{"text":"Question: Let v(y) = -y**3 + 43*y**2 + 3462*y - 136262. Give v(37).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (59 - 1522\/26)*(-82)\/2?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11534494?\nAnswer: 2, 5767247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00018447 to six dps.\nAnswer: 0.000184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-52)\/(5460\/45) - (-270)\/(-14))\/((-6)\/21)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -61574, -123216, -184858, -246500, -308142?\nAnswer: -369784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, f: 1, r: 4}. Give prob of sequence rfs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9*d. Let i(x) be the first derivative of 17*x**2 - 59. Calculate p(i(g)).\nAnswer: 306*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -28439*h - 38705478. Give z(-1361).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 7*j**2 + 4*j - 4. Let b be r(3). Suppose -5*u - 4*y = -319, y = u - 0*u - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10101011111 (base 2) in base 8?\nAnswer: 2537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -21*r**2 + 36*r - 93. Let z(w) = 6*w**2 - 10*w + 26. Let i(m) = 5*a(m) + 18*z(m). Let f(o) = -7*o**2 - 7. Give 2*f(g) + 5*i(g).\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 PM and 1:08 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 374623183*v**4 - 518991828 wrt v?\nAnswer: 1498492732*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 + 19. What are the prime factors of m\/14 - (-2220)\/70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50523, 50527, 50531, 50535?\nAnswer: 50539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 36 = x - 7*x, x + t = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 1130*m - 6. Let w(z) = -20*z + 1. Give d(n) + 8*w(n).\nAnswer: 970*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of 1\/3*r**3 - 6 - 1\/6*r**4 - 1\/2*r**2 + 4*r. Let x(c) be the first derivative of h(c). What is x(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 1\/2, -3\/4, -2\/33, -4\/3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and 1312177.\nAnswer: 1312180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 6:18 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 39*q**2 - 39*q - 43. Determine g(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 6:36 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-297 + 524 + 96)*(-3*d - 4*d + 6*d).\nAnswer: -323*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1339 + -1338.7. Which is the smallest value?  (a) 2.8  (b) o  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(9\/24 - 47\/(-24)). Suppose -4*t + 3*t = 3*s + 5, t = -5*s - r. Let n(d) = -12*d. Calculate n(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6.25 + 2.16. Let q = 4 + r. Let p = q - -0.090014. What is p rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**5 + 20*x**4 + 99*x**3 - 36*x**2 - 972*x - 1296 = 0.\nAnswer: -12, -6, -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1934839, -1934841, -1934843?\nAnswer: -1934845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 7063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1048745051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.009 + -2.309. Let i = n + 2. Let x = i + 0.2. Are -2 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22936320 and 108288?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-15) - (5216\/(-12))\/4. Solve r*j - 116*j - 40 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) 0  (c) -4\/211  (d) -385  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7048000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -88, 2, -5, 4 in decreasing order.\nAnswer: 4, 3, 2, -5, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aataamgtg. What is prob of sequence tg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/17)*y*y*y**(-3\/8)*y)**(-1\/52)\/((y**(-1\/3)\/(y*y**(-8)*y*y))\/((y\/(y\/y**(-5\/2)))\/y**6)) assuming y is positive.\nAnswer: y**(-280463\/21216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6544.4 - -7365.82. Round r to the nearest 10.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -115 < 1261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 325 - 115. Let v = -30 + h. Let l = 89 + -86. Calculate the greatest common divisor of l and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51633323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*c + 238*c - 2925. Calculate the greatest common factor of c and 2652.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -4\/5147531 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 - 4*f**2 - 1474*f**3 + 1461*f**3 + (4*f**2 - f**2 - 2*f**2)*(1 - 1 + 2*f) + f - f**3 - f.\nAnswer: -12*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -324, -248, -172, -96, -20?\n\"Answer: 76*d - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.1323 - -1.13. What is b rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 10, -7, 10.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.457 - 2\nAnswer: -1.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 3*g**3 - 27*g**2 - 144*g + 1344 = 0.\nAnswer: -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 874.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 429040857 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (15\/(-4))\/(12\/(-32)). Suppose -10*u + 11*u = l. Solve 0 = -5*m + u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -3*w - w - 17, -3*k - 1 = 2*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 9*o**2 + 8*o + 1. Let s be z(8). Let c = 0.2 - 0.2. What is the smallest value in c, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 128 and 33472.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 - -39. Suppose -l + 74 = 3*a. Round a to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/7  (b) -0.2  (c) -0.07  (d) -4  (e) -1  (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 9202.\nAnswer: 110424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*z**4 - 2*z**4 + 0*z**4 - 4 + 4 - z**4 + (0*z**2 - 10*z**2 + 4*z**2)*(2*z - 2*z**2 - 2*z).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 + -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-6)*65\/78*(-18)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -35 + 217?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1230 (base 8) in base 9?\nAnswer: -817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13.3 - 14.5. Which is the third smallest value?  (a) 0  (b) -0.06  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13542 is divided by 4511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 31 + 9. Suppose -j + 3*o - 2 = -o, j - 7 = -5*o. Sort l, -0.4, j in increasing order.\nAnswer: l, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17 - -45. Let v = -516 + 586. Calculate the greatest common divisor of v and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = -4*j + 1, 3*j + 2*q = -2*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 9, 32, 65, 108, 161?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 16 = -0*q + q, 4*q - 4*h - 32 = 0. Let y be -1*(-4 - (3 - 2)). Let z = q + y. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2594 * 4\nAnswer: -10376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4526316.\nAnswer: 2, 3, 125731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and 1082?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -247\/105286?\nAnswer: -247\/105286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 greater than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 - (-2 + 0)) + 4864. Let w = 48741\/10 - z. Let j = 25544\/1179 + 1\/1179. Calculate the common denominator of j and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 140477 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*l + 4*c - 108 = 0, -l = -33*c + 38*c - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 + 2. Suppose 3*x - 16 = -x, -2*q + 3*x = -j. Suppose 8 = 2*l - 2. Calculate the remainder when q is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5863388342.\nAnswer: 2, 7, 10987, 38119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.116607 from -0.1.\nAnswer: -1.216607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 - 12*s**2 + 3*s + 64. What is the units digit of h(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12.2392 - -281.179221\nAnswer: 293.418421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 12:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 5, 2, -84, 210 in increasing order.\nAnswer: -84, 2, 5, 11, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1460 = -3*j + 5*g, 2*j + 2460 = 7*j + 5*g. Let a = j + -131. Suppose a + 514 = 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (-1)\/((-3)\/33*1). Let y = -7 + q. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 32*h**3\/3 + 22. Let w(x) = 3*x. Calculate w(v(o)).\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 477 minutes before 1:09 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -48200 or -626589\/13?\nAnswer: -48200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77633874 is divided by 431.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 80, 4, 4.6, 7, -1, -0.6.\nAnswer: -1, -0.6, 4, 4.6, 7, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4 - 18*q**3 - 8*q**2 + 72*q.\nAnswer: 2*q*(q - 9)*(q - 2)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -110 + -211516?\nAnswer: -211626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.067 in 0.4, -0.3, 0.04, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2725907 nanograms in kilograms?\nAnswer: 0.0000000000002725907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2779*l**3 - 483729*l**2 + 360533*l + 120409. Let y(k) = -k**4 + 3*k**2. Let v(f) = -n(f) - 4*y(f). Factor v(h).\nAnswer: (h - 347)**2*(h - 1)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 165*l + 69973 - 68810, -5*l - 27 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 9:17 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -11*x + 5*x. Which is the nearest to x?  (a) -11  (b) 3  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (30 + x - 27 - 2*x)*(-3 + 2 - 1) to q*x + u and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 211542 = 3*b, 4*u - 10*b = -7*b + 282077. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 4*(sqrt(112)*-1 + 4)**2.\nAnswer: -128*sqrt(7) + 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 8 = 0, -4*n + 3*v - 11 = 9. Let x = -0.11 + -0.39. Which is the fourth biggest value?  (a) 0.1  (b) n  (c) 2\/13  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 19 = -v, v + 2*v + 9 = 0. Let w(f) = f - 3. Let x be w(i). Let h be -1 - (-2*x + -2). Solve -k + 1 = -4*o, k = h*o - 0*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 k when four letters picked without replacement from {k: 3, u: 9, e: 5, r: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -20554, -20553, -20554, -20557, -20562, -20569, -20578?\n\"Answer: -d**2 + 4*d - 20557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**2 + f + 7. Suppose -2*s - 3*c = 3, -5*s - 14 = 2*c - c. Let y be a(s). Let w be ((-2)\/(-1))\/(-1)*y. Solve -3*p - w = u + u, 0 = -4*p - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -114.62 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 61962342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*w + 117836 = 409897. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of s**3\/3 + 3*s**2 - 3*s + 2. Suppose 0 = -4*y - 0*y + 16. Suppose q - 3*q = 5*x + 25, 3*q + 20 = -y*x. Calculate u(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31324443 (base 5) to base 13.\nAnswer: -91bb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 11 = -4*z. Suppose -z = -4*a + 4. Let h(b) = b**3 + 2*b**2 - 4*b - 1. Let d be h(-3). Solve -w = d*o + 4, a*o + 0*w + 4 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 491863*n*y**2 - 36*n*y - 19666543*n - 2*y**2 wrt y.\nAnswer: 983726*n*y - 36*n - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 12*b**2 - 17*b - 13. What is the remainder when 65 is divided by k(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 469288692 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24.195 - 0.095. Let w = r + -1.1. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8432 and 393584?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**14\/((w*w**3*w*w*w)\/w))**(-41) assuming w is positive.\nAnswer: w**(-328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -73 + 368. Let t = -245 + x. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.079 + -8.5301?\nAnswer: -8.6091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = 2*s + 6. Is -22 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 3132 = -s, -4*t + 3*s - 5407 = 847. Let v = -1112 - t. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 10, c: 6, m: 2}. What is prob of picking 2 m and 2 c?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -541*f = -534*f + 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 - 8*a**2 - 8*a - 8. Let b be z(9). Suppose 2*t = -b + 5. Suppose -4*h + 10 = -t*g - 3*g, 2 = 4*h - g. Solve 3 = p, 2*k + p + 0 + 3 = h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.23  (b) -1  (c) 0.76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 450 or 448?\nAnswer: 450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/5)*w)\/w*w**4*((w*w**(-1)\/w)\/w)**(15\/2) assuming w is positive.\nAnswer: w**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*k, -23584 = 3*i - 5368*k + 5370*k. Which is greater: i or -7865?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, o: 3, e: 4, l: 2}. Give prob of sequence hel.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 - 2*h**2 + 32 + 390915863*h**3 - 390915964*h**3 to the form d + g*h + b*h**2 + k*h**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 6*r - 7*r + 3 = 0, 2*r = -3*g + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22343\/50922 - 148\/1107. Calculate the common denominator of 127\/138 and z.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 5, -2, -7, -4, 13?\n\"Answer: n**3 - 5*n**2 + n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (40\/50)\/(3\/1920)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -50242.4468 to the nearest 10.\nAnswer: -50240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*r - 14*r + 444. Let k = r - 1330\/9. Determine i, given that 2\/9*i**5 + 2\/3*i**3 + 0*i + k*i**2 + 0 + 2\/3*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h + 1. Let p(l) = l - 2. Suppose -2*i = -3*m - 18, 5*i - 11 = -m - 0*m. Give m*v(n) - 3*p(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w - 1. Let m be r(4). What is the second derivative of -3*g**3 + 4*g**3 + m*g + g**3 - 4*g**3 wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and 36.3?\nAnswer: -14.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 2. Suppose -r + 15 + 13 = s. Suppose 2*l + m = 7, -1 = -0*m + m. What is the greatest common factor of l and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -486, -487, -490, -495, -502, -511, -522?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -6078 minus -1.374?\nAnswer: -6076.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2578450186 to the nearest integer?\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 241 divide 475464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of a + 0 + 0*a**2 + 1\/2*a**3. Let g(z) = z**2 + 5. Let y(w) = w**2 + 6. Let v(j) = 6*g(j) - 5*y(j). Give v(n(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 1 - 0, 2*x - 1 = -z. Suppose 3*y + 15 = -2*y. Suppose -4*d - 8 = -0*d. Which is the biggest value?  (a) z  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 245*p - 1. Let k be f(1). Let z(v) = 467*v + 12. Let d be z(-4). Let r = d - k. What is r rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 7924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 747 = -43*y. Solve y*t + 17 + 19 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = n + 1, 2*n - 37 + 12 = -3*p - 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from cecceeeccccececeeee?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, b: 1, w: 2, m: 1}. Give prob of picking 1 b, 1 m, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 1 = -4*v + 3*t, -4*v - 10 = 2*t. Let g = -133.9 + 134. Which is the nearest to g?  (a) v  (b) -0.5  (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c + 4*p - 28, 5*c = -3*p - 25 + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 689404 divided by 172351.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*d**3 - 141148*d**2 - 1245384064*d - 3734881968 = 0. Calculate d.\nAnswer: -17642, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -v**8\/840 + v**4\/12 - v**3\/3 + 1. Let x(g) be the third derivative of u(g). Differentiate x(t) with respect to t.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 83, 15, -85, -217, -381, -577?\n\"Answer: -16*g**2 - 20*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 - (82 + -25 + -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 851968 and 832?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1839 + -902. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-13) + (-1152)\/(-117). Let t(j) = -j**3 - 7*j**2 - 7*j - 4. Suppose 2*z + 3 = -9. Let r be t(z). What is the greatest common divisor of o and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5\/6 + -2369\/2850. Let i = b - -941\/4275. Factor -4\/9*y**3 + 4\/9*y + i*y**4 - 2\/9 + 0*y**2.\nAnswer: 2*(y - 1)**3*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4*r - 60. Let h be x(15). Suppose 2*p + 316 = 3*k - h*p, -209 = -2*k + p. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 20  (c) -4  (d) 2\/13  (e) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -1 + -161 + 152\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0583 to three decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -12, 13, -6, 2, 3, -18.\nAnswer: -34, -18, -12, -6, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -6418?\nAnswer: -15\/6418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 102\/(-15)*2120\/5088?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u - 23. Suppose -18*x - 116 - 82 = 0. Let g be a(x). Are -57 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(5 + (sqrt(50)\/(sqrt(15)\/sqrt(3)))\/(-4*sqrt(45))) + 1)**2.\nAnswer: -65*sqrt(2)\/3 + 48697\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17487, 34925, 52287, 69537, 86639?\n\"Answer: -6*d**3 - 2*d**2 + 17486*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 200 and 2?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -3*t - 65, -3*t + 2263 = s + 2304. Let z(v) = 2*v - 38. Determine z(t).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/108 and -17\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 2*x - 349 = 0, -2*u = 2*x + 111 - 357. Suppose 0 = -2*l + 107 + u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - y - 8. Let t be l(0). Let s = -2 - t. Let o(r) be the second derivative of -r**4\/12 + r**3 + 3*r**2\/2 + 3154*r. Calculate o(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 2*y - 107 = 0, 0 = -s - 5*y + 2 + 1. What is the greatest common factor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**3 - 2*b**3 - 3*b**3 + 0*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -1194*m - 1299. Let a(z) be the first derivative of -239*z**2\/2 - 260*z + 8. Let s(x) = -21*a(x) + 4*f(x). Differentiate s(u) with respect to u.\nAnswer: 243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -81*y + 39*y + 72*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ywuwuwuuuuuuuuuyyw. What is prob of picking 1 w and 3 y?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 115 (base 7) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 105374 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1125 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/234*(45\/(-4))\/((-10)\/((-20)\/(-3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*p + 25*p + 48 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 354.8 - 354.9. What is the third smallest value in d, 2\/13, 3, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**4 + 8*r**4 + r**4)*(4*r + 4*r - 7*r).\nAnswer: 15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 20112.111ns in days?\nAnswer: 0.0000000002327790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*r - 166*r - 12 = 44 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 7*p + 19. Suppose -34 = 4*x + 5*j - 3*j, x = 2*j - 16. Give v(x).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccccbbcobcb. Give prob of sequence bo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8838 = -29*y - 1008. Calculate the remainder when y is divided by 270.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -636748 and 23.\nAnswer: -14645204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 71 = -443. What is the greatest common divisor of 158 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 7:34 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r**2 + r**2 - 52 + 0*r**2 + 52.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 104916 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: Collect the terms in 78370*j - 26117*j - 26126*j - 26125*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 8.3. Let g = 0.3 - -0.6. Let d = 0.9 - g. Which is the biggest value?  (a) d  (b) 1\/5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppyuguuquaypu. What is prob of picking 1 y and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/3757 - -3765\/15028. Let r(q) be the first derivative of -2\/3*q**3 + 0*q + f*q**4 + 10 + 0*q**2. Find the third derivative of r(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(sqrt(72) + 3*sqrt(72)) + (-4 + sqrt(7) + sqrt(42)\/(sqrt(6)*-3 + sqrt(6)))**2.\nAnswer: -47*sqrt(7)\/12 + 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*q**4 + q**4 - q**4 + (-9*q**2 + 33*q**2 + 7*q**2)*(2*q + 2*q**2 - 2*q) in the form s*q + x + u*q**2 + v*q**4 + a*q**3 and give v.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.99 - -1.9. Let p = 3.0537 + x. Round p to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10647 = 3*z - 28347. Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 5*h - 1437 + 1432 = 0, -12*z - 3*h - 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 45, -4, -37 in descending order.\nAnswer: 45, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 1526*a - 173. Is r(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 4*n**2 + 375*n - 1491. Give o(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120260341 is divided by 649?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 0*n - 2*n + 74 = 0, z - 29 = 3*n. Suppose -4*o + 851 - 211 = 0. What is the highest common divisor of o and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -677*j**2 + 38593*j - 167. What is x(57)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a*c**2*o**2 - 4*a*c**2 - 185*a*c*o**2 - 42*a*c + 3*a*o - c**2 wrt o.\nAnswer: -2*a*c**2 - 370*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -76, -813, -1550?\n\"Answer: -737*k + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 613459255.\nAnswer: 5, 3701, 33151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 49173 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 8 = -m, -12*m + 14*m + 4*b = -24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 41826 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -23351 > -23353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15466.\nAnswer: 2, 11, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5, -3*w + 387 = -o - 856. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 19662790?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1062051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 82*k**2 + 2918*k + 4420 = 0.\nAnswer: -34, -65\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 7\/1550 and -79\/465.\nAnswer: 4650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(11) + (1*sqrt(22))\/sqrt(2))*-6*1)**2 - 2*2*(sqrt(11) - (1 + sqrt(11)))*-3)*4.\nAnswer: 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 222073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 5*u**2. Let c(y) = 7*y**3 + y**2 + 2*y - 9. Let j be c(3). Let a(l) = 191*l - 556*l + 191*l + j*l. Give o(a(g)).\nAnswer: 2205*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m - m + 2*m)*(-1 + m**4 + 1) + m**5 + m - m.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51 + 93. Solve -5*k**4 - 5*k**3 + p*k**2 + 0*k**3 - 32*k**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/(-4)*(-16)\/(-6). Let h be 13\/5 - l\/15. Find the second derivative of -2*c - 3*c**3 + 0*c + c**h wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*i - 3*i + 2*i)*(0 + 1 - 3)*(2*i + 3*i - 4*i) to the form h + y*i + v*i**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 158*h**3 - 148*h**4 - 2978 - 166*h**4 + 343*h**4 - 3531 wrt h.\nAnswer: 116*h**3 + 474*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*y - 1166 = -1062. Let n(p) be the third derivative of -1\/8*p**y + 0 - 21*p**2 + 0*p + 0*p**3. Let s(w) = 10*w. Calculate n(s(k)).\nAnswer: -30*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = u - 5*b + 25, -5*b + 25 = 0. Suppose -3*q + 5*w + 17 = -u, 3*q - w - 1 = 0. Let g(n) = 30*n**2 + n + 1. Is 15 a factor of g(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(3\/7)\/(w*w\/w**0*w*w))**(-7) assuming w is positive.\nAnswer: w**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-467 + 455 - (0 + 8)) + 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) 8\/9  (b) 0.04  (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 43035 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1476 + -1544. Which is greater: w or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*d**6*g**3 + 334*d**4*g + 4*d**2*g**2 + 37*d*g + 2*g**3 wrt d.\nAnswer: 840*d**3*g**3 + 8016*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -16*d**2 + 9*d + 2. Let p(c) = 18*c**2 - 11*c - 2. Determine 5*j(f) + 4*p(f).\nAnswer: -8*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/10 + (-12)\/(-5). Let u be (-2)\/(v\/4*18). Let q = 0.6 - -2.4. Which is the closest to 0.1?  (a) 0.5  (b) q  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 3 - 3*v**2 + 6*v**2)*(11*v - v - 3*v) to z*v**2 + r*v + p*v**3 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/60 and 9\/14125.\nAnswer: 169500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.4 + 0.4. Let z = 1.5 + h. Let g = 26760 + -26756. What is the smallest value in z, 3, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 766 + (-1 - -2) + -3. Suppose -3*h = 5*c - o, 1042 = 4*h + 3*c - c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22176 and 4788.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4960969 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of f**5\/20 + 7*f**4\/12 - 3*f**3\/2 - 5*f**2\/2 + 2*f. Let d be j(-8). Let i = -4 + d. Which is greater: i or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 9 - (43 - 11 - 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 9:11 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -22*k + 994. Let j be y(45). Let d be 0 - (0 + 0\/3). Solve -j*v + d*v = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**5\/60 + 5*t**4\/12 + 5*t**3 - 42*t**2. Suppose -8*j + 4*j + 72 = 0. Calculate the smallest common multiple of c(-12) and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 618 in decreasing order.\nAnswer: 618, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.97 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19.45 + 19. Let r = 0.05 - f. Which is the closest to 1?  (a) 1\/6  (b) -0.1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of c**8\/8400 + c**7\/2100 + c**6\/1800 + 5*c**3\/3 - c + 33. Let f(z) be the third derivative of p(z). Factor f(v).\nAnswer: v**2*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3110 divided by 21?\nAnswer: 3110\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 147*m + 2. Let y(c) = -c**3 + 2*c**2 + 1. Give j(f) + y(f).\nAnswer: -f**3 + 147*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -396 + 74*n**4 - 628 + 48*n**2 + 52*n**3 - 143*n**4 + 73*n**4 - 1024*n.\nAnswer: 4*(n - 4)*(n + 1)*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8\/5751 - 66368\/63261. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-7)\/(-4))\/(-1812 - -1809)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81540 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 118*k**3 - 139 with respect to k.\nAnswer: 354*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.075*31732.\nAnswer: -2379.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -29, -218, -409, -602?\n\"Answer: -m**2 - 186*m + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1194 = 5*m + 3134. Let l = m + 390. Solve -b + l - 7 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + f - 2*f**2)*(-2*f - 2*f + 3*f) - 39*f**3 + 20*f**3 - 45*f**3 + f**3 - 4*f**3 + 4*f**3 as n*f**3 + t*f + l + s*f**2 and give n.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 162*b**2 - 634*b - 4. Calculate c(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1469*o**3 - 1473*o**3 + 2*o - 3*o + o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1687*a**3*p - 6229*a**3 - 43103018*a*p wrt a?\nAnswer: -10122*a*p - 37374*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 25, 0.12 in increasing order.\nAnswer: -2\/9, 0.12, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/5, 5, -0.3, 2, 29\/557, -0.4 in increasing order.\nAnswer: -6\/5, -0.4, -0.3, 29\/557, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3849 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 - 250?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**4 + 0*h**4 + 0*h**4)*(-h + 2 - 2) - 2*h**3 + 2*h**3 - 2*h**5 + 6*h**5 + 7*h**5 - h**5 + 4 - 4 + h**5.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 69\/(-46)*8\/(-18). What is the third smallest value in -4, d, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, -0.2, -196, -3?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3832 divide 2404882728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(17*i - 44*i - 15*i)*(2*i - 5*i + 2*i).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 145\/15 - (-2)\/(-3). Let o be 6\/4*12\/y. Suppose -o*n + 44 = -0*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53697.16 litres?\nAnswer: 53697160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 148743 and 23513.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202*y**2 + 2*y - 2*y - 186*y**2.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -27*k**2 + 51*k**2 - 22*k**2 + 1 + 2*k**3 in the form i + y*k**3 + z*k + x*k**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-414)\/24)\/23)\/(9\/(-30))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.3, -6\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 19*j**2 - 6*j - 6. Let m(t) = -533*t**2 + 169*t + 169. Let l = -3293 - -3124. What is l*a(w) - 6*m(w)?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 235091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 685 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-5)*t\/(t*t**10))\/(t*t**(3\/2)*t**(-10)\/t) assuming t is positive.\nAnswer: t**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 3, -7\/4, -2\/9.\nAnswer: -4, -7\/4, -2\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 0. Let v = -10 - -22. Let n be 4\/v - (-2 + 2). What is the nearest to n in b, -0.5, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89.56669 weeks in seconds?\nAnswer: 54169934.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7449 - 480*l - 22429 + 7528 + 7452.\nAnswer: -480*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 31*l + 27*l = 4, -5*c + 2*l + 9 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (86\/(-258))\/((-8236)\/(-8238) - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -35, -28, -11, 22, 77, 160, 277, 434?\n\"Answer: z**3 - z**2 + 3*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as 1\/16672070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4017 + -3958. Calculate the remainder when 338 is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w**3 - 9 - 2*w**2 + 7 + 10 + 2*w**3 as q*w**2 + h*w**3 + s + m*w and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24885*j + 12123*j + 13097*j.\nAnswer: 335*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 11*k + 62. Suppose -7 = l + 3*h, -11*l = -15*l - 4*h - 20. Calculate the remainder when (2 + -3)\/(2\/(-102)) is divided by p(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-4)))\/n**(-10))**6 assuming n is positive.\nAnswer: n**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = s + 14, 3*t = -5*s + 30702 - 30707 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -392 + 643. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36432.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -31\/6, 6, 4\/7, -0.8 in decreasing order.\nAnswer: 6, 4\/7, -0.8, -31\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 16 = 7*b. What is the highest common factor of 64 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 3:26 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13013*q**2 - 3*q - 977877 wrt q.\nAnswer: 26026*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fggfgg. Give prob of picking 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000007129 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -300.88 - 4.12. Let d = 234 + i. What is the third smallest value in -5, 1\/4, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -9*v**3 - 4*v**2 - 2*v - 5. Let d(h) = h - 4. Let j be d(0). Is l(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2.92, 13, 6?\nAnswer: 2.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2.07  (b) 0  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of k**5\/60 + 7*k**4\/24 + 2*k**3 + 57*k**2. Calculate the remainder when 55 is divided by b(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 - -4.9. Let v(d) = d - 1. Let u(h) = 5*h - 1. Let w(x) = u(x) - 3*v(x). Let n be w(-3). Which is the closest to f?  (a) 3  (b) 2  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11 and 237.034.\nAnswer: -2607.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - 105*(-66)\/(-550)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4646, -4641, -4634, -4625, -4614?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 299 a factor of 249492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8294*c**4 + 6*c**2 - 31*c + 1.\nAnswer: -199056*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -162, -348, -616, -966, -1398?\nAnswer: -1912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 306 = -8*z. Let t be (-6)\/z + 156\/(-459). What is the closest to 0.1 in 4, t, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 4*q - 3*q)*(4*q**4 - 4 + 4 + (-q + 2*q - 3*q)*(-14*q + 8*q**3 + 14*q)) + (-6*q + 2*q - 16*q)*(q**4 + 3*q**2 - 3*q**2) - 7*q**2 + 7*q**2 + 7*q**5.\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1284 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2304*p - 1300*p = -37*p + 2361*p - 142272 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 27504\/(-13179) - (2 - (4 - 0))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 902 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -102 in 0.2, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 280 = -351*v + 379*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 0 - 24. Suppose 5*b - 5*s = 30, -5*b + 0*s = s - t. What is the first derivative of 3*m**2 + m**b - 1 - 3*m**2 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55703 - 4?\nAnswer: 55699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j + 5*v = -16*j + 56, j - 3*v = 0. Solve 0 = u + q, u - j = q - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = -3*o + 415, 5*o + 369 = 4*w - 0*o. Suppose 0 = -0*n - 2*n - r + 71, 0 = -2*n - 4*r + w. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 22 = -z. Suppose 0 = -2*t + 3*t - 150. Suppose -3*w - 2*w = -t. Calculate the greatest common divisor of z and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 - 13*r - 13. Calculate the remainder when 49 is divided by x(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + 5 - 1 - 4. Let j be 3 + 3 + q + -1. Factor -j*o**2 + 7*o**2 - 4*o + 5*o + 5*o.\nAnswer: 3*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(2\/9)*o**(-4)*o\/(o*o*o**5)*o*o*o*o**(3\/4))**(26\/3))**(-2\/183) assuming o is positive.\nAnswer: o**(2353\/4941)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 + 16*x + 15. Let v be b(-15). Let a = 2 - 2.1. What is the closest to 0 in v, a, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 13*v - 17. Let d be m(12). Let n = d - 0. Are -1\/4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*(0 + sqrt(11)))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/892 and -13\/8.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 19841 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010000000 + -11?\nAnswer: 1001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2. Let y(i) = -4*i**2 + 6*i - 7. Let u = -1 + 2. Let r(k) = u*y(k) + 5*l(k). What is the remainder when 79 is divided by r(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 7) + 9 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -1, -0.0612?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (16 - -36) + 11 - (41 + -36)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 728 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 12:56 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -546*t**6 - 813*t**2 + 20*t**6 - 203*t**3 + 114*t**3 + 89*t**3 wrt t.\nAnswer: -63120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of 3*t**4\/4 + 2*t**3\/3 - 2*t**2 + 984. Let p(h) = 14*h**3 + 11*h**2 - 21*h - 1. Calculate 11*j(k) - 2*p(k).\nAnswer: 5*k**3 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1909000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*f - 216 = 165*f - 68*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -609*-5\nAnswer: 3045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**4 - 75*f**3 + 426*f**2 - 708*f + 360 = 0.\nAnswer: -30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/10*(-75)\/135.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 406 and 488070.\nAnswer: 3416490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/3, 20, -6\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (89*p - 45*p - 13*p + (-3 - 1 + 5)*(-4 + 4 - 2*p))*(-p + 2 - 2)*(0 + 0 + p).\nAnswer: -29*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 11658 = -2948. Let w = -34941\/8 + d. What is the common denominator of 121\/6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17009 and 11169?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)*-1)\/sqrt(7)*4)**2 + -6*(sqrt(272) + -1)**2.\nAnswer: -1366 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 144589966?\nAnswer: -578359864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -28*i**3 - 3*i**2 + 2*i - 3. Let o be d(3). Round o to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*c**2*f**2*g**2 + 28935*c**2*g**3 + 2*c*f**2*g - c*g**3 - 116*f**2*g**2 + f*g**2 - 2 wrt c.\nAnswer: -6*f**2*g**2 + 57870*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*b**3 - 18*b**3 + 18*b**3 - 18*b**3.\nAnswer: -49*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 805 a factor of 13216377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 + 0*c**2 + 3*c**2 - 14*c)*(-1 + 1 - 2).\nAnswer: -10*c**2 + 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 plus 545?\nAnswer: 544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z + 2. Let a(u) = 5*u + 11. Let t(l) = 4*a(l) - 22*k(l). Let j(f) = 7*f. Give j(t(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1572926982 to the power of 1\/2, to the nearest integer?\nAnswer: 39660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3745\/56 + 1\/8. Suppose 58*h - i*h + 45 = 0. Solve -15 = h*y + 3*l, -3*l + 15 = -5*y - 2*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/4, -0.06, 4, -34, 2, 49 in descending order.\nAnswer: 49, 4, 2, -0.06, -3\/4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*t**2 + 140*t**2 - 2976*t - 75*t**2.\nAnswer: -2*t**2 - 2976*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 137781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqlllqqqqq. What is prob of picking 4 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53352750?\nAnswer: 2, 3, 5, 11, 29, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4638 a factor of 740065287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) -241  (c) -3  (d) -1\/6  (e) -0.148  (f) 0.9  (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 14  (b) -4  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 0*i + i**2 + 4 + i**3 - 2*i - 5. Let c be t(-1). Is c smaller than -2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -737 - -738. Let m = -3259972\/183 - -17814. Let o = m - -2998\/1281. Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11692 is divided by 3751?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**3 + 31*x**2 + 72*x + 408. List the prime factors of m(27).\nAnswer: 3, 11, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48278000 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - -4. Let s = t - 16. Let p(m) = -m**3 - 8*m**2 - 7*m + 5. What are the prime factors of p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/21 and 117\/13916.\nAnswer: 41748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 + (-1 - -2) - 0. Suppose 170*i - 8 = 166*i. Suppose 4*n - 4 = i*u + d, 0 = -5*n + 5*u. What is the highest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-2)*100\/6. Let t = 40 - x. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6767 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89409 is divided by 556.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84086?\nAnswer: 2, 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45 + 45. Suppose p = 4*t + 5*o - 1545, -2*o - o = 4*t - 1543. Calculate the greatest common divisor of 35 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -2*m**5\/13 - 10*m**4\/13 - 10*m**3\/13 + 10*m**2\/13 + 12*m\/13 = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7.4, -0.2311, -0.314?\nAnswer: -0.2311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22.7 + -20. Let o = 2.96814 - 0.06514. Let k = o - p. Round k to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 28*s**4 - 761916*s**3 + 979568*s**2 - 217680*s = 0?\nAnswer: 0, 2\/7, 1, 27210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3303700 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**6\/80 + f**5\/30 + f**4\/48 - 50*f**2. What is n in i(n) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from eeeeeeeeeeeneeenee.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*b**3 - 69*b**3 + 18*b**3 + (b**2 + 5*b - 5*b)*(-2*b - 2 + 2) as f*b**2 + o*b**3 + y + s*b and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 11*q**2 + 6*q + 72. Let s be u(-11). Solve -3*c + 0*c - 10 = 5*h, -2*c - s = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z + 1. Let a(d) = 2*d + 2. Let i(s) = 3*a(s) - 7*y(s). What is the lowest common multiple of 14 and i(-11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6060*v + 2784*v + 216000 = 2094*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11780*b + 11752*b + 464940 = 0. What are the prime factors of b?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2556 by 6.\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 3*s - 4. Let x be a(3). Suppose 2*z - 6 = 5*l, 3*l - 6*z = -z + 4. Let v = l + x. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -218 - -246. Calculate the greatest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3961593103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13531534.\nAnswer: 2, 19, 356093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 5*x + 5*x)*(1 - 1 + x**2) - x**3 - 2*x**2 + 4*x**2 - 3*x**2 + 2*x.\nAnswer: 2*x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8357, 30215, 65573, 114431, 176789, 252647, 342005?\n\"Answer: 6750*l**2 + 1608*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -21, -56, -125, -240, -413?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2280\/34379 - -2\/1109. Let d be (21\/(-14))\/((-1)\/2). Let w = -27.5 + 27. What is the third biggest value in w, h, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Calculate the remainder when 13488 is divided by 287.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000138 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.96 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 328\/(-82)*(559\/468)\/43?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-55)\/(891\/(-18) + 57)\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 76.32849 decades?\nAnswer: 0.7632849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -1440*b**2 - 4 + 720*b**2 + 717*b**2 in the form m*b + w + r*b**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -310 - -309.28. Let h = -0.82 - o. What is the closest to h in -0.5, -9, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8385476?\nAnswer: 2, 11, 190579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 15) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*r - 53*r - 5 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2538158, -2538147, -2538136, -2538125, -2538114, -2538103?\n\"Answer: 11*i - 2538169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.2678 + -0.1422. Round f to 2 decimal places.\nAnswer: -3.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 35*o + 463. Let r be p(-13). Suppose -20\/3*s**3 + 16\/3*s - 4\/3*s**4 - r*s**2 + 32\/3 = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.1  (b) 1  (c) 0.131  (d) 8  (e) 2\/13  (f) 1\/5  (g) -98\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 37dcc4 (base 14) in base 7?\nAnswer: 22216234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 12:01 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 31*n - 30*n - 13, -4*r = -12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2. Let c(p) = -4705*p**2 - 273 - 276 + 809 - 260. What is o(c(h))?\nAnswer: 44274050*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from errreejedeeerrrer. Give prob of picking 1 j and 2 e.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 197 - 196. Let j be -3 + (-2 - (3 - -6)). Let n be (0 - 1)\/((-2)\/j). Which is the closest to n?  (a) l  (b) 1\/7  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 654212 and 1196?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = 2*m, -25*q + 68*q = -38*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/135943 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 303*r**3 + 425*r**2 + 612*r**3 + 352*r - 248*r**3 = 0. What is r?\nAnswer: -6, -1, 2\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.6, -4, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 2\/10 - -1. Suppose w + 12 = -w + 2*b, 3 = b. Let s be 2\/3 - 1\/w. Is s equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-27) + (-49629)\/28755.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16435*g + 6032*g - 3155*g - 8398*g as t*g + n and give t.\nAnswer: -21956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2314 - -2318. Let z be -2 + (-7)\/(-1) + -2. Let d(h) = h**3 - 5*h**2 - 6*h + 3. Let c be d(6). Solve -k + b + y = z, 0 = k + c*b - 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 0 - 745638*k**2 - 248630*k**2.\nAnswer: -994268*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 8*k**2 - 19*k - 38. Let f be h(-3). What is the highest common divisor of f and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 1 = 3*i, 5*z = -0*z - 20. Suppose 0*h - 1 = k + 5*h, 23 = 5*k - i*h. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f**2 - 7*f**2 - 8*f**2 - 4*f**2 - 94*f**2 + 113*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 51*h. Let r(s) = -3*s - 92. Calculate r(t(p)).\nAnswer: -153*p - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2948*i**4 - 1360*i**4 - 514 + 232*i + 319*i + 514 wrt i.\nAnswer: -51696*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 10*u**2 + 7202*u - 5801. Give h(-721).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 69478.77 litres in millilitres?\nAnswer: 69478770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1778*j**2 + 0 + 14 + 6 - 20 as t*j**2 + n + b*j and give t.\nAnswer: 1778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -11. Suppose -3*x + s = -0*x. Let d(l) = -3*l + x*l - 2*l. Let a(o) = o. What is a(d(f))?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of 0*t**2 + 1\/12*t**4 + 0 + 1\/6*t**3 + 122*t. Let v(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 0 + 11)*(-2*a + 0*a + 4*a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 194 + -193. Suppose 4*q - 30 = -3*g, -5*q + 5*g - 15 = -35. Let s be (6\/(-27))\/((-8)\/q). Which is the nearest to h?  (a) -0.2  (b) s  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -48  (b) 76  (c) -0.1  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1021159689?\nAnswer: 3, 11, 17, 1820249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/24)\/(-6 - (-490)\/80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -5*v - 7. Let s(j) = -419*j**2 - 1. Give s(b(c)).\nAnswer: -10475*c**2 - 29330*c - 20532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97715, 191024, 284333, 377642, 470951, 564260?\nAnswer: 657569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000071055 rounded to six dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 366 is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*b - 9*b**2 + 10*b)*(-6*b - 9*b - b - 13*b).\nAnswer: 261*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put together -46.789537 and -4414.\nAnswer: -4460.789537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c**3 - 1 - 5*c**3 - 9*c**3. Let a be y(-1). Is 6 a factor of (-23)\/(-2) - (-5)\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*h**5 + 26*h**4 - 212*h**3 - 27*h**2 - 743456 wrt h?\nAnswer: -600*h**2 + 624*h - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m + 0*m - m**2 + (-2 - 7*m + m + 0)*(m - 4*m + 5*m).\nAnswer: -13*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4.32, -1\/3, -2\/7 in ascending order.\nAnswer: -1\/3, -2\/7, 3, 4.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -b43664 - -112?\nAnswer: -b43552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 2*j + 2*j. Suppose j = -g + 159. Let w = -102 + g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7999, 8026, 8057, 8092, 8131, 8174, 8221?\nAnswer: 8272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 672 and 185626784.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34 + -9 + (21 - 49) - (-2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o**2 + o - o)*(165 - 324*o + 46 + 320*o) to c*o + x*o**2 + r*o**3 + z and give x.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + q - 40 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 359011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.047 or -16275423?\nAnswer: -16275423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*h, -5*g = -2*g - 4*h. Suppose 23*f - 20*f - 12 = g. Suppose -f*y = w - 782, 0*w - 1576 = -2*w - 4*y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -5*u**3 - 2*u**2 - 7. Let t be f(0). Which is the nearest to 0?  (a) 0.1  (b) t  (c) -0.3  (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a**2 + 88. What is the smallest common multiple of 27 and i(-11)?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/44 + 372\/(-11). Let z = 9 - o. Let w(g) = -g + 3. Calculate the remainder when z is divided by w(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1718860 by -33055.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11618, 23354, 35340, 47702, 60566, 74058?\n\"Answer: 21*s**3 - s**2 + 11592*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*n + 2*p, 9*n - 7*n + 4*p + 10 = 0. Is n bigger than 2\/915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(168)*2)\/(sqrt(189)\/sqrt(3)))\/((sqrt(144) + sqrt(144) + -2*sqrt(144) + sqrt(144) + sqrt(144))\/sqrt(12) + (sqrt(144)*-1)\/sqrt(12)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 18 = -k, -4*k + 6*k - 5*v - 48 = 0. Suppose 0 = k*w - 106 - 1896. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1872)\/(-65))\/((-7)\/(-35)). Calculate the greatest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 767 + -766. What is the third biggest value in -2\/17, -1, -1\/2, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u + 4*t + 19 = 0, u + 63*t - 7 = 65*t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -249*g = -263*g - 9 + 51. Let p(h) be the second derivative of 0*h**2 + 1\/6*h**4 + 0*h**g + 9*h + 0. Let w(y) = -2*y**2. Give w(p(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 7*d - 6. Let q be j(-4). What is the units digit of (-6)\/(-33) - q\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11100000 - -10?\nAnswer: 11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.2, 0.2, 2, 5, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320) - ((sqrt(320) + 3)*2)**2.\nAnswer: -1316 - 184*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(70)*-3)\/(sqrt(250)*-5))**2.\nAnswer: 2268\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 26\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4*w + 3 = -5*r, -6 = -3*r + 2*w. Suppose r*v + 10 = v. Solve 8*g - v*g - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22201010001010 (base 3) to base 10\nAnswer: 4627722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2037 rounded to 2 dps?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 11:18 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6090 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -61 - -37. Let v be p + 23 + 1 + 0 + 79. Suppose -2*g + 100 = -4*t, 115 = 4*g - 5*t - v. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265866.\nAnswer: 2, 3, 73, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*i + 3*s - 10, -3*i - 3*s + 18 = 0. Solve 0*k + i*h - 21 = k, 5*h + 5 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266*2\/228 + 1 + (-56)\/33.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 11 - 4*o**3 + 3*o**2 + 6*o + 9 - 15 + o**3. Is i(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116739004?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -4*x**3 + 1282*x**2 + 1950*x - 5796 = 0.\nAnswer: -3, 3\/2, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -23829300 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of -o**4\/12 + 11*o**3\/6 - 15*o**2\/2 - 18*o. Let i be g(10). Put 1, i, 2, -3 in ascending order.\nAnswer: i, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (64\/(-24) - -4)*1\/14. Let d(h) be the first derivative of 3 - i*h**3 + 0*h**2 + 3\/14*h**4 - 6\/35*h**5 + 1\/21*h**6 + 0*h. Factor d(w).\nAnswer: 2*w**2*(w - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from asjaxaxxsjjsa?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -2  (b) 0.5  (c) 0.03  (d) -4  (e) -0.13  (f) -13227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 6*n + 3*z - 2090, 6214 = 3*n - 5*z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.929 + -685.071. Let g = 686.04935 + o. Let z = g - 0.05. Round z to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2. Let x be z(2). Suppose -x*m = -5 - 19. Suppose -m*u + 3*c + 90 = -u, 2*u - 2*c - 32 = 0. Calculate the greatest common factor of 84 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k**4 + 33935*k**2 + 25451*k?\nAnswer: 12*k**2 + 67870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 2 = t - 18, -4*t + 128 = -4*q. Suppose -26 = -9*z + t. Let -3 - 18*s**3 - 3*s**4 - 601*s**2 - 30*s - z + 565*s**2 = 0. Calculate s.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1389\/13 or -106?\nAnswer: -1389\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29061105.\nAnswer: 3, 5, 31, 62497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 2*l**2 - 5*l + 7. Let s = 112 - 110. Let t be g(s). Solve 2*z = -0*d - 3*d, -5 = -t*z - 5*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i - 6. Let c = -43 + 48. Let k be n(c). What is the highest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1 and 117057695?\nAnswer: 117057695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 8*b**2 - 7*b - 14. Let x be h(9). What is the closest to -1 in x, 3\/2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -2*z**3\/15 + 8*z\/5 + 13. Find o, given that p(o) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1159017796587 minus -2?\nAnswer: 1159017796589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*m**3 - 8 + 11*m**2 + 15 - 7 wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fbffqgqqqfg. What is prob of sequence qqgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 428 + 417 = -521*t + 324. Which is the nearest to 2.5?  (a) 4  (b) t  (c) -2  (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 230.6 and 2?\nAnswer: 228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (30 - 4624\/153)\/((-2)\/(-36)). Sort y, 14, -3, -126.\nAnswer: -126, y, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 47002\/(-6603) + (-1 - -9). Let m = d + -17\/31. Suppose -m*b**2 + 1\/2*b**3 + 0*b + 0 = 0. Calculate b.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26 and 8983.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17 - 12719?\nAnswer: -12736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 342.66355 to 0 dps.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 15, 0, -421780.\nAnswer: -421780, -4, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 - -b?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6339342 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1260685 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 3, -6.3, -0.3, -0.1 in decreasing order.\nAnswer: 3, -0.1, -0.3, -3\/5, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 793*3\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y + 3. Determine b(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0025068 to 5 dps.\nAnswer: -0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 12:47 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-8 - -22) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 792\/(-12)*(1\/(-2))\/(63\/42)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.126516ug to grams.\nAnswer: 0.000000126516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of -9\/5*r**3 + 9\/10*r**2 - 1\/5*r + 27\/20*r**4 - 4. Factor s(f).\nAnswer: (3*f - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 364  (b) 13\/10  (c) -4  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14200 from 0.088.\nAnswer: -14199.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-4)*-10*64\/80. Suppose h*n - 512 = -6*n. Suppose 30 = 2*p - n. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 1. Suppose -d = -5*d. Suppose 0 = 5*z - n - 4, 8 = 4*z - 5*z - 2*n. Solve -g - a + 5*a - 8 = d, -l*a + 3 = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3*c = 60. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 131 - 55. Let z = j - 46. Suppose -2*t - 2*c + 9 + 11 = 0, 5*c + z = 5*t. What is the remainder when 13 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -3, q - 48 = 3*t + 2*t. Let j = t + 14. What is the third biggest value in -1, j, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.144177 rounded to 3 decimal places?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -794509.469 to the nearest 1000.\nAnswer: -795000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.1, 3\/7, -11, 59, 4 in ascending order.\nAnswer: -11, -2.1, 3\/7, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35725692 is divided by 87.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 19665*f**4 + 275320*f**3 - 609475*f**2 + 314330*f + 160 = 0. What is f?\nAnswer: -16, -2\/3933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4703\/4 + 2732435\/2324. Let l = 36 - 36. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from qzdqzrrrrrrz.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-2)\/8 + (-42)\/24.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 13 + -3 + -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2366)\/(-208)*238\/(-1547).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-159)\/(-371) + ((-116)\/70)\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -5*s - 4, i = 4*s + 16. Suppose r = -i*r. Solve -3*b - 17 = -b + 5*z, 2*b - 4*z - 28 = r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -91*h. Let c(s) = 2*s**2 + 15*s - 2249. What is y(c(w))?\nAnswer: -182*w**2 - 1365*w + 204659","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1277635 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 1, 12, -3, 2 in descending order.\nAnswer: 12, 2, 1, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4999 by 26.\nAnswer: 4999\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lllclscsexfcsllles. Give prob of picking 2 e.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/6  (b) -0.31  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -2*n**3 + 26*n**2 - 78*n - 6. Let c be 0\/(3 + -2) - -4. What is the least common multiple of l(6) and 107\/4 - (-1)\/c?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*z = 55*z + 92. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -11*i**3\/3 + i**2\/2 + 2*i. Let s be z(-2). Suppose -25 = -u - 5*b + 2*b, 5*b - s = -2*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10440)\/(-108)*(-15)\/(-125)*5\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.3 - -0.2. Let s = v + 1.1. Let b = -385 + 384.9. What is the closest to s in 0.4, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1413903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3 + -5 + 1 + (-1*sqrt(63))\/sqrt(9).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -5, -4.\nAnswer: -27, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3065 - -3068. Sort 9, 0, d, -6.\nAnswer: -6, 0, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 46678074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 0.022.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -225 + 240. Suppose w*d - 4*d = 41899. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 749*p - 4466. Give i(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/10 + (-268)\/60 + 5\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -908803.05 to the nearest one hundred.\nAnswer: -908800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7322 - 44*i - 24*i + 6996 - 2*i**2 - 14768 = 0. What is i?\nAnswer: -25, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b24556 (base 12) in base 15?\nAnswer: 3a089c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-152)\/(-1235))\/(72\/270)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2461?\nAnswer: 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 18618 divided by 642\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, 12, 17, 22, 27, 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 40 + 25 = 0. Let u be 440\/(-120) - (-4)\/b. Put u, -2, 20 in descending order.\nAnswer: 20, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 3*y + 7, 628 - 630 = -3*y + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4518990919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 48800849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -132639474*u**3 - 124968335.\nAnswer: -397918422*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - d - 14 = l, d = 4*l - 24. Solve -5*i = q + 2, -l*i - 9 = -4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32317 or 32351?\nAnswer: 32317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a - 29. Let p be j(0). Let t = p + 61. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.9665344 micrograms?\nAnswer: 0.0000000000009665344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 5*h + 3*b, -3 = -4*h + b - 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3baf - 2?\nAnswer: 3bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 51026.3l in millilitres?\nAnswer: 51026300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5 - 7)*(0 + -2). Suppose a - q*u = 6*a - 193, 0 = 3*a + 3*u - 117. Calculate the remainder when a is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 2:24 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 - k**2 - 2*k - 28. Let m be p(0). Let s = 30 + m. Find the common denominator of 1\/(-6)*s - (-26)\/48 and 71\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(176))\/(sqrt(4) + (sqrt(16)*1)\/sqrt(4)) - ((5 + sqrt(11))*-3 - (sqrt(11) - (sqrt(99) + -3)**2)).\nAnswer: -93 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 976*c - 4536 - 904 = 33*c + 20964 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 + -3 - 3) + 5 + -13.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**3 - 260*m**2 - 317*m - 7553. What is p(-129)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.078 - -0.0841. What is w rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-354)\/(-118))\/((-9)\/73)*3\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61766?\nAnswer: 2, 89, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**17)**(29\/5))**(-10) assuming s is positive.\nAnswer: s**(-986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 796942 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -113210 (base 4) to base 12\nAnswer: -a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3 + ((-1*(sqrt(49) - (sqrt(49) - sqrt(196)\/sqrt(4))))\/(3*sqrt(14)\/sqrt(2) - sqrt(7))*6)**2)*2.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, 17, 37, 57?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-2\/17))\/y**(-13))\/(y**4)**(-34) assuming y is positive.\nAnswer: y**(2548\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3447739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 4.39 times -2.13461\nAnswer: -9.3709379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 376*(0 - (-15 - (-1003)\/68))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*k + 25 = 0, -2*a = -0*k - k - 10. Suppose 12 = a*v - 2*v. Suppose 0 = 3*i - b - 97, 5*b = v*b + 5. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5 = -2*k. Suppose -12 = -0*c + 6*c. Sort 3, c, k.\nAnswer: k, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - 2 - (23 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133834 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 6:35 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -295*y - 251*y - 302*y - 1 + 780*y as w*y + t and give w.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 56\/3*(-18)\/(-8). Let c = w - 37. Suppose -3*z + 2*z = -c*u - 53, 5*z - u - 313 = 0. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2500*d + 117475. Give x(47).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 784\/(-490) - 10796\/(-6710). Is x smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.16  (b) 2\/7  (c) -1\/614  (d) 0.3  (e) 0.5  (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 510929 is divided by 101?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of -35\/2*i**2 + 20 - 56*i - 1\/3*i**3. List the prime factors of h(-23).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 + -18.459995.\nAnswer: -30.459995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1842 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18641682 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 606, -93\/11, -5 in decreasing order.\nAnswer: 606, -5, -93\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)*1*-1*4*-1)\/(sqrt(175)*-2 + sqrt(35)\/(-2*sqrt(5)) + sqrt(7)) + 2.\nAnswer: -8*sqrt(13)\/19 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 3*m + 1. Let h(b) be the first derivative of b**2\/2 - b - 35. Determine -2*h(i) - q(i).\nAnswer: -i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 + 0.3. Let p be (-12)\/(-18) + (-4)\/(-6). What is the nearest to 0.1 in 1\/4, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 - 2860*f.\nAnswer: 2*f*(f - 1430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.7 + -3.2. Let k = f - -1.9. Let m = -0.02 - 4.98. What is the nearest to 1 in k, m, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95749259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13520219 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17642*r**3 - 113*r**2 - 175263361*r.\nAnswer: -105852*r - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -1. Let f = 2 + o. Let v = 0.3193 - 3.3193. What is the closest to -0.2 in 1\/3, f, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 1877342340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 1040*l**2 + 3463*l**3 + 40*l**4 - 770 - 2651*l**3 - 310*l**2 - 811*l - l**5 = 0?\nAnswer: -14, -1, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 + 0)*(-3*l**2 + 0*l**2 + 5*l**2) - 4 + 4 - l**2 + (-61*l**2 + 22*l**2 + 31*l**2)*(2 - 2 + 2) to y*l**2 + i*l + a and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 5 - 2)*(g - 3*g + g - g - 4 + 4 + (3*g - 7*g + g)*(5 - 3 + 0)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.8 - -1.7. Let i = -1.1 + 4. Let z = m - i. Which is the closest to 2\/5?  (a) 0.5  (b) z  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13248 + 16515. Does 33 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(-1*sqrt(77) + sqrt(77)) - sqrt(77)) + sqrt(77) + (sqrt(77) - sqrt(77)*1*-5))\/((-3*2*sqrt(11) - sqrt(11))*-2).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.09  (b) 0.0693  (c) -2\/5  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 5*b - 6. Let s be h(-6). Let y(q) = -3*q**3 + q**2 - 2. Let w be y(-1). What is the nearest to -1 in w, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 9, m: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -f - 12. Let u(j) = 15*j + 63. Let b be u(-4). Suppose -s = 2*l - b, 1 = -f*l + l + 4*s. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.2 + -0.8. Let z = -0.2 + 1.2. Let j = z - n. Which is the third biggest value?  (a) 0.3  (b) -0.1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*x**4 + 4*x**3 - 4*x**3 + (-3*x**2 - 1 + 1)*(7568 - 13503*x**2 + 2038*x**2 - 7568).\nAnswer: 34397*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8 and -8\/215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 202\/145507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 3) + (4 - 3). Suppose -2*k + 5*s + 594 = y, 0*s - 1248 = -4*k - 5*s. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -468*i + 2274. Does 6 divide a(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 12:10 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 23*r**2 - 104*r + 1531. Calculate the remainder when u(15) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -20*x**4 - 21*x**2 - 3*x. Let a(r) be the second derivative of -r**3\/6 + 11*r. Let s(f) = 6*a(f) - 2*d(f). Find the third derivative of s(q) wrt q.\nAnswer: 960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.15298 rounded to three dps?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*m**3\/9 - 8742*m**2 - 385296*m - 53592 = 0.\nAnswer: -42, -6\/43, 957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 - 53*c**2 + 323*c - 214. Calculate m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -32132, -8 in decreasing order.\nAnswer: -8, -37, -32132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**(-6\/11)*y))\/y)**(-38) assuming y is positive.\nAnswer: y**(190\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 185*a - 184*a - 2.\nAnswer: a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.025 - 0.025. Put m, 1\/6, 2\/9, -1\/11 in ascending order.\nAnswer: -1\/11, 1\/6, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17710 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 4*m**2 + m - 4. Let z be f(-3). Differentiate 0*v**2 + z*v**2 - v + v - 4 wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 84 = 4*h, 8*h + 16 = -0*h. Let b be 5\/(-4) - (-2)\/8. Let v = b - -6. Solve -v*o = 20, -2*o - 3*o = -z + c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z + 1. Let f(k) = 26*k - 52. Let q(b) = f(b) + n(b). Find the first derivative of q(a) wrt a.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.5 + -2.3. Let i = 2.586 + -0.586. Which is the nearest to v?  (a) -13  (b) 4  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence su when two letters picked without replacement from sssu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43299 + -26012. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 211.9736 * 0.53\nAnswer: 112.346008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/33575 less than or equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2230 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 729.5 + -739.5. Which is the closest to -4\/3?  (a) -0.4  (b) 0.5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*p + 748 = 2*f, 0 = -f + 4*p + 368. Suppose 4*v - 20 = 0, -25*b + 30*b - 11*v + 1060 = 0. Let k = f + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -2 - (-6 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 71.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*k + 58*k - 36*k.\nAnswer: 110*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -17, -58, -125, -218, -337, -482?\n\"Answer: -13*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 485157 - -0.5?\nAnswer: 485157.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-248*w**2 - 819*w**2 - 235*w**2 - w)*(4*w - 7 + 7) to i*w + c*w**3 + m + o*w**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -168565012*v**3 + 371461792 wrt v.\nAnswer: -505695036*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/15?  (a) 83.9  (b) -1  (c) 2\/7  (d) -5  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 208 = -73. What is the tens digit of (-2 + b\/(-6))\/(6\/360)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/7 + 704\/112 - -84635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 71*q - 74*q - 3*s - 18, -9*q - s = 62 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37140*d**2*h**3 + 4070255*d**2*h**2 - 5*d**2 - 1528*d*h**3 wrt h?\nAnswer: 222840*d**2 - 9168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*g + 21, 2*g - 3 - 8 = -5*t. What is the lowest common multiple of 2\/4*28\/2 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.31, 0.19, 19, -2, 0.4 in increasing order.\nAnswer: -2, 0.19, 0.31, 0.4, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 21*o - 140. Let f be j(14). Let p(v) = 9*v**2 + f + v - v - 154. Let h(s) = -s - 2. Calculate h(p(u)).\nAnswer: -9*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2, -4, -10, -16, -22?\n\"Answer: -6*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 175\/2 + -87. Let j = -127.1 - -126.4. Let x be (-8)\/(-18)*9\/6. Which is the nearest to k?  (a) j  (b) 0  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3051, 6064, 9071, 12072?\n\"Answer: -3*g**2 + 3022*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 8:38 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 0.2, 4, 759, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of 0 + 0*y**2 - 1\/2*y**3 + y. Let t(j) = -2*j**2. Give t(s(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20.89 + 21. Let l = 3.31 - t. Let k = l + -3.20061. What is k rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f**2\/8 + 25695*f\/8 - 129075 = 0. Calculate f.\nAnswer: -8605, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8326808 (base 10) to base 13\nAnswer: -1957109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 16488, 65942, 148364, 263754, 412112, 593438, 807732?\n\"Answer: 16484*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 44*u - 27*u - 23*u - 11*u**2 in the form n*u**2 + k*u + a and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/121 + 96\/(-528) - 3\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**3 + 0*z**3 - 2*z**3)*(2*z + 0*z - 5*z)*(-3*z + 0*z + 5*z).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -1182*l - 68. Let b(u) = -33*u. What is a(b(o))?