 + 5).\nAnswer: -10*sqrt(5) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 7:48 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 4 + sqrt(8) + -1 + ((sqrt(288) - (sqrt(288) + -3 + sqrt(288)) - sqrt(288)) + 3)**2.\nAnswer: -286*sqrt(2) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 + -67. Let f = -3\/35 - 11\/35. What is the nearest to -1 in b, -7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y. Let w(h) be the third derivative of -1099*h**5\/20 + 524*h**2. Determine j(w(f)).\nAnswer: -3297*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -222, -223, -224, -225, -226?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33 and 44231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 3*s**2 - 3*s - 5. Let a = 1 - -3. List the prime factors of q(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31.848*-2646\nAnswer: -84269.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p + 9. Let a be r(-4). Let j(s) = -2*s**2 - 2*s**2 + a*s**2. Let v(u) = 0*u + u - 2*u. What is j(v(c))?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -2)**2 + 4*1*sqrt(7) - (sqrt(28)\/(1*sqrt(4)) + 2 + (sqrt(7)*-3 - sqrt(7)))**2.\nAnswer: -56 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -216842059925684 and 0.2?\nAnswer: 216842059925684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/1360 and 13\/2992.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7561316 divided by -1159.\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o**2 - 552*o - 9828 = 0.\nAnswer: -117, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003745 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (15 + -30 + 17 - 11)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 358776 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 220765 divided by 2\nAnswer: 220765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1313 - 937. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 3*h - 0*o - 28, -5*o + 14 = 3*h. Suppose 2*v - 6*v + h = 0. What is the second derivative of j**5 + 4*j**4 - 2*j**4 + j - v*j**4 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0011946 to 5 dps.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {f: 1, b: 3, o: 7, g: 2, p: 1}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 6*m**5 - 6*m**3 + 5*m**2. Let k(v) be the first derivative of 7*v**6\/6 - 7*v**4\/4 + 2*v**3 + 1. Let b(h) = 5*k(h) - 6*p(h). Factor b(a).\nAnswer: -a**3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**2 - 15427776*j = 0. Calculate j.\nAnswer: -7713888, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44477 - 44478. Let o(n) = n + 2. Let y be o(-4). Are y and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 5:40 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of p**8\/1344 - 19*p**6\/120 + 69*p**5\/40 - 279*p**4\/32 + 99*p**3\/4 + 227*p**2. Let d(x) = 0. Calculate x.\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90255 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.00544 - 0.3.\nAnswer: -0.30544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 233 and 46212521?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/28377 and -25\/324.\nAnswer: 340524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 408\/(-7) - 1 - (-2)\/7. Is t smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.055 + 44.055. Let w = 40 - t. Sort 0.2, -8, w in descending order.\nAnswer: 0.2, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3639.418 micrograms?\nAnswer: 0.003639418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11110 (base 2) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4678*q**2 - 1165*q**2 + 5 - 15*q - 1165*q**2 - 1171*q**2 - 1168*q**2.\nAnswer: 9*q**2 - 15*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 5)*(1 - 13226*a**2 + 0 + 13029*a**2).\nAnswer: -197*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 4*o - 16, -13 = 9*m - 13*m + 5*o. Solve -m*c + 193 = 157 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zip. What is prob of picking 1 p and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 28 = -4*i, i - 2*k = k - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**2\/13 - 2206*g\/13 + 2204\/13 = 0. Calculate g.\nAnswer: 1, 1102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -41341, -41339, -41337, -41335, -41333?\n\"Answer: 2*y - 41343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1 + 0*w - 2*w + 2. Let x = -33 - -29. List the prime factors of c(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-360)\/21)\/((-50)\/(-525)). Let p = 306 + v. Does 42 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = 197*n - 192*n - 23, -3*n = -f - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -141*331\/((-2006853)\/3612)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -335286809*p**4 - 346669659*p**2 wrt p.\nAnswer: -8046883416*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.027697 to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/6 + 15064\/21 + 8. What is the highest common factor of 25 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*a + 171*a + 369 = -21 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q. Let x(d) be the second derivative of d**5\/20 + d**4\/2 + d**3\/2 - 3*d**2 + d. Let p be x(-5). Give j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (f - 3*f - f)*(-14 - 13 + 28)*(0*f + f + 0*f) to b*f**2 + h*f + z and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fwhf when four letters picked without replacement from wwfwwfwwwh.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 9:09 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**5\/x**(-3))\/(x**(-3\/8)\/x**(-6))*(x**(1\/3)*x*x**(-10)*x*x)**(2\/121) assuming x is positive.\nAnswer: x**(6577\/2904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - 36 - (2 - 5). Let b = 50 + y. Solve -4*f - b = -p + 2, -3*p = 4*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -24. Let o(y) = i*y + 3*y - 3*y. Let t(c) = -c**2 + 3*c + 3. Let u(f) = -f**2 + 4*f + 4. Let p(z) = 4*t(z) - 3*u(z). Determine o(p(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) - 5*sqrt(99)*-1)\/(-6*sqrt(81)).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 256, 1634, 5368, 12634, 24608, 42466, 67384?\n\"Answer: 196*j**3 + 2*j**2 + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 153*v**2 + 1169*v - 318. List the prime factors of g(-144).\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1320)\/1056*12\/8*4\/3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 81\/(-4) + (-435)\/580. Sort w, -1, -23, 2, 4 in ascending order.\nAnswer: -23, w, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 11*p**2 - p + 15. Let i be w(11). What is the remainder when 89 is divided by -1 + (475\/20 - (-1)\/i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -943864 divided by -471932.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*f**2 + 14*f**2 - 31*f**2 + 4*f**2 + 16*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54.23 - 54. Let h = x - 0.2299962. Round h to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -26*d*n*t**2 - 59*d*t**2 - 5*d + 16*n*t**2 - 14257*n wrt t?\nAnswer: -52*d*n*t - 118*d*t + 32*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 258911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*p - 9*p - 8. Let i(f) be the third derivative of 1\/18*f**3 + 0 + f**p + 1\/90*f**5 + 1\/24*f**4 + 0*f. Let i(b) = 0. What is b?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a day in seconds?\nAnswer: 41472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/3, -1\/5, -16, -4 in descending order.\nAnswer: -1\/5, -5\/3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8a3 + 13?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 54*k**2 + 33*k - 11. Let r(w) = 1960*w**2 + 1200*w - 400. Let z(j) = -11*r(j) + 400*y(j). Let i(o) = 2*o**2 + 18. Calculate z(i(s)).\nAnswer: 160*s**4 + 2880*s**2 + 12960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*b - 31*b + 6*b)*(-13*b**2 - 6*b + b**2 + 9*b**2).\nAnswer: 120*b**3 + 240*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 5*v - v)*(0 - 2*v + 0) + 1 - v**2 - 1.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of -5*d**8\/336 - 8*d**5\/15 + 247*d**2. What is the third derivative of j(c) wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-3) - (-2 - 6). Let o = -4 + y. Suppose -12 = -o*x, 0*q = -2*q + 2*x - 12. Which is bigger: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/12105 and -59\/121050?\nAnswer: 121050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 9:36 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 16 = t, 92*t - 96*t + 3 = 4*o + 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 2:08 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) 4  (c) -2\/7  (d) 3  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7182810 - 3?\nAnswer: 7182807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 0  (b) 0.2  (c) 0.68  (d) 0.4  (e) -776\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1622)\/405 + 4)\/((-608)\/(-50) - 12). What is the smallest value in -0.1, 3, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t - 2. Let b be q(6). Suppose 5*n - 11 + 2 = s, 3*n = -4*s + 56. Let a = s + b. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 326030049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -3*w - 10. Let b(v) = 8*v + 30. Let l(z) = 4*b(z) + 11*k(z). Let d be 1 - -2 - 21\/(-7). Give l(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pgzplippzlpzkil. What is prob of sequence zpk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 4*w - 33 + 5 = 0, 3*z + 3*w = 3. Suppose -8 = -z*q, 5*q + 17 = o + 4. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4324*u - 14107 = -53023 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 26 = 2*a, 2*y + a - 30 = -45 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5378266181 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 20*a = -16*a + 19196, 3*a = 2*d - 12797. Is d a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(((3*-4*sqrt(171) + sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171) - sqrt(171)) + sqrt(171)))\/(sqrt(63)\/(sqrt(42)\/sqrt(6) + sqrt(7))*1).\nAnswer: 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 34\/8637 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - 4)*-3 + -4. Suppose b*j = 309 - 34. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/75411 and -58\/527877.\nAnswer: 527877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 10*f - 8. Let v be b(-12). Calculate the remainder when 142 is divided by 8\/6*(32\/(-8) + v).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*34*1\/34.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101.53 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(17\/3)*u*u)**43*(u*u**(4\/3))**(-1\/5) assuming u is positive.\nAnswer: u**(2076\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -17846, -18265, -18966, -19949?\n\"Answer: -141*b**2 + 4*b - 17709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 14 - (1 + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.0201  (b) 0  (c) -0.079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**5 + k**4. Let u(l) = 15*l**5 + 5*l**4 + l. Let i(x) = -u(x) + 5*z(x). Find the second derivative of i(d) wrt d.\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/24)\/((-42)\/(-224))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 3*u - 2. Let n be p(4). Suppose -n = -5*h, -5*h - 3 + 17 = 2*t. Suppose -2*v - 8 = -t*z + 6*z, -3*v + 3 = 3*z. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -316458*x**3 + x**2 - 3565*x - 139?\nAnswer: -1898748*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -12*c**3 + 3*c**2 - 1011*c + 21. Let b(m) = m**3 - m**2 - 7. Determine -3*b(h) - o(h).\nAnswer: 9*h**3 + 1011*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 139056, -2 in decreasing order.\nAnswer: 139056, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -7. Let l be (1 - 1)*(2 + x). Solve 1 = -o - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.3, -9, 1, -57\/25?\nAnswer: -57\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 4*n**2 - 3*n - 5. Let w be b(5). Let r = 0.039 - 41.439. Let j = 42 + r. What is the second smallest value in j, -2, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*w**3 + 5*w**3 + w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 284225610 to the power of 1\/2, to the nearest integer?\nAnswer: 16859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 0. Suppose 0 = -n + l + 1, -4*n - 11 = -9*n + r*l. Solve -n = 3*a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-6)*(-14)\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7582931 is divided by 133033.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 5*s + d, 3*s = 4*d + 17 + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2273 + 2273 - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8676 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7560 - 889 - 750 - 1184 - 823)*(8*l - 2*l - 8*l) to the form b + y*l and give y.\nAnswer: 22412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1972\/(-319) + (-2)\/(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5167, -5213, -5259, -5305, -5351, -5397?\n\"Answer: -46*t - 5121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*i**3 + i**3 + 5*i**3)*(-146*i + 148*i + 80 + 68) in the form y*i + n*i**4 + f + x*i**2 + c*i**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/115450 and 111\/6049580.\nAnswer: 30247900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 326821847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/273 and 10\/3?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, -4 in descending order.\nAnswer: 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.073 + 0.327. Let j be ((-5)\/(-2))\/((-4)\/8). Which is the third smallest value?  (a) j  (b) r  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1375 divide 4841375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5620879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -7  (b) 5  (c) 3  (d) -5.5429  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xejtu. Give prob of picking 1 t and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 PM and 8:31 AM?\nAnswer: 671","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*(9 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 71536 - -0.0088.\nAnswer: 71536.0088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 - 67\/4. Suppose 35 = 4*h + h. Which is the smallest value?  (a) h  (b) 5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Solve 0 = -4*u + 5*i + 57, 162*i - 37 = -4*u + 163*i for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000028437 to seven decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 8*n**2 + 10*n + 1. Calculate the smallest common multiple of w(9) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -15*a**2 - 53*a + 4414. Determine p(-17).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-145)\/(-348)*(-69)\/(-10)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3821273*h + 139*h**3 + 3821277*h - 7642550*h.\nAnswer: 139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1, 94, 257, 488?\n\"Answer: 34*l**2 - 7*l - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-2\/5))**(-1\/5)*x**(4\/9)\/x*x**4*x*x*x**(-1\/12)*((x*(x*x**6)\/x)\/x)\/x*(x\/(x*(x\/((x\/x**(1\/2))\/x))\/x*x))**21 assuming x is positive.\nAnswer: x**(-19277\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 44 + 50. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1367*h + 767*h + 311*h)*(0*h**3 + 0*h**3 + h**3) + (-4*h + h + 2*h)*(-4*h**2 + 8 - 8)*(0*h + h + 0*h) as v*h**3 + w*h**2 + o + u*h + x*h**4 and give x.\nAnswer: 2449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1188 and -0.2.\nAnswer: -0.02376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 39112 - 1372?\nAnswer: 37740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3*3\/(18\/4). Let j(d) be the second derivative of -c*d + 1\/20*d**5 + 0*d**4 - d**2 + 0 + 0*d**3. Differentiate j(q) with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + (-300)\/(-3) + (0 - -1). What is the greatest common divisor of p and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 118 and 132?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1001479\/68 - 14728. Let q = -2\/17 - d. Factor 1\/2 - 1\/4*n - q*n**2.\nAnswer: -(n - 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -130 + 1236?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(28\/10 + -3). Suppose -9 = v + 4*z, -2*z - 2*z = 3*v - t. Which is greater: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -27227 + -3?\nAnswer: -2722a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 5, -1161.5, 0.7.\nAnswer: -1161.5, -2\/15, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46356 and 84?\nAnswer: 324492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - -375 - (-42)\/(-6). Let k = w - 299. 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: Let h = 1.4000043735 + -1.4. What is h rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -1721*p - 30. Let c(d) = 860*d + 14. Let t(x) = -7*c(x) - 3*o(x). What are the prime factors of t(-1)?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*q + 31, 4*q + 14 = -t + q. Let l(b) = 2*b**3 + 21*b**2 - 9*b + 22. Let w be l(t). Solve r - 2 = -w*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 336031, 336859, 338239, 340171, 342655, 345691?\n\"Answer: 276*j**2 + 335755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -5024?\nAnswer: 7\/5024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*o**2 + 2445*o - 4902 = 0. What is o?\nAnswer: -817, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttzzlzzze. Give prob of picking 1 l and 1 z.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-120)\/(-3))\/10*2\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 132842 - -5?\nAnswer: 132847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -4109 times 24799\nAnswer: -101899091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, 46701, -1\/2 in increasing order.\nAnswer: -1\/2, 0, 1, 46701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 98082756.8 and 0.1?\nAnswer: 98082756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -2*m**4\/5 - 1027576*m**3\/5 + 12331178*m**2\/5 - 2260720*m = 0.\nAnswer: -513800, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -5*i**2 + 30*i + 27. What is the tens digit of d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.15 - 0.05. Let z = -37 + 28. Let o be 6\/(-4)*((-19)\/z + -2). Which is the biggest value?  (a) 1  (b) o  (c) -1  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104869508.\nAnswer: 2, 26217377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 4916?\nAnswer: 24580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 3*c**2 - 3*c**2 - c**2 - 2*c**2. Let i(n) = -n**2 - 11*n - 16. Let s be i(-8). Let b(k) = -31*k + s*k**2 + 31*k. Calculate h(b(t)).\nAnswer: -192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gnt when three letters picked without replacement from ooitnnioog?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 1102?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -227*w - 969 + 11184 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23\/(-207))\/((-2)\/3*(-2)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, 3, 3606 in decreasing order.\nAnswer: 3606, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x + 8*x - 39 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -627341*z + 3764051. Determine t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1107)\/216 - (-55)\/10.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -39, -6 in increasing order.\nAnswer: -39, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/3396 and -37\/90080.\nAnswer: 76477920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -32*p**2 + 13350*p - 2713. Determine a(417).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 6728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 238730047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*m**4 - 18*m - 1452 wrt m.\nAnswer: -8*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00799251 to 4 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -21102120 (base 3) to base 11\nAnswer: -4083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -281, -590, -899, -1208, -1517, -1826?\nAnswer: -2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2851614371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 11*x**2 + 14*x - 22. Let n(m) = -41*m - 4. Let v be n(1). Let d = v - -55. Let o be r(d). Calculate the greatest common factor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10933 + 40365 = 2264*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -3*j**2 + 8. Let s(v) = 1 + 31*v**2 - 57*v**2 + 25*v**2. Give -a(y) + 5*s(y).\nAnswer: -2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*a - 105901 + 133656 = 0 for a.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -503 and 531255459.\nAnswer: 531254956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + u + 0 + (-2*u - 3 + 3)*(0 + 2 + 0))*(-42*u - 19*u - 60*u).\nAnswer: 363*u**2 - 121*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*p - 26 = 271 + 140 - 72, -5*j + 4*p - 2*p - 50 = p for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-65)\/(-39)*12\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -505*x - 23*x**2 - 461*x + 966*x.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 523528087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3*m**2 - 72*m - 464. Does 22 divide i(42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - 0.1. Let a = 39 + 45. Let t = -754\/9 + a. What is the closest to h in -2, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28813*l**2 + 28813*l**2 - 546*l**3.\nAnswer: -546*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -52*l - 2760. Calculate k(-18).\nAnswer: -1824","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gtqqtgsgtqggqg?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2224, -2254, -2286, -2320, -2356?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) 0.5  (c) -0.0153  (d) 1  (e) -5  (f) 9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3) - (420\/36 - 11). What is the closest to 2 in 11, o, -3, -6\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {s: 7, o: 1, b: 1, h: 5, u: 4, p: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 + -4. Suppose -o*i = -24 + 8. Suppose -i*y - 6 = u, 0*y = 4*u + 3*y - 28. Solve n + n = u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76758171 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84 + -74 - ((-9 - -12) + (3 - 1) - -13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j + 3. Let n be 21*(26\/(-6) + 1). Suppose -113*h + 119*h - 345 = 45. Let x = n + h. What is o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3018909 rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 994315 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2a20 + 92451?\nAnswer: 8a531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 429149 is divided by 107258?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 67*l - 734. Let w be j(11). Let r(i) be the third derivative of 3\/40*i**5 + 7\/240*i**6 + 0*i + 0*i**w + 0 - 11*i**2 + 1\/24*i**4. Factor r(h).\nAnswer: h*(h + 1)*(7*h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/5 + 124*x\/5 - 1922\/5.\nAnswer: -2*(x - 31)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6656 = 33*u - 31*u. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 9*m - 6*m. Suppose -27 = -h - 7. What is the tens digit of (-10)\/h - 46\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 404\/7  (b) 0.04  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 3*b**7\/350 + b**6\/100 - 11*b**5\/300 - b**4\/30 + 2*b**3\/15 + 2*b**2 + 8*b. Factor f(i).\nAnswer: (i + 1)**2*(3*i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 38724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4592\/(-492)*36\/21.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -273, -199, -73, 105, 335, 617, 951?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 7*x - 46. Determine t(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 + 2*z + 6. Is 50 a factor of a(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2204860 = -142*y + 24*y + 2195774 for y.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(540)*-2 - sqrt(540))\/(sqrt(15)\/sqrt(3)*5) - ((sqrt(30) - -2*sqrt(30))*-1)\/(((sqrt(120)\/sqrt(4) - sqrt(30)) + sqrt(30))\/sqrt(3)).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (105*p + 411*p + 178*p)*(-1 - 2 + 5).\nAnswer: 1388*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.047179 times 0.047\nAnswer: 0.002217413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 - 2\/(-3)*-6. Let t = 0.107 - -6.193. Let a = t - -0.7. What is the third biggest value in 4, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1  (b) -21  (c) 0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6613, -6521, -6367, -6151?\nAnswer: -5873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 9) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1404*p + 753*p + 1023*p - 251220 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/222796 and -107\/32850.\nAnswer: 50129100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.16 + -0.05. Let x = m - 1.03. What is x rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 1)*(3*b - 5*b + b)*(1 - 1 + 4).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -116*y - 4519. Let r be g(-39). Let c = 46 - 51. Sort -6, r, c, 4 in decreasing order.\nAnswer: r, 4, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2 + 6*j - 7. Let n be x(-5). Let k be 0 + -1 + (-32)\/(-4). Let t = n - k. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1631185828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 49, 96, 143, 190, 237, 284?\n\"Answer: 47*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 170664667*a - 341329340*a + 176*a**2 + 170664673*a.\nAnswer: 176*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1*20957\/(-10089) - (-4)\/18) + 301\/(-129)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -0.0243?\nAnswer: 0.5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 668 divide 235804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w - 5, -9*w = 8*b - 10*w - 179453. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 2 - 6 = -48. Suppose i - 33 = 15. Suppose -p*d + i = -d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2329158 and 115596.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5*sqrt(4)\/sqrt(2) + 2 + (sqrt(4)\/sqrt(2))**2 - (sqrt(12)\/(sqrt(6)*-3) - (sqrt(2) - (sqrt(200) + sqrt(200)*1))**2).\nAnswer: -14*sqrt(2)\/3 + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 139*i - 141*i + 4160, 3*i + 2072 = 2*g. Calculate the remainder when g is divided by 1026.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 4*u. Let f(z) = z + 1. Let n(p) = -p - 2. Suppose -4*l + 4*c - 13 = c, l = 5*c - 16. Let r(b) = l*n(b) - 2*f(b). Determine r(i(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -3*z**2 - 1644*z - 3276 = 0?\nAnswer: -546, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-114)\/(-4085))\/((-12)\/20)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 184 - 3*z**2 + 50*z - 53*z + 85 in the form d + t*z**2 + i*z and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004746094 rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**2 - 362*v - 4200 = 0. What is v?\nAnswer: -350, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 - 30588*b**2 + 59611140*b - 26120014596.\nAnswer: -4*(b - 837)**2*(b + 9321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -78859*p**3 - 815*p + 18 wrt p?\nAnswer: -473154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 11, v: 2, d: 1, i: 1}. Give prob of picking 1 d and 1 p.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(-2\/3)*j)**(12\/5)*(((j\/(j\/((j**(-16)*j)\/j)))\/j)\/j)\/(j\/(j\/j**(-18))))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/17442 and 59\/1701.\nAnswer: 1098846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 - 7*o**2 + 6*o - 2. Let b be u(6). Let j be b - (9\/3 - 0). Let f = 11 + j. What is the remainder when 23 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -497, 14\/19, -125 in decreasing order.\nAnswer: 14\/19, -125, -497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 271198?\nAnswer: 271193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*i = 7 - 58 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*d - r - 23 = 51*d, 5*r + 25 = 0. Suppose 0 = l - 3*l + 6. Solve 6 = -l*v + d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6516.3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (20\/(-130) - 37\/13)*-37.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (47 + 29 - 15)*(-3 + 3 - 3*z - 7*z) to q*z + b and give q.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of 49*f**4\/24 + 2*f**2. Let a be h(2). What is the highest common factor of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -89 divided by 669\nAnswer: -89\/669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(637) + (-2 + sqrt(637))*-4 + sqrt(637) + sqrt(637))*3)**2*-4.\nAnswer: -25636 + 4368*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -132\/335 + -2\/335. What is the closest to d in -3\/4, 6, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3))**(6\/23)\/(g**(-3\/4))**(-33) assuming g is positive.\nAnswer: g**(-2349\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-7 + (-1 - 0) + 8 + 4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1127 - -1190. Solve 20*a - 23 = -h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 4442*r - 2140917. What is t(482)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-96 + 30 + 33).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 + 9. Suppose -3*m = y*m - 75. Calculate the remainder when 27 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 60*t**2 - 460*t + 4. Let u be p(51). Which is the nearest to 7?  (a) 3  (b) -0.3  (c) u  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 45*u - 1174. Give l(31).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -310260, -310261, -310262, -310263, -310264, -310265?\nAnswer: -310266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -98*u**4\/15 - 364*u**3\/3 + 282*u**2\/5 + 184*u\/3 + 152\/15 = 0. Calculate u.\nAnswer: -19, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 1 + 3 = 0. Sort -5, b, -8 in descending order.\nAnswer: b, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -303*x**2 + 588*x**2 - 287*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00061475954 rounded to seven dps?\nAnswer: 0.0006148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 50874 and 15555.\nAnswer: 4324290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 - 18. Suppose -5*d + 3*m - 10 = 17, -2*m = -2*d - 14. Let k = 1\/5 + 2\/15. What is the biggest value in d, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 + 4*b**2 - 3*b**2)*(4*b + b - b) + (-4 + b + 4)*(3*b + 3 - 3)*(b + 5 - 5).\nAnswer: 39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 408108 is divided by 7557.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.074826052 plus -0.452624?\nAnswer: -0.527450052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 4. Let o be h(2). Let n(c) = -628 + 19*c - 24*c + 633. Let t be n(o). What is the highest common divisor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2. Let h(x) = 3. Let u(r) = -5*h(r) + 6*t(r). Let p(a) = -a. What is p(g) - u(g)?\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(2\/13)\/t)\/t)\/t**(-2\/3))**(-18\/7) assuming t is positive.\nAnswer: t**(276\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -15\/8?  (a) -3\/7  (b) -5  (c) -62\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19 plus 437.68070479?\nAnswer: 437.87070479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*h - 2*p, 0 = 6*h - 2*h + 2*p - 6. Suppose h*u - 36 = -2*j, 2*j = u - 3*j - 42. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-4) - 1\/2. Let s = n - -6. Suppose 23 = s*l - 91. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -231*u + 236*u = -y - 62, y - 21 = 4*u + 34 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {q: 2, o: 1, n: 4, w: 2, b: 3, l: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2211030363 to the nearest integer?\nAnswer: 47022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*t + 4*u, 0 = -t - 3*u - 0*u + 3. Suppose -3*g + t = 2*l + 3*l, 0 = 4*l - 2*g + 8. Let j = 4.04 - 0.04. Sort j, -1, l in descending order.\nAnswer: j, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n. Let r(i) = -90*i + 97. Let w(z) = 3*m(z) - r(z). What is the derivative of w(q) wrt q?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 + -29. Let j = 19 - x. Let t(z) = -6*z + 23. What is the remainder when t(-5) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a4201 (base 15) in base 3?\nAnswer: 12021011120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -72 + 10. Let f = 64 + x. Find o such that -3*o**f + o**4 + 2*o + 9 - 18 + 9 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 128\/(-48) + 1204\/420.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -13 - 19. Suppose -4*p - 3 + 2 = -m, -2*m = 3*p - 24. What is the remainder when k is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24785 is divided by 637?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -4157307*p**2 + 4*p + 10. Let x be l(-2). Let v = x + 9819226. What is v rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 181\/24 + -22\/3. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and -2672.\nAnswer: -160.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 16*w - 138. What is h(-23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -89 - -173. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3*w - 181 = 0, -2*s - 94 = w + w. Let a = -29 - s. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 80585412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 132738920.\nAnswer: 2, 5, 1307, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.03681 - 0.036806021. Round j to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 3*z**2 - 1. Let j be t(1). Let k = j - 4. Let q be (13 - (k + 3))*500. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + k**2 + 3*k + 1. Let p(y) = 4*y**4 - 221*y**3 - 55*y**2 + 245*y + 63. Let j(o) = -6*c(o) + p(o). What is x in j(x) = 0?\nAnswer: -1, -1\/4, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -416 divided by 208.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 22*d + 48. Put d, 1, -4, -8 in descending order.\nAnswer: d, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, -2, 18, -13, 20, 3 in increasing order.\nAnswer: -13, -4, -2, 0, 3, 18, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 2*y, -15 = -q - 5*y + 7. Suppose -5*v - 3*b = 22, 4*v + b = q*v - 8. Let a(p) = -p**2 + 4*p + 3. Let m be a(v). Which is greater: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - -1 - ((106 - 104) + 6 + -5 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -239 + 7475*y - 7502*y + 35 - 68.\nAnswer: -27*y - 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -82.41 - 457.3348?\nAnswer: -539.7448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of -7\/12*r**5 + 0 - 14*r**2 + 0*r**3 + 0*r**4 + 0*r. Let b(m) = -m. Give b(h(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y - 14. Let h be o(10). Let t = 37 + -18. Let d = t + -19. Sort h, 2, d in decreasing order.\nAnswer: 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g + 27. Suppose -2*l + 20 = 6. Let q be y(l). Let j be (-2 + q\/3)\/(1 - 0). Solve 3*w - 4 = -3*o + 2*w, j = 4*o - w - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 112831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -2  (b) 0.1  (c) -0.02  (d) -3  (e) -0.5  (f) 8  (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 2 m when four letters picked without replacement from mnnnnnmnmmmmn?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12112 - 101?\nAnswer: -12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.1 times 0.1?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*x**3 - 110*x**3 + x + x.\nAnswer: -16*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 3)*(-178*b + 51*b - 76*b)*(2*b + 2*b**3 - 2*b) to the form g*b**4 + r*b + v*b**2 + q + x*b**3 and give g.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 34 = 5*n, -9*n + 11*n = 4*q + 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717559934?\nAnswer: 2, 7, 13, 23, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 443948, 3551656, 11986862, 28413314, 55494760, 95894948, 152277626?\n\"Answer: 443958*j**3 + j**2 - j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of -33*v**5\/10 - v**3\/2 - 59*v - 49. Let u(r) be the first derivative of a(r). Find the second derivative of u(i) wrt i.\nAnswer: -396*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 8*m. Let b(t) = -10*t**2 - 7. Let k(l) = 7*l**2 + 5. Let p(x) = 5*b(x) + 7*k(x). Calculate p(u(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -2*u**2 + u. Let k be z(0). Suppose k = -5*y + 13*y. Suppose -2*w - 5*w + 28 = y. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -920630, -920628, -920624, -920618, -920610?\n\"Answer: u**2 - u - 920630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + 6. Suppose 0*l + o = 3*l + f, -4*l - 4*f + 16 = 0. Suppose -l - 7 = 3*p. Which is the closest to -2?  (a) -0.1  (b) 0.1  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*u = -5*c - 225*u + 15, -5*c + 15 = -2*u. Let w(i) = -14*i**3 - 4*i**2 + 3*i. Let q(a) = a**3 + a**2 - a. Give c*q(z) + w(z).\nAnswer: -11*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448)*-1)**2 + sqrt(2448) + 1.\nAnswer: 12*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1403, 1277, 1159, 1049?\n\"Answer: 4*f**2 - 138*f + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13\/15 + 2\/3. Let d(o) = -o**2 + 13*o + 17. Let k be d(14). Suppose -11*x + k*x = 104. Which is the smallest value?  (a) i  (b) 1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 - u - 8. Let l be i(0). Let y(w) = 59*w. Let m be y(1). Find the common denominator of -55\/28 and m\/l - (-1 - -1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88040, -88039, -88038?\nAnswer: -88037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9268)\/5 - (-6)\/(-15). Let u = -972 - s. Suppose -7*b = -u + 70. What are the prime factors of b?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 9*j**2 - 71*j + 261. What is the ten thousands digit of b(40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 344 - -283. What is the highest common factor of 57 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74858783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 364 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -792*q + 792*q + 159*q**3 + 8*q**3 + 4*q**3 + 6*q**3 + (2*q**2 + 0*q**2 - 4*q**2)*(-q - q + 4*q).\nAnswer: 173*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.301 - 3.521. What is the smallest value in -0.2, 0.56, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24910639 to the power of 1\/2, to the nearest integer?\nAnswer: 4991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 433131132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, -1, 15, -34 in descending order.\nAnswer: 15, 1, -1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 divide 4345004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2 + 1*sqrt(13) - sqrt(13))**2 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28625 - -28594. What is the fourth smallest value in 0, 9\/14, 5, r, -0.5?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8990 - 246*z - 8990)*(-3*z - z + 2*z).\nAnswer: 492*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 7*b**2 - 4*b - 2. Let n = -363 - -367. Let p(q) = -n*q**2 - 20 + 21 + 3*q + 0*q - 2*q**2. Calculate 3*l(w) + 4*p(w).\nAnswer: -3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 212 = 2*p, 4*p = -f - 0*f + 468. Let y = p + -810\/7. What is the second smallest value in y, 1\/8, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -949*a + 73077. Determine g(77).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-44)\/56)\/((-11924)\/(-24661)).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0\/x*x*x*x)**(7\/3)\/(((x*x**(3\/5))\/x)\/x**(2\/17))*((x\/(x\/((x*x**1\/x)\/x)))**(-15))**10 assuming x is positive.\nAnswer: x**(1067\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 93*s**2 + 30*s - 230. Is z(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 45 = -2*u. What is the second derivative of -13*h - 2*h**3 + 4*h**3 + u*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -397 divided by 83\nAnswer: -397\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*(1 + sqrt(13)))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*-6*sqrt(243)*-1)**2 - (1*sqrt(24)\/sqrt(4))\/(2*sqrt(200)).\nAnswer: -sqrt(3)\/20 + 314928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6721, 28128, 64235, 115048, 180573, 260816, 355783?\nAnswer: 465480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -327036 or -4251450\/13?\nAnswer: -327036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -9*b - 2. Let p be y(-1). Let s = p + -4. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -80946001*f**2 - 28786517 wrt f.\nAnswer: -161892002*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzkk when four letters picked without replacement from {z: 2, k: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 3*j = -85. Let x = -2 - -7. Let f = x + j. Solve -5*o + 2*o - f = 2*h, -o + 16 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -293007, -293009, -293011?\nAnswer: -293013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/6  (b) -1.683  (c) -2  (d) 7  (e) 6  (f) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -0.2. Let v = -216 + 219. Which is the closest to 1?  (a) -0.5  (b) v  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 267 and 100036?\nAnswer: 300108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -51*p**2 - 4*p + 5. Let s be v(-7). Let m = 1690 + s. Let q = m + 1126. What is q rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**2 - 134*o - 64. Calculate the remainder when 1436 is divided by n(-44).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22 + 0 + 39*a + 30 - 4 - 3*a.\nAnswer: 36*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of a**7\/2835 + 7*a**6\/3240 - a**5\/270 + a**4\/24 + 3*a**2. Let c(q) be the second derivative of i(q). Factor c(p).\nAnswer: 2*(p + 2)*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.25829 weeks to nanoseconds.\nAnswer: 3785013792000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-7))\/(2\/14). What is the highest common divisor of 22 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008490522 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of r**7\/525 + 7*r**6\/300 - r**5\/75 - r**4 - 24*r**3\/5 - 443*r**2. Let l(i) = 0. What is i?