\nAnswer: 39006*o - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 13*u - 28. Calculate the remainder when 68 is divided by v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*a + 244 + 128 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -159*r + 4782 - 844 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 31*m - 47. Let c(j) = -90*j + 129. Let y(r) = -17*b(r) - 6*c(r). Give y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.2, -5\/4, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 56, 42, 26, 8?\n\"Answer: -o**2 - 11*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 361 = 4*l, 3*l + 62 + 67 = c. Let u = 210 - c. Do u and 87 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of -1\/6*s**3 - 17*s + 0 - 3\/2*s**2. Let d be (-2)\/5 + (-56)\/10. Calculate j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000019398 rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -3, 0.5, 5\/3, 5982 in descending order.\nAnswer: 5982, 4, 3, 5\/3, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10502524 to the nearest integer?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -16.22?\nAnswer: 20.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1454220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -40.797  (c) -0.24  (d) -13  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1)\/(a*a**(-1\/5))*(a**1)**22*(a**(-6)\/a*a\/((a\/((a*a\/(a**(2\/3)\/a*a))\/a*a*a))\/a))\/(a*a**(-1\/2))**50 assuming a is positive.\nAnswer: a**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3160 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, a: 2, k: 1, g: 5, z: 6}. What is prob of picking 3 z and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 259 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -62*f**2 + 5*f + 7. Let p(s) = 63*s**2 - 4*s - 6. Let c(j) = 6*a(j) + 7*p(j). Is c(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 11:03 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m + 89 + 295. Let y be (29\/(-3))\/((-2)\/18). Let k = m + y. Calculate the remainder when k is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 89*x**2 + 136*x + 3079. What is the units digit of f(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 5*m = -9, 2*r + 5*m + 25 = -3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*o - 4*l, 5*o - 3*l = -2*l + 15. Let p(s) be the second derivative of -3*s + 0 + 1\/6*s**3 + 0*s**o. Let w(r) = -2*r. Give p(w(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7\/2 + (-2)\/4. Let m = -46 + 50. Suppose -y - m = -j, 2*j - 8 - 3 = -y. Sort 0, y, h.\nAnswer: 0, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 (base 9) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1275 and 30447?\nAnswer: 761175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 42.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3389103 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 770490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvttvv. Give prob of sequence vvtv.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1878225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2109 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + -5.83. Let t = g - -5.8055. What is t rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12 - 132\/60*-5. Solve 0 = -18*w - 31 - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-21)\/(-6))\/(-7)*-22. Let f(l) = 11*l + 4*l - h*l. Let x(q) be the first derivative of q**2\/2 - 1. What is x(f(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(7) + (sqrt(56)\/(sqrt(8)*-1))**2 - sqrt(7)) + (sqrt(28)\/(sqrt(4)*1))**2 + (sqrt(28)\/sqrt(4)*-6 - sqrt(7) - (-2 + sqrt(7))*-3).\nAnswer: -4*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 65, 59, 53, 47, 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 368 - 144 = -112 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/6582 and -88\/1035.\nAnswer: 2270790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/8 and (-145)\/(-260) - 0*(3 + -2).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 + (-13 + 7 - -13). What is the nearest to 0.2 in -1\/3, h, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 - -32. Is s bigger than -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 2*z - 2, 0 = 4*o - 3*o + 3*z + 10. Sort -4, o, -44.\nAnswer: -44, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -291 + 246. Put -1, t, -3 in descending order.\nAnswer: -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2057, 4086, 6081, 8042, 9969, 11862?\n\"Answer: -17*z**2 + 2080*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b + 3. Let v(p) = 1. Let m(i) = -k(i) + 2*v(i). Let l be m(-1). Is l < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10131*t + 290966 + 155256 = 5524 + 55720 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -504542000 (base 6) in base 9?\nAnswer: -17212030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 330 and 9966?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -1106534.\nAnswer: -1106534.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p + 2*p + p)*(1 - 1 + 7*p**2) + (-2*p**2 + p**2 + 2*p**2)*(116*p + 37*p - 75*p).\nAnswer: 106*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 31210032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*3\/2*(-6)\/36.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 213527762 a multiple of 3426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22\/15, 0, -0.1, 1, -124 in increasing order.\nAnswer: -124, -0.1, 0, 1, 22\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1165764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*o = o + 46, 3*w = 3*o + 30. Let q(r) = w*r**2 + 2 + 4 - 4 - 1. Calculate the remainder when 17 is divided by q(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 60*l - 39*l + 42 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*y - 69 = -5*p, 5*p + y + 17 = 10 + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 40 + (-16 - (-50 + 13)) - -31\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1058 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g**2 + 40*g - 66. Suppose -12*u + 2563 - 2419 = 0. Determine z(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28*h**4 - 209 + 209)*(h - 4*h + 4*h).\nAnswer: 28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3327535401.\nAnswer: 3, 157, 7064831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wbwbkwbwbwt. Give prob of sequence wwkw.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.0001, 0.1, -1\/9, -2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 - ((1 - -2) + (-10 - -3)) - -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1917 = 23*g - 14*g. Let x = -190 + g. Calculate the remainder when 137 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33034 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pggggkwpwgggg. Give prob of picking 1 w and 1 g.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 12:10 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 7) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 0.2, 0.01, -1, -3\/11660?\nAnswer: -3\/11660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-124 + 230 - 125)*(-2 + 2 - 1)*(-266 - 14*x + 266 + x + 2 - 2 + (-2*x + x + 2*x)*(-4 + 0 + 6) + x - 2*x + 2*x).\nAnswer: -190*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - -13)*12\/15. Let p = 12 - b. What is the smallest value in p, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62\/3*b - 961\/3 - 1\/3*b**2 = 0. Calculate b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*g + 90*g**2 + 84*g - 91*g**2 as h + c*g + j*g**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -864 divided by -72?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(270)\/sqrt(5))\/sqrt(6))\/(sqrt(300) + sqrt(300) + sqrt(300)*-3) + 2 + -3 + -1*sqrt(108).\nAnswer: -61*sqrt(3)\/10 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 823?  (a) 1.2  (b) 14  (c) -4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -37720 - -4?\nAnswer: -37719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 35419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.56 and -5.\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + o = 6*o + 19, 4*i - 5*o = 22. Solve -c + 2*c = -i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13684945 to the nearest integer?\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 45802\/8 - (13 + (-660)\/48). Suppose -2*s - 5*y + 2860 = -4*y, 0 = 4*s + 5*y - c. What are the prime factors of s?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -z**4\/4 + 2*z**3 + 3*z**2 - 6*z + 12. Calculate the remainder when w(5) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 25*w**4\/24 + 5*w**3\/2 + 9*w**2\/4 + 11*w - 6. Factor l(v).\nAnswer: (5*v + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n**2 - 21*n + 24 = 0. What is n?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.13, -0.8, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33419687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-3) + (-2)\/30*0. Let s = -2 + 1. Do s and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2. Let o be x(2). Let u be 1*-1*(3 - o). Let i = -17.8 + 21.8. Which is the smallest value?  (a) 22\/7  (b) 0.1  (c) i  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, t: 1, h: 1, l: 2, z: 1}. Give prob of sequence pzh.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.036, -1\/12, 25, 3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/1*(-1071)\/34986?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**3 + 19*m**2 + 33*m + 51. Let p be f(-17). Let k(w) = -w**3 - 4*w**2 - 2*w - 4. Let l be k(-4). What is the highest common divisor of l and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25773*a**2 + 23116*a - 23116*a + 25790*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o**2 - 5*o - 104. Let d(g) = -9*g**2 - 6*g - 105. What is -5*d(l) + 6*u(l)?\nAnswer: 3*l**2 - 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 566031 - -16312?\nAnswer: 615343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 1  (b) 0.1  (c) 2\/7  (d) -60  (e) -0.088\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 0 + (6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**4 + 8*m**3 + 4*m**2 - 8*m - 6.\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16975*u - 5668*u - 5689*u - 2*u**2 - 5694*u.\nAnswer: -2*u**2 - 76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12454.\nAnswer: 2, 13, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -331, 399, -4, -14 in ascending order.\nAnswer: -331, -14, -4, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2\/3, 0.03, 2\/5, 0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aay when three letters picked without replacement from yyyaayyayayyyy?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*w**4 + 2829778*w**2 - 10287941*w.\nAnswer: 24*w**2 + 5659556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66 or -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 81526 = -5*z, -138*c = 4*z - 143*c - 65168. Does 114 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v - 11*v + 632 = 0. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - u**2 - 4*u - 8. What is a(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**2 - 11*p - 19. Let n(v) = -2*v**2 - 10*v - 15. Let y(m) = 5*j(m) - 6*n(m). Determine y(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556.16785 days in weeks?\nAnswer: 79.45255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260\/13*(-84)\/(-60) is divided by (-23)\/(-92) + (-39)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -5\/3*j**3 + 0*j**4 - 17 + 0*j + 0*j**2 + j**5. Factor g(p).\nAnswer: 5*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/20 and 9\/112316.\nAnswer: 561580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f = -11*f - 3*c + 514, 3*f - 1490 = 4*c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 48702365871459.\nAnswer: -48702365871458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.16 - -2.84. Put f, -1, -2, -1\/2 in decreasing order.\nAnswer: f, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 3808071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110010100110 + 11110011111?\nAnswer: 11010001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45\/(8820\/(-574))*36 - 4\/7.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o - 8*o + 6042*o**3 - 6044*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 7:00 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -264 + 282. Calculate the least common multiple of 180 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - 100101111000010011?\nAnswer: -100101111000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 508535*a + 508514*a + 508538*a - 2034122*a + 508535*a + 5*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 11.8. Let y = p + -4.2. Which is the second smallest value?  (a) y  (b) -0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the second derivative of -1\/2*d**2 - 1\/12*d**4 + 0*d**3 + 0 - d. Find the first derivative of u(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) - (4 + sqrt(176) - sqrt(11))) + 1*sqrt(1331))**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**2 + 356*s - 34104.\nAnswer: 4*(s - 58)*(s + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/14)*(v*(((v\/(v**(-3\/20)\/v))\/v)\/v)\/v)\/v)\/(v*((v**(-6)\/v*v)\/v)\/v*v)**8)**(2\/3) assuming v is positive.\nAnswer: v**(6611\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 2*h - 2*h = -20, 0 = 3*b + 4*h - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a - 3*a**4 + 2*a**2 + a**2 - a**4 - 2*a**3 - a**2 + 1 to the form m*a**2 + f + w*a**4 + z*a**3 + p*a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/3067910 and -61\/41180.\nAnswer: 6135820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -4*m - 50. Let s be z(-16). Suppose s*q + 16 = 114. Let n be 3 - ((-1)\/4)\/(q\/(-92)). Put 2\/9, -1\/2, n in ascending order.\nAnswer: -1\/2, n, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3417\/13 or 264?\nAnswer: 3417\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 3*f. Let n be l(1). What is the nearest to 0.2 in 0, n, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11192 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -6\/79, -0.4, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 142 + -73. Which is greater: 68 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14349665 is divided by 780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -768964*h + 2600 = -768864*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26161\/55 - -5230\/11. Put -56, 4, -0.5, b, 0.1 in increasing order.\nAnswer: -56, -0.5, b, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = l - 1, 3*j = -4*l - 0 + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 - 1. Suppose 0 = v - 7*v + 18. Suppose 0*k + 21 = n*j - v*k, 0 = 2*j + k - 1. What is the least common multiple of j and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10938\/111191 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17222*f**3*u - 909*f**2*u + 10*f wrt f?\nAnswer: -103332*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -2\/7  (b) 2955  (c) -0.03  (d) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0628727282 to four dps.\nAnswer: -0.0629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*h - 43*h = -1915. Suppose 5*y - 4*s - 143 = 250, h = 5*y + s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -949193450*r*s + 371220*r + 308 wrt s.\nAnswer: -949193450*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45340335743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 + 14408*y\/3 - 272669.\nAnswer: -(y - 14351)*(y - 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 16*o - 70. Let j(t) = -13*t + 56. Let x(p) = 5*j(p) + 4*s(p). Let w(n) = 66*n**2 - n. Determine x(w(u)).\nAnswer: -66*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*y - 285 + 45 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 17*n - 2. Let v(m) = -1292*m + 153. Determine 153*r(g) + 2*v(g).\nAnswer: 17*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107 + -62. Let o be (q\/10)\/((-2)\/4). Let z be o\/(-168) - 3\/7. Put z, 0.2, -0.2 in decreasing order.\nAnswer: 0.2, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 171\/(-162)*(-78)\/(-892). Let v = -2\/223 - z. Find the common denominator of 49\/27 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (5*(1 + sqrt(343)) + -1 + -2)**2.\nAnswer: 140*sqrt(7) + 8584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 3726.67 to the nearest one hundred.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 - 13 = 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1\/4)\/q)\/q**(-1\/3))\/(q\/(q**(5\/4)*q)*q**(2\/15)))\/((q**(1\/6)*q*q\/q**(7\/5)*q)\/((q*q**(-7))\/((q*q**(-7))\/q))) assuming q is positive.\nAnswer: q**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -1713*i**2. Let u(p) = p**2. What is u(v(b))?\nAnswer: 2934369*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 + 26*i + 180.\nAnswer: -2*(i - 18)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 639361256?\nAnswer: 2, 251, 318407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -1\/3*f**6 - 21\/10*f**5 - 7*f + 0*f**2 - 19\/6*f**4 + 0 - f**3. Solve o(q) = 0.\nAnswer: -3, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12543801 (base 9) to base 10.\nAnswer: 6170176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16\/((-16)\/4) - -36. Let v be ((-16)\/c)\/(1\/2). List the prime factors of (-32)\/(-1) + v + 2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*q**2 - q**4 + 14*q**2 + 173*q + 0*q**4 + 501*q + 13*q**2 wrt q?\nAnswer: -12*q**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 710*a + 9943. Let j be i(-14). Put -2, -6, -4, 1, j in increasing order.\nAnswer: -6, -4, -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41 - 8.4\nAnswer: 32.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 52*k**3 + 2*k**2 - k. What are the prime factors of i(1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -3  (b) -0.5  (c) -1\/334  (d) -0.2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = l + 70, 4110*b - 64 = 4109*b - 2*l. Suppose 5*i = -5*m + 20, m + 3*m + 20 = 2*i. What is the least common multiple of ((-20)\/6)\/((-1)\/i) and b?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(720) + 1) - (sqrt(720) - (0 + sqrt(720)))**2*5) + (((sqrt(720) + 2 - sqrt(720))*4)**2 - (sqrt(720) - 2*sqrt(720)*-2)).\nAnswer: -108*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50542612 to the nearest integer?\nAnswer: 7109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 13*z**2 + 28*z - 194. Give i(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*i = -58*i + 10. Calculate the remainder when 12 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12295763?\nAnswer: 2141, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -28*a**5 - 720*a**4 + 5276*a**3 - 11136*a**2 + 8144*a - 1536 = 0.\nAnswer: -32, 2\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 842748 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-101 + 3 + -2)\/((-13)\/(-91871)). What is u rounded to the nearest 10000?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3. Let x(z) = -6*z**2 - 34. Let p(i) = -2*i**2 - 12. Let y(m) = 8*p(m) - 3*x(m). Give 6*t(n) - 3*y(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 18 + 12*c - 4*c)*(-292*c + 282*c + 540*c + 371*c).\nAnswer: 7208*c**2 - 4505*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23 + 26 - 51 - 22*t + 20*t**2 wrt t?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1069*q - 990*q = 1185 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 5) + 5 - (2 + 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q + 4. Let a(i) = -i - 8. Let y be a(-10). Let w = 13 - 8. Suppose -4 = -r - b + 4*b, -w*r = -y*b + 19. Let g(d) = d + 7. Give r*k(h) + 3*g(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/27?  (a) -0.4  (b) -5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102 + -104. Sort 0, 0.1, j, -0.1.\nAnswer: j, -0.1, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*h - 64061 - 55617, 5*h - 3*y = 149603. Suppose -41*l + 9*l = -h. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7110870373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (206 - 86 - 1147)*(2*t + t - 5*t) - 3*t + 0*t + 5*t + (3 - 3 - 1)*(-5*t + 3*t + t) + 2*t - t + 0*t.\nAnswer: 2058*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2322355 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7301.189 litres?\nAnswer: 7301189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -286 - 3?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13330 is divided by 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*g - 4. What is the units digit of -2*(-1)\/g*-13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.6 in 2\/7, 218, 1\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -7*v - 53 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/4*(-20)\/(-10). Let x be (-2)\/(-6) + w\/(-3)*-1. Is 2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.05, 3\/10, 1.3.\nAnswer: -4, 0.05, 3\/10, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -2*i + 1. Let b be r(-1). Suppose -b*z + 3 = 18, v + 4*z = -18. Is 3 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14450 + 6?\nAnswer: -14441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-12398230)\/25)\/((6\/(-2))\/15). Let w = o + -1456646. What is w rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 2, 6, 15 in decreasing order.\nAnswer: 15, 6, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 974038.7 years to millennia.\nAnswer: 974.0387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1329588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 25305 (base 8) to base 15\nAnswer: 339e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -9*a - 60. Let f(d) = 2*d + 1. Let w(s) = -c(s) - 6*f(s). Let i be w(-27). Let y = -5 - -59. What is the greatest common divisor of i and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 576 = -n + 3*f, 3*f + 763 = 4*n. Let v = n - 100. Let k be (172\/3)\/((-68)\/(-12) - 5). Is v >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005550406 rounded to 6 dps?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 10:23 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -5*a**4\/3 - a**3\/6 + 2*a**2. Let p be u(-1). What is the units digit of 6\/9*p\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27 + -24 - -5)*2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 7 + 4)*(-a + a**2 + a + 4*a + a**2 - 4*a + (a + 2*a - 6*a)*(2 + 4*a - 2) + 24*a - 24*a + 7*a**2) to the form s*a + g*a**2 + y and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.94 - -311.94. Let y = -307 + k. What is the nearest to -17\/5 in 2\/9, 2, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6981, 15145, 23311, 31479, 39649, 47821?\nAnswer: 55995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 8*u + 30483 = 4*r, 4*r = 4*u + 30488. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5*m = -19, 6*u - 7 = 4*u - 5*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1576*n**5 - 72*n**4 + 22*n**3 - 18809*n**2 - 281*n - 2.\nAnswer: 94560*n**2 - 1728*n + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 50261 (base 12) to base 2\nAnswer: 11001011001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of z**3\/3 + z**2\/2 - 109. Let d(o) = 4*o**3 + 3*o**2 + 3*o. Calculate -d(g) + 3*m(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 534492834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h\/h**(-11))))\/h**4*(h**(-1\/4))**(1\/57) assuming h is positive.\nAnswer: h**(1823\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 30541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + 6 + -8 + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -214 + 232. What is the remainder when a is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 0.01, 1, -3, 3, -3\/16 in decreasing order.\nAnswer: 3, 3\/2, 1, 0.01, -3\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 3*g + 179 = 0, -13*g = 2*p - 14*g - 89. Calculate the remainder when p is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 7 + 49 = 0. Calculate the greatest common factor of 70 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551455200 rounded to the nearest one million?\nAnswer: 551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43213 is divided by 10768.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f + 483 + 69 = -61*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 9, 11, 13, 15, 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319102 is divided by 814?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -217404555*b**3 + 2649639*b**2 + 2*b wrt b.\nAnswer: -1304427330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - t = 6 - 39, -5*s + 27 = -t. Let o be (-200)\/(-5) - (-2)\/1. Calculate the highest common factor of s and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2120 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1\/2, -0.4, -12, -46093?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 1, 4, -3 in increasing order.\nAnswer: -4, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-15)*1*-12. What is the remainder when 6 is divided by (-2)\/m*0 + (8 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 9:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 366762, 366861, 366960?\nAnswer: 367059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-2 - (-4706)\/20). Let f = 231 - a. Calculate the common denominator of f and (239\/(-717))\/((-10)\/(-159)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-22))\/(2138\/11759)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 106265082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32)\/(-32)*2*2\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)*1*-5)\/(sqrt(63)\/sqrt(175))*2.\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 17, -7, -157 in descending order.\nAnswer: 17, 5, -7, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.21 + 0.09. Which is the nearest to i?  (a) -4\/7  (b) -4  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o - 11*o + 11 = 0. Suppose -5*v - o + 1 = 0. Let m = v + 8. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3027 divided by -6.\nAnswer: 1009\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 2158 divide 1374228142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62592 = -251*u + 227*u. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**4 - 4*p**4 - 3*p**4)*(5405 + 5329 - 11757).\nAnswer: 4092*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j - 2*j + j)*(-3 + 3 - j) - 17*j + 4 + 2*j**2 - j**2 + 19*j.\nAnswer: 3*j**2 + 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(3*j - 4*j + 2*j) + (31*j - 114*j + 1180*j)*(3 - 8 + 2).\nAnswer: -3289*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {w: 1, x: 1, i: 3, g: 3, v: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**2 - 3*g + 3*g + (0*g + 0*g - 2*g)*(g - 2*g + 0*g))*(331 + 235 + 164).\nAnswer: 2920*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - 2 - (-9 - -6) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**11)**(-33\/4)*k**5\/k**14 assuming k is positive.\nAnswer: k**(-399\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1873, -3564, -5225, -6856, -8457, -10028, -11569?\n\"Answer: 15*o**2 - 1736*o - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 2*a - 4*a)*(280 + 158 - 23).\nAnswer: -3735*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 445 + -412. Sort m, 4, 0.2.\nAnswer: 0.2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (525\/210)\/(75\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.77 times -0.2?\nAnswer: 0.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5443 (base 9) in base 15?\nAnswer: -12c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5892999300 rounded to the nearest one million?\nAnswer: -5893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 386, 0.083, -2\/5, 1, -4, -3, -16?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-786)\/655 + (-8)\/(-15))*(-6)\/4. Solve b = z + 7 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 3*c - 246, -3*q + 232 = -0*c - 4*c. Suppose -q = -8*i + 3*i - z, 3*z = -i + 16. Solve j - i = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0 - (-3 - (-9 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + (-2 - -2 - 0). Let i be -1 - t - 0 - -1. Suppose 3*r - 40 = -i. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -31708?\nAnswer: 31705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Let k be 148\/(-18) - (-14)\/63. Does 8 divide c(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 128688 + 85251. Let a = 213938.91000035 - b. Let j = a + 0.09. Round j to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 3*b - 3*b)*(b**3 + 3*b**3 - 3*b**3) + 2*b**3 - 2*b**4 - 2*b**3 + 3*b**2 + 3*b**4 - 3*b**2.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9910 or 9909?\nAnswer: 9909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 151126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 4*h = -116, 0 = 3*d - 4*d + h + 33. Suppose -d = -2*w - 117. Let p = 60 + w. Solve -4*c = 3*b + 32, -4*b + c = -7*b - p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**3 - 71*h**2 - 38*h + 38. What is the remainder when r(-35) is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27589823575 + -0.8.\nAnswer: -27589823575.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/8  (b) 351  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4043, 7918, 11807, 15710?\nAnswer: 19627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0572 minus -0.92?\nAnswer: 0.9772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 481155979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -2\/13  (c) 103.3  (d) -1\/3  (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -26\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 35344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 314916229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -17. What is the greatest common factor of w and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 19787*w + 5698649. What is o(-288)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 744 and 96804.\nAnswer: 6001848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 0 + 0*f**5 + 0*f**4 - 6*f + 7\/6*f**3 + 1\/30*f**6 + 0*f**2. What is the second derivative of q(w) wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 5dd49a?\nAnswer: 5dd497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2430447 is divided by 186955?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/220 and -40\/7.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(7344) - -1*1*sqrt(7344)) + sqrt(7344))*6)\/(-1*(sqrt(192) - -2*sqrt(192))*-3).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*(m\/m**7)\/m)*m**(1\/2))\/(m\/(m*m**1*m))**(-39) assuming m is positive.\nAnswer: m**(-141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 1. Let r = 1.1 - 1. Suppose -4*u - 35 = -5*f, -f = 2*f - 9. Which is the nearest to r?  (a) t  (b) u  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 118 + 464 = -4*x, -2*x = 4*t + 710. Is -179 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 - 6*k**2 - k - 4. Let o be u(-6). Suppose o*a + 64 = 6*a. Solve l - 12 = -3*i, 8*l + a = 4*i + 3*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22932, 22807, 22682, 22557, 22432?\nAnswer: 22307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -2112112?\nAnswer: -2112120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25639349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysfyfywfpffpwswwf. What is prob of picking 1 s and 1 w?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 937774.6l to millilitres.\nAnswer: 937774600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + (sqrt(2736) - (sqrt(2736)*5 + 4) - ((sqrt(171)*1)\/sqrt(9) - (sqrt(19) + 1 + sqrt(475)))) + 2)**2.\nAnswer: 1032*sqrt(19) + 105441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*c**5 - 18*c**4 + 46*c**3 - 14*c**2 - 48*c + 32 = 0. Calculate c.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 39 = -3*b, 37 = 4*o + 2*b - 49. Let t = o + -15. Let c(h) = -h**3 + 6*h**2 - 3*h - 4. Calculate the remainder when c(4) is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -1671*y**2 + 8. Let u(h) = 557*h**2 - 3. Determine 3*m(k) + 8*u(k).\nAnswer: -557*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/25 in 26, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 + 6*c. Let d be m(5). Suppose d*p - 37 = 2*q - 6*q, 2*q + 5*p - 31 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2378 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -j - 2*d + 15, 5*j - 45 = -5*d. Suppose 3*n + f - 26 = 0, -j*n + 2*f + 46 = 3*f. Let a be (-20)\/n*(-7)\/2. Solve -1 + a = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 7\/2 of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*g - q, -185*g + 181*g = -5*q - 6. Let k(b) = b**2 + b + 2. Let p be k(0). Solve g*v + z = -6, 2*v + z = -p - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 2*l = 12 + 22, -2*o + 29 = -5*l. Solve -5*y - o*y + 51 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 8 = -2*l. Let v(h) = 4*h**2 + 9*h + 9. Let o(q) = 11*q**2 + 26*q + 27. Let x(d) = l*v(d) - 3*o(d). Determine x(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27396019 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74742?\nAnswer: 2, 3, 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**17\/m**(-2\/27))**(5\/12))**(-21) assuming m is positive.\nAnswer: m**(-16135\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4536, 9003, 13400, 17727, 21984, 26171?\n\"Answer: -35*d**2 + 4572*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 12961*64\nAnswer: 829504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - 9. Let j be 2\/4*(8 + o). Let g(f) = 13*f - 1. Let k(c) = -9*c + 1. What is j*g(z) + 7*k(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1644*i + 81 = -1650*i + 9*u, 0 = 2*i + 4*u + 6 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + 0 + -1)*2)**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 2 + -7 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 c, and 1 r when three letters picked without replacement from {d: 1, r: 1, c: 1, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -4.5. Let v = -1 + 1.4. Let d = v + 0. Which is the nearest to 0.1?  (a) -2  (b) d  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -49.72?\nAnswer: 43.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5*x + 67 = 0, -c - 44*x + 40 = -48*x. Solve 3*y - c + 37 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w + 2. Let f be a(4). Let y = -1 + f. Solve -2*k - y = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/107 and 20\/3210*-1056 - -7?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26\/3*f + 11\/3*f**2 + 16\/3 + 1\/3*f**3.\nAnswer: (f + 1)*(f + 2)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 2*a + 0*a = -8, 0 = b - 2*a - 8. Let z = b - -2. Suppose f**z + f + 0*f**2 - 4*f + 2 = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 + 16*i - 2817. What is h(-37)?\nAnswer: 698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -0*h - y + 4, 3*h = -2*y - 2. Let k = -0.151 + -0.049. Let x = 4.8 - 0.8. Which is the closest to 0.1?  (a) h  (b) x  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*r + 325*r**2 + r + 133*r**3 - 128*r**3 - 358*r**2 as o + y*r + c*r**3 + b*r**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 1240*h**2 - 2457*h - 35. Calculate n(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005625961 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -4, 6, -3\/8, 3, -6.2 in descending order.\nAnswer: 6, 3, 0.03, -3\/8, -4, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/2)\/(3\/80). Let j = 32 + -26. Suppose -2*u + 8 = 0, j*u = 4*w + u - a. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t + 1. Let g be s(4). Suppose 16 = g*a - a. Suppose 9*r - a*r - 35 = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a**2 - a + 1. Let w(x) = x**2 + 2*x - 1. Let i(j) = -3*n(j) - 2*w(j). Let b be i(-1). Solve 0 = 4*t - 24 + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2178 divided by -121?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o - 5. Let t(j) = -j + 4. Suppose s = 4*s + 2*b - 28, 5*s - b - 25 = 0. Give s*t(f) + 5*w(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -32489 - j**4 + 16247 + 23*j**3 + 16240 + (-2 + 2 + j**2)*(-3*j**2 - j**2 + 2*j**2) as g*j**3 + a*j**2 + f*j + u + r*j**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22374379?\nAnswer: 491, 45569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 19. Suppose -20 = -4*u + s*d, u + 3*u - d = 20. Solve 0 = 5*f + u, 3*l - 8*f = -5*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4.4935, -4\/7, 135\/7?\nAnswer: 4.4935","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 164*q - 4222. Let h be i(26). Calculate the highest common factor of h and 5376.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 238 + j - 136 - 117 as b*j + u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-432)\/62 + (30 - 23). Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 0  (c) 6  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33354501 (base 6) to base 3.\nAnswer: 1220100022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 14. Suppose l*t + t = -9. Let i(d) = -137*d + 2. What are the prime factors of i(t)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of u**5 + 77*u**4 - 18*u**3 + 81704*u.\nAnswer: 20*u**3 + 924*u**2 - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 156 + 0*p - 32*p - 116 + 2*p**2 wrt p.\nAnswer: 4*p - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yppy when four letters picked without replacement from pyyyyyyyypppypyy?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 2026.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 39*h - 123 + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*c = c - 94, 5*c = -20. Let j be -35*((-6)\/((-6)\/(-5)) - -6). Let s be 38\/j + h\/(-63). Put -0.4, s, -0.1 in ascending order.\nAnswer: s, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5533*k**2*z**2 + 7*k**2 - 2*k + 312329817*z**2 wrt k?\nAnswer: 11066*k*z**2 + 14*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11918 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 264\/(-126) + (2 - 0)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 384 and 1824.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4821.564mg in tonnes?\nAnswer: 0.000004821564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 + 7. Let a(p) = -p**3 - 51*p**2 - 355*p - 64. Calculate the lowest common multiple of n and a(-8).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 574*u - 1840*u - 527*u.\nAnswer: -1793*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (-2331)\/2)*(-4)\/(-170) - (-16)\/(-136)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -27 - (-41301 - -41458)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2057) - (sqrt(2057) + (sqrt(2057) + 1 + sqrt(2057))*-5)) + (sqrt(2057) + 2 + sqrt(2057) + -2*sqrt(2057) - sqrt(2057)))*-3)**2.\nAnswer: 12474*sqrt(17) + 1499994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6295382 divided by 2.\nAnswer: -3147691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -372*g**4 + 1756*g - 2896*g - 704*g**4 wrt g?\nAnswer: -12912*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 301.72 and -0.12.\nAnswer: -36.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 13*v**2 - 7*v + 4. Let r be i(4). Suppose 5*g + r = 3*t, 0 = -t + 4*g - 3*g + 58. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {n: 7, w: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 146b7 - -33c?\nAnswer: 149f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = 101*i + 516 + 157, 55*i - 53*i = -5*a - 220 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + i - 1929 + 373, 2*i - 772 = -2*y. Calculate the highest common divisor of 39 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -0.1, 217908 in decreasing order.\nAnswer: 217908, 0, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, i: 2, u: 9}. What is prob of sequence uqi?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -203*t + 245. What is the least common multiple of 7 and w(-5)?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -4*r - 1. Calculate q(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/8 in 1\/7, -0.2, 51?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 961 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -463 + 463.255. Let v = h + -0.355. What is the closest to 0 in v, 4, 0.5, -2\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/(-6) + (266\/21 - 13) + -20.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1230 + 0?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 75, 153, 233, 315, 399, 485?\n\"Answer: f**2 + 75*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3326, -3320, -3310, -3296, -3278, -3256?\nAnswer: -3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47 + 89. What are the prime factors of 18\/c + 543\/7?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b410385 - 2?\nAnswer: b410383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/((-30)\/22*660\/120).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5656 - 4307. Which is smaller: m or 1344?\nAnswer: 1344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 5\/6, -1\/2, -2, -2\/13 in descending order.\nAnswer: 10, 5\/6, -2\/13, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309 + 495 = 6*i. Find the third derivative of 60*w - 29*w**4 + i*w**4 - 42*w**3 + w**2 - 292*w wrt w.\nAnswer: 48*w - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of 0*x + 1\/15*x**5 - 177*x**2 + 0 + 88\/3*x**3 + 5\/2*x**4. Find b, given that c(b) = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1909 - 1910. Sort r, 4, 72, 3, 0 in decreasing order.\nAnswer: 72, 4, 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19920, 17051, 14182, 11313?\nAnswer: 8444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epeewnneeneeeeznze. What is prob of picking 1 w, 1 p, and 1 e?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-25)\/(-9) + (-2)\/(-9). Let c(x) = x**3 - 3*x**2 - x + 4. Let u be c(t). Let o be ((-5)\/(-4))\/((-2)\/(-8)). Put -4, o, u in descending order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 4*q + 3. Let p be n(5). Let h(m) be the second derivative of -m**5\/20 - m**4\/6 - m**3\/3 - 3*m**2\/2 - m. What is the units digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -1854*w**2. Let g(p) = -3*p - 3*p + 10*p + 0*p. Calculate h(g(r)).\nAnswer: -29664*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*z - 3*a - 2, -z - 5*a + 13 = 0. Suppose -z = 3*n - 9. What is the least common multiple of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v + 2*v + 2*v**2 + (0*v**2 - v**2 + 3*v**2)*(0 + 0 - 2) + 4*v - 4*v - 2*v**2 + 35949*v - 35949*v - 317*v**2 as z + w*v + b*v**2 and give b.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of 109*f**4\/24 + 135*f**2. Let z(t) = -t**2 - 2*t - 2. Let b(k) = -k**2 - k - 1. Let d(s) = 2*b(s) - z(s). Determine m(d(w)).\nAnswer: -109*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -47272940 divided by 3\nAnswer: -47272940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, y: 2, d: 2, c: 1, k: 2, r: 1}. Give prob of picking 1 c, 1 g, and 1 k.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -83. Let f = y - 78.9999926. What is f rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1798367821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*12\/6*(-2208)\/192?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - -2. Let d = 77 + -88. Let i = 8 + d. Sort -4, y, i in decreasing order.\nAnswer: y, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -7029041\nAnswer: -7029044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3843700 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -110112202101022 (base 3) in base 4?\nAnswer: -121123313000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(18\/(-10))*-3. Let d(q) = -5*q - 35. Let k be d(-7). Suppose -3 = -k*a + 3*a. What is the nearest to a in -3, p, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -6*r - 1. Let o(t) = -2. Calculate 5*o(l) - s(l).\nAnswer: 6*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -60*y**4 - 250148*y**3 + 22685121?\nAnswer: -240*y**3 - 750444*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 259289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 177 = -v + 772, -4*p - v = -760. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 9)*(-4*x + 4*x + 2 - x).\nAnswer: -3*x + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/4 - 14\/(-30). Let x = 2.970223 + 0.029777. Which is the second smallest value?  (a) x  (b) g  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -58\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5\/2  (b) 0.1  (c) 4  (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34571 (base 14) in base 9?\nAnswer: 213557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -293357 times -7\nAnswer: 2053499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -11*f**2. Let x(m) = 27*m**2 + 23*m**2 - 2*m - 77*m**2 + 22*m**2 - 23*m. What is x(d(y))?\nAnswer: -605*y**4 + 275*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 5\/7, 1\/4, 137?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 3*p - 7, 18 = 5*a - p - 33. Solve -7*l + a*l + 3 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3852803.\nAnswer: 683, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 80 * -0.298\nAnswer: -23.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42 + 55. Suppose -5*i + n = -73. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 1. Let r = 1.05 - u. What is r rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x + 2. Let t be f(2). Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*h**3 + 2418*h - 2 + 135*h**4 + 135*h**4 - 63*h**2 + 1756*h - 262*h**4 wrt h?\nAnswer: 96*h**2 + 36*h - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4479689210 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7, -21, -59, -133, -255, -437?\n\"Answer: -2*h**3 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -10*f**2 + 11*f**2 + 3*f + 5*f + 4*f + 12. Suppose 4*l - 57 = 3*k, -2*l = 4*k - 3*k - 31. Calculate the remainder when i(-15) is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -779 = -11*u - 790 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 51*s**3 - 6*s**2 - 229*s - 427. Give b(-2).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 + 85044*j - 2124225.\nAnswer: -3*(j - 28323)*(j - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8, -117, -416, -1001, -1968, -3413, -5432?\nAnswer: -8121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -2061, -3\/14?\nAnswer: -2061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of 7*t**5\/20 + 2*t**4\/3 - t**3\/2 - 11*t**2\/2 - t. Is k(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29*d**2*l**2 - 3533*d**2*l + 31*d*l**4 - 2*l wrt l?\nAnswer: 58*d**2 + 372*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + -1)*-3 + -1*1*sqrt(75))**2*-6.\nAnswer: -7254 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -22. Suppose -h = 3*h, -h = -4*l - f. Let o(w) = -6*w**3 + w**2 + 5. Let t(i) = -5*i**3 + i**2 + 4. Determine l*t(n) + 4*o(n).\nAnswer: n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) -0.3  (b) -132  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5834754 and 75419598?\nAnswer: 2036329146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of 1\/84*w**4 + 0*w - 2*w**2 + 0 - 1\/210*w**5 + 2\/21*w**3. Factor d(n).\nAnswer: -2*(n - 2)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 10*f + 19. Let m be x(5). Calculate the remainder when (-320)\/(-60)*m\/(-4) is divided by 5\/(2*2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 2:05 AM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6879 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 4144?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1756, -3536, -5316, -7096, -8876?\nAnswer: -10656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -256682723*l**5 - 2016*l - 4713?\nAnswer: -5133654460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 721500 and 390.\nAnswer: 721500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -5*n**3 - n**2 - 4*n + 4. Let b(v) = 6*v**3 + 2*v**2 + 4*v - 5. Let s(m) = 6*b(m) + 7*x(m). Suppose -1951 = 37*q - 1766. What is s(q)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(180) + sqrt(180) + 1*sqrt(180))**2*4*3*-2.\nAnswer: -38880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (159\/(-159))\/(19\/(-2))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2)\/y**(-5\/2))\/((y**(-2)\/y)\/(y\/(y*(((y\/(y\/(y\/(y\/(y*y*y**(-9)\/y*y)))))\/y)\/y)\/y*y*y))) assuming y is positive.\nAnswer: y**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 184*m**3*s*y**2 - 7*m**3*y + 2*m**3 + 2*m**2*s + 13*m*s - 3*m*y**2 + 10*s*y**2 + 2*y wrt y?\nAnswer: 368*m**3*s - 6*m + 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/(n*n*n\/(n*n\/(n**(-9)\/n*n)*n)*n)))\/n*n)\/n)\/n**17*n**(-1\/13)*n*(n\/(n\/n**0))\/n assuming n is positive.\nAnswer: n**(-339\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 75017649 to the power of 1\/2, to the nearest integer?\nAnswer: 8661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 6*t + 42. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*z = -70 - 44. Let w be 1\/(z\/(-12) + (-67)\/(-130)). What is the highest common factor of w and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2321*q**3 + 6279*q**3 + 7008*q**3.\nAnswer: 10966*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -39, -35, -27, -15, 1, 21, 45?\n\"Answer: 2*x**2 - 2*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from kzzl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 2:35 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ehheehhehhhhhhhe. What is prob of sequence eh?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 + 2387*g + 36071. Determine t(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 81967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 470 = -5*f. Suppose -3*m - 2*m = f. Let x = -21 - m. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1236 divided by -103?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 83. Let v = 154 - i. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -254 + 481 + 146*m**2 - m**3 - 250.\nAnswer: -m**3 + 146*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2187 + 2189.795. Round s to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -w**3 + 44173878*w**2 - 24154288*w wrt w?\nAnswer: -6*w + 88347756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**2 + 6*j + 1. Let w be -1*3\/(-6)*-18. Let c(x) = 3*x**2 + 12*x + 3. Let y(l) = w*f(l) + 4*c(l). Factor y(v).\nAnswer: 3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = t - 5*h, 0*t - 4*h - 29 = t. Let d be 12\/t*9\/6. Let z be (-9)\/(-6) - d\/(-4)*-3. What is the greatest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100758 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -937 + 937. Let t(w) be the second derivative of -w + 0*w**3 + 1\/6*w**4 + 0 + c*w**2. Let f(l) = 6*l. What is t(f(r))?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*a**2 - 62*a**2 - 61*a**2 + 33*a**2 + 35*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 10) to base 4.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 5*a + 159. Let n be k(-31). Determine r, given that -r**n + 0 + r**2 + 0*r - 5\/2*r**5 + 5\/2*r**3 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -5*g + 2*g + 4*g - 2*g**2 + 2. Let t be a(2). Let h(j) = j**3 + 5*j**2 + 2*j - 5. What is h(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4511, -5432, -6349, -7262, -8171, -9076, -9977?\nAnswer: -10874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12491131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in -0.5, -2\/9, -4, -13\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 - 1421656\/21280 - (-2)\/(-7 - 1)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -52\/7 and -58\/60085.\nAnswer: 420595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of 0*s + 3*s**2 + 0*s**5 + 1\/60*s**6 + 1\/2*s**3 + 0*s**4 + 0. Differentiate b(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -272, -551, -828, -1103, -1376?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*t + 12*t - 21 = 135 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, b: 2, i: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.8987304 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + (-37827)\/(-15) - (-3 + 140\/50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/12457644 and 77\/18686466.\nAnswer: 37372932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 76 - (-69 + 63 - (-4 - 24))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 + 44456*z + 1506880.\nAnswer: 4*(z + 34)*(z + 11080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-72)\/(-7))\/(-3 - (-88)\/28). Calculate the highest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 AM and 4:12 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r**2 + 12*r**2 + 7*r**2 + 6*r**2 - 40*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 20*f**2 - 2682*f + 1369*f + 1370*f + 0 to the form r + k*f**2 + h*f and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 0 + 0*v**3 + 0*v**2 - 1\/6*v**4 - 18*v. Let a(r) = -37*r**2. What is x(a(t))?\nAnswer: -2738*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/15 + (-10)\/(-3). Suppose -2*k + 4*k = -2*m + 18, p*m - k = 41. Solve 0 = -2*r + q - 0*q - 6, 3*r = 2*q - m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -665 + 663. Which is the third smallest value?  (a) i  (b) -0.15  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4001063 divided by -1\nAnswer: 4001063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10012122 - 10002220021?\nAnswer: -2222200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -602*b - 12215 + 1084 = -295 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 16*a**2\/5 - 84*a\/5 + 4 = 0.\nAnswer: 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/28?  (a) 4  (b) -1\/8  (c) -0.3  (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*d = 50*d + 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-16)\/3)\/(24\/(-324)) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/5)*y*y*(y**(1\/7)\/y)\/y*y*y*y*(y**(1\/3))**(28\/5))**47 assuming y is positive.\nAnswer: y**(21761\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 681031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/54 + (-21 - 35763\/(-1053)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1502 - 1462. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1746656045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, m: 6, t: 6, a: 2, j: 3}. What is prob of picking 3 j and 1 a?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/5 - (-399)\/35. Solve 2*z = -z + k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 115*y + 418*y - 537*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a. Let y(s) = -14*s. Let t(p) = -7*i(p) - 2*y(p). Let z(h) = 2*h**2. Calculate t(z(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jef when three letters picked without replacement from {w: 4, i: 1, j: 2, e: 2, f: 1, h: 4}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5860640, 11721251, 17581832, 23442377, 29302880, 35163335?\nAnswer: 41023736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13498350997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (800\/120)\/((-2)\/(-9)). Solve f = 10*q - 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 divided by -19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n**4 + 1 + 676*n + 2*n**3 - 4*n**3 - n**4 + 2*n**4 - 976*n in the form i*n**2 + f*n**3 + b + w*n**4 + t*n and give t.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 22553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0477773 and 5478.951?\nAnswer: 5478.9032227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 14bc0 + 20b?\nAnswer: 14dcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 2*a = -4, 0 = 2*x - 371*a + 372*a - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(2 - (2 - -1)). Let u(p) = 6*p**2 + 0*p + 0*p + 4. Let b(v) be the third derivative of 11*v**5\/60 + 7*v**3\/6 + 8*v**2. Calculate d*b(x) - 7*u(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**5 - 137*f**3*k + 37*f*k - f wrt f.\nAnswer: 40*f**3 - 822*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -11989?\nAnswer: 11989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -0.4, 10, -5, 3 in descending order.\nAnswer: 10, 3, 0.1, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -6 + 2. Let w(i) = -4*i - 3. Let m be w(h). Solve -5*c = -0*c + m*o + 20, -10 = 2*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3584889105.\nAnswer: 3, 5, 7, 83, 411347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-23)\/46)\/(3\/(-282)). What is the greatest common divisor of f and 1833?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 91173, 91194, 91215, 91236, 91257, 91278?\nAnswer: 91299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -14*y**2 + 54*y + 55. Calculate r(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -8733790.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 48*o - 14. What is w(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 338652 divided by 818\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*k**2*v**3*y**2 + 20*k**2*v**3 + 2*k**2*y**3 + 6*k*v**3*y**3 - 2*k*y**3 + 2*k*y**2 wrt y?\nAnswer: 12*k**2 + 36*k*v**3 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9672917 litres to millilitres.\nAnswer: 967.2917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134217 is divided by 175.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 77187307 by 77187307.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -3*a - 14. Let v = -17 + 11. Let u be s(v). Solve -18 = -k - u*j, 4 = j - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37509 - 75017\/2. Let q = 1604\/11 - 146. What is the third smallest value in o, -3, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -531*y**2 - 1523*y - 2*y**4 + 1525*y - 424*y**2 to the form u*y**2 + b*y**4 + n*y + f + c*y**3 and give u.\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 701.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25 in -2\/13, -818, -2\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*r - 3*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4540556 (base 9) to base 7.\nAnswer: -26543115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2*(-1)\/(-2))\/(688\/20640)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3812, -1, 3 in descending order.\nAnswer: 3812, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the first derivative of -x**4\/3 - 20*x**3\/9 + 26*x**2\/3 - 28*x\/3 + 914. Suppose k(w) = 0. Calculate w.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 406944 and 1220832?\nAnswer: 1220832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -7*a**3 - 4*a**2 - 2*a - 4. Let h be v(-3). Let o = -85 + h. Let l = o - 27. What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -2*k + 38. Let z be m(18). What is the closest to -2\/5 in 0.02, z, -2, 1\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -245*w**3 - 3*w**2 - 96*w + 98. Determine d(1).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23 + -20. Calculate the smallest common multiple of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**3 + 168180*q**2 + 1008900*q.\nAnswer: 5*q*(q + 6)*(q + 33630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add -31 and -0.0419.\nAnswer: -31.0419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 149*a - 785814 + 775980 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 0*r**3 + 0 + 0*r**5 + 0*r**6 + 1\/168*r**8 + 0*r**7 + 0*r + 1\/6*r**4 - 2*r**2. What is the second derivative of z(s) wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -6*a - 20. Suppose -j - 4*j = 65. Let m = j - -4. List the prime factors of k(m).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes before 5:25 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 54.4 * -0.232118.\nAnswer: -12.6272192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*o = 116*o + 123*o - 2480 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(220))\/(sqrt(1584)*1)*2)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h - 5 + 5)*(-1 - h**2 + 1)*(0 + h + 0)*(126 - 126 - 21*h).\nAnswer: -21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k**(-8)))\/k)\/k)**(-34\/3)\/(k\/(k\/(k*k*(k\/(k\/(k*k**7)))\/k*k)))**(15\/2) assuming k is positive.\nAnswer: k**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185259*z + 48735 = -187084*z - 136475 + 24610 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 2*h + 650 = 0, -16*a + 658 = -13*a + 4*h. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/57?  (a) -3\/7  (b) -1\/7  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 378375 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -3516, -3588, -3660?\n\"Answer: -72*d - 3444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2. Let k(h) = 3*h**2. Let l(n) = k(n) - 18*s(n). Let y(b) be the third derivative of b**4\/8 - 2534*b**2 - 2. What is y(l(z))?\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zxssiittziiixititxs. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 64 and 6976?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 276851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 494684978 is divided by 620?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 234 + -164. Suppose -15 = -5*a - l. Let u = 4 - a. What is the remainder when 28 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 2*f. Suppose 2*v = -2, -k - 5*v + 6*v = -4. Let t(l) = -3*l**2 + k*l**2 - 42*l**2 - 50*l**2. Calculate g(t(w)).\nAnswer: -184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 8*q. Let g(u) = 34223*u**2. What is g(p(a))?\nAnswer: 2190272*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 54, -3\/8, 1271\/28?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 5954255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**7\/((g*(g\/g**13)\/g)\/g) assuming g is positive.\nAnswer: g**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 10*h**3 - 98*h**2 - 13*h - 1244. What is r(11)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-44)\/528)\/((-6)\/(-296)). Are -4 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 4*v = -14230, 2*h + 7*v - 5*v = 5694. Calculate the highest common factor of 116 and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0687176 + -0.07069. What is n rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1564586*h + 7176500.\nAnswer: -1564586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from shhhss.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b - 1. Let p be h(5). Suppose -4*m + 3*j + 3 = 2*j, p*j - 12 = 4*m. Let s(u) = 4. Let k(q) = q + 5. Calculate m*k(x) - 3*s(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of 1\/20*s**5 - 21\/16*s**4 - 25\/2*s**2 + 0*s - 109 + 10*s**3. Factor z(p).\nAnswer: p*(p - 10)**2*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9967*v*w**2 - v - 236408*w**2 wrt v?\nAnswer: 9967*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2438710849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2 + 0)*(-5*o + 3*o + o) + 18*o - 5*o + 0*o)*(-10*o - 2 - 20*o - 5*o).\nAnswer: -420*o**2 - 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-3)*(-43)\/(-8)*((-486)\/(-9))\/(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*a + 2*a - 5*a)*(-3 + 0 + 2) + a - 5 + 5 + (2*a + 0*a + 0*a)*(-3 + 0 + 2) - 81*a + 159*a + 776*a.\nAnswer: 851*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24 - 73*a - 22 - 93 + 140 - 7*a.\nAnswer: -80*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -13601445 divided by -17?\nAnswer: 800085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 10\/409 and -129 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 770 a factor of 1980440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**5 + 12*j**4\/5 - 108*j**3\/5 + 6*j**2\/5 + 93*j\/5 - 18\/5 = 0. Calculate j.\nAnswer: -3, -1, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h**2 - 6*h - 17. Let n(l) = -4*l**2 + 3*l + 9. Let x(b) = -3*f(b) - 5*n(b). Let w be x(3). 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: Does 71 divide 745074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*q, -874179 + 127983 = 2*k + 2*q. What is k rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90268 and 986.\nAnswer: 44502124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -3.8. Which is the third smallest value?  (a) -1  (b) g  (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1599 + -1.3.\nAnswer: -1600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5*m**2 + 2015*m - 282141. What is d(-513)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1eca0 (base 15) to base 2.\nAnswer: 11000100101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 7*a + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23021 (base 4) in base 5?\nAnswer: 10323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 2*p = -43 - 43, -5*o - 5*p = 120. Let n(x) = x**3 + 19*x**2 - 14*x - 151. Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 6:56 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -5*p - 0*p. Let l(h) = h**2 + 28*h + 40. Let z be l(-23). Let n be (p\/z)\/(1\/(-90)). Calculate the greatest common divisor of 18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 427605 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -2*m**3\/3 - 25*m. Let p(j) = 3*j**2. Determine p(a(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 30 + -29. Let g be (c\/(-1))\/(16\/1040). Let a = 104 + g. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y**2 - 10*y - 12. Let u be s(-9). Let c = u - -57. Let d be ((-4628)\/(-267))\/(4\/(-6)). Is c smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 48 - 28 = w, 2*t + 6 + 26 = -2*w for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 + -25. Let u be 8\/(-10)*(-50)\/4. Suppose u = 3*v - x, -16 = -4*v + x - r. What is the second smallest value in -3\/4, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55 - -121. Let c = 169 - w. Let j = -63 + c. Calculate the greatest common factor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - 5*v**2 - 8*v + 9. Let d = -32 + 36. Let k be d\/(-10) + (-22)\/(-5). Suppose -k*g = -27 + 3. What is u(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16489 + -16485. Factor 32\/3*k - d + 0*k**3 - 8*k**2 + 4\/3*k**4.\nAnswer: 4*(k - 1)**3*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + -1. Let c be (x - 22)*6\/(-7). Suppose -4*d - 6*i = -2*i - 4, -3*i = 6. What is the greatest common divisor of c and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 + 10 - 15)*(-5*n - 4202 + 3954 + 2*n) to the form z + u*n and give z.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-11 + 7 - (1 - (0 + 3)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes before 6:41 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 9 = 3*r, -4*r + 3*r = -5*w + 13. Suppose 4 = r*p, 3*c + 4*p = 8 - 0. Solve 3*i + i + 18 = 2*b, -i - 3 = c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from vrdqvrvrrhv?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/70 - (-1)\/(-7). Let d = -7 + 12. Sort y, 3, d in decreasing order.\nAnswer: d, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3 + 2122?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -2, 1, 43 in descending order.\nAnswer: 43, 1, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90915)\/(-3432))\/95 + (9\/(-8) - -1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -81*j - 2. Let v(h) = 2643*h. What is x(v(o))?\nAnswer: -214083*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 221922772 to the power of 1\/2, to the nearest integer?\nAnswer: 14897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -8*f**2 - 39*f - 96. Determine r(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - 202*x**3 - 67*x**3 + 80*x**3 - 30 + 30.\nAnswer: -189*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13171057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/1089 or 15\/2?\nAnswer: -2\/1089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 20 - 23*v - 30*v + 10*v + 6*v. What is the tens digit of d(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-4))\/(90\/1080)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 AM and 10:32 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9*4\/(-126)*35. Suppose 3*n = -0*n + 66. Suppose 5*m - 2*m - h - n = 0, -5*h + 30 = 5*m. Solve 0 = -m*w + 2*w - p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*z - 7270 = -266*z - 75*z + 10352 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r. Let p(q) = 21 - 3*q - 21. Let u(c) = -2*c. Let l(j) = -5*p(j) + 8*u(j). Determine l(b(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.01 * -17.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1776*k - 16603 = -73435 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 3*n = 5*l + 883, 4*l + 5*n + 877 = 0. Let k = 71 + l. Let d = 275 + k. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -394134, -394132, -394130?\n\"Answer: 2*y - 394136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 + 3*r**2 - 4*r - 1. Let m be b(3). What is the third biggest value in 5, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 65 = -4*u, -5*u - k = -3*u - 15. Suppose -28\/9*j**u + 8\/3*j**3 + 0 + 10\/9*j**5 - 4\/9*j**2 - 2\/9*j = 0. Calculate j.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3401501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*4\/(-3)*(-126)\/(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2*j**2 + 4*j + 20. Let a be m(4). What is the second derivative of -9*r**4 - 9 + 4*r**4 + 6*r - 19*r**3 + 3*r**a wrt r?\nAnswer: -24*r**2 - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5, -114, -381, -878, -1677, -2850?\n\"Answer: -12*j**3 - 7*j**2 - 4*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of i**4\/12 + 3*i**3\/2 + i**2 + 3*i. Suppose o = 5*u + 1, -28 = 4*o - 4*u - 0. Let b be t(o). Solve 5*c - 18 = b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44519 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1\/65 + -121\/585. Let p be 403\/(-273) + (-1)\/(-3). Which is bigger: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 4*w - 64. What is g(14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20533571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10104?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, -2, -4 in increasing order.\nAnswer: -4, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 7*g**3 + g**2 + 2*g - 6. Let p(m) = -2*m + 1. Let w be p(-1). Let i be b(w). What is the greatest common divisor of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3362 (base 8) to base 5.\nAnswer: 24103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**4 - 9495*g**3 + 503982*g**2.\nAnswer: 3*g**2*(g - 3111)*(g - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 10:03 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 2*q - 14. Let c be z(7). Solve c*y - 9 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 + 5 - 5) - (-11 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 40 - 45. Let s(v) = v**3 + 10*v**2 + 10*v - 9. Let t be s(-8). Let p be 20\/t - -2*2\/(-6). What is the third smallest value in h, 0.2, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 10*t + 3*t - 16*t)*(37*t - t + 2*t)*(0 + 10 - 2).\nAnswer: -912*t**2 - 1216*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/136*-28*4\/(-14)*-20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1.26 - 1460.3\nAnswer: -1459.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5257, 5185, 5091, 4975, 4837?\n\"Answer: -11*g**2 - 39*g + 5307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*h**2 - 3*h**2 + 3*h**2)*(-4*h + 3*h + 0*h) + h**3 - 1 + 1 - 4*h**3 + 2*h**3 + h**3 + h**3 + 5*h - 5*h)*((-2 + 1 + 0)*(h - 2 + 2) + 3*h - 9*h - 4*h).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1034150 rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33\/5, -4, -2\/5 in increasing order.\nAnswer: -33\/5, -4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -3. Let c = -6 - -8. Let n = -44.8 - -45.8. Put c, -2\/13, i, n in descending order.\nAnswer: i, c, n, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 76065308*b**3 - 95505695 wrt b.\nAnswer: 228195924*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 3*k - 3*o, 956*k - 3*o = 1920*k - 963*k - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the third derivative of -f**5\/60 + 41*f**4\/24 - 13*f**3 - 24*f**2. Is n(32) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 19. Let m be 9\/r - 30\/9. Let d be (-2)\/10 + 1 + 54\/(-135). Which is the closest to -0.3?  (a) 3  (b) d  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**5\/10 - a**4\/4 - a**3\/3 - a**2 - 10*a. What is the tens digit of q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2. Let u(o) = o + 7. Let v(m) = -m - 6. Let i(h) = 4*u(h) + 5*v(h). Determine f(i(s)).\nAnswer: -s**2 - 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -482 divided by 14775.\nAnswer: -482\/14775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 83 divided by 7247\nAnswer: 83\/7247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - -0.3. Let g = 1.13 - -0.87. Let r be (-2285)\/1371 - -1*(1 - -1). Put r, i, 2\/3, g in decreasing order.\nAnswer: g, 2\/3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5\/4, 4, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 363212 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t - 262*t**2 + 2*t + 183*t**2 - 2*t.\nAnswer: -79*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -77 + 200 - 74 + j + 4*j - 76. Determine x(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -49*r - 26. Let o(a) = 9*a + 5. Let u(t) = -2*h(t) - 11*o(t). What is u(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.59688 kilometers to nanometers.\nAnswer: 24596880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (2\/16)\/((-13)\/(-194)) and 6 + -12 - 2\/(-40)*11?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12 - -28. Let m = 2 + 3. Suppose -h = -m*h + j. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 2*r**2 + 3*r)*(-35 + 15 - 27) + 2*r**2 - 1 - 2*r + 0*r**2 - 4*r**2.\nAnswer: 92*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 2. Let o = -0.43 + 0.03. Which is the nearest to y?  (a) o  (b) 2  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -23310400 to the nearest 100000.\nAnswer: -23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 495 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269154?\nAnswer: 2, 3, 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -165376.58 - 19403476?\nAnswer: -19568852.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 5*z**2 + 4 + 4*z - 4 + 3 + 0*z. Let l be n(-4). Suppose 132 = -0*h + l*h. Calculate the highest common factor of 11 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -11. Let b(u) = 9*u + 1. Let m be b(z). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1262, 1263, 1264, 1265, 1266?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the third derivative of -i**8\/11200 + i**7\/4200 - i**4\/8 - 2*i**2. Let g(w) be the second derivative of z(w). Let g(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/4?  (a) 2\/223  (b) -1  (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1515313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/18 and -69\/250?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 83*w**4\/8 - 172*w**3\/3 + 95*w**2 - 24*w - 4655. Determine p, given that x(p) = 0.\nAnswer: 12\/83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10, -461\/5, 2?