\nAnswer: -6, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -691.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -5*x**2 + 15*x + 7. Let b(m) = 14*m**2 - 45*m - 21. Let a(q) = 3*b(q) + 8*j(q). Let l be a(9). Calculate the highest common factor of 110 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/2)\/x)**(-28)\/((x\/(x\/x**12))\/(x*x**11)) assuming x is positive.\nAnswer: x**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-20)\/(-4)*1\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of -11*k**3 - 5*k**2\/2 + 6*k + 91. What is the second derivative of u(h) wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, -2\/7, 1.8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11, 35, 75, 131, 203, 291?\n\"Answer: 8*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 4\/373 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102093 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 2911*h - 2914*h + 4*y, 3*y = 2*h + 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 30012 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/1386*(-28)\/(-1632)*-12.\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 10:37 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -0.0053.\nAnswer: 0.00159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1169478.\nAnswer: 2, 3, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68792, -68666, -68458, -68168, -67796, -67342?\nAnswer: -66806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*l + 121*l + 14 - 14 - 36*l.\nAnswer: 122*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*-16*(-17)\/680*86\/4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2065 - 5\nAnswer: -4.7935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by 78?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25038?\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 12*c - 41. Let a be v(5). Let f be (a + 5)\/((-6)\/(-4) + 0). Suppose 900 = f*n + 2*n. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a*a**1*a))\/a*a**(1\/20)*a**(4\/3)*a\/(a**(-8)*a*a*a) assuming a is positive.\nAnswer: a**(263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/((2 - 3)\/(-1)). Let l be 0 + (q - (-80)\/(-28)). Which is the smallest value?  (a) l  (b) -4\/7  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -c**3*s + 860*c**3 + 18*c**2*s with respect to s.\nAnswer: -c**3 + 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -69170.5 to the nearest 100.\nAnswer: -69200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -998 + 18847 = 15*n - c, -3*n + 3575 = 5*c. Calculate the least common multiple of 1071 and n.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20031020223311 - 11?\nAnswer: -20031020223322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 - (14 - (10 + -37))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -558.1 + 253.2. Round q to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4615935361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 81540 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 4*o - 2*o - 32 = 0, 5*a = 5*o + 45. Let d(k) = -4*k - a*k + 3*k + 4*k. Let u(v) = 2*v**2. Give d(u(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence keo when three letters picked without replacement from {w: 2, o: 5, k: 1, e: 1}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*k**4 - 7*k**3 - 11*k**2 + 2118*k - 1055*k - 1065*k to the form i*k**2 + f + z*k + x*k**3 + o*k**4 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/173568 and -29\/7680?\nAnswer: 867840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + 8*i - 2. What is n(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-1\/5)*i)\/(i\/(i\/(i\/i**(-10)))))**29 assuming i is positive.\nAnswer: i**(-1276\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmjzii. Give prob of sequence mj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39688862\/16665 - 26197\/11. What is the common denominator of c and 25\/3333?\nAnswer: 16665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 12:56 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -2*i**4 + 2*i**2 - i - 1. Let n(b) = -b**5 - 38*b**4 + 3*b**2 - 2*b - 132. Let w(m) = 2*l(m) - n(m). What is the third derivative of w(v) wrt v?\nAnswer: 60*v**2 + 816*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*x + 0 - 12 = 33 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-2)\/(-45) + 4\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*t - 5048143 + 5037073 = 0 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n**2 - 342*n + 6437608 = 0. Calculate n.\nAnswer: -2714, 2372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108, -3\/4, 4\/7, 2, 10 in descending order.\nAnswer: 108, 10, 2, 4\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 76  (c) -122  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -341 + 126?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*w - 23 = -6*d, 2*w + 7 = 5*d. Let k(q) = 4*q**2 - 5*q + 3. Let f(a) = -5*a**2 + 6*a - 4. What is d*k(u) + 2*f(u)?\nAnswer: 2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/6, 7.67, 38.2 in descending order.\nAnswer: 38.2, 7.67, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -36*v**2 - 99*v + 50. Let b(h) = -5*h**2 - 14*h + 7. What is 15*b(q) - 2*w(q)?\nAnswer: -3*q**2 - 12*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) + (sqrt(80) + -1*sqrt(80) + sqrt(80))*1 + 0 + sqrt(80)*2 - (1 + sqrt(80) + -1 - (sqrt(80) - -5*(0 + sqrt(80))))*4) + -1)**2.\nAnswer: -192*sqrt(5) + 46081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 277 + -168. Let k = q + -72. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -z**5\/40 - 43*z**4\/24 - 97*z**3\/6 - 38*z**2 + 1074*z. Factor u(m).\nAnswer: -(m + 1)*(m + 4)*(m + 38)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7*s = 288. Suppose s = 36*x - 28*x. Solve -5*j + x*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 11:22 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4916 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34481.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -200  (b) 2\/5  (c) 0  (d) 0.2  (e) 16\/323  (f) 14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-456)\/(-21) - (8\/(-28))\/1. Calculate the greatest common factor of a and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*n + 4. Suppose -4*l - 5*y + 3*y + 4 = 0, n*l = 3*y + 16. Suppose j - l*r = 8, j + 3*r = -r + 26. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(3146) - 5*(sqrt(3146) + (sqrt(3146) - 3*sqrt(3146)))) + sqrt(3146)))\/((-2*(-3*sqrt(72) + sqrt(72)) + sqrt(72) + sqrt(72))*5).\nAnswer: 77*sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 82732 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s - 3*s + 4*s - 2 - 2*s. Let g be y(-4). Let k = 11 - g. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.9 - 3.4. Let r = 151 - 150.99. Let m = -0.12 + -0.88. What is the closest to r in m, c, 2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(1\/14))**(-27) assuming r is positive.\nAnswer: r**(-351\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-7) + 1 - 1232\/1078)\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 3*v + 50 + 31, -51*m + 2*v = -55*m - 66 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1083040, 1083028, 1083002, 1082956, 1082884, 1082780, 1082638?\n\"Answer: -l**3 - l**2 - 2*l + 1083044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 17*d**3 + d - 1. Let u be r(1). Let y = -10 + u. Suppose -25 = -4*i + 6*z - 3*z, 3 = 3*z. What is the greatest common factor of y and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3313 is divided by 1092?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383928 is divided by 232?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 AM and 2:56 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 231552619.00000102 - 231552621. Let n = -98 - -100. Let v = n + z. Round v to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32709?\nAnswer: 3, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 60579 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnqnnnnnnnnn. What is prob of picking 3 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8021520 divided by 1872\nAnswer: 4285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (9 - 5)) + 21 + -32.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -175581.4 rounded to the nearest 100?\nAnswer: -175600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -17*d**2 + 274*d + 84. What is u(17)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108 * 0.02.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5\/9))**(-40)\/((c\/c**(-14\/5))\/(c*c**(-3)*c)) assuming c is positive.\nAnswer: c**(784\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6 + (-57)\/38 - -7. Solve k*x - 40 = 4*a, 2*x + 2*x = -3*a + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*j**3 - 2*j**5 + 3*j**2 + j**2 + 0*j**5.\nAnswer: -2*j**2*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -14 and 13.7.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -3*d - d + w, -d + 5 = 5*w. Find the first derivative of -3*o**2 + 0*o**2 + d*o**2 + 2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (257\/(-771))\/((-6)\/(-180))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -2*p. Let w = -4 - -6. Suppose 3*y + 0 - 12 = 0. Let v(n) = y*n + 0*n - w*n. Calculate v(l(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1058205?\nAnswer: 3, 5, 19, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2*f*f**19)\/(f*f*(f\/f**(7\/2))\/f)**19 assuming f is positive.\nAnswer: f**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -13) + -18 + -7 - (4 - 18) - 56.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 9*g**2 - 1. Let y be r(1). Suppose 8*f - y = 6*f. Are 4 and f nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44436, -46911, -49360, -51771, -54132, -56431, -58656, -60795?\nAnswer: -62836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -35, 35, 193, 469, 893, 1495?\nAnswer: 2305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39 or 6776?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.8 - -21.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/14?  (a) 0  (b) 4  (c) 2\/7  (d) 684\/17  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 + 747*h - 41334.\nAnswer: -3*(h - 166)*(h - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30694*f**3*x - 201*f**3 + 2*f**2*x - 355*f**2 + 6*f*x + 8*f - 33*x wrt f?\nAnswer: 184164*x - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8.9 - -1.67.\nAnswer: -7.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -36, -162, -368, -654, -1020, -1466, -1992?\n\"Answer: -40*a**2 - 6*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 107 = 5*p, 0 = -v + 6*p - 2*p + 46. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 92738134216621 and 2?\nAnswer: 92738134216619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9379 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (1 - (-2 - -5)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.32, -0.002, 61?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, t: 1, z: 2}. What is prob of picking 1 t, 1 z, and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.189 - -0.011. Let j = -64 + 34. Let s be (-22)\/j + (-2)\/5. Which is the nearest to w?  (a) 4  (b) 2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -398687 (base 11) to base 15\nAnswer: -c58e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(245) + sqrt(245))*3)**2.\nAnswer: -252*sqrt(5) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 22004301 (base 6) to base 10\nAnswer: 654157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5078*k + 5107*k = 841. Let w(c) = -5*c - 7. Let s be w(-7). Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Product of 36 and -0.4823.\nAnswer: -17.3628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20020 - 11?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1044, 2098, 3152, 4206, 5260?\nAnswer: 6314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2554.5 rounded to the nearest 10?\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 26126193?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from lkonr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 275 - 277 = -7*q. Let f be 54\/10 + (-2)\/5. Let p(z) = -3*z - 3 + f + z. What is p(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/31)\/j)\/j)\/j*j*j*j\/j**(-5\/6)*(j**14)**(1\/3) assuming j is positive.\nAnswer: j**(339\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.701, 4, 1\/7, 1 in increasing order.\nAnswer: 1\/7, 1, 1.701, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -244 - -248. Suppose -3 = -b - 2*b. Put b, -1, m in ascending order.\nAnswer: -1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/920 and 103\/12.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -40061 - -1041?\nAnswer: -37020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 3*p**2 + 4*p + 2. Let z be h(-4). Let f be 4 + 4\/((-40)\/10). Suppose 48 - 33 = 3*j. Solve -z*m = -f*m - j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**2 - 2*j - 3. Let l(h) = 20*h**2 - 5*h - 9. Determine -4*l(c) + 11*q(c).\nAnswer: -3*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 8 = j. Find the second derivative of -2*f**3 - j - 3*f + 8 wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 121902 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (-2 - -3) - 4. Let o be q - (-2 + 3)*-1. Let z(i) = -2*i - 1. What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*b + 121 + 131 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -16, -13, 4, 41, 104?\n\"Answer: g**3 + g**2 - 7*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 690 * 0.093998\nAnswer: 64.85862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhuhhhhhhhhhhuuhu. Give prob of picking 2 u.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 32 - (-51 + (143 - 52))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1, 3, 25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 276452, 552955, 829466, 1105991, 1382536, 1659107?\nAnswer: 1935710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 + -29. Let y = -5.03 + 0.03. Sort y, -2\/7, j in ascending order.\nAnswer: y, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-1)*(1 - 11). Let g be 2*3\/10*t. Solve i - g = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.17, -2\/9, 65, 43, -5, 1 in descending order.\nAnswer: 65, 43, 1, -0.17, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33827\/4 less than 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*p**5 + 15403*p**3 + 2866719*p wrt p?\nAnswer: -260*p**3 + 92418*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*p + 409162 - 409162.\nAnswer: -49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - 8\/(-3 - -1). Solve -v*n = -5*c + 7, 5*c + 2*n + 3 = 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence quu when three letters picked without replacement from {w: 5, g: 3, q: 2, u: 2, s: 6}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 519.4436 - 0.6436. Let t = v + -308.7. Round t to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 126, 302, 552, 876?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 379555\/18 - 21080. Calculate the common denominator of -41\/16 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 - 14*r - 86 - 4*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 96 + 4\/3*i - 5\/4*i**2 + 1\/24*i**4 + 1\/3*i**3. Determine l so that n(l) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1853673, 1853675, 1853677?\nAnswer: 1853679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-5))\/((-8)\/(-30)). Which is the nearest to -0.1?  (a) 2\/9  (b) -0.31  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 8804880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 72*i + 116. Determine f(74).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47.1 + -46.867. Let y = -0.297 - c. What is y rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + -8. Let g be ((-24)\/(-16))\/(3\/(-6)). Sort p, 2, g.\nAnswer: g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 90*d**2 + 282*d - 283. Let n be q(93). Let t(w) = -4*w**3 - 17*w**2 - 5*w - 2. Determine t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (342141\/150774)\/(2\/104)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 4*y - 469, 4*y - y - 3 = 0. Is 37 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 497 and 1065.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -3*b**5\/10 - 5*b**4\/8 - b**3\/2 - b**2 + 4*b. Let t(i) be the first derivative of a(i). Let t(u) = 0. What is u?\nAnswer: -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (1 + 6 + -5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 31759 and 177100.\nAnswer: 803502700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the first derivative of 1\/4*v**4 + 36 - 6*v + 2\/3*v**3 - 5\/2*v**2. Factor r(c).\nAnswer: (c - 2)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -4*o**5 + 9696*o**4 - 113464*o**3 - 28722144*o**2 + 28825916*o = 0?\nAnswer: -49, 0, 1, 61, 2411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 298513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 94345327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-7) + (-33)\/77. Suppose -8*o - o + 3933 = g. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 3 - -1)\/(-1). Let l(n) = 587*n - 1. Is l(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**1*f*f**(2\/9)*f)\/((f\/(((f\/(f\/(f**(2\/3)*f)))\/f)\/f)*f)\/(f*((f\/f**(-6))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 - -1.1. Let l = 2 + -7. Which is the second biggest value?  (a) l  (b) u  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (59*528\/54516)\/(548*(-1)\/14*1)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195 + 382 = -38*k - 116 - 191 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - 256. Let a = 299 + u. What is the remainder when 142 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 501141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - z + 4 = 14, 20 = 5*f - z. Let v be (-4)\/f*45\/18. Put -4, 4, -3, v in ascending order.\nAnswer: -4, -3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1221, -1222, -1223, -1224?\n\"Answer: -i - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 251107.0772 to the nearest one thousand.\nAnswer: 251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c + -2937?\nAnswer: -291a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -3  (b) -2  (c) -18  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6640 and 2075?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 10*i**2 + i + 12. Suppose 11*p - 120 = -p. Suppose -2*j - 10 = p. Let m be z(j). Solve 0 = -h + m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37152305317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 + k**2 - 2*k**2)*(-k - 3*k + 5*k + 7*k - 11*k + 9*k + 2 + k - 2 + (0 + 1 + 0)*(0*k - 4*k + 0*k)).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v - 3*v + 12*v - 5*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 7. Let n = z + 1. Is 14 a factor of 114\/4 + n\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p + 1. Let a(o) be the first derivative of -o**2\/2 + o + 1. Suppose -2*w + 14 = -5*n, -2*w = -n + 12 - 10. Determine w*a(g) + q(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 32 = 112. Let a = -12 - w. Calculate the least common multiple of a and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*q = 2546. Let x be q\/(-2) - 4\/8. Suppose -6*j + x = 24. Calculate the highest common factor of j and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4897 less than or equal to -4897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fjpj when four letters picked without replacement from {f: 3, j: 2, o: 1, p: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1090186 - -508748. Let j = a - 1598878.00004. Let c = -56 + j. What is c rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(20 - 18858\/945).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t + 5*t - 5*t)*(-1007*t**2 + 2*t + 1011*t**2 - t).\nAnswer: 8*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 174*i**2 - 3*i - 8. Let d be f(4). Suppose 16*s + d = 20*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 623.6672ng?\nAnswer: 0.0006236672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 729 + -729.0033312. Round g to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/1 + 2 - (-13 - -16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -676946510*p**4 + 6*p**2 + 19390055*p wrt p.\nAnswer: -16246716240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 158 divide 152470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 1 = 6*x - m, -9 = -3*x + m. Put -2, -14, -5, x in decreasing order.\nAnswer: x, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 - v - 5. Let f be p(5). Let k = -929 - -947. Is (k\/f)\/(3\/55) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/404 and 67\/16716.\nAnswer: 1688316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -21*v - 814. Let p be h(-39). Let w(m) be the first derivative of 2\/5*m**p + m**4 - 7 - 1\/3*m**6 + 0*m + 0*m**2 + 0*m**3. Factor w(b).\nAnswer: -2*b**3*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 8) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 616 + -490 - ((-5 - -2) + 40)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {z: 2, g: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + -2. Let h be 1*(j + 0)*-1. What is the third biggest value in h, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74427 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000083985836 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 334802908 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lijiifjfzziizlf. Give prob of picking 2 j and 2 l.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4.507, -20, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of 6*n**5\/5 - 11*n + 12. What is the first derivative of d(a) wrt a?\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 5\/2*y**3 + 0*y + 5*y**2 - 3\/35*y**7 + 0*y**6 + 0*y**4 + 0 + 0*y**5. Find the first derivative of p(g) wrt g.\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57467 rounded to the nearest 100?\nAnswer: 57500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 7*f = 0. Let t(c) be the third derivative of -1\/12*c**6 + 0 - 7\/3*c**4 - 4*c**2 - 8\/3*c**3 + f*c - 11\/15*c**5. Suppose t(s) = 0. What is s?\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 456832 by -2656.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 11. Let x be (-2)\/(-7) - n\/(-21). Let p = -19 - -19.3. What is the smallest value in 0.2, p, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 - 4*a**2 + 4*a**2)*(3*a**3 - 8*a**3 + 4*a**3) - 4 + 4 - 5*a**5.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 59\/(17051\/34) + (-5)\/(255\/6). Solve -36*t + 285 - 33 = j for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = l - 1, 8354 = -31*l + 4*n + 8385 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the second derivative of 8*b**3 - 13\/3*b**4 + b + 2 + 0*b**2. What is the second derivative of w(k) wrt k?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1111000010111110101 (base 2) to base 6\nAnswer: -14322341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6849539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -31140\/87967 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 18041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -5*x**6\/3 + 48*x**5 - 279*x**4 - 7208*x**3\/3 + 8427*x**2 - 628*x - 3. Let j(i) = 0. Calculate i.\nAnswer: -3, 1, 53\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55422122?\nAnswer: 2, 7, 59, 229, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -12*y**2. Let l(m) = -6*m. Let b(a) = -6*a. Let s(o) = 3*b(o) - 2*l(o). What is s(z(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29232665?\nAnswer: 5, 7, 11, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 - 3*d + 3*d + (8*d - 2*d - 3*d)*(d + 0*d + 0*d) + (-d**2 - d**2 + d**2)*(1 - 2 - 1) + 2*d**2 + 3*d - 3*d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 4*y - 10. Let p = y + -24. Let c(n) = -n**2 - 16*n - 9. What is the tens digit of c(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*3 + 2\/(-5)*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 62 (base 16) to base 11\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-7))\/(20135\/563780)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v + 2. Let y be w(5). Let o(f) = -f**2 + 8*f - 3. What are the prime factors of o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -250*x + 63182 + 248*x - 7*x**2 - 62748 as k + n*x**2 + m*x and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 69141 and 605397?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(1300) - ((sqrt(1300) + sqrt(1300) + 2 - sqrt(1300)) + sqrt(1300) - sqrt(1300)) - sqrt(1300)))**2.\nAnswer: 360*sqrt(13) + 11736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes after 1:17 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 126 + -379\/3. Sort b, 3\/10, -1, -2\/3 in ascending order.\nAnswer: -1, -2\/3, b, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -186 - 14. Let u = m + -47. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*k - 298 + 85 = 132 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5 = -5*c, 12 = -3*u + 7*u + 4*c. Suppose -5*a = -4*a - u. Suppose -5*o - r = -21 - 24, -a*o + r = -55. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.65 + -230759.7.\nAnswer: -230758.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, t: 1, r: 3, u: 1, q: 3}. Give prob of sequence fqrf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 882419 + 281*j - 882419 + j**3.\nAnswer: j**3 + 281*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r - 8*r + 17*r - r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 111 and 777.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28416 + 2756316\/97. Is w less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 25 - 1 = 0. Suppose 3*a + 0 = o. Differentiate 8 + a*c**4 + c**4 - 5 wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of c**4\/12 + c**3\/3 - 309*c. Give v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 8:27 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -56, -25, -3 in decreasing order.\nAnswer: 3, -3, -5, -25, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f - 12*f**3 + 10*f**3 - 2*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3974*h**2*u**2 - 1398*h*u**3 + h - 2*u**3 + 2988253*u**2 with respect to h.\nAnswer: -7948*h*u**2 - 1398*u**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2030)\/580 + (-107)\/(-18))*27?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 a when four letters picked without replacement from caasszzsnsnoazszsaas?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7 or -2\/1105?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7223436 - 17014*n**3 + 7223436.\nAnswer: -17014*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 8*v**2 + 2*v + 45. What is g(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide -2*4\/(-2)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 134 - 134. Let x = -5.99 + 5.89. What is the nearest to 10 in x, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 + 2*a + (41 - 44 - 83)*(-89 + 11*a + 89) in the form c*a + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 + 1 - 1)*(-3 + 4 + 0) + 0*k - k**2 + 0*k - 60*k**2 + 92*k**2 - 147*k**2.\nAnswer: -118*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 31475 - 20870. What is the greatest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*q**3 + 40458*q**2 - 40458*q**2 + 18 as x + u*q**2 + w*q + k*q**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 90 - 82 - ((0 - -1) + 10) - -46\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c**3 - 8 + 8 + 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 3  (c) -1\/2  (d) 2  (e) -101  (f) 3\/4  (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37?  (a) -3  (b) 3  (c) 2\/47  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 51\/12 - 7\/28. Suppose 0 = 3*t - 3*j - 9, -b*j + j = -6. Suppose t*v - 46 = -11. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -4*p + 47. Let a be -5*(1 - p\/5). Let t be 0 + a + (-6)\/(-2). Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 71?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*m - 25 = 41*m. Let j be 324\/(-816) + ((-15)\/4)\/(-5). Suppose -3*u - 3 = -d, -3*d - 8 = -2*u + d. Sort j, u, m in increasing order.\nAnswer: u, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2368?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/49)\/(d*d**(-9)\/d)*(d**8*d)\/(d**(-1\/3)*d) assuming d is positive.\nAnswer: d**(2542\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1 and -6.1?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 9:23 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13247 and 52?\nAnswer: 52988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -43, -202, -461, -814, -1255, -1778?\n\"Answer: o**3 - 56*o**2 + 2*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 18051527?\nAnswer: 18051528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 8153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 - 4.71\nAnswer: -4.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express k**2 - k**3 - 4*k**2 - 2*k + 2*k**2 + 0*k**3 in the form c*k**3 + u + o*k + g*k**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(3 + (sqrt(32) - sqrt(224)\/sqrt(7))**2) + (sqrt(2048)*2 - ((sqrt(320)*2 + sqrt(320))\/sqrt(10))**2))*-3 + 1.\nAnswer: -192*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 j when three letters picked without replacement from jhijhpa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -86 + 9*n - 2*n**4 + 86 + (3*n - 3*n + 2*n**3)*(-2*n + 6*n - 2*n) as q*n**3 + d + b*n**2 + m*n**4 + w*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -9*j + 251. Let c be o(-3). Differentiate c + 0*r + 4*r - 19*r - 21*r with respect to r.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0786 + 351.9214. Let a = m - 351.6992. Let v = 0.3 - a. Round v to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20980\/(-8265) - 32\/304 - -3. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 62 and 12079070?\nAnswer: 374451170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 30 = -10. Let j be (5\/(-2))\/(5\/u). Let n(c) = -3 - c**2 + 5 + 3*c + j*c**2. Let p(z) = z**2 + z. Determine -n(q) + 2*p(q).\nAnswer: -2*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 264 and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31960968*q**5 + 39074274*q**2 wrt q.\nAnswer: 1917658080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*y - s, y - 4*s - s = -1. Let m be (4 + (4 - y))\/(-1). What is the smallest value in 2\/15, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 39 - 39. What is the third biggest value in w, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122011223123 (base 4) in base 10?\nAnswer: 6839003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a**1\/a)*a*a**0)\/(a*(a\/(a*a**(2\/5)))\/a*((a\/(a**(-3\/4)*a))\/a)\/a) assuming a is positive.\nAnswer: a**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 103027645 and 61816587?\nAnswer: 309082935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2035*z + 418. What is the tens digit of v(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4 = 1. Suppose -2*i = -i - j. Let r = 4 + 1. Solve -r*h - 6 = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 17*l. Let t be w(17). Suppose 0*y + 2*y = t. Solve v = -u - 3, 0 = -2*u - y*u + v - 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -64\/7?  (a) 5\/14  (b) -2\/3  (c) 2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m + 136290 = 85*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -13*o**2*r - 3*o**2 + 207*o*r**4 + o - 13 wrt r?\nAnswer: -13*o**2 + 828*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -135210122345 - 3?\nAnswer: -135210122352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 1.9. Let f = -0.2 - -0.6. Let h = b - f. What is the biggest value in h, 2\/9, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**3 - 4*m**2 + 4*m - 6. Let c be z(2). Which is smaller: c or -0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*s = -38*s - 165 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -452 + -1386241.\nAnswer: -1386693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 1240, 2\/9, 0 in descending order.\nAnswer: 1240, 2\/9, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11414 (base 12) to base 6.\nAnswer: 254424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 4*t**2 - 2*t**2)*(-3 + 3 + t) + 2*t**3 + 4*t**3 - 4*t**3 + 75*t**3 + 446*t**3 - 89*t**3 - 2 + 2 - 2*t**3 + (-t + t - t**3)*(-5 + 3 + 1).\nAnswer: 434*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 3*o**2 + 2. Let u(a) = -a**3 - 3*a + 43. Calculate 2*p(g) - u(g).\nAnswer: g**3 + 6*g**2 + 3*g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*b + 2*r = 23 - 101, 0 = b + 2*r - 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**4\/6 + 25*w**3\/6 + 28*w**2 + 24*w = 0. What is w?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(81)*2*4)\/(sqrt(108) + sqrt(108)*1*5) + -2.\nAnswer: -2 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(216)*-2)\/sqrt(12) + sqrt(288) + sqrt(288)*2)\/(sqrt(144)*-1 + -5*(sqrt(9) - sqrt(36)\/sqrt(4))).\nAnswer: -5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -2*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 312*u - 9522. Give m(-340).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n**3 + 1106086*n - 1106086*n.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -38631, -38489, -38347, -38205?\n\"Answer: 142*n - 38773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 8688*p - 642. Let r(b) = -1738*b + 129. Let f(z) = 11*r(z) + 2*w(z). Is f(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -g**5\/30 + 883*g**4\/3 - 3118756*g**3\/3 + 4556*g**2. Factor c(r).\nAnswer: -2*(r - 1766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 8 + -10 - (-7 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/3)\/((-9)\/(-81)). What is the highest common factor of l and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -965*d + 972*d - 16107 = 0. Calculate the remainder when d is divided by 256.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2824668 or 2824669?\nAnswer: 2824668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 8, 3, -1 in decreasing order.\nAnswer: 11, 8, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a + 7. Let d(n) = -n**3 - 7*n**2 - 4*n + 12. Let f be d(-6). Let j be p(f). Suppose 17 = j*b + 3. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence je when two letters picked without replacement from oemyj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106 + 269 = -375*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**2 - 486101*y = 0.\nAnswer: 0, 486101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/3)\/15)\/(1\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*f + 486 = -54*f. What is the smallest common multiple of 108 and f?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -18 + 16.6. Let q = -2 - h. Let l = q - -1.1. Which is the nearest to 0?  (a) 0  (b) l  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 1. Let t(j) = -18 + 5*j**2 - 21*j**2 - 13*j**2 - 4*j**2. Determine 18*n(r) - t(r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8\/(-10)*-8083 + (-1)\/((-125)\/75)?\nAnswer: 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2255?\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -47 - -7872?\nAnswer: 7829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 2)*(-3*y + 2*y + 2*y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**3 - 28*k**2 - 16*k - 8. Let v be o(-13). Let a(u) = 35*u + 7. Let g be a(7). Let m = g + v. Round m to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 10*m + 67. Let s be o(-7). Let h(i) = -i**2 - 30*i - 71. Let c be h(s). Solve -4*l + c = -3*z, -2*z + 4*z = 4*l - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 0*q + 8. Let m = 1623 - 1622. What is the nearest to m in 1, q, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 5*h = -6, -v + 4*h = 6*h - 1. What is the highest common factor of 63 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -38711667 - -5?\nAnswer: -38711662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 PM and 9:31 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1172 = -4*j - 4*a, 1374 = 4*j - 2*a + 190. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19721 by -25.\nAnswer: 19721\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -9, -2*a + 2*s - 4*s = -4. Let h = 3068 + -3067.8. What is the nearest to -3.5 in -2\/5, -4, a, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -26 + a02?\nAnswer: 9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363)*-1*-4)**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 513*g**2 + 511*g**2 - 2557*g**2 + 508*g**2 + 508*g**2 + 513*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 15 = c. Let t be ((-24)\/15 - -2)\/(3\/(-30)). Let a = 3 + -1. Put t, c, a in decreasing order.\nAnswer: c, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -b**3\/10 + 12491*b**2\/10 + 8748*b + 37494\/5 = 0?\nAnswer: -6, -1, 12498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -437542 divided by 3\nAnswer: -437542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 6. Let w(b) be the second derivative of b**3\/6 - 7*b**2\/2 - 35*b. What is w(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14466, 28930, 43406, 57900, 72418, 86966, 101550?\n\"Answer: x**3 + 14457*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -65945 by -13189.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zmomcyyzmymp. What is prob of sequence myom?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 751585 and 60550.32?\nAnswer: 691034.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -8. What is the remainder when ((-54)\/45)\/(3\/c) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9555254*f**3 + 10915118?\nAnswer: -28665762*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1950*o**3 + 1972*o**3 - 3880*o**3.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(396) + 0 - sqrt(396)*1*6)**2 - ((sqrt(396) - (sqrt(396) + -2 + -5)) + (-3*-1*sqrt(396))**2).\nAnswer: -60*sqrt(11) + 6330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 = 5*g - 75. Let f = 354 + g. Suppose -12*p + 9*p = -f. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 41*b**3 + 182*b**3 - 2221 + 17*b**3 wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, 1\/76, 2 in ascending order.\nAnswer: -4, -1, 1\/76, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -42\/19 - -1253\/627. What is the common denominator of g and -52\/141?\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 7*t + 20. Let a be (268\/34 - -8) + 24\/204. Suppose a = -t*d + 3*d - 4*o, -33 = -2*d + 5*o. Solve d*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**3\/5 - 59479*q**2\/5 + 28843121*q\/5 - 3482594841\/5 = 0. What is q?\nAnswer: -59961, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2446111.\nAnswer: 113, 21647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k**2 + 4*k**2 + 1 - 6*k**2 + 4*k**2 - k to f + w*k + z*k**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3100 = w, 2*w = 3 + 5. Let j = 1118 - r. What is the highest common factor of 43 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**3 - 2 - 2*c**2 - 5*c**2 + c**3 as o + q*c**3 + m*c**2 + j*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -29*l**2 + 724*l + 383. Determine r(26).\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -2\/3  (c) 16069819\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 77911987 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52 divided by -442177.\nAnswer: -52\/442177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 27*g**2 - 50*g - 69. Calculate k(29).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16507.\nAnswer: 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 23 + 7 = 0. Let z be (-61)\/36 + -2 + u. Let b = -5\/9 + z. What is the third smallest value in b, -5, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k. Let g(s) be the second derivative of 785*s**4\/6 - s**2 - 7*s + 16. What is g(x(l))?\nAnswer: 6280*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 - (48\/20 - (-2)\/(-5)). Let t be (-2 - 498)\/(6\/(-6360)*o). What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence msm when three letters picked without replacement from smssssssmssss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 11:59 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -190 - -189.5536. Let y = o + 0.783. Let q = y + -0.34. Round q to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-20256)\/72)\/(2\/(-6)). Suppose a = -34*w + 36*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 2*k**3 + 6*k**2 - 7*k + 3. Is i(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*f**5 + 110*f**4 - 452*f**3 + 536*f**2 - 116*f - 70 = 0. What is f?\nAnswer: -1\/4, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2. Suppose 0 = 2*k + 3*l - 13, -4*k + 3 - 1 = -2*l. Let m(o) be the second derivative of -3*o**3 - 442*o**k + 23*o + 442*o**2. Give i(m(j)).\nAnswer: 648*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 0 - (-8 + 18 + -18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -720874994 equal to -720874994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (4\/12)\/((-2)\/(-10446)) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2a - -c169c4?\nAnswer: c169ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 84 - 80. Solve 2*a = -10, -2*a = -0*j + i*j + 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16868399, 33736794, 50605189, 67473584?\nAnswer: 84341979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -3\/61  (b) 7\/8  (c) 3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*s - 138 = -21*s. What is s rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -761039 by 479.\nAnswer: -761039\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 44095100 to the power of 1\/2, to the nearest integer?\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1*sqrt(171) + sqrt(171) - sqrt(171)) - (sqrt(171) - 5*sqrt(171)*1))\/((sqrt(108) - (sqrt(108) - (sqrt(108) - -2*sqrt(108)))*2)\/sqrt(12)*-1).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 154, 122, 92, 64, 38, 14, -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(6300) + 5 - (2*sqrt(350) + sqrt(14) - sqrt(14))\/((sqrt(24)*-2)\/sqrt(12)))**2.\nAnswer: 1550*sqrt(7) + 168200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -775134608184.2 and -0.2.\nAnswer: -775134608184.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 6*g**2 - 2*g + 7. Let t(y) = 53 + 17*y - 8*y - 3. Let j be t(-5). What is f(j)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*h - 148 = 376, 1585 = 3*t - 4*h. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8728 - 8615. Solve r = -18*z - 13 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -25898, -25870, -25846, -25826?\n\"Answer: -2*s**2 + 34*s - 25930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 6*l - 4*r + 24, 4*r = 4. Suppose -3*g - 4*u = u - 45, 4*u - 12 = 0. Suppose x = 6*x - g. Which is the third smallest value?  (a) -0.4  (b) l  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 30  (b) 0.3  (c) -0.2  (d) -5\/4  (e) 0.382  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - (157 - 118)) + -126.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-48)\/(-32)*16\/3. What is the thousands digit of 3\/9*5206 + f\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3671?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 78.42481mm?\nAnswer: 0.00007842481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -43  (b) -3\/7  (c) 0.7  (d) -5  (e) 5  (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14904 and 13723992?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 78 + -84. Calculate the remainder when (-194)\/(-6) - 4\/h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*s - 83*s + 6 = 2*d, -4*d - 2 = s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 44581072?\nAnswer: -44581074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 57783151?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 3*m = 27, 5*u - 3*m = m. Let i = u + 30. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(1088) - (1 + sqrt(1088) + -3)**2)*-2.\nAnswer: -80*sqrt(17) + 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 7:28 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 - 113 = -3*a, -2*k + 6 - 86 = -0*k - 5*a + 62 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 18919*g - 329. Let i(h) = -28379*h + 461. Calculate 7*f(l) + 5*i(l).\nAnswer: -9462*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g + 18*g = 4. What is the smallest value in 0.3, g, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*z**2 + 139*z - 23.\nAnswer: -(z - 23)*(6*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 13, -252, 0.2, -25, -5, -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.29  (b) -10  (c) 1\/38029\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -9046, -9005, -8936, -8839, -8714?\n\"Answer: 14*z**2 - z - 9059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*q*t**2 - 334*q*t + 9802787*q + 901*t**2 - t with respect to t.\nAnswer: 8*q*t - 334*q + 1802*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + -1 + 11 + -11. Let s(d) be the first derivative of -1\/5*d**5 - t + 0*d + 0*d**2 + 2\/3*d**3 + 0*d**4. What is the third derivative of s(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28\/(-420)*-250*(-321)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 632 + 2*r**2 - 168 - 234 - 230 - 4*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/9)\/((-2)\/195). Let k be (-25)\/x - (-2)\/8. Sort k, 2, -2 in increasing order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -105 + 13. Let v = w - -95. Solve -2*s = v*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40731016.22299723 + -40731016. Let v = -0.223 + g. What is v rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = x + 16, 4*d = -4*x + d + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*k**2 - 4*k**2 + 8*k**5 + 2*k**5 + 6*k**5 wrt k?\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.09822 and -1.1963?\nAnswer: -0.117500586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -255*l**4 + 3066*l**3 - 9252*l**2 + 216*l = 0. Calculate l.\nAnswer: 0, 2\/85, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -326*t + 14. Let o be c(-1). Let q be ((-2)\/5)\/((-8)\/o). Solve -s + 4*s - 17 = 4*z, 3*z + 2*s = -q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/15)\/(-4)*90\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 221409 and 18396?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, c: 2, d: 5, e: 3, k: 3}. What is prob of sequence sd?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13)*-2)**2*3 + 2.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*u - 2*u**2 - u**4 + 0*u**4 - u**3 - 5*u + 2*u to i + l*u**4 + f*u**2 + p*u**3 + d*u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p**4\/5 + 93*p**3\/5 + 879*p**2\/5 + 2187*p\/5 + 1404\/5 = 0.\nAnswer: -4, -3, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -2. Suppose -4*q + 7*q + 69 = k. Let l = -16 - q. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ysrs when four letters picked without replacement from {s: 2, v: 2, y: 1, b: 1, r: 1, f: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 204 - 183. Let m be 1 + q - (-3)\/((-1)\/(-1)). Solve 3*c - m = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from canxxax.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, -4, 90, 0.06, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 7:23 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 6*q**2 + 6*q - 8. Let a be r(5). Let j be (-4)\/8*(a + -1). Let n(i) = 14*i**3 - 3*i. Does 16 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -30, -17, 12, 63, 142, 255?\n\"Answer: p**3 + 2*p**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes before 1:21 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 269 - 267. Factor 2*m**v + 14*m - 496 - 2*m**2 + 508 - 2*m**3.\nAnswer: -2*(m - 3)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -15464623 + 13?\nAnswer: -15464610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -w + 2*d, 0 = 2*w + 6*d - 8*d + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 267*o**2 - 24*o**4 - 91*o**2 - 48*o**2 - 4*o**5.\nAnswer: -4*o**2*(o - 2)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-2 - (0 + -1)). Let n be 3 - ((-4 - d) + 3). Find the third derivative of -2*a**6 - 2*a**2 + 0*a**6 + n*a**6 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 32530 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-7)\/(-35)*0)\/(-2). Suppose q = -8*x - 7 - 9. Let a(k) = 12*k - 2. Give a(x).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fevffffvsssevffffp. Give prob of picking 1 v and 1 e.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 73859659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369731 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*a + 2*a, -4*d - 4*a - 4 = 0. Suppose -7*u = -d*u. Suppose 6*h + 2 - 26 = u. Solve 6*i = i + 20, l + h*i - 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22*h*p**3 - h*p**2 + 3*h*p + 11*h + 99 wrt p?\nAnswer: 66*h*p**2 - 2*h*p + 3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9197*a**3 - 11397*a**3 + 20591*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, c: 4, p: 1, k: 5, x: 2}. Give prob of sequence xc.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11108*b + 33315*b - 11117*b - 11105*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-5 + (-68)\/(-8))\/(11\/1122)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -3*h + h - a, 3*h - 6 = 5*a. Let b be h\/6 - 3\/(-3). Factor -1\/2*g**5 + g**3 - b*g**4 + 0*g + 0 + 0*g**2.\nAnswer: -g**3*(g - 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*y - 34 = -60*y - 199. Solve y*c + 21 = 2*q - 0*c, 2*q - 4*c - 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18964 - -417117\/22. Find the common denominator of -91\/426 and t.\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 1 + 0 + 0 + 5 + 6*g. Let o = -13 + 19. Let x be l(o). Round x to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 0, 26, 94, 222, 428?\nAnswer: 730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1061695 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - r**2 + 1. Let x = -110 - -111. Let u(q) = -2*q**3 + q**2 + 2*q - 1. Determine x*u(m) + n(m).\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*-2*(-7 - -5). Let b be (1 - 4) + i + 0. Is b < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4038498.38 to the nearest one thousand.\nAnswer: 4038000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 281 + -294. Let b(z) = -z**2 - 14*z - 7. What is b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7\/70190466 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 + -90. Let r = z - -199. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 1919 = m, -3*z - 3*m = -1779 + 336. Find the common denominator of (-145)\/12 + (-8)\/(-12) and -2 - (-3086)\/z - (-34)\/255.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1827 and 893693?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1994*y**2 - 3974*y - 125. Let o(f) = f - 25. Let j(q) = m(q) - 5*o(q). What is the second derivative of j(v) wrt v?\nAnswer: -3988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 54*z - 2318. Determine l(43).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 15\/(-175)*-7. Which is the biggest value?  (a) r  (b) -0.01  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001979209 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/(-12))\/(132\/(-1584)). Let j(h) = h**3 + 5*h**2 - 5*h + 6. Calculate j(c).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1546 - 1546 - 129*s)*(2*s - s - 3*s)*(2*s**2 - 2*s**2 + 3*s**2) to l*s + q*s**3 + h + r*s**2 + p*s**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1)\/w**(-10))\/((w\/w**(-2\/21))\/w*(w*w*w**(2\/39))\/w) assuming w is positive.\nAnswer: w**(2144\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 15*w**2 + 0 + (0 + 0 - 1)*(w**2 - 4*w**2 + w**2) + 1 - w**2 - 1 - 4*w + 0*w**2 - 2*w**2 + w to v*w + j + a*w**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pmmpmmpzpzmpzgpmmmm. Give prob of picking 1 z, 2 m, and 1 p.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 + (-52)\/(-16))*-128. Suppose -138 = -3*r + b. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 728*t**3 + 747*t**3 - 2192*t**3 + 737*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 54 - 30. Solve -5*b - 3*a + n = 0, 2*b - a = 5*b - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.9 + 4. Suppose 6 = -4*b + b. Let m be b\/3*6\/26. What is the second smallest value in -3, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9349 divided by -10.\nAnswer: 9349\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-399602)\/(1 + -24)*(-2)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 86\/28245 and 68\/12105.\nAnswer: 84735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16239*p + 8107*p + 8119*p = -299 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 456 - 449. Suppose -2*u + v + 35 = 0, -5*u - 3*v + 91 = -2*v. Calculate the remainder when u is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + 24*q**2 + 26*q - 23. Let z be 519\/21 - (-16)\/56. Let d be t(z). Solve 14 = -4*o + d*c, o + 2*o + 2*c = -14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -6*i**2 + 4*i - 19. Let s(u) = u**2 - u. What is 4*s(o) + w(o)?\nAnswer: -2*o**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -238*i - 2*i**3 + 9*i**2 - 4 + 122*i + 118*i to the form k*i**3 + j*i + z + y*i**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 382163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -269a550 + b?\nAnswer: -269a543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**24\/c)\/(c\/c**(6\/11)) assuming c is positive.\nAnswer: c**(248\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1028, -8\/5, -4\/3?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2214508\/91 + -24335. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -11826, -24065, -36304?\n\"Answer: -12239*p + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 + j**2 - 2*j. Let v be a(-3). What is the common denominator of (-23)\/v - (3 + -6) and -68\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262878899.\nAnswer: 79, 463, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.3 + -3.3. What is the nearest to -2\/5 in -0.3, p, 0.012?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -18*g**3 + 2*g**2 - 1. Determine p(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 421315.4km?\nAnswer: 421315400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 447*c*w**5 + c*w - 325*w**2 wrt w?\nAnswer: 26820*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 32 = 4*s, 67 = 4*a + 47 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(242) + 0)*-3 + ((sqrt(242) + 1)**2 + 2 - (-1*sqrt(242) + -1)**2).\nAnswer: -33*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 8\/5*f**5 + 0*f**2 + 4 + 0*f**4 - 5*f**3 + 0*f. Find the third derivative of k(n) wrt n.\nAnswer: 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6*h - 5808 = 0. Let t = h - -2125. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-26) + (-5)\/(-52)*116260 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y, 1 l, and 1 c when four letters picked without replacement from {x: 1, p: 1, l: 3, y: 2, o: 5, c: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 12 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 2*v - 8*v)*(2 + 4 - 5) - 5*v + 2*v + v + (-2 + 2 + 2)*(0 + 0 + v) - v + v + 2*v - v + 3*v + 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 154 and 4\/(-12)*(5 - 22 - 1)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 522 - -33. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b + 9. Suppose -p + 15 - 5 = 0. Is t(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -49 + 33 - 23*l + 2*l. Suppose -q - 20 = -6*q. Let m = q + -2. Let t(b) = 4*b + 3. Calculate m*c(f) + 11*t(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuzkuhmzm. What is prob of sequence kuuh?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(12\/4) - 0. Let a(k) = k**2 + 23*k - 91. Let f be a(-31). Suppose 5*n = r + 271, b = -3*n - 3*r - 2*r + f. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2880 divided by -6\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f + 12 = -48. Suppose u + 315 = 2*c, 3*c - 7*c - f*u + 612 = 0. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25992 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -14 + 3603*(-5 + 43). Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 47 + -75. Let m = k - -65. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -2\/5  (c) -1  (d) 5\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/(-81))\/(-1*2\/(-6)))\/(1391276\/57438).\nAnswer: -3\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 1725 = 4*z - 1710, 2*u - 30 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -274, -367, -460, -553, -646, -739?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*s - 11 + 11 + (0*s + s - 2*s)*(-3 + 4 + 0) + (-6 + 6 + 4*s)*(-2 + 4 + 0).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 7*m**2 - 98*m + 165. Calculate the remainder when d(16) is divided by 266.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 42 = -4*o. Calculate the lowest common multiple of (2\/(-3))\/((-4)\/o) and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2410.968 millennia?\nAnswer: 28931616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 5*i - i + 42, 0 = 5*y + i - 105. List the prime factors of -1 + (-1)\/((-1)\/y).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 + 19. Let i(g) = -g + 1. Let l = 2 + -6. Let h be i(l). Solve -4*o = -5*y + 35, h*y + 0*y - 30 = m*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express z**3 + 3*z - 631 + 1257 - 2*z**4 - 628 + 3*z**2 in the form n*z**4 + r*z**2 + t*z + l*z**3 + g and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.245 + 946.245. Let c = -937.51 + t. Let g = c + 0.31. Round g to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (y - 5 + 5)*(-4*y + 7*y + 17*y**3 - 9*y**3)*(2 - 1 + 1) in the form o*y**4 + d*y + c*y**2 + b + r*y**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence khn when three letters picked without replacement from hkn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10812)\/283815)\/(2\/3)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 29513.95 rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/28, -1, 4, 2.59?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.614 + 0.714. Which is the biggest value?  (a) -4  (b) -0.5  (c) h  (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 5. Suppose 0 = 4*u - 3*u - 4. Suppose u*t + 20 = h*o, 4*t + 19 = 4*o - 13. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -28*o**3 + 424*o**2 + 5156*o + 20336. Let v(n) = 17*n**3 - 283*n**2 - 3437*n - 13557. Let x(w) = -5*k(w) - 8*v(w). Factor x(l).\nAnswer: 4*(l + 11)**2*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.11 - 11. Let j = 7.89 + n. Let v = 8 - j. What is the closest to -0.3 in v, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/((o**0\/o*o)\/o)*o))\/o)**(-17)\/((o*(o*o**(2\/3)*o*o)\/o*o)\/o)**(41\/5))\/(((o\/o**(-2)*o*o)\/o**2)\/(o\/(o*o**(-1\/2)\/o))**13) assuming o is positive.\nAnswer: o**(1123\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 80590515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -4  (b) -806  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*c + 0*c + 4*c)*(-326*c - 389*c - 515*c) - 2 - c**2 + 2 in the form s*c**2 + y + a*c and give s.\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 14020262 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: Let x be 2 + 1190\/(-475) - 40\/(-100). Sort -4, -2.7, 3, x in ascending order.\nAnswer: -4, -2.7, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 13828*g. Let u(f) = 3*f**2 + 152. Determine b(u(p)).\nAnswer: 41484*p**2 + 2101856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*b**3 + 16*b**3 + 35*b**3 + (4 - 4 + b)*(3*b**2 - 4*b**2 - b**2) + (-b**2 - 2 + 2)*(3*b - 3*b - 2*b) as o*b**3 + r*b + z*b**2 + j and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0226 * 1.4452.\nAnswer: 0.03266152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 7 = -l. Let z = -19 + l. Suppose 0 = 2*p - z, -7*u - p + 22 = -6*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -5271, -1\/7, 4, 2, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 9015347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 186601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkqdddb. What is prob of picking 1 k and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -183, -420, -711, -1062, -1479, -1968, -2535?\nAnswer: -3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 54670 and 9625.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -131 - -72. Let l = -24 - h. Suppose 86 = 3*d + 2*r, 2*d + r = l + 23. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4804 - -4806. Solve -4*w = -8*w - 4*j - 32, -c*w + 2*j = 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-9\/5)\/(b*b*b\/b**(-1\/19)) assuming b is positive.\nAnswer: b**(-461\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2325 - b**3 - 2325.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136 = 38*k - 320 - 234 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3*c**2 - c + 3. Let j(h) = -22*h + 121. Let k be j(6). Let y(n) = 16*n**2 + 6*n - 15. Calculate k*a(m) - 2*y(m).\nAnswer: m**2 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/2 and -5\/713.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.85 + 1.15. Which is the closest to 0.13?  (a) v  (b) -1\/5  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2575670.\nAnswer: 2, 5, 17, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - (-2 + 3)*-6. Calculate the common denominator of (30\/12)\/(t\/22) and ((-246)\/(-36) + -5)\/((-5)\/9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1*(sqrt(1539) + (-2*sqrt(1539) - sqrt(1539))**2*-2 + -1).\nAnswer: -9*sqrt(19) + 27699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.7 - -6.3. Let u be -2 - (484\/33)\/(-22). What is the fourth smallest value in u, y, 3, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 4*v + 28, 0 = -2*d - v + 2*v + 9. Let k be 33\/9 + 3\/9. Let m be (3 - 4) + (k - 2). Is m bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 11*x**2 - 2*x + 1. What is the lowest common multiple of 14 and j(-3)?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 42689241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5231357*x**4 + 50*x - 3843?\nAnswer: -62776284*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = -8*s + 121 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 79987751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -3*c + 43. Calculate the remainder when 287 is divided by g(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7398, 1\/48, -44.7?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/((-21 + (-5)\/(90\/(-358)))\/(10\/(-6))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 301.\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3042341.\nAnswer: 1429, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c9 - -24?\nAnswer: ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -5, 5*n = -40*d + 42*d - 5. Solve 5*q + 3*l = 22, l - d = -2*q - 4*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4 - 5*h**2 + 4. Let i(o) = -o**2. Give i(y(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24 and 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 1\/3, 12049.12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 10 = 2*w - 0*u, 3*w + 15 = -3*u. Let p be (6\/5)\/(w\/65). Let l = p - -110. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 15.1 and -2512.11658.\nAnswer: -2497.01658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41848945.\nAnswer: 5, 2789, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15192.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j - 4. Let p be a(-3). Let d = 1\/2 + p. Which is greater: d or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151153853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1145 + -1060. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-30)\/(-4))\/(-5))\/(39\/(-4))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*s + 364 = 134 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23 + 91. Let u = o - 62. Solve 0*r = 2*r + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/244581 and -41\/1395.\nAnswer: 113730165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*j + 1455 + 1436 + 1454 + 1448 - 5793.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17985 = -15*n - 18*n. Let v = 547 + n. Solve -1 = v*w - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10634768 less than or equal to 10634767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 162 = -t, -q + 2 + 40 = t. Suppose -3*c + 96 = a + q, 2*c - 6 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 28 = -4*q. Suppose -2*m = -q*c + 2*c - 52, 4*m + c = 124. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 3*g**2 - 75*g - 162 = 0?\nAnswer: -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/sqrt(112)*1.\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4*d - 14 = -8, 3*l + 3*d + 27 = 0. Let w be (-2)\/4*(l + (-58)\/(-4)). Let a = -15 + 11. What is the nearest to 0.1 in a, -13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) - (sqrt(75)\/sqrt(5) + sqrt(15)))\/sqrt(3) + (sqrt(80) + 0)**2.\nAnswer: -sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10012211121220 (base 3) in base 12?\nAnswer: -6a5180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 3, -2, 5, 4.\nAnswer: -2, 3, 4, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 729055.\nAnswer: 5, 139, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 176 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - -8 - 4 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 614398?\nAnswer: 2, 97, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.17 + -0.03. What is the nearest to h in -1, -4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11254, 11259, 11262, 11263, 11262, 11259?\n\"Answer: -p**2 + 8*p + 11247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 0. Let j = l - 2. Let q = 4.00000027 + j. What is q rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 + 6*u**2 - 5*u. What is i(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d + 19*d - 4*d.\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15 - 6) + (-3 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + 4*a + 4. Let k be u(6). Let q = 14 + k. Suppose -q - 4 = -5*b. Solve -1 = b*i + g - 2, 13 = -4*i - 5*g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -138648193*c - 98634859 wrt c.\nAnswer: -138648193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*a**3 - 2*a**3 - 12*a**3 - 6*a**3.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (l + 0*l + l)*(-1087 + 215 - 192) - 3*l - 2*l + 2*l as k*l + j and give k.\nAnswer: -2131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000045792 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -2*q**2 - 384*q + 776 = 0.\nAnswer: -194, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n**4 + 4*n**4 - n**2 + 3*n**3 - 5*n**4 + 2*n**2 + 2*n as y + c*n**2 + u*n**3 + r*n**4 + z*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - (2 + 9)) + 201 + (26 - 222).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/11216?  (a) -1  (b) 246  (c) -1\/6  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**3\/5 + 606*u**2\/5 - 9228*u + 89872\/5 = 0. What is u?\nAnswer: 2, 137, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1045 and 72523?\nAnswer: 362615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -26*d + 25. Let y(w) = 13*w - 11. Give 3*u(a) + 7*y(a).\nAnswer: 13*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -21670 (base 9) in base 15?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**2 + 8 - 8 + w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from {h: 1, y: 4, f: 1, n: 3, b: 1, v: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -51 - -49.75. Let d = 1.05 + u. Which is the closest to -0.1?  (a) d  (b) 9  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1790481.8277 rounded to the nearest 10?\nAnswer: -1790480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*v = -y + 1702, -5*y = -v - 2117. Suppose w - y = -w. Suppose 3*q = -q + w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 9*q + 19*q - 34*q - 26, 13*n - 146 = 62 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 101552033 and 2057?\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1.4, -3\/4, -8, 2.8, 3.7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 6470976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 + (-84)\/7 - 242\/(-1) and 18.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -311 - 709 = -5*z. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2668316 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*z**2 - 2 + 5*z**4 + 6*z**2 - 1 + 11*z**2 - 2*z**4 - 10*z as h*z**2 + b + v*z**4 + o*z + i*z**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 9*s**3 + 7*s**2 - 13*s + 8. Let t be n(2). Suppose 0 = -t*j + 80*j + 3418. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 336 and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -172.38506 rounded to 1 decimal place?\nAnswer: -172.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((84084\/(-104))\/(-77))\/((-15)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 126*d - 128*d + 2.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -12 - (34 - 34)) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 119246 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y + y)*(10*y**2 + 8*y**2 - 8*y**2) + (-2*y**3 + 5*y**3 - 4*y**3)*(-1 + 3 - 4).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 1.41. Let u = -26.06 - -26.47. Let m = q - u. Which is the nearest to m?  (a) 2  (b) -0.5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -134*g + 129. Let z(i) = -400*i + 388. Let s(q) = -14*u(q) + 5*z(q). Differentiate s(n) wrt n.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1388.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3 = -0*y + 3*y, h = 4*y - 4. Let r(z) = z - 3. Let t be r(h). Let d be 16\/12*t\/(-2). Solve d = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i - 11. What is p(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 83 - (-3 - -2 - (-6)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by 12895?\nAnswer: 4\/2579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 645 and 2070?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 9 = d. Suppose 0 = -d*u - 0*u + 30. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of 0*i - 1\/3*i**3 + 0*i**2 + 3. Let r(n) = -3*n**2. Calculate r(b(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f + 4. Let j be l(6). What is the nearest to -1\/2 in -1, 0.1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 + 0*n**2 + 2*n**2)*((-n - 3*n + 3*n)*(5*n - 7*n - 4*n) - 95 + 95 - 28*n**2 + (2*n + 0*n - n)*(2*n + 0*n + 0*n))*(1 + 3 - 8).\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -56*r - 90. Calculate the remainder when 722 is divided by p(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00032293 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 323.7674 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 141 + -132. Calculate the highest common factor of a and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20*(-4)\/(-200))\/(312\/(-30)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 2*i - 34. Let f be r(19). Let u(h) be the first derivative of 1\/6*h**3 + 1\/10*h**5 + 0*h + 1\/4*h**f - 2 + 0*h**2. Factor u(y).\nAnswer: y**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21.94 - -0.06. Let l = n - 13. Which is the third biggest value?  (a) 1  (b) -0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 3*d = 36. Suppose d*v + 6 = 33. Find the second derivative of -25*y + 7*y + 11*y**4 - 7*y**4 - v*y**4 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 488 + -263. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 8 + -14 + -2 + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 11:25 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -10*n. Let q(z) = -127505*z + 8. Determine f(q(k)).\nAnswer: 1275050*k - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 33  (b) -2\/7  (c) 0.5  (d) -26.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 471893 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**3 - 14*t**2 - 16*t + 1. Let h be w(-13). Let g = 15 + h. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 - 0.3. Let r = 0.1 + x. Let k = 101.34 + -101.74. Which is the smallest value?  (a) r  (b) 0  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ws when two letters picked without replacement from {s: 7, w: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*g - 2224, 4*z - g - 2239 = -0*z. Suppose 153 - z = -3*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.059 + 23.559. Let m = w + -24. Put 2\/17, -27, m in decreasing order.\nAnswer: 2\/17, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 - m + 2)*(2*m + 4*m - 4*m) - 3 - m**2 + 3)*(4 - 3 + 2) to the form g*m + c*m**2 + k and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -408 or -407?\nAnswer: -408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 558969 and 4868701.\nAnswer: 335940369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.001 - 3237\nAnswer: -3237.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/7*t**2 - 1\/7*t**4 + 0 - 2\/7*t**3 + 2\/7*t.\nAnswer: -t*(t - 1)*(t + 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {n: 5, j: 1, q: 1, x: 5, y: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 240 = -7*w. Let k(q) = q**3 + 20*q**2 + 6*q + 63. Let i be k(-14). Let r = 1094 - i. Is r < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0, 9 in descending order.\nAnswer: 9, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*l = 14, 13 = -2*m - 5*l - 4. Suppose a = 3*x + m, 0 = 5*a - 10*a - x + 20. Suppose 1 = 3*b - 4*p - 12, 4*p - 36 = -a*b. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -6. Suppose 4 = w*r - 4. Solve 0*j + 5*j - 5*f = 0, -24 = -2*j - r*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 377*a - 4. Let c(p) = 380*p - 3. Calculate 4*c(y) - 3*h(y).\nAnswer: 389*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 146.453555 rounded to 1 dp?\nAnswer: 146.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -162\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 1229 = c, -187 = -z - c + 124. What is the greatest common factor of z and 4029?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*l**2 - 21*l**3 + 200*l**2 - 10*l**3 + 30*l**3 - 30*l**2 to h*l**3 + s*l**2 + b*l + z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, x: 1, e: 2, q: 1}. Give prob of sequence feqe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -32.1 * 0.2\nAnswer: -6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-0.065.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 4:08 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*d**4 + 479960*d**3 - 1439850*d**2 + 1439840*d - 479945.\nAnswer: -5*(d - 95989)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -446333?\nAnswer: -446336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 5, -4, -20 in decreasing order.\nAnswer: 6, 5, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 36 = -3. Let a = p - -35. Solve i + 0*i + a = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 5*s - 14. Let j be p(9). Suppose -9*m - 91 = -j*m. Solve m*w - 8*w = -2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12.3 - 7.7. Let v = -20 - k. Let x = 21.9 + -22. What is the biggest value in -4, v, x, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 210 = 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**4\/6 - 5*j**3\/3 + 101*j**2\/2 + 210*j. Let h be o(5). Which is the second smallest value?  (a) 0  (b) h  (c) -2  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/((-36)\/(-30)) - 0. Suppose s + 5*k = 394, -2*k + 9 = u. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvhlikh. What is prob of sequence hkih?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4\/3  (b) -1  (c) -0.16  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 57*x**3 + 215 + x**2 - 215 + (-3*x - 1 + 1)*(-2*x**2 + 2*x**2 - x**2).\nAnswer: 60*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9 or 2725016?\nAnswer: 2725016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 258\/7, -0.03 in decreasing order.\nAnswer: 258\/7, -0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11.789 + 12.245. Round v to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (0 + sqrt(1539) - sqrt(1539)) + sqrt(1539) + -5 + -2 + sqrt(1539) + sqrt(1539) - (((sqrt(1539) - (2 + sqrt(1539))) + -1 - sqrt(1539)) + -1))**2*2.\nAnswer: 49248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 66 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(-80)\/(-600)*-20*1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(-1)*(22 + -46). Suppose -5*q + 22*h - t*h = -62, 0 = -q + 5*h + 7. Which is the third smallest value?  (a) q  (b) 0.3  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.9 - -0.85. Let m = 0.05 + v. Which is the second biggest value?  (a) 8  (b) m  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23438.1199 - 23438. Which is the second biggest value?  (a) h  (b) -2\/5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**7*o**(-14))**(-3\/38))**17 assuming o is positive.\nAnswer: o**(357\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qffwwfw. What is prob of picking 3 f and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 679 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2 + 3*u - 2. Let s(w) = 68*w**2 - 27*w + 18. Let z(j) = -9*p(j) - s(j). Let t(g) = 3*g**2 + 2. What is t(z(d))?\nAnswer: 5043*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (-3 - (4 + -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/15 + 1 - (-18)\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0  (b) 0.1  (c) 5\/13  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271*t = -276*t. Solve -3*p - 5 + 17 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 138 = -3*s, 113 = 5*j - s - 65. Let n = -32 + j. Solve -5*k = -n*b - 24, 0*k = 2*b - 2*k + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/42, 0.3, 5, 1\/3, 1\/4 in decreasing order.\nAnswer: 5, 1\/3, 0.3, 1\/4, -1\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*i = 11, -z - 22 = z - 5*i. Let o = -109 + 118. Let h = o + z. Solve -3*m + h*m - 25 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3.603 and 49?\nAnswer: -176.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 175 - 173. Solve -6 - t = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1641589067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, u: 1, y: 1}. Give prob of sequence ruy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**3 + 23*t**2 - 31*t + 25. Let y be f(19). Let l = -629 + y. 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 the smallest common multiple of 5353360 and 2?\nAnswer: 5353360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 28*w - 3. Let f be j(-2). Let o = 64 + f. Suppose 4*v + v - 186 = -2*k, o*k + v = 442. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of l**3\/3 + l + 1. Let o(r) = r**3 - 23*r**2 - 25*r + 22. Let k be o(24). What is w(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*13.0662\nAnswer: 182.9268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65090 is divided by 116?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -132 - -133. Let u be r\/4 + (-15)\/12 + 4. Solve -q + u = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 <= 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 17566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v - 2. Let d(i) = -5*i + 5. Suppose -3*a - 12 = -7*a. Let w = 29 + -22. Determine a*d(p) + w*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 568 = 141. Suppose j + 5*c = r + 65, -4*j + c + 1863 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, b: 2, m: 1, d: 1, c: 2, y: 1}. What is prob of picking 1 d and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -335, -667, -999, -1331, -1663?\nAnswer: -1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-25)\/(-75)*1)\/(5\/(-2))*10\/14?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 3826732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of t**8\/1680 - t**7\/525 + t**6\/600 - 15*t**2\/2 + 2. Let j(u) be the second derivative of n(u). Factor j(k).\nAnswer: k**3*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/((-1)\/(-2)) - (-1 - 0). Let p be -6 + (2 - d)*-2 - -8. Suppose -x + 6 = 2. Is x <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6950923.\nAnswer: 7, 29, 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 59475.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - ((4 + -12 - -7) + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32807 is divided by 160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2311 - 10?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -186990  (b) 1  (c) 2  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from {m: 2, h: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 23*k + 3 + 2. Let m(d) be the second derivative of -1\/2*d**2 + 0*d**3 + 0 + 1\/6*d**k + 7\/20*d**5 - d. Calculate m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 n, and 1 x when four letters picked without replacement from {n: 8, x: 3, m: 7}.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -436495118238 + -0.67.\nAnswer: -436495118238.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a - 8*a - 4*a)*(-a + 2*a + a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22519.\nAnswer: 7, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000540671 to 6 decimal places.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 4*u + 2*k, 4*u + k + 5 = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 6:37 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 15*q - 6. Let l be r(7). Which is greater: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16536*b*n**3*u - 561*b*n**2*u**2 - 2*n**3*u**2 - 32*n**3*u + 4*n**3 - 8*n**2*u**2 + 1001*n**2 wrt b.\nAnswer: -16536*n**3*u - 561*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from {l: 3, g: 6, y: 1, b: 2, v: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 22*c**2 + 148*c - 615. What is n(18)?\nAnswer: 753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215*n - 7975 = -70*n. Is -948\/17 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 - 17. Let o be (s + 3)\/(2 - (2 - 2)). Suppose -2*b = o*b - 84. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -45, -86, -127, -168?\n\"Answer: -41*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6768 = -170*r + 2688 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -4, 1, 777?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-5)*-3*(-1120)\/896?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/38*(-44)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*sqrt(13)*-4*-6)**2*4.\nAnswer: 119805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.7 - 2.356. Let c = s + 0.056. Sort 0.2, 2\/11, c, 1.\nAnswer: 2\/11, 0.2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 11:02 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3*136\/60 + (-132)\/22\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a18 (base 13) to base 4.\nAnswer: 331010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 511991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/(-1)*37\/(-6) and -107\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 2*v - 11. Let k be j(8). Let r = k + -3. Suppose 4*u - 429 + 130 = n, 3*u - r*n = 223. What is the greatest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -21  (c) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 10*k**2 + 10*k - 15. Suppose 2*l - 4*s - 21 = 7, 0 = -3*l + 2*s + 30. Determine n(l).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2328 and 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2.3294679ms?\nAnswer: 0.000038824465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2427802820 to the nearest integer?\nAnswer: 49273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90923\/(-7161) - 3\/(-99).\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7935072.\nAnswer: 2, 3, 82657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**5\/7 + 248*x**4\/7 + 7632*x**3\/7 + 21428*x**2\/7 + 20942*x\/7 + 6900\/7 = 0?\nAnswer: -75, -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*q**3 + 60*q**3 - 22*q**3.\nAnswer: -155*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 120 = z, -5*c - 51 = -5*z - 191. Suppose c*n - 25*n = -4. Calculate the highest common divisor of 11 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 - 6. Let g(p) = -t - 1 + 3 + 3*p**2. Let l(u) = 2*u**2. What is g(l(o))?\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7*(-2 + 60 - 3). Calculate the greatest common factor of s and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lchcccclclclc. What is prob of picking 1 c and 1 h?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3511, 31130, 106099, 252094, 492791, 851866, 1352995, 2019854?