\nAnswer: -461\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/28 - (-14)\/(-120). Let u(p) = -3*p**2 + 113*p - 75. Let q be u(37). Are x and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 132\/14 - (-76 - -86). Suppose -2 = 2*m, -3*v + 13 = -0*v + 2*m. Let j = -233\/2 + 114. Which is the smallest value?  (a) j  (b) v  (c) f  (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 11*u - 7. Let b(r) = 5*r - 3. Let w(t) = -7*b(t) + 3*l(t). Let g be (-27)\/12 - 1\/(-4). Let o be ((-15)\/6 - g)*-6. Calculate w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -29, -30, -33, -38, -45?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.8 - -13.8. Let w = -11 + p. Put -2\/9, -0.3, w in decreasing order.\nAnswer: w, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (8 - (53 - 49))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121553 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2594 (base 15) to base 7\nAnswer: -32236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164892\/234 - (-1)\/3.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 88, 2, 5, 0 in decreasing order.\nAnswer: 88, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/8  (b) -5  (c) -35  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(-2\/7)*p)\/p*p*p*p\/p**(-7))\/(p**0)**43)\/((p**(2\/5)*p*p*p**(-5))\/((p**(-6)*p)\/((p**(-3\/5)\/p)\/p))) assuming p is positive.\nAnswer: p**(382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -3*y**5\/5 - 9*y**4\/4 - 2*y**3 - 65. Let w(g) = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 1. Let r = f + 6. Let s = 5.22 + -3.22. Which is the nearest to 1\/5?  (a) -0.5  (b) s  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 - -1122?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.7 and 0.4?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/36)\/((-15)\/21825) - 4*5\/(-120).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-145)\/(-15) + -9)\/(5 + -4). Let x be (-3 - 1) + (8 - 2). Factor -2\/3*y**4 + s*y + x*y**3 - 2*y**2 + 0.\nAnswer: -2*y*(y - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7830236 and 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 9*g. Let d(q) = 1452*q. Calculate d(f(t)).\nAnswer: 13068*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*w + 3*w - 9*w)*(5*w - 2*w - 2*w)*(2*w + 1 - 1)*(2*w + 0 + 0).\nAnswer: -112*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 39*k**2 - 235*k - 116. Give s(6).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103 - 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -2303880.\nAnswer: -2303880, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -20*x**3 + 13*x**2 + 26*x - 7. What are the prime factors of b(-4)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1741 + 1745. Let z = -1 + 1. Let a = -11 - -7. Put y, z, a in ascending order.\nAnswer: a, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17271 - 17266.94096. Let o = 0.00796 + n. Let z = -4.24 + o. What is z rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 42*y. Let k(d) be the second derivative of d**3\/6 - 2*d - 32. Determine o(k(p)).\nAnswer: 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6956 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -65\/83 - -4411\/2241. Calculate the common denominator of -5\/11556 and m.\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 757*o - 753*o - 47*f - 81, -5*f = -5*o - 60 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 405337 by 1.\nAnswer: 405337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 109, 101, 67, -5, -127?\n\"Answer: -2*q**3 - q**2 + 9*q + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + (sqrt(396) + -2)*-3 + (sqrt(396) - (sqrt(396) - -2*(sqrt(396) + sqrt(396)*-2)))))**2 + 5.\nAnswer: -48*sqrt(11) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 10881 + 9545. List the prime factors of t.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(81)\/sqrt(3) - sqrt(189)\/(1*sqrt(7)) - sqrt(162)\/(sqrt(150)*-1 + sqrt(6)))**2*5*1.\nAnswer: -30*sqrt(3) + 1415\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 163619162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5724*j - 3313*j = -903*j + 303951 + 794139 for j.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, p: 1, z: 1, d: 4}. Give prob of sequence zpe.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 20081.3 + 1480860\nAnswer: 1500941.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 4*z + 3 = 0. Solve 15 + 5 = 4*v, -j = z*v - 17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 589*j - 57. Let q(v) = -42*v + 4. Calculate -4*f(a) - 57*q(a).\nAnswer: 38*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 183 a factor of (732 - -5)*((-148)\/(-24))\/(3\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.6?  (a) 4\/7  (b) 7.4  (c) 426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y**2 + 2*y - 1. Let m be 6\/(-5)*4\/(-8)*10. Let d be (4 - 2)*(4 - m). Let j be 2\/(-4)*8\/d. What is f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -175 - -2701. Suppose 5*u + 341 - k = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 728023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - (2\/1 + -6). Suppose 0 = -j*v - 0*v + 21. Let l be v*2\/232*(14 + -10). Is 1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m**5\/2 + 3394*m**4 + 44434*m**3 + 186095*m**2 + 485175*m\/2 - 23625 = 0.\nAnswer: -5, -3, 1\/11, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h - 274 = 407 + 814. Solve 64*i = h*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15500, 5, 0, 2, 1, -8, -2 in decreasing order.\nAnswer: 15500, 5, 2, 1, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8*(-2 + 10\/4). Suppose -s = -3*n + 2*n. Suppose 0 = -5*u + n*z + 64, z + 49 = 4*u - 0*z. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-28))\/((-58)\/(-446397)) + 2. Let u = i + 158269\/64. What is the common denominator of -75\/4 and u?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 204 divide 3876061666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -9*a - 165. Let z be u(-25). Is 6\/z*-8 - (-1368)\/10 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 11:52 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z - 5. Let j be i(-5). Suppose j*q = 5*q + k - 63, -2*k + 48 = 4*q. What is the third derivative of 68*b - 68*b + q*b**2 - 23*b**3 wrt b?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 3:25 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + 0. Suppose 3*m + 71 = 4*d, -b*d - 2*m + 86 = -d. Suppose 2*j - 7*j = 5*k - d, 3*j = -k + 20. Calculate the greatest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or -14161?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -97711954 and -7.\nAnswer: 683983678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/9, 0.4, -0.3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*j**2 + 28*j**2 + 5 - 868*j + 8*j**2 - 3 in the form k*j + f*j**2 + p and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3.33 or -2\/39?\nAnswer: 3.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 1:44 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, q: 7}. What is prob of sequence qk?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1264, 2547, 3842, 5149, 6468, 7799?\n\"Answer: 6*c**2 + 1265*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 79, 64, 67, 94, 151, 244?\n\"Answer: y**3 + 3*y**2 - 31*y + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((-12)\/(-9)) - (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -270 + 266. What is the smallest value in 3.6, -2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 2*q + 66 = 0, p + 4*q - 8*q = 8. Suppose -4 = 6*i - p. Solve i*n = -2 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 247788666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146415 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847)*-1 + 2)**2 - (sqrt(847) + sqrt(847) + (sqrt(847) + (sqrt(847) + -1 + sqrt(847) - sqrt(847)) + 4)**2))*-3*-1.\nAnswer: -7638 - 594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/378*(2 + 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 0*q + 16 = -5*o, o + 11 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.85899 litres to millilitres.\nAnswer: 31858.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 18653894767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -3*h + 700, x + 4*x - 2*h - 725 = 0. What is the highest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 - 40*c**2 + 86*c + 42. What is u(-42)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 11859083, 11859101, 11859119?\n\"Answer: 18*l + 11859065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -112214 - 24243?\nAnswer: -142012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4943 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*r + 4*l = -100, -3*r + 2838*l - 2840*l = 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7780764 is divided by 317.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -871 by -1.\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 - h**2 + 0*h**2 + (-4 + 4 - 2*h)*(-3*h + 0*h - h) + (4 - 4 + 1)*(5*h**2 - 4*h**2 - 2*h**2) - 3*h**2 + 0*h**2 - h**2 + 0*h**2 + 2*h**2 - h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1092)\/(-108) + 30\/(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 10 = -10. Suppose 20 = 4*i + z. Find the third derivative of -i*g**2 - g**2 - 30*g**6 - 37*g**6 + 51*g**6 wrt g.\nAnswer: -1920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v + 2. Suppose 40*i + 8 = 42*i. Give p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 826.9 + -827.1. Let l = 1.9 - 2. Which is the smallest value?  (a) l  (b) t  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -313055351*w**5 - 233352454*w**2?\nAnswer: -18783321060*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 1 = 3. Let j(a) = -a**3 - 19*a**2 - 4*a - 76. Let c be j(-19). Sort 5\/2, c, 0.01, n in descending order.\nAnswer: 5\/2, n, 0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 22*q**2 - 126*q + 921. Give g(25).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 79\/3 of a minute?\nAnswer: 1580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*p + 52870, 15950 - 58205 = -4*l + 5*p. List the prime factors of l.\nAnswer: 2, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**4 + u**2 + u + 8*u**4 + 5*u**4 - 4*u**3 + 2*u**3 in the form z*u**4 + j*u + x*u**2 + h*u**3 + d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from mffl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (255\/(-2448))\/(5\/4).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1037692, -1037701, -1037716, -1037737, -1037764, -1037797, -1037836?\nAnswer: -1037881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 1397533 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -430 = 9*q - 11*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3512091*b**4 + 3*b**2 + 11*b - 12015 wrt b.\nAnswer: -84290184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 658400569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 379.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**2 + 45*u + 37. Let m be x(-22). Let l be 1\/((m\/200)\/((-24)\/(-20))). Calculate the greatest common divisor of l and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-24)\/(-15) - ((-27)\/(-15))\/3. What is the common denominator of 195\/424 + w\/(-8) and 79\/10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 0)*(1 - 29*s**3 - 2 - 30*s**3).\nAnswer: 118*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002214453 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4\/125, 0.4, -4?\nAnswer: -4\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 101 = 5*z + 1, 3*z + 3*i = 66. Let h = 39 - z. What is the highest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 7658*s - 3. Let j(l) = 7*l**2. Determine k(j(m)).\nAnswer: -49*m**4 + 53606*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -393 - 10883. Let f be (z\/10)\/(4\/(-2)). Let v = f - 552. Calculate the common denominator of 45 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 3*u - 3. Let w be g(-4). What is the common denominator of 29\/2 and ((-3)\/(-6))\/(w\/33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6563, 11846, 17173, 22544, 27959, 33418, 38921?\n\"Answer: 22*a**2 + 5217*a + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 5746.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-3))\/((-3)\/18*10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of v**4\/12 - v**3 + v**2\/2 - 6*v. What is g(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1197 is divided by 319?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -27 - -27. Let d be (144\/32)\/((-3)\/(-4)). Let y be (d\/(-8))\/(15\/(-40)). Solve p = 5*u - f + 6, 3 - 10 = 5*u - y*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -2*o**4 - 5*o - 1. Find the first derivative of x(a) wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5566840 to the power of 1\/3, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 116 divide 9570\/9*(-2)\/(-15)*36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -88*z + 97?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210\/(-84))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -121 * 0.34\nAnswer: -41.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of -7921*j**5\/150 + 89*j**4\/15 - 4*j**3\/15 - 16*j**2 + 6. Factor p(g).\nAnswer: -2*(89*g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*b + 4*b - 20*b - 23*b - 26 wrt b.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the third derivative of 0 + 1089\/2*f**3 - 33\/4*f**4 + f**2 + 1\/20*f**5 + 20*f. Suppose o(t) = 0. What is t?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {r: 2, g: 1, l: 1, y: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1760980 by 23.\nAnswer: 1760980\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 27*i**2 - 1. Let p(v) = -14*v**2. Let b(r) = 6*g(r) + 11*p(r). Let j(l) = -4*l**2 + 3. Let n(y) = -3*b(y) - 5*j(y). Differentiate n(z) wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -129 + 129.111. What is l rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16841 is divided by 36.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -8*k - 39105 + 7735. Which is bigger: -3136 or k?\nAnswer: -3136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9, 4, -10.7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -17*m + 4. Let k be y(-6). Let r = 83 - 40. Let t = k - r. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 + 9. Let z = i - 6. Which is the second smallest value?  (a) -3\/4  (b) 2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pny when three letters picked without replacement from vpvvwyvvvynvyvy?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of w**7\/420 + w**6\/180 - w**5\/60 - w**4\/12 - 2*w**3\/3 + 15*w. Let j(y) be the second derivative of q(y). Solve j(o) = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 33, -2, 2\/13, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35889 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -6 - 6. Let p be (-2 + 1)*2 - 0. Is -3*p\/l - -19 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.158?  (a) -0.05  (b) 2  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1044 = 6*v - 35*v. Calculate the greatest common factor of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 3*i - 3*i)*(7 - 1 + 2)*(46 + 124 - 109) + i + 1 - 1.\nAnswer: -975*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35.54 + 1730.54. Which is greater: 2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/11 in 145, -102, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 3*o**2 - o. Let u be t(3). Calculate the common denominator of ((-49)\/(-22) + -2)*(-2)\/u and 76\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*l - 61*l - 5*w = -13771, -3*l + 10337 = 2*w. List the prime factors of l.\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(1\/3)\/(v**(-1\/21)\/v)*v\/v**(4\/3)*v*v*v**8\/v assuming v is positive.\nAnswer: v**(211\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*i**3 - 2*i**2 + 2*i**2)*(1 + 3 - 3) in the form z + h*i + u*i**3 + x*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1041*c - 5*l + 47 = -1044*c, 13 = -c + l for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y*y*y**(2\/17)))\/y)\/((y\/(y\/(y**(-2\/7)\/y*y*y)*y))\/y)*(y**3\/y)**(-2\/3) assuming y is positive.\nAnswer: y**(-1130\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007734442478 to five dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - (-1 - (-2 + 1) - (5 - 11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -34 smaller than 254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1768\/526341 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/4  (b) -1\/2045  (c) -3  (d) 1\/5  (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117838 is divided by 4424?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 6317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12\/(-2*(-1)\/3). Suppose 0 = 5*w - 12 - 8. Suppose -w*r = r - 10. Solve 2*y + r*c - i = -0*c, -y = -5*c + 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 1\/7, -1\/2, -14, -2750.8 in decreasing order.\nAnswer: 1\/7, -1\/4, -1\/2, -14, -2750.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9241.\nAnswer: 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 5*x**2 - 45*x + 4. Let o be s(9). Let q = -3 - -5. Suppose q*m + 1 = -4*z + 81, 60 = 2*z - o*m. Calculate the highest common factor of z and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h*(h\/h**(-4))\/h)\/h*h*h)**(-4\/23))**(15\/7) assuming h is positive.\nAnswer: h**(-60\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r + 11*r = -5. Solve 0*s + 6 = n - 2*s, r*n + 3 = -s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 4*m + 1. Let x be o(-5). Let i be (-4)\/x - (-1304)\/12. Suppose -r + 5*r - i = 0. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1251764971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - a1b?\nAnswer: -a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -0*l. Let c(i) = 4 + 2*i - 12 + l*i. Let m(j) = -1. What is c(h) - 8*m(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - -25. Suppose -r + 4*r + 3 = 0. Put 0, o, r in increasing order.\nAnswer: r, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i**2 - 8*i + 14. What is l(4)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 240335.06 * -9.\nAnswer: -2163015.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 10 = 2*l, -15 = 5*n - 3*n - 3*l. Solve -5*q - 1 - 4 = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 3 + (-1 - 1) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 * 20616935\nAnswer: -412338.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-2) + -3 - -9. Let q be ((-6303)\/(-165) + -27)\/(2 - 8\/5). Calculate the greatest common divisor of j and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 489*q**4 - 16*q**3 + 25845*q?\nAnswer: 5868*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**2 + 29*g + 50. Let b be m(-14). Suppose -r + 5*r = -364. Let n be 1\/(r\/(-90) - 1). What is the greatest common factor of b and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 5287.22.\nAnswer: 5286.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 587931173?\nAnswer: 53, 11093041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1501736 is divided by 1767?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wzlwwljbwjzwwlzz. Give prob of sequence ww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -293754*f**3 + 3*f**2 - 7*f - 25. Is q(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-3\/4))\/f)\/(f\/(f**(3\/7)*f*f)*f*f)*(f\/((f\/(f**(-3)\/f*f))\/f*f))**43 assuming f is positive.\nAnswer: f**(-3649\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1135089 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3736539*0.27.\nAnswer: 1008865.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f**2 - 5*f + 11. Let x(k) = -3*k**2 - 4*k + 10. Determine -2*t(l) + 3*x(l).\nAnswer: -3*l**2 - 2*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 4*w - 6, -4 = -3*s + 3*w + 2. Calculate the lowest common multiple of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/42 and 41\/228.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 6:59 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -444*d**3 + 888*d**2 - 43*d + 61. Give n(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/3308166 and 51\/38?\nAnswer: 3308166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2493\/5 + -496. Find the common denominator of r and 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 5*v - 4. Put 0, 4, v in descending order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 783\/2010 + 12*(-9)\/360. What is the nearest to -1 in -2\/5, -5, u, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kroekeokkrrkkok. Give prob of picking 1 e, 1 r, and 1 o.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 0*f + 2 + 0*f + f + 16*f. Calculate the remainder when d(3) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -0.08, -128 in descending order.\nAnswer: 2\/3, -0.08, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(20\/(-164)) - 1\/5. Suppose 15*o - 21 = q*o. Let p(r) = -3*r**2 - 3*r - 3. Let h(l) = l + 1. Suppose 5*x - 4 = 1. Calculate o*h(u) + x*p(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -63*r - 28*r**2 - 3*r**3 - 30 + 2*r**3 + 26 - r**4 + 61*r + 164*r**2 as t*r + y*r**2 + w*r**4 + q + v*r**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u = 2*p - 3, 50*p - 46*p = 4*u + 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*b + 92 = 11 + 873 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 853528787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (21\/(-9))\/(-1) - 59*(-12)\/(-288)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/(-6))\/(30\/(-45))*-2. Suppose -3*z + 20 + 1 = 3*x, 3*z = -4*x + 23. Let m be x - 5 - -38 - -1. What is the highest common factor of m and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17118*p**2 + 4333*p**2 + 4329*p**2 + 4331*p**2 + 4125*p**2 + 166*p**3 - 165*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x + 38*o - 34*o + 1099, -4*x - 4*o - 1468 = 0. Is x >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 284018 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + q + 0 + (-2*q + 2 - 2)*(4 + 1 - 3) - 2*q + 3*q - 5*q - q + 5*q - 5*q + (-3*q - q + 3*q)*(5 - 2 + 1) - 3*q - q + 2*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 + -11000001000000010100101?\nAnswer: -11000001000000010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 8160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -5*u - 5*r, -4*u - 6 = -6*u + 5*r. Solve 5 = 5*a, 7*a - u*a - 14 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2035 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s**3 + 2*s**2 + 6*s + 8. Let u be c(-2). What is the highest common divisor of 276 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 + 6 - -17) + -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z + 10*z - 91220 = -3*a, -a = -3*z + 273590. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 158729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**4\/4 + 5*t**2 - 9*t. What is the derivative of a(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1178 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + 23. 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 -96 divided by 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -153397 and 10?\nAnswer: 153407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 672540 is divided by 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1717*d + 22 - 1674*d + 3272*d + (-5 + 3 + 4)*(3*d + 3*d - 5*d).\nAnswer: -117*d + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/(-21))\/(((-1184)\/1295)\/(-32))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.3 + 0.3. Let d(w) = -w + 3. Let n be d(0). Suppose 3*y = -f + 3, -3*y = 4*f + f + 9. Which is the second smallest value?  (a) f  (b) r  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 7) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d - 5*s - 141 = 0, 4*d - 91 = -1576*s + 1579*s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 3*n - 15 = 0, 4 = -4*y - n + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbggggg. Give prob of sequence gbg.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18153065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -142*d + 185. Let s(k) = -71*k + 92. Let m(l) = -6*n(l) + 13*s(l). Does 43 divide m(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20856 or 19902?\nAnswer: 20856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2088 + 2089. Let w be 10*(-1)\/3*-3. Sort -1, p, 3, w in decreasing order.\nAnswer: w, 3, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*o**5\/2 - 1655*o**4\/2 + 12995*o**3\/2 - 24185*o**2\/2 - 6500*o + 12920 = 0. What is o?\nAnswer: -1, 1, 4, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 433 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.5, 6, 1473, 0.2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.96262 + -0.03738. What is the closest to 2\/7 in t, 0.1, 3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -14 - -71 - 2*1. Suppose -5*s = -r - 10. Let y = 98 - s. What is y rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-736)\/(-6))\/(-8)*(10215\/(-6))\/5. What is the highest common divisor of 1589 and n?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305785786 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 6*q**2 + 2*q - 1. Let v be z(1). Let g(j) = -j**2 + 8*j - 5. Let m be g(v). Does 16 divide m\/7 - 3744\/(-126)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 5*k**2. Let b(w) = 11*w**2 + 3. Let u(t) = 21*t**2 + 5. Let a(f) = -5*b(f) + 3*u(f). Give a(n(o)).\nAnswer: 200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 704, 679, 656, 635, 616, 599?\n\"Answer: s**2 - 28*s + 731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 517089*w - 1551300. Give l(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1960085 - 1957997 = -174*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uebbemyuumblle. Give prob of picking 1 u and 1 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3 + 11. Let f = 3 - -7. Is 8 a factor of (-390)\/(-25) + r\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 39668351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -27697 - 0?\nAnswer: -27697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 270391 and 31819.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -5152.\nAnswer: -1\/1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 152046.98 from 0.06.\nAnswer: -152046.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/1 + (-4)\/(-2) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 176 and 176 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19994 + -19989. Solve -212 + n = -23*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 9a0799 (base 12) to base 11\nAnswer: 1422220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-194)\/4 + -1)\/((-5)\/(-10)). Let u = 119 + p. Solve 2*s + u = -3*z, 0 = 2*s + s - z + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2110 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes before 6:07 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*h - 5*t + 4 = 73*h, -h + t - 2 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -4*c - 21*c**2 - 2*c + 22*c**2 + 5. Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253966796 is divided by 7256194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1142*s - 134 + 9828 + 23424 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 234132 + -22?\nAnswer: 234110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 4) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 13) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0301 - -2.9401. Let r = u + -3.11. What is the closest to -1\/2 in r, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -12*v**3 - 67*v**2 - 22*v - 20. Is 4 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/9*(-92 + 65).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -5*o**2 + o. Let r(l) = -l**2 + l + 1. Let d(a) = i(a) - 6*r(a). What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 6 = 8*x. Let l(n) = -n**2. Let o(t) = -6*t**2 + 3*t - 2. Suppose -3 = r + m, -3*m = 4*r + 2 + 6. Let u(v) = r*o(v) - 5*l(v). What is u(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501719.\nAnswer: 501719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 3440?\nAnswer: 3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*s + 0)*((-1 - 3 + 6)*(1 - 3 + 1) + 4 - 1 + 6) to f*s + p and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(98) + sqrt(98) + sqrt(128)*1 + sqrt(128))**2 - (6*sqrt(242)*-2 + 3).\nAnswer: 252*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56826.43ml to litres.\nAnswer: 56.82643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-6))\/(16\/96)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l + 1. Let t be f(4). Let m be t\/(-4) - 615\/20. Let w be ((-2)\/4)\/(15\/m). Which is the closest to w?  (a) 0.4  (b) -2\/3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - -11) + -10 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 9\/205 and -79\/40.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-33)\/2*2)\/((-69)\/23)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*v - 49*v = 0. Solve -2*c - c - 9 = v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59931115.\nAnswer: 5, 257, 46639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*(-53*6\/(-4770))\/((-2)\/(-69))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.3, -0.2, -429, 38, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1608467696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6669 + 37*b**2 + 6669)*(-4*b + 5*b + 2*b).\nAnswer: 111*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 4*u + 29. Let y(m) = -m - 7. Let d(i) = 2*x(i) + 9*y(i). Let k be d(-9). Does 3 divide (-2 + 3)*3*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45*m**2 + 53*m**2 + 10*m**3 - 26*m**2 wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2124 by 531.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -22122211001 (base 3) in base 4?\nAnswer: -221213110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**3 - 2*k**2 + 2*k. Let p = 6 - 8. Let a = p - -4. Suppose 9 = 14*m - 11*m. Let h(w) = 3*w**3 + w**2 - 2*w. Determine a*l(i) + m*h(i).\nAnswer: i**3 - i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 9, p: 2, j: 2, d: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of 3*r**5\/20 + r**3 - 6*r. What is the second derivative of c(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.07 - 0.17. Suppose 0*n + 3*n = s + 10, -5*n + 5*s = -20. What is the third smallest value in n, r, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-6*sqrt(27)\/(sqrt(90)\/(sqrt(10)*-2)).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81545305 is divided by 31509?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 509.263.\nAnswer: 152.7789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -i - 4. Let d(r) = r**3 - 6*r**2 - 8*r + 2. Let j be d(7). Sort j, -4, i.\nAnswer: j, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 11:38 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 11:27 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -39*r**4 + 2*r**2 + 0*r**3 + 2*r - 4*r**3 - 6*r**3 + 45*r**4.\nAnswer: 2*r*(r - 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -127\/2  (b) 2  (c) -2872  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*m**5 + 12410*m**4 + 170776*m**3 + 164008*m**2 + 5408*m = 0.\nAnswer: -26, -1, -4\/117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1185 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 8 + -1 - 5 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 2*g - 40 = -4*z, -2*g = -3*z - 56. Let t(p) = 5*p - 1. Let r be t(2). Let q be (r\/(-4) + 1)\/((-2)\/(-24)). Is z > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -15*r - 5. Let o(l) = -l + 2. Let v be o(-5). Let b be c(v). Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-2\/7))**(-20)\/(s*(s\/s**4)\/s*s**2) assuming s is positive.\nAnswer: s**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 87618510 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 9*j**2 - 8*j + 4. Let r be a(8). Suppose r*y - t - 65 = 0, -4*y + 3*t + 77 = 6*t. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - -4) + 5 + 2. Solve c + 9 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10 and 28016040.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, t: 1, u: 1}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(5 + -13 - -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of 5*l**9\/84 + 2*l**5\/5 + 16*l**2. Find the third derivative of h(i) wrt i.\nAnswer: 3600*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g*g**(-3\/2)*(g**(-17)\/g)\/g assuming g is positive.\nAnswer: g**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 2*g + 189, -2*v + 2*g - 5*g = -375. Suppose 70 = -q + v. Suppose 0 = -3*o + q - 20. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5 = c, j - 2*j = c - 7. Suppose 11*x - 10*x - 75 = 0. Let z = x + -73. Solve 2*i = -z*i + c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccw when three letters picked without replacement from cxawarrc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*m + 111 = y, 4*y - 4*m + 10*m + 8*m = 12*m + 342 for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5475 + -1641?\nAnswer: -7336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((25\/(-24))\/((-25)\/(-20)))\/(75\/(-12))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = j - 4*z - z, 3*j + 44 = -z. Let k = 678 - 8129\/12. Find the common denominator of (j\/4)\/(165\/20) and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 6*b - 2. Let o be r(-5). Suppose -3*u - o*t + 114 = 0, -t + 5*t + 121 = 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-4 + 5) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 483823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u - 12. Let d be h(9). Let b(w) = -2*w + 14. Let r be b(d). Let k(p) = 2*p**2 - 2*p - 2. Let g be k(2). Is g > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-1)\/((-4)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**7\/735 - 31*w**6\/1260 + 13*w**5\/105 + 11438*w**2. Solve s(o) = 0 for o.\nAnswer: 0, 13\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 5*j**2 + 8*j + 8. Let h be n(-1). Suppose 4*q + 0 - 22 = -2*r, -3*q = 3*r - 24. Suppose -r = -t - 0, 5*b + 5 = 4*t. Solve 4*g = b*g - h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 6*h + 730 - 730. Let r(s) = 5*s**2. Determine r(v(j)).\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 222 + -222. Suppose u = -v - 11*v + 24. Solve 0 = -2*x - v - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67 (base 15) in base 12?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -108494852 and -108494852 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 - 41.5. Which is smaller: 2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 7*d + 3*d - 12 to the form p*d + u and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*y + 32*y = -8. Suppose -7*c = -12*c + 95. Suppose -3*b = -4*d + 2, 7*d = b + y*d + c. Solve t + 4*f + b = 4*t, 2*t - 4*f - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s + 45. Let r(m) = 3*m - 39. Let t(u) = 6*p(u) + 7*r(u). Let l(x) = -x**2 - 5*x + 5. Determine -3*l(o) - 5*t(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -m + 2*m**4 + 9 - 3*m**3 - m**2 - 4*m**4 - 31 + 22 to r*m**3 + s*m**2 + n*m + z*m**4 + f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140*n - 4*c = 141*n - 15, 4*n - 4*c = -20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 129\/(-18)*2*(-30)\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.58999876 - -3.59. What is d rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3261, 3300, 3339, 3378?\n\"Answer: 39*b + 3222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n**2 - 3*n**2 + 0*n**2)*(0*n - 2*n + 6*n) - 2*n - 2 + 4 + n**3 - 1 to w + o*n**3 + t*n + v*n**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -5*d + 5, 2*a - d - 52 = -65 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 - 15)*(2*y**3 - 5*y**3 + 2*y**3) to the form s*y + c*y**2 + m*y**3 + a and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 372\nAnswer: -5\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of 123*b**4\/4 - b**3\/3 + 3*b**2\/2 - 383*b + 6947. Find the third derivative of x(f) wrt f.\nAnswer: 738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 20\/9 + 6\/(-27). Suppose -5*p = -w*r + 3, r + 3*p - 7 = -0*r. Calculate the remainder when 6 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from ewiliiwlliiw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 0.2, -107.9, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5742 times 64\nAnswer: 367488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1169\/27975 - -2\/1119. What is the closest to -0.1 in 1, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1246 - -1?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**5 - 9796*j**4 + 5013*j?\nAnswer: -40*j**3 - 117552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**1)\/(q*q**(3\/5)))\/(q\/(q**(1\/2)\/q))**50 assuming q is positive.\nAnswer: q**(-383\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -60\/13, -2\/7, 5 in descending order.\nAnswer: 5, 0.1, -2\/7, -60\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 5*q**2 - 35 + 35. Let i(n) be the third derivative of n**4\/24 + 2*n**2. Calculate i(c(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (3*(sqrt(176) + 2*sqrt(176)*6) + -3)**2 + (-1*sqrt(176)*-1 - (4 + sqrt(176) + (sqrt(176)*2 - sqrt(176)))).\nAnswer: -940*sqrt(11) + 267696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -7. Let x(f) = f + 165. Let y be x(l). Let h = 292 + -226. What is the greatest common factor of h and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 8 = -q. Suppose -q*n - 6 = -38. What is the greatest common divisor of 72 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 96088.51 tonnes?\nAnswer: 96088510000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 84, 130, 176, 222, 268?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/4*(4 + -10). Suppose -v*z = 2*z - 200. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2916 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 12 - 1 - (-4 + 6). Suppose 8 = x - i. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -c + 19, -3*c + 28 + 5 = 3*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.7, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**5\/20 + l**4\/12 + l**3\/2 - l**2\/2 + 4*l. What is s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -116902 + 478815\/4. Let i = h + -2780. Calculate the common denominator of i and 4\/(-6) - 14\/33.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 - -a14?\nAnswer: a10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.123 minus -0.09?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m + 34 = -2*g - 5 - 27, 0 = 2*m - 18*g - 51 - 83 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -892*b - 260*b - 2 - 5 + 7 + 1183*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + l = -16, -a - 2*a = 3*l. Suppose k = a*z, 0*z - 2*z + 6 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 - -17. Let n = -4 + j. Suppose 372 = c + n*c. Is c a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 11:34 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -176 + 216 + 16992\/(-447) + 4\/(-2)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 76 - 115. Let w = l + 155\/4. Which is the second biggest value?  (a) -5  (b) w  (c) 4  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3041807910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 6*y**2 - 6*y + 16. Calculate the lowest common multiple of c(5) and 57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1716100 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14796 divided by 105.\nAnswer: -4932\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n*n*(n*(n*n**(-5\/2)\/n)\/n*n)\/n)*n)**(4\/21) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 7098214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - z**2 + z - 2. Let c(w) = -290*w**3 - 462*w**2 + 2*w - 4. Let o(l) = -c(l) + 2*r(l). What is the third derivative of o(n) wrt n?\nAnswer: 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 63*n**3 + n - 1. Is f(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 39*a**5 - 29*a**5 + 45*a**5 + (-a**4 - a**4 - a**4)*(0*a - a + 0*a).\nAnswer: 58*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 0.0373?\nAnswer: 3.0373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176495363?\nAnswer: 11, 29, 553277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*6*sqrt(324))\/(-2*sqrt(8)\/(sqrt(4) + -5*sqrt(4)))*-1)**2.\nAnswer: 583200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 3*t = -86, 0*t + 8 = -k + 4*t. Let c be ((-4)\/k)\/(4\/32). Suppose -2*r + 12 = c, 2*l = -2*r + 114. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 1. Let x be (2\/(-4))\/(4\/8). Let j = 16 + -13. Suppose -j*y = 8 - 5. Let n(r) = 3. Determine x*n(t) + y*q(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78209, 78208, 78207, 78206, 78205?\nAnswer: 78204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 419912 + -267345. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 188451\/5 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z + 11. Let n(c) = -c - 2. Suppose o = -5*d - 64 - 97, 0 = -4*d + 3*o - 144. Let v(k) = d*n(k) - 6*f(k). Determine v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, 0, -33\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13368 = -56*u + 78472. Does 82 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9316884431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 k, and 2 d when four letters picked without replacement from {k: 2, d: 2, u: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2099*h - 4070. Let c(n) = n**2. What is f(c(q))?\nAnswer: -2099*q**2 - 4070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 302 + 1394 = 4*p. Let q = 447 - p. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 230940 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 996079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*o**3 + 3766790*o**2 + 2731384*o wrt o?\nAnswer: -18*o + 7533580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42216930?\nAnswer: 2, 3, 5, 7, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/12 and 37\/18522?\nAnswer: 37044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 55769092 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 70*j. Let a be k(5). Suppose 5*x + 5*p = -65 + a, 243 = 4*x - p. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**5 + 6936*g**4 + 6020432*g**3 + 11978484*g**2 - 30074482*g - 36039468 = 0. What is g?\nAnswer: -1733, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -52 - -55. Suppose -3*a + o = -3. Suppose -5*m + p + a = 0, -p + 6 = 4*m - 1. Solve -k + 2*l - 1 = 0, 2 = -3*k + 4*l + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 16*f**2\/11 + 30*f\/11 - 4\/11 = 0.\nAnswer: -2, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 2*w**3 - w**2 + w - 1. Let v be h(2). Suppose b = -2*b + v. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*m - 12. Let j be 2\/((20\/m)\/5). Solve -2*h = 5*y - 15, -5*y + 9*y = -j*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -2*h**4 + 163061*h**3 - 3339573843*h**2 + 649929298579*h + 325799563133 = 0.\nAnswer: -1\/2, 197, 40667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4*(-4)\/24*1*(-261)\/(-58). Let j(h) = 2*h**3 - 3*h. Let m(d) be the first derivative of -d**4\/2 + d**2 - 1. Give c*j(u) - 4*m(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 - (-34 + -15) - -17.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3055776 + 3055954.9887. Let v = 179 - g. What is v rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3\/15941 - -1418605\/765168. Find the common denominator of (-6)\/(-80)*6407\/894 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126880233.\nAnswer: 3, 19, 2225969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -245, -207, -169, -131, -93?\n\"Answer: 38*c - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*b = 45*b + 910. Calculate the smallest common multiple of b and 13.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 448995137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2679.65482 and 27.00927.\nAnswer: 2706.66409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**22\/o*o\/o**(-5))**(-2\/87))**(2\/73) assuming o is positive.\nAnswer: o**(-36\/2117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3107 divide 14969526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134 = -2*g - 5*s, 5*g - 9*s - 393 = -7*s. Do g and 77 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 979, 1814, 2655, 3508, 4379?\n\"Answer: a**3 - 3*a**2 + 837*a + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 9, z: 7, p: 2}. What is prob of picking 2 p and 1 m?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 442 divide 5505110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, h: 9, q: 3}. Give prob of sequence nnn.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from thdiithctki?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.041 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 36*s - 13. Is i(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/25*(-420)\/126?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4 = 0, -4*j - 2*x + 120 = 2*x. Let f = -26 + j. Suppose -3*l = -d, -l + 2*d - 4*d = f. Which is the second biggest value?  (a) l  (b) -0.1  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -304 + 10564. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 2*d - 94, 63 = 2*o - 5*o + d. Let l be o\/30 - (1 + 34\/(-6)). Solve 2*r + 3*q - 3 = 0, -4*r + 4 = r + l*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (63\/21)\/((4\/12)\/((-5)\/18))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 158 and 19039.\nAnswer: 38078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n**2 - 1037*n - 2. Let b(m) = 7*m + 1. Determine b(w(c)).\nAnswer: -28*c**2 - 7259*c - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 3*f - 8*k, 2*k - 84 = -2*f - 94 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46 = 25881*u - 25886*u - 2*o, 5*u = 3*o + 56 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3*k - 149 = 0, -7 = k - 4. Calculate the remainder when 37 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 - (-11)\/2)*2393166\/1467?\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229481 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 0*l - 30. Factor -8*h**3 - h**3 + l*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207073020 a multiple of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1292, 1993, 2694, 3395, 4096, 4797?\nAnswer: 5498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10042 is divided by 4431?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -74.92 + 13.7. Let s = a - -61. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 9 = 3*u. Suppose u*i + 5*l - 51 = 7*i, 0 = -4*l - 4. What are the prime factors of (-40)\/i*70\/20?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*n = 15*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1983, 1971, 1959, 1947, 1935, 1923?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3543156 and 11766.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*r = -39*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**0)**19*((q*q*q*(q**1\/q*q)\/q)\/q)**(-46) assuming q is positive.\nAnswer: q**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(176))*3 + 2 + sqrt(176) + -1.\nAnswer: 1 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 200 and 41325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -79265482*q**2. Let k(z) = 2*z. Determine m(k(v)).\nAnswer: -317061928*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x + 19. Let s be 9\/(-5 - -2) - 51. Let l = s - -43. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 + 47 = -5*h + 4*l, -3*h - 4*l = 4. Calculate the smallest common multiple of -3*(-2)\/h - (-291)\/4 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 12 - d984?\nAnswer: -d972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 110 - 107. Suppose 0 + 12 = -p - k*x, 3*p + 2*x = -8. Is 1\/57 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5, -2932, 0, -1, 4 in increasing order.\nAnswer: -2932, -1, 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/13045 and -10\/23481.\nAnswer: 117405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**2 - 4 + 4 + (3*h - h - 3*h)*(20 - 20 + 3*h) + 0 - h**2 + 0 + (h + 2*h - 2*h)*(2*h - 3 + 3).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -69.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + (4 - 9) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*z**3 + z**2 - 3515*z - 13.\nAnswer: 48*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 320 and 1340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnciziicccgncc. Give prob of picking 1 c, 1 i, and 1 z.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 + 12. Let z(p) = 4*p + 12. Let s(n) = n + 3. Calculate k*s(r) - 2*z(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 215847190?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5*n = -190, -3*d - 2*n + 15 = -97. Suppose -1007*f + 1028*f = 63. What is the greatest common factor of d and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, -123\/80, -4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1106595, -1106554, -1106527, -1106520, -1106539?\n\"Answer: -x**3 - x**2 + 51*x - 1106644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -120\/7 + 963\/28. Let v = 2853487 + -40109053\/14. Let r = 11440 + v. Find the common denominator of k and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + 58*y - 158 = -10*k, 4*k + 23 = -7*y + 11*y + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**3 + 6*j**2 + 4*j + 4. What is u(5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 9*p**2 + p - 1. Let f be r(-6). Let y = -911\/9 + f. Suppose 2 - 17 = 5*t + 2*j, 2*t - 3*j - 13 = 0. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0  (b) -5  (c) 2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2\/7 - 2024*x\/7 + 9515840\/7.\nAnswer: -4*(x - 1310)*(x + 1816)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -4 - 18*z**2 - 8 - 8*z**3 - z**4 + 4 + 0. Find r, given that i(r) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28154\/19 or -1481?\nAnswer: -28154\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.372 and 96048.1.\nAnswer: 96045.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(-44)*44\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12202110 - 1211201?\nAnswer: -21121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4 = 2*d. Let h be 40\/(-22) + 3 + 70\/(-22). Put -4, d, h in descending order.\nAnswer: d, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2\/8 + 830299*o\/4 + 689396429401\/8 = 0. Calculate o.\nAnswer: -830299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*a - 47*a + 29. Solve a = -6*o + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -30450196428833.\nAnswer: -30450196428838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -0.1  (c) 8  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11720046 divided by -3906682.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) -3\/5  (c) 0  (d) 7\/5  (e) -2\/11  (f) -20.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 482 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(48) - sqrt(192)\/sqrt(4))*-6)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 70942797 to the power of 1\/2, to the nearest integer?\nAnswer: 8423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 268808 (base 10) to base 6\nAnswer: 5432252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**3 - 151*y**2 + 507*y - 170. Calculate b(72).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 7:44 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from {n: 1, u: 1, j: 3, k: 1, m: 2, p: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-7) - (21 - 22)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 782324720.\nAnswer: 2, 5, 157, 199, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -4794400 to the nearest ten thousand.\nAnswer: -4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 t when three letters picked without replacement from yyjtjtyyy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oobobooboggoboooobb. Give prob of sequence bobo.\nAnswer: 275\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3 = -1. Suppose -3*n = 2*c + 3*c + 42, -z*c = -n + 20. Let g be (4\/3)\/((-4)\/c). Solve g*j - 2*y = 3*y - 8, 4*y = -3*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - 14. Which is the second smallest value?  (a) d  (b) 2\/7  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 - c2?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/4)\/d*d*d**(-1\/4)*d\/d**(1\/5)*d**3)**(-5\/13))**(9\/2) assuming d is positive.\nAnswer: d**(-297\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2.058976 years?\nAnswer: 0.02058976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, 4, 5, 647\/4?\nAnswer: 647\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001931493 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(33)*-1 - sqrt(99)\/(-1*sqrt(3)))*1)\/((-5*sqrt(99)\/sqrt(3))\/(4*sqrt(12) - sqrt(3))).\nAnswer: 7*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4874499 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42659 + -42610. Let f be (-4)\/14 - (-8)\/(-21). Sort 1, f, d in descending order.\nAnswer: d, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1356247, 2712752, 4069257?\nAnswer: 5425762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135095697 by 366113.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-212)\/689)\/((-2)\/611) is divided by 4\/((-6)\/243*-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -70 + 4 + (36 - (-2 + -17 + 39) - 12).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 13 = 3*d, -1 = -5*d + 4*z + 10. Suppose -2*x - d*x = 2*m - 6, 0 = 3*m - 4*x - 9. What is the units digit of (-14)\/(-6) + 2\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.410347 rounded to three decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4619*i**3 + i**2 + 2764*i + 8 wrt i.\nAnswer: -27714*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 41747 = 28172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 9 = 5*c, 22*c - 2*m = 18*c + 6. Solve -l - n = -2*n, 3*l + 3*n + 18 = c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-6))\/(-5) + 6 + 100\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 90*v**2 - 108*v - 278. Determine m(-3).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 7*g**2 - 8*g. Let m be y(-6). Let n be (-11)\/(-3) + (-8)\/m. Suppose -n*c + 2*c + 79 = 4*f, -5*f - 15 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 2:51 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*a*v**4 - 60*a*v**3 + 10*a*v + a - v**3 + 9 wrt v?\nAnswer: -72*a*v**2 - 360*a*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21425215 (base 7) to base 14.\nAnswer: 35c07c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12 - (-7 + 3 + 3). Let t = p - -4. Calculate the remainder when 66 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79 - 41. Let x = l - 129. Let z = 132 + x. Is z a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19977*l**2*m**3 - 13*l**2 + 3*l*m**3 + 2*l*m**2 + 232080*m**3 - 2*m**2 wrt l.\nAnswer: 39954*m**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3690*23973\nAnswer: 88460370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -86 - -177. Let c = 56 + -95. Let i be c*((-8)\/(-6))\/(-4). What is the highest common factor of r and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 7?  (a) 0.035  (b) -37009  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -17*t + 12*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -23b (base 12) to base 2\nAnswer: -101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is be2e (base 15) in base 10?\nAnswer: 40319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -58 or -3278\/57?\nAnswer: -3278\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 54\/5 greater than or equal to 46298?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 25 + 27. Suppose 0 = -r*a + 21*a - 10. Sort 4, a, -7.\nAnswer: -7, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2868 divided by 717?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.84 - -1.8373. What is t rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*d - 4*r - 2 = 56*d, 0 = -5*d - r - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -3405?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/2)\/((-2470)\/3420))\/(42\/(-28))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 0*l - l + 29 = 0, 0 = l - 4. Let c = 496 - 491. Calculate the greatest common divisor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes before 8:22 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 5)*(-2 + 11 - 1 + 3 - 3 + 2 + 0 + 0 - 2 + (5 - 2 - 1)*(1 - 1 - 2) + 1 - 3 + 4)*(3*z + z - 2*z)*(4 - 3 + 0) to v + y*z and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1788000 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 954 is divided by 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 13\/4 - 4\/16. Suppose j*d - 262 = d. What are the prime factors of d?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -2\/17  (c) -48.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3954?\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*c + 4. Let n(z) be the second derivative of -38*z**4\/3 + 28*z**3\/3 + 646*z. Let b(l) = 8*l**2 - 3*l. Determine c*n(d) - 56*b(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -38. What is the greatest common factor of v and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 - 13) + 3 - (-64)\/8. Let y(s) = -s. Let o be y(-5). Solve -3*u - q*u = -o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 126 = u. Suppose 3*b + u = 6*b. Let s = b + -42. What is the highest common divisor of s and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-7*5\/((-805)\/2)). Let a be (-27 - f) + -14*(0 - 2). Solve 0 = a*u - 23*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 5)*(-n + n + n**4) + 2*n - n**4 + 0*n + 3*n**4.\nAnswer: 7*n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52168078 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2. Let l(w) = -11*w + 6*w + 8*w. Determine u(l(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-405)*-9*(315\/(-246))\/21\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34121, 68271, 102413, 136547, 170673, 204791?\nAnswer: 238901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 88, 137, 200, 283, 392, 533?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 49\/55 + -12\/11. Let z = 6.3 + -6. Let m = -2.31 - -1.81. Which is the nearest to -1\/3?  (a) w  (b) m  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 5*m**2 + m. Let b be a(5). Suppose 0 = 5*k + 2*d + 3, 7*d - 3*d + 21 = b*k. Solve 9 = -5*z - k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-126)\/140)\/(-9)*10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7907.\nAnswer: 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5520 divided by 1.\nAnswer: -5520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 533969185 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1017, -2110, -3205, -4302, -5401?\nAnswer: -6502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0  (b) 0.4  (c) -5  (d) 9  (e) -6.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7343 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -1080831*o**2 - 2 + 1080876*o**2 + 2. Let m(p) = -21*p**2. Calculate m(k(y)).\nAnswer: -42525*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 - -94391.\nAnswer: 94387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*u = 30, 4*h + 18 = 7*h - 2*u. Suppose 1026 = 12*x - h*x. Is x at least as big as 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 9. Let x be z\/(-14) - (-106)\/14. Factor n**3 + 4 - x*n**3 - 14*n**2 + 2*n**4 + 6*n - 6*n**4 + 14*n**4.\nAnswer: 2*(n - 1)**2*(n + 1)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3831 is divided by 1382.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283593036?\nAnswer: 2, 3, 23, 53, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*l**3 + 115 + 13*l**3 - 26*l**3 - 66*l + 64*l wrt l.\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5279721 is divided by 275.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -35 - 1. Let h be 1 + 3 + -4 + 2 + 10. What is the highest common divisor of h and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -26 - 4?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51 and 62781.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**2 + 14103*y + 98620. Give b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -2, 5 in ascending order.\nAnswer: -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 786816*q = 786814*q + 4*r + 2, 4*q - 2*r = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -2 + (sqrt(2299) + sqrt(2299) + 0 + sqrt(2299) - sqrt(2299)) + (sqrt(2299)*2 - sqrt(2299))*6)*1)**2.\nAnswer: 352*sqrt(19) + 147140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19271, -19264, -19245, -19208, -19147, -19056, -18929, -18760?\nAnswer: -18543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33020 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 303537 = 66644. What are the prime factors of u?\nAnswer: 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b - 1. Let c(l) = -15*l. Let f(q) = c(q) + 6*k(q). Let g be f(-7). Suppose -7 = 2*r - g. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -172, -344, -516, -688?\n\"Answer: -172*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 540*u = -458*u + 25948 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 219 divided by 3.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -289 + -136a9?\nAnswer: -13987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16007497.\nAnswer: 11, 1455227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 + -17. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 + 2*z - 2*z)*(3*z + z + z + 0*z - 3*z + 2*z + (0 + 0 - 2*z)*(-2 + 5 - 2) - 2*z + 0*z + 0*z - 2 + 2 - 4*z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 110.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1254440.\nAnswer: 2, 5, 11, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/12 + 2474\/12. Let p be 2\/13 - t\/(-13). Let o(f) = -p + 16 + f. Let x(v) = -4*v. Give x(o(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 837 + -401.6159039\nAnswer: 435.3840961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31779 + 15496. Calculate the greatest common divisor of o and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2270038 or -15890276\/7?\nAnswer: -15890276\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -0.5  (c) -2\/19  (d) 31  (e) 0.4  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 101778 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4292 is divided by 2139?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-6)\/27 - ((-598)\/342 + -1) and -27\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/11)\/(((-5460)\/(-78))\/(-770)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 195 - 5 = 0. Suppose n = -2*t - 2*t. Let o = t - -12. Let y(p) = -p**3 + 2*p. Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1789?\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-4 - 3) + -3 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o + 63. Let z(s) = -31. Calculate -2*n(h) - 5*z(h).\nAnswer: 2*h + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 8*l + 10 = 0. Suppose 0 = h + 3*m - 0*m + 8, 3*h - l*m = 18. What is the remainder when 3 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 8, i: 1, b: 11}. Give prob of sequence ib.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71 + 71.81. Let b = l - 8.11. Let k = b - -7.2999897. What is k rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -10*g - 101. Let b be k(-11). Solve -b = -4*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of a**6\/20 - 4*a**3 + 2. Let l(w) be the third derivative of q(w). Let m(g) = 2*g**2. Give m(l(x)).\nAnswer: 648*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, k: 6, m: 10}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 + 45. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.028*-492604.\nAnswer: -13792.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + o - 8 = 0. Suppose 11 = 5*p - o. Suppose -3*z = -r - p*r - 29, 57 = 3*z + 3*r. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -40357 + 1?\nAnswer: -40356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 392, 786, 1178, 1568, 1956?\n\"Answer: -w**2 + 397*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123 = -39*z - 5*l - 131, 4*z + l + 133 - 105 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence upiu when four letters picked without replacement from jjjjrpuijuujjuj?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 77770.31mg in grams?\nAnswer: 77.77031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 - -1000000001?\nAnswer: 1000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.2 + 2.2. Let f = 0.7 + 0.3. Let x = n + f. What is the closest to 0.2 in x, 0, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 1)*(1 + 1 - 4) + 4 - 2 - 3 - 3 + 0 + 7)*(-4 - 2*b + 4).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 + 14*x - 15. Let a be g(-11). Suppose -2*f + 173 + a = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 6 + 0)*(-2 + 2 + 2*f)*(-109*f - 407*f - 345*f + 507*f) to the form t*f**2 + x*f + i and give t.\nAnswer: -4956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88248.93 nanograms to milligrams.\nAnswer: 0.08824893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0320636 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 - 9*t**2 + 21*t - 61. Let n be f(-7). Solve -4*w - 2*l = -2, l = -w - 38 + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6295110 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4267 is divided by 285?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11964 - -20667. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*x = -150*x + 299*x - 3627 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 3492360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -100101100100001 (base 2) in base 12?\nAnswer: -b169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(-18)*21\/(-7). Let k = -2 - -1.9. Which is the nearest to k?  (a) g  (b) -3  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 68*w**3 + 14*w**2 - 11*w + 11. Let g(d) = 23*d**3 + 5*d**2 - 4*d + 4. Let k(v) = 11*g(v) - 4*o(v). Let c be k(-1). Is 18 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 16*n**2 + 6*n. Let p be (2\/6)\/(-5 - 177\/(-36)). Let x be c(p). Let v = -71 + x. What is the highest common factor of 23 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -168945550 to the nearest one hundred thousand.\nAnswer: -168900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(539\/(-350)) - 8\/44. What is the second biggest value in -1.8, r, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/5 and 77\/26806.\nAnswer: 134030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-5 + (-4 + (5 + 4 + sqrt(448) - (sqrt(448)*4 - sqrt(448))*4))*-4))**2.\nAnswer: -440000*sqrt(7) + 21698825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 86*n**2 - 111*n + 4. Let x(f) = 57*f**2 - 74*f + 3. What is -5*k(a) + 7*x(a)?\nAnswer: -31*a**2 + 37*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 264 + 170?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1044338 and 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 x when two letters picked without replacement from {r: 3, o: 5, x: 1, n: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.07 - -7.93. Let w = -100969.9 - -100970. Which is the closest to 1?  (a) n  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -x**8\/210 - x**7\/30 - x**6\/45 + x**5\/10 - 5*x**3\/6 + x**2 + 9*x. Let r(t) be the second derivative of f(t). Factor r(k).\nAnswer: -4*k*(k + 1)*(k + 3)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -106950 by -465.\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fyyy when four letters picked without replacement from {z: 2, a: 3, s: 1, y: 4, f: 4, h: 6}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 + 2*w**2 - 3*w - 3. Let m be b(-2). Suppose 0 = -m*c - 2*c + 55. Is 9 a factor of (c\/(-22))\/(1\/(-32))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31.44765151 - -0.3\nAnswer: 31.74765151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*p*r**2 + 5*p*r + 2*p - 21*r**2 - 2*r + 14678 wrt r?\nAnswer: 26*p*r + 5*p - 42*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 168143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -182.07 + 184. Let b = 0.41 - x. Round b to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122 = -3*a - 2*n + 168, a + 3*n = 99. Suppose 0*q = 4*q + a. List the prime factors of q*(12\/8 + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -59958*s**4 - s**3 - 6616*s**2 + s wrt s?\nAnswer: -1438992*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**2*r\/(r\/r**(-13\/4))*r**(-16)*r*r**(-9\/5) assuming r is positive.\nAnswer: r**(-361\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 9*h**3 - 5*h**2 + 3*h - 1. What is the units digit of g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -406283621 * -2\nAnswer: 812567242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*-1*-6 + sqrt(121)*1*4)\/((sqrt(88) + (sqrt(88) - (-2*sqrt(88) - sqrt(88)))*-2)\/sqrt(8)).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -6*w - 2. List the prime factors of j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 5*x + 498, -5*b - 44 = x + 44. Is (8\/44 + x\/(-66))*39 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -33*p - 3. Let a(o) = 33*o + 4. Let h be (-5)\/(6 + (14 - 19)). Determine h*t(w) - 4*a(w).\nAnswer: 33*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 5:09 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/36*-3*-36. Find the first derivative of -4*m + q + 14*m - 4*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19e23 + -19?\nAnswer: -19e3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 153 = -87. Let c be 48 - (-6 + 9) - (2 + 1). What is the highest common factor of c and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 122299 - 82318. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 61 - 44. Let z(q) = m*q + 17*q + q + 29*q - 31. Let j be z(-5). What is j rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c. Let h(b) = -21*b. Let v(u) = 2*h(u) - 9*m(u). Let l(n) = -78*n**2 - 2*n + 2*n - 83*n**2 + 159*n**2. Determine v(l(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-88)\/(-165))\/((-4)\/60)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -739, -335, 97, 563, 1069, 1621, 2225, 2887?\n\"Answer: w**3 + 8*w**2 + 373*w - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2803 + -1930. Is u a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2911177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 655, 0.05, 0.8, -14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-560)\/32 - -16)\/(213\/(-6674)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-1))\/(-2)*24\/108?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2367\/5 + -470. Let t = x - 107\/30. Suppose 2*m - 12 = -0*m. Put -5, t, m in ascending order.\nAnswer: -5, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 80476659 by 14013.\nAnswer: 5743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1256 + 1256 + 5*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*b - 13, -5 = 2*b + 5. Suppose -z = 2*a + h*z - 329, 3*a + 5*z = 492. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*r + 43*r + 35. Let x(z) = 12*z + 2. Let i(n) = 6*n + 1. Let j = -14 + 7. Let g(q) = j*i(q) + 3*x(q). Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 550 and 32350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2910*z - 62670 = -821*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8533274.\nAnswer: 2, 4266637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148 = 4*w - 0*f + 4*f, -5*w - 185 = f. Let t = -35 - w. Solve 1 = -j - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**2 + 45*x + 23 = 0.\nAnswer: -1\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 + 94*u - 36. List the prime factors of b(-32).\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1180)\/105)\/(20\/(-50)) + -2*3\/63\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/11, -0.4, 0.25, -5, -2\/13, -0.1354?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-42)\/6*(1 + 0) + 1. What is the remainder when (-109)\/(-6) - (222\/36 + j) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -110639, -211183, -311727, -412271, -512815, -613359?\nAnswer: -713903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 2*d - 12 = -7*d, -5*s + 15 = 358*d - 361*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1323) + 1*sqrt(1323) + sqrt(1323) + sqrt(1323) + sqrt(1323))*-5)\/(sqrt(81)\/(sqrt(54)\/(sqrt(30)\/sqrt(5)))))**2.\nAnswer: 91875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*l**2 + 28*l**2 - 232*l**2 - 553*l**2.\nAnswer: -730*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -24, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 + 3*z**2 + 4*z - 6. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -312?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77766.03 nanoseconds to milliseconds.\nAnswer: 0.07776603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -24.2 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 3 + 0)*(0 + 2*o**4 + 0) + 3*o**4 - 3*o**4 - o**4)*(-76 + 118 - 58) to the form y*o + t*o**2 + u*o**3 + k + l*o**4 and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6.7 + 7. Let f(i) = i**2 - 5*i + 4. Let o be f(5). Suppose 15 = o*g - 1. Which is the nearest to 2?  (a) l  (b) 0.2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1, 4\/3, -5, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 less than -5234970?\nAnswer: -5234976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 + 25 = h. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/729)\/((-708)\/(-28674)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 0)*26\/91. Let m(g) = 7*g - 154. Let k be m(22). Let i = -0.06 - -2.06. Put 0.1, i, d, k in descending order.\nAnswer: i, 0.1, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 444 + -13549?\nAnswer: -13105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - 3. Let n = -18.6 - -19. What is the third smallest value in 3, m, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 5*a + 11, -5*l - 3*a + 43 = -0*a. Calculate the remainder when 21 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -13*q**3 - 13*q - 10. Let a(l) = -9*l**3 - 9*l - 7. Let b(d) = -d**3 + 20*d**2 + d - 27. Let x be b(20). Give x*a(w) + 5*c(w).\nAnswer: -2*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 greater than 14.068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -4*n - 100. Let t = n + 47. Suppose 0 = -f - 2*f + t. Calculate the greatest common divisor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1029*w**5 + 306789*w**4 - 28076076*w**3 + 489705360*w**2 + 30549508800*w - 262585152000 = 0.\nAnswer: -27, 8, 740\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -13*q + 1432. Let w be a(21). Calculate the greatest common factor of 366 and w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 47774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 167217 and 11540379.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*h - 63*h - g = 15, 25 = 5*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 889190.\nAnswer: 6224330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 13) to base 3.\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 7 + 6 + (1 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23023032 (base 4) to base 6.\nAnswer: -551530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.482 minus 20.87473?\nAnswer: -21.35673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -6\/13, -15, 11, 0.4, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, j: 3, y: 1}. Give prob of sequence uyuu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -9a (base 13) to base 8\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -10*l. Let d be o(2). Let w be (d\/8)\/(5\/(-4)). Suppose -3*n = 3*u + 3 - 228, 3*n = -w*u + 222. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -305896968*j**3*y + j**3 - j**2*y + 276460*j**2 - 17*j*y - 2*j + 3*y wrt j.\nAnswer: -1835381808*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11603950?\nAnswer: 2, 5, 232079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**3 - 2*o**2 - o - 2. Let l be m(2). Suppose -l*c + 3*c + 3 = 0. Calculate the highest common divisor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(108) + sqrt(108))*-3*-5 + -5.\nAnswer: -900*sqrt(3) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -493242 divided by 2\nAnswer: -246621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.02 and 583923.0259284.\nAnswer: 583923.0059284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 445078.49 to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -201*w + 205*w + 16, -2*z = 3*w + 12. What is the nearest to -1 in 4\/7, -7\/12, z, 0.3?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3019 is divided by 1497?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 + 6*x - 6. Let v be y(4). Let t(m) = m + 2 + 29*m**2 - m**3 + m - 11*m**2 - 15*m**v. Suppose 20 = -5*z, -f - z + 24 = -6*z. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 3\/28*o**4 - 15\/7*o**2 + 0*o - 36 + 9\/7*o**3. Factor z(f).\nAnswer: 3*f*(f - 1)*(f + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -5*n + d, 0 = -4*n - 0*d - 3*d + 53. Let j = 11 - n. Let t(y) = j*y**2 + 4*y**2 + 0*y**2 - y**2. Let i(v) = v**2. What is i(t(o))?\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**3 + z**2\/2 + 574*z. Let w(u) = 17*u + 3. Let t(b) = -4*b - 4. Let s be t(-3). Determine s*k(m) - 3*w(m).\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5*l = 9, -h - h + 3*l - 44 = 0. Let k = 13 + h. What is the common denominator of (-4026)\/(-108) - k\/27 and -83\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 + 4.5. Let v be 3\/3 + 0 + 25. Let i = v + -211\/8. Sort l, i, -5 in descending order.\nAnswer: i, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 321 - 315. Suppose -18 = -8*m + p. Solve m*j - 1 = -k + j, 5 = -4*k - 5*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3352 + 3391.2. Let v = 38.93 + 0.07. Let g = a - v. Are g and 0.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(19) - sqrt(171)\/(-2*sqrt(9))) - sqrt(2736)*2*6.\nAnswer: -297*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 85.19274t?\nAnswer: 85192740000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1600 and 4?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (430\/(-70) + 6)*-35. Solve -l*i - 9 = -4, 3*i = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -45 + 45. Let v be (-4 - (-5 - d)) + 62. Suppose 0*u + 3*u - 58 = 2*i, -3*u = -3*i - v. Calculate the remainder when 94 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 1141 + 215 = 4*u, -2*u - 4*v = -700. What is the remainder when u is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 3*y = -6*y - 37, 3*y - 3 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15181 + 49764. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -5 - (5 + (9 - 6) + -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 271 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.432877512 rounded to 3 decimal places?\nAnswer: 1.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 560529 - -2?\nAnswer: 560531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, f: 1, a: 2}. What is prob of sequence af?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1431540581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -55*n + 43. What is the units digit of b(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 + 12*o + 80. Give t(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 199 - 107. Let n = -115 + a. Let u = 52 + n. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 71548626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 5*i**2 + i. Let m(y) = 19*y**2 + 2153*y + 517. Let r(x) = -m(x) + 4*t(x). What is the derivative of r(v) wrt v?\nAnswer: 2*v - 2149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dcc when three letters picked without replacement from {h: 1, d: 3, l: 1, e: 3, c: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.652 + 1.552. What is the closest to r in -4, 1\/2, 0.1, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/3 + 29024*w\/3 - 105299072\/3.\nAnswer: -2*(w - 7256)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -129*f + 123*f + 18 = 0. Let d(w) be the first derivative of -11 + w**4 + 4\/3*w**f + 0*w - 4*w**2. Factor d(j).\nAnswer: 4*j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 5, -2, -58, 26, -4, -12 in descending order.\nAnswer: 26, 5, -2, -4, -10, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6494 is divided by 1191.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-50)\/60*(0 - 16\/(-15)). Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3*o = 37. Let f = -40 + o. What is f rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**3 - 48*z**2 + 84*z - 539. Let g(a) = -a**3 + 16*a**2 - 29*a + 180. Let s(r) = -11*g(r) - 4*m(r). What is the units digit of s(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 50*z**4 + 15319*z**3 - z - 19232562 wrt z.\nAnswer: 200*z**3 + 45957*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (3 + 0) - (26 + -25)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/(-3))\/((-4)\/(-66)) + 16. Calculate the greatest common divisor of x and 306.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 13\/80  (b) 1\/4  (c) -1\/2  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 83 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32560, -65695, -99400, -133681, -168544, -203995, -240040, -276685?\nAnswer: -313936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25401.25 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 22 = 34 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38384?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 60298*y + 2411917. Calculate m(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 18\/5, -2, -4, 7\/4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 43\/6, -3\/5 in increasing order.\nAnswer: -1, -3\/5, 43\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from iggigggggiiiiigigigg?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 5*y - 7968 = -3648. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 - 213*p**2 + 10*p - 2159. Calculate k(213).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46\/15 + 28\/5. Let t = h - 9. Which is the second smallest value?  (a) 4\/7  (b) 2\/29  (c) 5  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 - k + 1. Let l(m) = -m + 0 - 2*m**3 + 2 - 2*m. Let c(s) = -2*s + 6. Let g be c(7). What is g*q(n) + 3*l(n)?\nAnswer: 2*n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 57537307 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 134 = 3*t - 5*k, k = -2*t + 74. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 4. What is the common denominator of ((-71)\/(-8))\/(k + -1) and (9\/(-330)*-11)\/((-6)\/134)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72119777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1785065?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 5*q - c + 49, 0 = -2*q + c - 50. Which is smaller: -33 or q?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 491195?\nAnswer: 5, 31, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5103 and 2862054?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(-3 + 1)*1. Let c be y\/(-3)*(-5 - -2). Put c, -2\/7, 1\/3 in descending order.\nAnswer: c, 1\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/558 and 74\/33.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1120, -119, 1072, 2453, 4024, 5785, 7736?\nAnswer: 9877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -13103132 - -4?\nAnswer: -13103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*g + 80 = -70. Suppose 5*n = -2*v + 11, 62 = -v + g*v + n. Solve -j + 5 = -0*j + p, -2*p = 5*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -c**5\/300 + 7*c**4\/120 - c**3\/5 - 83*c**2. Solve l(i) = 0 for i.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3227)\/(-42) + (-2)\/(-12). Suppose 3*k - d - 118 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 10371077 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*i + 83 - 25*i + 2*i**2 - 3*i - 49.\nAnswer: 2*(i - 17)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*((sqrt(130) - (sqrt(130) - 3*sqrt(130)))*-4 + sqrt(130)))\/(sqrt(10) + sqrt(50)\/sqrt(5)*4 + sqrt(60)\/(sqrt(36)\/sqrt(6))).\nAnswer: 22*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ere when three letters picked without replacement from {e: 2, r: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 0. Suppose -3*i + 5*k + 15 = 0, 4*k - 1 + 13 = -i. Let m be 5 - v\/(i - -2). Let a(j) = -j**3 + 5*j**2 - j - 3. Determine a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3580 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 118691667 a multiple of 1769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -3550812020 to the nearest 1000000.\nAnswer: -3551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-9) + (-260)\/(-6). Suppose 0 = -3*x - 3*z + 330, x + 2*z = 5*z + 110. What is the greatest common factor of x and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1657 is divided by 790?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 + (-68640)\/(-1638) + (-3)\/((-4662)\/64).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/9456 and -101\/792?\nAnswer: 312048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -192400\/11 or -17492?\nAnswer: -17492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 249742 * 0.5.\nAnswer: 124871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**2 - u + 1. Let b be a(1). Let k be ((-26)\/(-12) + b)*1. Suppose -7*r - 17 = -10. Is k at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 188, 468, 748, 1028, 1308?\n\"Answer: 280*u - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q**2 - 74*q - 8. Let j(c) = -10*c**2 - 151*c - 16. Determine 7*b(m) - 3*j(m).\nAnswer: 2*m**2 - 65*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -12*h**2 + 26*h**2 + 18*h**2 - 7. Let n(q) = 11*q**2 - 148 - 49 + 233 - 38. Let g(p) = -2*c(p) + 7*n(p). Let w(l) = l. Give w(g(v)).\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 46\/5 of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/23 - -37 - 25\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 2. Let r = 4 + p. Solve -6 = -r*o, -2*o = a - 5*a - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 131, 150, 183, 230?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -8971 and -9009 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1448 is divided by 236?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2\/7 - 15002607*d\/7 - 2143230.\nAnswer: 3*(d - 5000870)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000371624 rounded to six dps?\nAnswer: 0.000372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1048533 + 417905 = -18*v + 572*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*15*6\/(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 1 - (-5 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 41\/(-82)*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/10641 and 2\/1077.\nAnswer: 3820119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1296763219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2254c (base 15) to base 16.\nAnswer: 1aa8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -5\/3, -48, -0.3.\nAnswer: -48, -5\/3, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33268.\nAnswer: 2, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12381 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13771, -27633, -41495, -55357, -69219, -83081?\nAnswer: -96943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + (71 + -146 - 24\/(-4))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -381 - -392. Solve 19 = -4*q + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10)*505\/5656.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2928 - -2930. Solve -k*l + 10*l + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i\/(i*i*i**(6\/7)*i*i))))**(1\/23)*(i\/(i*i\/i**(-8)))**(-40) assuming i is positive.\nAnswer: i**(57933\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2470189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/2)\/((-3)\/(-288)*(-10)\/(-5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 488 = -16*g + 20*g. Calculate the remainder when g is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of ((-48)\/2 - 2)*(21 + -46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bddbd.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 4*c - 43086, 5*c - 122*p - 53865 = -117*p. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*c - 11*c + 306. Let u = c + -148. Calculate the remainder when u is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -580, -587, -598, -613?\n\"Answer: -2*s**2 - s - 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-1938)\/((-2142)\/63)*2\/6\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fgn when three letters picked without replacement from ffffgwunf.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 4  (b) 5150.8  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5)*a)\/(a*a**0)*((a**(-6)*a)\/a)\/(a*a*a**4*a)*(((a*a**0)\/a*a)\/a*a)**(-24)*(a**(2\/7)\/a)**(1\/31) assuming a is positive.\nAnswer: a**(-40604\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/192 and -67\/5736?\nAnswer: 45888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-8)*(-8)\/3*(-1512)\/378?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 5*r**2 + 11*r + 6. Calculate y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -58*g**4 - 21?\nAnswer: -232*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 11*q - 88. Suppose 18*o + q = 16*o. Let s = 229 - o. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/13  (b) -1  (c) -1\/373\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36*o**3 + 733076*o**2 + 3*o + 9975198 wrt o?\nAnswer: -216*o + 1466152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 50*(-2 + (-9)\/(-6))\/1. Sort 2, 1, j in descending order.\nAnswer: 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 112672, 112668, 112662, 112654?\n\"Answer: -k**2 - k + 112674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -14\/9  (b) -8  (c) -2  (d) 2  (e) -226  (f) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111 - 136 = 13*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -714a + 1?\nAnswer: -7149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1213, -1277, -1387, -1543, -1745, -1993?\n\"Answer: -23*c**2 + 5*c - 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.142 - -179915?\nAnswer: 179914.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 1. Is (d - 5)*(-11)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z - 1 + 3 - 2 as r*z + y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, o: 4, i: 1, e: 1, c: 7, n: 1}. Give prob of picking 2 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x**2 - 9*x**2 - 7*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002593 rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ororgwozzr. What is prob of sequence gzwo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = 7*k - 141*d + 137*d, -k + 2*d - 19 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7898 plus -2.5158?\nAnswer: -7900.5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.68 + 46.68. Is a > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -326, -654, -982, -1310?\n\"Answer: -328*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**4\/5 + 577*q**3\/5 - 9796*q**2 - 100276*q\/5 = 0.\nAnswer: -2, 0, 106, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35112 divided by 154.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9b537 (base 15) to base 7.\nAnswer: 4125010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 - 6*v**2 + 25*v + 4. Suppose -653 = -14*h + 803. What is the remainder when h is divided by z(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-3*3\/198)\/(-23 + 38 + -17)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 21, -2, -117, -372, -815, -1494, -2457, -3752?\n\"Answer: -8*x**3 + 2*x**2 + 27*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1562, -3195, -4828, -6461?\nAnswer: -8094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54 + 36 - (22 + -1)) + 25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 12 + 14*c**2 - 117*c**2.\nAnswer: -103*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y**2. Let c(f) = 29*f. Give c(x(d)).\nAnswer: -87*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -24569 divided by 30?\nAnswer: -24569\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j + 7*j - 2 - 2*j)*(-4*j + 4*j + 2*j)*(-1 + 0 - 1) as n*j**2 + u*j + m and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 0*q + 0*q)*(-5*q**2 - 2*q**3 + 5*q**2) + (-21*q**2 - q**4 + q**3 + q + 21*q**2)*(-1 + 10 + 2).\nAnswer: -17*q**4 + 11*q**3 + 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a + 6*a**2 + 0*a - 118 + 5*a**2 + 17*a**4 + 125 to u*a**3 + m*a + i*a**4 + y*a**2 + q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.5  (b) -5  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and -0.2013437505?\nAnswer: 1.2013437505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -142 (base 14) to base 15.\nAnswer: -11e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 27*g**3 + g + 0*g + 57 - 52 to q*g**3 + u*g + d + p*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-38)\/((-6270)\/63) + (-4)\/22. Suppose 4*y + 5*j = -10, 6 = -2*y + j - 4*j. What is the nearest to 1 in y, 9, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 9*s**2 + 9*s - 7. Let q = 35 - 32. Let x(a) = -5*a**2 - 5*a + 4. Determine q*p(r) + 5*x(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/22673720 and -119\/40.\nAnswer: 22673720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -854 (base 14) to base 3.\nAnswer: -2020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -140*i - 21. Let s(h) = h + 1. Calculate 5*m(x) + 105*s(x).\nAnswer: -595*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j*j**1\/j*j*j**(-17)*(j*j**0\/j*j*j)\/j**7 assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 - 4*t**2 + t**2)*(26 + 34 - 42)*(-t**2 + 2*t - t - 2*t).\nAnswer: 144*t**4 + 144*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 0*j + 2*k + 26, 5*j - 25 = k. Solve -7 = j*l - 27 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmcccccccccccccccccc. What is prob of picking 3 c?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r**3 + 8*r**2 + r - 9. Let c be n(3). Calculate the remainder when 38 is divided by 4\/c - (-3)\/((-9)\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4, -3, 13, -8 in descending order.\nAnswer: 13, 6, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 2 + 0)*(996*i**2 - 2715*i**2 + 806*i**2)*(-3*i - i**2 + 3*i) as o*i + x*i**2 + n*i**3 + d + s*i**4 and give s.\nAnswer: 6391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 388968.59 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 76994*a*c**2 + 6*a*c - 31*a + 69 wrt c?\nAnswer: 153988*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*r + 2. Let q be (-10)\/r*16\/(-20). Suppose -q*g + 22 + 2 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 38 and 3825783?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the third derivative of -5*n**4\/12 - 22*n**3\/3 - 31*n**2. Is s(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*l**2 + 109*l**2 + 69*l**2 - 439*l**2.\nAnswer: -115*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4125 + 4901. Which is smaller: -2\/9 or b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*1\/(-8)*(-168)\/(119\/(-17))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -160 - -320. Calculate the least common multiple of f and 2*(-44)\/(-8)*1.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*m + 0*m - 2*m)*(16*m - 8*m + 4*m)*(-18 + 121 + 26) to the form r*m**2 + a*m + y and give r.\nAnswer: 3096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11160\/17113 + -69\/109. Let d = j - 335\/1099. Sort d, -0.9, 1 in decreasing order.\nAnswer: 1, d, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2203 divided by 4.\nAnswer: 2203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 121292657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 + 5*z - 2*z**4 + 4 - 33*z**2 + 33*z**2 in the form m*z**3 + h*z + a + p*z**2 + v*z**4 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1\/4, -2\/7, -0.5, -42\/19?\nAnswer: -42\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41455235 (base 6) to base 5.\nAnswer: -302031114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 1\/4, 0.08698, -0.5, 5 in descending order.\nAnswer: 5, 2\/7, 1\/4, 0.08698, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2284, -2286, -2288, -2290, -2292, -2294?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -93676 - -91840.28. Let a = h - -1835.7050066. Let v = -0.015 - a. What is v rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l - 8*l**2 + 30*l**2 + 3*l to q*l**2 + t + m*l and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/4)\/(b**(-3\/2)*b)*(b\/(b\/(b\/((b**(-1)\/b)\/b)*b)))**(-9\/11))\/((b**0)**29*(b**(1\/3))**(2\/73)) assuming b is positive.\nAnswer: b**(-32281\/9636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 19. Solve y = 4*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -24 - -6) + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -586*u + 128*u + 2290. Let t(l) be the third derivative of 0*l + 0*l**4 + 19\/3*l**3 + 0 + 0*l**u - 3\/10*l**6 + 10*l**2. Differentiate t(z) wrt z.\nAnswer: -108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -55*d - 4. What is the units digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -6*j + 39. Let s = -526 + 528. Suppose -s*m - 5*y + j = -31, m + 8 = 5*y. Solve -4*n - m = -0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 - 2*q**2 + 2*q**2)*(-q - 13058 - 12331 + 26104).\nAnswer: -2*q**3 + 1430*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 4*g**2 + 2*g + 2. Suppose 0 = 3*b + 26 - 11. Let n be (b\/1)\/(3\/(-6)). Let y = 6 - n. Determine c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*f - 2*f**2 - 1 - 51*f**4 + 33*f**4 - 3*f in the form u + n*f**3 + w*f**4 + l*f**2 + x*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-147))\/(10\/30)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Is 850 a factor of 41052450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**2 + 2*k**2 + 2*k**2 + (-2*k**2 + 3 - 3)*(3 - 4 - 1) + 37*k**2 + 3*k**2 + 8*k**2 to the form q + n*k**2 + v*k and give n.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 25243*m + 100998. Determine w(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 40 + 56*c + 47.\nAnswer: 56*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1340400 (base 6) in base 14?\nAnswer: -1d636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from haaphhhap. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4\/8 - 757*d**3\/4 - 11821*d**2\/2 + 25917*d - 26676 = 0. Calculate d.\nAnswer: -1482, -36, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 7*h**2 + h - 1. Let a(u) = -u**3 - 60*u**2 + 86*u + 1526. Let i be a(-61). Determine p(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -82, -167, -252, -337, -422?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 6.6 and -15350765990098?\nAnswer: 15350765990104.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6821, -10148, -13475?\n\"Answer: -3327*b - 3494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 60*j**2. Let v(z) = -4*z + 139. Determine x(v(q)).\nAnswer: 960*q**2 - 66720*q + 1159260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22640*f = -22696*f + 1848 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11001001010100110111 (base 2) in base 14?\nAnswer: -176743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 11:16 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3788.64 + 4022. Let s = w - 228. Let l = s - 0.56. Round l to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132851 is divided by 4201?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vlgvvvvff. Give prob of picking 1 g and 2 v.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = a - 481, 17 - 5 = -4*a. Let i(u) = -u**2 - 23*u - 31. Let p be i(-21). What is the greatest common factor of p and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -162 - -145. Which is the smallest value?  (a) o  (b) 2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighty-seven halves of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(153\/(-243))\/17. Let q = -6 - -5. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = -7*i + 5*i + 4, 4*i - 8 = 4*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 3 + 11)*(-2 + 1 - 2)*(-103 + 103 - 13*l) to u*l + g and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-10)*1*2. Let b = -44.78 - -43.78. What is the nearest to f in 0.025, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 9:29 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 94\/(-94)*(-9)\/198*2\/(-3).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*x = -412, 4*g - 561 = -3*x + 208. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 13*z**2 + 21*z - 8. Let t be f(-11). Solve 0 = -t*r - r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 5, -5.2948, -6.\nAnswer: -6, -5.2948, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) be the second derivative of -19*f**4\/24 - 2*f**3\/3 + 9*f**2\/2 + 9*f. Let x(y) be the first derivative of o(y). What are the prime factors of x(-2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 216393 and 5?\nAnswer: 1081965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20 - 20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/21620 and -73\/20?\nAnswer: 21620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*p - 409 + 96 = 671 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 504 - -311. Let a = -895.54 + c. Let p = -79 - a. Round p to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1197)\/(-741) + -100 + (-5)\/(-13)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (6*sqrt(720))**2 + 2 + (sqrt(245)*3*4 + 5)**2.\nAnswer: 840*sqrt(5) + 61231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 2 + -5 - (1 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -163567*n**5 + n**3 + 315287*n wrt n?\nAnswer: -3271340*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*l**4\/7 - 636*l**3\/7 + 32631*l**2\/7 - 280110*l\/7 + 662400\/7 = 0. Calculate l.\nAnswer: 5, 64, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/4 or 1\/65579?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 160 - 160 + 15798*m.\nAnswer: 15798*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 3 + (-10 - 1) + 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92656520?\nAnswer: 2, 5, 11, 31, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 432626113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 2:18 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2682488.4 months?\nAnswer: 223.5407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 252, 2\/9, 2, 1\/8, 0, -0.17 in increasing order.\nAnswer: -0.17, 0, 1\/8, 2\/9, 2, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -5*m + 3*a + 251, -2*a = 4*m - 214. What is the lowest common multiple of (-26)\/(-39)*(2 - (-2)\/2) and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/((-870)\/(-667))*(1 - -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -6, 18.\nAnswer: -6, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 1. Suppose -o*i - 3*l + 3 = -i, -4*i = 4*l - 44. Suppose -p = -5*b - 28, 5*p + 3*b = i + 41. What is the remainder when 37 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -649.27 + 647. Let a = -2.07 - f. What is the smallest value in -2\/3, 2\/13, a, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) 4.4  (c) 0.2  (d) 2  (e) 0  (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -17104044.5 to the nearest one thousand.\nAnswer: -17104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*h + 152554 = -2406. Calculate the greatest common divisor of 20 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 418*u**3 + 15*u**2 - 5*u + 10. Let z(w) = 418*w**3 + 18*w**2 - 6*w + 12. What is -6*i(s) + 5*z(s)?\nAnswer: -418*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26210307*l**3 - l**2 + 2562*l + 185 wrt l?\nAnswer: -157261842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(4*(((-20)\/16)\/(-5))\/(-1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 66828?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 11914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28049 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -666131\/6512 + 3780\/37. Calculate the common denominator of t and 81\/4.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -182?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4*d = -40, -7*h = -4*h - 3*d - 42. Let u(x) = -x**2 - 17*x - 21. What is the remainder when h is divided by u(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 218\/625737 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 3*q - 1 + (2*q - 2*q - 2*q)*(-1 - 3 + 3) + 243137 - 243137 - 5852*q in the form r + t*q and give t.\nAnswer: -5847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -34 - 29 + 26*o - 24 + 73. Let y(n) = 9*n - 5. Determine -3*k(d) + 8*y(d).\nAnswer: -6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 46738 - 8847. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3138.67 + 0.25.\nAnswer: -3138.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence syu when three letters picked without replacement from {v: 2, y: 1, w: 1, s: 2, n: 1, u: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of r**4\/24 - 3*r**2\/2 - 3. Let b(u) be the second derivative of s(u). Let w(j) = 2*j - 1 + 1. Calculate w(b(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 - t**2 + 3*t - 4. Let j be i(-3). What is the greatest common factor of j and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 14*n + 9. Let p be (1 + -3 + 2)\/(-3). Suppose p = 7*k - 28 + 7. Is l(k) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 9:43 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 784659128 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 960525 and 2700.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13191.\nAnswer: 3, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j*j*j*j*(j**(-1\/5)*j)\/j*j*j)*j*j*j**(-5\/6)*j assuming j is positive.\nAnswer: j**(-79\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -52, -154, -274, -424, -616, -862?\n\"Answer: -2*t**3 + 3*t**2 - 97*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 973839215 to the power of 1\/2, to the nearest integer?\nAnswer: 31206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 14331 = 11*l. Let f = l - 495. Calculate the remainder when f is divided by 88.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 16447  (b) -0.2  (c) -39  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 4)*(32*g + 2 + 76*g - 23*g).\nAnswer: -255*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 9. Let n = 16 + -7. Let q = -4 + n. What is the second smallest value in q, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -901.\nAnswer: 2\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -121 - -254. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((1*sqrt(117))\/sqrt(9) + 0) - ((sqrt(13) - (sqrt(13) - (sqrt(13) + -2))*-1) + (sqrt(65) + sqrt(65) + 1*sqrt(65))\/sqrt(5)))**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -3*r - 19. Let y = r - -23. What is the highest common factor of 100 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/14 and -39\/4150.\nAnswer: 29050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2515 - -17637\/7. Find the common denominator of 340\/550 - 2\/(-11) and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 535 is divided by (-786)\/(-18)*3 - -3.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - 3 - (-1254)\/(-57)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 116 and 1.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45138905 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 7*t**2 + 3*t. Suppose b - 57 = -3*k - 7, 0 = -4*b - k + 178. Calculate the lowest common multiple of g(-4) and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 0 - 1\/3*z**5 + 0*z + 0*z**2 - 1\/3*z**4 + 0*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 7*t**2 - 40*t - 6. What is b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 - 62*f**3 + 33*f**4 - 32*f**4 + 68*f**3 + 2*f + 0*f in the form y*f + a + o*f**3 + k*f**2 + l*f**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5*t = -299, -10*t - 8 = -6*t. Let v = -287 - g. Solve v*a + 2*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10812 and 61318456.\nAnswer: 3604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 0*d - 96. Suppose -3*r + 5*z + 22 = z, -r + 3*z + 9 = 0. Calculate the greatest common divisor of d and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33 - -213?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 10 = -2*a, 2533470*a - 5*s = 2533387*a + 289 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 20*g**2 + 24 - 70 + 22.\nAnswer: -20*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 12:28 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -60.2045567 + 60.207. What is m rounded to five decimal places?\nAnswer: 0.00244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 63\/12 + (-5)\/20. Let b be -1 + (p - -1) + -3. Find y, given that 9*y - y**b - 9*y = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3*(759\/4140 + 2\/(-8)) - -7. What is the nearest to -2 in 0.4, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -0.4, 3, 8, 14\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 0*u = 27. Let t = 19 + u. Suppose -4 = -s + t. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 17374235 and 34748470.\nAnswer: 34748470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 4 = -p. Let h(s) = -s + 13. Let q = 36 - 29. Let k be h(q). Solve 4*w = v + k, -5*v - 3*w = 8 - p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 37*c - 10. Let l(v) = 18*v - 5. Determine 9*l(i) - 4*m(i).\nAnswer: 14*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*o + 12. Suppose 3*g = -2*c + 8, 0 = -g + o*g - c + 4. Suppose g = -5*j + 1 + 24. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -443*f - 181. Let d be y(23). What is d rounded to the nearest one hundred?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 + 2 - 24*r + 25*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1067\/30 - 65\/2. What is the common denominator of l and 89\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 3*p = -165112, 5*j - 113759 - 92631 = 2*p. List the prime factors of j.\nAnswer: 2, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + h + 4*h)*(3255 + 18*h - 3255).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 241605444 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of g**5\/60 - g**3\/6 - 8*g**2 - 18. Let b(j) = -j**2 + 10*j + 4. Calculate b(y) + 3*p(y).\nAnswer: 2*y**2 + 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-2))\/((-2)\/5608*6). Let y = o - 5465\/24. What is the common denominator of 8\/27 and y?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 152902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 7*d - 179. Let c(y) = 13*y - 370. Calculate 9*b(g) - 4*c(g).\nAnswer: 11*g - 131","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 245*k - 392 = 244*k. Is 98 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + (-20 - (-2 - (13 - -10))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5024, -9842, -14660, -19478, -24296, -29114?\nAnswer: -33932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -12, 8, 0, -7, 46, 1 in ascending order.\nAnswer: -12, -7, 0, 1, 3, 8, 46","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 5*j - 2 = 2*d, 0 = 5*j + 4*d + 4. Suppose 5*g - 139 = 2*b, -2*g + j*g + 62 = -4*b. Let z be -3*(-3)\/(g\/(-6)). Sort z, 3, 0 in decreasing order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -66 - -68. What is the closest to 0.2 in -1\/7, -0.4, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 2930.\nAnswer: 1\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*p = 11*p + 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - -104. Suppose 0 = 186*p - 198*p + 144. What is the remainder when h is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/5, 0, 777, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 889?  (a) -0.3  (b) 16\/21  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2063031*v**3 + 46*v**2 + 32138 wrt v?\nAnswer: 12378186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1773149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w + 9. Let u be g(9). Let s(p) be the second derivative of -p**2 + 1\/12*p**4 + u + 0*p**3 + 2*p. What is the derivative of s(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/1*((-312)\/(-660))\/13.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 14 = -86*j + 81*j, 0 = 11*j - 3*t + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9*(-3)\/(-12))\/(16\/20*(-1140)\/(-64)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 19437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 2*h + 83. What is x(-31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -465*y + 468*y - 2*n - 6, 5*n = 15. Which is the second biggest value?  (a) 0.2  (b) y  (c) 11\/10  (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = 3*s - 183, 2155 - 1975 = 4*f + 3*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -9. Let i = 23847 + -119231\/5. What is the closest to -2\/7 in y, -3\/5, i?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2032 is divided by 341.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -171*n. Let t(y) = -3*y. Calculate t(j(u)).\nAnswer: 513*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -10651\nAnswer: -10656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 - 216*h.\nAnswer: -4*h*(h + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6477*h**2 + 2714*h**2 - 9612*h**2.\nAnswer: -13375*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 8:57 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3305*v**6 + 10*v**5*x + 2*v**2*x - 4*v**2 - 627*v*x + 7 wrt v?\nAnswer: -396600*v**3 + 600*v**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 232683 is divided by 1511.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/28)\/(4\/(-28)). Let g be (-15)\/(-10)*-2 - -5. Solve -g*n + z = -n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -2, -18, 5, 175 in decreasing order.\nAnswer: 175, 6, 5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -31, -66, -105, -142, -171?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5369, 5745, 6371, 7247, 8373, 9749, 11375?\n\"Answer: 125*o**2 + o + 5243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 234*u - 249*u - 90 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*g**3 - 10*g**2 + 10*g**2)*(-2 + 4 + 0) - 3*g**3 - 2*g + 5*g - 4 - g to the form a*g**2 + y*g**3 + k + x*g and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of a**4\/16 - a**3\/4 + 3*a**2\/8 - a\/4 - 7. Factor t(g).\nAnswer: (g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 6:40 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 6*u - 6 = 5*y, 3*y - 2 = -4*u. Let o be 4 + -3*(-6)\/(-9). Let d(n) = -1 + 5*n**2 - o*n - 4*n**2 + 4. Calculate d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.18, 1\/47944, -4 in increasing order.\nAnswer: -4, -0.18, 1\/47944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/3, -507 in decreasing order.\nAnswer: 2, 2\/3, -507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136099 is divided by 1296.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -826 - -1527. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67637 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2.11144204?\nAnswer: -0.88855796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 94912 and 12.\nAnswer: 284736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-4) + (-2 - (-6)\/12). Let t be (-23)\/(-7) + (-250)\/875. Solve -4*w + 4*d - 4 = 0, -t*w - 5*d + d - 17 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0\/1)\/(19 - 17). Suppose -3*r - 9 = 0, -2*q - 4*r + 726 = -o*r. What is the units digit of q\/7 + (-8)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24285*472\nAnswer: 11462520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 77011?\nAnswer: 3\/77011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -44820 in -99\/7, 2, 0?\nAnswer: -99\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/23, 0.5, 0.3, -2 in increasing order.\nAnswer: -2, -2\/23, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*j**2 + 3*j**2 - 5*j**2 + 12*j + 5*j**3 wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 1377 = 3*a, -5*v = 14*a - 10*a - 1825. Calculate the highest common divisor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1842245957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 799\/188*4*15\/120?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 35*d + 15 = -33*d, k - 5*d = -26 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from kkokoxgkkxkc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/12 and 65\/152457.\nAnswer: 609828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/162 - (-600)\/(-108)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 58467541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30480509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**3 - 13*o**2 + 11. List the prime factors of q(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 11:19 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/65 - -109\/455. Sort -1, -0.2, h in descending order.\nAnswer: h, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2032*n + 731*n - 7015 - 29413 = 0 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 14. Let s be l(0). Let u be (-9866)\/(-14) - 4\/s. What is the units digit of u\/30 + 1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -f**6\/15 + 11*f**4\/4 - 3735*f**2\/2 + 3229*f. Differentiate a(d) wrt d.\nAnswer: -8*d**3 + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + 10 - (9 + -8). Suppose 4*u - w*u = -120. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41431955*s**3*x**2*z**2 - 926*s**3 - 47*s**2*x**2 - 765*s*x**2*z + 2*x**2*z**2 wrt z?\nAnswer: -82863910*s**3*x**2 + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 381304 is divided by 1333?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**4\/4 + 36309*m**3\/8 + 4539*m**2\/2.\nAnswer: -3*m**2*(m - 6052)*(2*m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kylmtlllmmllyyytlm?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - 75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 4) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -33284, -8, 0.102 in increasing order.\nAnswer: -33284, -8, 0.102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 + 0.3. Let y = -0.06 - 0.14. Which is the nearest to u?  (a) 0.3  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2340143442 (base 5) to base 3.\nAnswer: -101011011221112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/7 + 901\/6188*4. What is the nearest to 2 in q, -2, 1\/41, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 4*q**4 - 96*q**3 - 1768*q**2 - 5664*q - 3996 = 0?\nAnswer: -9, -3, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63692 by 1449.\nAnswer: -63692\/1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -35*b**3*k**3*r**2 + 2*b**3 - 2*b**2*k**2*r**3 + 2*k**3*r**3 - 2*k**2*r**3 - 8*k*r**2 wrt k?\nAnswer: -210*b**3*r**2 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wvzvvzzvzwzvz. What is prob of sequence zzz?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q**2 + 17*q**2 - 3*q**2 - 4*q**2 - q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from accdtbtoa. What is prob of picking 1 c and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 141 + 2493?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 2*k**2 - 2*k. Let d(n) = 6*n**3 - 11*n**2 + 11*n. Give 2*d(p) + 11*z(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 - 26. Suppose -23*o = -18*o - 60. Suppose -h*t = -o*t + 200. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 - -21. What is the units digit of 39 + d\/(-4)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132061?\nAnswer: 41, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 84 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2*sqrt(5200) + sqrt(5200) + sqrt(5200) + 4)**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 90*v**2 - v. Let z be (-1)\/((-7)\/(-4) - 2). Let w = z + -3. Is k(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -153085, -153029, -152931, -152791?\n\"Answer: 21*p**2 - 7*p - 153099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -w**5\/60 + w**3 - 1. Let j(x) be the third derivative of r(x). Let z(s) = 6*s**2. Determine z(j(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-671 - -665) + 104\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**2 + 14*f. Let r be q(-7). Suppose r = -4*o + 7*o - 204. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -350*g. Let o(t) = -7968*t + 4. Give a(o(d)).\nAnswer: 2788800*d - 1400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -29*d**4 + 4*d**3 - 8850*d**2 - 41914162*d?\nAnswer: -348*d**2 + 24*d - 17700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18.3768 - -0.1468. Let n = 18 + s. Let m = -0.03 - n. Sort m, -0.2, -5\/4 in increasing order.\nAnswer: -5\/4, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*b + 4*k + 17, -2*b + 3 = k. Let y be 0 - (1578\/(-4) + b\/(-4)). Suppose 2*j - 1 + 3 = 0, -5*j + y = 4*u. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -765118 * -0.5\nAnswer: 382559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - (-1 + -2))*52. Suppose i = 7 + g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - h + 1. Let u(v) = 2*v**3 + 3*v**2 + 5*v - 4. Calculate u(i) + 3*z(i).\nAnswer: 2*i**3 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.041 + -0.03185. What is p rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36069 + 7115. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(490)*-2)\/sqrt(5).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**2 - 1168*l - 1107200 = 0.\nAnswer: -400, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 9:18 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/18 - -2*(-327)\/(-27). Suppose -c*g + 23*g - 11 = 0. Let w(k) = k**3 + 11*k**2 - 7. What is w(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6319184, 12638374, 18957566, 25276760, 31595956, 37915154?\nAnswer: 44234354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 13a93?\nAnswer: 13a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-7)*2408\/(-903).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23660 + 34457. Calculate the greatest common divisor of b and 549.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643.0661kg in grams?\nAnswer: 643066.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2562 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-8))\/(((-12)\/8)\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, x: 2, n: 4, c: 2, y: 2}. What is prob of sequence yncx?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -51, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6229 + 6232. Which is the smallest value?  (a) -1  (b) 0.1  (c) -6\/7  (d) -4  (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ihi when three letters picked without replacement from {i: 5, h: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 208007.\nAnswer: 1248042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**3 + 6*p**2 - 7*p + 4. Let q(x) = 5*x**3 + 17*x**2 - 20*x + 13. Calculate 11*i(u) - 4*q(u).\nAnswer: 2*u**3 - 2*u**2 + 3*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -153*k**3 + k**2 + 3*k + 4. Let r(a) = -306*a**3 + a**2 + 5*a + 7. Determine 3*r(f) - 5*z(f).\nAnswer: -153*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-29)\/(a\/((a\/(a**(-15\/4)\/a))\/a)) assuming a is positive.\nAnswer: a**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.4105 + -4187?\nAnswer: -4240.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -34259, -30720, -27179, -23636, -20091, -16544?\n\"Answer: r**2 + 3536*r - 37796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -353 and -802?\nAnswer: 283106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(21)\/(sqrt(7) - (sqrt(7) - -2*4*sqrt(7))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q**2\/5 + 1780203*q\/5 + 89010 = 0. Calculate q.\nAnswer: -148350, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 0.17  (c) 2\/7  (d) 0.4  (e) -137770\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that -136885058*g**4\/3 - 156723712*g**3 - 248996336*g**2\/3 + 88582144*g - 43729952\/3 = 0.\nAnswer: -2, 2338\/8273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -54 divided by -36\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7384981 decades in millennia?\nAnswer: 0.007384981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**2\/5 + 136*v\/5 - 2304\/5 = 0. What is v?\nAnswer: 32, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -17*v**2. Let k(s) = -4039713*s. Determine h(k(n)).\nAnswer: -277427779080273*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2552801, -10211240, -22975299, -40844972, -63820253, -91901136, -125087615, -163379684?\nAnswer: -206777337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n**3 + 10970*n**2 - 610920*n - 8902080 = 0. What is n?\nAnswer: -2248, -12, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (3 - -1) - 2\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/(o\/o**15)))\/o**5)\/(o**(-3\/11)*o)**(-1\/3))**32 assuming o is positive.\nAnswer: o**(-19808\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 (base 12) in base 15?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 8*t**2 + 4*t - 45. Is p(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11469 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**3 + q**2 + 4*q + 1. Let k(t) = t**3 - 7*t + 50349 - 50352 - t**2 - 5*t**3. Determine 3*k(v) + 5*u(v).\nAnswer: -2*v**3 + 2*v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of -g**4\/4 + 7*g**3\/3 - 7*g**2\/2 + 4*g - 13. Let l be w(6). What is the units digit of l - (-21)\/((-3)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1365*t - 3275 = -1370*t. What are the prime factors of t?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(171) + 1*sqrt(171)) - sqrt(171))*-4)\/((sqrt(144) + 1*sqrt(144))*-6 - sqrt(144))*-4*1.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 2\/5, -2, -403 in descending order.\nAnswer: 2\/5, -0.3, -2, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 4*y**2 + 6*y - 9. Let c be a(-5). Suppose -3600 = -69*s + c*s. Is s a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*k - 4*i - 3 - 5, -k + 10*i - 7*i + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4*u = -2642, -5*u = n - 6*n + 6590. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 - 9. Let t be 2\/(-1) - (1 - 0). Let o = 3 - t. Let d(f) = f - 6. Let c be d(o). Calculate r(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/13 >= 0.0166644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -52222  (b) 2\/15  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 651*q**3 - 2*q**2. Let g be l(2). Suppose -5*v + v = -g. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 246703\/22 + -11210. Suppose 3*f - 110 = -4*t, 4*t + 29 = 4*f - 71. What is the common denominator of ((-178)\/(-6))\/(f\/9) and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - g - 1. Let s(i) = 5*i**2 + 3*i + 3. Let v(k) = k**2 - 11*k - 3. Let y be v(11). Let m(x) = y*c(x) - s(x). Let b(u) = 45*u. Calculate b(m(t)).\nAnswer: -90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -508, -3650, -11806, -27364, -52712, -90238?\n\"Answer: -398*b**3 - 119*b**2 + b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -1, 5, 0 in decreasing order.\nAnswer: 8, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 1, 553.78, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3*b + 60 = -54, 3*x + 60 = b. Put 3, x, -2, 5, -5 in decreasing order.\nAnswer: 5, 3, -2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 11  (b) 48\/17  (c) -20  (d) -4  (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -394 - -5437. List the prime factors of i.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 38*o**4 + 7132*o**3 - 4952966.\nAnswer: 152*o**3 + 21396*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11958 - -5237533\nAnswer: 5249491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 701\/14 + -4\/7. Let h = 7 + -82. What is the common denominator of (h\/24)\/((-3)\/(-4)) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 536*y**3 - 2*y**2 + 2*y - 1. Is c(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -3*u + 10455, -167*b + 163*b = u - 3477. Does 43 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 24*k**3 + 69*k**2 - 3*k - 2. Let f(n) = 10*n**3 + 33*n**2 - n - 1. Calculate 7*f(l) - 3*r(l).\nAnswer: -2*l**3 + 24*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17 - 16. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/(3 - (-4)\/(-2)). Let t(m) = -4*m**2 + 8 - 3*m**2 + 5*m + 0*m**3 + m**3. Let o be t(r). Which is the third biggest value?  (a) 4\/5  (b) o  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1164 and ((-1605)\/(-963))\/(0 + 5\/54).\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -13*o**6\/6 - 5*o**3 + 15. What is the third derivative of a(d) wrt d?\nAnswer: -780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 15 = 0, -3*n = 4*k - 5247 + 5244 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/52 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*l + 3*f - 24, -2*l = -3*f - 2*f + 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 1. Let s(f) = -f**2 - 2*f + 4. Determine -s(t) + 4*w(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 4, 9, 198447.\nAnswer: 2, 3, 4, 9, 198447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11566, -23131, -34694, -46255, -57814, -69371, -80926?\nAnswer: -92479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*(-28)\/6*(-11)\/(-22). Let d(p) = 51*p**3 - 3*p**2 - 10*p + 45. Is d(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2 - 106*i - 300.\nAnswer: -2*(i + 3)*(i + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1279303*l + 2558621*l - 1279292*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = 2*x - 7. Is x at least -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2180 = 37*n - 1477 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.006 and -0.04?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2385415*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 100570 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25802, -51680, -77558, -103436, -129314, -155192?\nAnswer: -181070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 5*g + 201, 3*g - 3*p + 531 = 420 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, -22, -52, -82, -112, -142?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s**2 + 8*s**2 - 10*s**2 - 2*s**2 - s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 10:47 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10598 + -9306. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 552694 and 13?\nAnswer: 7185022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 2. Suppose -d + 11 = 4*x - 0*d, 5*x - 19 = -3*d. Suppose 0 = x*a + 17 - 11. Is r less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 8 = 2. Let v(f) = -23*f + 2. List the prime factors of v(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 1 - -5) + -5 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of -4*j**3 + 1\/4*j**4 + 0*j - 1 + 18*j**2. Factor q(v).\nAnswer: v*(v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.09734 to three dps.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-1 - 0) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/48*(30\/5)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 - (24\/2)\/4. Solve -t - p*t - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 562.1072m?\nAnswer: 562107.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*p**2 - 2*p**2 + 2*p**2)*(-1 - 3 + 2) + 0*p**2 - 2*p**2 + p**2)*(18*p**2 + p + 1 - 3 - 13*p**2).\nAnswer: 35*p**4 + 7*p**3 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - 3*s**2 + 5*s - 3. Suppose 8*a = 3*a + 3*x + 6, -2*a - 9 = -5*x. Let o be z(a). What is the highest common divisor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 163370888*p**2\/13 - 36152*p\/13 + 2\/13 = 0.\nAnswer: 1\/9038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -869 + 869. Which is smaller: 509 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 93 = 5*q - 2*c, -5*c + 150 = 5*q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 19, 10, -1, -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 966*x**2 + 3*x + 4. Let m be z(-1). Let a = 936 + m. What are the prime factors of a?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3 - 5. Let d(z) = z**2 + z - 7. Let s be d(-4). Which is the nearest to j?  (a) 1  (b) s  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 857, 860, 863, 866?\n\"Answer: 3*b + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -281 + 169. Let r = 117 + x. Let d(t) = 5 - t**2 + 6 - 2 - r*t - 7. Calculate d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -167 - -293. Find the common denominator of 13\/2 and ((-364)\/z)\/((-2)\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 3*t**3\/4 - 2351*t**2\/4 - 144595*t\/4 - 47937\/4 = 0.\nAnswer: -57, -1\/3, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 5551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 5) + (-3 + 0 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*p + 3*z + 35, 3*z = 3*p - 99. What is the common denominator of (-6)\/12 + 136\/p and 134\/60 + 4\/(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 90660.62t?\nAnswer: 90660620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -364 (base 7) in base 10?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -0.08?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -972 divided by 6.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3)*r*r*r\/r**5)\/(r**1)**(-24) assuming r is positive.\nAnswer: r**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*g + 187*g = -20*c + 69 + 35, 3*g + 12 = 5*g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 7*f. Let r(b) = 41 - 18 + 115*b - 117*b. What is r(s(u))?\nAnswer: -14*u + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -117*n**2 + 56*n**2 + 7 + 21 + 62*n**2 - 6*n**2.\nAnswer: -5*n**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -655, 5, -1, 3, -3 in descending order.\nAnswer: 5, 3, -1, -3, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/1773 in 3, -309, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(5 - 3 - 0\/5). Let j = 875 - 874. Solve -5*b + w*b = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 33 and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -13125510, -26251017, -39376524?\n\"Answer: -13125507*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265710669 + 3*f**3 + 531421380 - 265710711.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + b = b. What is the closest to 2\/3 in 5, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 - 5*p + 8. Let z(l) = 2*l**2 + 9*l - 15. Let j be (18\/12)\/(2\/(-4)). Let i(g) = j*z(g) - 5*b(g). Determine i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 2*b**4\/11 - 240*b**3\/11 - 244*b**2\/11 + 240*b\/11 + 22 = 0.\nAnswer: -1, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*l**3 + 5*l**3 + 3 - 4*l**3 + 2 as v*l**3 + x + m*l**2 + s*l and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 3*m + 3024 = 4*q, 5*m = -20. Suppose -t - 2 = t, -2*k - t + q = 0. What is k rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2114*s**2 - s - 2. Let l(g) = g. What is n(l(o))?\nAnswer: -2114*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2317 - -294261\/127. Which is the second smallest value?  (a) 3  (b) -5  (c) -4  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 2:36 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 270006*a + 598270 wrt a?\nAnswer: 270006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from arrra.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20695303, 41390601, 62085899, 82781197?\nAnswer: 103476495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 4:09 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4308*o + 46118 - 7346 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 403\/53 or -2077?\nAnswer: 403\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5a - -28?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {q: 2, e: 2, w: 6, s: 3, u: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, k: 8, m: 1, x: 3, b: 4}. Give prob of picking 1 m, 1 t, and 1 k.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-98 + 98 + z + (-3 + 5 + 3)*(0*z - 2*z + 0*z))*(-43*z**3 - 463*z**2 + 463*z**2) in the form c*z**4 + p + k*z**3 + a*z**2 + r*z and give c.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -141 + 87. Let w be 1 - (z\/(-5))\/6. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c - 37f7?\nAnswer: -37eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229468 is divided by 1452.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -16 + 10. Let v(m) = -m + 3. Let k be v(g). Let h(j) = -6 + 19 - 12*j - 5*j**3 + 12*j**k + 5*j**3 - j**3. Calculate h(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 3*q**2 - q + 4. Give p(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - j + 4. Let v be b(0). Let q(t) = 2*t - 4 + t + t**3 - 8*t**2 + 0*t. Let k(o) = -o**2. Let p(i) = -4*k(i) + q(i). Give p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4 + 128*z**3 + 1248*z**2 + 3584*z + 3136.\nAnswer: 4*(z + 2)**2*(z + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8555\/87)\/59*21.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -19 and 20142.2.\nAnswer: -382701.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 100284*j - 1905755. Determine b(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 at least 14.796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from zzzrrrggzzzzrrddrrz?\nAnswer: 56\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 6*a**2 - 3*a + 6. Let s be f(-5). Let r be (s + 5)*(2 - -6). Let i(g) = -2*g + 9*g + 5 - r*g. What is i(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 2326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.02 - 0.22. Which is the nearest to i?  (a) 4  (b) 0.2  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -4*a**2 - 4*a + 7. Let d be y(-6). Let l = 121 + d. Solve -2*u = -l - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 34*w + 820. Let p(r) = -618*r**2. Calculate g(p(y)).\nAnswer: -21012*y**2 + 820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63009944*t**4 - 1935223*t?\nAnswer: 756119328*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t*((t*(t**(-9)\/t)\/t*t*t)\/t)\/t))\/t)\/t**10)\/((t*t**(-1)*t)\/t**(1\/2)) assuming t is positive.\nAnswer: t**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1302.90005917 - -1302.9. What is l rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3960 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, -0.4, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 557 = -1874 + 391. What is the least common multiple of h and 108?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 1697017950?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d - 435 + 1947. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -49, -1, 3, -12\/13, 0.1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/12)\/((2035\/(-10))\/(-37))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 368 = -g - 4*g, 0 = l + 5*g - 117. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qvvqqqqvqqqqqqqqvqqq. What is prob of sequence qvv?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 - 26. Let t be 17 - -1 - (-2 + 4). What is the highest common divisor of l and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -344 - -346. What is the hundreds digit of ((-3717)\/(-6) + -1)\/(1\/p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-6) - 28\/8. Calculate the common denominator of -3*a\/(-90)*31 and ((-20)\/48)\/(4\/(-90)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 3  (b) 0.2  (c) 4  (d) -2  (e) 7  (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57 - (-21 + 115 + 22).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 49486*c**2. Let z(n) = 4*n. Calculate z(b(g)).\nAnswer: 197944*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1645248 and 37.\nAnswer: -60874176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5 - 10*h + 13*h**2 - h**3 + 0*h**2 - 2*h**2. Let z(i) = 13*i + 114. Let l be z(-8). Let f be q(l). Solve 0*m = -f*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.09, -0.13, 1\/36, 62?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -11*a**2 + a + 29. Let y(t) = 4*t**2 - 10. Let l(j) = 3*b(j) + 8*y(j). Let n be l(5). Let g(r) = r. Determine g(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*c*i**3*o**2 + 5*c*i**2*o - 7*i**4*o + 9*i**3*o**3 + 2*i**2*o**3 + i*o**3 - 41*o**3 wrt i?\nAnswer: 54*c*o**2 - 168*i*o + 54*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -6. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 + 0 + -5 + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -270*w + 53. Let z(l) = -536*l + 104. Let j(x) = -5*v(x) + 3*z(x). What is the tens digit of j(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**5\/((z\/z**13)\/z))\/(((z*z**(-1\/39)*z)\/z*z)\/z**(-8)))**24 assuming z is positive.\nAnswer: z**(2504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 43  (b) -2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 160, 660, 1492, 2656, 4152, 5980?\nAnswer: 8140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -31*q**2. Let h(b) = 29*b**2 + 6*b. Let z(m) = 65*m**2 + 13*m. Let p(n) = 13*h(n) - 6*z(n). Give p(o(l)).\nAnswer: -12493*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 5*r + 0*r + 1)*(-26*r - 1 + 1)*(2 - 4 - 6)*(-2 + 0 + 0).\nAnswer: -416*r**2 - 416*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/11, -27, -0.5, -9, 3\/20, 2\/63?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 44 + -49 + -3 + -9 - (4 - 5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -8*k**3 + 4*k**2 + 7*k - 4. What is y(-2)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 1:09 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**2 - 5*f - 154. What is g(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*s - 2*s - 3*s)*((2 - 2 + 2 + (4 - 7 + 1)*(0 + 1 - 3))*(0 - 4 + 2) + (0 + 21 + 12)*(-4 - 3 + 0)) as r + k*s and give k.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1915 + 1935. Calculate the least common multiple of b and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 20*c + 193. What is z(-38)?\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 28604238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -36 + 95. Suppose -63*k + o*k + 192 = 0. Calculate the greatest common divisor of 24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*o, -2*o = -4*i + o - 121. Let x = i + 52. Suppose x + 50 = g. List the prime factors of g.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 4122*x - 12489. Calculate l(3).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63839770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-1)\/(-1))*6\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1314, 5240, 11786, 20952?\nAnswer: 32738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -20*o + 25*o + 4990, -o - 4982 = -2*q. Calculate the greatest common divisor of q and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10117455763 to three decimal places.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -65093*w**4 - 2*w + 6404?\nAnswer: -781116*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00052884853 to 6 decimal places.\nAnswer: 0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/21)\/y)\/(y\/(y\/(y\/((y*y\/(y*y**(1\/3)*y*y*y*y*y))\/y*y*y)))))\/(y**(1\/13)*(y\/y**(-12))\/y) assuming y is positive.\nAnswer: y**(-1580\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -z - 24. Let d(y) = -y**2 - 3*y + 7. Let f(a) = -a - 1. Let p(h) = d(h) + 4*f(h). Let u be p(z). Solve -4*o - u - 11 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:50 PM and 7:18 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1427 and 67007639?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -27*(-8)\/12*6\/4. Suppose -20*h + t*h = 91. Solve 0 = p - h + 15 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14212 - 303?\nAnswer: 13404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/72 and -179\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2074176 and 1385.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 25156 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-2\/5)*i)**(-19)*(i\/((i\/i**(-3\/11))\/i*i))\/(i*i*i*((i*i**(-22)*i*i*i)\/i)\/i*i*i*i) assuming i is positive.\nAnswer: i**(128\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 5*m - 3*l + 1885 = 0, -4*l = -2*m + 1920. Is m\/12 - (-3)\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -515599074 divided by -1?\nAnswer: 515599074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 153 divide 1046416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -256*b + 0 - 244*b + 0 - 229*b + 614*b.\nAnswer: -115*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (160*f**3 - 160*f**3 + 8*f**5)*(4 - 2 + 0) + (0*f**3 + 3*f**3 - 4*f**3)*(-f**2 + 2*f**2 - 14*f**2).\nAnswer: 29*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - z - 4 = 14, 2*z = 0. Let s(t) be the first derivative of -11*t**2\/2 - t - 1. Calculate the remainder when s(-1) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**3 + 4. Let u be y(0). Suppose 6*a - u*a = 880. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o + 3*k + 18, -17*k + 52*k = 4*o - 272 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + t + 244 = 0, -w + 0 = 3*t - 88. What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1767141 - -1066.\nAnswer: 1768207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are 12 and 0.13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 164 - 98. Suppose 19 = 2*l - 23. Let t be (-8099)\/(-49) - 6\/l. Calculate the greatest common divisor of r and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q + 7916*q**2 + 2*q - 2538*q**2 - 2685*q**2 - 2692*q**2 + 0*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssp when four letters picked without replacement from {p: 3, j: 3, s: 12}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6280 = -5*l + 3*c, 2*l - 3*c + 4*c = 2512. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -143 + 0*t + t**4 - 3*t - 2*t**2 + 144 to the form n*t**2 + b*t**3 + k + w*t + p*t**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (2 - (-1 - -17))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-18))\/((-136)\/153)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -57*l**2 + 3194*l - 117. Give m(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 30*i**2. Let o(u) = 23*u**2 + 2*u + 4. Let g(y) = 4*y**2 - y - 2. Let x(n) = 2*g(n) + o(n). Give 4*a(s) - 3*x(s).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -94 + 26. Let k = m + -12. Let s = 0 - k. Sort s, 1, -1 in descending order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7*f**2 + 1. Let x be 5 - 2 - (1 - 0). Let u be -1*((-4)\/(-2))\/x. Let o be (u + 4 + -2)\/1. Determine s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*c - g - 33, -8 = -4*g. Let x be 1\/c + 23941\/9. What is x rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -2*b - 9, -40 = 5*b + 2*g - 7*g for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o**2 + 12*o + 13. Let d be v(6). Let m = 168 - d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 0) + (14 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*r**3 + 23*r**3 - 10*r**3)*(95 - 142 - 165).\nAnswer: -1060*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -217*j**5\/60 + 11*j**3 - 29*j**2 - j. Differentiate z(r) with respect to r.\nAnswer: -434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-29)\/((-1160)\/48)*(-5)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 7) to base 13\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -159 or 113136?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -214, 5, 1, -2, 0.\nAnswer: -214, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1892 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 7*b**2 - 16*b - 14. Let t(q) = -6*q**2 + 15*q + 14. Let l(k) = 5*g(k) + 6*t(k). Let x be l(11). What is the smallest value in -4, x, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (2 + -1 + (1 - 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.862301ml in litres?\nAnswer: 0.006862301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 13457*t - 5. Let b(q) = -3351*q + 1. Give -9*b(m) - 2*w(m).\nAnswer: 3245*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9228.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -5*v**6\/6 + 37*v**5\/5 - 11*v**4 - 148*v**3\/3 + 112*v**2 - 64*v - 534. Solve l(u) = 0.\nAnswer: -2, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18, -36, -68, -120, -198, -308, -456, -648?\n\"Answer: -g**3 - g**2 - 8*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 6474832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 912\/210 + 8\/10 and 53\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 4 + -3 + 6 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 18. Which is the closest to 0?  (a) 0.1  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in 3.3, -6, -0.1074?\nAnswer: -0.1074","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1098662.\nAnswer: 2, 549331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*d**3 - d**2 + d**2)*(-1 - 4 + 3) + 9984 + 207*d**3 - 9984 to the form z*d**3 + w*d + r + o*d**2 and give z.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3650442?\nAnswer: 2, 3, 43, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 780, 1\/77135, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 13 = -2*s, 0 = -0*s + 3*s - 3*d - 12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/4 of a decade?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2382.4 - -2343.4. Is b less than -125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*x + 1187, 2*x - 5*x = f - 389. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -362.