\n\"Answer: 3946*j**3 - j**2 - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*q**3 - 22*q**3 - 11*q**3 - 11*q**3 + 46*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5.5 and 3.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -5)*(-7 - (-252)\/35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/37?  (a) -0.2  (b) 208  (c) 0.1  (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17389 + 17391. Factor 17\/4*h**3 + 5*h**l + h + h**4 + 0.\nAnswer: h*(h + 2)**2*(4*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.6?  (a) 2\/2225  (b) 3  (c) -2\/5  (d) -2\/67  (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, j: 6, v: 11}. What is prob of picking 1 v and 1 f?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.237 and -66.\nAnswer: -15.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -8*z + 627. Give a(77).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 9*h. Let g(r) = 5*r. Suppose -49 = 6*y + 11. Determine y*g(w) + 6*z(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (((-3)\/1)\/(-3))\/(2\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from ngbbuubncub.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1896 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, q: 2, g: 3, i: 3, u: 3, e: 1}. Give prob of picking 1 e and 3 u.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**2*p**2 - 2*l**2*p - 84*l*p - 142*p**3 - 2*p wrt p?\nAnswer: -2*l**2 - 852*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 879323.2 milligrams in micrograms?\nAnswer: 879323200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 9*h + 48. Suppose h*j - 335 = 133. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of c**3\/2 - 3*c**2\/2 - 14*c. Let l(i) = 3*i - 2. Determine -4*k(x) + 5*l(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.3 times -0.4?\nAnswer: -37.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - g**2 - 2*g)*(4*g + g + 1 - 4*g)*(4 + 5 - 2).\nAnswer: -7*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/3)\/f)**(-49))**37 assuming f is positive.\nAnswer: f**(9065\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3201\/8, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0279 + -0.0221. Which is the third smallest value?  (a) g  (b) -3  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -184*s + 63 = -175*s - 72. Which is bigger: s or 342\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80)*-2)**2 - (sqrt(500)*-4)**2.\nAnswer: -7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.98 plus 84?\nAnswer: 83.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/4)\/(9\/(-30)). Let b = 21 + -18. Suppose 88 = s + 2*i + b*i, -n*s + 2*i = -413. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*d = -77*d. Let h(u) be the third derivative of 0*u - 8*u**2 + d*u**4 + 0 - 1\/12*u**5 - 11\/6*u**3. What is the derivative of h(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v - 1 + 1 + (-v - 3*v + 3*v)*(-3 + 3 - 1) + 2*v + 2*v - 3*v + 2*v + 0*v - 4*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(682\/(-5022)*-81)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/51?  (a) -0.1  (b) 2\/5  (c) 0.2  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (2 + -2 - 5 - -15)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5 - (0 + (1 - -2)). Find the third derivative of 3*f**6 - 4*f**6 - 11*f**2 + 13*f**i wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -4 - (27 + -37).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121615?\nAnswer: 5, 13, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 84752955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 0*o**2 + 4*o**2 + 2 + 1 - 3*o**2 + 4*o. Is c(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.835  (b) 0.3  (c) -5  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 8 - 1. Let g = z + 4. What is the common denominator of g\/11*(-46 + -1) and 11\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 802399*x + 3222140*x + 875460*x - 5 + 4. Suppose -a = 5*k - 19, 5*a - 1 = -2*k + 2. Let g be q(a). Round g to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 186 and 3410?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*u**2 - 55*u - 405?\nAnswer: -4*u - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 9*q + 7. Let j be i(-1). What is the closest to j in 2\/3, -0.4, -3\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -179, 4, 1\/3?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -491 divided by -5?\nAnswer: 491\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.10528 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119790658?\nAnswer: 2, 13, 4607333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -469.58 times 16\nAnswer: -7513.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/5))**(2\/5))**(2\/25)*((s*s\/s**(-2\/7)*s)**(13\/7))**(-1\/2) assuming s is positive.\nAnswer: s**(-186091\/61250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -380 by 5.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*x = 312. What is the tens digit of 5*113 + (-156)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.021002187 - -5.021. Round u to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(1\/8)*b)\/b)\/b*b**(4\/3)\/b)**(13\/6)\/((b**(-3)\/b**4)\/((b**(-6)\/b)\/b*b**(-2\/13))) assuming b is positive.\nAnswer: b**(-4357\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from egxpp. Give prob of picking 1 x, 1 e, and 2 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 5*i + 2*i = 13924, 0 = -4*s + 2*i + 55746. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuutttuttmuuutu. Give prob of picking 1 m and 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1573 is divided by 220.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -6, -1, 5\/3, -30?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**4 + 0*z**4 + 4*z**4)*(300*z + 223*z + 234*z - 1232*z + 295*z + 310*z).\nAnswer: -260*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -34 or 713?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1050)*1)\/(6*sqrt(24)).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4083 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (42 - 54 - (-12 + -1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/56*(-4)\/(-6). Let u = -0.03 + -0.27. Let h = u - 0.7. Put c, h, -2\/9 in decreasing order.\nAnswer: c, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of -1285*a**8\/336 + 5*a**4\/6 - 23*a**3\/6 - 433*a**2. Find the second derivative of p(l) wrt l.\nAnswer: -25700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235866 is divided by 12784?\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/(-2) + 10\/20. Let v = -10 + 0. Let x = v - h. Let n(z) = z**2 + 5*z + 1. What is n(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + sqrt(2))*6.\nAnswer: -108 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557230 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/6479 and -43\/1045.\nAnswer: 32395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-4\/3)\/(n\/(n\/(n*n**(-1)*n))))\/(n\/(n\/n**(-2\/9)))**(8\/5))**2 assuming n is positive.\nAnswer: n**(-178\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 38*p**3 - 18*p**3 + 2*p**4)*(-p - 4*p + 3*p + (0 + 0 - p)*(4 - 2 - 1)).\nAnswer: -6*p**5 - 60*p**4 + 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) -0.2  (b) -1\/37  (c) -1\/2  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 4*u + u)*(4*u**2 - 4*u**2 + 4*u**2)*(-6 + 1 - 3).\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in 0.4, 4, -14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 5 - (-3 - -16 - (-3 + 11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 30 = 38. Suppose 5*j - 2*x - 131 = 0, -j = -f*j + x + 78. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -2, 0.3, 0.5 in increasing order.\nAnswer: -2, 0.3, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*o**2 + 3 - 5 + 2*o**2 + 7*o**2.\nAnswer: -34*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeoaooazozozazozzop. Give prob of sequence azzz.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 64689977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((0 + sqrt(2057))*-4 + sqrt(2057) + -1 + -3*5*(sqrt(2057) + -2 + sqrt(2057) - sqrt(2057))))**2.\nAnswer: -413424*sqrt(17) + 24023124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -214 smaller than -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 76 and 6016008?\nAnswer: 6016008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 101?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -36 + (15 - 16) - ((-2 - (1 + -10)) + 7)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxbb when four letters picked without replacement from {b: 7, a: 1, j: 8, x: 2}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 767278163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -157 + 3296\/21. Is v less than or equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t = 85 + 35. Solve -5*c = -10*c - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(363)*1 + 1 + 1 + sqrt(363))**2*-5.\nAnswer: -1835 + 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4))**(-39) assuming u is positive.\nAnswer: u**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -216176*g**2 - 275*g + 48926394?\nAnswer: -432352*g - 275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - (sqrt(8) - (sqrt(40)\/sqrt(5)*6 - sqrt(8) - sqrt(8))) - sqrt(8))**2 - ((0 + sqrt(288) - sqrt(288))**2 + -5).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3783 - -3783. Let v be (1 - -2)*(-4)\/(-18). Which is the biggest value?  (a) 0.06  (b) m  (c) -3\/7  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1623243 (base 8) to base 15\nAnswer: -93ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 28*b**2. Let n(y) = 1693*y. Determine k(n(d)).\nAnswer: 80254972*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(84)\/(1*sqrt(6)\/sqrt(2)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3 + 1098*p**2 - 42807*p + 410096.\nAnswer: (p - 19)**2*(p + 1136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*(3 - 2) - 38\/(-399)*-336.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 18 = -2*f. Let b(u) = -u**2 - 9*u + 7. What are the prime factors of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.11 + -0.04. Let x = k + -1.07. Let c = 0 + 1. What is the closest to c in x, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 3*j + 12, -4*t + 1 = -3*j - 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, z: 1, e: 1, f: 1, y: 1, t: 1}. Give prob of sequence vty.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 21*d - 4. Let z(l) = l. Determine -m(k) + 2*z(k).\nAnswer: -19*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -4. Let g(z) = -36*z - 304. Let h be g(-9). Is a + -2 + (-15)\/h*-28 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3547.208 - 3571. Let q = b - -11.781. Let n = -0.011 - q. What is the nearest to 0 in -1, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1515 (base 7) to base 6.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 408 - 146. Let w = 4533 - c. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 784724.\nAnswer: 2, 196181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9210, -18427, -27644, -36861, -46078, -55295?\nAnswer: -64512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 2, -7 in decreasing order.\nAnswer: 5, 2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 554.3721 litres in millilitres?\nAnswer: 554372.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*u = -2*u - 28 + 238 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -11*s + 10*s**2 + 6*s + 7*s - 11. Let p = 19 + -41. Let r(z) = -z**2 + 1. Let q(l) = p*r(l) - 2*i(l). Factor q(a).\nAnswer: 2*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 40845419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.4832 minus 2231?\nAnswer: -2156.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 8283, 33057, 74307, 132021, 206187?\n\"Answer: -2*j**3 + 8250*j**2 + 38*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 11:27 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1124*u**2 + 623*u**2 + 3204*u**2.\nAnswer: 4951*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2158.9 + -2156.587. What is w rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 117*c**3 + 58 + 11*c**2 + 76 - 134 as o*c + z + s*c**2 + b*c**3 and give b.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 20*y + 13. What is the tens digit of j(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17013679 is divided by 6597?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 91371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3*-10.1\nAnswer: -30.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 3:21 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1353471 and 2814?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -86284 by 43142.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.02 + 5.02. Suppose 0 = -7*m + 8 + 20. Suppose 15 = -3*z, -m*n - 2*z = -0*z + 14. Which is the nearest to -10?  (a) r  (b) n  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 830036.4 microseconds?\nAnswer: 830036400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -94430, -188847, -283264?\n\"Answer: -94417*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1110 (base 2) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 - 2*i**2 - 113*i - 134. What is b(-8)?\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (25\/20)\/(3\/(-12)). Let u(v) = -7*v**2 - 19*v - 1. Let f(y) = -11*y**2 - 28*y - 2. Let g(c) = -5*f(c) + 8*u(c). Is g(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/222)\/(1350\/(-925))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8895822, -17791645, -26687468, -35583291, -44479114, -53374937?\n\"Answer: -8895823*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 5:50 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -58.777 + 58.4. Let k = a + 0.477. What is the second biggest value in 92, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-15)\/10)\/((-3)\/4). Suppose f*t = 396 + 70. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1133.4773 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5 - 0.3. Let k = -309\/5 + 2158\/35. What is the closest to 0 in 2, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45*o**3 + 3429500 - 22446*o + 1140*o**2 - 30*o**3 - 85854*o - 19*o**3.\nAnswer: -4*(o - 95)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*a - 231 - 265 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -86, -170, -364, -710, -1250, -2026?\n\"Answer: -7*b**3 - 13*b**2 + 4*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10 - (-7 - -1 - (-19 - -23))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -6*t + 4. Let k(u) = 7*u**2 - 87*u + 29. Let c be k(12). Let f(o) = 19*o - 13. Give c*r(n) - 2*f(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, j: 4, x: 3, w: 1, z: 1, v: 2}. Give prob of sequence wu.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15933716087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -261.83 to the nearest integer.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 70 - 1286 = 0. Let v = 40 - g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -115342*q**3*y + 2*q**2*y**2 - 2*q**2*y - 3*q*y**2 - q*y - 29*q - 10*y**2 - 2*y wrt q?\nAnswer: -692052*q*y + 4*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19.51 + 19.508466. Round f to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/11, -917, 45 in ascending order.\nAnswer: -917, -4\/11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 134*n + 137*n = 8, -a - 4*n = -29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -108*t - t**2 + 108*t. Let m(l) = 28*l**2. Give m(o(r)).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 5833.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6427 (base 10) to base 12.\nAnswer: -3877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1 + 2 + r**2 + 6 - 15 + 6*r. Suppose 3*l = -0*l - 27. Is c(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 7:20 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 111072 and 69420.\nAnswer: 555360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2. Let t(i) = 0*i**2 - i**2 - 4*i**2. What is u(t(a))?\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 632\/(-56) - 4\/(-14). Let x = 15 + o. Suppose y + y - 81 = -p, 5*y - x*p - 170 = 0. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27\/2*z + 45\/8*z**2 - 3\/8*z**4 + 3\/4*z**3 + 0 = 0 for z.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30110 (base 5) in base 12?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-6*((sqrt(405) + -2 + 5 - sqrt(405)) + sqrt(405)) + (-1 + sqrt(405) + 0 + sqrt(405) - (-3 + sqrt(405)*-2 + sqrt(405) - sqrt(405))))**2*-6)*3.\nAnswer: -33762 - 10368*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -67 - 9379*f + 17840*f + 67 in the form k + i*f and give i.\nAnswer: 8461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*o + 12 = 60 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24075.9986167 + 24076. Round n to 5 dps.\nAnswer: 0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -21. Suppose k*s + 6 = -6. Let y = -0.9 + 1. Which is the third biggest value?  (a) y  (b) 0.5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 36?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0\/1 - 0)*(-1)\/(-3). Let s = 2367\/4736 + 1\/4736. Let p = 0.2 + -0.6. Which is the fourth smallest value?  (a) -2  (b) p  (c) k  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001969 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5320 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-6)*(5 - -1). Suppose -a - 3*k - 3 = -0*a, -3*k = o. Solve a = j - 3*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61080, 61896, 63258, 65166, 67620, 70620, 74166?\nAnswer: 78258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9.26, -5, 2\/123, 6.8, -6?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgngvvvvngnggnvgg. Give prob of picking 2 v.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a**4 + 315*a**3 + 3080*a**2 - 17040*a = 0. What is a?\nAnswer: -12, 0, 4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) + 4 + sqrt(1872) + 0 - sqrt(1872)) + sqrt(1872) + -1*sqrt(1872)*-1 + sqrt(1872) + 0 + -2*sqrt(1872)*5 + -3)**2.\nAnswer: -144*sqrt(13) + 67393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 + 11. Let t = k + -4. Let s = 0.0472 + -0.0372. What is the closest to t in 5, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.67 or -141?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -4, -0.1, -18720\/17 in decreasing order.\nAnswer: 16, -0.1, -4, -18720\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 256173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.02  (b) 12  (c) 0.04386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -176.6 - -177.6. What is the closest to -8 in -1, v, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwkw. Give prob of sequence kw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 + 1)*(-w - w - 3*w).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 586 - 569. Suppose -h = 3*h + 12. Put w, h, 0 in increasing order.\nAnswer: h, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 1789*u**2 - 1065475*u - 211269375.\nAnswer: -(u + 575)**2*(u + 639)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -936 - -951. Is -423 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 51220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8.26 - -20.26. Sort -5, j, 1\/6 in ascending order.\nAnswer: -5, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 78753780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 61148277 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of 5*z**4\/12 + z**3 - 4*z**2 - 4*z. Is g(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 8 = 0, -4*i - i + o + 52 = 0. Let q = 28 - i. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*k = -2*r - 173*k, -8 = -3*r + 2*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1569\/9 - 2\/(-3). Suppose 4*o - 669 = y. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 310\/75 + 2 + -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1)*(n*n*n\/(n**(2\/25)\/n)*n)\/n*(n**0\/n)**(-2\/11))\/(n**(-6\/7)*n*n**4*(n**(-3)*n)\/(n\/(n\/(n\/n**(-7))))) assuming n is positive.\nAnswer: n**(17246\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-4)*(336\/(-350))\/((8\/(-2))\/(-20))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -19*i + 704. Let n be g(37). What is the nearest to n in -0.3, 0.5, -7, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-30)*-2*26350\/216070.\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52\/51 or 22.44?\nAnswer: 52\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2211 + 6\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 7*f**2 + f - 2. Let i be s(7). Solve -18 - 7 = -i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 0. Let w(g) = g**3 - g**2 - g + 5. Let c be w(r). Let t = c + 1. Calculate the greatest common divisor of 24 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) -11  (c) -3\/7  (d) 2  (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -51 (base 7) to base 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 - 8*m**2 + m + 14. Let z = -12 + 4. Let g be v(z). Let c(y) = y**2 - 7*y + 2. Give c(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1\/3))**40\/(l**(-2\/3))**(26\/5) assuming l is positive.\nAnswer: l**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 21, -3, 2.\nAnswer: -4, -3, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*u**2\/7 - 27*u\/7 + 9\/7.\nAnswer: (u - 3)*(8*u - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6151.\nAnswer: 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 800792 is divided by 23959.\nAnswer: 10145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.269 + 0.039. Let i = 0.03 + u. Which is the second biggest value?  (a) i  (b) 14  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -0.0285, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37882 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 3:35 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 + 62\/(-40)*4. Let c = -2 + 2. Let k be (-2 + 3)*(c - -1). Is k bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 3*j - 0*n + 223, -4*n = 20. Calculate the least common multiple of 9 and (j\/12)\/((-1)\/2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -999275 >= -999268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -64152827600 take away -0.05?\nAnswer: -64152827599.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 108 = 8*r. What is the tens digit of (-1016)\/(-14) + (r\/(-14) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 149 - 37 - 48 - 46 + 269*k - 50 to the form l*k + d and give l.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 421010243?\nAnswer: 421010243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 589*n + 582*n - 1763*n + 590*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2828044 to the power of 1\/2, to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 561 - 1839. What is x rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6*6\/(-432)*-2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -f**3*v - 6250198*f**3 - f**2*v + 3*f*v - 34966*v with respect to v.\nAnswer: -f**3 - f**2 + 3*f - 34966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116372232.\nAnswer: 2, 3, 1616281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 32\/56 + 36\/(-14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -59558.\nAnswer: -5\/59558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4961036 by 1240259.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 871.7518 minutes?\nAnswer: 52305108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 5*d = 3869 - 270, 2697 = 3*x - 3*d. What is the smallest common multiple of x and 1792?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -10315768, -10315767, -10315766, -10315765, -10315764?\n\"Answer: n - 10315769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*v - 47*v + 212 = 0. What is the remainder when v is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4736 and 54992?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-19 + 19)\/(2*-1). Let g(s) be the first derivative of 0*s + 8 + 17\/2*s**2 + h*s**4 + 0*s**3 + 12\/5*s**5. What is the second derivative of g(j) wrt j?\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -20197 + 3?\nAnswer: -20194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10334.\nAnswer: 2, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17063*p**4 + 3*p**3 - 86*p + 18757972?\nAnswer: 68252*p**3 + 9*p**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 27318395 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-176)*((-5)\/(-300)*-62 + 167\/(-1002))\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11 and 27773.\nAnswer: 305503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 + 7*y**2 - 6*y + 2. Let u be h(6). Let j(d) = 5*d**u - 7*d + 7 - d**2 + 10*d + d**3. Calculate the remainder when 24 is divided by j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m - 12 = 18. Let w be (-15)\/9*(-8 - m). Find the third derivative of 10*s**5 - 20*s**w + 3*s**2 - 17*s**5 - 5*s**5 wrt s.\nAnswer: -1920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2 - 4*v**2 + 8 + 2 - 3*v + 3*v**2. What is s(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - y - y - 3.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 43, 88, 133, 178?\n\"Answer: 45*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-17391)\/1870 - (-9)\/30. Sort 0.02, 6\/7, n.\nAnswer: n, 0.02, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**3 + 835 + 249 - 40 + 46.\nAnswer: -b**3 + 1090","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of -6*p + 5 - 12*p**2 + 0*p**5 + 1\/15*p**6 + 5\/6*p**3 + 0*p**4. What is the first derivative of j(w) wrt w?\nAnswer: 8*w**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 4479, 0.1 in descending order.\nAnswer: 4479, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -1.92. Let q = 2.92 + y. Which is the biggest value?  (a) q  (b) 6  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39 + 20 + p**4 + 33*p + 37*p + 34*p - 108*p in the form w*p**3 + y*p**2 + u*p**4 + v + i*p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*q - c + 0*c + 164 = 2, 2*c - c = 11 + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3\/2  (b) 3  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 2293.6872 to the nearest 10.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -0.3, -1, -0.2, -8, -1\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 3*v**3 + 237548*v**2 + 158363*v - 79182 = 0.\nAnswer: -79182, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j - 17. Let a be o(10). Suppose 2*n + 3 = -2*q + 5*n, -a*q + 1 = n. Solve 0 = -4*g - q*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 8456636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 10*m = 15*m - 221470020, 2*w - 3*m = 442939988. What is w rounded to the nearest one million?\nAnswer: 221000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2920004 is divided by 182491?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -20\/253?  (a) -4.8  (b) -5  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -343.1424 rounded to 0 decimal places?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 19*a = 24*a + 502, 0 = -2*m - 4*a + 520. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1122 + -918.1. Let h = -214.174 + 0.174. Let y = h + l. Round y to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {f: 1, i: 14}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/3)\/(90\/210).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(sqrt(110)*2 - sqrt(110)))\/(1*sqrt(90)) + -3)*5.\nAnswer: -25*sqrt(11)\/3 - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(286)\/sqrt(44))\/(sqrt(126)\/sqrt(7)))**2 + 1.\nAnswer: -59\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/317304 and -143\/12.\nAnswer: 317304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 1703  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/((-9)\/6))\/(40\/15)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 6*o**2 - 5*o - 6. Determine m(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 470367649 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 567 and 2862.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1366750 and 15785?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 614889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*k + 1959 - 5198 + 1943 = -2286 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 325693, 651377, 977087, 1302835, 1628633, 1954493, 2280427?\nAnswer: 2606447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqr when three letters picked without replacement from ssrrqsqss.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -2\/3*w**3 - 5\/2*w**2 - 5*w - 1\/4*w**4 + 7. Is j(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -71*a - 1277. Give q(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2723202 by -1.\nAnswer: 2723202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.074451 to three decimal places.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 84070 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: Let l = -0.2358 + 0.1358. Let x be 15\/50*10\/(-36). What is the smallest value in 5, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -30, 0.4, 1\/4, -0.641 in decreasing order.\nAnswer: 0.4, 1\/4, -0.641, -17, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7834447.\nAnswer: 7834447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 4*a - 2. Suppose -2*g - 4*s + 4 = 0, -a = -4*g + 5*s - 3*s. Let n be (15\/(-4))\/(6\/(-16)). What is the greatest common divisor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-45)\/(-270)*(-4)\/(-2))\/((3211\/(-78))\/13).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n - 3429 + 3429.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*c = 8*q + 338*c + 64, -q = 2*c + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -162\/104285 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7469 and 144221.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w + 120 = 0. Suppose 2*f - 126 = -2*j, -3*j + 61 = 2*f - w. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**5\/20 + 17*l**4\/12 - 7*l**3 + 6*l**2 + 3*l - 9. Let m be d(14). Solve 2*q = 2*n - 3*q - m, 3*n = 3*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*j + 22*j**5 + 6*j + (-5*j**4 + j**4 + 2*j**4)*((1 + 3 - 5)*(1 - 1 + 2*j) + 2*j - 4*j + 3*j).\nAnswer: 24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -535775 + 536495. Suppose -5*p + 450 = 7*g - 2*g, -g + 90 = 3*p. What is the greatest common factor of g and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343)\/sqrt(112))\/sqrt(7))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 66101250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3\/14 - -43\/70. Suppose f*y + 12\/5*y**3 + 0 + 9\/5*y**2 + y**4 = 0. What is y?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -7*n**2. Let j(a) = 192*a**2. What is y(j(s))?\nAnswer: -258048*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 <= 615946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of 14861 and -0.663061.\nAnswer: 14860.336939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(324) + sqrt(324))\/(sqrt(81) - -1*sqrt(81) - sqrt(81)))\/((-6*sqrt(12)*-1)\/(sqrt(6) - sqrt(96)*-1)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3415328075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the third derivative of c**8\/1680 + 151*c**7\/525 - 913*c**6\/600 + 61*c**5\/30 + 3580*c**2 + c. Solve u(f) = 0 for f.\nAnswer: -305, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 12:04 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -28679899?\nAnswer: -28679896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - (sqrt(104) - (-4*sqrt(104)*1 - sqrt(104)))))\/(sqrt(8) + sqrt(96)\/sqrt(3)))**2 + (sqrt(78)\/sqrt(6)*-1*-3*3)**2.\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -16. Put m, 4, 0 in descending order.\nAnswer: 4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or 198.7?\nAnswer: 198.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -8) + (-130)\/78.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13633, 13613, 13583, 13537, 13469, 13373, 13243, 13073?\n\"Answer: -q**3 + q**2 - 16*q + 13649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, m: 1}. What is prob of picking 3 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, u: 3, k: 6, g: 2}. Give prob of picking 1 g and 2 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -613047, -613152, -613257?\nAnswer: -613362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nwz when three letters picked without replacement from nwwnnnnnxnwfz.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 785 - 556. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 - -2. Let p = 1248\/3095 + -2\/619. Which is the nearest to 0.1?  (a) 4  (b) p  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 509 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**2 - 15*k - 38. Let v be m(7). Suppose v = 3*g - q, 0 = 3*g + 3*q - 13 - 11. Sort -5, 2, g, 1 in increasing order.\nAnswer: -5, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 8:37 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**2*o**2 - 618*i**2 + 72*i*o**2 - i*o - 2*i wrt i?\nAnswer: 2*o**2 - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29.7 - -28. Let g = f + -0.3. Let s = -4 - -4.3. What is the second smallest value in -2\/3, g, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, g: 2, c: 1}. Give prob of picking 2 p and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**5*y*y**(-9\/4) assuming y is positive.\nAnswer: y**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 2:38 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.2, -2\/11, -1, 0.2, -323.6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 237727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**2 - 744*r - 1476 = 0. Calculate r.\nAnswer: -246, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2918 = -3*u + 399*x + 187*x, 19 = 448*u - 449*u - 3*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4807488499 to the power of 1\/3, to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -60\/2198707 and 93\/70?\nAnswer: 21987070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -27*i**2 - 49*i + 3414. Let f(w) = -10*w**2 - 18*w + 1138. Give 8*f(c) - 3*x(c).\nAnswer: c**2 + 3*c - 1138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.5 + -1.5. Let p = 2.7 + 8.3. Which is smaller: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.303331 decades to months.\nAnswer: 1116.39972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21635 is divided by 421?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 357*w - 7. Is o(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -460*0.3\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s + 25*s - 19*s. Let u(w) = -24*w + 2. Determine u(g(h)).\nAnswer: -48*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 510327117*p**4 - 954220211*p?\nAnswer: 6123925404*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lsis when four letters picked without replacement from {w: 1, p: 2, i: 2, l: 3, s: 9}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5 - (-3)\/1) + 2. Let h = b - 3. Put h, -4, -1 in increasing order.\nAnswer: -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -3*h**2\/8 - 105*h\/8 = 0.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 1. Let h(q) = -q**3 - 3*q**2 - 5*q + 6. Let k be h(-2). Let x(c) = 3*c**2 + 12. Calculate k*t(g) - x(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 8:56 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 4*v - 94 = -4*d, -4*d = 4*v - 120. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -55432526 - 0?\nAnswer: -55432526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 7*n + 7. Let a(r) = -r**3 + 7*r**2 + 9*r - 3. Let q be (4\/6)\/(1\/6). Suppose 18 = q*z - h - 16, -h = -3*z + 26. Let k be a(z). Give p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 15 = 0, -924 = -3*l - 5*z - 900. Let a(k) = 3 + 3*k - 4*k - 2*k - k. What is a(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 201419, 201347, 201275, 201203, 201131, 201059?\n\"Answer: -72*f + 201491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b - 39*b**2 - 3 + 7*b**2 + 31*b**2 + (24 + 9*b - 24)*(-2*b + 2*b - 2*b) - 4*b**2 + 2*b**2 + 0*b**2.\nAnswer: -21*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5 = 2. Suppose v*q - 2*q + m - 2794 = 0, 2809 = q - 4*m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6*l**2 - 8*l + 7. Let s(i) = -18 - 981*i + 998*i + 6 - 12*i**2. Let x(b) = 13*o(b) + 6*s(b). Find the second derivative of x(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 9*t + 27. Suppose -3*i + 11*i + 24 = 0. Let p be f(i). Solve p = -12*y + 14*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/(-2) - (-4)\/8. Suppose p + 7 = -t + 4*t, -p - i = -2*t. Solve -5 = t*v + 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of -29*j**3\/3 - 47*j**2\/2 + 2*j - 47. Find the second derivative of r(t) wrt t.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -3020*n - 100585. Determine v(-33).\nAnswer: -925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10992*d**5 + 15*d**3 - 14*d**2 - 3*d - 8494 wrt d?\nAnswer: -659520*d**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 3:19 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -315?  (a) -5  (b) 0.5  (c) 0.2  (d) 1\/3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 2*x + 15 = 0. Let z = x - 6. Let b(r) = r**2 + 1. List the prime factors of b(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10263 (base 9) in base 2?\nAnswer: 1101001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2013 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -364*a**6 + 2861*a**2\/2 - 6202. What is the second derivative of g(c) wrt c?\nAnswer: -43680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11981521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 3437 and 58427\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*k - i, 4*i - 52 = 2*k - 7*k. Let d(q) = 1 - q + k - 1. Calculate the remainder when 27 is divided by d(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 5  (b) -12  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**(-2)\/q)**(-3\/16)\/((q*(q\/q**5)\/q*q*q*q)\/q**3) assuming q is positive.\nAnswer: q**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2733*y - 1360*y - 1499*y = -7182 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/336*-2*5\/(5\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.057 * -0.204.\nAnswer: 0.011628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27158 is divided by 406.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) 0.3  (c) -9  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 444\/19 less than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*n = -215, -2*n = -2*l - 0*n + 80. Let q = 6 - 1. Suppose 0*u = -q*u + l. What is the lowest common multiple of 1 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -153, -243, -331, -417, -501, -583?\n\"Answer: d**2 - 93*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 232*s - 4. What is the tens digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -986917 - -986927.90493. Let m = 6155.9 + -6145. Let u = m - x. Round u to 4 dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from aeca?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 681*f - 681*f + 6470*f**3.\nAnswer: 6470*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-1) - -5 - (-3)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y + 10. Calculate the remainder when r(10) is divided by 1\/(3\/(48\/1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(68)*-1)\/sqrt(4) - ((sqrt(153) + -2*sqrt(153))\/sqrt(9) - (sqrt(17) + 1 + 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 160548006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 7, a: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -69.5\nAnswer: -208.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -2*j + 166, -691 = -38*j + 9*j + 7*s + 10*s - 3*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -133 - -135. Suppose k + x + 26 = l*k, 4*x - 144 = -4*k. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-117)\/(-6)*(-1 + 20\/12). Let w(g) = -g + 56. What is the remainder when 85 is divided by w(y)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 32 = -425398*v + 425396*v, -4*v + 5*k - 86 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.06*108\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7121.5 - 2179.6. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -62951 - -62950.999756572. What is h rounded to six dps?\nAnswer: -0.000243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -4 + (-5 + sqrt(112)*-2)**2)*2*-4.\nAnswer: -3760 - 640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 93045319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.9477048 milliseconds to days.\nAnswer: 0.00000008041325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 54 + 56 - 112 + n. Let u be h(4). Factor -30*x**3 + 25*x + 10*x**2 + 3*x**4 + 11*x + 6*x**4 - 12 - x**u.\nAnswer: 3*(x - 2)**2*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 19 = 4*d - 2*f, 2*f + 4 = -2*d. Suppose d*l + l + 2*o = 14, -4*o = -20. Let b = 7 - 2. Put 0, b, l in increasing order.\nAnswer: 0, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6242 is divided by 249?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 37464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b**5 + 150*b**4 - 1725*b**3 + 9400*b**2 - 24000*b + 23040 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1303 + 1310. Solve -4 = 3*w + c, k = 3*w - 3*c - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from qqqqqqqqqqqm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 155.694 * 0.4.\nAnswer: 62.2776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14802026249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/3 - (-16)\/(-24). Let m(x) = 3*x**2 + 4*x - 4. Let h(d) = 8*d**2 + 11*d - 11. Let q be ((-2)\/6)\/(-1*1\/33). What is f*h(p) + q*m(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 80\/(-4) + -13*222\/481?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2032 + -0.098992.\nAnswer: 0.104208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300*w + 7529184 = -50*w + 166*w. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 2:29 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1060 (base 11) to base 13\nAnswer: -836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 666181003301 less than 3?