\nAnswer: 5\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 513579 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 58*h - 3. Let k be (((-4)\/(-3))\/(-2))\/((-10)\/45). What is the tens digit of n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6095 divided by -1573\nAnswer: 6095\/1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*a + y + 4*y, 4*a - 3*y = 24. Suppose 0 = -4*v + 20, 27 = -a*p - v + 4*v. Is (1 + p)*((-1211 - 4) + 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/(-15)*222\/8 and 18 - -3*12042\/(-1980).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85, 96, 29, -116, -339, -640, -1019?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 6, h: 2, t: 3, y: 2, o: 2, v: 3}. What is prob of sequence ov?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 498*g - 124 + 275 + 1104 = -737 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*i - 14*i + 2*i**2 + 62 + 6*i + 0 + 37 in the form b*i + a*i**2 + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**4 + 2 - 2 + (2*v - 3*v**3 + 2*v - 3*v)*(-6*v - 6*v + 4*v) as x*v**4 + o*v**2 + y + h*v**3 + s*v and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3214*q - 1045 - 586 + 355 - 3213*q to y + c*q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 21*g - 15. Find the third derivative of -1 + y**3 - 159*y**2 - g - 4*y**3 + 2 wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - v**2 - v + 3. Let j be u(0). Let x(h) = -2 - h**2 - j - 3*h + 0 - 2*h. Suppose 11 = -13*w - 54. Calculate x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/8 of a second in milliseconds?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + 1 + 1326 + -1387 + (22 - 0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, r: 2, b: 1, c: 2, x: 1, s: 1}. Give prob of sequence rb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141 - 2*w + 2*w**3 + 2*w.\nAnswer: 2*w**3 + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 278 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from {k: 7, g: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38292 + 36695 - 74978 + 7*k**2.\nAnswer: 7*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-54) - 32\/18. Let l(z) = 43*z**2 - z - 2. Let b be l(r). Suppose 4*v - b = 40. What are the prime factors of v?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -1244.\nAnswer: -1\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 302479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (14 + -11 + -7)*(-375833)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (5*sqrt(2448)*-1 + -2*(sqrt(2448) - (1 + sqrt(2448))))**2.\nAnswer: -240*sqrt(17) + 61206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + 2 - ((-29 - -68) + -35 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4844, -21914, -50478, -90536?\nAnswer: -142088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119434, 238860, 358298, 477754, 597234, 716744, 836290?\nAnswer: 955878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 30045707 to the nearest integer?\nAnswer: 5481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 1602*p**2 + 16*p - 45. Let d be h(-9). Suppose 12*k + 17313 = d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -9. Let w = b + 5.9. Let c be 6\/16*260\/(-195). What is the second biggest value in w, -2\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45892 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 8*s**2 + 12*s - 20. Let k be p(6). Let g be 183\/4 + (-4 - 85\/k). List the prime factors of 3\/(((-3)\/(-18))\/(g\/6)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -62*a**3 + 28*a**2. Let n(b) = 63*b**3 - 29*b**2. Let o = -14 + 16. Let i(f) = o*m(f) + 3*n(f). What is the third derivative of i(t) wrt t?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, 2, 4 in descending order.\nAnswer: 4, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -27099, -27097, -27093, -27087, -27079, -27069?\n\"Answer: c**2 - c - 27099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2137, -16459, -42959, -81637?\nAnswer: -132493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + t - 7 = 0, 4*b - 4*t + 7 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1956192.\nAnswer: 1\/978096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 294*h**2 - 7*h + 3. Let l(i) = -5*i. Let o(v) = v. Let p(y) = -l(y) - 6*o(y). Let t(b) = -3*p(b) + u(b). Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*n**2 - 238*n**2 + 119*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.32433 - 0.32433. Which is the closest to -4?  (a) t  (b) -0.5  (c) -0.4  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**5\/20 + d**3\/6 - 2*d**2 + 49. Let y(r) be the first derivative of -r**2 - 35. Determine t(y(g)).\nAnswer: 12*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/11722805 and 43\/25790171.\nAnswer: 128950855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r\/r**(-7)*r))*r*r\/(r*r**(-13)\/r*r))**(-2\/15) assuming r is positive.\nAnswer: r**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 53 = -55. Suppose -3*f = w - 21, 0 = -3*w + f + 2*f + x. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 335290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204159 is divided by 3046.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 230634180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 15, 3*z - 2*d - 2 = 4. Suppose z = -m - 2*m. Suppose 20 = 4*y - m*y. Solve -8 = 2*t + y*j, -5*t + 10 = -3*t - 4*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1339694820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 4 + 6)*(3 + 3 + 3)*(r + 3*r - r)*(-r**2 - 4*r**2 + 4*r**2).\nAnswer: 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 235528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4501 divided by -224\nAnswer: 643\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by 454?\nAnswer: -11\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -8405.95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 0) + 2 + (-4 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2 = 4*o. Suppose 0 = -2*x - 2*x - 12. Let r(p) = -p**2 - 3*p + 3. Let m be r(x). Sort o, m, -1 in descending order.\nAnswer: m, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1185144 by 226.\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 3*s**5 + 30*s**4 + 87*s**3 + 96*s**2 + 36*s = 0.\nAnswer: -6, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 186 - 183 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2)*(11*l + 11*l - 30*l) - 3 - 2*l + 3.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92232)\/39312 - 10\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2275)\/(-70)*(-26)\/65.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 33.6 and -2.08?\nAnswer: -69.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -2855 (base 10) to base 16\nAnswer: -b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -663, -1340, -2031, -2742, -3479, -4248?\nAnswer: -5055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, c: 7, h: 2}. Give prob of picking 1 c and 1 h.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 853 divide 5718968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8711906 to the nearest integer?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2592 + 2402. Let b = -3099075390.0000079 + 3099075200. Let u = n - b. What is u rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -62*u**2. Let x(j) = 2*j + 0*j - j. What is v(x(p))?\nAnswer: -62*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t + 2. Let x be k(-3). Let n be (2 - -3) + (x - 1). Suppose -2*j - n*j = 0. Which is the second biggest value?  (a) -1  (b) j  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64, 163, 276, 409, 568, 759, 988, 1261?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6 less than or equal to 75\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 8. Let l = 148.6 + 7.4. Let z = -122 + l. Which is the nearest to -0.1?  (a) 0.1  (b) m  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000781485 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -104\/5131 or 0?\nAnswer: -104\/5131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s**2 + 21*s - 12. Give v(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-50)\/225 - -1*2\/90. What is the second smallest value in 4, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -617179 or -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -94158*m + 2. Let q(v) = 7*v. Determine i(q(z)).\nAnswer: -659106*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o**3 - 17*o**2 - 6*o - 3. Let g(r) = -4*r**2 - 12*r + 2. Let w be g(-4). Is s(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4237249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13512*h + 21*h**2 - 60*h**2 + 24*h**2 + 17*h**2 + (-4*h + 5*h - 3*h)*(0*h + h + h) + 2 + h**2 - 2 + 4 - h**2 - 4.\nAnswer: -2*h**2 - 13512*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 - 13*f)*(-9 + 1 + 3)*(-3 - 3 + 5).\nAnswer: -65*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - 10*t**2 - 10*t. Let j be u(-9). Let k(b) = 1 - 2*b**2 - 8*b**2 + j*b**2 + 0*b**2 + 10*b. Let s be k(10). Sort s, 3, -4 in increasing order.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82659.8 millennia to years.\nAnswer: 82659800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*n - 5 = 10*l - 30*n, -4*l - 5*n + 29 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*r - 8*r - 5*r + 8*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (2 + 12\/(-18)). Which is smaller: 67 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -3*v - 18, -4*w - 364 + 350 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 80  (b) -4  (c) 3\/7  (d) -20  (e) 2\/9  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 254.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2095 - 2091. What is the third smallest value in -13.1, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 - 308\/80)\/(1\/4). Solve 0*g**4 + i*g**3 - 3\/5*g**5 + 0 + 0*g + 0*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -314, 3, -1, -3.\nAnswer: -314, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 236*j = 240*j + 32, 3*g - 4*j = 38 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 6*h**3 - 528*h**2 + 519*h + 212. Give b(87).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 8 = 3. Let o(b) = -b + 9. Let q be o(x). Solve 0 = -h - q*j - 20, -j - 2*j = 4*h + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**2 + 1. Suppose -6*d + 20 = -2*d. Suppose d = 4*s + 1. Let z(x) = x**2 + 0 + 1 + x**2 - 2*x. Give s*z(q) + k(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 - 7*k**2 - 6*k - 3. Let p be g(-6). Let d = 4 + -3. Let v = 1.37 - 1.37. What is the closest to v in -2, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43174 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 5*k**2 - 5*k + 14. Let n be s(2). Which is the second biggest value?  (a) -0.3  (b) 2\/5  (c) n  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 6:36 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 112625.\nAnswer: -22525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 549 = 8*r + 189. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 386 + -264. Let f = o - 29. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46965?\nAnswer: 3, 5, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2623 to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -337 and -0.3.\nAnswer: 101.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 79883105 take away -1769657?\nAnswer: 81652762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let s(n) = 9*n**2 - 109*n + 16. Let h be s(12). Let g = -6 + 7. Suppose 3*u - 4 = -g. What is the greatest common divisor of u and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 110, 220, 330?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -112.226 - -0.226. Let g = 108 + i. Let o(m) = m**2 + 12*m - 3. Let w be o(-12). Which is the fourth smallest value?  (a) w  (b) 5  (c) g  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -14341628?\nAnswer: -14341627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10938 or -207808\/19?\nAnswer: -10938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b*p**2*s**3*t + 72*b*p**2*s**3 - 6*b*p*s**2*t + 14*b*p*t + 2*p**2 wrt s?\nAnswer: -12*b*p**2*t + 432*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s**4 + 1339528*s**3 + 9376556*s**2 + 18753032*s + 10716000 = 0. What is s?\nAnswer: -334875, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (11 - 8 + 1)*(-j**3 - 4 + 4) + (0*j + 0*j - j)*(-1 + 1 - j**2) in the form d + b*j**3 + a*j**2 + n*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2237 - -77?\nAnswer: -21b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 9:36 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -572?\nAnswer: -56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 3*d = 13, -3*h + 12 = -3*d + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/17  (b) -2\/13  (c) 3\/4  (d) -4  (e) 1\/4  (f) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - (-3 - (3 - -48))) + -67 + 52\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + sqrt(8))**2*3 - (3 + sqrt(2450) + sqrt(50)).\nAnswer: -40*sqrt(2) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g**3 + 1530*g**2\/7 + 1924*g\/7 - 2160\/7 = 0. Calculate g.\nAnswer: -108, -2, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 53 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 2*b + 195 = 0. Let m = 55 - b. What is the smallest common multiple of m and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes before 11:26 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 440 is divided by 130.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + 40*a**2 - 86*a + 381. Determine l(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 18*x + 15*x - 331 = 0, 9*x + 9 = 0. What is the smallest common multiple of f and 128?\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v**2 - 2. Let s(i) = -2*i**2 + i - 3. Calculate 3*s(u) - 4*w(u).\nAnswer: 2*u**2 + 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f + 23. Let m be a(-11). Suppose r = 35 + m. What is the highest common divisor of r and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 PM and 11:49 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*n**3 + 40*n**2 - 22*n**2 + n**3 to the form t*n + r*n**2 + m + i*n**3 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -35 + 53. Let o = -16 + h. Let z(y) = 3*y - y + y**3 - 3*y**o - 19 + 17. Give z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*y = -4*y - 2, -4 = 5*t - 3*y. Let z = t + 2. Suppose q - 6*q + 2*g + 91 = z, 4*q - 3*g = 70. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -63, -387, 0, 1, 4 in ascending order.\nAnswer: -387, -63, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2020, -2029, 5 in decreasing order.\nAnswer: 5, -2020, -2029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -34106087495 from -0.1.\nAnswer: 34106087494.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of 5*a**3\/6 + 3*a**2\/2 - 3*a. Let z be n(3). Suppose 3*h + 5*q - 82 = 0, 4*h - 2*h - z = 4*q. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-108)\/231*(-238)\/153.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*g - 1 = -8, 0 = -4*b + 3*g + 23. Suppose 0*x - 175 = -b*x. Solve 4*y - 3*n = 0, -4*y = -9*y - 5*n + x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 550\/14 + (-4)\/14 is divided by 63*((-16)\/216)\/(26\/(-39))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -l**3\/3 + 5*l**2\/2 + 3*l - 2. Let u be q(6). Is 14 a factor of u*(-3)\/(9\/22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1244385797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((5\/3)\/((-4105)\/9852))\/(1*46).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/4601266 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -8*h - 20\/3*h**2 + 48 - 2\/3*h**3 = 0?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + d + 4)*(3 + 2*d - 3) - 1 + 1 - d**2 + 4*d**2 - 2*d**2 + 0*d**2 - 2*d + 2*d + d**2)*(53 - 8 + 4).\nAnswer: 196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 - 3*s**2 - s + 2*s)*(5*s - 5*s + s**2).\nAnswer: -5*s**4 + s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23490481466 - 61.2.\nAnswer: 23490481404.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - 0 - (4 - (-32)\/(-4)). Suppose p*t = -3*w - w + 205, 125 = 2*t + 5*w. Suppose 0 = t*d - 73*d - 20. Solve -2 = s - 4*z, -s + d = -6*s - 5*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117)*1 - sqrt(117))*3 + sqrt(117) + sqrt(117))\/(sqrt(9) + sqrt(144)*-2 + sqrt(9)).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + f + 0 + 1)*(2 - 2 + 1).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*(i*i*i**(-1\/36)\/i*i)\/i)\/(i**(-4\/21)*i) assuming i is positive.\nAnswer: i**(545\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 915 and 2013.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6034, 6037, 6040, 6043?\n\"Answer: 3*g + 6031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -466716*m + 70560 = -465996*m for m.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*o = 75 + 75. What is the remainder when 66 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3132 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: What is the millions digit of 598846326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 + 6 + 11)*(-2*o - 2*o - o)*(-1 + 2 + 2)*(0*o**4 + 0*o**4 + o**4).\nAnswer: -570*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 0*t - 20, 2*t - 40 = -5*d. Let f = -11 + d. Let s(a) be the second derivative of -a**4\/12 - 5*a**3\/6 + 3*a**2 - a. Calculate s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83007498.\nAnswer: 2, 3, 7, 17, 116257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 25 - 17. Suppose -a - 43 = -4*u, -3*u - 5*a = -31 + 16. Let q = u - s. What is the remainder when 7 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 486.419 and -2.6598?\nAnswer: 489.0788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 555704191\/2 < 277852096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 + -39. Let v(z) = -z**3 + z. Let d(f) = f**3 - 5*f. Determine c*v(j) + d(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 761, 687, 613, 539?\n\"Answer: -74*k + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2070716, -5, 2, 6 in increasing order.\nAnswer: -5, 2, 6, 2070716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 2*q + 2. Let c be f(-2). Suppose -c*w - 3 + 7 = 0. Let l = -112 - -115. Solve w*i + 0*i = l*y - 4, -6 = 3*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6546898 or -6546899?\nAnswer: -6546899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 256951229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/(-3))\/((-1)\/18). Let d be ((-6)\/h)\/((-8)\/(-9)). Is d less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.5, -0.59, -0.1956 in descending order.\nAnswer: 0.5, -0.1956, -0.3, -0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*h + 57*h - 27*h = -4*t - 31, 5*t + 3*h + 32 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 14, u: 5}. What is prob of sequence uhu?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13001.\nAnswer: 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -65562046, -131124079, -196686112, -262248145?\n\"Answer: -65562033*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6101\/4 + -1504. Find the common denominator of s and (47\/39)\/((-6)\/(-9)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 10:32 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 251300 and 616.\nAnswer: 5528600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 4. Let i = 3 + q. Suppose 0 = -4*j - 12, 3*r - j + i*j = -15. What is the nearest to 0.1 in 1\/4, 1, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 184265617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11763 + 12177. What is the highest common factor of 72 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q = 306 - 34. Let a be ((-18)\/8)\/((408\/320)\/q). Let g(v) = 1440*v + 100. Let c be g(a). What is c rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1216) + ((sqrt(1216)*1 - sqrt(1216))**2 - sqrt(1216)) + sqrt(19)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 481006 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of -h**7\/42 + 71*h**6\/40 - 563*h**5\/20 + 3415*h**4\/24 + 275*h**3 + 7425*h**2. Find c, given that l(c) = 0.\nAnswer: -2\/5, 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:20 AM and 11:37 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2451463776.\nAnswer: 2, 3, 401, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19 - -16. Let y = m + 10. Calculate the remainder when 20 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-794 - 40*k + 794)*(0*k**2 + k**2 - 2*k**2 + 36) to the form z*k**2 + r*k + a + s*k**3 and give r.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/(-18)*34\/(-2) and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 110 = -3*n, -m - 4*n + 58 = m. What is the derivative of -108*o - 25 - m + 137*o - 12 wrt o?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3 + 6433*y**2 + 38571*y + 57843.\nAnswer: (y + 3)**2*(y + 6427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 110716 and 620756?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqsasqapq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -3*o**4 - 2*o**2 + o - 1. Let a(u) = -2605*u**4 + 21*u**2 + 4*u + 42. Let w(m) = a(m) - 4*z(m). What is the third derivative of w(c) wrt c?\nAnswer: -62232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (0 - (4 + 2) - (-8 - -7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 121 - 46. What is the remainder when k is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 153*g + 150*g = -167337, 4*v = 2*g + 167342. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 526 - 5773\/11. Find the common denominator of i and -63\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 3*c + 34 - 12.\nAnswer: 3*c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in twenty-six fifths of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 > -25\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 0. Let b = q - 1. Let s(l) = -l**2 + 9*l + 7. Let a be s(10). Is a >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*o - 13 = v, -4*v = -4*o - 12. Suppose -v = 3*n - 10. Suppose n*q = 2*q + 2. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -2350*o. Let g(m) = 27*m. Calculate -175*g(z) - 2*k(z).\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f - 7. Calculate n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1545576435?\nAnswer: 3, 5, 13, 47, 67, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5709689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5887 - -8341. Suppose -3*v = q + 4*q - 4090, -3*q - 5*v + l = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34 - -23 - (-1 - (-9 + 6))) + 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2. Let s(a) = -3*a + 8*a - 3 - 8*a - 13*a - 15*a. Let t(r) = -8*r - 1. Let g(o) = 6*s(o) - 22*t(o). What is g(h(p))?\nAnswer: 20*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39 + (-12 - 5) - 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**4 + 4*s**4 - 4*s**4 - 6*s**4 + 2*s**4 + 3*s**4 + (s**3 + s**3 - s**3)*(-7*s + 2*s + 3*s) + 4*s**3 - 4*s**3 + 4*s**4.\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 - 213*k - 414.\nAnswer: -3*(k + 2)*(k + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -31, -7 in descending order.\nAnswer: 1, -1, -7, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**2 + 3*x + 6. Let d be w(-3). Let y = 4 - d. Let h = 7 + y. Solve 5*r = -h*n + 40, n - 2*r + 1 = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((10\/(-4))\/(-5))\/((-61)\/(2440\/100)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 64?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 866 divide 2057110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 575*n - 3 = 572*n. Are -15\/41 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 2*y + 20. Let b be c(-9). Suppose x - 45 + 15 = b*j, 5*x - 164 = -4*j. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2015 - -2111. Do 957\/10 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 7*j - 5*k + 1634, 1618 = 3*j + k. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54309 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -3. Let v be (-5)\/j*6\/(-5). What is the third derivative of -v*w**2 - 2*w**4 + 6*w**3 - 6*w**3 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 4 + 4)*(1770 - 4144 + 0*k**4 + 2*k**4) as w*k**2 + d*k**3 + t + z*k**4 + m*k and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32.05 - 0.05. Let d = v - 33. What is the nearest to d in 0, -4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -276254291 by 3.\nAnswer: -276254291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -197\/840 and -59\/2772?\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 419*s - 22534. Determine n(55).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -328 = -2*h - 322, 32 = 2*m - 2*h. Solve v + 3*a = 2, m*v - 18*v - 7 = 2*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -10*g + 368. Suppose g*l - 32*l - 12 = 0. Let -2\/15*j**3 + 0 - 2\/5*j**l + 0*j = 0. What is j?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1330 + 12a?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1089 - -0.0089. What is the nearest to -2 in c, -1\/8, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-8 - (-3 + -7)) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a*a**27)*a)\/a**(21\/2) assuming a is positive.\nAnswer: a**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 PM and 9:26 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o. Let g(d) be the third derivative of -3*d**5\/20 - 2*d**2 - 121. Give v(g(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 93\/2, 2\/3, 9, -2, -2\/13?\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(-65))\/(4\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/12 and (-36668)\/(-137676) - 51\/187.\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46.194 * -0.1\nAnswer: 4.6194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**9\/((o**(1\/15)\/o)\/o))**(-12)*(o**(-1\/3))**(-36)\/(o**(-1))**(-1\/7) assuming o is positive.\nAnswer: o**(-4177\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -89d6 - 25?\nAnswer: -8a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -268 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-6))\/((-1)\/(-2)). Let m = -4 + 6. Let a = 11 + -12. What is the closest to a in k, 3, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccttctt. What is prob of picking 1 c and 2 t?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 18175.87 years?\nAnswer: 1817.587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 341 - 314. Let u be ((-15)\/i + 1)\/((-6)\/(-27)). Solve -u*x + 5*x - 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 8*d**2 - 3*d - 3. Let j = 21 + -18. Let f(l) = -8*l**2 + 2*l + 2. Let s(q) = j*f(q) + 2*w(q). Let g(p) = -2*p. What is g(s(a))?\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - (2 - (0 - -2)). Suppose 4*v - 9 = -2*k - 1, k + 3*v - f = 0. What is the remainder when 33 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z + z - 11*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1601208 is divided by 352.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 4 + 7 + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the second derivative of 11*q**3\/6 + q**2\/2 - q. Let x(k) = -2*k**2 + 10*k + 2. Let u be x(5). Is z(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -4*p**2 + 5*p**2 + 12*p - 7*p + 3. Let u(z) = 3*z**3 - 25*z**2 + 29*z - 11. Let r be u(7). What is a(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -1\/4  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5\/2 - 2. What is the second biggest value in 0.3, -0.5, x, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.427 and 0.5?\nAnswer: -4.2135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 205176 (base 15) to base 14.\nAnswer: 2bda77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - 10*p - 13. Suppose 4 = y - 7. Let w be z(y). Let a be ((-1)\/w)\/((-8)\/(-64)). Solve -a*h - 12 = 2*l, 2*l + 3*h = -0*h - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9813*r**2 + 1407*r - 1 wrt r.\nAnswer: -19626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 152 + -83. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 18 = -48. Let k = -5 - y. Solve -k*v - 5*f - 20 = 0, 0 = -2*v + v + 4*f + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 90*i**2 + 21*i + 5. Let h(d) = -18*d**2 - 4*d - 1. Determine 11*h(k) + 2*y(k).\nAnswer: -18*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7129.\nAnswer: 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -92.3 - -92. Let l = -5 - -2. Let d = 2.007 + -1.97. What is the third smallest value in -3\/2, v, l, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (-5 - -9 - -7 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -20559 (base 11) to base 2\nAnswer: -111010011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 47442510?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 135, 18, -46 in descending order.\nAnswer: 135, 18, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of -1\/260*d**6 + 0*d - 13*d**2 + 17\/156*d**4 + 8\/39*d**3 - 11\/195*d**5 + 0. Suppose w(b) = 0. Calculate b.\nAnswer: -8, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that b**3\/4 + 13*b**2\/2 + 111*b\/4 + 63\/2 = 0.\nAnswer: -21, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 15) to base 8.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the third derivative of -349*m**6\/120 - 53*m**5\/20 - m**3\/6 + 15*m**2 + 3. Find the third derivative of z(b) wrt b.\nAnswer: -2094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30.5 + -31. Let i be (-1)\/3 - 323\/57. Which is the smallest value?  (a) 5  (b) g  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**2*d)**(-2\/21)*d**14*d**4 assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26353 and 10735.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74.33111 seconds to milliseconds.\nAnswer: 74331.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.713 + -0.077. Let o = u - -0.79000037. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358949936 is divided by 1297?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.4.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**9*g**0)**(-24))**41 assuming g is positive.\nAnswer: g**(-8856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-9)*-2 + ((-25674)\/54)\/(-11). What is the highest common divisor of g and 2107?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 35\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(5) + 2 + (sqrt(5)*1*-6 + sqrt(5))**2 - (-2*(sqrt(15)\/sqrt(3)*6 - sqrt(5)))**2.\nAnswer: -372 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(3\/5)*b\/((b\/b**(-2\/13))\/b))\/(b**(-5)\/(b*b**(1\/8))))**(-6\/17) assuming b is positive.\nAnswer: b**(-11811\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -37 + 32. Let u be (2\/g)\/((-2)\/10). Suppose -3*c + 1252 = -u*c - 5*n, 4*c = -5*n + 5033. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -7. Let l(f) = 48*f + 6. Let u(z) = -95*z - 13. Let w(v) = -5*l(v) - 2*u(v). What are the prime factors of w(c)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from teetetttetee.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f*y**2 - 1111602*f + 2131*y**2 - 172*y with respect to y.\nAnswer: 2*f*y + 4262*y - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -428719704 divided by 4?\nAnswer: -107179926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 58200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r + 3*r - 6*r + 456 + 591 + r to the form n*r + a and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*m**3 + 1\/2*m**4 + 49\/2 - 42*m + 11*m**2.\nAnswer: (m - 1)**2*(m + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(132)\/(sqrt(108)*-2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b. Let w(d) = 3*d + 2. Let l(q) = 2*q - 10. Let o(p) = l(p) + 5*w(p). Determine o(y(f)).\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 5*t - 6 = 0, -t - 4*t - 12 = -4*c. Let r be (c - (-200)\/(-66))*(-12 - -2). Let v = r - 64\/429. What is the third biggest value in -4, v, 3, 2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (725\/(-20) + 6)\/(2\/(-8)). Calculate the highest common factor of 55 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**4\/17 - 117124*u**3\/17 + 1711939392*u**2\/17 + 82448914180*u\/17 - 84160736450\/17 = 0. Calculate u.\nAnswer: -49, 1, 29305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2840.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 371640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -309*g + 307*g - 25 = -5*a, 5*a = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 2:41 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/38, 15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 less than 15.41140835?\nAnswer: 85.41140835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -6*b**3 + b**2 + 4*b - 2. Suppose 3 = -a - 2. Let h(g) = 11*g**3 - 3*g**2 - 7*g + 4. Let c(q) = a*y(q) - 3*h(q). Factor c(u).\nAnswer: -(u - 1)**2*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-74)\/333)\/((-5)\/(-3)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5798 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 + -91 - 11*-1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90\/(-440)*(-2)\/(-9)*12?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 96 and 19613424?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - -12. Calculate the smallest common multiple of 2 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4505 equal to -4508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12027322*v**4 - 1979290*v - 4?\nAnswer: -144327864*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73310 = -3497*y + 136510 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115 = -3*f - 25. What is the greatest common divisor of 90 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 4. Let y(r) be the first derivative of 4\/5*r**5 + 1 + 0*r + 2*r**d + 0*r**3 + 0*r**4. Find the second derivative of y(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-2)*-1 + 37107\/(-10602)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(475) + sqrt(475) + -1)**2 - sqrt(475)) + sqrt(475) - sqrt(475).\nAnswer: -25*sqrt(19) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/4)\/(-1)*-2. Let a = 14 + -6. Let w = a + c. Solve t + 4*t = w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l + 245. Let f(t) = 20*t - 5*t - 21*t - t**2 + 6*t. What is w(f(i))?\nAnswer: -3*i**2 + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1041466 + 0.0347?\nAnswer: 1041466.0347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 4*f**2 + 1\/3*f**4 + 2*f**3 + 0 + 4*f. Determine o so that s(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 92*j - 355. Let h(w) = 129*w - 532. Give -7*d(r) + 5*h(r).\nAnswer: r - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 3*u**2 + 7*u + 8. What is the remainder when b(-4) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(2) + -1) + (sqrt(98)*2 - sqrt(98)))**2.\nAnswer: 24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73022*i*w**2 - 1614*i*w + 2*i - 38*w**3 - 6*w**2 - 78178 wrt w?\nAnswer: -146044*i - 228*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -58.108 - -58. Let t = v - 0.092. Which is the closest to 1?  (a) 0.5  (b) t  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -31\/12  (b) -2\/5  (c) -5  (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 4:47 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - j. List the prime factors of j - -3 - (0 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 11:36 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g + 92*g - 585076 = 0. List the prime factors of g.\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 12, e: 2, f: 3, t: 1, u: 1}. What is prob of sequence jteu?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 694 - 1389\/2. Let u = 1.5 - -0.5. What is the closest to c in u, 2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*s + 13*s - 17*s in the form x*s + y and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/112 and 19\/140.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3325 (base 8) in base 3?\nAnswer: -2101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 0*j - 8 = 0. Suppose -5 = -j*u - 1. Factor -8 - u*t**3 + 8 - 2*t**2.\nAnswer: -2*t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 - 10*g + 9. Determine t(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-738)\/(-9) + 0\/3. Let c = d - 49. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48773333443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -77*k + 2. Let m be u(-1). Let g = 144 - m. What is the highest common divisor of 26 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmammimmmmmm. What is prob of sequence ai?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-4)\/40*-5*4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 63795379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -14240 divided by 8\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 36644561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -308, -645, -1590, -3461, -6576, -11253, -17810?\nAnswer: -26565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -15100154*-0.1\nAnswer: 1510015.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v - 60 = 20*v. Let q(d) = -7*d**2 - d. Let k(f) = 3*f**2. Calculate v*k(r) - 2*q(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 7*s - 235. Let g be z(34). Suppose 3*y - y = -5*a + 13, -g*y - 5*a + 7 = 0. Let h(t) = 4. Let p(i) = -i - 6. Determine y*h(u) - 4*p(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -736*n + 103. Give b(0).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -321 = a - 320 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -4153?\nAnswer: 8\/4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 5*n - 10*n. Let t = n + 4. Let g = -1 + 1. Put g, 5, t in increasing order.\nAnswer: t, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 108.\nAnswer: -5\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11342*c**2\/15 + 201902*c\/3 - 2136\/5.\nAnswer: -2*(c - 89)*(5671*c - 36)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39539, -157892, -355139, -631274, -986291, -1420184, -1932947, -2524574?\nAnswer: -3195059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53 - -106. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 176 + -171. Let z(b) = b**2 - 20*b - 18. Let u be z(21). Solve -h = -5*i + 10, c*h + 2*i - 40 = -u*i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.1*-142277.1.\nAnswer: 441059.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7.9 - -7.3. Which is the nearest to 1?  (a) 1\/3  (b) 2\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -250*h - 199*h + 5464 + 6687 + 3115 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 9*c - 12. What is the tens digit of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2754 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: Solve -6 = b - 4*v, -230 - 193 = -94*v - 235 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7a6 + -8?\nAnswer: 79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -w - 796, -3*w + 20 = 2*w. Let f = z - 571. List the prime factors of f.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.4 + 1.4. Let f = -1 + 6. Let g = f + t. Which is the third smallest value?  (a) -2\/11  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2610 + 13531. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*c - 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 193614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, t: 2, n: 4, e: 1, h: 2}. Give prob of picking 1 e and 2 h.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**5\/60 + q**4\/6 - 5*q**3\/6 + 1168*q**2 - 2. Let x = -9 - -4. Give v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 3*t + 121 = 0, -x + 24665 = 28*t + 25842 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p**2 - 2*p + 2. Let m(x) = x**2 - x + 1. Let v(r) = -5*i(r) + 10*m(r). Let t(z) be the third derivative of -z**5\/20 - 49*z**2. Determine v(t(k)).\nAnswer: -45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 488380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 3*v - 150 = -3*o, 154 = 3*o + 5*v. Let p = 60 - o. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75594150 is divided by 234?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00624 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -8. Is 10 a factor of (x + -21)\/(2 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106, -112, -110, -94, -58, 4, 98, 230?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4*l**2 + 11*l - 26. What is r(-6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c + 24. Let r(n) = -4*n - 47. Let z(x) = -7*q(x) - 4*r(x). What is the smallest common multiple of 236 and z(0)?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 38*o**2 - 34*o + 5. Let u be x(1). What is the highest common divisor of u and 282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/11669061 or 1?\nAnswer: -55\/11669061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*z**2 + 264 - 264.\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 867 and 901?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -546*q - 36*q**2 + 37*q**2 - q**3 + 566*q.\nAnswer: -q*(q - 5)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -99  (b) 3  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -5886.\nAnswer: 1\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 + 8.3. Let y = 0.7 - h. Let f = 0.4 + -0.3. Which is the nearest to 1?  (a) f  (b) y  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5147 + 2814. Let r = -916 - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 2:01 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1780 = w + 508. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**2 - 16*g + 14. Let y(z) = -z + 1. Let t(v) = c(v) - 10*y(v). Let r be t(4). Let k = r - 12. Solve -i - 3*i = k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -q + 8, 5*q = 5*j + 1349 - 1354 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2*(-12)\/(-8))\/(-3). Let f(h) = h**3 - h**2 + 2*h - 1. What is the lowest common multiple of f(z) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aqaqoqoqqcacaaqqaqa. Give prob of picking 1 q and 1 o.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 >= 1810\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) 5\/2  (c) 3  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 352.0381 + -0.0381. Let v = 538 - o. Let d = v - 186.0169. What is d rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/6 + 20\/(-12). Let y be 18\/6*(s + 2). Suppose g + 2 = y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -61462*w*x**2 + 11467*w - 14*x**2 - 112*x wrt x.\nAnswer: -122924*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71992735?\nAnswer: 5, 14398547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*f**2 + 5*f**2 + 2*f**3)*(2 + 5*f**2 - 2) - f**5 + 2*f**5 + f**5.\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18095 + -18093.3. Which is the fourth biggest value?  (a) 0.3  (b) n  (c) 1\/4  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*s + 1995 = 1007 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 418 - 417.5. Which is the nearest to -0.06?  (a) 1  (b) -1  (c) z  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 566647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 7*q**2 - 6*q + 3. Let u be s(6). Suppose -3*x + x + 6 = -u*f, 0 = 3*x - 3*f - 6. Let n = 274159 + -274156. Solve n = p - x*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54c (base 14) to base 10\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 4*a = -16, b = -3*b + a + 15. Suppose 2*v + f - 7 = 0, -4*v + 2*v + 4 = 4*f. Suppose b*c = -0 + v. Solve 2*o = -c + 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddfddffdddddfddd. Give prob of picking 4 d.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.035*-444\nAnswer: 15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -71*n + 4*n + 1340. Let v = -51 - -34. Let z = v - -37. What is the greatest common factor of z and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 12 = 4*d - 13, -2*s - 4*d = -22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 6*p**2 - 4*p + 4. Let x be r(3). Let s = x - 6. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 12:51 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 814 + -813.999964048. Round s to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/33 and 49\/156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-15))\/(1\/5). Let a be ((-2)\/1)\/((-2)\/c). Suppose a*b - 15 = -4*m + 17, -2*m - 2 = -b. Solve 4*o = -h + 8*o + b, -2*h - o = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1001102201 (base 3) to base 16\nAnswer: 50f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 4:33 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3445264\/11 < 313207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (2 + -3) - (38 - 37)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 1, -418 in increasing order.\nAnswer: -418, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 170376797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14.34 + -1.24. Let v = -3.9 - y. Let k = -16.9999996 - v. Round k to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-27)\/2 + 14)*158\/1. What is the second smallest value in -2\/11, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*m - 35*m + m**3 + 18*m.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3111?\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52\/5 + 8\/5*m**3 + 214\/5*m**2 + 154\/5*m.\nAnswer: 2*(m + 1)*(m + 26)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 4*i + v, v + 9 = -15*i + 13*i. Let m be i\/(-10) - (-29)\/((-3045)\/72). What is the closest to -2 in -1\/17, m, -2\/15, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2  (b) 7  (c) -0.06  (d) -97  (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 81.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475403399.\nAnswer: 23, 43, 557, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 11:57 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 9:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 50*(-11)\/(-220)*6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 6:57 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, e: 6, n: 5, w: 1}. What is prob of picking 1 w, 1 n, and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1835\/4 - 435. Calculate the common denominator of -75\/28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*m**3 + 34*m**3 - 71*m**3 - 45*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -1\/72*d**4 - 1\/9*d**3 + 2*d**2 + 0 + 0*d + 1\/36*d**6 + 11\/180*d**5. Find p such that k(p) = 0.\nAnswer: -1, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.5 * -0.1\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 (base 10) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ggogggllilogllo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24455 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11*(66 - 33480\/495)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -11, -15, -15, -11?\n\"Answer: 2*x**2 - 10*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y**2 - 22*y + 4. Let j(b) = -22*b**2 + 43*b - 10. Let s(h) = -3*j(h) - 7*o(h). Find the second derivative of s(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/9, -877, 0.15, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + x = -n + 1, -4*n + 22 = -2*x. Suppose 3*d = 5*g + 827, n*d - 1093 = 2*g - 5*g. What are the prime factors of d?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1389499046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.7 - 32.7. Is v at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36139, 35595, 35051, 34507?\nAnswer: 33963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154 and 377993?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5275 divided by 1055\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*a + 3*a - 4130. Let j = 296 + a. Sort 3, j, 0.3 in decreasing order.\nAnswer: 3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140) + sqrt(140)*-1 + sqrt(140))\/(sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + q + 2. Let u(b) = -4*b**2 - 10*b - 10. Let j(c) = -3*d(c) + u(c). Give j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -8 + (-4)\/(32\/284))\/((-1)\/2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (0 + (0 - -6) + 1 + -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -233239\/10724 + -2\/2681. Calculate the common denominator of c and 37\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 14) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*f**2 - 109*f - 2*f**2 + 39*f - 222*f + 8*f to o + q*f**2 + t*f and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/9)\/((-109)\/4 + 29880\/(-7968))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**3 - 53*z**2 - 265*z - 10. Let v(q) = -6*q**3 - 79*q**2 - 398*q - 14. Let g(f) = -7*l(f) + 5*v(f). Find the second derivative of g(t) wrt t.\nAnswer: -12*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*((-18)\/15)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1189621763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/28)\/(4\/14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5673598341 a multiple of 5757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12.11 + -0.11. Let b = 29.11 - 27.11. Put -3, -2\/11, b, t in descending order.\nAnswer: t, b, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of 0*d**4 + 0 - 3*d + 2\/3*d**3 + 1\/5*d**5 + 0*d**2. What is the second derivative of n(v) wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210202100 (base 3) in base 12?\nAnswer: 18699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9553 and 27261?\nAnswer: 1117701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**4\/22 + 10*l**3\/33 + 7*l**2\/11 + 6*l\/11 - 36. Factor o(f).\nAnswer: 2*(f + 1)**2*(f + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*x + 24. Suppose -x = -3*f + 1. Suppose -f*n - 2*o - 6 = 0, n = -3*o + 5*o - 4. Are n and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4730\/8)\/((-14)\/8). Suppose -2*q - 337 = -q. Let v = q - j. Which is the nearest to -1?  (a) -2  (b) v  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 8:43 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 127369235?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2497*a - 8 = 2494*a, 40 = 4*h - 5*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 420256?\nAnswer: 1260768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 + 9*a**2 + a + 2. Give m(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 83 = 2*y + 16*r, -y + 41 = -2*r. Calculate the greatest common factor of 115 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6.97 - 0.03. Let d = q + 11. Which is the smallest value?  (a) 2  (b) d  (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -27 - -30. Solve 0 = -g - b*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76, 98, 120, 142, 164, 186?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g + 13. Let b(k) = k - 7. Give 13*b(q) + 6*s(q).\nAnswer: q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**3 + 34*x**2 - 4225*x - 71557. Give q(-17).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 130280177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 573611*j**4 - 55*j**3 + 188272860*j.\nAnswer: 6883332*j**2 - 330*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (150\/(-900))\/((-34)\/24). Which is the closest to -8?  (a) d  (b) 0.2  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -62479*w**3 - 5*w**2 - w + 5. Let i be p(5). Round i to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 8*n - 110. Calculate the least common multiple of n and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.01 + 2.01. Let l = 0 + 2. Put l, 2\/5, k, -0.1 in ascending order.\nAnswer: k, -0.1, 2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112 (base 3) to base 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 0*f - 5\/2*f**4 + 0*f**2 + 1 - 5*f**3. Find the third derivative of z(s) wrt s.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.21  (b) 0.4  (c) 7  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -17 from 36878.\nAnswer: 36895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -69 + 93. Suppose -15*b = -7*b - o. Solve 28\/3*k + 25\/3*k**b - 38\/3*k**2 - 8\/3 + 1\/3*k**5 - 8\/3*k**4 = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 113 + 19 = 2*p, -70 = -p + d. Let y(u) = u**3 + 8*u**2 - 2*u - 7. Let i be y(-6). Let r = i - p. Solve -r*c - 6 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1696.617 from -0.1472.\nAnswer: -1696.7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 m when four letters picked without replacement from {f: 7, x: 3, m: 3, n: 1}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*((-6)\/24 - (-29)\/4). Suppose -h*b + 7089 - 2595 = 0. Let i = -265 + b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(-1))\/b**(5\/3))\/(b**(-2\/3))**34 assuming b is positive.\nAnswer: b**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 5*s. Let w(d) = 65810*d**2. Determine h(w(y)).\nAnswer: 329050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 11*n - 12. Let m be h(-5). Let r be m\/(-15)*-1*(-20)\/(-12). Factor 0 + 3\/8*k**3 - 3\/8*k**r + 0*k.\nAnswer: 3*k**2*(k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24624.87 or -3?\nAnswer: -24624.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 - 2*n + 5. Let q(i) = i - 6. What is 2*o(y) + 3*q(y)?\nAnswer: -2*y**2 - y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/23 - 3232*x**2\/23 - 122322*x\/23.\nAnswer: 2*x*(x - 1653)*(x + 37)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 14, -7 in decreasing order.\nAnswer: 14, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 + 4 + 39*r**2.\nAnswer: 39*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 13963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 1 + (-2 + 3 - 3)*(-1 - 1 + 3) - 1 + 1 - 1 + 0 + 0 - 3)*(-o**3 + 2*o - 2*o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuutuaauuuuuad. What is prob of sequence au?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 9388756.2 to the nearest ten thousand.\nAnswer: 9390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = -i - 5*s, 0 = -2*i + 4*s - 2*s + 576. Suppose -6*b + i = 3*b. Calculate the greatest common factor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85191.\nAnswer: 3, 73, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2*s)*(3 - 1 - 4)*(-5*s**2 + 5*s**2 - s**2)*(2 + 2 - 1) to the form i + j*s**2 + q*s + h*s**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1, -0.14, 2\/353, 0.4, -0.006?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rww when three letters picked without replacement from {l: 7, w: 3, r: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -255.2 + 226. Let k = u + 5.2. Let o = 26 + k. Put -1\/5, o, 0.5 in descending order.\nAnswer: o, 0.5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -33, -36, -21, 18, 87, 192, 339?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 20. Let s be 52\/16 - (1 - -2). What is o in 3\/2*o**u + o**3 + s*o**4 + o + 1\/4 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36 + 110\/3. Which is the nearest to 0.1?  (a) 2\/7  (b) 2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 297300 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4075447*j**3*v**3 - 2*j**2 - 14160*v**3 wrt j.\nAnswer: 24452682*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {m: 7, k: 3, g: 1, d: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -5*j. Let q(v) = 6*v - 139. Determine q(d(b)).\nAnswer: -30*b - 139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of 3*h**4\/4 - 31*h**3\/2 - 12*h**2 - 853. Factor c(x).\nAnswer: 3*x*(x - 16)*(2*x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2446341 is divided by 557?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 606*l**2 - 1221*l**2 + 607*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2057 - 1707. Calculate the least common multiple of s and 300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 2*m. Let l be 1 + 0 + m + 1. Suppose r = 6*r - 10. Solve r = -l*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 113*g + 191. What is the tens digit of h(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 861 by 19325.\nAnswer: 861\/19325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 10 = 4*p + 3*q, -5*p = 3*q - 14. Suppose 0*y - p*y = -24. Suppose y*k = 5*k + 5. Solve -k*v - 27 = -4*b, -4*b + 27 = b - 4*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39 + -25. What is the common denominator of 2 + (-2)\/(t\/(-150)) and 41\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - s - 4. Let n(j) = j**2 + 4*j + 3. Let h be n(-3). Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -448*z**2 + 2 - 2.\nAnswer: -448*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 163\/3*x**3 - 3\/5*x**5 - 19\/4*x**4 + 0*x + 0*x**2 - 52. Find the third derivative of q(d) wrt d.\nAnswer: -72*d - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - -22. Let a = u + -4.9999978. What is a rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -15*x**4\/2 - 39*x + 8. What is the first derivative of d(p) wrt p?\nAnswer: -90*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1349, 4, 3, 2, -4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -40906 divided by -1.\nAnswer: 40906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -4. Let c be (j\/(-6))\/(2\/(-54)). What is the remainder when 12\/(-10)*(-240)\/c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31\/46 + -4\/23. Suppose 2*n - 7*n = 20. Let t be 1 - 2 - n - 1. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 5. Let s be g(0). Suppose -19 = -3*m - s*p, -5*m - 5*p + 25 = -0*p. Solve m*z = j + 2 + 17, z - 17 = 3*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8846 (base 15) to base 2.\nAnswer: -111000011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -43. Calculate the highest common factor of 126 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2077 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 312 = 1844*y - 918*y - 918*y. Solve -f + 1 = k, f - y = -4*k - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0.5. Let r = -0.3 - o. Let p = -1\/303 - 595\/3333. Which is the third smallest value?  (a) 2  (b) r  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5368?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 130 + 14334?\nAnswer: 20014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**4\/4 + 3*h**3\/4 + 23*h**2\/2 + 18*h.\nAnswer: -h*(h - 9)*(h + 2)*(h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 5*w - 100 = 0, -2*w - 3*w + 130 = 5*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*l - 2*q - 94, 5*l - 202 = q. Suppose 3*p + l - 323 = 0. Let n = 165 - p. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 2 = -4*y - 2, -5*y - 6 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 7 = -2*i - i, 2*q = 2*i + 6. Suppose q*t = -817 + 25557. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1857025 (base 11) to base 5.\nAnswer: 1301030033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 + 80 = -5*b - 5*g, b + 4*g - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s**3 - 5*s**2 + 3*s + 14. Let f(a) = a**3 - 3*a**2 + 2*a + 7. Let y(d) = 3*c(d) - 5*f(d). Let x be y(0). List the prime factors of 22 - (x - 1)\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -25*t**3 + 2445*t**2 - 121*t - 61477014.\nAnswer: -75*t**2 + 4890*t - 121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 286.2876 millilitres to litres.\nAnswer: 0.2862876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 51782 and 850.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 55\/45 - 4\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 174648 and 101878?\nAnswer: 1222536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25142 - -677. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6055 and 0.1.\nAnswer: -0.06055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**4 + k**3 - k**2 - k. Let i(z) = -16*z**4 - z**3 - 77*z**2 - 3*z. Let f(s) = -i(s) + 3*r(s). Find the third derivative of f(h) wrt h.\nAnswer: 312*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 584686434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 4*p - 34, -4*d = -2*p + p - 23. What is the remainder when 35 is divided by -3*18\/d*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -185.2 + 185. Let d = -228 + 2050\/9. What is the biggest value in d, a, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4135*n + 166964 wrt n.\nAnswer: -4135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = 8*z - 16. Let v = z - 9. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1911653, -3823333, -5735017, -7646705?\nAnswer: -9558397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, b: 2, e: 2, f: 1}. Give prob of sequence kkkf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36872 and 8380?\nAnswer: 184360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d**4 + 16*d**3 - 10*d**2 - 28*d = 0. What is d?\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (3 - 0 - 3). Let n be (-4 + i)\/((-2)\/(-5)). Is n less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -17999, -35699, -52789, -68963, -83915, -97339, -108929, -118379?\n\"Answer: 51*z**3 - z**2 - 18054*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -451 - -356. Let l be 9\/5 - 19\/y. Solve 0 = -t - 4*z - z + 15, -5*z + 30 = -l*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -113 - -115. Solve -2*n + 6 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d**3 + 178691*d**2 - 178691*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -18 + -3 + 21 + -18 - (1 - -5)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*t**4 + 3*t**4 - 5*t**4)*(-3 - 3 + 5) + (-10 - 9 + 11)*(-2*t**4 + 3*t**4 + 5*t**4) to m*t**2 + y*t**4 + l + g*t + w*t**3 and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 * 51712.\nAnswer: 4136.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + (4\/8 - (-2)\/2). Let b = -0.04 + 0.84. Sort j, 1\/4, b in descending order.\nAnswer: b, 1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 4*r - 39. Let h = -15 + r. What is the units digit of h - 2*16\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(10\/7)*k**(4\/17))\/(k**(-13)*k**(2\/3)) assuming k is positive.\nAnswer: k**(4997\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(2\/((-64)\/(-12))). Let w be (o\/132)\/((-1)\/(-2)). Factor 10\/11*p + w + 8\/11*p**2 + 2\/11*p**3.\nAnswer: 2*(p + 1)**2*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25783 in 0.5, 0.3, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 610, 1278, 2034, 2920, 3978?\n\"Answer: 7*p**3 + 2*p**2 + 613*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 27, 0.7, 0.12?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/5552206 and 39\/11104412.\nAnswer: 11104412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 359479, 718962, 1078447, 1437934?\nAnswer: 1797423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (3 + 1 + sqrt(567) + sqrt(567)*2*-1 - (1*sqrt(567) + -3 + (2*(3 + sqrt(567)) - sqrt(567)))))**2.\nAnswer: -270*sqrt(7) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -117, -29, 105, 273, 463, 663, 861, 1045?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2664864, -2664901, -2664964, -2665053, -2665168, -2665309, -2665476?\nAnswer: -2665669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -210?  (a) 4\/5  (b) -3\/10  (c) -4  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 714370.1 litres?\nAnswer: 714370100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 12 - 3, -2*u - y - 33 = 0. Let b = 776 + -6217\/8. Let z = b - 73\/56. Calculate the common denominator of z and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.529 in 11, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -36, -96, -156, -216, -276?\n\"Answer: -60*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*f = 53*f - 48. Solve 47 = f*s + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 187231400 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -393*i**3 - 21*i**2 + 748*i**3 - 540*i**3.\nAnswer: -185*i**3 - 21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 33539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**3 - 36*a**2 - a - 41. Determine g(18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y**3 - y**2 + y - 5. Suppose -5*b + 20 = -9*b. Let l(j) = 2*j**2 + 6 - j**2 - 31*j**3 - 2*j**3 - j + 25*j**3. Calculate b*l(x) - 6*f(x).\nAnswer: -2*x**3 + x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**3 - n**2 + 348*n. What is h(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21290, -41830, -62370, -82910, -103450?\n\"Answer: -20540*u - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 470 + 74 = 4*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24*(-4)\/20*(237\/790)\/((-1332)\/(-300))?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.3115 rounded to zero dps?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 28 = -5*f, f - 8*t - 26315 + 26319 = -6*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 3053.16\nAnswer: -12212.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 234 - -524. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1621 + -1362. List the prime factors of d.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 - 851 = -4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4613.\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -10*h**2 + 2*h + 2. Let t be w(-1). Let l = 16 + t. What is the highest common divisor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 5. Let y(w) = -2*w + 1. Let t(x) = o(x) - 4*y(x). Let j(v) be the second derivative of -2*v + 1\/6*v**3 + 0*v**2 + 0. Determine j(t(s)).\nAnswer: 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -88bd3 (base 15) to base 6\nAnswer: -13152213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 58. Let q be (7\/2 - -10)\/(12\/16). Let l = q + s. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 533365 is divided by 296?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = -3*j + 2. Let m be (-5)\/(-2)*(j - -15). Sort 0, -4, m.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, k: 3, y: 1, b: 2}. What is prob of sequence ykhb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56343 is divided by 13057?\nAnswer: 4115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31e857 (base 16) to base 5.\nAnswer: -1314130433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(44)\/sqrt(4) + -5)**2.\nAnswer: -18*sqrt(11) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 1, -3.54, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 35 = 117. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 + (49 - -29 - 52)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssuz when four letters picked without replacement from kjskujkjkzkksikjzz.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -5  (b) 1  (c) 3  (d) 14863  (e) 0  (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*x + 12 = -4*i, -2*x + 24 = -5*i. Find the common denominator of 73\/12 and i\/10 + 1547\/(-420).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r = 4*y - 68, 165*r - 326*r - 4*y + 68 = -164*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2)\/n*n\/((n\/n**(5\/6))\/n)*(n*n**(-2\/7)*n*n)**(2\/61))**(-5) assuming n is positive.\nAnswer: n**(13805\/2562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) 0.4  (c) -5  (d) 1719  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/6835, -2\/7, -6?\nAnswer: -3\/6835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -99 + 100. Calculate the common denominator of 37\/30 and 1 + f + 770\/120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(162)*-3 - (4 + sqrt(162) + 1*sqrt(162) + sqrt(162))**2.\nAnswer: -1474 - 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8663 + 8812. Calculate the remainder when 742 is divided by l.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = 4*j + 11, -5*o = -107*j + 110*j + 2 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 174.59 + -1.59. Let v = k + -164.9. Round v to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 22 and -78.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4863945.\nAnswer: 3, 5, 43, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) 3\/7  (b) 5  (c) 0.6  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -1c?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 688 - 918 = 23*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 546 and 57642?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101000001111010 (base 2) to base 12.\nAnswer: -41a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -5*u**3\/3 + 7*u - 1. Let x(z) = -z**2 + 1. Let v(o) = o**3 - 16*o**2 + 40*o - 27. Let y be v(13). Calculate y*x(c) + 2*w(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1531254455 + 21?\nAnswer: -1531254434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110100111110 - 110110101?\nAnswer: 101101110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -99*g - 7. Let p(y) = 49*y + 4. Let n(u) = 4*l(u) + 7*p(u). Is n(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*v**3 + 1189*v**3 - 375*v**3.\nAnswer: 742*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 379, 147, 1, 4, -5 in descending order.\nAnswer: 379, 147, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33 + 15 - 216)*(1 - 4 + 2)*(-3*b**2 + 2*b**3 + 3*b**2)*(0 - 2 + 3 + (1 - 1 + 2)*(6 + 0 - 4) - 4 + 0 + 3).\nAnswer: 1344*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a + 38*a**2 - 5*a.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l. Let f be m(-1). Let t(i) = 7*i - 4. What is the units digit of t(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/27 and 58\/495?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.052 and 18.\nAnswer: -0.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 2*u, -2*u + 5*m - 12 = -9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + 4\/2)*-1. Suppose -7*y = -1 - 27. Suppose y*t - 4*m = -4, -3*m + 0 = -15. Solve h = -t - k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 4. Let q(j) = j**2 + j + 1. Let i be q(n). Let p = i + 3. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-5)*-1*22\/66.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 6:54 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s + 3*s + 3*s)*(0*s**2 - 9*s**2 + 2*s**2)*(4 - 4 - 2*s)*(5 - 4 + 0).\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -39*u**2 + 73*u - 9. What is g(-3)?\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.215 - 2.3. Let a = -43.085 - r. Let u = a + 42.5. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -a**4\/24 - a**3\/3 + 5*a**2\/4 - 41*a. Factor h(g).\nAnswer: -(g - 1)*(g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 PM and 8:52 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**3\/2 + 15*m**2 + 93*m\/2 + 45.\nAnswer: 3*(m + 2)*(m + 3)*(m + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19980 divided by -37.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-20)\/(-6) - (-2)\/(-6). Let i(b) = -b + 3. Let f be i(3). Let g be (14 - 2)*(92\/(-23) + (-57)\/(-12)). Solve -2*c - g + h = f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 2*p. Let x(d) = -23*d**2 + 67*d + 2. Let q(v) = -292*v**2 + 803*v + 25. Let n(j) = -2*q(j) + 25*x(j). What is g(n(a))?\nAnswer: 18*a**2 + 138*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 5:38 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 87420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(120) - -1*-2*sqrt(120)) + sqrt(120))\/sqrt(8))\/((sqrt(2025)*2)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/(-40) + 98\/5. Let n = k - 9. Is 4\/n - 1230\/(-50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w + 12*w + 16*w - 2*w in the form g + z*w and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 798*s + 3*x = 802*s + 6, 3 = -3*s + 2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -5*m - 35. Let n be (-10)\/(-75) + 2\/m. Solve 0 = -3*f - 5*q - 11, 4*q = -4*f - n*q - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3))) + -4)**2 + 2.\nAnswer: -16*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1809 and 542168757.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22597, -45188, -67785, -90388?\nAnswer: -112997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2889)\/(-963) - (2 - (2 + 2)). Solve -l*u + 0*u - 5*y + 20 = 0, 6 = u + 2*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r**2 - 2*r**2 - r**2 + (-84*r + 0*r - 120*r)*(-2*r - 5*r + 4*r).\nAnswer: 605*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/559 + 1101\/9503. What is the biggest value in h, 85, 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 15. Suppose -4*g + v = q*v - 14, 5*g + 3*v = 14. Let a = 3 + -5. Put 2, a, g in ascending order.\nAnswer: a, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 15. Let w be -5 + 80\/44 + 3. What is the third biggest value in w, 4\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -92769840 divided by 88860\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21266558 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 2:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 - 2*x**2 + 2*x**2)*(3 - 4 - 1) + 2*x**3 - x**3 - 2*x**3 - 3*x**2 + 37*x**3 - 8*x**2 + 12*x**2.\nAnswer: 38*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*2\/2*(-216)\/(-720)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-29)\/5 - 5\/(-100)*-4. What is the remainder when 132 is divided by 3*((-2)\/b - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290.375 days in seconds?\nAnswer: 25088400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 397384, 794766, 1192148, 1589530, 1986912?\n\"Answer: 397382*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -13 + 6*h + 13. Suppose 11*u + 48 = 19*u. Let i(k) = -12*k**2 - u*k**2 + 9*k**2 + 2*k**2. Determine n(i(s)).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -353*k**2 + k. Let y(n) = n. Determine f(y(g)).\nAnswer: -353*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + sqrt(2057) + (sqrt(272)*-2)**2 + (sqrt(51) + sqrt(1275)*-1)\/(2*sqrt(75))).\nAnswer: 318*sqrt(17)\/5 + 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 456\/321557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 3 = -0*l - 3*u, -u - 9 = -l. Suppose -y + l = -0. Let f(b) be the first derivative of -b**2\/2 - b + 3. Calculate f(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w**2 - 1922175*w + 1922175*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -10. Suppose t*r = r. Suppose r = -h - p + 5*p - 2, 2*h = 4*p. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -692 * 0.1.\nAnswer: -69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-825)\/(-150)*2\/44*(-517)\/(-11).\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/35, -4, 0.02, -43\/5, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 - -5)*(-1)\/2. Let p = h - -26. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4442 or 57750\/13?\nAnswer: 57750\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20*v**4 + 887779*v**3 + v**2 + 4247*v - 2889?\nAnswer: -480*v + 5326674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3799 - 102557\/27. Let b(u) be the third derivative of 8\/27*u**4 - 1\/945*u**7 - 8*u**2 + 0*u - 4\/45*u**5 + 0 - h*u**3 + 2\/135*u**6. Factor b(x).\nAnswer: -2*(x - 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, t: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/6 - 15064\/(-21)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 22 = 18. Suppose -3*i - 2*s + 15 = -k, 2*i + s = 24. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) - (sqrt(1300) + -2 - sqrt(1300)))**2 + -4.