\nAnswer: -666181003298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from hhjjxxjdljjj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 102367, 204725, 307085, 409447, 511811, 614177?\n\"Answer: d**2 + 102355*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 11*p - 26. Let w be j(-4). Let c be (4 - w) + (2 - -2 - 3). Determine k, given that 2*k**2 - 26*k**2 - 287*k**4 + 4 + 32*k**c + 275*k**4 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -4*l**5 + 86236*l**4 - 620608776*l**3 + 1497259138752*l**2 - 45758435673600*l - 150767402692608 = 0.\nAnswer: -3, 34, 7176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-10)\/(-15))\/((-12)\/54).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 127*p - 187*p - 179*p - 868*p in the form l + r*p and give r.\nAnswer: -1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 10) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 4*k**2 + 11*k + 2. Let j = 19 + -18. Let o be (j - 0)\/(1\/(-8)). Let i be f(o). What is the greatest common divisor of i and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -178*h*u**2 - 1158*u**2 wrt h?\nAnswer: -178*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k - 2. Calculate the remainder when 62 is divided by x(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence onxo when four letters picked without replacement from zzoozoooxzzxooznxo.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 1694732 - 1694724 - a**3 - 20*a + a**2 + 5*a in the form n*a**3 + x + t*a**2 + g*a and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 642382 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1069213, 1069236, 1069259, 1069282, 1069305?\nAnswer: 1069328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 o when four letters picked without replacement from {q: 17, o: 3}?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/2463 and 49\/3284.\nAnswer: 9852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - -293. Suppose -f - 5*m = -219, 0 = -f - 4*m - 95 + r. List the prime factors of f.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 0 - (68 - 75).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -18*w**2. Let i(r) = -1213811*r. What is n(i(o))?\nAnswer: -26520068586978*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 226*i + 35888 = 3*s + 221*i, 0 = 2*s - i - 23916. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 287528, 575054, 862580, 1150106?\nAnswer: 1437632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 - -149?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 2*z**2. Give p(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.3, -2\/23, -0.06, 35, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 14  (b) -2\/5  (c) 2\/11  (d) -0.2  (e) -2\/2599\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -79 + 35 + 44 + 2*x**2. Let l(b) = -38*b - 3. Let q(g) = 3535*g + 280. Let j(c) = 280*l(c) + 3*q(c). Calculate j(y(m)).\nAnswer: -70*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wvv when three letters picked without replacement from vvvwvwvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221101120102 - -11012?\nAnswer: -221101102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2407104 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -11\/3  (c) -5  (d) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4268 is divided by 130?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of u + 1. Let l(v) = v**2 - 2*v - 5. Let a be ((-2)\/6)\/(6\/(-18)). Give a*l(c) + 6*o(c).\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 + j + 20. Let f be 0*(-1 + 6\/4). What is the lowest common multiple of 22 and h(f)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the first derivative of 36*c - 57 + 0*c**4 + 0*c**3 - 11\/5*c**5 + c**2 + 1\/6*c**6. Find the second derivative of x(q) wrt q.\nAnswer: 20*q**3 - 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/((-150)\/(-38) - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.7 and 8.36.\nAnswer: 30.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2425 and 59930.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1611680 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30068240?\nAnswer: 2, 5, 17, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 10. Let g = -68 + 78. What is the smallest common multiple of d(0) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 306, 359, 360, 309, 206, 51, -156?\n\"Answer: -26*l**2 + 131*l + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 99500 to the nearest 1000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**2 - 2*p + 8*p**3 - 2*p**4 - 502 - p**2 + 495 to x*p + k*p**2 + y + h*p**4 + c*p**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4723\/2 - 2348. Which is the third smallest value?  (a) -1  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from jsetwwi.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28967.913 months to decades.\nAnswer: 241.399275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -15\/2. Let j be -2 + 18\/22 - -1. Which is the closest to 1?  (a) 2  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3 or -380?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 257988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 327 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 4*x - 1284, t + 3*x - 649 = 621. Suppose 7406 = 10*l + t. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -19*z + 9. What is l(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 3*w**2)*(-2 + 1 - 5) - 6*w**2 + 0*w**2 + 4*w**2 + w - w - w**2 + (-3 + 3 - 2*w)*(-2*w + 4*w - w) to i*w + p*w**2 + z and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 150*g*u - 11*g + 2460*u wrt g?\nAnswer: 150*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 47 + 155 = 2*t, -t = -2*v - 103. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - 5) + 9 + (-2 - -4) + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 15613, 15617, 15623, 15631, 15641, 15653, 15667?\n\"Answer: i**2 + i + 15611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 6:18 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -3*f**3 - 2*f - 1. Let k(p) = -2 + 3*p**3 - 4*p**3 - 4*p**3 - 8*p**3 - 4*p + 6*p**3. Determine -5*g(t) + 2*k(t).\nAnswer: t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 133.9509 + -2.0039. Let t = 132 - s. Round t to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.2 - 15.5. Which is the second biggest value?  (a) -1\/8  (b) y  (c) -1\/3  (d) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47279 - 45101 = 66*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 + 2*p**3 - 3*p**3)*(-2*p + 1 - p + p) + (-11*p - 6*p - 25*p)*(5 + 2 - 4)*(-2*p**3 - p**3 + 4*p**3).\nAnswer: -116*p**4 - 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -635\/8 + 79. Let i be ((-2)\/9)\/(348\/(-36) + 11). Let x be (-1)\/3 + 1 + 0. Which is the closest to -1\/8?  (a) i  (b) x  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1576338 is divided by 525413?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -5*r**3 - 5*r - 5. Let w(s) = 4*s**3 - s**2 + 4*s + 4. Let l(b) = 6*w(b) + 5*x(b). Let v = 15 - 21. What is the units digit of l(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + t + 4, -m = -6*m - 2*t - 8. Let -3\/4*v**3 - 1\/4*v**4 + 0 + v + m*v**2 = 0. Calculate v.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kqq when three letters picked without replacement from {k: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence owz when three letters picked without replacement from wowooooooowoowwzow.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g + 2, 2*l + 2*g = 3*l + 6. Let r be ((-1)\/l)\/(13\/130). Suppose -6*t = r*t - 31867. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 20 = 3*m. Solve -r = n - 2, m*r + 4*n = 3 + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8463 + -6893. What is the greatest common factor of 1727 and j?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 230581 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13 + 2 - 12)*(-7 + 2 + 2)*(7*w**2 - 6*w**3 - 7*w**2) to the form g + v*w + p*w**3 + y*w**2 and give p.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 8*r**3 - 9*r**2 - 8*r + 9. Let c(a) = a**2 + a - 1. Give -18*c(o) - 2*s(o).\nAnswer: -16*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -12. Let a = -6 + m. Suppose -5*k + a = -3. Is k greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 171.071 + -171. Let n = 0.571 - k. Which is the nearest to 1?  (a) n  (b) 1\/3  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1*y**(-1\/7)*(y*y*y\/y**(-3))\/y**(-2))**(5\/11))**15 assuming y is positive.\nAnswer: y**(4650\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(132))\/(-4*(sqrt(12) - sqrt(192))).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -68, -249, -550, -971, -1512, -2173, -2954?\n\"Answer: -60*z**2 - z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8*3\/24)\/(-12)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-59)\/(1711\/87)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 - 3*n**2 + 4*n - 5. Let z be f(-4). Let v = 7 + z. Solve 6 = d - 3*y, -v*d - 10 = 2*y + 3*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*c**2 + 155263*c + 24 - 155263*c + 13*c**2.\nAnswer: 42*c**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -229, 65, 50.\nAnswer: -229, 50, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + 89*k**2 + 867*k - 183. Calculate p(-9).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 727*v**2*w**3 - v**2*w - 3*v*w**3 - v*w + 9*w**3 - 3*w**2 + 25 wrt w.\nAnswer: 4362*v**2 - 18*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1433532337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/18 + (838\/(-36) - 6). Is -29 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3310440044 (base 5) in base 13?\nAnswer: -1625a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 1393?\nAnswer: -5\/1393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 198 and 594.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 2 + -4 + (-12)\/(96\/40).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -600 - -606. Let c(p) be the second derivative of -11\/15*p**3 + 0 + g*p + 2\/5*p**2 + 7\/30*p**4 - 3\/25*p**6 + 11\/50*p**5. Find b, given that c(b) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -d5ae1 (base 15) to base 2.\nAnswer: -10100101011001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 6*o = 4. Solve -o*u + 7 = -5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5 - 41 = 0. Let u = w - 25. Which is smaller: u or -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.3  (b) 7  (c) 15  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98 - 16*s + 34 + 33 + 28.\nAnswer: -16*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-2)\/(-9)*78\/(-364)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1344519 by 503.\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*l**3 + 2 + 0*l**3 - 2 + (-1 + 1 + l)*(0*l**2 + 5*l**2 - 4*l**2).\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-10))\/(((-165886)\/(-1230))\/(-289)) + 1 + -41\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*f + 21, m - f = 4*f - 28. Let q = m + 9. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 8) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54247 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/16 and -149\/3945630?\nAnswer: 31565040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4900 and 69776.\nAnswer: 1744400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (9*4\/24)\/(30\/((-1620)\/(-9)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 14\/18 + (-12)\/(-54). Let d = 0 + x. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 2 - -5) + (-53 - -84) + -12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -560 + 588 - (0 - (-130 + 1))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-233*h**2 + 2*h + 2*h + 231*h**2)*(0 - 2*h + 0).\nAnswer: 4*h**3 - 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5623 = 4*v, -s + 4149 = 4*v - 1476. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -19*y**2 - 13*y**2 + y + 10*y**2 + 208*y**3 + 51 - 207*y**3. Let o be (24 + -2)*(-1)\/(-1). What is the units digit of s(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 8:51 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53 (base 10) to base 3.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 75*n**2 - 73*n - 69. Let x be w(74). Suppose a + 3*f - 2 = 0, -8 = 3*a + 3*f - 26. Sort 1, x, 3, a in descending order.\nAnswer: a, x, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 3*n + 0*n)*(-n**3 + 4*n**3 - 2*n**3) + 3*n**4 + 0 - 4*n**4 - 2 + (-4*n**2 + 4*n**2 + 2*n**2)*(0*n**2 + 5*n**2 - 3*n**2).\nAnswer: n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 8*d**2 + d - 5*d + 7 - d - 17 - d**3. Let j be f(7). Solve r - j*r = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5276*z - 31641. Determine v(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 319 - 781 = 0. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205212627 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2402669 is divided by 2556.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 0*h**2 - h - h - 4 + 3 + 3*h**2. Let l(f) = 4*f**2 - 3*f - 1. Let g(p) = -p**2 - 6*p + 11. Let n be g(-7). Give n*l(b) - 5*d(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1612 + 1662. Calculate the highest common divisor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 245, 1013, 2301, 4103, 6413?\nAnswer: 9225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, 6300, -2, 0, 1, -3 in ascending order.\nAnswer: -20, -3, -2, 0, 1, 6300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014733 to 4 decimal places.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3052 + 3051.994608. Round q to four decimal places.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 9*m**2 - 5*m + 2. Let p be r(1). Let k be ((-1)\/p)\/(9\/36)*3. Suppose 2*f + 3*a + 5 = 0, 4*f - 3*a - 2 + 3 = 0. Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1740 is divided by 432.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, s: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*u**2 - 17 - 2*u**3 - 13*u**2 + 3 + 27*u**2 + u in the form q + g*u + h*u**2 + a*u**3 and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3381843937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -14\/19, 4, -1 in decreasing order.\nAnswer: 4, 0, -14\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-60)*((-8)\/(-4) - 3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 2*j + 0*j)*(-6*j + j + 3*j)*(7 - 2 + 6) + 0*j**2 + j**2 + 2*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -47, 105, -0.02?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2505463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kxz when three letters picked without replacement from xqzgk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 19*d**2. Let c(q) = -7*q**2 + 10*q - 10. Let u(h) = 12*h**2 - 18*h + 18. Let s(x) = -9*c(x) - 5*u(x). What is v(s(t))?\nAnswer: 171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*z)*(0*z**2 + 0*z**2 - 5*z**2 + z) + 3*z**3 - 14*z**3 + 33*z**3 to the form c*z**3 + k*z + g*z**2 + i and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t = -17*t - 3*z + 20, 2*t = 4*z + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**3 + a**3 + a**3 - a**2 + (-6 - 4*a**3 + 6)*(-3 - 1 + 3).\nAnswer: 5*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1012322121300211 + -11?\nAnswer: 1012322121300200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9790, -9788, -9784, -9778?\n\"Answer: y**2 - y - 9790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 + 3*q + 7. Let x be y(-5). Suppose x = 2*i + 3*a, 4*a + 18 = 3*i + 1. What is the third smallest value in 0, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, s: 10}. What is prob of picking 2 b and 1 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.469939 - 0.47. What is p rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2547072 (base 9) to base 6\nAnswer: -45441015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130 + 112 = -9*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*t + 2*j = -19*t + 52848, -8*t - j = -211357. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -11*w**2 - 486*w + 4. Let z(n) = -31*n**2 - 1456*n + 12. Give 17*v(f) - 6*z(f).\nAnswer: -f**2 + 474*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -y + 2*x + 26, 5*x = -3*y - 7. Suppose -2*h + 16 = -2*z + y, 5*z - 4*h = -20. Suppose f - 2*f + 51 = z. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 71003256 by -8.\nAnswer: -8875407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-3))*u*u\/((u\/(u\/u**4))\/u))\/(u**(1\/5)*u\/u**5) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 490*h**3 + 11*h**2 + 22*h - 2075. Let y(x) = 162*x**3 + 4*x**2 + 8*x - 691. Let d(t) = -4*s(t) + 11*y(t). Differentiate d(r) wrt r.\nAnswer: -534*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2473 - -141\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7.12 in -4, -0.5, 2\/41, -6\/11?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + 44\/3. Let b = -4.03 + 0.03. Let v = b + 3.7. What is the closest to -2\/7 in v, 2\/5, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1661 + 1614.66. Let t = -47 - l. Let f = -6.66 - t. What is the closest to 2 in 2, f, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 169 + 4. Let j = u + -173.3. Which is bigger: j or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -912 + 967. Calculate the remainder when 109 is divided by s.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16635\/(-3327)*1\/115.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from lieiuciii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1557875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*s = 36, -4*h + 51 = -4*s - 1. Calculate the lowest common multiple of h and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16786233 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h**4 + 3*h**3 + 4*h**2 + 3*h. Let j(x) = 5*x**4 - 2*x**3 - 3*x**2 - 2*x. Let m(o) = -6*j(o) - 4*y(o). Find the third derivative of m(k) wrt k.\nAnswer: -336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12639121, 25278239, 37917357, 50556475, 63195593?\nAnswer: 75834711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g - 900 = 620. Calculate the least common multiple of (-2 + 0\/(-1))\/(-1) and g.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kpggpkgpcpgpkp. What is prob of picking 1 k and 2 g?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 96 - (11 - (-9 + (13 - 15) + 8)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00216613 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b**2 - 3*b + 8. Give f(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 210*x**2 + 201*x**2 + x**3 - x - 414*x**2. Calculate t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 9*j**2 + 97*j + 15. Is v(-20) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*p = 230*p - 4250 + 890 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -719, -729, -745, -767, -795, -829?\n\"Answer: -3*o**2 - o - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303117449?\nAnswer: 43, 683, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and -7.41.\nAnswer: -10.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 31787  (b) 2  (c) -2  (d) -0.4  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 383965612 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 311016 and -35.16.\nAnswer: 310980.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 24 = -2*l, 0 = -0*g + 5*g. Let h = 229\/3 - 1657\/21. What is the common denominator of h and (-1)\/(-4) - (-127)\/l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 (base 12) in base 14?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/1)\/(0 + 2). Let k = 79 + -3. Let y = 75.9 - k. Which is the closest to y?  (a) h  (b) 8  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11072 = 795*c - 1487*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44.58 * 0.01.\nAnswer: -0.4458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 177 by 5.\nAnswer: 177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 2*a = 13*c + 3*a - 0*a - 105, 12 = -4*a for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -535*x + 14981655 = -496*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -5*x + 10 + 1, -2 = -2*m + x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5876 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -248 = 6*k - 920. Suppose -p + 3*p = k. Is 56 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 33*f + 3. Determine u(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 170*u**2 + 15 - 25 + 5*u + 12. Let v be f(-1). Suppose -4*x + 124 = 4*q - 88, v = 3*q - 5*x. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 0*w + 8 = 2*i, w + 23 = 3*i. Let u = 9 - i. Suppose -6*d + 2 = 8. Sort u, d, 5 in decreasing order.\nAnswer: 5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5222.\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1258 - -1328. Suppose -4*x + 80 = -0*x - 4*t, 3*t = 0. Calculate the greatest common factor of k and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8808, 35229, 79264, 140913, 220176, 317053?\nAnswer: 431544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 12:05 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*c + 4*k + 10, 0 = -4*c - 4*k + 12. Let p(o) = -o - 1. Let l be p(-5). Suppose -5*n + 3*a = -12, 8 = 5*n - n - l*a. Solve n*h - c*h = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f**2 - 162*f + 603. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2 = 1. Solve 4*p + z = -2*v - 1, 3*p + 5*v = 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -58 + (46 + 12 - 46).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 - 75. Let k = -18.59 + q. Round k to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(25)\/(sqrt(500) - (sqrt(500) - (sqrt(500) - (sqrt(500) - sqrt(500)*1)))) + 4.\nAnswer: sqrt(5)\/10 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a**2 - 505*a. Let o(x) = 10*x. Calculate s(o(w)).\nAnswer: -300*w**2 - 5050*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, 56, 0 in ascending order.\nAnswer: -1, 0, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 9, r: 9}. Give prob of sequence rwr.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13519*o + 20 = 11807*o - 109548 for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -19.67 - 6396.\nAnswer: -6415.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + (sqrt(1584)*-2 + -4)**2.\nAnswer: 192*sqrt(11) + 6348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + 16 + -53 - (1 - 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -89.54 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14511.\nAnswer: 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1854*t**3\/7 - 5559*t**2\/7 + 18549*t\/7 - 30\/7 = 0.\nAnswer: -5, 1\/618, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -567*g - 15 = -572*g. Suppose 4*c = -2*z + 2*c + 1610, -4*z + g*c + 3241 = 0. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -148815 smaller than -148815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.1  (b) -8  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6052  (b) 2  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/13*(-18)\/(-4) + 342\/(-42)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000003175 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -0.038  (c) -0.124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3)*(o\/(o**(2\/31)*o*o))\/o*o**(2\/11)*o**(-1\/5))**(-2\/7))**(1\/3) assuming o is positive.\nAnswer: o**(2476\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 135 divide 32805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*v + 9*v + 12*v + 2 in the form n + y*v and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -53810.9019 to the nearest ten.\nAnswer: -53810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -6, 8.5, -3\/2, -764?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.031 - -13.569. Let y = 13.7 - j. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 117, 276, 435, 594?\n\"Answer: 159*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0.1, -0.02, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 167, 169, 173, 179, 187?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -23*z**2 - 2*z - 2. Let g be d(-1). Let h be (-25)\/6 + 59\/(-6) + 22 + -12. Sort h, -5, 2, g in ascending order.\nAnswer: g, -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/580925 and 61\/627?\nAnswer: 19170525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 3*p = -319 - 205, 3*b = -5*p + 364. Suppose -2*u = 4*n - b, 0 = -3*n - u + 5*u + 96. What is the remainder when 126 is divided by n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -236 (base 8) in base 4?\nAnswer: -2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 - 537*m + 334. Calculate a(83).\nAnswer: -2903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.925796, -1, -0.5 in decreasing order.\nAnswer: -0.5, -1, -1.925796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -428803\/83 or -5167?\nAnswer: -5167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {t: 9, o: 9}?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26*a**2 - 60704*a - 214574 wrt a.\nAnswer: -52*a - 60704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 11 + 10 = 0. Let j be (-4)\/(-14) + 1896\/n. Let s be j\/(-2 - 1003\/(-500)). Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -13*f. Let d = 30 - 42. Let z be d\/(-8)*2\/(-3). What is l(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 6*n**2 - 2*n - 1 + 52*n**3 + 6 - 4 - 4*n**2. Let q be y(1). What is the smallest common multiple of ((-98)\/35)\/(-7) - q\/(-5) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 646 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/23)*w\/((w*w\/(w\/w**24))\/w))**(-36))**(1\/75) assuming w is positive.\nAnswer: w**(6384\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h - h - h + (-3*h + h + 4*h)*(2 - 3 - 2) + 0*h - 2*h + 0*h + (-1 - 6 + 2)*(h - h - h - 1) to n + i*h and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -5*n + 1275, -n + 820 - 53 = 3*i. Suppose i = 2*d + 5*f, 2*f + 41 + 599 = 5*d. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.0538, -4, 1, -5, -0.2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 - -46. Suppose 0 = -b*w - 6 - 44. Sort 1, -5, w, 2 in decreasing order.\nAnswer: 2, 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -12 + -3 - -16\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3931737235 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 760\/(-570)*(-4 + (2 - 1)). Solve -5*v = -5*h, 22*h + w = 18*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 260521852573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*m + 155*m = -110*m - 17818 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10 - -35) + 5 - 25 - -6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 19559*v**2 - 7 + 19572*v**2 - 39056*v**2 as x*v + n*v**2 + a and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 2*v**2 - 9*v - 4. Let o be r(-4). Suppose 0 = -2*a - o + 24. Let m be (-118)\/(-10) - 2\/(-10). What is the highest common divisor of a and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 502554 and 156.\nAnswer: 1005108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 - 18. Let j be (-10)\/(-2) + (-1)\/1. Suppose 0*p**4 + j*p**2 + 4 - y*p**2 + 4*p + p**4 - 2*p**3 = 0. What is p?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 a factor of 760254083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*l + 368*l**5 - 217*l + 4*l - 2*l**3 - 310*l**5 wrt l.\nAnswer: 1160*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2153 - 3*y + 2*y + 327.\nAnswer: -y + 2480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 319891 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -732, -756, -780, -804, -828, -852?\nAnswer: -876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, o: 1, p: 3, d: 5, e: 1}. Give prob of picking 1 e, 1 p, 1 w, and 1 o.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*a - 3 = 4, -4*i = 3*a - 8. Suppose i*m = -4 + 19. Find the second derivative of -3*q + m*q**2 - q**2 - q**2 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 6 = 2*u, 6*u + y = u + 42. Let m be (u\/(-10))\/((-4)\/10). Find the first derivative of 0 + m - w**4 - 1 wrt w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 358.058 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 163  (b) -1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 264354073 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 8 = 5*d + 2, 4*d - 23 = 3*t. Suppose 3*q = m - 0*q - 17, d*m = -2*q + 26. What is the highest common divisor of m and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -2*d - 43. Let o be p(-23). Let i(w) = w**2 + 5*w + 1. Let n be i(-6). Let u = -2 + n. Is u greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -0.287846?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 10*p**2 + 8*p + 13. List the prime factors of x(-11).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 10*h - 2. Let t(y) = 6*y - 5. Let n be t(3). What is the units digit of k(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -205092, -205094, -205096, -205098, -205100, -205102?\nAnswer: -205104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1587\/4 + -397. Suppose -3*f - 12 = f. What is the second smallest value in f, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of 0*j**3 - j**2 - 1\/20*j**5 + 0*j + 0*j**4 + 0. Let h(d) = -14*d. Determine v(h(w)).\nAnswer: -588*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-24)*(75\/(-10))\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 160 - 162. Let t = 4.5 + -4.5. What is the nearest to 0.1 in f, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 121127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -422 divided by -107446\nAnswer: 211\/53723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 2:04 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 45818 at least as big as -1\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 2 - -2) + 2. Let t = 5 + a. Suppose 3765 = 18*q - t*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ckcc. Give prob of sequence kcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5703269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.064 + -1.064. Which is the fourth biggest value?  (a) 1\/2  (b) 1\/5  (c) 2\/7  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 6*b**3 + 23*b**2 + 4*b + 4. Give m(-4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -13*x**3 - 113*x**2 - 7*x - 2287. Let i(v) = 22*v**3 + 194*v**2 + 12*v + 3812. Determine -7*i(s) - 12*m(s).\nAnswer: 2*s**3 - 2*s**2 + 760","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f. Let a be y(-4). Let j be (-6 - a)\/(2\/(-3)). Solve -j*k = -2*w + 1, -8 = -w - 3*k + 2*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1273407 divided by -424469\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5450)\/12 - (3 - (-38)\/(-12)). Let x = 936 + d. What are the prime factors of x?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 25*q**6\/2 - 156*q**5\/5 + 87*q**4\/4 - 2*q**3 + 77. Factor f(l).\nAnswer: 3*l**2*(l - 1)**2*(25*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*i = -5*r + 59106, 14781 = r - 4*i. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 256217096?\nAnswer: 2, 32027137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -16347.31142 rounded to the nearest 10?\nAnswer: -16350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(324\/8)*6\/2934)\/((-27)\/243).\nAnswer: 2\/489","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) - (sqrt(18)*2 + sqrt(18))*5)\/(sqrt(36)\/sqrt(16)) - (-3*(sqrt(200) + -1 - sqrt(2))*2)**2)*1.\nAnswer: -5868 + 620*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -32 - -51. Let t = p - 21. What is the tens digit of (-20)\/(-6)*(t + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 424494 and 432?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, -5, -893, -20, -1 in decreasing order.\nAnswer: 1, -0.5, -1, -5, -20, -893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (1 - (-8 - -4) - (-2 + 0))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 12 + 6 = 0, 3*s = 2*o + 36. Calculate the highest common factor of 270 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 - 2*m + 3. Let v be 42750\/45600 - ((-58)\/(-96) - 2\/3). Let b(z) = -1. Let c(g) = 5. Let t(p) = 6*b(p) + c(p). Calculate v*w(l) + t(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 186 - 24. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 6*a**3 - 6 - 4)*(1 + 1 - 4) + (-15*a - 3*a + 10*a)*(-2*a**2 - 10*a + 10*a).\nAnswer: 4*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -231785259 divided by -77261753\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -3\/2, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvrvnjnsjtjtrv. Give prob of picking 1 s and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*j, 150*j - 2*s = 153*j - 5. Let w(q) be the first derivative of q**2\/2 - 5*q + 1. Let d(p) = 4. What is j*d(f) + 4*w(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1564 - -1556. Which is the closest to -0.1?  (a) -2  (b) 1\/2  (c) -5\/2  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229 + 79 = -3*v. Suppose -34 = -2*d + d. Suppose -4*x + 3*w = -d, x + 3*w = -2*x + 36. What is the greatest common divisor of x and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-46 - -4) + (525 - 532)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) -2.8  (b) 2  (c) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**3 + 2*w**3 - 3*w**3)*(1 - 5 + 2) + w**3 - w**3 - w**3 + (-2*w**2 + 2*w**2 + w**2)*(4 - 4 - 2*w) - w**3 - 2*w**3 + 2*w**3 + 9*w**3 - w**3 + 10*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-5*(sqrt(102) - (sqrt(102) + sqrt(102) + (-3*sqrt(102)*-3 - sqrt(102) - sqrt(102)))))\/(3*sqrt(486)*-2 + sqrt(486) - 3*sqrt(486)*-2).\nAnswer: -40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.2 - -3. Let m = 0.3 + z. Let q = -2.9 - m. What is the biggest value in q, -2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -35, -30 in descending order.\nAnswer: 5, -2, -30, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41587416 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5\/2, -2\/39, 0.1, 5, 132.4?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**2*s - 23659737*l**2 + 68870*l*s**2 + 3*s wrt s.\nAnswer: l**2 + 137740*l*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 91542*g + 97747?\nAnswer: 91542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3606*h**2 - 3231*h?\nAnswer: 7212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5056320 divided by 5267\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*z - 5 = -161 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 232875 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -346 + 345. Put -2, -411, m in decreasing order.\nAnswer: m, -2, -411","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*b = 19*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwqqwqwqwwgwwqgq. Give prob of picking 1 w and 2 g.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 320480 is divided by 160235.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 124962857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -14*a - 295. Determine n(-31).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00085459 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -7*t**2\/2 + 74*t - 151. Let l be f(11). Which is the smallest value?  (a) -15  (b) l  (c) 0.5  (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000117309 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -4*h**5 - 48*h**4 + 24*h**3 - 80*h**2 - 44*h + 4. Let i(l) = l**4 - 5*l**3 - l**2 - l - 1. Let u(m) = -g(m) - 20*i(m). Factor u(y).\nAnswer: 4*(y + 1)**3*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h**3. Let g be q(-1). Let v be (-225)\/(-60) - g\/8. Differentiate -3*t - 3*t + v*t - 5 + 4*t wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j - 3479 = -839. Find the common denominator of 6\/5 - (-11208)\/j and 85\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*o - 12. Suppose 2*q + 2*q = -3*h + 15, -4*q + 24 = o*h. Suppose 3*b = 6*b + h. Put b, -4, -2, 1 in increasing order.\nAnswer: -4, b, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 70 divided by -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - -6) + -6 + 739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 182*c**3 + 13*c**2 + 7. Is b(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3442*s**2 - 1054*s + 3263*s + 1142*s wrt s?\nAnswer: 6884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (87\/(-232))\/((-3)\/216)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 8*n. Let c(m) = -m. Let o(v) = -12*v. Let b(d) = 30*c(d) - 2*o(d). What is x(b(k))?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5, q: 14}. Give prob of sequence ppp.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 6 = -2*p, -p + 13 = -68*u + 71*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*s = -21*s + 426 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 6, t: 4}. What is prob of sequence cttt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.42475 or -309?\nAnswer: 0.42475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3900*w**3 - 3898*w**3 - 2*w**4 + 7794*w**3.\nAnswer: -2*w**3*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-280)\/15)\/((-6)\/9). Let c = -26 + m. Let w(l) = l**3 - l**2 - l + 1. Calculate w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 432*x - 35904 = 415*x. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 1980440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 4*t**4 + 13088*t**3 + 10719064*t**2 + 21398880*t + 10692900 = 0.\nAnswer: -1635, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**2 - 1. Let k(a) = -15*a**2 + 2. Let b(n) = 4*i(n) + 2*k(n). Let q(u) = -5*u. What is q(b(m))?\nAnswer: 130*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 12895\/5158*(-46)\/5\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 1 u, and 1 o when three letters picked without replacement from ouuvugogoz.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.3  (b) 40  (c) -5  (d) 5\/3  (e) -1  (f) 57  (g) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 260 (base 13) to base 10\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 3*y + 76. Let b(o) = 5*o + 0*o**2 + 3*o**2 + 0 + 4 - o**3. Give b(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 6*v**2 + 2*v - 1. Let l be b(-5). Let w = l - 26. Is 3\/w + 133\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -66, -119, -184, -255, -326, -391?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 158367343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -4*f**3 + 636*f**2 + 455940*f - 91295100 = 0.\nAnswer: -351, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 5, -0.1, -4, 3, 0.1, 8, 57\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 23123 (base 4) to base 10\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.01, -84, 0.02, 1\/12?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 0)\/(1\/4). Suppose -o - 21 = -r - 4*g, -5*r + 4*g + 53 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/6)\/((-813)\/(-542))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a millennium in decades?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (7 + 2)\/(4\/(8\/(-13))). Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -199, -799, -1799, -3199?\n\"Answer: -200*w**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94.971 + -0.029. Let z = -95.00215 - b. What is z rounded to 4 dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -17. Let u be (-2)\/((j + 4)\/4). Suppose -u*v + 0*v - s + 71 = 0, -2*v - 4*s = -62. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -585*b = -1583*b - 998 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 95 a factor of 120258505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 plus -65?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(-4*d**3 - 3575*d**2 + 3575*d**2 + 10).\nAnswer: -8*d**3 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 7:46 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**9\/r)\/(r\/(r*r*r**(-15)*r*r)*r) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by -954.\nAnswer: 10\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/16 and 93\/56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -7. Let c(b) = 65*b - 42. What is -42*a(n) + 7*c(n)?\nAnswer: 455*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 1. Let u = -5.6 - n. Let h = 1 - -4. What is the nearest to 0.1 in u, -2\/5, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, 3\/2, -1\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/59703 and -86\/42645.\nAnswer: 298515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 - 2)*(-2*q**3 + 2*q**3 + q**3)*(6 - 5 - 3) + (60*q + 60*q - 113*q)*(-8*q**2 + 11*q**2 - 8*q**2) as h*q + x*q**3 + d*q**2 + o and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, -92, 4, 10, -7\/2, -0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(4\/7))**(-6\/35)*((g\/(g**(1\/11)*g*g*g*g))\/g*g)\/(g**(3\/4)*g*g) assuming g is positive.\nAnswer: g**(-63757\/10780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -13131 (base 4) to base 3\nAnswer: -122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30152, -63190, -96230, -129272, -162316?\nAnswer: -195362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -d**5\/20 - d**4\/4 - d**3\/4 + 93. Determine c, given that f(c) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:34 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + 3 - (-2 + 10\/4)\/(1 - 2).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 160 - 116.08. What is i rounded to 0 decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -143369673*j**3 - 81489282*j wrt j?\nAnswer: -860218038*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -990800, -990899, -991064, -991295?\nAnswer: -991592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3681729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -108822  (b) 0.3  (c) 1\/5  (d) 439\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -j**4\/6 + 2*j**3\/3 + 11*j**2\/2 - 6*j. Let w(q) = 2*q**2 - 4*q - 10. Let t(b) = -6*w(b) - 5*z(b). Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 502.1, 0, 3, -0.05, -6, 0.1 in decreasing order.\nAnswer: 502.1, 3, 0.1, 0, -0.05, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q + 10*q - 33208000 = 0. What is q rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 6:55 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10120113 (base 4) to base 2.\nAnswer: -100011000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 520188*f**2 + 7*f + 14*f - 520203*f**2 to m*f + c + a*f**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/2)\/(3\/2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 17, k: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-35*b + 61*b + 280 - 28*b)*(-3 + 6 - 1 - 2*b + b**3) as x*b + c*b**2 + f*b**4 + h + s*b**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5, -1599, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 24*y + 2363 = 0. Let w = -5 - -10. Suppose 3*d - 4*x = -9 + y, 182 = w*d + 2*x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -513967\nAnswer: -4\/513967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 7*m**2 - 21*m - 22. Let t(o) = 2*o**2 - 7*o - 13. Let r be t(4). Let w be g(r). Solve k - 5*f - 23 = 0, f + 21 - w = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3515.952 and -0.3.\nAnswer: 1054.7856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 6*v**2 + v + 2. Let m be k(-6). Let f(t) = -t. Let a(l) = -6*l - 1. What is m*f(h) + a(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 53930*j - 26965*j - 26965*j.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1606*y**2 + 3091*y?\nAnswer: -3212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236*g + 1590 + 1092 = 120*g - 182*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x. Let a(f) be the first derivative of -43*f + 5*f**2 + 43*f + 9. Calculate m(a(w)).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 3:18 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -21*i**5\/20 + i**4\/12 - i**3\/6 - i**2 - 18*i. List the prime factors of f(-1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -705232*u*x**2*z**2 - 2*x**2*z**2 - 6*x**2*z + 568*x - z**2 wrt u?\nAnswer: -705232*x**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 0*a + 235*q = a + 233*q + 5, q + 14 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3968 or -2\/5493?\nAnswer: 3968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*b**2 - 2*b**2 + 0*b**2 - b**2 + 1526.\nAnswer: b**2 + 1526","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/2135 < -79033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5 = -2*y + 18, 4*y + 9 = a. Suppose -16 = a*j + u - 57, 2*u = 2*j - 26. Solve 0 = -3*g - j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7 and 1.011.\nAnswer: -5.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -4*t - 28, -2*t - 20 = 3*t + 2*r. Let o be (-2)\/(1*t\/2). Let m(x) = 4*x**2 + 4*x**3 - 3*x**3 + 1 - o*x - 3*x**2. Give m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (30\/(-165))\/((-52)\/44)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, 0, -14.2, -9, 4\/3, 0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5990, -6719, -7450, -8183, -8918, -9655?\nAnswer: -10394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from abbddbbggbbgbbbg. Give prob of sequence dbdg.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30705659?\nAnswer: 443, 69313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s - 10. Let h be b(5). Let n = 185 - 101. Let y = n + -84. What is the nearest to 0.1 in 8\/7, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101051.1 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8779166 and 2296?\nAnswer: 245816648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1222652428 to the nearest integer?\nAnswer: 34966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(45\/10*-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + j + 49670 = -g, 5*g = 3*j + 149002. Let f = 32331 - j. Round f to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 184545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u**3 + u**3 - 5*u**3 - u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 299.140434 and -2?\nAnswer: -598.280868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/2, 5\/4, -4, 32?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -x, -170 + 164 = 3*r + 3*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -19. Suppose v = -4*g + 1. Let i(f) = -6*f**2 - 21*f - 17. Let n(u) = -3*u**2 - 10*u - 8. Let j(h) = -6*i(h) + 13*n(h). Give j(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 5, a = 5*q - 2*q + 15. Let f = 4 + a. Let i(k) = k**3 - 6*k**2 - 13*k + 54. Calculate the lowest common multiple of i(7) and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -3. Let o = -221 + 1550\/7. What is the nearest to y in 0.3, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, 4, -197, -3 in increasing order.\nAnswer: -197, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (1629\/3982)\/((-12)\/22)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -5. Suppose 0 = 3*q + 3*m + l, -4*m = -0*q + 3*q + 4. Suppose q*w - 12 = 4*w. Sort -5, 4, w in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6920\/75*9\/4. Let g = l - 207. Sort g, 1, 0 in descending order.\nAnswer: 1, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25.88096812 to 2 decimal places.\nAnswer: 25.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 79299\/14 + -5659. Find the common denominator of 107\/714 and v.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 226, 3262\/23, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*z + z**4 + 84 - z**2 - 84 + (0*z**3 + 2*z**3 - z**3)*(2*z - 4 + 4) - 6*z**4 + 4*z**4 + 3*z**4 + 2*z**4 + 0*z**2 + 0*z**2.\nAnswer: 6*z**4 - z**2 - 23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q + 6. Let f(c) = -c - 1. Let b = -25 + 24. Determine b*a(j) - 3*f(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + 50661394 = 3*d + y, -5*d + 84435675 = -2*y. Let q = -8787133 + d. Round q to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*q + 269 = 69 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2908 - 5316 = -172*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - 3*n**3 + 5*n**3 - 4*n + n.\nAnswer: 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.1 - -3. Let o = 1 + -4. Let v = 67 + -333\/5. What is the closest to v in o, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-10 + 19)) + 4 + (-6 - 20).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n + 7*n - 3*n)*(1 - 1 - n) + (-2*n - 1 + 1)*(-13 - 12*n + 13) to the form o + q*n**2 + s*n and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.06 - 4.06. Let r = 25.88 - 25.78. Let z = 0.1 - 0.5. Which is the nearest to r?  (a) -0.3  (b) z  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100110000101011 + 11?\nAnswer: 100110000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -84 - -199. Suppose 6*v = v + t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-6)*2*-226. Let n = s - 216. Calculate the greatest common divisor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*v**3 + 63388*v**2 - 1646024*v + 10125440 = 0. What is v?\nAnswer: 10, 16, 15821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - 4*l**2 - 2*l - 8. Let z be i(5). Suppose 20 = z*t - 4*t + 5*r, -r = -5*t - 4. Suppose 6*u + 32 - 320 = t. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -4*v. Let k be 1*(-4)\/(8\/6). Let f be 3*-2 - 6\/k. Let g be (3\/(-6))\/(2\/f). What is q(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 100 - 99. Let x(w) = 7*w**3 - 2*w**2 + 2*w. Let j be x(u). What is the highest common factor of j and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/(-6)*3)\/2. Let g be 2\/a*(4 + 18). Suppose 0 = 4*s - 2*r - 74, 2*r = -0*s - s + g. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 257 or 259?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1304354701.\nAnswer: 13, 79, 1270063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/3  (b) -346  (c) 2  (d) -0.03  (e) 3  (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**4\/4 - 3*u**3 + 5*u**2\/2 + 15*u + 2516. Determine h(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.77 + -2. Let d = -0.27 + q. Let p = -4 + 1. Put 5, p, d in ascending order.\nAnswer: p, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 76343472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -3*r + 8*r - 1460, -u + 3*r + 300 = 0. Let y be (1\/2)\/(7\/u). Let f(g) = 9*g - 21. Let a be f(14). What is the highest common divisor of a and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -15.875. Let p = -0.074 - b. Let w = 3788 + -3789. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-41*r**2 - 37*r**2 - 61*r**2)*((-1 + 1 - 1)*(1 + 2 - 1) + 7 - 10 - 7) to the form i + j*r + c*r**2 and give c.\nAnswer: 1668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1839 is divided by 603.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/14 and 81\/106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 53812, 216202, 486850, 865756, 1352920, 1948342?\n\"Answer: 54129*r**2 + 3*r - 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3840754998 to 3 dps.\nAnswer: -0.384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 2119 divide 420742701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1224 - 1209 - (6 + 2)) + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26311620?\nAnswer: 2, 3, 5, 438527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/((-85)\/(-50)) + -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - 29) + (-2 - (3 - 4))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/3*(-5544)\/132?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/766650 and -151\/2850.\nAnswer: 766650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*h - 120*h = -243*h - 679*h + 49650 for h.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from wwwwwwwxwwwwxwwwwxww.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*c + 27 + 153 = 0. Put 10, 0, 5, c, -14 in descending order.\nAnswer: 10, 5, 0, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/512 and -103\/80?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37 - 33. Let r = -1.9 - -2. Which is the biggest value?  (a) 1  (b) s  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -198, -379, -560, -741?\n\"Answer: -181*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -6. Let k be 91 + (-18)\/(-30)*5. Let r = k + -88. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e04a6 (base 15) in base 13?\nAnswer: -1bb106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of 0*a + 0*a**4 + 0*a**3 - 1\/30*a**5 + 0 - 1\/336*a**8 - a**2 + 0*a**7 + 0*a**6. Find the third derivative of u(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 321011322 (base 4) to base 14.\nAnswer: 61318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i - 9. Let h(v) = v - 4. Let m be h(-7). Let r be j(m). Factor 0 - 2\/7*x - 4\/7*x**r - 2\/7*x**3.\nAnswer: -2*x*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(3\/27 - (-230)\/(-207)). What is the third smallest value in -190, b, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1211 + 1211. Solve -2*j = -5*h - r*j - 8, h - 5*j = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131 (base 6) to base 11\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7998 divided by 3999\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.16 and -1.642.\nAnswer: -1.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 202122111 (base 3) in base 12?\nAnswer: 8864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*g**2 - 289720*g - 3710100 = 0 for g.\nAnswer: -166\/13, 4470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0  (b) -1  (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 48*p + 97. Let u be n(-46). Solve u*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w - 2. Let q(z) = -21*z**2 - 5*z + 10. Calculate 3*q(n) + 15*v(n).\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 14*y**5\/3 + 6800*y**4\/3 - 85790*y**3\/3 - 66680*y**2\/3 + 8632*y = 0.\nAnswer: -498, -1, 0, 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3)*n)**(-4\/23)*(n**1)**(-39) assuming n is positive.\nAnswer: n**(-889\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 1. Let o(y) = -y + 1. Let n(x) = m(x) - 2*o(x). Let i be n(4). What is the closest to 0.3 in 0.5, 4, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64)\/(-3)*4\/(-1)*(-615)\/(-3280)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -17157050 times 6.7?\nAnswer: -114952235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -44430 - -152387. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.3 - -0.1. Let a = -0.05 + 0.35. What is the nearest to 2 in c, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 4:53 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -11*g**3 + 5*g**2 - 7*g + 1. Let u(z) = -5*z**3 + 3*z**2 - 4*z + 1. Let o(b) = 4*p(b) - 9*u(b). Calculate o(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 52346.4574 times 1\nAnswer: 52346.4574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -3. Suppose 4*m + 3 = s. Suppose 2*p - 6 = -h + 5, 4*h + m*p - 44 = 0. Solve -h = 4*d - 3*u - 0, 2*u + 2 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 37, 0.17, -2\/17, 9.2 in descending order.\nAnswer: 37, 9.2, 0.3, 0.17, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9 - 26)\/(0 - 1). Suppose -d*b + 8 = -31*b. Factor -84*r**b + r + 87*r**2 - r - 3*r**3.\nAnswer: -3*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 534712825 to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*a**3 - 34*a**2*t - 576047*a**2*z**2 - 5*a + 134539*t*z**2 - 4*t wrt a?\nAnswer: -12*a - 68*t - 1152094*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 56*f - 7 = -23, -2*p + 88 = 2*p + 4*f for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 - 28*d**2 - 28*d - 46. Let l be q(-27). Is -15 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-65)\/(-2))\/(-3*9\/(-162)). Suppose 35*h - f = 22*h. What is the smallest common multiple of 33 and h?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 667930 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -38*v**2 - 600*v - 22. Let c(t) = 24*t**2 + 400*t + 14. What is -8*c(b) - 5*z(b)?\nAnswer: -2*b**2 - 200*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*j + u, -271*u + 6 - 46 = 4*j - 270*u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 26984.\nAnswer: 134920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 145 (base 6) to base 11\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.004 and 774.\nAnswer: 3.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-5\/4)\/(h*h\/h**(-2\/5))*(h\/(h\/((h*h**(-4)*h*h)\/h*h*h)))\/((h\/(h**(-6)*h*h))\/h))\/(h**6*h\/h**3*h**(-1)*h*h**0) assuming h is positive.\nAnswer: h**(-233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.097 + 728.097. Let n = 729.939 - c. Round n to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1022?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + -0.4. Let j = -103.87 + 103. Let m = -2.87 - j. What is the smallest value in m, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w**5\/5 + 239794*w**4\/5 - 3*w**3\/5 - 719384*w**2\/5 - 479588*w\/5 = 0. What is w?\nAnswer: -239794, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 16*f - 3\/2*f**2 - 73\/6*f**3 + 6. What is the derivative of p(a) wrt a?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 2, -19 in descending order.\nAnswer: 6, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 107 + 55 = 0. Let i be ((-1)\/2)\/((-444)\/h). Let c = 146\/185 - i. What is the common denominator of c and -61\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00390607 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 + 31 - 94 + 30 + 47676*i**2.\nAnswer: 47676*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**4 + 12*l**3 - 45*l**2 - 174*l - 120 = 0. What is l?\nAnswer: -5, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1.5 + 42942404067\nAnswer: 42942404065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a. Let q be (3\/(12\/(-16)))\/(-4). Let j(f) = 1 - q - 3*f. Give m(j(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 159 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/288*-54)\/(1\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1326561?\nAnswer: 3, 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-37)\/(-6) + (-24)\/144. Suppose o*g + 3 = 15. What is the third derivative of -71*i**g + 2*i**3 + 82*i**2 - i**3 wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139457261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 188038.599 hours?\nAnswer: 1119.277375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10*((-8)\/70)\/((-18)\/63)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -209.38 - -346.38. What is the closest to 0.04 in 2\/7, 0.3, -2, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2183 times -1.2\nAnswer: -2619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12122202002 (base 3) to base 11\nAnswer: 76728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2796.3 in 3\/4, 4, -1.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.5 times -1514?\nAnswer: 6813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 45 + 75 = 0. Let w be (14\/3)\/((-20)\/z). Let q be (-1)\/(w\/(-4)*4). What is the closest to -1 in q, -1, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 + 42. Suppose -5*f = -q, -2*f - 106 = -4*i - 0*i. Calculate the remainder when 55 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 3. Let y be i(-4). Suppose -x = -3 + y. Suppose -80 = -5*p - 5*r, -3*r - 2*r + x = -p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -41, -39, -49, -77, -129, -211, -329?\n\"Answer: -r**3 + 9*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 PM and 2:18 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 + -28. Calculate the highest common factor of 128 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3572965 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 4*w - w - 4*w + 4. Let b be p(4). Suppose -29 = -y - 5*i, -3*y + 2*y = 4*i - 24. Solve -y*c + 3*c = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/7776288 and -43\/1716.\nAnswer: 85539168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 11*r**2 + 7*r + 106. Let w be m(-11). Suppose 0*o = -2*o + 24. Suppose -3*s**4 - 11*s + 3*s**2 + w*s - 6*s**3 - o*s = 0. What is s?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**3 + k**2 + 37*k + 8. Give h(6).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, j: 2}. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -115*p - 1. Does 27 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of 1672*r**3\/3 + 1448*r - 234. What is the first derivative of j(s) wrt s?\nAnswer: 3344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7309 by -8.\nAnswer: 7309\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/87 and -11.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 1 - 2 - 10 + 2 + 4 + 3 - 6 + 5 - 4 + 1 + (2 + 1 - 1)*(6 - 5 - 2))*(-4*h**2 - 4*h**2 - 3*h**2).\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nwmtw. Give prob of sequence wmnt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -577 and 10261.\nAnswer: 9684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + 12. Let o(b) = -b**2 - b + 16. Let f be o(0). Calculate the highest common factor of t and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g + 2. Suppose 2*n = 4*r - 122, -4*r + r = 5*n - 59. Suppose 10*x - 5*x = k + r, -4*x = k - 26. List the prime factors of a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 8 = -3*d. Suppose 0 = -5*g - 0*w + d*w + 19, 0 = -4*g + 3*w + 18. Solve -4*f - 8 = 5*n - 0*f, 2*f + 6 = -g*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 10 + 2 = 0. Suppose -5*l = -0*h - 5*h, 0 = -2*h - b*l - 8. Let o = 1 - h. Is o at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1734 + -1684. Solve 13*s + 11 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f + 10. Suppose 0 = -2*c + 6*c + 20. Let y be s(c). Suppose -5*t = -3*r - 5, -4*r + 4 = -t + y*t. Solve 3*h + 2*a = 11, 2*a = -2*h - r*a + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/24*(42\/(-9))\/1. What is the closest to -1\/2 in 0, -4\/3, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -375, -723, -1073, -1425, -1779, -2135?\n\"Answer: -l**2 - 345*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 25*a + 4. Let u(i) = 7*i**2 + 2*i + 1. Calculate the remainder when c(1) is divided by u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 5. Let k(q) = -q**3 - 10*q**2 - 9*q + 1. Let x be k(-9). Let v = o + x. Let a(g) = 2*g - 3. What is a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-42))\/(17\/(14994\/840))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/53 in 250, -24, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 150 and 1608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 2335*f + 4*f**3 - 557*f + 2 - 6*f**3 + 3*f**3 - 136*f in the form o*f**2 + a*f + n + v*f**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/2269 and -15\/494642.\nAnswer: 494642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -9*b + 4. Let d be p(-8). Let j = -106 + d. Let y = j + 42. Calculate the remainder when 34 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1072529 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/35154210 and 109\/70.\nAnswer: 35154210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -1 + -1 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*2*-3)\/sqrt(9) + (-2 + (sqrt(26)\/sqrt(2) - sqrt(13)) + sqrt(13))*-6)**2.\nAnswer: -288*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -34*p**2. Let v(m) = 3*m + 82. What is v(h(q))?\nAnswer: -102*q**2 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*z - 595. Calculate the remainder when z is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*r + 81*r - 4*r**2 + 256 - 132*r + 51*r = 0.\nAnswer: -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -807298.1 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 11:29 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -31 + 13*c**3 + 0*c**3 - 4*c + 38 - 3*c**3. Let h(f) = 29*f**3 - 11*f + 20. Determine -6*h(m) + 17*s(m).\nAnswer: -4*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-7*(-93 - -92).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28211, -26857, -24599, -21437, -17371, -12401?\nAnswer: -6527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2099544.21 less than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/7 or 955?\nAnswer: 955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15880 and 40560.\nAnswer: 16102320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -8*j**3 + 66*j**2 - 42*j - 116 = 0.\nAnswer: -1, 2, 29\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u**2 - u + 1. Let m(y) = 34*y**2 - 2*y + 1. Determine 2*d(j) - m(j).\nAnswer: -42*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = 3*d - 17 - 43, 2*d + j - 40 = 0. What is the least common multiple of 2 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + n - 6 = 5*c, 2*c - 5*n = 3. Let w be (15\/(-45))\/(c\/6). Solve w*p + 0 = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33 + -46. Let v = 18 + l. Let f(a) = a - a + v*a**2 - 3*a**2. Let b(u) = -u. Give f(b(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -194646 + 403017. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -77.17.\nAnswer: -77.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6452 and 460001792.\nAnswer: 6452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v - 8. Let c be s(-13). Let h(o) = o**3 - o**2 + 3*o + 6. Let j be h(c). Suppose -5*n + 74 = -j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 8:30 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**3\/7 - 752*f**2\/7 - 27302*f\/7 - 236980\/7 = 0?\nAnswer: -17, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9892 divided by 10.\nAnswer: 4946\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + 73 + 29 - (24 - (9 - 7)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*-1 + 3 - 14\/(-2). Solve r = 4*g - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*-2*3\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19.23 + 12.63. What is the second smallest value in -0.5, w, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1294793 to the power of 1\/2, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28061 + -28088. Let g be 0 - (1\/1)\/(-1). Which is the closest to g?  (a) -3  (b) m  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**8*v**(-16\/3))**(1\/8) assuming v is positive.\nAnswer: v**(-37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -13a7 + -46c?\nAnswer: -1846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001 + 11110001111101011110?\nAnswer: 11110001111101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 3*m**3\/8 + 74751*m**2\/8 + 37371*m + 74739\/2 = 0?\nAnswer: -24913, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6170, 12, 2\/35 in descending order.\nAnswer: 12, 2\/35, -6170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 44, 51, 74, 119, 192, 299?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/20)\/((-22)\/(-5)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19.951 and -73630.42.\nAnswer: -73650.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 5*q = -10170, 2*q = -5*f + q + 10182. Suppose -3*u + 9 = 0, 5*r - u - f = 2*u. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -4*v**2 + 17\/4*v - 1\/4 = 0.\nAnswer: 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l**5 - 690*l**4 - 38274*l**3 + 160764*l**2 - 203931*l + 82134 = 0.\nAnswer: -117, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 539 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = 5*m - 4*n + 27, -n - 12 = 2*m. Let v be 1*(-5 - -3)*-4. Suppose -4*t = -5*t - v. Is m greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/2  (b) -64  (c) 49289\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -7*z - 6. Let w = -13 - -23. What is the smallest common multiple of q(-4) and w?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/38277690 and 71\/76428.\nAnswer: 229666140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 96 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68982 is divided by 657?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5561034662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*n - 102, -2*n + 59 = 75. Which is the closest to 1\/10?  (a) -3\/10  (b) d  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 2*y - 793. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 58 = b. Suppose 5*q + b = o, 4 = -q - q. Solve -7 = n + 2*p, n + 4*p = 4*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*d - 133 - 19, -2*o + 314 = -d. Let p = 198 - o. What is the remainder when p is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-10) - (((-9946488)\/(-3515))\/138 - 20*1).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1061*n**2 + 13238.\nAnswer: -2122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 174\/16 + 10\/(-5) and 105\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13 - -8. Suppose 12 + s = f. Let h = 0 + f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9.397 - -10. Let d = k - 0.6. Let x = d - 0.103. Is x bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -261282000 to the nearest one million.\nAnswer: -261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -374 or 8758?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of 26*t**5\/5 + 3*t**4\/2 - 4*t**3\/3 + 22*t + 2. Let q(l) = -l**4 - 1. Let k(x) = -2*f(x) - 44*q(x). Solve k(i) = 0 for i.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3661a67 - -14?\nAnswer: 3661a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 - 3*q**2 + 6*q + 5. Let j be s(-4). Let l = j - -3. Let d(c) = -c**2 - 2*c. Let n be d(-2). Solve y - 3 + n = l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 5)*(5*z - 4*z + 2*z)*(-5*z + 8*z + 14*z).\nAnswer: 51*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c**3 - 1208*c**2 + 3242*c - 16837. Calculate z(400).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 3\/8, -0.3, 3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*d + 11 = 2*d, 4*r + 3*d = 31. Find the second derivative of -183*t - 4*t**3 - t**2 - 20*t**r + 257*t + t**2 wrt t.\nAnswer: -240*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 200.533 - -0.467. Let p = -234.4 + q. Is 0 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) -0.08  (c) 12  (d) -0.7  (e) -1  (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = -16*w, -3*k + 2*w + 18 = 0. Let d(s) be the first derivative of -k + 1\/2*s + 7\/8*s**2 - 3\/4*s**3. Factor d(q).\nAnswer: -(q - 1)*(9*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3690 or 143914\/39?\nAnswer: 143914\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -7 - (-7 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 76\/760*(1 - -3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 11) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12829?\nAnswer: 12829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, i: 2, w: 1, o: 8, b: 1}. Give prob of picking 1 w and 2 o.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-6)*(18\/(-4))\/(21 - (-10509)\/(-496))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 PM and 4:20 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + j + 2*j + 59 = 0, 5*j = -25. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00248 rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 9*p**3 + 35*p**2 - 8*p + 113. Let j(k) = 4*k**3 + 17*k**2 - 4*k + 52. Let x(i) = 6*f(i) - 13*j(i). What is x(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-281 - 351 + 416)*(2*t - 4*t + 4*t) - 43 + 2*t + 43)*(0 + t + 0).\nAnswer: -430*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1303*-11807\nAnswer: -15384521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2 - 15*l - 2 + 4. Let b(z) be the third derivative of z**5\/30 + 158*z**2. Calculate q(b(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of n**6\/1260 + n**5\/420 - 2*n**3\/3 + 2. Let a(g) be the third derivative of u(g). Factor a(y).\nAnswer: 2*y*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -152*j. Let n(d) = -d + 54226. Give n(o(r)).\nAnswer: 152*r + 54226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 66, 2, -444, -1548, -3586, -6834, -11568?\n\"Answer: -46*o**3 + 85*o**2 + 3*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 428 - 428. Let m(u) be the first derivative of 0*u + c*u**2 - u**3 + 6 + 5\/4*u**4. What is the third derivative of m(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6584571 a multiple of 567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - (-20)\/(-8))*-2 + 6. Solve 3*c + 2*c - 15 = 5*f, t*c - 25 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 874773?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -p - 5, 5609*p - 5606*p + 15 = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 3, 4, -5, 2, -1 in decreasing order.\nAnswer: 4, 3, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 141615*f**3 - f**2 + 85097*f?\nAnswer: 849690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 + 3*g**3 - 336*g + 336*g.\nAnswer: 3*g**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.86 + 0.14. Let c = 2.5 + -3. What is the second smallest value in 0, c, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 7*f. Let m be 2\/(-5)*(1 - 6). Let n(y) = 2*y**2 - m*y + 5*y - 3*y. Determine n(h(a)).\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, 9, 91.81, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*y + 2*y**2 + 15*y + 10*y as g*y**2 + q*y + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 42*b*h**3 - 646*b*h**2 + 2*b - 2*h - 207622 wrt h?\nAnswer: 126*b*h**2 - 1292*b*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -43.2191392 - -0.4\nAnswer: -42.8191392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 339\/2275 + -2\/325. What is the biggest value in a, -2\/11, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 539*d + 3230 = -300*d - 26639 - 55709 for d.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218958 is divided by 5340?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 2002246.4 to the nearest 1000.\nAnswer: 2002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4339, 10036, 17127, 25618, 35515?\n\"Answer: f**3 + 691*f**2 + 3617*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.082?  (a) 0.09  (b) 1\/3  (c) -2\/3  (d) 0.5  (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11085.2 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -773 - -1896. Let a = i - 509. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27 + 147 + 106 - 718*s**4 - 5*s**2 + 3323*s**4 - 646 wrt s?\nAnswer: 62520*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18187570*l**2 - 1125*l + 3888?\nAnswer: -36375140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/2 - 45357*z**2\/2 - 514291683*z\/2 + 514337041\/2.\nAnswer: -(z - 1)*(z + 22679)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 76402*f**4*x + 13*f**2*x - 29*f**2 - f*x - 46*f wrt f?\nAnswer: 1833648*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -114 - -20. Which is greater: v or -95?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-2))\/24*32\/80*6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -14*z**3 - 5*z**2 + 6*z + 4. Let x be l(-5). Let n = 38 + x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6631108807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*c + 7. Let l be (104\/16)\/(c\/2). Let i = 54 + l. What is the remainder when i is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -3477883?\nAnswer: -3477885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21261 - 319846\/15. Let u = 287\/5 + z. Let s = -104\/21 - u. Which is the nearest to s?  (a) -5  (b) -4\/11  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -l**5\/60 + l**4\/3 + 7*l**3\/6 - l**2. Let r be a(8). Solve 0 = -r*q + 4*q - 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -201*w. Let d(j) = -102*j. Calculate d(z(l)).\nAnswer: 20502*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (9 - (4521 + 4))*(-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 52*j - 397*j**2 - 508*j**2 - 57*j.\nAnswer: -905*j**2 - 109*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 5*i = -49, -22 = -7*q + 3*q - 2*i. Let f be (-70)\/q - (-27)\/36. Is -1 - (f\/(-4) + -422) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 270 and 945.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 887988 divided by 221997\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 204205*i**2 + 28*i + 1252?\nAnswer: 408410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + 15. Let u(g) = -1031*g + 10307. Let i be u(10). Determine k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**4 + 4*f - 4*f + (-2*f**2 + 2*f**2 - f**2)*(-2 - 2*f**2 + 2) - f**2 - 844*f**4 - 12*f**3 - 2*f**3 + 845*f**4.\nAnswer: 5*f**4 - 14*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -4, 6\/7, 1\/13, -1585, -16?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 1421*h**3 - 104*h**2 - 21*h + 5. Let u(k) = -1421*k**3 + 89*k**2 + 18*k - 4. What is -6*l(n) - 7*u(n)?\nAnswer: 1421*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-27.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 - 34.59. Let r = -0.09 - u. Let y = 662\/815 + -2\/163. Which is the second smallest value?  (a) y  (b) 1\/4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 13*a + 1 + 0)*(-39 - 130*a - a**2 + 130*a).\nAnswer: 13*a**3 - a**2 + 507*a - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/7 + 2\/7. Suppose c*o = o. Suppose -5*k - i + 341 = o, 0 = -4*k + i + 3*i + 268. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 152057084*b*w**3 + 137*w**3 + 284668 wrt b.\nAnswer: 152057084*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - -32341124231?\nAnswer: 32341124222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 + (-1776)\/80 + (-194)\/(-170)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000483979 to seven dps.\nAnswer: 0.0000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -113?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3004 + 12472. List the prime factors of z.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -29\/68 + 3\/17. Let s = 97\/4284 + 2\/153. Let t = s - 5\/28. Which is the nearest to 2\/7?  (a) 10  (b) t  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - -55?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 251*n - 2289. Calculate r(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01626 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3715 + 3718. Solve j*o - 5 = -u + 10, o + 11 = 5*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 77573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17342205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 9 - 7 - 38 - -51 - 99\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.065908 take away -10211?\nAnswer: 10211.065908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 49 minutes after 9:18 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2 + -1)\/(5\/475). Suppose -16*j - 236 = -1644. Let t = r - j. Solve -4*n = -t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1030102113 (base 4) in base 13?\nAnswer: -ac2c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 18, -1, 6 in ascending order.\nAnswer: -3, -1, 0, 6, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 2*k + k + (0*k + 3*k - 4*k)*(1 + 1 - 6))*(133 + 349 - 652).\nAnswer: -1190*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 290346 and 1736?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -3\/2*d**3 + 0 + 115*d**2 + 0*d - 1\/6*d**4 + 1\/240*d**5. Factor w(a).\nAnswer: (a - 18)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.5 - 11. Let a = s + -0.5. Let x = 2.01 + -0.01. What is the closest to 2\/5 in x, 2\/9, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-seven fifths of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11618, -11802, -11986?\n\"Answer: -184*i - 11434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 1932*m - 7717. Give o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5841298 - 12241298. What is b rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -291*y - 2616 + 672 = 33*y. Let t(l) = -9*l + 1. Let o(v) = 8*v - 1. What is y*o(s) - 5*t(s)?\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b + 27*b**3 - 2*b - 12*b**3.\nAnswer: 15*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*j - 100*j + 45*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -874 in 0.5, 1, 0.4, -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 2 = 3*j - 2*p, -5*j - 4*p = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14835 is divided by 1438.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*i + 106630 + 158517 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -3*w - w. Let h = w - -2. Solve -h = -2*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-7)*(-14)\/(-70)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-10)*-1*((-1075)\/75 + 21) + -52?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 + 22*g**2 - 42*g + 180. What is r(-24)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 78 and 221?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98290232?\nAnswer: 2, 12286279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 4, 2\/6905, -0.2, -757?\nAnswer: 2\/6905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -22*u**3 - 6*u**2 + 27. Let g = -17 - -16. Let p(z) = z**2. Let k(n) = g*l(n) - 6*p(n). Find the first derivative of k(m) wrt m.\nAnswer: 66*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 17, i: 3}. What is prob of picking 1 a and 1 i?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 525853.396 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 3, 4, 5, -6, 1 in decreasing order.\nAnswer: 22, 5, 4, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 180 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 - 3*y**3 - y**3)*(-21*y + 232*y + 33*y) - 2*y**4 + 0*y**4 + 3*y**4 - y**3 + y**3 - 2*y**4.\nAnswer: -489*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 827.0862 - 827. Let c = 0.123 - o. Round c to 3 decimal places.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**8*x)\/x)\/((x\/x**(-11))\/x))\/((x*x\/x**10*x)\/(x*x\/(x*x*x**(-7)))) assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/(-36)*(72\/(-65))\/9?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {i: 1, w: 1, a: 4, p: 1, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -82 - -88. Let k(w) = -63*w**2 - 13*w + 3. Let p(t) = t**2 - t. Let c(r) = a*p(r) + k(r). Find the second derivative of c(d) wrt d.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -4*y - 9, p + 5*y + 10 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 6 = -3*m - 2*m, -14 = -m - 3*w. What is the first derivative of 6*i**2 + 4 + 3*i**2 - 9*i**m - i**3 wrt i?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 1. List the prime factors of z(3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -v + 1, 0*a - v = 2*a. Suppose 0 = -h + a + 3. Solve 4*o + 20 = 4*q, 16 - 2 = h*q + 2*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3824*s - 4641. List the prime factors of w(11).\nAnswer: 37423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*o**5 + 76*o**4 + 288*o**3 - 188*o**2 - 496*o + 336 = 0. Calculate o.\nAnswer: -2, 3\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-8))\/((-100)\/(-40))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 528?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do 20739271 and 20739326 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - (3 - (13 - 2))) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10, -5, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 55135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 3*k + 11 = 0, -3*i - 53*k + 8 = -49*k. Calculate the smallest common multiple of 74 and i.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 0 - (348 + 1). Let v = 2083\/6 + o. Let y = -0.2 + -0.1. Sort y, -3\/2, v in descending order.\nAnswer: y, v, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2*d - 291 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 24 = 5*f, -6*f - 29 = -4*n - 61 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1568 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from nhnhhhh.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 14b0?\nAnswer: 14ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 6 - 9*i + 5\/4*i**4 + 0*i**2 + 0*i**3. Let v(o) = 5*o. Let f(l) = 11*l. Let q(g) = 3*f(g) - 7*v(g). Give q(h(a)).\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 61 - 73. Solve 2*m = -2*s + 12, -s + 10 = l*s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1259, 2534, 3787, 5006, 6179, 7294?\n\"Answer: -2*i**3 + i**2 + 1286*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572226.\nAnswer: 2, 3, 283, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -5023, 3, 31 in decreasing order.\nAnswer: 31, 3, -5023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - 3) + (-2 - (-4 + 17)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*((-170)\/(-255))\/((-1)\/((-21)\/(-4))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 4*w = 5*w + 213, 5*a + 3*w - 527 = 0. Suppose -5*i - 160 = -5*g, -3*g + 3*i = -2*i - a. Calculate the remainder when 53 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of i**3*o + 49*i**3 - 1051*i*o**2 + 13*i - 2*o**2 wrt o?