\nAnswer: 40*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) -175  (c) -4  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + (2 - 1\/1). Suppose o = -t*y - 1 + 14, -y = -5*o + 1. Solve -x = -0*s + 2*s + 9, 5*x = -y*s - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 104 = -57*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of -458*t**2 + 869*t - 6694. Differentiate h(k) with respect to k.\nAnswer: -916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -2. Let o(g) = 4*g - 5. Let q(v) = 5*v - 6. Let d(a) = -3*o(a) + 2*q(a). Let f be d(s). Is -2\/7 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-5))\/(32\/(-200)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 = 5*t + 2*p, 0 = t - 2*p + 5*p + 23. Suppose u - 4*u - 15 = 0, 215 = 5*d - 3*u. Let o = t + d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1428*(2 + -4 - 42\/(-14)). Calculate the highest common divisor of r and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 100, 3824, 13932, 33616, 66068?\n\"Answer: 532*m**3 - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08 + -0.88. Let o = 1.04 + j. Let n = -0.24005 + o. Round n to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 + 285 = 5*q. Let c = 27 + -7. Calculate the remainder when q is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -85265, -170552, -255827, -341084, -426317, -511520?\n\"Answer: m**3 - 85294*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18540 - -16199. List the prime factors of f.\nAnswer: 34739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.82 - -0.18. Let y = s - 6.5. Let g = 392 + -393. Which is the biggest value?  (a) y  (b) g  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1399361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -12243321034?\nAnswer: 12243321024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.1 - -0.8. Put -1, 5, o in descending order.\nAnswer: 5, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 56 + -53. Let z be -780 - (j + -4 - (-2)\/2). What is z rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6006 and 79716?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 5*u + 11 + 4 - 13 - 4*u. What is g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**5\/3 + 127*l**4\/3 + 587*l**3\/3 + 25*l**2 - 831*l - 702 = 0. What is l?\nAnswer: -117\/2, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - ((-40 - 4) + 29).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.7 or -0.5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*j - 482 + 482)*(-4*j**2 + 447 - 447).\nAnswer: 92*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 53 divided by 6\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 163*g**3 - g**2 + 4*g - 2. Let t be r(1). Suppose 2*w - k = -3*w + 224, -4*w = 3*k - t. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (5 + (-7 - -6) - 12) - 13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -64450*b**2*i - 31*b*i + 252*b - i + 4 wrt b.\nAnswer: -128900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1926 + 1926. Solve -2*i - 5*c + 31 = t, 3*i - 5*c + 1 = -3*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3771\/(-2095)*5\/(-204))\/((-12)\/(-16)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -3, -337 in descending order.\nAnswer: 4, -1, -3, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9612 is divided by 169.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n - 14. Let b be j(-11). What is the highest common divisor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -32*j - 3. What is the tens digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3\/2, -4, -0.2, -7.2 in descending order.\nAnswer: 3\/2, -0.2, -1, -4, -7.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4322313 - 1?\nAnswer: -4322314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-1))\/(4\/(-12)). Suppose o*m - 5*m = -10. Does 4 divide m\/((-10)\/4)*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -1935*p + 36702. Give f(19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the first derivative of -3850*i**3 - 7141*i**2 + 8820. What is the second derivative of f(s) wrt s?\nAnswer: -23100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34912 and 2480800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of 14*h**2 + 0 + 3\/28*h**4 + 2\/35*h**5 + 1\/1176*h**8 - 1\/210*h**6 - 4\/735*h**7 + 0*h**3 + 0*h. Factor m(b).\nAnswer: 2*b*(b - 3)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/12)\/(7\/(630\/(-12))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l - 1 + 1)*(14*l - 62*l - 6*l) - l**2 + 3*l**2 + 0*l**2 to m*l**2 + z + a*l and give m.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u, 1 r, and 1 l when four letters picked without replacement from kkruryruuuulu.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 91.59  (b) -3  (c) 3\/2  (d) 0.5  (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0622 * 1032.\nAnswer: 64.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -62, 136, 468, 934, 1534, 2268?\n\"Answer: 67*x**2 - 3*x - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, o: 6, b: 4, j: 3, f: 3}. What is prob of picking 4 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3302*x**2 - 640*x**2 + 162*x**2 + 633*x**2.\nAnswer: 3457*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppcrpppzzzprcrrrrcr. What is prob of picking 1 c and 1 z?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 264 + 3*t - 3*t**3 - 264.\nAnswer: -3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 4*n**2 + 6*n + 4. Give y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1411 + 3588. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 289025 * -5.5\nAnswer: -1589637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-2))\/((-1)\/(-92)). Let x be (-11)\/(-2)*(-8)\/y. Let r = 246\/161 - x. What is the second smallest value in -0.3, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*w - 203 - 119, -w = c - 82. What is the remainder when c is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-14))\/((-27)\/(-63))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1593892?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/40 + 3\/8. What is the closest to -0.1 in d, -0.66, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 129914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(95)\/sqrt(5) + -5 - (sqrt(171) + 0 - sqrt(19)*-1*4))**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(192)*-3)\/sqrt(8))\/((sqrt(64) + sqrt(64)*2)\/sqrt(8) - -4*((sqrt(8) - sqrt(24)\/sqrt(3)) + sqrt(8))).\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6.7 - 3.1. Let x = -11.6 + r. What is the nearest to 2\/5 in -3, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 equal to -7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(2*sqrt(5)*2)*-4.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 0. Let w(o) = 17*o**3 - 2*o + 3. Let v be w(q). Suppose -59*u + 15*u = -660. Calculate the highest common divisor of u and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4656224, -9312454, -13968684, -18624914, -23281144?\n\"Answer: -4656230*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -4940451 less than -4940452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {n: 1, v: 4, o: 1, s: 8, m: 2, l: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**5\/7 + 7538*i**4\/7 - 7554*i**3\/7 - 52778*i**2\/7 + 7552*i\/7 + 45240\/7 = 0.\nAnswer: -3770, -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -36507 divided by -43\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q - 32*q + 42 = 0. What is the remainder when 24*(32\/12)\/2 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from ffibzkx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**5 - 4*f**5 + 2*f**5)*(2 - 2 + 1) + 3*f**5 - 3*f**5 - 7*f**5.\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 44, 116, 238, 422?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 127214, 508883, 1145000, 2035565, 3180578, 4580039?\n\"Answer: 127224*h**2 - 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 146066*h - 146066*h - 1 - 10*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -13  (b) 2\/21  (c) -1  (d) -0.7  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34227424 divided by -27782.\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (-8 + 4 - -13) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hzbybzhzz. Give prob of picking 2 b and 1 y.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/447 and 109\/84.\nAnswer: 12516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + (-19630)\/54)\/((-4)\/(-12)). Let i = -1095 - z. Let p be ((-116)\/(-14))\/(-2) - -4. What is the third smallest value in i, 4\/5, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -832?  (a) -1\/3  (b) 5  (c) 2\/7  (d) 3  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**4\/3 + 12455*v**3\/3 + 137087*v**2\/3 + 162043*v + 186990 = 0. Calculate v.\nAnswer: -5, -3, 12466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/120*-2*6\/9. Which is the third smallest value?  (a) h  (b) -1\/2  (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*s**2 - 262 + 81*s**2 + 13*s**2 + 120 + 143.\nAnswer: 53*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-3\/14))\/c**(-2\/11))\/(c*c\/(c*c*c**(-9))*c)**(-40) assuming c is positive.\nAnswer: c**(61749\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/2)*m*m**(-5\/4)*m**(-3)*m*((m**(2\/17)\/m*m)\/m)\/m*(m**(-1\/6)\/(m**(4\/5)\/m))**41 assuming m is positive.\nAnswer: m**(-3331\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -23 - 1627?\nAnswer: -164a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -22*t. Suppose -27 = -210*p + 201*p. Let a(x) = 74*x - 13 - 74*x + 13 - p*x**2. What is k(a(u))?\nAnswer: 66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*1*sqrt(70))\/(sqrt(1440)*1) + 5.\nAnswer: sqrt(7)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 445*a - 421*a - 2*a**2 + 3 - 3 to the form q + g*a + o*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -43532*f + 94740.\nAnswer: -43532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 7*a + 14. Let x be w(8). Let q = x - 1. Calculate the remainder when q is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16.911 + 17.211. Which is the third biggest value?  (a) 1  (b) u  (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/(-392)*(-2 - 15\/6)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 3:11 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l\/(l*(l\/(l\/l**(-6)))\/l))\/l)\/((l\/(l\/(l*l**(-7))))\/l))\/(l**(-10)*(l\/(((l\/(l\/l**6))\/l*l)\/l))\/l) assuming l is positive.\nAnswer: l**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 810130465?\nAnswer: 5, 162026093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1100010110100000111001 (base 2) to base 4\nAnswer: 30112200321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 8 = -2*x. Suppose k - 38 = 2*r + 40, -k = -5*r - 63. Calculate the greatest common factor of x and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69.6696 milligrams in grams?\nAnswer: 0.0696696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18362 is divided by 833.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 60.47834ml?\nAnswer: 0.06047834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/49152 and 39\/2176.\nAnswer: 835584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/6 - 4\/6. What is the units digit of 1\/2*18*s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -551.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 504331 + -2010?\nAnswer: 502321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 667 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 7730043 = -4369957. What is o rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25130 - 4315 + 5609 + 11927 + 7835)*(2*o**2 + 0 + 0).\nAnswer: 92372*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + -47?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (-15 + 9 + -27) - 91 - 2.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7882 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5609 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:56 AM and 1:41 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a3 + 115?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.5, 44\/21, -4\/47 in increasing order.\nAnswer: -0.5, -0.3, -4\/47, 44\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*g - 1\/2*g**2 + 1\/3 - 1\/3*g**3.\nAnswer: -(g - 1)*(g + 2)*(2*g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*a = 90*a + 7. Which is smaller: a or -3\/68?\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 149937 and 23490130.\nAnswer: 70470390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2)\/15 - 49192\/(-390)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 12*c + 30 = 0. Suppose c*d - 20 = 2*d. Suppose 3*o - 13 = -5*l, l - 4*o = 3*l + 6. What is the smallest common multiple of l and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -884.709*-2.\nAnswer: 1769.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 9 - 6 + (-1 - 4 + 6)*(-4 + 2 + 1) + 6 - 5 + 0 - 2 + 4 - 1 + (1 + 3 - 2)*(2 - 3 + 2) - 5 + 3 + 1)*(0*f + 5*f - 3*f)*(-6*f + 3*f - 3*f).\nAnswer: 72*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.73 and -0.07.\nAnswer: -0.0511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 424 - 108. Suppose 0*i - 4*i - 55 = -5*r, r - 2*i = 11. What is the remainder when p\/10 - (-2)\/5 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.4  (b) -0.11  (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 528, 1\/252, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 64832931 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 5, -3, 2, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 2, 2*t - 148 = 3*i - 702. Calculate the highest common divisor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 7:53 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + 0. Suppose 8*y - b = 6*y. Suppose -a = 3*g - 41, -y*g - a + 2*a = -34. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 - 3)*(3245*q**2 + 1358*q**2 - 2793*q**2 + 2) in the form d*q + h*q**2 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/8, -37.262845, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -9. What are the prime factors of (o + 8)\/(0 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/16070 and -83\/9642?\nAnswer: 48210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(612) + 0 + ((sqrt(136) + sqrt(136) + sqrt(136)*3)\/sqrt(8))**2.\nAnswer: 6*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 265 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 483 divided by -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgcwwzzssz. What is prob of sequence zgs?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 7*i**2. Let u(h) = 171275*h + 1. Calculate u(x(f)).\nAnswer: 1198925*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from jgljlgggjggggjjjl?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -16 times -0.8\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4282 - 4279. Sort v, -0.055, 0.2 in descending order.\nAnswer: v, 0.2, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-58)\/(-2610))\/(4\/505) and -35\/46?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 12 + 8*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 - 9*h**2 - 7*h + 46. Suppose 6*y - 565 = y. Calculate the remainder when y is divided by a(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5234 + -5230. Sort t, -1, -128, 0.4, 0.5 in descending order.\nAnswer: t, 0.5, 0.4, -1, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -9*m + 2*m + 5*t, 2*m + 2*t + 14354 = 14364 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from kkykywqhqkyqq.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 2*w + w)*((-3 + 0 + 1)*(w - 2 + 2) - 3*w + 1 - 1)*(-3 - 1 + 2).\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.1 - 2.9. Sort a, 3, -1\/3, 1.\nAnswer: a, -1\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -5*g + b, -28 = -5*g + g - 3*b. Suppose -g*o + 20 = 0, -4*o = -3*p - 0*p + 943. What are the prime factors of p?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6.9 - -10. Let l = 0.1 - k. What is the smallest value in 5, l, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2331.8 take away 106?\nAnswer: -2437.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 94302 and 6206694.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i - 2. Let k be w(3). Suppose 73 = y - k. Let t be 6\/21 + y\/14. Solve 4*m = 2*a - t*a + 16, -4*m + 16 = 5*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1001 - 3?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -1070312 divided by -2\nAnswer: 535156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1212 divided by -303\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -22, 81, 242, 461, 738, 1073?\n\"Answer: 29*y**2 + 16*y - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 2277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.32 times 1?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 439165*p - 9. Let r(v) = 2*v**2. Give x(r(z)).\nAnswer: 878330*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000494 rounded to 5 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 - 7. Suppose 0 = -3*n + 5*y + 53 + 78, y = -r*n + 181. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -233889, -936632, -2107871, -3747606, -5855837, -8432564?\n\"Answer: -234248*s**2 + s + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 91*o**3 + 7*o**2 + 3. Let v be d(9). Is v\/13 + 3*(-10)\/(-195) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 110023 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1066*h**2*t - 4*h**2 - 2*h*t - 753*t wrt h?\nAnswer: -2132*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27974*u**2 + 19066*u**2 - 30309*u**2.\nAnswer: -39217*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/6*(-7)\/(-14)*13\/195*1?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4696*b = -1129*b + 70667 + 89848 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 403648508 divided by 2?\nAnswer: 201824254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10010000011000110011111 (base 2) to base 13.\nAnswer: -c986aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45)\/60 + ((-195)\/80)\/(-3)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 23 + 7*z - z - 7*z. Let r be v(29). Let u(m) = m**3 + 6*m**2 - 5*m. Determine u(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205620229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k*k*k*k\/((k\/k**9)\/k))**19*k**(2\/9)*k*k**(-1)*k)**50 assuming k is positive.\nAnswer: k**(120250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-63)\/15)\/(420\/(-600))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -1 + 0 + 2. What is the second derivative of o - 2*o**4 + i*o**4 - o**4 wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -5416*p + 5413. What is l(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (8831895\/362)\/(6\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 - -6.9. Let l = 0.11 - 1.01. Let x = l - i. Round x to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ainaaaiann. Give prob of sequence anni.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xkkk. What is prob of sequence xk?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 + 11 = -4*l. Suppose 0 = 2*x - 47 - l. Suppose 4*k - 14 = 5*n, -x = -k - 4*k + n. Calculate the smallest common multiple of 10 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.04 - 0.16. Let o = t + -0.2. Let l be (-4)\/26 - (0 + 0). Which is the third smallest value?  (a) o  (b) l  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -4*h**3 - 2*h**2 + 7*h + 10. Suppose -4*n + 20 = -4*y, 3*y - 3*n = 2*y - 9. What is the remainder when j(y) is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -1594*o**2. Let w(k) = k - 9. Let q(x) = 5*x - 54. Let f(n) = -q(n) + 6*w(n). Give f(s(m)).\nAnswer: -1594*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 100 and 2650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {c: 1, a: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(200)*2*2 + 3 + -1 - -2*4*(1 + sqrt(200))*1))**2.\nAnswer: 21600*sqrt(2) + 260100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1199 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 11 = -y. Suppose 4*c + 4*i = 2*c + y, -i + 8 = -2*c. Let w(f) = f**3 + 5*f**2 + 4*f + 2. Calculate w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567) + 1 + 0 + -2 + (sqrt(567) - (sqrt(567) + 1*sqrt(567) + 5)) + 5*2*sqrt(567) + 0 + -1)**2.\nAnswer: -1260*sqrt(7) + 56749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*r - 614 = r - 82 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 473 - 277. What is the greatest common divisor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 53?  (a) -1.3  (b) 4\/7  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -249101\/3, -257, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 112\/3065?\nAnswer: 112\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3257\/470 + -8\/47. Let k = 682619\/40 + -17067. What is the common denominator of k and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -6. Let x(q) = -q**3 - 2*q**2 + 2*q - 3. Let i be x(z). Let d = i - 1162\/9. Which is the smallest value?  (a) 4  (b) d  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*r**5 + 62*r**3 - 21*r**2 + 11474*r wrt r.\nAnswer: 100*r**3 + 372*r - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 5, 1 in increasing order.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -50*(-3)\/240 + (-95)\/(-40). Factor -2\/3*p**v + 26\/3*p - 2*p**2 + 10.\nAnswer: -2*(p - 3)*(p + 1)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1202110 + 11011221120?\nAnswer: 11020201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 11*h - 14. List the prime factors of i(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/389900?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -5  (b) -3  (c) 1.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3504243 (base 6) to base 8.\nAnswer: -537143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 580*g**2 + 6497*g - 4. What is c(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 >= -2049978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 2*r + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2214071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(2*7\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -3*s**4\/5 + 5163*s**3\/5 - 1662798*s**2\/5 - 3346272*s\/5 = 0.\nAnswer: -2, 0, 432, 1291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) 9  (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 208 and 7734142?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*3\/(-54) - (-4)\/(-63).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22212 - -1022?\nAnswer: -21130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 6*s**2 + 2*s + 1. Give b(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 4)*(-a**2 + a**2 + 3*a**2) + 820*a - 2838 - 820*a + 2*a**2.\nAnswer: -a**2 - 2838","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 237646197?\nAnswer: 3, 8801711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 99\/606215 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/12*3 + -20. Let t be -2*15\/p*8. Suppose t*x = 5*x + 1120. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/(-45) + 11\/33.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/4 and 10\/367.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c**4 + 114*c**3 + 216*c**2 = 0. What is c?\nAnswer: -36, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 16*p - 9. Let c be h(18). Let x be 4\/(-18) - 10\/c. Suppose x = 4*t - t - 3*r - 642, 4*t = -r + 841. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + s + 10 = 0. Let t be 2\/s + 2 + 11. Let q be (1 - 1)\/(4\/2). Solve -r = -2*a + t, r = -4 - q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5047*s**2 - 3726*s**2 - 4487*s**6 + 816*s**6 wrt s.\nAnswer: -440520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 + y**2 - 6*y + 4. Let f = 46 - 42. Let m be p(f). Suppose m = -n + 91. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.7 and 0.13?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the third derivative of 0*w + 1\/20*w**6 + 0*w**5 + 1\/24*w**4 + 0*w**3 - 3*w**2 + 0. Find the second derivative of k(h) wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10578 times 0.037\nAnswer: 391.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44 - 29. What is the highest common divisor of v and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 15  (b) 30.2  (c) -1  (d) 4\/5  (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8747 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-4884)\/(-324) + -17 + 8\/10*200\/80\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 897 - 490. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26 and 48.1802?\nAnswer: -1252.6852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -87 + 77 + (-12 - (-18 + -12) - -8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 60.98719 litres in millilitres?\nAnswer: 60987.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218 = 4*h + 6*l - l, 4*l = h - 44. Suppose -h*n = -53*n - 2289. Let x = n + 1289. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7118*y**3 + 31*y**2 + y - 898 wrt y.\nAnswer: 42708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28 + a74?\nAnswer: aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 5*g - 2. Calculate o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(425)*2 + 2)**2 + 2 - (3 + (sqrt(425) - (2 + sqrt(425)*2))*6).\nAnswer: 70*sqrt(17) + 1712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7470, -7481, -7494, -7509, -7526, -7545?\n\"Answer: -c**2 - 8*c - 7461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28\/15 - 11\/5. Let m = -0.001 - 3.999. Suppose -16 = -5*a - 1. Sort m, y, a.\nAnswer: m, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.1  (b) 1.3  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 413714715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3034, 21, -1, 1 in ascending order.\nAnswer: -3034, -1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 184 + 0.9695.\nAnswer: 184.9695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12154196 to the power of 1\/2, to the nearest integer?\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.25 minus 63.3198349416?\nAnswer: -63.0698349416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b + 3. Let p = -408 - -558. Suppose -11*n + p = 106. Give t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -h - 14. Suppose f = -x + h, 2*x - 15 - 1 = -3*f. Solve 0 = -f*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 4*i**3 - i**2 + 5*i - 6. Let n be v(3). Suppose 3*l + n = 5*l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 0.14  (b) -2.1  (c) -0.4  (d) -1\/10  (e) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -539*m + 1080*m - 14 - 540*m. Determine y(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/2 - (-2)\/4. Let r(k) = -8*k + 10. Let c be r(-1). Let m = x + c. Calculate the greatest common divisor of m and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from rrzujjdzpjdzzpp.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 16 = b, -5*b - f - 19 + 73 = 0. Let v = 3 + b. Suppose 7*r + 46 = 60. Solve v = 4*u + 5*q, 0*q - r = -q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5177.\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 725*j**2 + 1430*j - 40.\nAnswer: 5*(j + 2)*(145*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00403277 to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35836327*s**3*u**5 + 46*s**3 + 162*s**2*u**2 + 60*s*u**2 wrt u.\nAnswer: 2150179620*s**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llppl. What is prob of sequence llp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*h**3*p**4 - h**3*p - 68*p**2 wrt p.\nAnswer: -408*h**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - s. Let b(p) be the third derivative of p**5\/15 - p**4\/8 + p**3 + 63*p**2. What is b(q) - 3*f(q)?\nAnswer: q**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 18 divided by -16\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -144 - -141. Let o = 27 - 23.6. Let f = 3 - o. Which is the nearest to 0?  (a) x  (b) 1  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 181259.1 seconds?\nAnswer: 2.09790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10395 and 144375.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*w**2 - 3*w**2 - 4*w**2)*(-1 - w**3 + 1) - 2*w**5 + 3*w**5 - 3*w**5.\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/9 of a day in minutes?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 - 6*b**2 - 2*b - 3. Let s(o) be the first derivative of o**3\/3 - 9*o**2 - 6*o + 71. Let m be s(18). Determine v(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 5:17 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 10 = -s. Let z(f) = 5*f**2 + 7*f + 3. Let j be z(s). Suppose -2*w + 2 = 0, 2*w - j = 5*u + 529. What is u rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/3))**(7\/3) assuming k is positive.\nAnswer: k**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -4396*b - 32. Is y(-2) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(((-26240)\/(-1558))\/(-16))?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0*-16273\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13585.0035516 - -13585. What is t rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 175\/14 - 2\/4. Suppose 2*f + 2*r - v = 0, f - r = -6*r + 22. Suppose f*p = -2 + 6. Solve 5*b = p*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2. Let y(x) = 4*x + 3. Let z(h) be the third derivative of 7*h**4\/24 + 5*h**3\/6 - 5*h**2. Let w(a) = -5*y(a) + 3*z(a). What is w(j(g))?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 104443986 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 4*d - 4 = 0, -2*l + 5*d + 14 - 9 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*h = -3*h - 184. Let u(l) = -8*l + 14. Let j be (-13)\/(3 - -10)*(-1 - -1). What is the lowest common multiple of h and u(j)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/53))**(-31))**(-41) assuming p is positive.\nAnswer: p**(2542\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37522, -74319, -111116, -147913?\nAnswer: -184710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 2*sqrt(1573))*-6.\nAnswer: -132*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -114*m**2 + 5*m - 5*m + 121*m**2 to the form h*m + f + n*m**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7\/328 - 51\/33128. Let y = s + 91\/505. Solve -y*d - 1\/5*d**3 - 2\/5*d**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 221160 and 1274968.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3401.1 + -2498. Let i = -903 + y. Which is the nearest to i?  (a) -2.1  (b) -0.01  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29940441 or 29940446?\nAnswer: 29940446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/74527031 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cssccssscs. Give prob of sequence cssc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-52)*1638\/(-168))\/39.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 + -1 + (-7566 - -7575)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) - (sqrt(39) + (4*sqrt(39)*3 - sqrt(39))))\/((sqrt(12) - sqrt(48))\/sqrt(4)) - (2*((-2 + sqrt(1053))*-6 + 0))**2.\nAnswer: -152208 + 5195*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3613122*j - 3739578 wrt j.\nAnswer: -3613122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*(w**0\/w)\/w)*w)**(-1\/10)*(w*w**(-5)*w)\/w**(-2) assuming w is positive.\nAnswer: w**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**1*p*p**2\/p)\/((p*p*p*p**(-8\/5)*p*p)\/(p**(-7\/5)*p)) assuming p is positive.\nAnswer: p**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15748912 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -739, 10212, 28463, 54014?\n\"Answer: 3650*b**2 + b - 4390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21678?\nAnswer: 2, 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 3409509.59 to the nearest 10000.\nAnswer: 3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(15\/(-9))*1. Suppose 2*z + x*z - 40 = 0. What is the lowest common multiple of 37 and z?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.63756 nanograms in grams?\nAnswer: 0.00000003963756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 3, 22, -556, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d + 25*d**2 - 30*d**2 + 8*d**4 + 2*d wrt d.\nAnswer: 192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/(w*w**(4\/5)))\/w)\/(w*w**(1\/8)*w*w)*(w**(-6\/11)\/w*w)\/((w\/((w**(3\/7)*w)\/w))\/w))**(-12\/5) assuming w is positive.\nAnswer: w**(37347\/3850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 25*r**2 + 5441*r + 136065. Determine v(-25).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*l - 63*l - 3*l**2 + 36*l - 6*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (81\/(-4))\/((3\/(-10))\/((-1062)\/(-885)))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 + 1854\/(-9))*(-186)\/558?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1072702, 1072820, 1072938, 1073056, 1073174?\n\"Answer: 118*u + 1072584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/2 + 45*g\/2 - 47.\nAnswer: (g - 2)*(g + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1204, -2425, -3666, -4933, -6232, -7569, -8950, -10381?\n\"Answer: -i**3 - 4*i**2 - 1202*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2. Let g(w) = -5*w**2 + 148. Determine q(g(p)).\nAnswer: -25*p**4 + 1480*p**2 - 21904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*m**3 + 18*m**3 - 636*m**2 + m**4 + 637*m**2 to the form f*m**3 + j*m + q*m**4 + r*m**2 + u and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-44 - -4)*4\/(-5). Calculate the highest common factor of q and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from zzpzzzpzzzz?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -q + 5*z, -5*q = -26*z + 24*z + 39. Is q equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 * 0.253\nAnswer: 0.02024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/(w\/(w\/(w\/w**(-21)))))\/w)\/(w\/(w\/w**(-8\/3)))*w**(-1\/43)*w**(13\/5))**19 assuming w is positive.\nAnswer: w**(-205352\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1088 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + u - 24. Suppose -91 = -y + 2*y + 4*b, y = 2*b - 121. Let c = 111 + y. What is z(c)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -2*y - 6. Suppose 3*l + y*k = -0*l + 503, 5*l - 2*k = 833. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 920383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2.5567833 hours?\nAnswer: 0.1065326375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-65 - -98)*(44\/3 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*h - 4*h + 4*h - 3*h**2 + 2*h**2 + 2*h**2 - 53 - h**4 as p + v*h + s*h**4 + x*h**2 + d*h**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 95133 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 59603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11\/112694 - 3918289\/22257065. Let w = 6\/79 + l. Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**2 - 6. Let g(s) = -5*s. Calculate v(g(u)).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 1, 0 in ascending order.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -2*i - 17, 99 = 5*y + 2*i - 5*i. Let b = 17 - y. Let s be b\/6 + 48\/72. Solve d + 1 = -s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 24500*(-13)\/((-104)\/16960). Round t to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1385, 5510, 12369, 21962?\n\"Answer: 1367*i**2 + 24*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -6. Suppose -l = 5*f - 0. Let g(u) = -58*u. Is g(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51143 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + k + 0*k + (2 - 2*k - 2)*(2 + 3 - 3) - 2*k - 2*k + 5*k)*(-3*k - 2*k + 3*k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -30301 (base 4) in base 13?\nAnswer: -4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(88)\/(sqrt(4) + (sqrt(4) - (sqrt(144) - sqrt(4)))))\/((sqrt(20)\/sqrt(20))\/sqrt(2)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6*(-2*1 + 35\/14). Let i(m) = 5*m - 2*m**2 + 3 - m**3 - 2 + 1. Let c be i(u). Let r(t) = t**2 + 3*t + 1. Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**2 + 4*n - 3. Let h(q) = 4*q**2 + 9*q - 7. Let u(b) = -5*c(b) + 2*h(b). Let o be u(1). Let f(z) = -z**2 - 3*z. Give f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1196 = 2*u + y, -330*u + 325*u + 2988 = 3*y. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2477*m**3 + 19814*m**2 + 15*m + 28. Calculate o(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/12624 and -83\/91524.\nAnswer: 366096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 1:39 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29821.\nAnswer: 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 - -49. Suppose 2*c - x = 4*c + a, 2*c + 21 = x. Let v be -2 - -10*c\/(-4). Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of -7*w**2\/2 + 33*w - 1. Suppose 39*a - 326 = -53. Let x be p(a). Is x < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/16 and -4\/85.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67570.\nAnswer: 2, 5, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 27*g + 162 = 22*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1624179270, 1624179269, 1624179268, 1624179267, 1624179266, 1624179265?\nAnswer: 1624179264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 20 + 2 = 0. What is the third derivative of -z*b**2 + 4*b**5 + 776*b**6 - 811*b**6 - 4*b**5 wrt b?\nAnswer: -4200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228919676?\nAnswer: 2, 19, 3012101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*m**2 - 2273*m + 25664 wrt m?\nAnswer: -8*m - 2273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1005\/2310 - 1) + (-16)\/44\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 133 + r**2 + 2*r**4 - 6*r**3 + 3*r - 132 + 2*r**3 - 7*r**2 + 0*r**3 to the form s*r**4 + g*r + f + j*r**3 + q*r**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 - 164*i**2 - 62*i - 882. Is 256 a factor of p(-164)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.23569 less than 117.466?\nAnswer: 116.23031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1238*n + 1555*n = 312*n - 52101 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*z + 2701 - 1778 = -3493 for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0259993 + -29721.2.\nAnswer: -29721.2259993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 24 - 49 = 0. Let x be 20\/p + -3 - 28\/4. Put 16, x, 4 in decreasing order.\nAnswer: 16, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -100122669*g**5 - 309*g + 28987 wrt g.\nAnswer: -2002453380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3b662a5 (base 12) in base 3?\nAnswer: 211021001010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 8, d: 3}. What is prob of picking 2 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 20712?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v = 0. Suppose v = d + 5 - 19. Calculate the highest common divisor of d and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 253150 (base 8) to base 15.\nAnswer: 1ae8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -114381\/140 + 817. Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3 - 295419*n**2 - 7088760*n - 42529968.\nAnswer: -3*(n + 12)**2*(n + 98449)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of d**3*x + 2*d**3 + 1762134*d**2 - 13*d*x - 53250*d - 2*x - 1 wrt d?\nAnswer: 6*d*x + 12*d + 3524268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2990, -3016, -3042, -3068, -3094?\n\"Answer: -26*z - 2964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 4 + 1)*(-14 + 3*b**2 + 14) - 3*b**2 + 8*b**2 + 8*b**2 to f*b + h + g*b**2 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -3  (c) -2510.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 406 - 263. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1250621393.3 to the nearest 1000000.\nAnswer: 1251000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -522 by -3.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(4\/9)*a*a*a**(-32)*a)\/(a*a**(-18\/7))**(14\/9))**(-33) assuming a is positive.\nAnswer: a**825","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1\/3, -5, 2\/11 in decreasing order.\nAnswer: 0.3, 2\/11, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1041 and 6?\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -4  (c) -1  (d) 0.5  (e) 19\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**3 - 7*n**2 - n - 7. Calculate y(5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 285 divided by -4\nAnswer: -285\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -816, -1356, -1886, -2400, -2892, -3356, -3786, -4176?\n\"Answer: x**3 - x**2 - 544*x - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4015 (base 6) in base 7?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3210486.508 rounded to the nearest one hundred thousand?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64 - -58. Let r(s) = s**2 + 7*s + 2. Determine r(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3368065.8 + 0.0962?\nAnswer: 3368065.8962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00842371223 to 6 dps.\nAnswer: 0.008424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 407*m**2 - 4179*m - 4021. What is n(-417)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14014 + 10102?\nAnswer: 24121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 10:44 AM?\nAnswer: 434","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -2 + 7 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -22. Let s = 0.1 + 0.4. Sort -1\/4, y, s in ascending order.\nAnswer: y, -1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i = 16 + 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 0.1570313 weeks?\nAnswer: 1582.875504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17217888 a multiple of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -u - 5. Let f be u\/(-4) + (-1)\/2. Suppose 0 = -f*g - 2*c + 5*c + 14, -3*g + 11 = -2*c. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m**2 - 6*m**2 + 3*m**2 + (3 + m - 3)*(-2 + m + 2) - 5*m**2 + 304*m + 4*m**2 + 40*m in the form g*m**2 + n*m + c and give n.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 379918197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c**2 + 12*c. Let o(k) = 5*k**2 + 3*k + 42. Let y(l) = -56*l**2 - 34*l - 476. Let p(u) = -68*o(u) - 6*y(u). Calculate p(m(x)).\nAnswer: -64*x**4 - 384*x**3 - 576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(39) + sqrt(273)\/sqrt(7))*3)\/sqrt(3).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -122*c**5*f**3 - 2*c**5*f**2 + 2*c*f**3 + 2*c*f**2 - 158 wrt c?\nAnswer: -2440*c**3*f**3 - 40*c**3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -11. Let d be 1 + (-12)\/(-4) + l. Suppose d = b - 18. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7416165187 to the nearest 1000000.\nAnswer: 7416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15774673, 15774694, 15774715, 15774736?\nAnswer: 15774757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469571 is divided by 330?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 80.87 and -1?\nAnswer: -80.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(108))**2 + (sqrt(3) + sqrt(9)\/sqrt(3) + -3 - sqrt(3)).\nAnswer: -35*sqrt(3) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -157 by 2046.\nAnswer: -157\/2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 70952085.\nAnswer: 1\/14190417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of -d**6\/60 + d**5\/12 - d**3\/6 - 8*d**2. What are the prime factors of k(-2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 795579734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (4140\/(-200) + 16)\/(71\/1420)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a*i**3 + 736*a*i**2 + 2*a*i + 38*i**5 - 154*i**3 + 13*i**2 wrt i?\nAnswer: -6*a + 2280*i**2 - 924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 2*u**3 + 198*u**2 + 167*u - 2836. Determine d(-98).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -25, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, -0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = l + 121, z + 4*l + 184 = 4*z. Let c be z\/9*1*(-1 + 4). Differentiate 28 + 37*u - 9*u - c*u with respect to u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 490064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0740966 weeks in milliseconds?\nAnswer: 44813623.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**3)**(-24))**(3\/50)*((l**2\/l)\/l*l*l\/l**(-2))\/((l\/(l**(-2\/7)*l)*l*l)\/l*l**1) assuming l is positive.\nAnswer: l**(-456\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -619460 (base 10) in base 3?\nAnswer: -1011110201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**2 - o**2 + 0*o**2 + 0*o**2 - o**2 + 3*o**2 + (2*o + 2*o - o)*(-2*o - o + 4*o) - 3*o**2 + 4*o**2 + 0*o**2 to the form m*o**2 + v*o + n and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*u - 5, u = -4*o + 5*u + 20. Suppose 0*b = -o*b + 15. Solve 6*g = b*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -1.08  (b) -4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.107*-808.\nAnswer: 86.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**3 - 3*o**2 - 2*o + 1. Let j be n(0). Let m be 0 + 1 - (j + -7). Solve u + m = 5*v - u, -3*v + 21 = 3*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17372 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: Let s = -1.6 - 1.4. What is the second smallest value in -1\/3, s, -2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7499, 14998, 22497, 29996, 37495?\nAnswer: 44994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -15*h + 126. Let y be g(9). Put y, 0, -3, 5 in descending order.\nAnswer: 5, 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**4 + 272*n**3 + 1004*n**2 - 1280*n.\nAnswer: 4*n*(n - 1)*(n + 5)*(n + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 771 + -40. List the prime factors of z.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 12) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11428 + -5?\nAnswer: 11423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f**2 + 6*f - 7. Suppose 18 = -13*n + 10*n. Let b(z) = -9*z**2 - 17*z + 20. Calculate n*b(t) - 17*y(t).\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -59 + 62. Sort z, 5, 0.3.\nAnswer: 0.3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -806512 divided by -7.\nAnswer: 115216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17313\/8311997 + -27\/4841. Let o = -101219\/24038 + k. Let d = 2287 + -18253\/8. What is the common denominator of d and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69, -76, -87, -102?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-146)\/(-6) - 3\/9 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3379779 - 3379780.89999866. Let s = -1.9 - t. Round s to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - a = 0, -4*g + a + 7 = 3. Suppose -g*h - 2*h + 500 = 0. Let p = h - 69. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m = 3*u + 4*m - 20, -2*u + 12 = -2*m. Calculate the remainder when u is divided by (1 + -6)*(2 + 12\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4688535608 to the nearest integer?\nAnswer: 68473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*1*416\/(-1072). Let s = 7466\/9447 + c. Let q(r) = r**2 + 6*r + 4. Let v be q(-5). Is v bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 117 and 26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2381 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18*13\/572*-12 - 4\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 7\/28846?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/136 and 3\/136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.06 + 0.06. Let x = u + 4.1. Suppose 4*j + 7 = 104*j + 7. Which is the second smallest value?  (a) -0.04  (b) x  (c) 2\/17  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -507, -11, -0.44.\nAnswer: -507, -11, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**3 - 4*s**2 + 2*s + 7. Calculate the remainder when m(3) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 12. Let n be (1 - 0\/s) + 2. Find the first derivative of 0 + n*v + 0*v + 1 + 0 wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 13*n + 16. Let h be y(13). Suppose h = -3*g + 28. Solve 2*m + 3*m - 3*s = -12, -3*m + g*s - 16 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -13*w - 1. Let g = -176 - -170. Let v(z) = 4*z + 1. Let o(f) = g*v(f) - 2*y(f). What is o(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -y**6\/120 + y**5\/60 - y**4\/24 - 5*y**3\/3 + 8*y**2 - 17*y. Let z(o) be the first derivative of h(o). What is z(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/239634 + -402824743\/2635974. Let y = 153 + k. What is l in -y*l**3 - 4\/11*l**2 + 4\/11 + 2\/11*l = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 17104 and 23518?\nAnswer: 188144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(448) - (2 + sqrt(448) + 1))*-1 + (4 + sqrt(343) - sqrt(7) - sqrt(112)*5)**2.\nAnswer: -112*sqrt(7) + 1391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-63) - ((-1883)\/(-294) + -5). What is the fourth biggest value in 2\/3, -1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 603603 and 10787.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 3083  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-4*(-4 + (-2*2*sqrt(448) - (sqrt(448) + sqrt(448) + (sqrt(448) + -3 - sqrt(448)) + sqrt(448) - sqrt(448))*-2)))**2.\nAnswer: 40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -45 - -63. Let l = 2 - i. Let z = 127 + -126. What is the third biggest value in z, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:14 AM and 1:47 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 71*b + 70*b + 19 = 0, t + 4 = -2*b for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 438162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 18*j - 140.\nAnswer: 2*(j - 14)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - l - 3 = 0, -4*l = -2*j - 7*l + 26. Let y(w) = -w + 16. Let f be y(6). Suppose -5*i + f = 0, -5*i + j = 5*o - 3. Solve -3*v + 0*v = o for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 + 13*g**2 + 320*g + 39. Calculate l(-12).\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 14 - 4)*(1 - 1 - u)*(-5*u + 5*u**2 + 5*u)*(0*u**2 - 7*u**2 + 4*u**2).\nAnswer: -525*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 - 15*p - 17. Let n be u(-5). Suppose -8*g + 10*g = n. Suppose 15*l - 15 = 20*l. Sort g, -1, l in decreasing order.\nAnswer: g, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 1.57?\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 3)\/((27\/210)\/(-3)). Suppose -q = 8*v - 406. Suppose -t = -2*a + v, -2*a = 3*t - 5*a + 138. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 4*b + 14. Let m be y(-4). List the prime factors of 355 - m\/1 - (-1 + 4).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 193009*p*s - 74905*s wrt p.\nAnswer: 193009*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 10, y: 2}. Give prob of sequence yygg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -830*a**3 + 4*a**2 + 8510?\nAnswer: -2490*a**2 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + c = -c - 316, 314 = -4*n - 3*c. Let j = 114 + n. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**4 - 128*v**3 + 6*v**2 + 380*v - 256 = 0.\nAnswer: -64, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1616050.\nAnswer: 2, 5, 32321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 13*r**2 + 8*r + 9. Let i be k(-13). Let f = -667\/7 - i. Let y be (-3)\/((-15)\/(-10)) - -4. Sort 0.06, f, y, -1 in descending order.\nAnswer: y, 0.06, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xojjxoomjmsjtsooj. Give prob of sequence sj.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (7 + -6)*(0 + 0). Solve o = 4*w - 4 - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -73580 bigger than -3531847\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 6404976\/(-42138) - (1 - 37)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 36*t - 42. Let p(r) = r. Let l(z) = -a(z) + 3*p(z). Let b be l(14). What is b rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 54\/36 + (-2 - 22\/(-4)). Suppose 2*z + 29 = -0*z - 5*v, -5*z + v = 5. Let h be (-3)\/z*40\/6. Solve -4 = 4*t - 3*k - h, -2*t + g*k + 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 28. Let w be f(0). Put 2, 5, w in decreasing order.\nAnswer: w, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2534*m - 3209*m - 15681*m - 6390*m as r*m + s and give r.\nAnswer: -22746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r - 5. Let o be t(-6). Suppose 4*u = 4*y - 7 - o, -5*u - y + 20 = 0. Suppose s = u*s - 26. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (0 - 12) + (44 - -630)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-8))\/((-5)\/(-10)*-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -62*t**2 - 32*t + 50*t**2 + 29*t**2. Let h(k) = -k. Let y(l) = -2*c(l) - 10*h(l). Find the second derivative of y(d) wrt d.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-2\/5)*a\/a**4*a**(-2\/7)*a*a*a*a**(-4\/5))**30)**(2\/41) assuming a is positive.\nAnswer: a**(-204\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -9430213.\nAnswer: -16\/9430213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 4*i + 136 = 0, -85*p = -89*p - 5*i + 142. Calculate the highest common factor of p and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**13)*y*y\/y**(4\/9))**(3\/17))**(-12\/11) assuming y is positive.\nAnswer: y**(-524\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -7*r + 236. Let l(y) = -22*y + 700. Determine 19*a(f) - 6*l(f).\nAnswer: -f + 284","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4568 - -4567. Which is the fourth smallest value?  (a) -4  (b) j  (c) 5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*1\/((-4)\/(-1)). Let y = 61\/12 + r. Calculate the common denominator of 1\/7 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxkm when four letters picked without replacement from {f: 1, j: 1, k: 2, x: 2, l: 1, m: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - r**2 + 2*r. Let j be s(2). Suppose 0 = 3*x + x + j. Let n = x + 3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -21 + 19 + 3*w**2 - 31 - 4*w**2 + 17*w. Let h be s(13). What is the highest common divisor of h and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50196818 and 884?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 6429d74?\nAnswer: -6429d71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -215 + 215. Let n(c) = 15*c + 5. Let g be n(p). Solve 10*q + 10 = g*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p**2 + 1 + 0*p**2 - 17*p**2 - 2.\nAnswer: -29*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -105 - 51. Suppose -3*y + q = -20. What is the second derivative of 5*n + 12*n + y*n**4 - 3*n wrt n?\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.1 + -2. Let m = 2 + y. Let q = -4 - -2. Which is the nearest to -0.1?  (a) m  (b) q  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10230014242 (base 5) to base 15\nAnswer: e2ebec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + l**2 - 17. Let i be y(0). Let v = 8 - i. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -4\/553, 0, 416, 0.3?\nAnswer: -4\/553","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-20)*55\/(-66). Which is the nearest to 0.4?  (a) y  (b) -0.3  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 85 - 74. Let k(y) = -y**3 + 12*y**2 - 8*y + 1. Let c be k(b). Solve w = c - 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/3  (b) 4  (c) -2\/17  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3041 (base 6) to base 5.\nAnswer: 10143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = w + w. Suppose -w = -3*b + 3. Let u = 91 + -86. Solve -25 = u*k - s, -5*k = -3*k + s + b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(704) + 1 + sqrt(704) + sqrt(704) + -4 + -2 + -3*(sqrt(704) + 0))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 12*b**3 + 4 - 6*b**3 + b**3 + 3*b - 4*b in the form a*b**3 + j + z*b**2 + c*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - 6*a**2 + 8*a - 12. Let b be r(5). Suppose 5*q = b*f - 1330, f - 4*q + 1752 = 5*f. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 421 is divided by 4\/((-3 - 1308\/(-162)) + -5)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 181070\/9  (b) -2\/3  (c) 1  (d) -2  (e) 0.4  (f) -2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -211*g**5 - 114*g**5 + 0*g**5 + (4*g**5 - 7*g**5 + 0*g**5)*(-5 + 0 + 4).\nAnswer: -322*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 2, b: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -10.75136\nAnswer: -43.00544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10712 - -10725) + (-61 - -1)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 193493786 and 3142.\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/7)*s)**(4\/3)*(s*s*s**(-2\/3)*s)**12)\/((s**(-1\/4))**9\/(s**(-2\/3)\/s**(-2\/9))) assuming s is positive.\nAnswer: s**(8087\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 2*g**2 - 5*g - 4. Calculate the remainder when r(5) is divided by (2 + -15)*(-50)\/65.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -122 and -30.\nAnswer: 3660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -155, -0.4, 0.8, -4.\nAnswer: -155, -4, -0.4, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1462944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124 and 2294.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 24 = -5*f + 3, -3*f = 5*l + 7. Let u be (20\/8*-110)\/l. Let o = -159 - u. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14691*y**4 - 741*y**2 - 35865894.\nAnswer: -58764*y**3 - 1482*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -846*r + 850*r + 41, r + j + 12 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eree when four letters picked without replacement from uteueuerurrueuerer?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pjp when three letters picked without replacement from pjqpppqpppfffpppqqjj?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.7 + 1.3. Let x = f - 1.7. Let p = 1.378 + -0.378. What is the biggest value in p, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3229 is divided by 3220.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5341368 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (78\/(-104))\/(21\/56).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 76555545607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 14*u - 12. Let c be h(-12). Let a(w) = 2*w + c + 0*w**2 + w**2 - 6 - 10. Let r be a(-4). Solve -4*p - 6 = -s, 0 = r*p - 2*s + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 8*b**2 + 6*b + 3. Let c be h(7). Let q = 6875\/12 + -568. What is the common denominator of q and ((-2)\/c)\/(24\/2424)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thhxtdhtdhttdddtdhk. What is prob of picking 1 d and 1 k?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -43?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**(-2\/7)*q*q\/q**(5\/3))\/(q\/q**12*q*q*q**14) assuming q is positive.\nAnswer: q**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 0*x - x)*(-2*x + 3*x + x) + (3*x - 3*x - 3*x)*(1 - 2 + 3)*(-6 - 5 - 6)*(x - 4*x + 4*x).\nAnswer: 100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0225276 rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-7)*m\/m**(1\/2)*(m\/((m*((m**(-2\/7)\/m)\/m*m)\/m*m)\/m)*m)\/m**(-3\/8) assuming m is positive.\nAnswer: m**(-159\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 17)\/(-63 + 61).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193*v = -2*g - 188*v - 60640000, 4*g + 2*v + 121280000 = 0. What is g rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 456591681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + 6\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rmizirmimvp. Give prob of picking 1 m, 2 i, and 1 z.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 302 = -4*t - 331, 3*t - 3*r = -15 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 2:32 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 0 - 6*g - 2 - g. Suppose -3*a = -7*a + 136. What is the remainder when a is divided by m(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-2))\/(1\/(-7)). Let j(m) = -11*m - 10. Let q(t) = 5*t + 5. Let a(y) = -6*j(y) - 13*q(y). What is the units digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146 and 9529128.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - s + 5*s)*(-1829*s - 1847*s + 1678*s) + s**2 + 0*s**2 + 3*s**2.\nAnswer: -3992*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -25, -57, -99, -157, -237, -345?\n\"Answer: -l**3 + l**2 - 28*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-216)\/324*399\/(-7)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 234404818 to the power of 1\/2, to the nearest integer?\nAnswer: 15310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxccvcvbcvccgcgvmvv. Give prob of picking 2 b.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7972.413um in meters?\nAnswer: 0.007972413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 + 12*z - 11. Let j be h(12). Let b = j - -27. What is the greatest common divisor of 144 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5003.1 and -0.5818523.\nAnswer: -5003.6818523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09 take away 905?\nAnswer: -904.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 109ba09 (base 12) to base 7.\nAnswer: 36066141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 9 * -0.01582\nAnswer: -0.14238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*u + 3*u + b, -5*u + 2*b = -10. Calculate the lowest common multiple of (2 - (u + -1))\/1 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104737463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 731*x = -94*x - 12007 + 2107 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 3*i - 3*i + 1. Calculate the remainder when 5 is divided by m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 5*u + 1. Let p(s) = 1677*s**2 + 18*s - 4. Let d(q) = 4*p(q) - 20*z(q). Find the second derivative of d(l) wrt l.\nAnswer: 13376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -1707.\nAnswer: 10\/1707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 208026, 208024, 208022, 208020, 208018?\n\"Answer: -2*t + 208028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(4 + 4)*6. Suppose -3*x + 5*l = 14, 5*x + 8 = 3*x + h*l. Solve -2 = -x*n - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/(-195)*(595\/(-42))\/17\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 + 19*p - 300. What is n(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l - 15. Let n(p) = 3*p - 24. Determine 3*n(s) - 5*x(s).\nAnswer: 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 - 9*v**2 + 7*v + 11. Let y be c(8). Is 33 - 2 - (-1 - y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 + 12. Suppose b*j - 3*r = 3, r = -j + 5*j - 9. Solve 2*y = -5*o - 25, 5*o + 11 + 14 = j*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161, 322, 483, 644?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -2519.44544 to 0 dps.\nAnswer: -2519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + m + 1. Let n(u) = -3*u**2 + 3*u + 4. Let o = -65 + 58. Calculate o*h(z) + 2*n(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -42, 10\/7, 922?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 + v + 1. Suppose 84*o + 114*o + 52*o + 138000 = 0. Let n(z) = 23*z**3 - 184*z**2 + 184*z + 184. Give o*f(l) + 3*n(l).\nAnswer: 69*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74*v**5 - 42*v**2*y - 1133*v*y - 4*y wrt v?\nAnswer: -1480*v**3 - 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -79*k**3 + 7*k**2 + 37*k + 5. Calculate i(2).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2 - (5 + -7)) + 87 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 32\/(-144) + 14\/(-18). Let z be 0\/(-1)*k*(-3)\/(-3). Solve 3*n + 0 - 9 = z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 1\/20*f**5 - 1\/2*f**2 - 2\/3*f**3 - f - 1\/3*f**4 + 0. What is g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 4795409.\nAnswer: 2\/4795409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 12 = 0, -d - 2*g - 12 = -3*d. Suppose d*k = -3*k + 110. 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: Calculate the smallest common multiple of 10992 and 1015844.\nAnswer: 12190128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7656 and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2\/14)\/((60\/(-14))\/(-5)*1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9319 - -9618. Solve a*s - 16 = 297*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 7*w**2 + w - 1. Let g be f(7). Let u(q) = 12*q + 3 + q**2 - g + 0*q**2 + 9. What is the lowest common multiple of u(-12) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -1a159021?\nAnswer: -1a15901c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -15 - ((-6 - -2) + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -105*w**4 + 4*w**3 + 442*w**2 + 1.\nAnswer: -2520*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 take away -135118?\nAnswer: 135267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -590278, -2362948, -5317398, -9453628, -14771638, -21271428?\nAnswer: -28952998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 35941.18 centuries?\nAnswer: 3594118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000026808 rounded to seven decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323096289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-797)\/6376)\/((-14)\/(-144))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -1511*g**5 - 8*g**3 - 2*g + 177. Let m(q) = -6045*q**5 - 36*q**3 - 7*q + 709. Let i(f) = -9*d(f) + 2*m(f). Find the second derivative of i(t) wrt t.\nAnswer: 30180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 60.8\nAnswer: -62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6*(-201)\/(-6) + (1 - 5).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-3\/7)*q)\/q**(-3\/7))**(-2\/11)\/((q\/(q**(-5)\/q)*q\/((q*q**(1\/4))\/q))\/(q*(q\/(q\/(q*(q*q**(-1))\/q)))\/q)**29) assuming q is positive.\nAnswer: q**(-357\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3541, 14662, 33335, 59566, 93361, 134726, 183667, 240190?\nAnswer: 304301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19 or -10\/63?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -10) + (-11 - (-6 - (-1 + -2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2\/52499, -3, 5 in decreasing order.\nAnswer: 5, 0.1, -2\/52499, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 656081 (base 11) to base 6.\nAnswer: 34241534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*c + 5, -c - i + 2 = -3. Let j = -20 - 0. Let o be (15\/j)\/(21\/(-8)). Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yddyyydyqqcdddqcddy. Give prob of picking 1 d, 1 c, and 1 q.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**5*o)\/(o\/(o**(-3\/5)*o))*(o**(-3\/4)\/o*o)\/(o\/(o**2*o)))\/((o**(2\/7)\/o)**7\/(o**3*o*o**(1\/3))) assuming o is positive.\nAnswer: o**(419\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 21100 (base 5) in base 2?\nAnswer: 10101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -333 - -407. Calculate the remainder when q is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 31085939*a**3 + 13830297?\nAnswer: 93257817*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v + 14. Does 7 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*f*h**3*o**2 - 2*f*h**3*o - 15*h**3*o + 11*h**2*o**2 wrt f.\nAnswer: -16*h**3*o**2 - 2*h**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -61*a*m*w - 8*a*m - 2*a*w + 6*w wrt m?\nAnswer: -61*a*w - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/162 and 79\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1827\/(18 + -9) + 1*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -212030 + -2?\nAnswer: -212032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + (-1 - 4 - 18) + -66 + 11.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 971, 1964, 2957, 3950, 4943?\n\"Answer: 993*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 173 - 13 = -4*v, 5*f + 80 = -2*v. Let x = v + 61. Solve -n - 4*o = -9, -5*n - 3*o = -5*o + x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 145274 (base 8) to base 12.\nAnswer: 26050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - 1)\/(-9 + 11). Which is the third biggest value?  (a) -1\/7  (b) 0.1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2772467851?\nAnswer: 2772467851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -4*g**2 - 351*g + 41684. Calculate d(66).\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 6:40 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 - 4*m**2 + 2*m. List the prime factors of g(5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1661, -3139, -4635, -6149, -7681?\n\"Answer: -9*x**2 - 1451*x - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 225655\/29592 - 2\/3699. Let h = -136\/27 + -113\/108. Calculate the common denominator of y and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1cbc53 (base 13) in base 15?\nAnswer: e9528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -36?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*s + 3. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 237309596, 237309597, 237309598, 237309599?\nAnswer: 237309600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 23. Suppose 0 = m - r - 1. Solve -4 = 4*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23895\/10935)\/((-2)\/(-18)).\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddad when four letters picked without replacement from {d: 12, a: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 4 + 2*f)*(691*f - 691*f - f**2).\nAnswer: -2*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 34 = -2*p - x, 0 = 4*p + 4*x - 68. Let k = p + 11. Suppose z - 2*s - 3*s - k = 0, -5*z - 4*s = -24. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 20*m - 44507 - 493. Calculate the greatest common factor of 90 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*h + 7 + 13 = -24*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 + -5. Suppose 0 = 5*p + n*s - 109, -p + 2*s = -0*p - 27. Let u = -1818 - -1906. Calculate the remainder when u is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/193  (b) 0.19  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xhooozohzxzozzkzzk. What is prob of sequence kzo?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7542 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 635619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c**3 - 38532 + 38532 - 69*c**3.\nAnswer: -95*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/3  (b) 26  (c) -317  (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is 5536531813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -94.969 + -0.031. Let y = -95.3 - d. Let s = 0.14 - -0.56. What is the second biggest value in s, y, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 121113003 (base 4) to base 15.\nAnswer: 20ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -32*m**2 - 2455*m - 4778. Give r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, 99708, -2\/17, 3\/2, 0, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -535*f**5 - 64*f**3 + 234349*f**2.\nAnswer: -32100*f**2 - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-128*g - 149*g + 136*g)*(-6*g + 6*g - g**2) + 1 - 1 + g**3.\nAnswer: 142*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(147) - sqrt(3) - (sqrt(3)*1 + -4) - (-3 + sqrt(18)\/(-1*sqrt(6)) + sqrt(3)))**2 + -3.\nAnswer: 121 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/3)*u)**(-18)\/((u\/u**11)\/u*(u**(-7\/4)\/u)\/u) assuming u is positive.\nAnswer: u**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 764*p**4 - 4*p - 39?\nAnswer: 9168*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (-135)\/(-54)*(-74)\/184. Which is smaller: -1\/5 or f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/11, -1\/42, 5, -2, -1\/12?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.2  (b) 5  (c) -3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + -1.2. Let m(h) = -h**2 + 19. Let i be m(4). Let f = 0.27 - 0.47. What is the closest to f in -1\/3, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0884 * -4.5816\nAnswer: -0.40501344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 + 8*t**2 - t + 47. Let z be u(8). Solve z = 13*p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*w + 107*w - 60*w - 68*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 - 56905*u**2 + 6247451*u - 117. Give m(110).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 5*q - 17 = 0, 4*q - 2*q + 58 = 5*r. Suppose 3*l - 5*l = -r. What are the prime factors of ((-35)\/(-3))\/(2\/l)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of 0*c + 0*c**3 - 1\/210*c**7 - 1\/60*c**6 - 10*c**2 + 0*c**4 - 1\/60*c**5 + 0. Factor x(q).\nAnswer: -q**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 5*j + 1 = j, 0 = -3*j + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13171164\/108 - 18\/81 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 74.5 or 0.690329?\nAnswer: 74.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from etehe. What is prob of picking 1 t, 2 e, and 1 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(13\/((-286)\/(-55))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 213768236 divided by -4858369.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 30\/12 + (-3)\/2 + 0. Let z(b) be the first derivative of 2*b**3\/3 - 6. What is z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 4*i**2 + 4*i + 3. Suppose 4 = -3*d + 5*p + 23, -19 = 2*d + 3*p. What is f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108.71 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 18243 * 3.371\nAnswer: 61497.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*j**2 + 5*j**2 - 11*j**2)*(-47*j + 328 - 328) to p + a*j + q*j**2 + r*j**3 and give r.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -7 - 3*j**3 + j**3 - j**3 + 5*j + 0*j**3. Let m(b) = -b**2 + 6*b - 3. Let p be m(4). Let a(o) = -10*o**3 + 16*o - 22. Give p*a(y) - 16*h(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2269\/1320 - 53\/40. Let h = -6\/59 - -811\/1593. Calculate the common denominator of f and h.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 5106, 20444, 46042, 81930, 128138, 184696, 251634?\n\"Answer: 5*t**3 + 5100*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -3*u + 2. Let k be s(-2). Suppose 0 = 2*t + c - 3*c - 24, -2*c - k = -t. Let a = -9 + t. Calculate the greatest common divisor of a and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (20\/(-2) + 2)*(-27)\/(-54). Let z be (10\/c)\/((-10)\/4). Put 3, z, -2, -5 in decreasing order.\nAnswer: 3, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(336)\/sqrt(7) + ((sqrt(54)\/sqrt(9))\/sqrt(2))**2.\nAnswer: 3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.1, -0.5, 0.3, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0, 7, -2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 5*d + 20 = 108 - 59, -4*a + 20 = 8*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2167957009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -17*f - 79. Which is greater: f or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 + -5. Let n be 42\/8 - (-1)\/(-4). Factor q*b + 2*b**5 + 0*b**n + 0*b - 4*b**3.