\nAnswer: i**3 - 2102*i*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1092527256 divided by 6.\nAnswer: 182087876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1392?  (a) 3  (b) -3  (c) 2\/3  (d) 339\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 336640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/224 and -59\/7504.\nAnswer: 15008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 + 4*f + 4. Let w(u) = u**3 + 5*u**2 + 3*u - 1. Let a be w(-4). Let n(m) = -m - 1. Suppose 18 = 12*q + 6. Calculate a*n(h) + q*i(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddssdsssddssdssddd. What is prob of picking 2 d?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2184*h**2. Let n(f) = 22*f**2. Give n(l(k)).\nAnswer: 104936832*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 3356 divide 1015856935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 - 1515*f**2 - 75909*f - 214173.\nAnswer: -3*(f + 3)*(f + 53)*(f + 449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-50)\/(-60))\/(2\/24). Sort -4, k, -19, 0.\nAnswer: -19, -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - x + 32 = 0, 5*z = -0*x + 2*x + 46. Let o = z + 21. Calculate the remainder when o is divided by (2 + 9)*(-2)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -1, -39, -5 in decreasing order.\nAnswer: -1, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 634*v + 13310 = -515*v + 62717 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + 3*l + 1. Let v be y(-2). Let m = 373 + -371. Let x = m - v. Calculate the highest common divisor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1596 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-10)\/5)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 6*y - 5*y - 1033, -5*i = 5*y - 2590. Suppose 0*b + 4*o = 5*b - i, -2*b + 206 = 5*o. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 + 132\/(-20))*1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9083368433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/2, 0.8, 3\/2, 283?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40346 and 60.\nAnswer: 2420760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 74*g - 926. Give v(-19).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - 60?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -34. Let l be ((-209)\/55 + 4)\/(-3 - -2). Which is the nearest to 1?  (a) 2  (b) l  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 6*n = -7*l + 22, -4*l - 6 = 2*n. Sort -1685, 4, 3, l in descending order.\nAnswer: 4, 3, l, -1685","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38297392 is divided by 123?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**5\/3 + 22*b**4\/3 + 20*b**3 - 40*b**2\/3 - 272*b\/3 - 64 = 0.\nAnswer: -6, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3292\/7 + 470. Let t = 0.7 + 0.3. Let z = 5 - t. Which is the closest to 3?  (a) z  (b) l  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 13.9. Let m(p) = p**2 - p - 4. Let y be m(3). Suppose 3*n + y = 2*i, 0*n + 4*i - 4 = 3*n. Which is the nearest to -1?  (a) n  (b) u  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/99631 and 41\/2709.\nAnswer: 896679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/48 and 131\/1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeffe. What is prob of sequence ffe?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 106 - 18. Suppose -q = 2*y - 4, 0 = -5*q + 2*y - y + 20. What is the highest common factor of b and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20068, 40137, 60206?\nAnswer: 80275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v**4 - 5255*v**3 + 461125*v**2 - 153125*v = 0 for v.\nAnswer: 0, 1\/3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-87)\/232*2\/(-3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that m**4\/4 + 9*m**3\/4 - 17*m**2\/2 + 6*m = 0.\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-11)*p)\/p*p**(-20\/3))**(9\/4) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 - 9*w - 61. Let x(o) = -4*o - 31. Let y(d) = 4*m(d) - 9*x(d). Find the first derivative of y(b) wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 + -25. Let s = -0.2 + -0.3. Which is the third smallest value?  (a) g  (b) 4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -8 + -4 + (7 - -8). Suppose -3*g = -4*p - g + 12, 6 = -3*g. Solve 0*h = w - p*h + 8, -4*h = -n*w - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b**5\/4 - 9*b**4\/4 - 8*b**3 - 14*b**2 - 12*b - 4 = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -11*v**3 + 8*v**2 + 3*v. Let u(o) = -o**3 + o**2 + o. Suppose 4*h + 3*l - 5 = 0, -2*l - 14 = h - 9. What is h*u(c) - z(c)?\nAnswer: 6*c**3 - 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 2\/3, -1, -9.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -549 + 2197\/4. Let o be 2\/7 - 80\/182. Which is the nearest to w?  (a) 1  (b) o  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -4*j**3 + 3*j**2 - 12*j + 40. Determine s(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 minus 2.467?\nAnswer: -3.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/2  (b) -6  (c) -17  (d) -4  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -10.165, 1, -857, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 136*s - 1792. Calculate v(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2689?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1*1)\/(-4 + 3). Let m(r) = -3*r + 1 - 1 - s. What are the prime factors of m(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1145518.\nAnswer: 2, 11, 52069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 - 5*v**2 - 4*v - 8. Let b be y(-5). Calculate the highest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 16 - 2)*(-2*r**4 + 2*r**4 - 2*r**4) + (-4*r + 6*r - 3*r)*(2*r**2 + r**3 - 2*r**2).\nAnswer: -53*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15.272445 hours to days.\nAnswer: 0.636351875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.019084911 to 4 dps.\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 113.61 and 45.26?\nAnswer: 5141.9886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102384.8 milligrams to micrograms.\nAnswer: 102384800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -5*r + 1 + 6, 4*r + 2*k - 2 = 0. What is the smallest common multiple of 7 and (r - 2 - 4)\/(-1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4250 and 500?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(4\/9)*x\/((x\/(x\/x**(2\/3)))\/x)*x\/(x**(-2)*x)*x**(-5) assuming x is positive.\nAnswer: x**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9917 or -9914?\nAnswer: -9917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -1) + 0 + (41 - 46).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -9*b + 8*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -906 + 15*k + 906 + (-2*k + 0*k - 5*k)*(-3 + 0 + 4) + (0 + 0 + 2)*(4*k - 2*k - k) + (3*k - 3*k - 2*k)*(-5 + 3 + 4) to b*k + j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 38 + -21 + (-4 - 0) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 0*j - 14 = 0. Suppose -18*y = -22*y + 20. Solve y*s + j = -8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of -80 - -77 - (-40081 - -4 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10261 divided by -31\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1e (base 16) to base 4.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -62*v**5\/9 + 1990*v**4\/9 - 5024*v**3\/3 - 30304*v**2\/9 + 257024*v\/9 - 8192\/3 = 0.\nAnswer: -4, 3\/31, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4418, -17825, -40176, -71477, -111734?\nAnswer: -160953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -63 - -63.000454. Round d to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (6*1*sqrt(102) - sqrt(102)*-1*-2)\/(-3*(sqrt(96) - (sqrt(96)*-2 - sqrt(96))) + sqrt(96)))**2*-4.\nAnswer: -2004\/121 + 16*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86674?\nAnswer: 2, 7, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5b52 - 25?\nAnswer: 5b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -30*q + 35*q - 793, 3*s - 633 = -4*q. Let l(j) = -268*j - 1. Let y be l(-1). Let r = y - q. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -6*s**4\/7 - 76*s**3\/7 + 110*s**2 + 552*s\/7 - 6840\/7 = 0?\nAnswer: -19, -3, 10\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*n + 0 - 1\/2*n**2 - 5\/4*n**3 + 3\/4*n**4 = 0. What is n?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9.02 and 0.494?\nAnswer: -4.45588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 60865, -4 in descending order.\nAnswer: 60865, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1527*i - 17786.\nAnswer: 1527","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.651316 litres in millilitres?\nAnswer: 651.316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + b = -199. Let p = b + 1398. Let w = p + -16691\/14. What is the common denominator of 73\/12 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6*t - 1. Let a be u(2). Let w = -65 - -62. Let y be 3\/(w*2\/(-6)). Solve -f - 1 = 0, -y*p - p + a = -3*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - (-11 - -9) - 15) + -5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o + 12 + 3*o**3 + 4*o - 10 to k*o + p*o**2 + i*o**3 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + y**2 - 2. Calculate s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*b**2 + 8195 - 19*b**2 - 8195.\nAnswer: -58*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 308 by -44.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {e: 1, g: 1, s: 1, h: 1, m: 1, b: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 67980360 divided by -40\nAnswer: -1699509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 - 5 + 3)*(3 + 0 - 1) - 4 - 2 + 4)*(5*n + 0*n - 3*n) + (-2*n + 5 - 5)*(-5 + 2 + 1) - n + 3*n - n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1.5 times -71.3064\nAnswer: -106.9596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 887*q - 889*q - 120 = -5*t + 204, 3*q = -4*t + 250 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4030627*m**3 - 8061273*m**3 + 3*m + 4030607*m**3.\nAnswer: -39*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0*v = 2*o - 10, 0 = -2*v - 2*o. Solve 0 = v*y + 6 - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16328641 = -5*z - 3*j + 5406362, -4*j - 21734996 = -5*z. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of -a**7\/315 - 3*a**2\/2 + a. Let c(h) be the first derivative of x(h). Factor c(i).\nAnswer: -2*i**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 11 = -3*j - 4, -4*j = 3*h + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -6*q**3 + 84*q**2 + 20*q - 276. Let y be m(14). Factor 0 + 0*b - 2\/13*b**y + 2\/13*b**3 + 0*b**2.\nAnswer: -2*b**3*(b - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/5)\/((-18)\/4099). Let u be 454\/(-36)*(-8 + (8 - 4)). Let b = u + w. Find the common denominator of 7\/2 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45393 divided by 3.\nAnswer: 15131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 443 is divided by 221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 70 + -180. Let x be 4\/(-10) - b\/25. Solve 2*a = 4*p - 18, 3*p + x = 3*a + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/24 and 99\/76.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -43218102*g. Let s(n) = 3*n**2. Calculate s(t(b)).\nAnswer: 5603413021447212*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 19. Let g be h(-16). Suppose 5*v - j - g + 2 = 0, 0 = -4*v + 3*j - 8. Suppose 9*a + 46 = v. What is the second biggest value in 0, a, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2*x = 6. Let p(l) = -l**3 + 3*l**2 - 4*l + 1. Let i be p(x). Suppose 0 = -3*t + i - 25. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((2\/(-1))\/(-40)). Suppose -5*p + b = -0*p. Suppose 4 = 2*o + 2*u + 2, -p*u - 16 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65683 is divided by 382?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1014 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**9\/g**40)\/((g\/(g**(9\/5)*g))\/(g\/(g*g**(2\/11)*g))))**25 assuming g is positive.\nAnswer: g**(-8355\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 107566*a**2 - 127865*a?\nAnswer: 215132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 - 33 - 7*i)*(-236*i**4 - 253*i**4 + 43*i**4).\nAnswer: 3122*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10800 divided by -675?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, 3.9, 36, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2716, 5417, 8110, 10801, 13496, 16201, 18922, 21665?\nAnswer: 24436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19 - 3885*i**3 + 2*i + 2504*i**3 + 347 - 83 wrt i.\nAnswer: -8286*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - 1. Let h(t) = t**3 + t**2 - 6*t - 11. Let n(c) = c**2 + 2. Let p(z) = -h(z) - 4*n(z). Give p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 111 and 47989?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*n + 49 - 49)*((n + n - 3*n)*(-2 + 2 + 1) + 21 + 10*n - 21) - 2 + n - n - n**2 to the form v*n**2 + t + m*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 2, -4, -266, 0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (98*d + 25*d - 44*d)*(2 - 6 + 2)*(5 - 26 - 22) to the form o + q*d and give q.\nAnswer: 6794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 746 a factor of 68268673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4\/2207 - 6300969\/8828. Let z = r - -1381\/2. Calculate the common denominator of z and 3\/(-4) + (-41)\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 24843024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 720\/126*-2*(-14)\/8. What is the greatest common divisor of s and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 486542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 14 = 2*m - 3*f, -2 = 4*m + 2*f. Let c = -1.5505 + 0.5505. What is the nearest to m in 0.5, c, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2485\/1788?\nAnswer: -2485\/1788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 568440 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 4*m**3 + 4 + 5*m**3 + m**3 as j + w*m**3 + t*m + c*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**2\/w*w*w*w*w**(-3)*w*w*w\/(w**(5\/2)\/w)*w*w**(-1)*(w*w**(6\/11))\/(w*w**(-1\/13))*(w\/(w\/w**0))**28 assuming w is positive.\nAnswer: w**(893\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 171749365318 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 491*z + 187 = 502*z. Solve 3*p = -4*r - 16, -3*r + 1 = -z*p + 16*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6 from -355059732920.\nAnswer: -355059732926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 - 2*u + 2. Let d be z(-3). Let j(o) = o**2 + o. Let v be j(d). Let f = 0 + v. Sort -1, 2, f.\nAnswer: -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 171, -6, 1 in increasing order.\nAnswer: -6, -3, 1, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.368545 = -1\/254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -42*h**2 - 73*h + 75. Let k be p(1). Put -5, k, 1, 5 in ascending order.\nAnswer: k, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23*x**4 + x**2 + 192*x - 4?\nAnswer: 276*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u - 1. Let m be a(-8). Suppose -3*p + m = 1. Let r = -3 - p. Let s(h) = -h**2 - 7*h - 7. Calculate s(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 - (-2 - (-10)\/(-2) - 0). Suppose 5*c = -18 - 2. Put c, l, 1 in increasing order.\nAnswer: c, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1875722562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17578, 35156, 52750, 70366, 88010?\nAnswer: 105688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 311034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 888 + 7002. Let n = r - 5431. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/2484 and 83\/20.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1148 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 94068216 divided by -387112\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -6*b - 4*b**3 - 5*b**2 + 5*b + 5*b**3. What is j(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5.8 - 1.8. Let w be (-2)\/(23\/(115\/10)). What is the nearest to 1 in 0, a, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 60*y - 1427. Let g be j(24). Solve -9*d - g = -10*d + 5*k, -k = -5*d + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1057\/10 - -66\/5. Are p and -92 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30134.\nAnswer: 2, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*((-15)\/10 - -1). Let d be (3 + (-34)\/10)\/(f\/(-585)). Let q = d + 263. What are the prime factors of q?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 - t. Let g(w) = -20*w**2 + 14*w + 2. Let q be 15 - -108*1\/(-4). Give q*a(i) - g(i).\nAnswer: 8*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 8*t**5 + 15*t**4 + 7*t**3 + 3*t**2. Let k(g) = -9*g**5 - 15*g**4 - 6*g**3 - 4*g**2. Let o(b) = 3*k(b) + 4*q(b). Let o(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h**5 + 50*h**4 + 35*h**3 - 90*h**2 = 0.\nAnswer: -9, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1038085 + 6.4075.\nAnswer: -1038078.5925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3112412.65 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5276 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 AM and 12:20 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/5, -0.39, -2\/3, 2?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/20 and -76\/2427.\nAnswer: 48540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19541, 39560, 60049, 80996, 102389?\nAnswer: 124216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (26 - (8 - -8)) + -20 + 24 - (14 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -229, -460, -691?\n\"Answer: -231*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 10, 17, 28, 43?\n\"Answer: 2*c**2 + c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z**3 + z**2 + 31*z + 40. Calculate w(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*r + 220 = -71*r. What is the remainder when r is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45956214.\nAnswer: 2, 3, 851041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 9 + 16 = 0. Let o = -0.13 + 1.13. Let x = o - 0. Sort x, 0.3, b in descending order.\nAnswer: x, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-44) + 530\/(-11). Let p be (-446)\/8 + h\/(-64). Which is smaller: p or -54?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9577574650 to the nearest one million.\nAnswer: 9578000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4898.526 centuries to years.\nAnswer: 489852.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 2. Let j = -13556\/9 + 1506. Which is the third biggest value?  (a) w  (b) j  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111010100110001110000000110 - -100?\nAnswer: 111010100110001110000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7 + -2 - (2 - 0). Let y(w) = 194*w**2 - 122. Let f(r) = -197*r**2 + 122. Let c(b) = q*f(b) + 4*y(b). Find the first derivative of c(k) wrt k.\nAnswer: 370*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2533133 is divided by 965.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1374712 by 343678.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*u + u - 5*u)*(-114 + 18 - 79 + (2 + 8 + 0)*(-1 + 5 - 2)) to q + o*u and give o.\nAnswer: 2015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00039705059 rounded to 5 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15043 - -15068.0015. Let m = 25 - z. What is m rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-18)\/(-22) + 12\/66. Let w be a\/(-2)*(-360)\/2. What is the greatest common divisor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -1\/4  (b) 1\/3  (c) -4\/9  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 AM and 12:28 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + -4. Let f(i) be the third derivative of 0 - 3\/20*i**5 - 11*i**2 + 0*i**4 - 1\/120*i**6 + 5\/6*i**3 - 2*i. Determine f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16387\/83 or 197?\nAnswer: 16387\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p + 102 - 409*p**3 + 814*p**3 - 408*p**3 - p**4 to the form y*p**4 + n*p**3 + t*p**2 + f*p + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*x - 5*f, -2*x - f + 1 = -0*f. Solve -26 = -x*t + 4*t - 4*p, -3*t - 14 = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 5*b + 15, 5*m + 157*b = 162*b + 35. Let j = 1 + 1. Let d be (-1)\/(-8)*-1*j. What is the smallest value in m, d, 4, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dp when two letters picked without replacement from dpgpgddpdpe?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the third derivative of 27*m**6\/20 + m**5\/20 - m**4\/12 - 1018*m**3\/3 + 4*m**2 + 176*m. What is the derivative of b(f) wrt f?\nAnswer: 486*f**2 + 6*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in 2\/3, 3\/5, -1380?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 + m**2 - m - 1. Calculate t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 PM and 12:17 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -z**4 + 8274715*z**3 + z**2 + 4288347*z wrt z.\nAnswer: -24*z + 49648290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 11\/6  (b) -4.5  (c) 4  (d) 1.473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 328*m + 177*m + 3 + 348*m to the form i*m + r and give i.\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -52 + (101 - 102 - 37)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 + 2*h + 1. Let t be z(-3). Suppose -r - 5*q + 64 = 0, -33 = 2*r - t*q - 161. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 + 14. Let x = i - 5. Let w = -0.000043 + x. What is w rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 436b (base 12) to base 13.\nAnswer: 34c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighty-nine halves of a millennium?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(136)\/(sqrt(72)*1) - ((2*sqrt(68))**2 + -1).\nAnswer: -271 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(1 - (-2 - -11)). Let v(q) = -q**3 + 4*q**2 + 7*q - 20. Let h be v(5). Let n = 368 + -371. What is the third smallest value in 2\/7, n, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13624460 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93191.21cm to kilometers.\nAnswer: 0.9319121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -3*a**5\/5 - 114*a**4\/5 + 1083*a**3\/5 + 14430*a**2 + 708372*a\/5 + 1513512\/5 = 0?\nAnswer: -33, -14, -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2450*w**3 - 1750*w**3 - 1158*w**3 + (0*w + 2*w - w)*(-w**2 - 3 + 3) to the form z + o*w**3 + i*w**2 + v*w and give o.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -4. Suppose 5*x = -y + 36, 2*y - l*y - 33 = -5*x. Let w(k) = k - 9. Let g be w(x). Which is the smallest value?  (a) -3  (b) -2\/13  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**2 - 12*w + 14. Let i be p(-10). What is the highest common factor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*h*m*z**3 - 109016847*h*m*z**2 - h*m*z + 3*h*m - 157*h*z - 2477*m wrt z.\nAnswer: -36*h*m*z - 218033694*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*i**3 + 2328492*i**2 - 2328492*i**2.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -18*z**2. Let s(i) = 11*i**2 - 4. Let j(q) = 11*q**2 - 6. Let w(g) = -2*j(g) + 3*s(g). Give w(o(h)).\nAnswer: 3564*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 987122529 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1769835.\nAnswer: 3, 5, 117989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 28 = 5*r - 204, -r + 4*w = -20. What is the remainder when 30\/r - (-892)\/24 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/10 - (-1053)\/(-135) - 0. Which is the nearest to -2\/5?  (a) 0.4  (b) 3  (c) 1\/2  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 293 in 2\/9, -0.062, 2\/29?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43 - -1. Suppose -z = r - 10, m = 5*r + z - 2. Let n(v) = -2*v - 4. Calculate the lowest common multiple of r and n(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -4, 1, -5, -2\/9, 17, 861 in increasing order.\nAnswer: -5, -4, -2\/9, 1, 15, 17, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-35)\/(-3))\/(3\/63)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 736, -599.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5a + 10?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -913.68\nAnswer: -8223.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -16*x - 41. Let n be h(-2). Let r be ((-9)\/n)\/((-1)\/(-6)). What is the third smallest value in 0.4, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(209) - (sqrt(209)*-2 - sqrt(209))) + sqrt(209) + sqrt(209) + (sqrt(209) + -2*sqrt(209))*3)\/((sqrt(99) - -1*sqrt(99)*-3)\/(sqrt(441)*-2)))**2.\nAnswer: 336091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**4 + 813*k**3 - 768*k**2 - 11412*k + 19440 = 0.\nAnswer: -4, 2, 3, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3721 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010011100 (base 2) in base 6?\nAnswer: -25152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, z: 3, r: 3}. What is prob of sequence rnrn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -151\/66 + -1\/22. Which is the biggest value?  (a) -2\/13  (b) -2\/11  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 4 = 2. Let x be o - (-83 + (-4 - -3)). Let j be ((-18)\/(-4))\/(2\/4). Calculate the highest common factor of x and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3 - 63842*x**2 + 509443198*x + 509507042.\nAnswer: 2*(x - 15961)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, 12, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-246)\/5)\/(1\/5). Let j = 427 + r. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/7206 and -4\/10077591.\nAnswer: 20155182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n**(-7\/2)\/n)*n**13)**1 assuming n is positive.\nAnswer: n**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 22 = -m, 2*g - g + 3*m = 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 8*k + 11. Let z be s(-1). Solve -3*y = z*f - 18, 0 = 3*f - 3*y - 1 - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31147 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 846277893 - 68547094363\/81. Let c = m - 17469. Calculate the common denominator of -80\/33 and c.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 886102.0424 to the nearest 10.\nAnswer: 886100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r**3 - 4*r**2 - 3*r - 4. Suppose -2*j = -8*v + 3*v - 4, 3*j - 6 = 4*v. Let d(i) = -2*i**3 + 3*i**2 + 2*i + 3. Give j*z(o) + 3*d(o).\nAnswer: -2*o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a - 2*a**3 - a**4 + 4*a**3 - a - 2045*a**2 - 21*a**4 + 5 + 2042*a**2 as p*a + c*a**4 + g*a**2 + x*a**3 + j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/79)\/b**15)\/(b*(b*b**(-3)*b*b*b)\/b*b\/(b*b*b*b*(b**(-4)*b)\/b*b)))**8 assuming b is positive.\nAnswer: b**(-10096\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6540 + 6548. Solve 655*w - 663*w = -a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*t - 22 = -36*t + 79*t - 4*n - 6, 24*t = -3*n - 396 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6740411300 rounded to the nearest one million?\nAnswer: 6740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 19. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 3\/643, -31, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/1576 and -109\/10.\nAnswer: 7880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 40, 40, 36, 28, 16, 0?\n\"Answer: -2*h**2 + 6*h + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/((-35)\/(-6)))\/((-54)\/(-441)*861\/(-82)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(210)\/((sqrt(500)\/sqrt(10))\/sqrt(5)))\/(-1*sqrt(35)\/sqrt(5) + sqrt(7) + sqrt(28)\/(sqrt(16)\/sqrt(4) + sqrt(4))) + -5)**2 + 3.\nAnswer: -20*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 13020355?\nAnswer: 13020356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -78*s**3 + 8*s**2 + 5*s + 8. Let r(m) = -52*m**3 + 5*m**2 + 3*m + 5. What is -5*c(q) + 8*r(q)?\nAnswer: -26*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1924 = -4*z + 4*p, 7*z + 4*p = 8*z - 493. Calculate the highest common divisor of z and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 12 = -0*i. Suppose n - r + 2 = 11, 0 = -4*n - i*r + 76. Let m be (-1 - n\/(-16))*-2. Do m and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.02, 0.1, 1\/5 in decreasing order.\nAnswer: 1\/5, 0.1, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -4*k**2 + 40*k + 9. Let a be f(10). Suppose 0 = 5*z, -3*p - 7*z + a*z = -3669. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/14 + (-77)\/(-49)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.37 + 1.4. Let z = -3264.96994 + 3265. Let n = u - z. Round n to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 9, i: 3}. Give prob of sequence ivii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 7*s + 26. What is o(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*m = 34 + 854 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - g + 3530 = 3559, 5*b - 95 = -2*g for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, l: 1, c: 2, a: 1, q: 1}. What is prob of picking 1 a and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 PM and 5:58 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 69537 - -2093. What is the ten thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pgxefgxpfespgx. Give prob of picking 2 p and 1 f.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 892786131.\nAnswer: 3, 73, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17 plus -77?\nAnswer: -77.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3582521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/48 and -77\/52.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*t = 10, 5*t - t = 5*d - 14. Suppose -2*u + u + 5 = 3*l, 0 = -2*u + 4*l. Suppose f = -d*h + 24, 7*h + 4*f = u*h + 54. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 117 and 3955731?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7559222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 101, -2.3, 0.5?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6361228 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197 = 5*t - 212. Let o(f) = -2*f**2 + 1035*f - 263*f**t + 4*f**2 - 1 - 1034*f. List the prime factors of o(-1).\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (-1246)\/46 + 940\/10810?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 5*s - 22, 1 = 3*y - 2. Let c = -6 + 9. Solve 0*a + 6 = c*a - 2*i, -s*i - 15 = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*p - 23*p = 3*p - 55*p. Solve 4*t + 0*t + p*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (176 - 145*u - 176)*(-135*u**4 + 459*u**4 - 197*u**4).\nAnswer: -18415*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 + 37. Let z = x - -60. Let r = -65.979 + z. Round r to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**3 + 2137*i**4 - 4267*i**4 - 162*i**2 + 2131*i**4 - 5*i - i**3 - 2 to the form q*i**2 + a*i**4 + n*i + f + r*i**3 and give q.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14533775 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(266) - 2*sqrt(266))\/sqrt(7))\/sqrt(2) - (2 + (-3 + sqrt(684))**2)).\nAnswer: -700 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3689 a factor of 10271578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is -66 + -15 + 57 + 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 - 4 - (-130 + 41)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.33 in 0.01, 8, -1\/2, -16?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 768, 846, 944, 1068, 1224, 1418, 1656, 1944?\n\"Answer: y**3 + 4*y**2 + 59*y + 704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -17821\/216 at least -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-11 - (2 + -7)) - -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - -3b7?\nAnswer: 3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from plu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -423 + 432. What is the remainder when 114 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6999103009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x + 3. Let w(p) = p**2 + 3*p - 3. Let l be w(-4). Let a(h) = 2076*h**3 + 31616*h**2 - 31616*h**2 + 1 - 2075*h**3. Calculate l*m(n) - 3*a(n).\nAnswer: -3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1986 + -1984. Let m(j) = -j**3 + 4*j**2 - 3*j. Let d be m(2). What is the second derivative of -3*s**d - 667*s + 676*s + 3*s**h + 24*s**2 wrt s?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.3 - -7.19. Let n = -0.5 - -0.69. Let m = t - n. Which is the biggest value?  (a) 2\/13  (b) m  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -h, r + 11 = 2*r + 3*h. Suppose 0 = -v + 28*m - 23*m + 24, 27 = 4*v + 3*m. Is v less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -336 - -341. Suppose -u + 72 = o*p, -6*u - 3*p = -2*u - 254. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 5*o - 1 = -3*f, -f - 4*o = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (305\/854)\/((-30)\/(-63))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.4*-269\nAnswer: -376.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/(-2)*-8*5\/(-440)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.27 + 0.23. Let r = j + 0.04. What is the nearest to r in -1\/4, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, t: 11}. What is prob of sequence tt?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2035267567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18396 and 1130040?\nAnswer: 7910280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.33377 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**2 - 4. Let n(j) = -3*j**2. Determine n(h(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*l + 143 - 143 = 0. Is 7 a factor of (1000\/50)\/(l - (-2)\/79)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 21745187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*c. Let s(f) = c*f - f - f. Let x(b) be the second derivative of b**4\/12 + 69192*b + 1. Give x(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - 0. Let i be -6 + (-12)\/(-4) - -2. Let c = b - i. Solve -3*j - 2*j = -2*u - 3, c = -5*u + 4*j - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/149892 and -85\/24.\nAnswer: 299784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -2*p**2 - 22*p + 6. Suppose -3*b - 21 = -5*t, 4*b + 3*t + 17 = -11. Let d be v(b). Sort 1, d, 5 in ascending order.\nAnswer: 1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-3) + 5\/(-15). Solve -2*y + l*y = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, u: 4}. What is prob of sequence uffu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of a**4\/4 - 34*a**3\/3 + 32*a**2 + 3*a - 62. Let y be k(32). Solve c + 5*t - 13 = 0, -y = 3*c - t + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 991 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7236 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-5))\/(369\/(-1230)*8\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 5:39 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 144aa9 (base 13) to base 2.\nAnswer: 1111001001000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687140386 to the power of 1\/3, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 75\/21 - (4 - (-62)\/(-14)). Suppose -a*z = -62 - 2. Suppose 0 = -7*n + 3*n + z. Solve -2*y = 4, -n*b + 0*y + 10 = y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9777749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 5 = 0, 3*k + 0*k - w - 91 = 0. Suppose -1042*r = -982*r - 3720. Calculate the remainder when r is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -5\/11  (b) 12  (c) -0.3  (d) 6047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -174 = -28*y - y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*d + 15 = -18*d. Suppose -u - d*q = -18, 6*u - 4*q = 2*u. Suppose u = -5*y + 23. Sort 2\/15, 5, y in ascending order.\nAnswer: 2\/15, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**3 - 3*f**2 + 2*f + 2. Let y be i(-3). Let w = -20 + y. Let v = 968 - 964. Solve -w*g = -2*l - 0*l - 7, -5*g = v*l - 41 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z + 5*z**2 + 0 - 4*z**2 - 1 + 4*z. Let a be y(-4). Suppose 0 = h + 4*v - 5, -h - a*h = -2*v - 38. Calculate the highest common factor of 99 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4989, -5, -1, 68 in increasing order.\nAnswer: -5, -1, 68, 4989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 120*r**4 + 160*r**4 + 78*r**4 + 0*r**4 - 2*r**4 - r**4 + (r**3 - r**3 + 2*r**4)*(2 - 1 + 0).\nAnswer: 357*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -4*j**5\/5 - 52*j**4\/5 + 188*j**3\/5 - 76*j**2\/5 - 184*j\/5 + 128\/5 = 0.\nAnswer: -16, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -d + 4*l + 3, 5*l = 4*d - 28. Let w be (d\/(-4))\/((-3)\/(-12)). Let t = -24 - -74\/3. What is the third smallest value in w, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1526 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44511 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g + 1. Give j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence flo when three letters picked without replacement from livooqfqv?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/15*91\/(-154)*825?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 152 + (13853 - 13926).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*n. Let r(d) = d - 4 + 3*d + 0*d + n. Calculate r(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j - 2. Let r = -12 + 8. Determine c(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11011011111001101111 (base 2) in base 13?\nAnswer: 256c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1\/4, -0.05, 2\/3 in ascending order.\nAnswer: -0.05, 0.2, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/14)\/(32\/(-112)). Which is smaller: 2\/363 or t?\nAnswer: 2\/363","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**3)\/((((r**(-1\/2)*r)\/r*r)\/r*r)\/r)*(r**2\/r*r)\/(r\/(r\/r**(-7)*r)) assuming r is positive.\nAnswer: r**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + 22. Suppose b + b - a = 0. Suppose 2*h - 3*h + 4*x = -b, -2*x = 4. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 243 + -3b?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - a = 5, -4*a - 2 = 4*h + 2*a. Let b be -3*h\/(-24)*-8. Solve 3\/7 - 4\/7*z + 1\/7*z**b = 0 for z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2039, -4498, -8509, -14066, -21163, -29794, -39953, -51634?\nAnswer: -64831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 650 a factor of 2394665193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, t: 3, n: 1, o: 2, m: 3}. What is prob of picking 2 m and 1 t?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s**2 - 4*s - 4. Let p(l) = l**3 - 19*l**2 + 3*l - 55. Let v be p(19). Let q(k) = 4*k**v + 413 - 3*k - 828 + 412. Determine 3*m(h) - 4*q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of 397*f**6\/40 + 89*f**5\/15 + 2*f**2 + 679. Find the third derivative of c(m) wrt m.\nAnswer: 7146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 11. Suppose 4*s - 17 = 3*z, 0 = -z + b. Suppose 3*o + 11 = -3*i - 1, 0 = o + s. Calculate the remainder when 3 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -304*b - 18 + 27 - 9 as u*b + o and give u.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2\/349  (b) 0.4  (c) 1  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 296097620 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -2*f**2 + 2*f + 5. Suppose 7*b + 104 = 76. What is u(b)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**4 - 3878*j**3\/5 + 145282*j**2\/5 + 1014038*j\/5 + 864858\/5 = 0. Calculate j.\nAnswer: -51\/10, -1, 61, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*a + 92*a - 27*a - 26*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 3 + 0)*(-2 + 2 - 2*d) - 4*d + 0*d + 2*d + 2*d + 0*d - 4*d + 2*d - d - 3*d + 107*d - 2 + 54*d + 38*d in the form y + x*d and give x.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - -2. Let t = 22 - b. List the prime factors of (-9 - -94)\/(-2*(-2)\/t).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.08 + -42.68. Let s = a + 40. Let u = 672 - 669. Do u and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8 - -14) + (1 + -16 - -17)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*w + 11*w = 17 + 29. Let x = -4 + 8. Solve -f = -x*y - 5 - w, -y = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of -2*p**3\/3 - 3*p**2\/2 + p - 1. Let k(c) = c**2 + 8*c - 306. Let z be k(-22). Give r(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 89\/7 - 13. Let t be (-11)\/(-1) + 41 + -44. Let y be t\/(-14) - 500\/(-630). Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 9*w - 17. What is s(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/8 and (-30)\/75 - 26\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*r + 4*v - 8, 5*r + 18 = -2*v. Let y be r\/26 - 8\/(-52). Solve -4*q = 4*h - 8, -4*h + 4 + y = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v - 11*v - 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 11 = -459. Let k = v - -42. Calculate the remainder when k is divided by 72.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1484334 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -874?  (a) -0.2864  (b) 2  (c) 3  (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 2*(-16)\/(-6)*3 + 0.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2))\/(k*k**(2\/5)))**45 assuming k is positive.\nAnswer: k**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 59 - 4. Let g be 12 - 6 - (-1)\/(-1). Calculate the highest common divisor of g and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -a, a = -k - 2*k. Let x be 19\/2 - 1\/2. What is the units digit of x\/3 - a\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105040558 and 25074?\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2093634, -4187282, -6280930, -8374578, -10468226, -12561874?\nAnswer: -14655522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -12*s - 169. Determine y(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-12)*312\/195?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 968986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 35\/(-10)*24\/42. Put 2, j, 17, -1 in decreasing order.\nAnswer: 17, 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o + 2*o + 168. Find the common denominator of o and -30\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -137821\/28 + 19691\/4. What is the nearest to -3 in 2.4, -8, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4 = 0, 10*l - k + 42 = 12*l. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 61334 and 1348?\nAnswer: 122668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phptxgxhhhx. Give prob of picking 1 h and 2 p.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 32*(-3)\/(-18)*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72980919563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, 10, -5\/3, -1.174, -4, -0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*w + 3*w + 6*w)*(2 + 1 - 5) to the form x*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 + 4*a**2 + 2*a - 4. Let h be o(4). Suppose 2 = -3*w + 2*f, 7*w - h*w - 4*f + 10 = 0. Let p(n) = -n - n**2 + w*n**2 - 3 - 5*n. Determine p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 2. Let y be 3*(4\/12 - 0). Let z(q) = -f*q**2 + y + 3*q**2 + 4. What is z(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 21*f - 80390. Let r(d) = 2*d**2. What is x(r(h))?\nAnswer: 42*h**2 - 80390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/11 - 418\/(-968).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 1584593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 121558 >= -269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180561?\nAnswer: 3, 139, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.599965168+-5\nAnswer: -5.599965168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1173*o**3 + 584*o**3 + 587*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/12)\/((-76)\/(-1140))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + sqrt(136)*-2*3)\/(sqrt(40)\/sqrt(180))*4 + 2.\nAnswer: -120*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -3*o + 10, 2*n - o - 17 = -4*o. Suppose -n = a - 5. Suppose 4*v = g, -a*g = 2*v - 33 - 3. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m**4 - 10*m - m**5 + 0*m**4 + 0*m**5 + m**5 - 2*m**5 + (-4 + 5 - 2)*(3*m**5 - 3*m**5 + m**5) + 75*m**5 + 9239*m**2 - 9239*m**2.\nAnswer: 72*m**5 - 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 275, 272, 267, 260, 251, 240, 227?\n\"Answer: -q**2 + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54407 - -54407. Let d = 214 + -195.6. Which is bigger: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384 a factor of 3070848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 1769404 = -10*s, 55*s = 54*s - 3*w + 176935. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2714*g**3 + 7286*g**3 - 942*g**3 + 6411*g**3.\nAnswer: 15469*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-6.5\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6256 take away -80463708?\nAnswer: 80469964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 2496.73.\nAnswer: 9986.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5175698726?\nAnswer: 2, 11, 235259033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*t + 1587 = -2650 + 1177 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 17 = -o, 2*o + 2*o = 2*l + 30. Let i(s) = -s**2 - 10*s + 4. What are the prime factors of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 222 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 352 and 164371328.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 408780 is divided by 398?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*n + 10. Solve -f + n = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*l = -154. What is the remainder when l is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {o: 7, b: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -173517, -346948, -520379, -693810?\n\"Answer: -173431*k - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1166495?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40\/24 - (-83)\/249. Factor -1\/3*s**3 + 1\/3 + 1\/6*s**k + 5\/6*s.\nAnswer: -(s - 2)*(s + 1)*(2*s + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**2 + b - 2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 27 + 8. Suppose 5*a = j*a - 10. Solve -a*d = q + 22, -8*d + 3*d + 3*q = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*h**4 - 255880*h**3 - 163788756*h**2 - 130908208*h - 26173456 = 0. Calculate h.\nAnswer: -1279, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -575258 or 235?\nAnswer: -575258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*s = -25*s - 21*s + 4515 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 23.49824 kilometers?\nAnswer: 23498240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.644 + -2.356. What is the second biggest value in -13, m, 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 177 and 48?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -z**5\/60 + 2*z**2 + 29. Let h(d) = -d**2 + 6*d + 9. Let j be h(7). Let i(r) = 0*r**j + r**2 - 5*r**2. What is p(i(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 73 - 37013?\nAnswer: -36830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-119 - -8) + 8 + 28 + (-17 - -9).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, g: 12, x: 4, y: 2}. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46018 by -3287.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/2034 and 27\/1997501.\nAnswer: 35955018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1225 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of b**3\/2 + 3*b**2 - 8*b. Let f be a(-2). Suppose -5*k + 130 + 160 = f. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qcohrci. What is prob of picking 1 r, 1 h, 1 i, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - -48?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/1840 and 95\/4?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -2. Suppose -4*j - 15 = -3, 5*j = -2*z - 17. Sort z, y, 1 in descending order.\nAnswer: y, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + 76. Let l be q\/(-4)*36\/15. Let d = -13 - l. What is the lowest common multiple of 8 and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from popopppp. Give prob of sequence ppo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*z - 30*z - z)*(-6 + 6 + 9*z)*(-29*z**2 + 29*z**2 - 7*z**3).\nAnswer: 2520*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -12758, 36 in descending order.\nAnswer: 36, -7, -12758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 40248 + -40246. Let x(h) be the third derivative of 40*h**g + 0*h + 0*h**3 + 0 + 1\/60*h**5 - 5\/24*h**4. What is x(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21 + 25. Sort -2, y, -5 in increasing order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + 1.9. Let v = w + -1. Let d be (1 + 31\/(-35))\/(954\/(-3339)). Which is the nearest to d?  (a) v  (b) 0.1  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -448*q + 17236 = -726*q for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 42*r**2 - 120*r + 150. Let l be q(39). What is the greatest common divisor of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-7\/4))**21\/(c**(-13))**(5\/9) assuming c is positive.\nAnswer: c**(-1063\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34638 and 48?\nAnswer: 277104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2904)\/(-288))\/((-209)\/76).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.37 + -5.77. Which is the biggest value?  (a) -2\/19  (b) 8  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 541849 = -3*x - 15465, 4*u = 5*x + 1114630. Round u to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -23896*n - 1577098. Give o(-66).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -57, -62, -79, -114, -173, -262?\n\"Answer: -k**3 + 2*k - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m\/(m\/(m*m*(m*m\/m**(4\/11))\/m*m))*m)\/(m\/(m*m*m\/((m*m**(-3\/2)*m*m)\/m)*m))*m\/(m\/(m\/(m*m\/m**(2\/3))))*(m**(-1)*m)\/m assuming m is positive.\nAnswer: m**(515\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 10\/13*48\/480\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = z - 38. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 3*h - 21. Let z(s) = -s**2 - 9*s + 3. Let y be z(-9). Let n = 2 + y. What is the remainder when l(7) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 704*f = 790*f - 1290 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/980227 and -42\/5.\nAnswer: 4901135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 87\/((-25)\/10 - -1). Let x be (-9)\/(-18) - o\/4. Solve 9*a - 18 = x*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, w: 1, k: 2, j: 4}. What is prob of picking 2 j, 1 u, and 1 k?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**3 - 6*o. Let j(b) = b**3 - b. Suppose v + 4 = 5*v. Give v*z(s) - 6*j(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 1:33 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 77.5 + -78. Which is the nearest to -2\/5?  (a) 2  (b) r  (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 3:42 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -768367 (base 9) to base 6\nAnswer: -13500141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 170071610 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 42*r. Let b(l) = -151795*l. Determine p(b(y)).\nAnswer: -6375390*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14996?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 9*y - 4. What is k(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 0*w**2 + 2*w**2)*(12*w + 12*w - 11*w).\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.972 + 6.972. What is the second biggest value in 1\/4, 0.04, -2, a, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 0*q - 20 = 0. Suppose 0 = 17*p + 42719 - 42855. Solve -4*u = q, -2*u - u = -5*w + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4859*z**3 + 215*z**2 - 215*z + 215. Let l(r) = -90*r**3 - 4*r**2 + 4*r - 4. Give 215*l(p) + 4*w(p).\nAnswer: 86*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2451452 - 3635452. Round f to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 - 2*q + 2*q)*(2*q**2 + 0*q**2 + q**2) + (-416*q + 14*q**2 + 416*q)*(6*q**2 + 36*q - 36*q).\nAnswer: 87*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 399 (base 10) to base 13\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4*i - 276. What is d(-73)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 778 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 33 + (0 + -16 - (-45 + 73 + -28))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (52 - 31) - (165\/(-4))\/(12\/32)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 7 - 2)*(439*a + 442*a + 117 + 434*a - 1316*a).\nAnswer: 12*a - 1404","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let m be (-76)\/(-6) + (-2)\/(-6). Let q = -9 + m. Let f be (0 + 3 - 0) + -1. Solve -4*t = -f*t - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8442987 divided by 2?\nAnswer: 8442987\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.42 - -0.13. Let m = 0.05 - g. Let l(o) = o**2 - o + 5. Let s be l(0). What is the biggest value in 0.3, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 2 + r + 5 + 0*r. Let j be (-42)\/12 + -1*(-1)\/(-2). Let x(t) = t + 7. Let m(a) = j*u(a) + 3*x(a). What is m(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 901484888 to the nearest integer?\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 96\/(-12)*(-3)\/12. Factor 18*p**2 - 18*p**z - 9*p**3 + 5*p**5 - 33*p**4 + 7*p**5.\nAnswer: 3*p**3*(p - 3)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*y - 280 = -424 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22415897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -h**2 + 1\/3*h**3 - 1\/24*h**4 + 0 + 0*h. Calculate b(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**14*j)\/(j*j**(1\/8)\/j*j))\/((j**(3\/5)\/j)\/(j\/(((j*j\/(j*j\/(j**6\/j)*j))\/j)\/j*j))) assuming j is positive.\nAnswer: j**(491\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 4)*((-6)\/(-3))\/(-2). Suppose l*q - 686 = -q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.47  (b) -1\/2  (c) 0  (d) 3  (e) -2\/73  (f) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is x in x**5\/3 + 670*x**4\/3 - 678*x**3 - 10112*x**2\/3 - 11447*x\/3 - 1346 = 0?\nAnswer: -673, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.03, 0, -0.98 in decreasing order.\nAnswer: 0, -0.03, -0.98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -k**5\/270 + 193*k**4\/108 + 110*k**3\/3 - 8*k**2 - 299*k + 1. Find y, given that t(y) = 0.\nAnswer: -5, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 0.4  (c) 3  (d) -1  (e) 5  (f) -3\/554  (g) -7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -37. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-1 - 53) + (-28 - (-21 + (-21 - -18))).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.19  (b) 3  (c) 7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 3)*(2*j**3 - 3*j**3 - j**3) + 3*j - 3*j + j**3 + 2*j**3 + 0*j**3 - 4*j**3 + 46*j**3 - 211 + 211.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 452*k**2. Let z(s) = 252*s - 761*s + 260*s + 253*s. Give z(c(x)).\nAnswer: 1808*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -30*x**3 + 32*x + 2*x**3 + 15*x + 51*x**3 wrt x?\nAnswer: 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1304 + 886. What are the prime factors of i?\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -502 - -0.2.\nAnswer: -501.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 922\/7 + (-16)\/(-56). Suppose 0 = -2*d - 26 + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -321e0 (base 15) in base 6?\nAnswer: -3224220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11 + 919c?\nAnswer: 918b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -910?  (a) -1  (b) 1  (c) 0  (d) -6669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 + t. Let u be 1*(2\/15 + (-182)\/(-210)). Let h(n) = 11*n**2 + 3*n. What is u*h(m) - 3*i(m)?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.4 - 0.6. Let u = d + -4. Which is the second smallest value?  (a) -0.1  (b) -0.2  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**2 + 2*c**2 - 3*c**2 + 3*c + 2*c**2 - 3*c + (c + 2*c - c)*(-1 + 1 - 2*c) + 16*c - 16*c - 25*c**2 as a*c**2 + w*c + o and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a773 (base 11) to base 8.\nAnswer: -307303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69934 is divided by 1426.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 11\/26  (b) 4  (c) -0.4  (d) 2\/7  (e) 312\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 90?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**3 - 2405*s**2 - 2410*s.\nAnswer: 5*s*(s - 482)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 564652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10025565.\nAnswer: 3, 5, 11, 60761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1465880033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6040998 - 11950998. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -590266936*n**4 - 404080382*n?\nAnswer: -7083203232*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 12:51 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + i + i)*(-2 + 2*i + 2) + (4*i - i - i)*(-2*i + 1 - 1) + i**2 + 4*i**2 - 3*i**2 + i**2 + 2*i - 2*i - 495 + 495 - 26*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*u + 2441 = -2383. What is the remainder when 167 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -t - 2, -z - 24 = -5*t - 76. Is t at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.148, -7, -5\/4 in decreasing order.\nAnswer: 0.148, -5\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 2935*c**3\/3 + 3365*c + 4121. Find the first derivative of m(s) wrt s.\nAnswer: 5870*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -71\/7 or -9?\nAnswer: -71\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25160367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-14) - (-10)\/4. Is q equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -2116\/272523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -33*u + 15*u + m - 398, 2*m - 92 = 4*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/19 in -5, 0.1, -35739, -2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7\/(-63) - (-37)\/9. Does 33 divide y\/(-4) + -1 - -134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 6336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -348 + 350. Solve -4*i = 5*d - 1, 2*d + 0 = -i - w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 329461092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(6\/(-5)))\/(540\/162 - 5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 28*y - 15 = 29*y, -g + 2*y - 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 966\/19 + -7513\/190. Calculate the common denominator of x and -23\/4387.\nAnswer: 43870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t - 3. Let k(m) = -m. Suppose -r + 9 = -3*v, -4*r + r - v = -17. Let g(j) = r*k(j) + h(j). Determine g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1\/141, -8 in decreasing order.\nAnswer: -1\/141, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -798 = -8*h - 6*h. Is (760\/h)\/(4\/6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**(-8\/5)*q*q**(-23)*q*(q**(4\/13)\/q)\/q*q*(q\/(((q\/q**(-5))\/q)\/q*q))\/q*q)**29 assuming q is positive.\nAnswer: q**(-43529\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/5))**(2\/61))**(4\/11)*(j**1\/(j*j**(-2)))\/(j**0)**(-41) assuming j is positive.\nAnswer: j**(6726\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3 = 4*p, 6*h - 3*h = p - 12. Let x be 9\/(-6)*(-104)\/(-6). Let j = -15 - x. Solve p*y = 3, y + j = 4*l + 4*y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 5 + -2 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 210123210 (base 4) to base 16\nAnswer: 246e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 19*y**4 - 6*y + 168?\nAnswer: 76*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (73 - 71) + 1 + -1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, k: 4, v: 4}. What is prob of sequence xkxk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*t, 5*m - 2*t + 0*t - 72 = 0. Suppose 5*p - 26 - m = 0. What is the units digit of p*((8 - 2) + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 1:50 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(77) + sqrt(77) + sqrt(77))*1)\/(sqrt(132)\/sqrt(3) + sqrt(44)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 8*u**2 + u**3 + 5*u + 5*u - 2*u. Let o(n) be the second derivative of n**4\/4 + n**3\/2 + 133*n + 2. Give 3*c(b) - 8*o(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -7.93. Let s = -5.07 + f. Let p = -413 + 410. What is the third biggest value in s, p, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 1\/(4\/64). Calculate the highest common divisor of p and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-9)\/3) + 4. Let k(o) = -1 + q*o + 3 + 0*o - 3*o. Let s = -3 + -2. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + -1 - sqrt(153)) + -4 + sqrt(153))**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -853365253*l**2 + 426682633*l**2 + 426682621*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(10\/(-33)) - 6. Let p = 49 - 51. What is the third smallest value in 0.5, p, -10, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 6004 - 600 = 2*n, n = -h + 1082. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.15 - 6.85. Let n = -5.96 + -0.04. Let z = n - h. Which is smaller: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 - 5*h**2 + 4*h. Let d be b(4). Is (5489\/(-22))\/((d + -2)\/52) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 12:02 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -5. Let c = 1.87 + -1.8. Let b = c - 0.07. Sort b, y, 3 in descending order.\nAnswer: 3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 6:39 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 483809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 4 + 10 - 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -155\/2369664 and 89\/1974720?\nAnswer: 11848320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 7 + 91 = 0. What is the remainder when (-303)\/(-5)*(-75)\/(-45) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4615347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 + 1011020011221102?\nAnswer: 1011020011221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46985525 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.3 times 17.78?\nAnswer: 520.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10.9 + -0.1. Which is the second biggest value?  (a) -0.5  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 364 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 - (-17 + 126 - 36)) + -31.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-376)\/(-141))\/((-8)\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 - 1 + 1 + (-6*r + 5*r + 0*r)*(r + 2*r - 4*r) + (-6 - 2*r + 6)*(4 - 4 - 3*r) + 0*r**2 - 3*r**2 + 5*r**2.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1400 + -746. What are the prime factors of k?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -7*y**5\/120 + 59*y**3\/2 - 45*y**2 - 5*y. Let q(o) be the first derivative of l(o). Determine q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1384014244 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/335 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 136 + -54. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 85836, 343944, 774124, 1376376, 2150700, 3097096?\nAnswer: 4215564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -4*j - 1414, 2*n + 0*n - j = 1411. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 3*g**2 - 4*g + 8. Let b be a(3). Let w = 12\/17 + -166\/187. What is the biggest value in b, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30208 is divided by 672.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 155797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -m - 32. Calculate the lowest common multiple of 7 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103107 (base 8) to base 4\nAnswer: 20121013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z + 7. Let b(d) = 2*d + 8. Let c(k) = -k**2 - 2*k + 1. Let j be c(2). Calculate j*m(n) + 6*b(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s**2 - 6*s + 12*s - 6*s + 2*s**3 - 2*s**4 to the form n*s + y*s**3 + u + j*s**2 + a*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8453*a*f**4 + 2*a*f**2 - 2*a*f - 14*a + 8*f**2 wrt f.\nAnswer: -202872*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(500) + (sqrt(500)*-1)**2 + -4 + (2*sqrt(8640))\/(sqrt(12) + sqrt(48)*1))*5.\nAnswer: 90*sqrt(5) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 794241 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 3*z - 11. Calculate o(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10258380595243 + -4.\nAnswer: 10258380595239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*1\/(-9) - (-1072)\/3. Suppose 0 = 3*o - 3*g - n, -4*o = 5*g - 734 + 240. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72959736 to the nearest integer?\nAnswer: 8542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13943142 divided by -2\nAnswer: 6971571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 0 + 2\/5*s**5 + 4\/5*s**2 + 0*s - 4\/5*s**4 - 2\/5*s**3 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 2 g when four letters picked without replacement from {l: 1, g: 6, j: 12}.\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 55\/2*20\/25. Let u(x) = x - 17. Let a(l) = -20*l + 246. Let z(q) = -a(q) - 10*u(q). What is the units digit of z(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - ((-8 - (-11 - 7) - 11) + 12)) + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 1 + 4*w - 10*w + 2*w - 4. Let l(s) = -3*s + 1. Let y(z) = 7*z - 3. Let v(f) = 5*l(f) + 2*y(f). Calculate h(o) - 3*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence amsm when four letters picked without replacement from saeeasasmaamm?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the third derivative of -5*k**8\/336 + k**7\/210 - k**5\/30 - 47*k**4\/24 - 9*k**2 + k. Find the third derivative of a(l) wrt l.\nAnswer: -300*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16 - 2)\/(-6) - 0. Sort -68, v, 5 in decreasing order.\nAnswer: 5, v, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-31 - 0)\/((-7)\/21) - (-37 + 44). Solve -h = -6*n - 92 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.15 - 0.15. Let a = l - -0.2. What is the third biggest value in a, 1\/3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -4. Which is the third smallest value?  (a) -2\/15  (b) t  (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -205410 divided by 82?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1367 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 354 - 353. Which is smaller: 67 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 225134*z**4 + 17*z**3 + 3379066.\nAnswer: 900536*z**3 + 51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 4:43 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 420\/1134*(-864)\/(-30)*10*(-6)\/(-8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 94.15085 nanograms?\nAnswer: 0.09415085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -188910*h - 560*h**3 + 188910*h - 694 wrt h.\nAnswer: -1680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, 1, 6.6, -2, -13, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 10*l + 12. Let w be b(9). Suppose -2*v + 14 = -238. Let x = v + -120. Solve -w*f + 0 = -m + 9, 3*m - x = 2*f for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1452719 divided by 6.\nAnswer: -1452719\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 15*j**2 - 9*j - 1. Let h(o) = 20*o**2 + 6*o**2 - o - 22*o**2 - o. Give -9*h(g) + 2*i(g).\nAnswer: -6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 4*d + 116 = -5*i, -3*i = -2*d + 60. Suppose o - 28 = x - 3*x, -4*o - 4*x + 128 = 0. Calculate the highest common divisor of d and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3644 - -0.1765.\nAnswer: -3643.8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.8 + 14.8. Let t = s + -12. Let m be ((-8)\/(-6))\/(2\/3). Which is the closest to t?  (a) m  (b) 3\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 10 = 4*b, r - 2*b = -r - 14. Let u be (0 + r)\/(10\/60). Let v be ((-8)\/(-6))\/((-8)\/u). Solve -v*s - 10 = 5*w + 2*s, -w - 2 = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*d = 23*d - 20*d - 135. Let i = 6 - 5.9. Put d, 10\/13, -2\/13, i in increasing order.\nAnswer: d, -2\/13, i, 10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/9*5\/(-20)*18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -148\/45 + 26\/9. Which is the smallest value?  (a) k  (b) 4  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15*(-2)\/9*11\/(165\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ypy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 37 = 5. Let s = d - 9. Solve -s = 5*m - 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/i**(3\/2))*i)\/i**(-24) assuming i is positive.\nAnswer: i**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - (-170)\/30*(21 - 0). Let d = 119 - t. Calculate the highest common divisor of d and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-10576120)\/50)\/(4 + (-6)\/(-45)*-33) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*s - 3*s - 24. Let o be s\/(-6) + 265\/15. What is k in -2*k**3 + 17*k - 2*k**4 - o*k = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2718654571 and -888.1.\nAnswer: 2718653682.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g - 12. Let c be d(4). Let s(p) = -p**2 + 8*p + 9. Let i be s(-1). Sort -7, c, i, -2.\nAnswer: -7, -2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 12. Let c = 11 - d. What is the remainder when 61*(0 + 3\/3 + c) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 180*m**2 - 376*m = 0.\nAnswer: 0, 94\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -3) + -1 + (34 - (-16 + 26))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and 266446.\nAnswer: 266448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -u**4\/12 - 8*u**2 + 11. Let s(p) be the second derivative of n(p). Let b(q) = q**2 - q**2 + q**2. What is b(s(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2092947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*w - 555*w - 20*w - 157*w.\nAnswer: -804*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 361769661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 8 = 4*w, 9*j - w - 6 = 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 5 + 1)*(-4*h - h + 4*h)*(27*h**4 - 48*h**4 + 30*h**4) + 4 + 4*h + 2*h**5 - 4 + (-4*h**4 + h**4 + 2*h**4)*(-3*h + 4*h - 4*h).\nAnswer: 68*h**5 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 + -3 + 6 + (-1360)\/(-2). Calculate the greatest common factor of p and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.50659749 to 4 decimal places.\nAnswer: 2.5066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1718069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 1450*b**3 - 175*b**2 - 175*b. Let v(p) = -25*p**3 + 3*p**2 + 3*p. Calculate 3*h(n) + 175*v(n).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 1 = 7. Let p be (8\/6)\/(k\/(-6)). What is the third derivative of 5*q**5 + 0*q + 0*q**2 + 0*q + q**p wrt q?\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -168 - a**2 - 159 + 324 + 11*a**3 + (a**3 + 0*a**3 - 2*a**3)*(1 - 3 + 4).\nAnswer: 9*a**3 - a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 9) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 1173 + 1179 = -3*p, -i = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8028 = 5*u + 2*h, -u = -2*h + 228 + 1368. Is u\/(-3) + (-7)\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -1 + 3 + 2*a**2 + 0*a - 3*a + a**3. Let f be b(2). Solve d = 3*d + 4*t + 14, 2*d = -2*t - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/((sqrt(35)*-1)\/sqrt(7)))\/(sqrt(144)*-3*-1).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gqqgqq. Give prob of picking 1 g and 1 q.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 163, -2, 0, 1 in increasing order.\nAnswer: -2, 0, 1, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-151*o - 43*o**3 + 151*o)*(-o - 7 + 2 + 3) + 9*o**4 + 5*o**4 + 3*o**4 in the form u*o + r*o**4 + w*o**2 + v + j*o**3 and give j.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 92338 and 112558?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10931328 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, i: 1, d: 1, q: 1, r: 2}. Give prob of sequence fm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/3*r - 1\/3*r**2 - 4\/3 = 0. What is r?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -461 = -12*g - 629. Let l be 0 - ((-35)\/g + -1). Sort 204, -4, l in increasing order.\nAnswer: -4, l, 204","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 0.14  (c) 2  (d) 78862\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2942 divided by -1003.\nAnswer: 2942\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 PM and 5:13 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -5*j**2 - 11898260*j + 23796540 = 0.\nAnswer: -2379654, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 3*j**2\/2 + 3*j. Let k be d(-10). Suppose 3*x + 11 = 2. Put -2\/7, k, x in descending order.\nAnswer: -2\/7, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 39 and 996.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*m - 2*m + 0*m)*(1 + 0 + 1) + 1 - 1 - 2*m + (-45 + 18 - 42)*(3 + 4 - 4)*(-5*m + 1 - 1) as p*m + l and give p.\nAnswer: 1029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 792 and 365112?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-142*o + 306*o - 10*o)*(o - o - 2*o**3)*(-2 + 0 + 0).\nAnswer: 616*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 24, -8, 1618, 0 in increasing order.\nAnswer: -8, -4, 0, 24, 1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-2\/3))\/(a*a*a\/a**(-5\/6)))**33*a**(-7)*(a*a\/(a\/a**(-4\/9)))\/a*((a*a**(1\/2))\/a)**(11\/4) assuming a is positive.\nAnswer: a**(-8753\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/1 + 1*4. Suppose -3*k + 17 = 4*o + 2*k, 0 = -p*o + 5*k + 4. Suppose -o*v + 0 + 15 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 55185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (3 - -1) - (16 - 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 6 = -11. Calculate the remainder when a\/((-18)\/(-34) - (-6)\/(-12)) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-513*u**2 + 1393*u**3 + 513*u**2 + 1081*u**3)*(-5*u**2 + 3*u**2 - u**2).\nAnswer: -7422*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(5082) - sqrt(5082)*-1) - sqrt(5082))\/(-3*(sqrt(96) + ((sqrt(96) + 2*sqrt(96) - sqrt(96) - sqrt(96)) + sqrt(96) - sqrt(96)) - sqrt(96))).\nAnswer: 143*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -3*i. Let k(v) be the second derivative of 7*v**3\/6 - 6*v. Determine q(k(d)).\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*o + 17*o = 25. Suppose 3*g - o*g - 5*v + 110 = 0, 4*v = 16. What is the greatest common divisor of 30 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**2 + 5 - 1 - 140*w**3 - 5.\nAnswer: -140*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91 + 259. What is the highest common factor of 21 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6*(2 + (-16)\/(-6)). Let o = -61 + 1321. Suppose 4*p = -p + o. What is the greatest common divisor of p and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39 = -4*x - 3*t, 17865*x - 33 = 17862*x - 6*t for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1*(sqrt(4536) + sqrt(4536) + 3*sqrt(4536) - sqrt(4536))*2)\/(sqrt(64)\/((sqrt(32) - sqrt(2)) + sqrt(2) + sqrt(2))).\nAnswer: 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2*q - 10 = 0, -20 = -8*w + 3*w - 4*q. Find the third derivative of -3*b**6 + 5*b**6 + 2*b**2 + w*b**2 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z**3 - z**2 - 9*z + 15. Let q be x(2). Which is smaller: q or 25?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**3 + 22*h**2 - 2*h + 7. Let u be t(5). Suppose 16*d + 22382 = u*d. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b - 64 = -99. Suppose 247 = 4*o - a, -a = b*o + a - 325. Calculate the highest common divisor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*f**4 + 66*f**3 + 11819*f**2 + 12*f - 8506128?\nAnswer: 180*f**2 + 396*f + 23638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**3\/5 - 5842*d**2\/5 + 1044126*d\/5 + 7608330 = 0.\nAnswer: -31, 225, 2727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.89 + 0.11. Let d = 18.5 - 18.3. Which is the closest to x?  (a) d  (b) 3\/4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand i**4 + 0*i - 3*i**2 + 5*i**2 - 3*i + (3*i**2 - 2*i**2 - 2*i**2)*(-2*i**2 + i**2 + 2*i**2) - 1 - i**4 + 1.\nAnswer: -i**4 + 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2\/7, -2, -3\/4, -8 in descending order.\nAnswer: 6, -2\/7, -3\/4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 - -29 - (-2 + -3)) + 58 + -41?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (151 + 4)\/(275\/10) + -4.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156346 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 2*u + 6 = 2, -4*i + u = -3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (3 - 8 - -6 - -3) + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 69\/6)*10. Let x = 24 + q. What is the remainder when x is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -14*i**2 - 12*i - 2. Let j be h(-4). Let z = -530\/3 - j. Suppose -z*g**2 - 2\/3*g**5 + 0*g**3 + 2\/3*g + 0 + 4\/3*g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t**2 - 4*t - 12. Let x be m(-5). Let g be (-28)\/(-42)*x\/(-4). Suppose 0 = g*i - i - 774. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -l**4\/4 - l**3 - 3*l**2\/2 - 123*l. Let d(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k**5 - 11678*k**4 - 557180*k**3 - 7206212*k**2 - 12787586*k - 6126878 = 0.\nAnswer: -5791, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2001280 and 18232?\nAnswer: 86055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5133 + -4052. Is 47 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-28)*1*((-129)\/(-860))\/(54\/(-180))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 512 - 307. Suppose 4*o - d = 775. What is the greatest common factor of 49 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6 + -8)*1\/(-2). Which is the nearest to 0.1?  (a) -4  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*r = 20. Let l(k) = k**2 - 3*k - 2. Let x be l(4). Let p(u) = 7 + 12*u - 11*u - x. What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/10, 174.2, 0 in descending order.\nAnswer: 174.2, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13909247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4241112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -12*(5 - -3*(-189)\/112). Which is the fourth biggest value?  (a) 1\/5  (b) w  (c) 4\/7  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiyiiiiii. Give prob of picking 3 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -491 - 345. Is -836 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -67 + 66.932. Let u = v + 0.168. Sort -4, u, -0.3 in decreasing order.\nAnswer: u, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a4 - 776?\nAnswer: -6b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -ea05 (base 15) in base 2?\nAnswer: -1100000101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 6:32 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 7*f + 33. Let t be m(7). Let a = 105 - t. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j + 15. Let q be u(1). Suppose -3*a + 5*p = -123, -186 = -5*a + 3*p - p. What is the greatest common divisor of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.6194 - 17261877?\nAnswer: -17261843.3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fymf when four letters picked without replacement from mytfftf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**5 - 10*g**4 + 14*g**3 - 6*g**2.\nAnswer: 2*g**2*(g - 3)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-24)*0 + 4\/1. Suppose x*s = -337 + 2053. List the prime factors of s.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 - 6*q**2 + 19*q + 2. Calculate r(4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -76 + 28. Which is bigger: -13 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -3*s**4\/4 + 20*s**3 - 1. Determine w so that n(w) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 65806 + 10581. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 6*d**2 - 5*d + 10. Let i be r(-7). Let m = 6 + i. Let a(k) = -k**m + 4*k**2 - k**2. Let x(v) = -v. Determine x(a(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**3 - 3*v**2 - 4*v - 1. Let n = 39 + -49. Let j be 10\/4 + n\/(-20). Determine o(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8580827 divided by 367?\nAnswer: -23381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 145304, 145474, 145642, 145808, 145972, 146134, 146294?\n\"Answer: -s**2 + 173*s + 145132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1957*k**5 + 628*k**2.\nAnswer: 117420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*r + 234598 = -s + 22351, 3*s = -4*r + 49934. Calculate the greatest common divisor of 55 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17\/9 + 117\/1053. Solve 0 = 2*n - n - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20535940*a**4*h*s - 2*a**2*b*h*s + 748*a*b*h*s - 116*a*b + 7*a*h*s + 3*b + 2*s wrt a.\nAnswer: -246431280*a**2*h*s - 4*b*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1034\/(-726) + (-1)\/(-11). What is the closest to 9 in 0, -3, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -105028 + 1049247\/10. Which is greater: -102 or g?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2848899?\nAnswer: 3, 949633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, d: 2}. What is prob of picking 1 b and 2 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -0*u. Let t = 0.06184 - 0.10184. What is the second biggest value in 1.5, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-7)\/5 - (-2)\/5)\/1. Which is the closest to j?  (a) -2  (b) -1\/6  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24, 31, 12, -45, -152, -321, -564?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6\/17 + 27\/68. Put -0.5, -3, u in increasing order.\nAnswer: -3, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2196)\/9882*(-12)\/(-8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 6 = 4*r + 5*u, 5*u + 18 = 4*r. Suppose r*j = j + 31. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -46.633 or 1?\nAnswer: -46.633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26 - (0 - (2 - (-8 + 19))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 22 * 4\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14.7436 and -10.\nAnswer: 147.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5*v - 10 = -9*c, 3*v = c - 10. Suppose c*l - 7*l = -15. Suppose -170 = -l*s + 55. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 116*v + 1. Let j(t) = -349*t - 2. Calculate 3*j(m) + 8*r(m).\nAnswer: -119*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26579.\nAnswer: 7, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -390 divided by -6.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4102500 by 5470.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y**2 + 16*y. Let z be h(-4). Suppose z = -7*g + 6*g + 131. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18919442?\nAnswer: 2, 89, 157, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 174 = -492. Let c be (-46 - -47)\/(-6*8\/(-12432)). What is the highest common divisor of g and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1*sqrt(972))\/(5*sqrt(36)).\nAnswer: -1 + 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, -0.3, 7.3, 0.6, -113 in increasing order.\nAnswer: -113, -3\/5, -0.3, 0.6, 7.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/4872, -0.1, -5, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -18*l + 1 - 14899*l**5 - 2*l**4 - 4 + 2*l**4 + 19374*l**5 wrt l.\nAnswer: 89500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**2 - h**2 - 8*h**2)*(-4 - 1 + 4)*(-7*h + 16*h + 10*h).\nAnswer: 209*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -6*v**2 - 16*v + 12. Let t(a) = -5*a**2 - 17*a + 13. Let u(w) = 4*o(w) - 5*t(w). Let c be u(-22). Calculate the highest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 680 and 17867.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -47*n. Let l(q) = -9*q - 4 + 36*q + 4 - 17*q. Give s(l(w)).\nAnswer: -470*w","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}