\nAnswer: 2*b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 203 and 1160.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + 0 + -1 + sqrt(320) + -1 - (1*sqrt(320) + 2 + -4*sqrt(320)*-1))*-2)**2.\nAnswer: 2304*sqrt(5) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 415077467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24\/3880021 + -273863523875\/263841428. Let z = k + 1113\/34. Let i = 1013 + z. Find the common denominator of 70\/3 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55126 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-97)\/19 - (-50)\/10\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1101626, -1101631, -1101646, -1101671, -1101706, -1101751, -1101806?\n\"Answer: -5*g**2 + 10*g - 1101631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 19. Suppose -24 = -3*s - 0*s. Let o = k - s. Sort -3, 1, o in decreasing order.\nAnswer: 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-3))\/(1\/1). Let b = 28655\/186 - 18734005\/121737. Let l = -4\/119 + b. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -481\/1278 + 85\/142. What is the closest to 1\/6 in -0.5, z, -2\/69?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/22)\/3*-280*12\/(-1260)\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 239294 + -239293.9887879. What is u rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-6)*-2*1\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -567*v - 86753. What is m(-153)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 5*w + 1 + 6*w + (-4 + 4 + 1)*(-5*w + 6*w - 6*w).\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*y - 210 = 21*y - 34*f, 4*y = -10*f + 7*f + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 971488 - 671*t**3 - 971488 - 553*t**2 wrt t?\nAnswer: -4026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -9*c**2. Let j be h(-1). Suppose -10*v + 14*v - 56 = 0. Let r = v + j. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (40 - 69) + (-5 + 5 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i**3 + 18*i**2 - 5*i - 15. Let f(w) = w**3 - 4*w**2 + w + 3. Determine -11*f(a) - 2*p(a).\nAnswer: -5*a**3 + 8*a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*4)\/(-15*8\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 6*v - 1. Let y be p(5). Suppose -y*w - 19 = 1. Let f = 9 - 15. Is w at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 491 = 3*k - 3*q, 2*k + 2*q - 324 = 0. Suppose 2*h = -13 + k. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*l**2 + 2*l**2 - 4*l**3)*(-7 - 15*l + 7) as b*l**4 + r*l**2 + w + y*l + s*l**3 and give b.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*y - 4*s, s - 22 = -7*y + 2*y. Let h be 4\/44 + -4*(-25)\/500 + (-48)\/165. Suppose -3*q - 6 = 3. Put y, -4, h, q in descending order.\nAnswer: y, h, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1604 and (9\/(-5))\/((18\/45 + 0)\/(-8)).\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61456 + 48188 = -7690*p - 26860 - 32676 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 107143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n - 4. Let q be h(-3). Let i(p) = 3*p**2 - 2*p - 1. Let x be i(q). Suppose -x*w - w = 0. Solve w = 3*k + k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -l + 4*r, 18 - 11 = 3*l - r. What is the smallest value in -3, l, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/10 + (-2)\/5. Let k be 84\/(-35)*(1 + -66). Let s be k\/(-90) + 12\/30. What is the nearest to t in -1, -2, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 1377d8b7?\nAnswer: 1377d8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*3\/72*(-1)\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = s + 20 - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 497 is divided by 493.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -43067940 divided by -12\nAnswer: 3588995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2164 divided by 30?\nAnswer: -1082\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 39\/(3510\/168) + (-3 - -1) - 468\/(-1485). Determine g, given that f*g**2 + 16\/11*g + 32\/11 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9176 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22821 is divided by 7200.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1984902 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (619\/((-147322)\/(-136)))\/((4\/(-42))\/((-1)\/(-177))).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -494*g**2. Let b(s) = 2428*s. Determine b(a(u)).\nAnswer: -1199432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -338040 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1969997 divided by -1\nAnswer: 1969997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2383 - 0.2.\nAnswer: 2382.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -519\/7 - -5197\/70. What is the third biggest value in -0.12, g, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -v - 5, -11*v = -9*v + 3*k - 32. Solve -20*d - v = -7 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -50*u**4*z - 2*u*z + 31*u + 1 wrt u?\nAnswer: -600*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -40*n**3 + 6*n - 6. Let d(b) = b**3 + b - 1. Give -6*d(v) + s(v).\nAnswer: -46*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 318691 - 318691 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**3 - q**2 - q - 1. Let j(w) = -15*w**3 + 10*w**2 + w + 1. Let a(i) = -4*c(i) - j(i). Suppose 6 = -d - 2. What are the prime factors of a(d)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 147, 134, 133, 144?\n\"Answer: 6*b**2 - 31*b + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 10:38 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -m**3\/3 + m**2\/2 + 4*m - 99. Let h be u(2). Solve -h*i = i - 2*r - 23, 0 = -2*r - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 238 and 19397?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + q + 2 = -5*i, -5*i - 3*q = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020000 + 210111010220?\nAnswer: 210112100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 50 and 13826740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 3*r - 4*w = -1064, w = 4*r + 1052. Let c = -259 - r. Solve -1 = c*s - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1525 + -8815. Round w to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2173780 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 111 and -1598123.\nAnswer: -177391653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 911534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4704 a factor of 4597360320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 4 = 2*v. Let b be (-9 - (-13 + 4))\/(-1). Let c = v + b. Sort c, -3, 18 in descending order.\nAnswer: 18, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n - 2*n - 4*n)*(n**2 + 4*n**2 - 2*n**2)*(-61*n**2 - 182 + 182) + (-n**5 - n**5 + 0*n**5)*(-1 + 1 - 1) + 3*n**4 + n**5 - 3*n**4.\nAnswer: 369*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 78651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 62*484\/(-11253)*(2\/2 + 8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 441 - 428. Solve -2*k + 16 = -3*p, 0 = k + 4*p - 8*p - h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + 5*a - 30 + 177*a**3 - 2*a**2 - 176*a**3 as b + i*a**2 + c*a + o*a**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**4\/13 + 150*r**3\/13 + 3492*r**2\/13 + 20520*r\/13 - 97200\/13 = 0.\nAnswer: -30, -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**2 + 3*v**2 - 2*v**2)*(-v + 2*v - 2*v) + 25*v**2 + 15589*v + 5*v**3 + 19*v**2 - 15592*v - 6 + 0 + 2*v**3 + 0.\nAnswer: 5*v**3 + 44*v**2 - 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*h + 661 - 716 = 1187 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 11289 to the nearest one hundred.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 958386721?\nAnswer: 958386721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 - 4*s + 3. Let m be x(-4). Let b be -2*m*(-7 - 0). Suppose -k = -5*f + 93, 3*f + 2*k - b = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r - 10. Let g be j(-7). Let a = 6 + g. Suppose t + 0 = 4. Solve 4*l + 3*w = a*l + 2, -t*w = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59281764*r - 70*r**2 - 59281764*r - 24*r**2.\nAnswer: -94*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 k, and 1 q when three letters picked without replacement from {g: 2, k: 1, w: 1, x: 6, q: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5897293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 29274905079 and -8.\nAnswer: 29274905071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (3 - (-6 + 11 + -5 + -6))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4457.0893 rounded to the nearest integer?\nAnswer: -4457","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: (10\/(-3) + 3)\/(2\/(-8))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -y**5\/10 + y**4\/12 - y**2\/2 - 5*y. Let k be v(-1). Factor -n**2 - k + n**3 - 69*n + 68*n + 3.\nAnswer: (n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67498.\nAnswer: 2, 33749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1, -44, 5, -30, 11, 6.\nAnswer: -44, -30, -5, -1, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 834.104 tonnes in milligrams?\nAnswer: 834104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 663 and 3368703.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/6*30\/5. Which is the second smallest value?  (a) 4  (b) u  (c) 3  (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of f**8\/84 + f**6\/10 - 41*f**5\/15 + f**4\/24 - 24*f**2 + 13. What is the third derivative of m(h) wrt h?\nAnswer: 240*h**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -73, -131, -237, -415, -689, -1083, -1621, -2327?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 2 - 3 - d + 0*d. Suppose -16*w + 91 = -9*w. Calculate the remainder when z(-7) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -58\/11 - -347\/22. Calculate the common denominator of q and (7\/(308\/64))\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-310)\/8)\/5*-4. Let f = c - 18. Calculate the remainder when f is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 6 = 0, -3*s - 8310 = 4*v - 7*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.066 - -1.974. Let i = u - 0.04. Which is the nearest to 0.1?  (a) -2\/5  (b) 1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -78*q**3 - 2*q**2 - 11*q - 204563 wrt q?\nAnswer: -234*q**2 - 4*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 0*i - 18. Suppose 6 + i = -2*f. List the prime factors of ((-16)\/3)\/4*f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkunnszznksn. What is prob of picking 1 u and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1370, 2736, 4066, 5342, 6546, 7660, 8666, 9546?\nAnswer: 10282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*j**2 + 5*j - 3*j - j**2)*(0 + j**3 + 0).\nAnswer: -7*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 214 + -215. What is the second biggest value in -3, i, 7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 0 + (-4)\/(-5). Let i = -382 - -422. Is r bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -2*f - 3*x, f + 5*x = 4*f + 7. Let b(p) = p + 1. Calculate b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from eeeeeyeyeeyyeyee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -102, -68, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -f - 62. Let l be ((-37)\/3)\/((-3)\/(-18) + 0). Let q = f - l. What is the greatest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 7*l**5\/20 + 17*l**4\/12 - l**3 + 41*l**2\/2 - 529*l. What is the second derivative of z(b) wrt b?\nAnswer: 42*b + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/33 and -61\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3351*b = -3364*b + 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 21*o - 12. Calculate i(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -86 divided by -4\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.98376 minutes in seconds?\nAnswer: 1019.0256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1406.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**2 - 18851*s + 469396. Give m(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13 - -976)\/(-43) + 22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*f**3 + 54871 - 4*f**2 + 9*f**4 - 27435 - 27429 + 8*f**3 in the form o + s*f**2 + x*f**4 + t*f**3 + h*f and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3214, -3216, -3218, -3220?\nAnswer: -3222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of -y**5\/50 + 13*y**4\/6 + 133*y**3\/15 + 67*y**2\/5 + 2*y - 45. Factor r(u).\nAnswer: -2*(u - 67)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2574 plus 0.05?\nAnswer: -2573.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 1:57 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -308 times -2280.777\nAnswer: 702479.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*n + 80 = 3*p, -n + 44 = 2*p. Let a be (0 - 10)*8\/p. Let u(w) = -9*w - 1. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2397 is divided by 397.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1994 less than -6947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 12871.24.\nAnswer: 12871.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b + 3. Let p be g(0). Let z be (p\/((-12)\/(-4)))\/(-1). Which is bigger: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -3, 5, 11, -1, 0 in increasing order.\nAnswer: -20, -3, -1, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/117 + 982\/2691. Let f = 879\/184 + u. What is the common denominator of f and 25\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -687 = 41*b - 236 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqaq when four letters picked without replacement from qqqao.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -7*a**3 - 82*a**2 + 60*a + 26. Determine w(-12).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - 22332?\nAnswer: -23002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (528 - -38 - 7)*22\/143?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -4*u**2 + 16*u. Let s(j) = -1. Let h(l) = -2 + 262*l - 132*l - 131*l. Let b(k) = -3*h(k) + 6*s(k). Determine o(b(n)).\nAnswer: -36*n**2 + 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 28 = -2*t. Which is the fourth smallest value?  (a) 3  (b) -3  (c) 1\/2  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*b - 12, 6*u + 2*b = 2*u - 2. Let f be (u - -2) + (-1329998 - 1). What is f rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 2*z + 3*z)*(-361 + 80 - 226 - 10) as c + n*z and give n.\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -0.1  (c) 1776\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*p, 0 = z + 829*p - 825*p - 69. What is the remainder when z is divided by 55?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 8388 - 8432 = -24*v + 30*v, -v - 13 = 5*f for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tobi when four letters picked without replacement from {o: 6, e: 3, b: 5, i: 3, t: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(27)\/sqrt(3)*-5 + sqrt(9))\/(sqrt(144)\/sqrt(12)) + 1 + -5)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j - 11446 - 54 = 0. Let o be 276\/j - ((-4)\/10 - -1). Which is smaller: 2\/517 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(144\/(-12))*5*((-5460)\/(-200))\/39?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t + 2*t + 18*t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -922 and 755246196.\nAnswer: 755245274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*u + 45*u + 1 + 24*u + 16*u.\nAnswer: 71*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*b**3*g**3 - 48*b**3*g**2 + 10975*b**3*g - 2*b*g**2 - 2313449*g**3 - 11 wrt g?\nAnswer: -36*b**3 - 13880694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 5  (b) -15  (c) 0.4  (d) 3  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005641915 rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-49)\/196)\/(((-225)\/40)\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -39 - -47. Suppose v*c = 7*c - 1. Let l(t) = -10*t - 3. Calculate the lowest common multiple of l(c) and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 78481746?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1328976?\nAnswer: 2, 3, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 57 and -2093833.\nAnswer: -2093776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 35 + -13. Let v = -5 + -21. Let n = v + 37. What is the highest common factor of n and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/4*(4 + 2). Suppose 11 - 125 = l*n. Let x be -2 - -1*n\/(-2). Calculate the greatest common factor of 51 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 4636404?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20569?\nAnswer: 67, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7631 and 1755.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*r - 2*r - r)*(2*r**3 - 592 + 3*r**3 + 588) to x*r**3 + w*r**4 + g*r**2 + j*r + v and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2*(-2)\/(-12))\/(87\/291537)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -7*b**3 - b**2 - 3*b - 8. Let z(p) = -17*p**3 - 6*p - 15. Let i(q) = 5*o(q) - 2*z(q). What is i(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 1011110010111111?\nAnswer: -1011110010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + 62 - (-12 + 9). Let b(p) = -6*p + 24. Let c be b(5). What is the remainder when (0 - q\/c)*(-20)\/(-3) is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 8:00 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-60)\/14*28\/(-6). Suppose -3*c = g - 70, 0 = -0*g - 5*g + p. Suppose -2*o + 2 + 2 = 0. What is the greatest common factor of c and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.06 and -436552076.\nAnswer: -436552076.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g\/(g*g\/(g*g**(-1\/6)*g)*g))\/g)**(-1\/4)\/(g**10*g*g*g\/(g*g\/g**11)) assuming g is positive.\nAnswer: g**(-527\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -362, 1, 0, 12\/7, 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-380)*-2)\/((-16)\/64)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 - 25. What is the common denominator of ((-214)\/(-40))\/((-2)\/(-4)) and q*((-255)\/54 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -11*x**3 + 6*x**2 + 3*x + 3. Let d(r) = -r**3 + r**2 + r + 1. Determine -c(f) + 3*d(f).\nAnswer: 8*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a week in hours?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -3*c**3 + 2*c**2 - c - 19. Let r(p) = -7*p**3 + 5*p**2 - 2*p - 37. Calculate 2*r(q) - 5*t(q).\nAnswer: q**3 + q + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 9:08 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(352))\/(-6*sqrt(18))*1.\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - -2)*128\/6. Let a = s - 82. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 631956*k + 9. Let u be l(-6). Let a be u\/((-63)\/84 - 1\/4). Let q = -5911727 + a. What is q rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1*0\/3)\/(-2). Suppose o = -4*h - 0*h - 48. Let y = -6 - h. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1318409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -3\/8  (b) -0.04  (c) 0  (d) 0.24  (e) -143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 - 5*r + 2. Let c be q(6). Suppose 6*o - c = 2*o. Calculate the least common multiple of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*a**2 - 192 - 46*a**2 - 186 + 13*a**3 + 380.\nAnswer: 13*a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/5)\/p)**34 assuming p is positive.\nAnswer: p**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 5 = -10. Suppose 2*q - 17 = -u, 9 = -0*u - 3*u. What is the greatest common factor of q and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(6\/7)*m\/(m\/(m**(7\/3)\/m)))\/(m**(1\/5)*m)**(8\/3) assuming m is positive.\nAnswer: m**(-106\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/100 - (-2889)\/90. What is the highest common divisor of m and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.29732 rounded to two dps?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2064037\/13 - 158772. Let x be 3\/4 + 1\/(-2). What is the closest to x in -5, q, -1\/5, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + z**2 + z - 1. Let w(d) be the second derivative of -d**5\/5 - d**3\/2 + d**2 - 70*d + 1. Give 3*l(g) + w(g).\nAnswer: -g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -440*k**2 - 519*k**2 + 961*k**2 + 174*k.\nAnswer: 2*k*(k + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 17. Which is the closest to -0.1?  (a) 0.3  (b) x  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 - 3*o - 3. Let x be r(10). Let d = x - 27. What is the highest common factor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - -8. Let j = 1 + -1. Suppose j = 3*v + y - 78. Solve 5*f - f + v = 0, 0 = -3*u - 4*f - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 2:44 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1527 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -17*u - 34 - 30*u + 72*u. Let d be k(10). Suppose -5*o = 2*l + 93 - 456, -3*l = 3*o - d. What are the prime factors of o?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 12:11 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5480\/(-56) - (-46748)\/5278\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + 2 - (-51 - (-67 + 42)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6100686318.\nAnswer: 2, 3, 37, 43, 639083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 5:36 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189468 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02311054268 to 4 decimal places.\nAnswer: 0.0231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 74 - -574. Let h = 660 - z. Let o = -0.4 + -0.1. What is the smallest value in h, o, 1\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 - g + 22. What is the remainder when 3\/(-9) + 635\/15 is divided by h(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/4 + (-642)\/(-24). Let f(p) = -77 + 82 + 6*p - y*p. Let z be f(-1). Solve 0 = -5*n - z + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3\/(-6) + (-33)\/(-30). What is the third biggest value in l, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 784 and 6162583?\nAnswer: 98601328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-52)\/208*((-11 - -129) + 6).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 241842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1 - (1\/3)\/((-2014540)\/287790 - -7)?\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnannnnbn. Give prob of picking 1 n and 1 a.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 2 - (-2 + 0)) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 * -35530.\nAnswer: 497420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 11*g - 4*g + (5*g - g - 2*g)*(-1 - 7 + 3))*(g**3 + 2*g**3 - 4*g**3).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16687906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -5*b**2 + 93*b - 130. Let v be a(11). Solve 0 = -31*d - 17*d - v for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -3, -158 in decreasing order.\nAnswer: 14, -3, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (144\/(-6))\/4*2\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -15\/13, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, -15\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -2*g + 4. Calculate v(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2, -23, -1, 330, 0 in ascending order.\nAnswer: -23, -2, -1, 0, 8, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -4*t**4 - 952*t**3 - 5580*t**2 - 2744*t + 9280 = 0.\nAnswer: -232, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/3896142 and -133\/125682?\nAnswer: 3896142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 73113997?\nAnswer: 11, 193, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + 1)*(0 + 3). Suppose l - 16 = -u*l. Let h = -3 + l. Solve -2*c - h = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 z, and 1 m when three letters picked without replacement from szmzzkzzz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00880395 rounded to five dps?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/48)\/((-2)\/18)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.9 + 0.9. Let d = -0.03 - 0.07. Let z = -0.2 - -0.7. Sort z, j, d in decreasing order.\nAnswer: z, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -246 + 239. What is the second biggest value in -5, c, -25, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*11\/((-242)\/(-11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 28*z = -9. Solve 8 = -4*m + 2*w, 0*m + 3*w = -z*m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 8, 2*u + 36 = -26*m + 22*m. Let q be 675\/(-162) + u\/(-2). What is the third smallest value in q, 2, -0.1, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + sqrt(11)*2).\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4882, 9729, 14638, 19633, 24738?\n\"Answer: 4*p**3 + 7*p**2 + 4798*p + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 0 - (1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1307, -1325, -1343, -1361, -1379, -1397?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 17*h**2. Let u(f) = 4*f. Let c(g) = -5*g. Suppose 0 = 4*z + 22 - 6. Let k(r) = z*u(r) - 3*c(r). Determine k(a(w)).\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 5:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, 2, -3, -1.2, 2.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, 6, 3, 1, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 267531973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-4421241)\/(-53856) - (-5 - -87)\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10\/3, 0.1, -3, 3, -210?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -47\/2 + 24. Let a(d) be the first derivative of -d + 1\/3*d**3 - 3 + p*d**2. Determine a(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1.8, 10.5, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22504 (base 8) to base 13.\nAnswer: 445b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 1:00 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -41*m**2 - 14*m - 6. Let g(o) = 40*o**2 + 13*o + 6. Let q(c) = 6*g(c) + 5*r(c). Let k be q(-1). Calculate the highest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -850*g - 911 = 93439 for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**6\/60 - w**5\/60 + w**4\/6 + w**3\/2 - 159*w**2 - 2. Give v(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2556 - -2558. Solve 4\/3 - 2\/3*y**n + 2\/3*y = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21163421 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -10*t**2 - t + 1. Suppose -2*m + 4 = 2*m. Let n be r(m). Let f(d) = -2*d - 7. What is the tens digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.09+-44.330204731\nAnswer: -44.420204731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.07262 + -0.27262. Let p = -3083\/23 + 134. Put j, 0.3, -1\/3, p in decreasing order.\nAnswer: 0.3, p, j, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 325 = -0*n + 3*n, 5*i - n = -420. Let q = i + 633. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -x**3\/3 - 11*x**2\/2 - 12*x + 2. Does 12 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0015799 rounded to 5 decimal places?\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 3*z - 26 = 0, 4*r + z + 874 = 856 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 19*i + 22*i)*(126 - 251 + 215).\nAnswer: 3690*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 0*m + 20 = 0. Let i(p) = -4*p + 6. Let z be i(-6). What is the highest common divisor of z and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**5 - 1221*m**4 - 2433*m**3 - 1215*m**2.\nAnswer: -3*m**2*(m + 1)**2*(m + 405)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.061 + -30.939. Let h = j - -28. What is the fourth smallest value in 4, h, 1\/2, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -8818*g**3 + 30*g**2 - 5*g + 5262. Let h(w) = -13227*w**3 + 42*w**2 - 7*w + 7893. Let l(i) = 5*h(i) - 7*u(i). Differentiate l(k) with respect to k.\nAnswer: -13227*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-71 - (-61 + 9)) + 63?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-153 - -172) + 2 + 4\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n + 29. Let i(t) = -20*t - 209. Let m be i(-9). Let p be k(m). What is w in 7\/4*w**3 + p - w**2 - w - 3\/4*w**5 + w**4 = 0?\nAnswer: -1, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-35)\/10 - 117\/(-8) and -74\/141.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = 4*d + 26, -20*d + 96*d + 30*d = -3*a - 330 - 88 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4641 (base 8) to base 9\nAnswer: -3338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 + 12. Let m = -8953 + 8955. What is the lowest common multiple of m and 55*(i\/(-3) - 2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 365786711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 0*r = 30. Calculate the remainder when 74 is divided by 2*(116\/r + 3\/(-9)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-171 + 165 - (3 + 1 + -1)) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 9:46 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 136 + -105. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v**5\/7 - 2829*v**4\/7 - 704*v**3\/7 + 303*v**2 = 0. Calculate v.\nAnswer: -707, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 + 20. Let h = b - -1. Let k = -7 + h. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**23*x))\/x)\/x**19 assuming x is positive.\nAnswer: x**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 66*p + 95*p - 35*p in the form y + v*p and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 599327, 1198656, 1797987, 2397320, 2996655, 3595992?\nAnswer: 4195331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3 + (1*5*(sqrt(125) + -1 + sqrt(125)) + 2)**2)*-4.\nAnswer: -100096 + 2400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/147, -5, 443 in ascending order.\nAnswer: -5, -4, 2\/147, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 110\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 20 = -4*h, -h - 4*h = 5*r - 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 3. Let x(r) be the second derivative of 2*r**3\/3 + 13*r**2\/2 + 11*r. Give -26*k(j) + 6*x(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkkrknnkrknkfrnnkk. Give prob of sequence rnr.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39668587 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 54721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6052418 and 4782?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of 2*t**7\/525 + 8*t**6\/75 + 13*t**5\/25 - 3327*t**2. Factor l(b).\nAnswer: 4*b**2*(b + 3)*(b + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.103 - -603248.86\nAnswer: 603248.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 z when four letters picked without replacement from {h: 3, z: 6, u: 4}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaakaiaaaiiakddda. What is prob of sequence kk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2.38, -0.3, 1\/3, 8, -0.25, -4 in ascending order.\nAnswer: -4, -2.38, -0.3, -0.25, 1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 3*d**3 + 68402*d**2\/3 + 129975200*d\/3 + 28880000\/3 = 0.\nAnswer: -3800, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -40 - -44. Suppose -63 = -y + l*b, 4*y + 4*b - 312 = -0*b. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13932 + 7655. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2370302 to the power of 1\/2, to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19259 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: What is the first derivative of -23*f**4 - 14*f**3*o - 2*f + 28*o + 13 wrt f?\nAnswer: -92*f**3 - 42*f**2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 100 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 9*c**2 - 9*c - 8. Let x = -10 - -17. Let h = -80 - -92. What is the smallest common multiple of t(x) and h?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 33503.625 from 31545.\nAnswer: -1958.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -62 + 40 - (-4 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -25 - 27*t + 1506*t**2 - 1548*t**2 - 2. Let l(a) = -6*a**2 - 4*a - 4. Determine 4*c(u) - 27*l(u).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, t: 1, e: 1, q: 1, x: 1, y: 1}. What is prob of picking 1 e, 1 y, 1 g, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 191, 192, 193, 194?\n\"Answer: q + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-5))\/((-44)\/(-660))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -0.004533536.\nAnswer: -15.995466464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -213 - -229. Solve 0*i = 4*i - d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -12*g - 5. Let j be r(-1). Suppose -j*u + 12 = -u. Let n(q) = 5*q**2 - 8*q**3 - 8*q**u + 5*q**2 - q + 0*q**2. What is n(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-16))\/u**(-2\/35))**44)**(-16\/7) assuming u is positive.\nAnswer: u**(-420288\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 21\/2 of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-27 + 14 - 62) + 0 + 7 + -6\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**8\/42 + r**7\/35 + r**4\/8 + 4*r**3\/3 - 2458*r**2. What is the second derivative of d(h) wrt h?\nAnswer: 160*h**3 + 72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -693.39 - -693.38966451. What is c rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/109 in 3, -5, 0.44?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*n**3 - n - 1 - 2*n + n in the form v*n + p*n**3 + f*n**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1272 (base 8) to base 9.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 8881*y**2 - 297*y - 17. Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 - 9*z**2 - 25*z + 273. Let f be t(9). Calculate the highest common factor of f and 544.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08585 * -0.2\nAnswer: -0.01717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of -35*z**4\/4 - 2*z**3 + 6*z + 1465. Let k(t) = -t**3 + t**2 - 1. Give 6*k(s) + v(s).\nAnswer: -41*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (88\/(-33))\/((-20)\/15). Suppose -3*k + 4*k = 4*r + 5, 5*k - 25 = -z*r. Which is smaller: r or 9\/88?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 6 + 1)*(6 - r - 6)*(2 - 5*r - 2).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8  (b) -1  (c) 61  (d) 0  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -102?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -226, -447, -670, -895?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -4*l - 9. Let r be (11 - 15)\/(-1 - -3) - 1. What is w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*m - 32*m + 144 = 23*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2179 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**2 - 293193*l - 586390 = 0. Calculate l.\nAnswer: -2, 293195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 11:34 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 260249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*s + s. Is 81 - s\/((-6)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssssssqqdqqsqsdqqq. Give prob of picking 1 d and 2 q.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3\/5 + 84654*f**2 - 15023313459*f\/5 + 6587172006228\/5.\nAnswer: -3*(f - 70323)**2*(f - 444)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 370586*m + 464380.\nAnswer: 370586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(128)*2 + -5 - (sqrt(128) + -2*sqrt(128)*-4) - ((-2 + sqrt(128)*4 - sqrt(128)) + (sqrt(128)*2*-6 - sqrt(128)))))**2.\nAnswer: -576*sqrt(2) + 4644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.08 - 0.08. Let i = l - 1. What is the nearest to i in -0.3, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**3*x**3 + k**3*x**2 + 3738*k**3 - 31*k**2*x**3 - 14*k**2*x**2 wrt k.\nAnswer: -6*x**3 + 6*x**2 + 22428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 587302310.\nAnswer: 2, 5, 7, 197, 42589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2843109, -2843164, -2843259, -2843394, -2843569?\nAnswer: -2843784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 2\/73164685?\nAnswer: 2\/73164685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 + 27*o + 140. Let f be y(-20). Suppose 2*c + 2*z = -2*c + 1434, f = 3*z - 15. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1612 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2798283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 8 = -2*v - 0, 0 = 3*v + l + 3. What is the least common multiple of 7*2 - (-8)\/v and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -120*v - 191. List the prime factors of i(-9).\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 678*f - 19. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**2\/3 + 13657406*m\/9 - 1011660 = 0.\nAnswer: -2276235, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + n - 1. Let j(q) = 6*q**3 - 2*q + 4. Let z = 2 - 6. Let s = 45 - 45. Let p be (-7)\/(42\/2)*(s + 3). Give p*j(m) + z*l(m).\nAnswer: -2*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (336\/(-36))\/(4\/3 + -2). Suppose 88 = 4*r - 2*r + 2*j, 0 = -3*r - j + 128. Calculate the greatest common factor of i and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -21555, 0, -3, 2 in decreasing order.\nAnswer: 2, 0, -1, -3, -4, -21555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5 - 23435\/(-2924)*(-96)\/154 and 26\/595.\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2 + 137*f + 184. Give z(-5).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 0 + 0*g**5 + 0*g**4 + 0*g - 1340\/3*g**6 + 3*g**2 + 0*g**3. Let x be l(5). What is x rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 5*n + 17501 = 9*u, -u - 5*n = -1939. What is the greatest common divisor of 48 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16849 times -890\nAnswer: -14995610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -w**6\/42 - w**5\/20 - w**4\/42 + 8*w. Solve g(r) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**4\/12 - 17*d**3\/6 + 1174*d**2. Let p(w) be the second derivative of w**3\/6 + w. Determine p(i(a)).\nAnswer: -2*a - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10574.01853094 + 135.\nAnswer: -10439.01853094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 23 = x, -5*x = -2*x - 5*d + 27. Let u = -8 - x. Let n be (4\/u)\/((-2)\/3). Is n greater than or equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -866 - 2?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1595 + -3189\/2. What is the fourth smallest value in v, 0, -28, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 9\/6 - (-555)\/6. Let x = -137 + t. Let g = -11 - x. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 + 5*w**2 - w + 2. Let z be l(5). Suppose 3*f = -f - f. Let c be ((-35)\/(-25) + (-2)\/10)*190\/(-57). Put f, c, z, 1 in descending order.\nAnswer: 1, f, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187) + sqrt(187) + (sqrt(187) - (2*sqrt(187) - sqrt(187))*2) + sqrt(187))\/(sqrt(11) + sqrt(44)\/(sqrt(4) + sqrt(64))).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b + 22*o = 24*o - 29, 4*b = 2*o - 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*j = -172*j + 94 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 490 divided by 85.\nAnswer: 98\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 1\/((-72)\/276)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of o**6\/120 - o**5\/60 + o**4\/12 + o**3\/6 - o**2. Let i be z(2). Solve 4*a - 5*p + 16 - 3 = 0, i = -4*a + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 51, 177, 379, 651, 987?\n\"Answer: -f**3 + 44*f**2 + f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4906 in -1, 27, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 908 is divided by 299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 457822 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -9*q + 117\/50*q**6 + 1 + 4\/5*q**3 + 0*q**2 - 17\/5*q**4 + 183\/50*q**5 - 81\/70*q**7. Let g(s) = 0. Calculate s.\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 146 and 10?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -349*d**4 + 208.\nAnswer: -1396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11313 - -44?\nAnswer: -11214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5885 + s - 12268 + 6131.\nAnswer: s - 252","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.1*-18.\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2  (b) 4  (c) 7\/3  (d) -10072  (e) -1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91 + -36. What are the prime factors of (16\/10)\/(2\/a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-113)\/((-114356)\/552))\/(28\/(-11))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 314 less than 313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 223209 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-2 - 1 + 16)*(-6*q + q - 3*q).\nAnswer: -104*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -450*g - 50 = 4*n - 448*g, 46 = -2*n - 2*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*341503.\nAnswer: 3415.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.37343 rounded to 3 decimal places?\nAnswer: 0.373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1328277 and 3198.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g + 7 + 68 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(99) - ((-2 + sqrt(99) - sqrt(99))**2 + sqrt(99))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1263\/37890*(-3)\/2.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 293453333?\nAnswer: 6763, 43391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 20001210000012221?\nAnswer: 20001210000012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z + 10. Let o be d(-10). Suppose -21*b = -137 + 32. Is (-2)\/(b\/o + 0) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 - 0.3. Let g = -5.7 + 6. Let m = g - 0.1. Which is the second smallest value?  (a) m  (b) j  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + -2. Let g be (r\/6)\/((-1)\/6). Is -55*(-3 + -2 + g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 74974, -2, 888, 0 in ascending order.\nAnswer: -2, 0, 888, 74974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3039997.\nAnswer: 3039997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 11:37 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-13)*((k**(6\/5)\/k*k)\/k)\/k)\/(k**(15\/8)\/((k*k**19)\/k)) assuming k is positive.\nAnswer: k**(133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*o**2 - 20*o - 3*o**2 + 8*o**3 + 19*o + 99 - 102 to s + u*o**2 + v*o + l*o**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*f - 120*f + 14 = 0. Suppose 3*g = -o - f, 0*o + 15 = 3*o. Put 0, -6, g in descending order.\nAnswer: 0, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51.3 + -26.3. Let v = -26.96 - -2.36. Let l = v + x. Which is the biggest value?  (a) -5  (b) 3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 231062 and 231062?\nAnswer: 231062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i - 2. Let y(r) = -4*r - 10. Let u(k) = -16*f(k) + 3*y(k). What are the prime factors of u(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x**(4\/5))*x*x\/(x**(-2\/21)\/x*x))\/(x**(-1\/2))**(-24))**(-11) assuming x is positive.\nAnswer: x**(12364\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3539293 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 32208352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Total of 1864 and -250446675.\nAnswer: -250444811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13 - (15 - 65)) + -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/27 and -47\/9743091.\nAnswer: 87687819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 1:13 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 5 = y - 0*y, -4*w + 28 = -4*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*g**2 - 23*g - 25*g + 2*g**4 - 184*g + 264*g + 64 - 2*g**3 = 0 for g.\nAnswer: -4, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -6 - -1) + 1 - 6 - (-2161 - -2219)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 2, -3, -743, 23, 9 in descending order.\nAnswer: 23, 14, 9, 2, -3, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w**2 + 69*w + 30. Let v be i(-26). What is the highest common divisor of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 53907719.4 rounded to the nearest 100000?\nAnswer: 53900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 12:01 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/7, 2, -12.2, -4, -43\/3423?\nAnswer: -12.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {d: 1, g: 2, j: 2, i: 1, x: 1, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 220 and -4.91?\nAnswer: 224.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6 - -11 - (2 - -3). Let g be 4 - (-38 + 0 + o). What is the highest common divisor of 56 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lbmvdmt. Give prob of sequence mvtm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/3)\/((-56)\/(-12) + -6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(567) + (sqrt(63) + -4 - sqrt(7))**2 - (1*1*(-2 + sqrt(343) + sqrt(343)))**2.\nAnswer: -1332 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, 0.3, 17, 0.15, -22?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011010001010000001111010 + 101?\nAnswer: -10011010001010000001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 4*m**3 + 14*m**2 + 90*m. Let n(v) = -v**3 - 3*v**2 - 18*v. What is 14*n(d) + 3*p(d)?\nAnswer: -2*d**3 + 18*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 26*m**2 + m - 1. Let t be w(1). Let v be 2\/7 - t\/(-7). Solve 0 = -d - 4*h - h - 9, v*h = 3*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of 3*n**2\/2 - 1. Let q(z) = -6*z**2 - 2*z**2 + 10*z**2. What is q(b(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(2\/17)*x*x**(1\/6))\/((x*(x**(-1\/2)*x)\/x)\/(x**6\/x*x)))\/(x**(-1)\/(x\/((x*x**(-1\/5)*x)\/x)))**(-1\/27) assuming x is positive.\nAnswer: x**(5921\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 8*j - 73. Determine q(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2e - 6266b?\nAnswer: -6269a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 912 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 10*x - 8. Determine m(8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 53062449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*(p*p\/(p\/(p*p*p*p**(-2\/23))))\/p*p)**1*p*p**(-1)*p\/(p*p\/(p*p**0\/p*p*p)*p) assuming p is positive.\nAnswer: p**(136\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18\/7?  (a) 11  (b) -0.1  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 38180520 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 337 = 207. Suppose -6*q = -2*q - o. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 - 3*t - 12*t**2 - 17*t**2 + 22 - 2.\nAnswer: -28*t**2 - 3*t + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/9)\/(4\/9024*-4). Let b = f - -1350. What are the prime factors of b?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 14*s - 557. Calculate v(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w**3 - w + 1. Let d be s(-2). Suppose -8 = 17*r - d*r. Solve r*g - 4*f - 3 = g, 5*g + 3*f - 34 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -2\/5, 2\/17, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d + 4*d + 15. Solve d*r = 7*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011211101 - 2002112?\nAnswer: -1020220220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -5.314?\nAnswer: -15.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 51 - -30. What is the first derivative of -404 - 86*q**3 + z - 28*q**3 wrt q?\nAnswer: -342*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.33 - -0.03. What is the biggest value in 0, -1, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -12. Find the common denominator of 2\/t + (-874)\/140 and -97\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**2. Suppose x - 2 = 4. Let p = x + -4. Let k(j) = 0*j + p*j - j. Give k(w(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of -5*t**2\/2 + t + 909. Let z(o) = -26*o + 5. Determine -11*s(b) + 2*z(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 2:14 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -163*u - 1752*u - 2987*u as m + l*u and give l.\nAnswer: -4902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1156 + -1163. Put u, 1, -6 in decreasing order.\nAnswer: 1, -6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3151262 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: Is 3605825 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1539 divided by -57\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2191427095.\nAnswer: 5, 11, 13, 3064933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1371810, -1370854, -1369268, -1367058, -1364230, -1360790, -1356744?\nAnswer: -1352098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**4 + 0*b**3 + 0*b**3)*(b - 9*b + b + (0 + 2*b + 0)*(0 + 3 - 1)).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16395, -32801, -49245, -65745, -82319, -98985?\nAnswer: -115761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7\/(-21)*0)\/(-1). Suppose y = -3*q + 41*q - 252206. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 15*a - 8. Calculate k(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) 2\/13  (c) -0.419  (d) -10  (e) 0.24  (f) -4  (g) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/393 and 3\/16809527?\nAnswer: 50428581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129613.\nAnswer: 11, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 + 104 = -2*w. Let n = 18 - 7. What is the least common multiple of (w\/(-18))\/(2\/3) and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 21.81 - -1.19. Which is the second smallest value?  (a) -1\/2  (b) 4  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106742?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.063 + -0.163. Let f be (4\/16)\/(5\/(-720)*-39). Which is the second biggest value?  (a) -2  (b) x  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 2*q = -36, 35 = -2*k - 118*q + 113*q for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 2*c - 3*c)*(-11 + 11 - 5*c**2) + (-4*c + 4*c - 2*c)*(-3*c**2 - 2*c**2 + 3*c**2) + (283*c**2 - 137*c**2 + 109*c**2)*(2*c - 4*c + c).\nAnswer: -256*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 10. Suppose 0 = -6*t + q*t - 1266. Let f = t + -277. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 41. Which is the closest to 7?  (a) 0.1  (b) y  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 49012, 48999, 48986, 48973, 48960, 48947?\n\"Answer: -13*n + 49025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 106\/10 - 4\/(-10) and (64\/48)\/((-4)\/(-9)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -20, -2*p = -4*x - x + 40. Let z be 10\/4*(-12)\/p. What is the units digit of (-70)\/(-4) - z\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.1203708 millennia?\nAnswer: 12.03708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 42667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 226 = 3*o, -5*o + 157 + 225 = 2*x. What is the first derivative of -126*t + 10*t + 5*t - 103*t - 48 - o wrt t?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3014645740.3 + 3014850494.39961. Let b = o - 204741.1. Let h = 13 - b. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 0*w - w - 5 + 4*w**2 + 2*w + 12. Is t(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -t**7\/280 - t**6\/120 + t**5\/10 + t**4\/2 - 5*t**3\/3 - 2*t**2. Let y(q) be the first derivative of p(q). Factor y(u).\nAnswer: -3*(u - 2)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16.8 + 19. Let q = v - 1.2. Let g = 0.3 + -0.2. What is the nearest to -0.1 in 0.4, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 170*24\/240 + -16 + 6\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 422*l**3*x**3 - 8*l**3*x + 2749*l**3 - 20*l*x**4 - 3*l*x - 3*l + 4*x**2 wrt x.\nAnswer: 2532*l**3*x - 240*l*x**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3394 (base 10) to base 3\nAnswer: -11122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of v**2\/2 - 9*v + 1. Let q(r) = 2*r**3 + 9*r**2 - 18*r. Let a be q(-6). Give c(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -3 - 13. Let w be ((-8)\/(-18))\/(x\/(-18)). Which is the biggest value?  (a) w  (b) 3  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74 + 146 = 48*h - 264 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3130*d - 11 = -3141*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -75828*x**4 + 23949*x**2?\nAnswer: -1819872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + d - 4 - 4 = 0, -8 = -4*z + 2*d. Differentiate 2*c - z*c - c + 1 - 3*c with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -214 divided by -13\nAnswer: 214\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 7 = -v. Suppose -7*l + 4*l + v = 0. Solve 0 - 5\/4*p**l - 1\/2*p + 7\/4*p**3 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, m: 3, k: 1}. What is prob of picking 1 k and 2 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119981303, 119981299, 119981295, 119981291?\nAnswer: 119981287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2 + 2*a + 58. Let x be s(-7). Let t(z) = -z**2 + 5*z - 2. Let h be t(4). Sort h, 9, x in increasing order.\nAnswer: x, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 5:40 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - j**2)*(5 - j**2 - 5) - 573*j**2 + 20*j**4 + 573*j**2 + 1 - 1 + 2*j**4 in the form f*j + m*j**4 + h*j**3 + l*j**2 + r and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -w + 25, -x = 3*x - w - 41. Let f be 6\/(4 - 2) - -1. Is -307*(x\/(-4) + 2)*f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572838 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55035 (base 15) to base 16.\nAnswer: 41ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000011 (base 2) in base 9?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g + 2*g - 56 + 44 = -2*f, -20 = -5*f - g + 4*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-20)\/(-35))\/((-4)\/(-14)). Let x be (0 - 6)*d\/(-3). Let l be 1 + x*(-2 + 3). Solve -c + 4*v - v = 15, -l*c - 31 = -4*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -10 - -5 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36*-17.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*o - k, -504*k + 505*k + 16 = 2*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z + 7. Let j(x) = -3*x + 5. Let d(v) = 3*i(v) - 4*j(v). Let n = 1 - -1. Determine d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**6\/240 - 13*v**5\/120 - 3*v**4\/4 + v. Let a(z) be the third derivative of q(z). What is the units digit of a(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/1*(-25)\/(-15). Let f = -4\/3 + s. Which is smaller: f or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**3 + 3*d**3 - d**3)*(-2 - 2 + 3)*(2*d - 1 + 1).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of -v**6\/120 + v**5\/60 + v**3\/6 - 3*v**2. Let q(y) = -2*y**3 + 5*y**2 + 2*y + 8. Let t(a) = -l(a) + q(a). What is t(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-48 - 25 + 18)*(-50*m + 2*m + 4*m) + 4*m - 2*m - m.\nAnswer: 2421*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (5 + (sqrt(1377) + 1 - sqrt(1377)))*2*4 + 1)*6)**2.\nAnswer: 86436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - 2. Let t be w\/9*6\/(-4). Let l be (2\/2)\/(t\/6). Solve d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4837*a - 25*a**3 + 59*a**5 - 2*a**3 + 0*a**3 + 26*a**3 + 13241*a wrt a?\nAnswer: 1180*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 7107585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00304395226 rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 5*f**3 - 4*f**2 - 17*f. Let r(l) = 5*l**3 - 5*l**2 - 16*l. Determine 4*r(h) - 5*z(h).\nAnswer: -5*h**3 + 21*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*y + 54*y - 19*y - 9*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/2)*v*v*v*((v*(v*v**(-2\/31))\/v)\/v)\/v)\/((v*v*v**5)\/v**(2\/7))*(v*v\/v**0)**(4\/5)*(v*v*v**(-1\/3))**(2\/89) assuming v is positive.\nAnswer: v**(-1530371\/579390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -8*u + 9. Let z(k) = 3*k - 3. Let d = -2 + -2. Let x(t) = d*g(t) - 11*z(t). Let c be x(-8). Solve 0 = c*s + 15, 17 = -n - n - 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 2*d + 3. Suppose -2*y + j + 11 = 2*y, -2*y - 5*j = -33. Suppose -5*s + 24 + 41 = -y*g, -25 = 4*g + 3*s. Let b = 8 + g. Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6816338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2 + sqrt(720)*-2 - sqrt(720) - (-1*(sqrt(720) + 2*sqrt(720)) + sqrt(720) + sqrt(720))) + -3 + -2 + 2)*2)**2.\nAnswer: 960*sqrt(5) + 11620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/225*-11*21\/1 and 40\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, y: 3, v: 2, g: 9, x: 1}. What is prob of sequence yvy?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (-1 + -3 - (34 - 41 - 3)) - 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12285 millennia in centuries?\nAnswer: 1.2285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 5*l**2 + 3. Let f be (-13)\/(-4) - (-1)\/(-4). Suppose 5*h - f*g - 192 = 0, -h - 3*g + 60 = h. What is the remainder when h is divided by x(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0075375224 to five decimal places.\nAnswer: 0.00754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 169, 163, 155, 145, 133?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i**3 + 4*i**2 + 4*i + 7. Let d = 15 - 18. Let r(v) = 6*v**3 - 4*v**2 - 4*v - 8. Let q(w) = d*r(w) - 4*z(w). Is q(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 160 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 211354 and 134498.\nAnswer: 1479478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.17914 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 27 = 24. What is the remainder when ((-17)\/51)\/(1\/a) + 61 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(1\/2)\/(i\/((i**(-2\/11)*i)\/i))*(i**(-1\/3)\/i)\/i*i**(1\/3))**(-2\/61) assuming i is positive.\nAnswer: i**(59\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 865*m - 905*m - 939*m + 634 - 746*m wrt m.\nAnswer: -1725","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 276*t**2 - 37*t**3 + 52*t**3 - 281*t**2 - 3 + 4.\nAnswer: 15*t**3 - 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 4*c**2 - 3*c - 6. Let j be n(5). What is the units digit of (2*j)\/(5\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35666\/(-3147))\/(((-2)\/6)\/((-4)\/8))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*r = 5. Let h(d) = 9*d - 2 + 2 + 2 + 0. Let i(x) = -14*x - 3. Suppose -c = -2*c + 8. Calculate c*h(t) + r*i(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1071682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 7 + 1 - 1*4. Let t = 0 - 0.1. Let m = t - 0.1. Which is the nearest to l?  (a) 4  (b) 0.2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54981 is divided by 353.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 0 - 12 - 4*z - 2*z - 2. Let s(r) = 2*r + 5. Let t(v) = -3*f(v) - 8*s(v). What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(185*c**4 + 27*c**5 - 58*c**5 - 183*c**4 - 8*c**2).\nAnswer: -62*c**5 + 4*c**4 - 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10137 and 41093.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + 3*b**2 + 4*b**4 - 11 - 2 + (5*b**4 - 4*b**4 - 9*b**4)*(4 - 6 + 5) to p*b + z*b**4 + v*b**2 + a*b**3 + d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4331\/(-11102) + (1 - 162\/156)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-442)\/(-221))\/(14*8\/5320)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 2\/125 of a millimeter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 235965 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 148*i**3 + 19*i**2 + 4*i.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1103568 by 996.\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**3\/4 + 39869619*u**2\/4 - 33116390800476*u + 33116380833072 = 0. Calculate u.\nAnswer: 1, 6644936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 832*w - 12. Let l be x(7). Let q = -4096 + l. Suppose -2817 = -4*c - 2*y + 4113, c - 5*y - q = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(2\/15))**(-6)*d*d**(-7)*d**(-8)\/d assuming d is positive.\nAnswer: d**(-79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 512 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2cc (base 16) to base 11.\nAnswer: 5a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -d, 0 = -4*y + 5*d - 18 + 142. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + -2 - (7 + -15). Suppose -5*j + 27 = m, 4*j - 106 - 34 = -d*m. Suppose m = 6*w - 5*w. Is w a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 16 = 3*q, 71*q - 74*q + 20 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-54)\/(-27))\/(0 - -9 - 1). Which is the fourth smallest value?  (a) y  (b) -0.1  (c) 1\/7  (d) -5  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -268 + 377. Suppose -38 = -r*w + 107*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 1 + 14 = 0. What is the units digit of 68\/3*r\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -5*p + 13. Let b be a(9). Let n be -2*4\/b + 0. Factor -1\/4*t**2 - 1\/4*t**5 - 1 + 5\/4*t**3 - 2*t + n*t**4.\nAnswer: -(t - 2)**2*(t + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 650, 649, 648, 647, 646, 645?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25 - -72. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 19495 and 2383 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrccbrbrrcc. Give prob of sequence crc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of 3*p**2\/2 - 20*p + 1. Let x be w(8). Suppose 3*f + 0 = -2*n - 3, x*n = 3*f + 21. What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-5\/6)\/((k*k*k**(2\/15))\/k))**37 assuming k is positive.\nAnswer: k**(-2183\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5*w - 146 = 132, z - 2*w = 78. What are the prime factors of z?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -61 - -56. Which is the closest to -1?  (a) z  (b) -3  (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -2*1\/2)*2. Solve 4*f + 2*m + 14 = 0, 0 = c*f + f + 3*m + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 times -0.01\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, g: 3, p: 1}. Give prob of sequence gs.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) -2\/5  (c) 11417663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**2 + 10*i - 2*i - 5*i + 2. Let a be 8\/(-6) + (-3)\/(-9). Let q be g(a). Solve q*v = 5 - 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - (1 + sqrt(432))) + 5 + (1 + sqrt(432) + 0)**2.\nAnswer: 24*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 108*x**2 + 2046*x - 7714. Determine p(85).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 511007 = -10195*p - 2318*p + 1864*p - 958555 for p.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -36190000 rounded to the nearest one million?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 38901\/31823 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31583.12 rounded to the nearest ten?\nAnswer: 31580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**2 + 0*m**2 - 5*m**2 + (-2*m + 9 - 9)*(0 + 0 + 2)*(3*m - m + 0*m))*(3*m - m - 8*m).\nAnswer: 78*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.11934 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 7 - 12) + -2 + 11 - -8 - -23.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w - 13*y + 9*y + 5, 3*w = -5*y + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 145654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3598137722 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-57)\/4275)\/(1\/(-5)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 0*l = l - 16, 5*l = -2*t + 12. Let q = 2 + -2. Let u = 0.053 - -4.947. Which is the nearest to 1\/4?  (a) q  (b) t  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express h**3 + 0*h**4 + h**3 - 4*h**4 + 3*h**4 + 2 as f*h**3 + g*h**2 + c*h**4 + j*h + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1728602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of l**6\/15 + 256*l**5\/25 + 576*l**4 + 40960*l**3\/3 + 102400*l**2 + 4050. Determine w so that b(w) = 0.\nAnswer: -40, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143 = 10*t + 82*t + 32*t + 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76*l**3 + 4*l**2 - 9*l - 6901?\nAnswer: -228*l**2 + 8*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - (7 + -8 + 16 + -3) - 61 - 8.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Suppose -5*o + 50 = -2*o - l*s, 0 = -5*o - 4*s + 54. Calculate the highest common factor of 112 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60) - (-1*sqrt(540) + sqrt(540) - sqrt(540)))\/(sqrt(108)*3).\nAnswer: 4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*5)\/sqrt(4) + (sqrt(684)*-2)**2.\nAnswer: 5*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -414.16*-2\nAnswer: 828.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 0 - 8 = 0, -4*z + 24 = 2*a. Let k be (-3)\/z*(-2 - 13). Solve -5*b = -k - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 45*u**2. Let r(v) = 902*v - 312. What is r(k(g))?\nAnswer: 40590*g**2 - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-14*6\/(-147))\/((-21)\/(147\/158))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3012\/2575 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32.8 - -4.8. Let b = 27.16 + i. Round b to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, 1\/5, 87?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -5, 35, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 6, s: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 19495286189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 14522929 and 14522930 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 + -46. Let a(z) = 14*z + 11 - 22 + r + 5. Let p(g) = -g**2. Give p(a(x)).\nAnswer: -196*x**2 + 140*x - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of (-256 + 30\/(-5))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156 a factor of 11612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -8*o**3 - 11*o + 26. Let l(z) = -3*z**3 - 4*z + 9. Determine 11*l(v) - 4*x(v).\nAnswer: -v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -521843 >= -521843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.106496639 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 8060000 rounded to the nearest 100000?\nAnswer: 8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 287 a factor of 11313827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(((-56)\/7)\/(-8))*1404\/(-104).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 50974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 182842839 - -0.0697?\nAnswer: 182842839.0697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 61*b - 50*b - 13*b**2 + b**2. Let j(c) = c**2 - c. Let n(w) = 2*g(w) + 22*j(w). Let t(a) = 2*a + 0*a - a. Determine n(t(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - -0.1. Let z = 0.8 - -0.2. Let r = z + -1.4. Which is the second smallest value?  (a) l  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 - 31*o - 124. What is s(-27)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 1\/5929?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -35310 to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 0*t - 15 = 0. Let z(n) = -n**3 - 2*n**2 + n + 1. Let u be z(t). Suppose 0 = -u*d + 2*d + 20. Solve g + 2*g = 0, -4*g = d*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -32?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 33498317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -122, 151, 424, 697?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + 1. Let t = 85 + -40. Suppose 45 = a + y*p, 0*a - 3*a + 3*p = -t. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4353 - 213?\nAnswer: -4566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 38 = 3*f + 78, 0 = 5*f - i + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*f + 2*o = -507, f + o - 107 = 0. Let t = -70 + f. Find the third derivative of -4*k**2 - t*k**3 + 42*k**3 + 22*k**2 wrt k.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2586412555.\nAnswer: 5, 17, 30428383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 16*c + 3. Let w be v(4). Suppose 150*l + 138*l = 280*l + 1608. What is the highest common factor of l and w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -22, 34.05, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 4*o - 10 = 0, -10*v = -7*v - 5*o + 14. Let y be v\/((-225)\/805) - 6\/(-10). Which is smaller: 11 or y?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 169, 329, 489, 649?\n\"Answer: 160*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 173, 339, 491, 623, 729?\n\"Answer: -r**3 - r**2 + 176*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-3))\/(9\/(-27))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(27)\/(sqrt(9)*5) + -3 + (sqrt(75) - sqrt(3) - sqrt(3)) + sqrt(12)\/sqrt(4) + -3.\nAnswer: -1 + 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(12) + sqrt(12) + sqrt(768)*-1)\/((sqrt(8)*1)\/sqrt(2)) + (3 + sqrt(75) + 2 - sqrt(75))**2 + -1.\nAnswer: -6*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kokpk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 820*m - 8123. Calculate n(10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t + 2. Suppose -7*g + 5*b = -11*g - 10, 2*g - 3*b + 16 = 0. Let z(a) = -6*a + 6. Give g*z(o) + 16*w(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**4 + 0*h**4 + h**4)*(2*h - 2*h - h + (-3 + 4 + 2)*(h - h + 2*h)) + (5*h**5 - 2*h**5 - 2*h**5)*(0 - 1 + 3).\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {s: 2, v: 3, w: 4, y: 1, k: 1}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - -3 - (4 + 0) - 30.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and ((-15)\/25)\/(3\/(-45)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/5 + 1112*b**2\/5 + 58189*b\/5 + 57078\/5.\nAnswer: (b + 1)*(b + 54)*(b + 1057)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-8)*z**(-7))**(-4\/11) assuming z is positive.\nAnswer: z**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) 0.12  (c) 0.4  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 9 - 7 - 7*b + (-1 - 2 + 1)*(-3*b - b + 2*b) in the form f + c*b and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 306  (c) -1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 256028234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, z: 1, n: 1, i: 1, k: 1}. What is prob of sequence iz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/5 - 26637*f\/5 - 2751994.\nAnswer: -(f + 527)*(f + 26110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/m**3*m**(-4))\/(m**1)**(2\/33) assuming m is positive.\nAnswer: m**(-167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes after 5:34 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (21 - 13) - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-18) + ((-2030)\/63)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o - 100. Let s be p(-31). Let f(z) = z**3 + 4*z**2 + 9*z + 6. Let u be f(-2). Sort s, u, 6.\nAnswer: s, u, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 48 + -17. Let u(w) = -11*w - 171. Let h be u(-16). Let c = h + t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1374 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, o: 2}. What is prob of picking 1 z and 1 o?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2 = -7. Let a(c) = -11 + 0*c + 9 - c**v + c + c**2 + 0*c**2. Suppose -r + 0*r - 2*n = -2, -2*r = 2*n - 2. Determine a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/1326 and 55\/27?\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -6369\nAnswer: 19107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.62 - -0.62. Which is the second smallest value?  (a) -1\/5  (b) -2\/11  (c) n  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uyu when three letters picked without replacement from {y: 3, u: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -1 - 1. Suppose -o*d - 2*t = -7*t - 171, -4*t + 477 = 5*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -4*z + z. Let q be 4\/2 - (3 - z). Let i be 3\/q*2\/(-6). Which is the closest to -2\/5?  (a) 3  (b) i  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11616)\/242 + 1\/((-3)\/(-48))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259 divided by 1067?\nAnswer: 259\/1067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -9 - 12*o**2 + 9 - 5*o**2 + o**2 + 3*o**2 + (4*o - 1 + 1)*(4*o - o - o) - 8*o**2 + 21*o**2 + 14*o**2 in the form r*o + t + d*o**2 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5986209 and 377?\nAnswer: 77820717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -80*u**2 - 52*u + 49. Give n(1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t + t**2 + 0 + 2 + t + 17*t in the form h*t**2 + b*t + k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -427133 divided by -61019.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.4, -2\/5, -8, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-28))\/(4 - 369\/126)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (-1 - 3) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -140, -338, -656, -1154, -1892, -2930, -4328?\n\"Answer: -10*k**3 - 128*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 5, 7759.\nAnswer: -16, 5, 7759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 57.87686 centuries?\nAnswer: 5.787686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50086 and 7426?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-336)\/32)\/(24*7\/(-688))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -24*d**4 - d**3 + 11*d**2 - d. Let w(b) = -b**4 + b**3 + b. Let u(y) = -a(y) - w(y). Find the third derivative of u(h) wrt h.\nAnswer: 600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -n**4\/12 + 45*n. Let p(f) = 1 - 2*f - 1. What is p(r(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 490, 1208, 3236, 7228, 13838, 23720, 37528?\nAnswer: 55916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33267149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -985 + -2379111112.\nAnswer: -2379112097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -8 - 54*o + 1 + 7. Let i be g(-1). What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of 5*w**4\/2 + 2*w**3\/3 + w**2 + w - 1. Let z = 1 - 2. Calculate x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5379 a factor of 351646543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*o + 13885 = 12877 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2110 - 1309. Suppose 1004 = 5*h + d - 5*d, d + v = 4*h. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.94454 + 0.05546. Which is the second smallest value?  (a) z  (b) 2  (c) -4  (d) 0.1  (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1134 divided by 4\nAnswer: 567\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 569 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) -1  (c) 5926  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and 168.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 78*l**4 - 29*l**4 - 12*l**4 + l**2 + 10*l**3 + 13*l**2 - 15*l**4 to h*l**4 + u*l**3 + r*l + i + a*l**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 539397, 539409, 539399, 539367?\n\"Answer: -11*i**2 + 45*i + 539363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3055\/16 - -191. Suppose 17891 = -3*k + 815. Let n = 125117\/22 + k. What is the common denominator of n and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(6\/(-2)*(-102)\/36).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 209*w - 839. What is s(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.56 - -0.06. Put -3, 4, r in ascending order.\nAnswer: -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -18\/11, 3\/4, -131.482, 3 in descending order.\nAnswer: 3, 3\/4, -18\/11, -131.482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 4*f + 456 - 463 = 0, -8 = 2*t + 2*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 + 10*l**3 + 5*l**3 - 12*l**3 - 1 in the form a*l + y + u*l**3 + n*l**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - 0. Let h be (i\/(-10))\/((-2)\/(-40)). Suppose 4*f - 120 = -0*b - 5*b, -b + 3*f + 5 = 0. What is the highest common factor of b and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 1\/49  (c) 1.2  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.78275 - -369.29275. Let y = -367 + f. Round y to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 290421371 to the nearest 10000.\nAnswer: 290420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-7\/5)\/((q**(1\/6)*q)\/q)*q**(2\/13)\/(q**(-2\/15)\/q) assuming q is positive.\nAnswer: q**(-109\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2247 divided by -9.\nAnswer: 749\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59380 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 48.51975 decades?\nAnswer: 0.4851975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -20 - -20.09. What is p rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2479\/44410 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is x in x**5\/2 - x**4 - x**3\/2 + x**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 2\/11  (c) -8  (d) 27  (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of 1\/6*w**3 + 1\/12*w**4 - w + 11*w**2 + 0. What is p(9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/49737905 and 71\/56843320.\nAnswer: 397903240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(6\/(-8)))\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 513, 2051, 4613, 8199?\n\"Answer: 512*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 65400 or 65393?\nAnswer: 65400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, 1\/6, -12\/11, -14\/23281, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 47, 174, 391, 704, 1119, 1642?\n\"Answer: k**3 + 39*k**2 + 3*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -20*o - 1. Let i(t) = 10*t + 12. Let m(v) = -v - 1. Let h(p) = i(p) + 12*m(p). Give z(h(f)).\nAnswer: 40*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.663*6.\nAnswer: 15.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*v - 21 - 85 = 0. Let h(x) = x + 1. Let a(n) = -6*n. Determine v*a(m) + 5*h(m).\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of 5*u + 0*u**6 + 0*u**5 + 0*u**3 + 2\/3*u**4 + 0*u**7 + 0*u**2 + 1\/8*u**8 + 0. What is the third derivative of q(r) wrt r?\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-29 + 1 + 0)*(0*m**4 + 4*m**4 + 2*m**4) - 4*m**4 + 4*m**4 + 2*m**4 - 2*m**4 - 4 + 4 as j*m**4 + v*m**2 + k + x*m**3 + l*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j**3 + 2248769*j**2 - 2617468*j + 2 wrt j.\nAnswer: -6*j + 4497538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*(f*f\/(f*f**5))\/f)\/(f**12*f))\/(f\/f**3)**(-1\/29) assuming f is positive.\nAnswer: f**(-495\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 630256 is divided by 7162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1317.\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16992*g = 17026*g + 204 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -715 + 720. Let w be (-38)\/(-8) + -2 + 1. Is w at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54363 (base 7) to base 16.\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 164 - 138. Calculate the greatest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002957 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-952)\/(-140))\/((-4)\/(-100)*10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 604 and 406492.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 36 - 36)*(3*r + r - 3*r)*(3*r**2 + 0 + 0) + 0 + 0 + r**3.\nAnswer: -68*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (19830\/(-24) - 6)\/(1\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191743482.\nAnswer: 2, 3, 7, 2039, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8346979 is divided by 473.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3864 and 106?\nAnswer: 204792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18493704 a multiple of 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 26*g + 25. Calculate the remainder when 932 is divided by b(-27).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 682213576 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16971712?\nAnswer: 2, 17, 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18, 37, 56, 75, 94?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**3\/7 + 6*q**2\/7 + 5*q\/7 - 12\/7 = 0. What is q?\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -m - 7*l, -2*m - 4*l + 2*l = -10. Suppose -2*h + m = -5*w - 46, 3*w - 129 = -3*h. Let v = -11 + 21. Calculate the remainder when h is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, l: 1}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 + 1.\nAnswer: -(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-210)\/(-252) + 49*(-1)\/30.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 2*i = -20. Suppose -h = i*h - 1265. Suppose 0 = 2*a + a - r - h, -2*a + 4*r + 172 = 0. What is the greatest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000787655 rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 20161 divided by 14\nAnswer: 20161\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 2*m - 1. Let w be v(-3). Let p(k) = -1 + 8*k**3 + 3 - 5*k**3 + 3. Let g(o) = -2*o**3 - 4. What is w*p(q) - 5*g(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3664*p - 3651*p - 143 = 0. Calculate the remainder when 184 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the third derivative of 0 + 1\/30*x**5 + 0*x + 0*x**4 + 0*x**3 + x**2. Let f(m) = m**2 - 17334*m - 4*m**2 + 7*m**2 + 17334*m. Calculate f(o(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4293898 to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.31, -18\/5, 5 in decreasing order.\nAnswer: 5, 0.31, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81662 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**2 - 947*t - 74349. What is z(-147)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 4*z + 4 = -15, z = 2*x + 7. Let u = 4 + x. Calculate the common denominator of -91\/2 and u\/(-9)*(-453)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.004012845 to six decimal places.\nAnswer: 0.004013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3318 - 6384. Let d be 2\/(-8) - j\/(-56). List the prime factors of (d - 0)*(-18)\/15.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -252*b - 793*b + 1043*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -533*l**4\/4 + l**3\/3 - 537*l**2 - 2483. What is the second derivative of n(z) wrt z?\nAnswer: -3198*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = -4*c + c. Suppose 0 = 2*o - 5*d - c, -o - 4*d = 4 - 1. Solve -o*m + m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**5 - 24*f**4 - 84*f**3 + 151*f**2 - 11. Let q(j) = 3*j**3 + j**2 - 1. Let m(n) = 11*q(n) - u(n). Solve m(a) = 0.\nAnswer: -5, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*t**2*x**2 + 29*t**2*x - 2*t**2 + 3*t*x**3 + 2*t wrt x.\nAnswer: 16*t**2 + 18*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -639*y + 55 = -634*y. What is the highest common factor of 176 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 1120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -119 - -171. Is 26 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes before 9:44 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 24, 1\/102, -3\/4, 3\/5, 0.4 in ascending order.\nAnswer: -5, -3\/4, 1\/102, 0.4, 3\/5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2341713 or 2341714?\nAnswer: 2341714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4, 1\/3, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(((-13)\/26)\/((-2)\/2)). Suppose -d*u + 116 = 2*s - 0*s, -120 = -2*s - u. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (9 - (-6 + 12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 68276201 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1553 = -12*s + 1927. Let d = -1 + s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21972324 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-20))\/((-86)\/43).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -16. Let j(u) = -5*u**3 - 7*u**2 + 8*u - 1. Let q(c) = 11*c**3 + 15*c**2 - 17*c + 3. Let z(v) = n*q(v) + 9*j(v). What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*z**3 + 1092*z - 1092*z - 8*z**3 - 1.\nAnswer: -21*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - p = -x + 18, 0 = -2*p - 2*x + 12. Suppose 2*w = 2*m + p*m - 13, 4*w + m = 29. Solve -2*n - 30 = 2*l - w*l, -n - l = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-3 - -6) + 6 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (62209 - 62209 + 7652*n)*(-3 + 0 + 2) in the form l + u*n and give u.\nAnswer: -7652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16760 and 20112?\nAnswer: 100560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(25) - sqrt(225)*-2)\/(sqrt(605) + (1*sqrt(605) - sqrt(605))).\nAnswer: 7*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 254 and 114300.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*v + 4*v - 360265 - 668944.\nAnswer: -2*v - 1029209","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/(-6))\/((-4)\/(-168)). Let f be 1520\/w - (-2)\/(-7). Suppose 2*p = -0*p + f. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-192)\/(-112)*61\/(-183)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 458100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -2*b - 1. Let j(d) = 45*d - 5. What is -j(h) + 5*u(h)?\nAnswer: -55*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91 + -90. Which is smaller: b or -4\/119?\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (294\/(-91))\/(-14)*(16\/(-6))\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -2474b?\nAnswer: 24752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3541, -7091, -10619, -14113, -17561, -20951, -24271?\n\"Answer: 2*s**3 - s**2 - 3561*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 z when two letters picked without replacement from uydzhzthzdzhzzd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -3\/1115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.64 + -37.64. Let d = a - -16. Let v = d - -22. Are -0.26 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4 - 528*k**3 - 44625*k**2 + 45154*k.\nAnswer: -k*(k - 1)*(k + 107)*(k + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (-3 + (-5)\/(-1)). Let a(g) be the third derivative of 0*g**4 + 1\/60*g**5 + 0 + g**2 + 1\/6*g**m + 0*g. Find the first derivative of a(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27538, 55138, 82738, 110338, 137938, 165538?\nAnswer: 193138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*i - 2)*(-2 + 4 - 4)*(-2*i + 4*i - 3*i) + (0 + 0 - i)*(-2 + 2 + i) + 3*i**2 - 2*i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 10 = -2*l - 0, 4*s = l + 14. Suppose 25*k = 4*k - 105. Sort k, 0.5, s in descending order.\nAnswer: s, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 35\/8*7128\/4158. What is u in 75\/4*u + 3\/4*u**3 + v*u**2 + 0 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25838963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(-16)*3*-2 - -4. Let c(u) = 1. Let a(l) = l**2 + 8*l - 1. Let v(f) = s*a(f) - 6*c(f). Does 29 divide v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, p: 4, n: 4, u: 1, r: 1}. What is prob of picking 1 n and 1 u?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(500) - (sqrt(500) + 0))*5*-4)**2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -97280633?\nAnswer: -97280633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -6\/30335  (c) 3\/4  (d) 0  (e) 2\/13  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 279758, 2237595, 7551734, 17900327, 34961526, 60413483, 95934350?\n\"Answer: 279692*q**3 - q**2 - 4*q + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**3 + 124*o**2.\nAnswer: 2*o**2*(o + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000007438 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 4:05 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12954 and 234950?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26695?\nAnswer: 5, 19, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*m + 30 = -240 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d**(-1)*d)))**(8\/13))**1\/(d**(-4)*d**4\/d*(d\/d**(4\/7))\/d**(-5\/6)) assuming d is positive.\nAnswer: d**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14288*l**3 - 4*l - 14285*l**3 - 87 + 28573*l**3 + 186*l**4 wrt l?\nAnswer: 2232*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -840a (base 12) in base 6?\nAnswer: -150414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 1)*(3*s - 2 - 3*s + s + 0*s - 3*s + 2*s + (6*s - 3*s - 2*s)*(2 + 3 - 3) + 6*s + 13*s - 15*s)*(12*s + 125 - 125).\nAnswer: -216*s**2 + 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*j + 11*j + 4*j + (3*j - 5*j + 0*j)*(-1 + 3 - 1) + (4 + 4 - 4)*(2*j - 3*j - j) + 3*j + 0*j - 2*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 145?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -153?  (a) -5  (b) -10  (c) -2  (d) 0  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71463 is divided by 3869?\nAnswer: 1821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k + 7*k = 48. Let o(h) = -1982*h**k + 987*h**2 + 994*h**2. Let g(q) = -19*q**2 - 1. Calculate o(g(r)).\nAnswer: -361*r**4 - 38*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 6:41 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 10*s + 430. Give p(20).\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1854 and 42.\nAnswer: 77868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*m + 11*m + 5*m as u + b*m and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 32*a - 193. Let m be r(6). Let u be 1*m + 434\/310. Factor -u + 2\/5*d**2 + 3\/5*d.\nAnswer: (d + 2)*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zznz. What is prob of picking 2 z and 1 n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 5*t - 252*t + 29*t - 2.\nAnswer: -218*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3*(sqrt(117) + 0) + 2*sqrt(117)*-1)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + o + 1. Let f = 3 - 4. Let q(c) = 2*c**3 - 2*c**2 - 2*c - 2. Give f*q(i) - 2*m(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 19*d - 1470 = 0. What is the highest common divisor of d and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (258\/30)\/((-436)\/(-2180))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 116*n + 3758. Give t(136).\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 142\/(-228) - 12\/(-9). Let t = -4\/19 + w. Factor 0*g - t*g**2 + 0 - 1\/2*g**3.\nAnswer: -g**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 375 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.26 or 956?\nAnswer: 956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.9 + 3.9. What is the closest to 4 in 0.2, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -57433.\nAnswer: 2\/57433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5\/59 + -281\/531. Let y = -6\/131 + 352\/1965. Sort p, -0.5, y in descending order.\nAnswer: y, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -207*o + 176*o + 465 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {e: 4, h: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of 9*l**4\/4 + l**3\/3 - l**2\/2 - 47*l. What is the remainder when 82 is divided by z(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 769031?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 780 + 418 + 572 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (2 - -19 - ((9 - -4) + -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1691*h**2 - 5*h - 23805.\nAnswer: -3382*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*j + 2*n, 0*n + 5 = -3*j + n. Let p(k) = 2*k + j + 4 - 3*k. Suppose 2*g - 4 = 0, 4 = -i + 4*g - 8. Let t(u) = 1. Give i*t(a) + p(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -167, 0, 1\/323, 0.3 in increasing order.\nAnswer: -167, 0, 1\/323, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*x + 2*q, 5*x + 12 = -5*q + 52. Let p(o) = -o + 5. Let s(n) = -2*n + 10. Let a(v) = x*s(v) - 11*p(v). Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y**2 + 70620*y - 494144 = 0. Calculate y.\nAnswer: 7, 17648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360) + sqrt(360) + (sqrt(360) + sqrt(360) + (sqrt(360) - -2*sqrt(360)) - sqrt(360)))\/((sqrt(24) - (sqrt(24) - sqrt(384)))\/sqrt(3))*2.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -22. What is the remainder when 45 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/722892 and -139\/64182.\nAnswer: 13734948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**2 - 78044*u - 78043.\nAnswer: -(u + 1)*(u + 78043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 10:36 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 5, -0.5, 2, -2\/11, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 + -8)\/(-2 - -1). Let y(m) = i*m - 4*m + 4 + 2*m. Determine y(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + 10 + 1 + 0 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 10 - 7 + 10 - 6*j**2 - 4*j**2 - 11*j + j**3. Let c be d(11). Suppose 7*y - 6*y = c. Calculate the greatest common factor of 13 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 2*a + a + (3 + 1 - 3)*(0*a + 0*a + 2*a)*(0 + 5 + 4).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 25 + 7)*(-4*l - 17 + 17)*(0*l - 2*l - l) + (-9 + 2*l + 9)*(l + 2 - 2).\nAnswer: 350*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6343116 (base 7) to base 2\nAnswer: -10111011010000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.56 and 138014418912.\nAnswer: 138014418909.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + ((27 - 63) + 21 - 63).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 81*h - 6. Let t be d(-2). Let u be (-488)\/t - (-2)\/21. Let v(r) = 4*r - 4. Determine v(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) -1  (b) 0.4  (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + 0 + (-40 - -7 - -66 - -24).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -350, -4\/9, 0, -17, -0.5, -41?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -667034*v + 667034*v + 15*v**2.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((l\/l**(2\/3))\/l)\/l)\/l)\/l*l)**29)**(-21)\/(l**6*l**(-7)*l**4*l*l**(5\/2)*l) assuming l is positive.\nAnswer: l**(3233\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 325, 195, -21, -323?\n\"Answer: -43*u**2 - u + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 5 + 3 + 2 + 62*g**2 - 10. Let n(m) = 13*m. Give n(u(y)).\nAnswer: 806*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - 8. Let m = j + 3. Suppose 4*p = -3*s - 14781897 - 8318115, m*p = 5*s + 38499985. Round s to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from zda?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.03 - 1.372. Let u = -0.132 - o. Let j = 1.209755 - u. What is j rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 2*v + 3*v = 18, -v - 24 = -4*n. Let m be -5 + (11 - n) + 0. Let t = -652 + 30643\/47. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + 110*a + 1802. Give u(-88).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-138)\/575)\/(9\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of d**4\/6 + 11*d**3\/6 - 24*d - 43. Let g(i) be the first derivative of x(i). Let a(m) = 3*m. Determine g(a(s)).\nAnswer: 18*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*a - 112*a**3 + 14*a**2 + 310*a**3 - 22*a**2 + 6*a**2 + 110*a**3.\nAnswer: 308*a**3 - 2*a**2 - 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 + -3 - -1) + 3 - -81?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -583*w + 46225 wrt w.\nAnswer: -583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggfkkukkzkkukk. What is prob of picking 1 k and 1 f?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2 + 157884*v + 631472.\nAnswer: 4*(v + 4)*(v + 39467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/3 or 900?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvkvkbknddvdbkibkb. What is prob of picking 1 k and 1 i?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -60270 less than -16\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3035 - -1979. Let u = y - -1586. Round u to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 24 = -0. Let x = -9 + v. Let y(j) = 1 - 5 + 2*j**2 + 17*j - 17*j. Let t(h) = -2*h**2 + 3. Calculate x*y(z) - 4*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -165158, -660626, -1486394, -2642456, -4128806, -5945438?\nAnswer: -8092346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, -4\/5, -1\/3, 6890?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 3*m - 2. Suppose 4*d - m*y = -24, -6 = 2*d - d - 5*y. Let i(r) = -r**3 - 2*r**2 - 5*r + 3. Is i(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 52*d. Let u(m) = -m**2 + m + 1. Let j(x) = -2*x - 2. Let s = -22 + 21. Let i(r) = s*j(r) - 2*u(r). What is i(o(c))?\nAnswer: 5408*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) 0.5  (b) -40  (c) -355\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1735*k**3*o**2 + 179*k**3*o wrt o?\nAnswer: -3470*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b - 1. Let a(p) = -4*p**3 - 7*p**2 + 7*p - 29. Let q(d) = 3*d**3 + 6*d**2 - 6*d + 25. Let y(c) = 6*a(c) + 7*q(c). Give -l(i) - y(i).\nAnswer: 3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -90016 + -0.3\nAnswer: -90016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 not equal to 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 + 6*f - 4. Let j be r(8). Let c = j - -36. Solve -5*u - 6 = 5*h - c, -15 = -5*u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c - -a?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17477.41258 and -99306?\nAnswer: 81828.58742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, n: 4, m: 2, z: 4, s: 3, b: 4}. Give prob of sequence nb.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 10 = -4*k. Suppose -h = k*h - 12. Suppose -3*s + 13 = g, 3*s + 2*g = -5 + 19. Solve -4*t - 2*o = -h*o - 20, 16 = s*t - o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/((16\/36)\/4). Suppose -11 - q = -5*b. Solve -2*j - b = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -4*o - 8094*t + 8099*t, t = -3*o - 2*t + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 16*r**2 + 194*r + 18. Give s(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109*y + 109*y + 2637 + 2*y**2 - 1332 - 1292.\nAnswer: 2*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -175 = -2*x - 3*x. Suppose 0 = j + 3*g - 33, 3*j - 97 = 2*g + x. Suppose -4*w = -w - j. What is the least common multiple of w and 46?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 15*z = -1185. Suppose 5*r - z = 2*r - 2*c, -370 = -5*r + 5*c. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -2)\/((-8)\/(-36)). Suppose 0 = -4*h + q + 156, -3*h - 2*h + 198 = -2*q. Calculate the remainder when h is divided by 182\/9 + ((-7)\/n - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 6:51 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18348 - 18288.236. Round w to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -20*k - 17. Let a(h) = 17*h + 15. What is -4*a(y) - 3*g(y)?\nAnswer: -8*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 4*r + q + 50, 411*r - 4 = 410*r - 6*q for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -60 + 78 - (-4 + 23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 2*h**4 + 4 + (-h**3 + h**3 - h**4)*(-4 + 3 + 2) + 0*h**4 - 4*h**4 + 2*h**4 - 2*h**3 + 2*h**4 + 2*h**3 + h**2 - 2*h**4 - h**2.\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 14366795 - 128?\nAnswer: 14366667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 103173 (base 8) in base 12?\nAnswer: 17b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 259\/3 + -87. Let f = -11 - -22. Let n = -11.5 + f. What is the nearest to c in 1\/8, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*h**4 + 4*h - 9*h**4 + 12*h**5 - 16*h**5 wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence shgh when four letters picked without replacement from uhhsgghhhhhauh.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from 586718.\nAnswer: 586715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y**(3\/2)\/y*y)*y*y**(2\/63))\/(((y**(-28)\/y)\/y)\/y**(-25)))**(-28) assuming y is positive.\nAnswer: y**(-1142\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1144657 is divided by 739?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2112303131 + 21?\nAnswer: -2112303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4506655801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4532649400 rounded to the nearest one million?\nAnswer: -4533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 6.3. Let h = 5\/6 - 3\/2. Which is the nearest to f?  (a) -0.4  (b) -0.1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 + 7*b**2 + 8*b. Let o be u(8). Suppose 3*s - 9 = -o*s. What is the smallest common multiple of 0 + (-3 - -8) + s and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -4*z - 6, z + 5 = l - 7. Suppose 2*t = l + 2. Calculate the least common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 209 and 10767889.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33 and 717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, z: 7}. Give prob of picking 2 z.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3843691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -3*w - 3752. Let f = w - -8549. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + (-2*sqrt(1053))**2*5)*-4.\nAnswer: -84240 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iixx when four letters picked without replacement from {x: 9, i: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 9:07 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -4*q + 70, 4*j + 0*q = -2*q + 62. Let v = 47 + -125. What is the smallest common multiple of (v\/5 - 8\/20)\/(-2) and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + sqrt(68) + 1*sqrt(68)*-1)\/(sqrt(16)\/(sqrt(16)\/sqrt(4))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 621667 - 2*u + 3*u + 169*u**3 + u + u**4 - 621669 in the form m + n*u**3 + l*u**2 + c*u + t*u**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 6:17 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -20628150, -41256295, -61884440?\n\"Answer: -20628145*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 189*s - 191*s + 8 = 0, 16 = 4*i + 4*s. Let w = 15 + -9. Is i - -1570 - 12*w\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 6:33 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -199\/3811 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -33*7\/(42\/8). Let z = -42 - m. Suppose -z*k - 4*q = 6, 0 = 4*k - 0*k - q - 6. What is the smallest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 543 + -237. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 17734488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 2, 0.2, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v + 9689 - 19088 + 9438.\nAnswer: 2*v + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3 = 5*p - 31, 3*n - p - 34 = 0. Let o = -100 - -42. What is the remainder when 8*(-3 + o\/(-8)) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h. Let z be c(3). Suppose -26 = -17*i + 4*i. Solve 4*f - w = 3, i*w + w = -z*f + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-1)*690\/(-276).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is a71d (base 14) in base 10?\nAnswer: 28839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6847*u**4 - 26898*u**3 - 377*u - 190*u - 708*u**4 + 26896*u**3 wrt u?\nAnswer: 73668*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 x, 1 m, and 1 y when four letters picked without replacement from {f: 3, l: 4, y: 1, m: 1, x: 5, h: 1}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fyms when four letters picked without replacement from {m: 1, f: 3, y: 2, s: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1364150*u**4 - 41340*u - 135 wrt u?\nAnswer: 16369800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3435503 is divided by 4289.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 88 and 54000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (787*y**2 + 5622*y**2 + 15536*y**2)*(2*y - y + y + (-2 + 2 - 2*y)*(-5 - 3 + 6)) - 2*y**3 - 3*y**3 + 6*y**3.\nAnswer: 131671*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 6*q**2 + q - 1. Let o(x) = -7 - 3 + 2 - 5*x + x**2. Let r be o(7). What are the prime factors of i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3980 = 316*q + 820 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 40935 divided by 303?\nAnswer: 13645\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, f: 1, y: 1, l: 1, n: 2, x: 1}. What is prob of sequence yxkn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 152 = 10*o. Let l be 175\/(-14)*(-6)\/o. Let c = -581\/11 - -53. What is the biggest value in 2, c, 0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 = -4*n - 2*p, -n - 79 = -4*n + 5*p. Let m = n - 26. Suppose -o = 3*s - 81, -3*s - 5*o = m*s - 145. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 14 + 5 - 21070*y - 10.\nAnswer: -21070*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (96\/864)\/(2\/(-2))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26697434\/63 + 423757. Let q = 81\/7 + j. Let k be (-3)\/(-3) + 2 + (-39)\/13. Which is the third smallest value?  (a) q  (b) -2  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 78 - 115. Let d = 184 - 129. Let b = d + m. Solve -2*o - b = -5*x - 0*o, 0 = -4*x + 3*o + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -0.02  (b) 0  (c) -3  (d) 43.2  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*((-15)\/20)\/(-1). Suppose -3*q - 4 = -2*z, 2 = -z - u*q - 5. Let a be 62 + 2*z\/1. What is the greatest common factor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - 2cc?\nAnswer: -2cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-81) - (-2438)\/(-36). Let h = x + 69. Find n, given that -1\/4*n**2 + h*n - 9\/4 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -262 divided by -9.\nAnswer: 262\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -47bb3?\nAnswer: 47bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5063287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 424456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + d + 1. Let s be r(1). What is the hundreds digit of (-24)\/(-6) - (s + -113)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3650?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 27*w - 357 = 0. Let c(h) = -24*h - 11. Let z(u) = -8*u - 4. Give w*z(n) - 6*c(n).\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 35*s**6 + 202*s**4 + 3*s**2 + 2397*s - 1 wrt s?\nAnswer: 4200*s**3 + 4848*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 4\/5, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2) - ((-12)\/(-8) - 1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 157768 + -16569. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/1260 and 67\/36.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eibbbqbbecee. What is prob of picking 1 q, 1 b, and 1 i?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 5*k - 26, -q + 2*k = 5*k + 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 373 + 122 = 0. Let c(i) = 6*i**3 - 2*i**2 + 2. Let s(m) = 96*m**3 - 33*m**2 + 33. Determine z*c(g) - 2*s(g).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 292 and 47012.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20 - 9. Let p = d - 4. Let z = p - 7.0000057. What is z rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28113852 take away -0.5?\nAnswer: 28113852.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -53 - -4125. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -150 - -748\/5. What is the nearest to 0.1 in o, -2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 2, h: 1, v: 1, j: 1, p: 1, y: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 e, and 1 g when four letters picked without replacement from ewgellgggwggwgg.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 38*n + 14. Let g be b(7). What are the prime factors of g\/6 + (-11)\/(-33)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 987 is divided by 331?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -5. Let v(l) = -2*l. Let u(w) be the second derivative of -w**3 + 3*w. Let t(q) = g*v(q) + 3*u(q). What is t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*k**3*q - 261*k**3 + 1344*k*q**4 wrt q?\nAnswer: 2*k**3 + 5376*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*1*1 - 4. Let b(a) be the second derivative of a**4\/12 + a**3\/2 + a**2\/2 + 3*a. List the prime factors of b(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (n - 2 + 2)*(n - 2*n - 12 + 4) in the form h + o*n**2 + v*n and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.44 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -34*m - 4. Let o(b) = b**2 + 587. Give j(o(t)).\nAnswer: -34*t**2 - 19962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100 - -138. What is the highest common divisor of 418 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -255*l + 198 = 268*l - 556*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -49*p**4 - 24.\nAnswer: -196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 1:08 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 270 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a4a8 (base 11) in base 3?\nAnswer: -2221100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 8*v + 2*j - 741, -j + 3 = 0. Calculate the highest common factor of v and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than or equal to 616656\/461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of -p**5\/30 + 15*p**2\/2 + 2*p - 137. Let r(c) be the second derivative of i(c). Let u(t) = -2*t - 6. What is r(u(x))?\nAnswer: -8*x**2 - 48*x - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -39, -24, 12 in increasing order.\nAnswer: -39, -24, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 9*g - 130 = 0. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j**2 + 855*j + 30675. What is f(-388)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*h - 3*o = -99, 2*h + 4*o - 68 = 0. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8\/36 - 183\/(-27). Suppose -p + 4 + 2 = 0. Let w = p + v. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 953 divide 75796855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(704))**2 - -1*sqrt(539) - ((sqrt(110)*-2 + sqrt(110))\/sqrt(10) + -1*sqrt(1331)).\nAnswer: 3*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203*k + 10 = 198*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -358*n**4 + 206*n**2 - 9*n - 5187376 wrt n.\nAnswer: -1432*n**3 + 412*n - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**4 + 1 - 5*z**4 + 3*z**4 + 0*z**4 + 3*z to t*z + d*z**4 + u*z**2 + m + c*z**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-4) + (-1510)\/(-8). Let y = -131 + p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 + 78 = -2*l. Let w = l + 67. Suppose 0 = -15*i + w*i + 252. What is the greatest common divisor of i and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40050 is divided by 188.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*(-4 + -6*(5 + 5*(sqrt(637) + 0) + -4)))**2.\nAnswer: 4200*sqrt(13) + 573401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-623)\/(-89)*(-12)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4686 = 2*o, o + 4*m - 2308 = -m. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/3*d - 1\/3*d**2 + 0 - 1\/12*d**3 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 205 divided by -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3 + 31650*s**2.\nAnswer: -2*s**2*(s - 15825)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 48*c = -94. Let g(v) = 69*v**2 - 16*v**2 - v - 3 + 0*v. Is g(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 3, -7\/2 in ascending order.\nAnswer: -7\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/64 and (-2)\/(-16)*(3 + 186\/72)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2 - 2) + -1)\/1. Put -4, 5, k in descending order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 + 7*f - 5. Let r be n(6). Let m be (-8 - -6) + 6*r. Suppose m*v - 42 - 26 = 0. Is v >= 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 23.062 and 1854.4?\nAnswer: 1831.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -5 - 1\/6*m**5 + 1\/3*m**3 - 8*m**2 + m**4 + 71\/6*m = 0.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -227, 402, 1451, 2920, 4809?\nAnswer: 7118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -22537137.02.\nAnswer: -22537141.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 + 11*a**2 - 10*a + 5. Let c be p(10). Suppose -c*w + 8 = -w. What is the second derivative of 4*j - 3*j**4 + 2*j**4 - w*j wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 300.68771 to the nearest ten.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 4*f**2 - 2*f + 2. Let h(c) = c**3 - 11*c**2 - 13*c + 16. Let p(q) = 11*q - 32. Let d be p(4). Let z be h(d). What is s(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 51*m**2 - 250 - 109*m**2 + 38*m**2 - 25*m - 5*m**3 + 60*m**2 = 0. Calculate m.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*k - 26 = 0, -2 = c + 4*k + 4. Suppose -4 = -4*w + 4*f, -4*w + 0*f - 2*f + c = 0. Solve w*n - 3*n = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3221 (base 4) in base 10?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 315.6949751 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 678015 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -4 + 0 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, s: 2}. What is prob of picking 1 s and 3 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86251.89 meters to nanometers.\nAnswer: 86251890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 529 + 183 = w. Suppose -46 = 9*n - w. Is ((-1)\/(-3))\/(1\/(-9)) + n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(5 - 6) - -6. Suppose h*u + 28 = -m + 5, 2*u = -m - 14. Is (-3)\/u + 4218\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.016417 to 5 dps.\nAnswer: -0.01642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -34.750526 to two dps.\nAnswer: -34.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - -12 - (-3 - -2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 4\/5  (c) 3  (d) -4\/5  (e) 62  (f) -108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 4, l: 2, y: 2, j: 1, w: 1}. Give prob of picking 1 j, 1 l, and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wtyxwajjt. Give prob of picking 1 a and 2 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + q - 1 = 0, -t - 4 = 3*q - 0. Let v = -10 - -10.8. Let r = -0.9 + v. Sort t, r, -3 in descending order.\nAnswer: r, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g + 1031 - 1017 + 21*g**2 + 78*g**2 + (-3*g - 3*g + 5*g)*(-3 + 3 + 3*g) as s + t*g + k*g**2 and give k.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -v**4\/6 - v**3\/3 - 18*v - 2. Let f be 4*(1 - 1\/2). Suppose 3*n - 12 = 3*u, f*u - n - 4*n = -11. Give a(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (12\/40)\/((-4)\/30). Which is the third biggest value?  (a) 1\/11  (b) f  (c) -0.3  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355121467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*c + 848*c = -516*c + 146200 for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxk when three letters picked without replacement from {h: 1, x: 1, b: 1, k: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82 + 3*b + 147 - 336 - 2*b + 6*b**2.\nAnswer: 6*b**2 + b - 107","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: ((12*(-19)\/(-760))\/((-182)\/105))\/(6\/16)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 318\/40 + 0 - 60\/15 and (-4)\/(-6) + (-530)\/(-96).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from dnnnsndntntunnnnnd.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 131 and -0.21.\nAnswer: 130.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 93121991?\nAnswer: 103, 904097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - 6*t**2 - 37*t - 1. Let s be c(-9). Let k = 993 - s. Calculate the highest common divisor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**2 - 15*r - 42. Let a be y(-6). Suppose -3*k + 420 = -a. What is the greatest common divisor of k and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n - 1. Suppose 0 = -4*x + 16 - 4. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 + -3 + 2*4. Suppose 2*d + 75 = -5*v + r*d, 5*d = -2*v - 63. Let s = v + 31. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 288*u - 18354 = 146*u for u.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1886109905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 1709 = 5*j - j, -5*j = -d + 325. What is the lowest common multiple of 186 and d?\nAnswer: 21390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 259211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 3 - 8)*(0*n + 3*n - 5*n)*(-3*n**2 + 2*n**4 + 3*n**2 + n).\nAnswer: -12*n**5 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 11 + 2892\/(-240) + 5 + (-1)\/(-20). Let t = -2341\/11 - -213. Factor 14\/11*x**3 - 12\/11*x**2 - t*x**b + 0*x + 0.\nAnswer: -2*x**2*(x - 6)*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 112 + 32 = 21*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -6*u**2. Let f(k) = 80*k. What is w(f(d))?\nAnswer: -38400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 888082291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 89*q**2 - 56*q - 460. Does 82 divide d(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5732 + 2?\nAnswer: -5730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(((-2)\/(-4))\/(1\/(12\/(-3))))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*b**3 + 76*b**3 + 72*b**3 + 74*b**3 - 296*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**5 + 5*q**3 - 5*q**3 + 9*q**5 + 16*q**5 - 12*q**5 + (2*q - q**3 - 2*q)*(-2*q**2 + 3*q**2 + q**2).\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 4*g + 2*s + 2*s, -3*g + 5*s - 3 = 0. Solve -g*r = -r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 + -0.457761567353.\nAnswer: -0.517761567353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -289*w**3 + 139060*w**2 - 17270468*w + 129411872.\nAnswer: -(w - 8)*(17*w - 4022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Suppose 5*d + 7*d = a. Suppose d = 2*r - h + 2 + 4, -5*h + 12 = -r. Let z(i) = -4*i**2 + 2*i. Determine z(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.17?  (a) 1927  (b) 2  (c) 9  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2. Suppose y = -4*a + 16, -3*u - 203 = 5*a - 997. Suppose 2*t - 6*t + u = -5*q, 5*q - 10 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2) + 0 + -2)*3 - ((1*sqrt(1250))**2 + -3).\nAnswer: -1250 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 23*b**4 - 15*b**4 + 40*b**4 + (70*b + 75*b - 139*b)*(0*b**3 + 6*b**3 - 4*b**3).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 7. Let l = 145 + -140. Sort y, -2, l in ascending order.\nAnswer: y, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 210\/(-10) + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - ((85 + -46 - 27) + (1 - -51))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1\/7*a - 1\/7*a**3 + 0*a**2 + 0 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 551 - 5011 = 204*r + 1456 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -18, -23, -30, -39, -50, -63?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-6))\/(5\/(-60)*-4). Let a = 3 - 3.1. What is the third smallest value in a, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 599131 is divided by 599114?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 255*q**2 - 817*q - 10. Determine j(3).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**4 + 67226*x**3 - 67228*x**2 = 0.\nAnswer: -33614, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4248 by -1.\nAnswer: 4248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-74 - 101 + 55 + c)*(-3*c**3 + 8*c**3 + 0*c**3).\nAnswer: 5*c**4 - 600*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 - (-31 - -18 - -82)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 2. Let b be n(7). Suppose 3*z = 2*z + b. Suppose z*d - 4*u = 10 + 8, 4*u + 2 = -3*d. Solve 0*k + d = -2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 57160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -13*t + 1. Let d(i) = -7*i. What is 11*d(o) - 6*s(o)?\nAnswer: o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-150)\/(-75) + -20 + -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -4. Suppose c + 0*c - q - 1 = 0, 0 = q - 1. Suppose 3*h = -c + 5. Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, m: 6}. Give prob of picking 3 m.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1780633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*d**2 + 0*d**2 - d**2)*(2 - 2 - 1 + (0 + 1 - 2)*(-3 - 3 + 4) - 3 + 3 + 4) - 5 + 8*d**2 - 3*d**2 - 3*d**2 in the form u*d**2 + k*d + x and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qhkp when four letters picked without replacement from kkqhp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -35230, -35206, -35168, -35116?\n\"Answer: 7*r**2 + 3*r - 35240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2179793332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -498452.055183675792 + 0.055203675792. Let y = 498445 + c. Let b = y + 7. What is b rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 278 + -70. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75196 to the power of 1\/2, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1019 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 + 102210021?\nAnswer: 102210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 6*n**2 - 6*n + 6. Let i be s(5). Let z be (4\/(-44))\/(i\/(-2)). Which is the nearest to 2?  (a) z  (b) -0.1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -167.3228 - 1.6772. Which is the smallest value?  (a) -0.3  (b) k  (c) -2  (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -5*m + 31. Suppose -r + 3*c - m = c, -2*r + 11 = c. Solve 0 = -3*f - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 13053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4662610*u**2 - 6335211*u.\nAnswer: 9325220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.05, 2, -5, 0.1, -69, 274, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y**3 - 4*y**2 - 1512*y - 4585. Calculate k(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1161635 and 7528.\nAnswer: 1169163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3\/38 + 53\/190. Let f be ((-20)\/(-3))\/((-5)\/(-15)). Let a = 21 - f. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 589 = 90*w + 139. Let y(v) = 3*v - 16. Let h(c) = -c + 8. Determine w*h(m) + 2*y(m).\nAnswer: m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -6 + 7 - (-5 + 0 + 3). What is the third derivative of 3*a**3 - 4*a**2 + 3*a**2 - 13 + 12*a**4 + 3*a**w - 5*a**4 wrt a?\nAnswer: 168*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 2 m when four letters picked without replacement from mssssssssms?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.33*11\nAnswer: 3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 136 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19026, 120619, 387358, 901815, 1746562, 3004171, 4757214, 7088263?\nAnswer: 10079890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*x - 48136 = 309494 - 66395. Is x a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 27*r - 27*r + 5*r**2 + (2*r**2 + 3*r**2 - 3*r**2)*(-2 + 3 - 6).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-225)\/30*1*(-48)\/(-90)*-3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 522047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6\/101, 2\/9, 0.3, 3, 2, -7\/48?\nAnswer: -7\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2731\/2 - (-2795)\/430 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 388\/11 = 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*q + l + 13, 15 = q - 2*l. Let t = -8 + q. Suppose t*v = -3*d - d + 20, 0 = 2*d - 10. Solve v = b - 0 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2013732?\nAnswer: 2, 3, 7, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)*2*-2)\/(4*sqrt(9)*-6).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(40)\/((-1*sqrt(56))\/sqrt(7)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -137 divided by -114\nAnswer: 137\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 210, 2\/4993, 0.2?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 5, 2\/11, 70?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1125*q**2*y**3 - 9*q**2*y**2 - 36*q**2*y + 5*q*y**2 + 2*q*y - 8*y**3 wrt y?\nAnswer: 6750*q**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1207620*m = 1207625*m + 5*l + 25, 3*l - 85 = 7*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -7*r**2 - 5*r**3 + 226 + 232 + 4*r - 465. Let g(d) = -2*d**3 - 3*d**2 + 2*d - 3. Let k = 7 + -4. Calculate k*z(p) - 7*g(p).\nAnswer: -p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + 4*i = 2*z, 0 = -4*z + 3*i + 28. Suppose -3*o + 3 = -4*m, z*m - 2*m + 4*o = 26. Suppose l + j = 5*l - 359, 4*j = m*l - 253. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18895 + -2?\nAnswer: 18893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 10644784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - 788)*(-6 + 4). Let o = -469 + h. Let b = o + -464. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -8*t**3 + t**2 + 4*t - 2. Let y(h) = 10*h**3 - h**2 - 5*h + 3. Let p(w) = -4*r(w) - 3*y(w). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*g - 41*g + 1 - 3*g**4 + 17*g + g**3 in the form u + t*g**2 + c*g**3 + r*g**4 + l*g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-3258)\/(-9) - 4) + 6.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -4*d - 0*d + 46, 4*d = 4*v - 44. Suppose -11 = -3*q + v. Let m(t) = t**3 - 6*t**2 + t + 9. What is the tens digit of m(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -221102?\nAnswer: -221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 418 by -2.\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 689009 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v - 354 = 41*v - 4 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -7*s**5\/330 + 257*s**4\/132 + 74*s**3\/33 + 7*s**2 - 3. Factor r(a).\nAnswer: -2*(a - 37)*(7*a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 10:58 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 615239104.\nAnswer: 2, 9613111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 4*p = -6, -10*l - 20 = -370*p + 372*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.01 in -68, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 23536389315\nAnswer: -23536389304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 140*z**2 + 118*z**2 - 268*z**2.\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32617 + -15356. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 4) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 13) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.039 in -1\/5, -0.4, -0.5, 1\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1  (b) 0.1  (c) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3\/19 - 5752*n**2\/19 = 0.\nAnswer: -2876, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 5*b + 73, 5*l - 112 = -4*b + 232. Let z be l\/28 + 3\/(-7). Suppose -3*h - t = z, 2*h - 5*t - 26 = h. Which is bigger: h or 1\/14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 10, h: 9}. What is prob of sequence uhu?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-10))\/(5\/(150\/(-9))). Suppose 2*y - 82 = -d - d, -k*d + 165 = 3*y. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - (sqrt(108)*1 - sqrt(108)) - sqrt(12))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 2 = s + 4*y, -4*s = 2*y + 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -6. Suppose -q*i + 19 = -5. What is the smallest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of -6*j - j**4 + 7 + 63\/2*j**2 + 25\/2*j**3. Determine f so that h(f) = 0.\nAnswer: -3\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4\/5))**25*((q*q**(2\/15)*q*q)\/q)\/(q\/(q**(-1\/2)\/q)) assuming q is positive.\nAnswer: q**(-611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 18*y**2 - 19*y. Let l(a) = -36*a**2 + 46*a - 1. Give -2*l(x) - 5*q(x).\nAnswer: -18*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 - 23. Let f be t - (-5)\/(20\/(-4)). Suppose -f*n = -5*n + 68. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -17*i - 6*i + 25*i. Let r(d) = 41*d**2. What is g(r(o))?\nAnswer: 82*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1))**(2\/47)\/(x**(3\/5)*x**(-2\/5)) assuming x is positive.\nAnswer: x**(-57\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k + 19. Let v = -2 + 7. Let z be l(v). What is the highest common divisor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 2:48 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 divided by 1255041?\nAnswer: -134\/1255041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -47580, -95165, -142750?\n\"Answer: -47585*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -33 + 10392ef?\nAnswer: 10392bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*12511331\/(-756) - 1. Let c = -33102 - f. Find the common denominator of c and 97\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000010635 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 7:42 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -314 at least as big as -1566\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (572\/429)\/((-75)\/108 - (-2)\/8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*y - 28. Let q be (-232)\/(-14) + (-6)\/y. Suppose 4*j + 8 = 3*a, 0*j - q = -4*a - j. Solve -2*i = -a + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -4*o - 2*o + 7, 9*o - 12*a = -7*a - 0 + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5631630.880062262 - 72.120557738. Let o = x + 5631651. Let z = -52 - o. Round z to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -128306, -513234, -1154784, -2052956, -3207750, -4619166?\nAnswer: -6287204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j - 10 = -21*j. Let y be (8 - 14)\/((-9)\/(-6)). Which is the closest to j?  (a) y  (b) -0.04  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2 + 421*l - 827. Give y(-86).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-78)\/221 + (-643762)\/(-595). Which is smaller: 1083 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-4)*g))\/g)\/g**(-17)*g**(-4\/3)*g**7 assuming g is positive.\nAnswer: g**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**2 + 22*q + 2. Suppose -3*j - 47 - 31 = 0. Let d = 37 + j. Let r be t(d). Solve -4*p - r = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (j + j - 5*j)*(-1 - 95294*j**2 + 95291*j**2 + 2*j**3 + 128*j + 156*j) as c*j**4 + m + s*j + z*j**2 + r*j**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + -1*(-18 - 2). Suppose -4*s + 36 = 4*h, s = -0*h - 4*h + c. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 8:52 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 20) + 1 + 0 - (86 + -170 + 120).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 200322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3)*1*-6. Suppose 0 = x*o + 16, 5*g + 2*o = -2*o - 1. Differentiate -g*h**3 - 5 + 7 - 1 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - x + 1, -6*x + 11*x = f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78 = -19*x - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - -2 - 1*2. Suppose b + m*b = 0. Suppose 6 = 3*p - b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.2  (b) -927  (c) -4  (d) 8  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 3 - -8) + 2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*b + 81. Let p = 32 + b. Solve p*n + 0*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 7:58 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**1\/p*p**(-13\/5) assuming p is positive.\nAnswer: p**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 321.55 - 459.96. Let p = 166 - 27. Let s = p + x. What is s rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*j**3 - 2*j**3 - 3*j**3 - 4*j**3 + 3*j**3 + 0*j**3 + (4*j**2 - 4*j**2 - 6*j**2)*(2*j - 2*j + j) + (2*j - 2*j + 4*j**2)*(-j + 0*j + 3*j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + u = 8, -u - 3*u + 17 = 3*q. Solve -q*i = i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2599095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2036985 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, k: 9, f: 4, s: 1, j: 5}. Give prob of sequence sk.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 1\/8*w**3 + 1\/4*w**2 - 9\/4 - 9\/8*w = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 10*d + 4. Suppose -3*g - 180 = -21*g. Suppose -35*v = -34*v + g. What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -6) + (-19 - -22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 340123011 - -2?\nAnswer: 340123013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1481839117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.175 - 0.025. Let f = c - -4. Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/13 in -0.03, 1\/4, 0.2, -20, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 2:54 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/51*(-3404)\/71484.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 790 = -979*g + 559 - 2706 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 5*g. Let n be l(11). Let m be -2 - (2 + n\/1). Let u = m - 59. Calculate the lowest common multiple of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from {m: 3, d: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((1*sqrt(245) - sqrt(245)) + sqrt(245) + -5 - sqrt(245))*-6)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of -9*g**5\/5 - g**4\/2 + 3*g**3 + g**2 + 4. Factor u(s).\nAnswer: -s*(s - 1)*(s + 1)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o - 19. What is n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (10 - (8 + 27)) - 1 - 7\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3090744 and 152028?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -60 + 60. What is the second derivative of 32*y**4 + v*y - 5*y + 2 - 25*y wrt y?\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 42 = n. Suppose 5*w - 20 = 0, 4*w - n - 6 = -4*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 123 + 15. Suppose -66 + w = 3*j. Solve -3*t + 3*l - 9 = 0, t + 2*l + j = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 8 = -5*u, 6*u = 5*y + 4*u - 10. Suppose 3*q - 36 = -2*v, -q = q. What is the least common multiple of (14\/3)\/(y\/6) and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - (3\/3 + -37). Calculate the least common multiple of 10 and 2*w\/6*6.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -12, -129*s = -131*s + n - 5*n - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2684.99389 + 2795.993. Let a = 110.2 - -0.8. Let d = a - o. What is d rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 10298 from -64762.\nAnswer: -75060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 143\/234*21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of s**4\/24 + 8*s**3 + 3*s - 13. Let h(m) be the second derivative of u(m). Let r(x) = 7*x - 42. What is -42*h(k) - r(k)?\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 + -0.3. Suppose 14*d - 9*d = 0. Let v = -13.2 - -13.3. Which is the nearest to s?  (a) -3  (b) d  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/15))**43\/(((w**(-10)\/w)\/w)\/w*(w\/(w*w\/(w**9*w*w))*w)\/w) assuming w is positive.\nAnswer: w**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-6))\/(1\/(-9)). Calculate the highest common factor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 2:26 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*g**2 + 10*g**5 - 253*g**5 - 18*g**4 + 6*g**4 + 12*g**4 wrt g.\nAnswer: -14580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 - 8*x + 1. Let h(q) = -8*q + 2 + 0 - 2*q**2 + 4*q**2. Let n(y) = 3*h(y) - 2*p(y). Is n(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3\/9)\/((-2)\/6). Let l be -2 - -2 - 2*(-509 + t). What is l rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000019393 rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7663, 7624, 7515, 7300, 6943, 6408?\nAnswer: 5659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.54 - -11536481.\nAnswer: 11536482.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 3*a - 4*a)*(84*a**3 - 373*a**3 - 204*a**3).\nAnswer: 3451*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/7 in 4, 1\/3, -0.3, -0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-2 + -7 + 5 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -151 (base 7) to base 14.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128986 by -867.\nAnswer: 128986\/867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 5*x + t, 9 - 29 = -4*x + 2*t. Suppose -2*z - 6 + 20 = 0. What is the least common multiple of z and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1933543 and 426.\nAnswer: 11601258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 182 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4638*f. Let g(u) = -2695*u. Give g(v(c)).\nAnswer: -12499410*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 11*f + 24 = 0, -8 = -o + 274*f - 279*f for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 at least 6674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ah when two letters picked without replacement from appphjphiipi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26829 + 28240.7. What is f rounded to the nearest ten?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14501 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.05 + -0.05. Let u = -4094 - -12284\/3. Sort 5, u, 0.5, z in ascending order.\nAnswer: 0.5, u, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-1 + 17 + -15) - -8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.24 + 0.16\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + 0 - (3 + (-3 - (0 + -4)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 - -44. Let q be (-2 - -31)*24\/y. Is q smaller than 232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3092 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16\/18)\/(76\/342). Find y such that -4*y + 1\/3*y**2 + 4*y**3 + 4\/3 - 5\/3*y**v = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 7  (b) 137\/2  (c) 4  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 2*z**2 + z - 2. Let t be -2 + -1 - (-6 - -1). Let q(n) = -n**3 + 2*n**2 + 2*n - 3. What is t*q(o) - 3*w(o)?\nAnswer: o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3 + 3 + 2*q. Let u(k) = -4*k - 1. Suppose -2*h = 3*p + 16, -3*h + 3*p - 14 = 5*p. Determine h*u(j) - 5*d(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -5  (c) 40  (d) -1  (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*1*4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -7. Let l(g) be the second derivative of -g**3\/3 - g**2 - 6*g - 3. Determine l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3214910981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9008 is divided by 221?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-3 + sqrt(2299)) + sqrt(2299) + (-1 + sqrt(2299))*2)**2 - (4*(-1 + sqrt(2299)) + -5)*-2.\nAnswer: -3872*sqrt(19) + 186601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (j**2 + 4*j + 178*j**3 - 5*j - 156*j**3)*(0 + 0 + 2*j) as o*j**2 + d*j + i*j**3 + l + m*j**4 and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 24 = -20. Let l be 8\/(-2 + 1*6\/h). Let p(y) = -2*y**3 + 17*y**2 - 8*y - 9. Let b be p(l). Let x(z) = z**2 + 9*z + 8. Give x(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.15 + 4. Let t = 29.15 - 31. Let u = t + x. Sort 3\/4, 2, u in increasing order.\nAnswer: u, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(700)*2 + sqrt(7)).\nAnswer: sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -532998, -4263879, -14390558, -34110933, -66622902, -115124363, -182813214, -272887353?\nAnswer: -388544678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -45583*c**3 + 5709*c**2*s**2 - 6911*c*s**2 + 933*s**2 wrt c.\nAnswer: -273498*c + 11418*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-554)\/(-5) + 3\/(-15). Let q = o + -111. What is the nearest to 1\/4 in -2\/17, 4, q?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 8153*y - 5. Is o(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n + 11. Calculate o(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 9\/4*z**3 - 45\/8*z**4 - 87\/40*z**5 + 3\/20*z**6 + z + 33\/2*z**2 + 0. Suppose b(x) = 0. Calculate x.\nAnswer: -1, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 688, 1368, 2046, 2722, 3396?\nAnswer: 4068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 2) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 + 4. Let a be (-2 - (-4)\/k) + 2. Suppose 4*u - a = 6. Solve y + 0 + u = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (0 - 0) - (4 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 6 = 4*d - 8, d - 1 = -s. Suppose d = -7*i - 1744 + 8968. List the prime factors of i.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {r: 1, f: 6, s: 2, g: 4, p: 2, h: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 4*l = 1, 5*l - 30 + 1 = -3*u. Sort 1, 21, -3, u.\nAnswer: -3, 1, u, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108\/(-42) - 4551\/(-2072)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*s**4 - 9137*s**3 + s + 185830 wrt s.\nAnswer: 72*s**2 - 54822*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1492\/57 - -179023\/7068. Let q = s + 3\/31. Is q less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 261 - 268. Let b(p) = p + 16. Give b(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84012136 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/((-80)\/12)*20\/(-45)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and 131443020343.1.\nAnswer: 131443020341.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48 - 42 - (20 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12115\/4846*136\/(-10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10809918 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4013320 (base 8) to base 6\nAnswer: -34333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 204309 and 14490.\nAnswer: 2043090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4367774 (base 8) in base 14?\nAnswer: 22859a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 61*l + 5. Let p be d(-1). Let f = -57 - p. Suppose 2*z = -2*z + 8. Are f and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-982)\/15712)\/(2*5\/(-720)))\/((-3)\/8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 29702267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*h + 4*h - 18*h + 5411981 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, f: 3, e: 1, w: 1, h: 1}. What is prob of sequence fff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 12:50 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 30 - 12 = 0. Let t(s) = -36*s**2 - 21*s - 21. Let m(c) = 7*c**2 + 4*c + 4. Let y(j) = f*m(j) - 4*t(j). Let b(r) = -r. Calculate y(b(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -143, -140, -137, -134, -131, -128?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19968.89l in millilitres?\nAnswer: 19968890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -211034 and -63353.\nAnswer: -274387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1506 by -6.\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22009199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11*o + 12*o - 19*o)*(-o - o - o) to w + j*o + u*o**2 and give u.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 + 77*v - v**3 - 48 - 58.\nAnswer: -v**3 + 77*v - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 0*k + d = -9, 0 = 3*k - 4*d. Suppose w = 3*t - 4*w - 3, 12 = k*w. Solve -s - 2*s = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**3 + 7616*j**2 - 14500864*j = 0 for j.\nAnswer: 0, 3808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -2 + (1 - (0 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 18599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/37982457 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -387?  (a) -1\/29  (b) -0.1  (c) -0.138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, 25 in increasing order.\nAnswer: -3, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*u**3 + 1658*u**2 - 1658*u**2 - 190*u + 190*u.\nAnswer: -14*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of 367*v**8\/42 + 3*v**4\/8 + v**3 + 4170*v**2. Find the second derivative of x(n) wrt n.\nAnswer: 58720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18951 - -1586\nAnswer: -17365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -313 in 3, 15\/13, 2?\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -364*x + 4120. Determine c(13).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.750868kg in micrograms?\nAnswer: 750868000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + 5 + (sqrt(2) - 1*(sqrt(8) - sqrt(2))) + -3 + (sqrt(2) + 0 + 4 - -5*sqrt(32)).\nAnswer: 6 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 54 - 66 = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 + 31. Find the third derivative of -3*w**4 + 58*w**5 + 3*w**4 + 8*w**2 - o*w**5 wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*j**3 - 2143545*j**2 + 26652568?\nAnswer: -9*j**2 - 4287090*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = -2*x - w, -4*w + 8 = 28. Let u be 12\/x - 44\/(-10). Calculate the highest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (26\/104)\/(5\/(-2)). Which is the closest to -0.7?  (a) 2  (b) 0  (c) q  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(539) - (sqrt(539) + -3*-2*sqrt(539) + sqrt(539))**2) - (3*sqrt(539)*2 - (sqrt(539) - (-1 + sqrt(539))*1))**2)*-3.\nAnswer: -355737 - 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39017*w**2 + 431*w - 15.\nAnswer: -78034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 4*t + 20. Let i(b) = -79*b**2 + 256*b - 2. Let w be i(3). Calculate the highest common factor of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49\/((-1568)\/152))\/((-1)\/(-12)*-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 12:51 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 5, -0.5, -1\/2928, 2\/3, -9, 2\/7, -14\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + -26. Suppose -4*g + 5*p = 3*p - 5584, 3*g - q*p = 4188. Suppose -930 = -2*w + 4*m, -3*w - 2*m + g = -7*m. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 343 is divided by 81.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oombema. What is prob of picking 1 e and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -9398, -37659, -84762, -150707, -235494, -339123?\n\"Answer: -9421*p**2 + 2*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -102193275.0000003 - -102193285. Let d = 10 - a. Round d to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.002519 - -0.00251844189. What is v rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -695038, -695028, -695012, -694990, -694962, -694928?\nAnswer: -694888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153179703.\nAnswer: 3, 229, 74323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*k - 6*k + 9*k - 512*k**2 + 3 + 140*k**2 in the form m + o*k**2 + j*k and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 248645291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 925  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*r + 3*r - 2*r)*(4 - 1 - 2) + (106 - 8 + 11)*(-5*r + 14*r - 4*r) - 4*r + 4 + 4*r - r to the form s*r + f and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 2. Let p(q) = q**3 + 6*q**2 + q + 6. Let j be p(-6). Let l be g(j). Let v be (0 - (-13)\/104)*24. Put -2, -4, l, v in descending order.\nAnswer: v, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**5 - 62500*y**4 - 4969890*y**3 - 23474880*y**2 - 13410225*y + 41917500 = 0.\nAnswer: -12420, -75, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6160 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of s**2\/2 + 5*s - 95144. Suppose -3*l = -5*n + 47, 3*l + n = -n - 19. Determine h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 90, 105, 120, 135, 150, 165?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5 - 5 - s)*(4*s**3 + 5*s**3 + 3*s**3) + 2*s**4 - 4*s**3 + 4*s**3 + 0*s**4 + 3*s**4 - s**4 + 196*s**2 - 27*s**4 - 196*s**2)*(-5*s + 2*s + 0*s).\nAnswer: 105*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 2:31 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 308 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -271239 - -275850010\/1017. Calculate the common denominator of r and -64\/45.\nAnswer: 5085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4192 divided by 5?\nAnswer: -4192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 219, -3 in decreasing order.\nAnswer: 219, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 794504 is divided by 198623?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 172473560144 + 0.1.\nAnswer: 172473560144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 11*p**2 - 18*p + 2. Calculate n(12).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qmqqmqqqmm. Give prob of sequence qqqm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 10 = -26*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -110 - -141. Let p be n\/(-62) + (-1)\/(-2). Let -4\/7*a**2 + 64\/7*a**5 + 36\/7*a**3 + 0 - 96\/7*a**4 + p*a = 0. Calculate a.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 - 5*m**2 + 3*m - 6. Suppose -4*a - 5 = -25. Let k be l(a). Solve 0 = -3*u + s + k, -2*s + 27 - 5 = 4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2593 by -592.\nAnswer: -2593\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12.77 - -6.123030042.\nAnswer: -6.646969958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 573 - 156 + 324 + 562 + 212*q - 195.\nAnswer: 212*q + 1108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5320543 + -1?\nAnswer: -5320544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + (36\/(-3))\/(-4). Suppose 0 = -m - x + 4. Suppose -3*o + 5*s + 9 = -4, 0 = -2*o - m*s + 30. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -1  (b) -0.012  (c) 1.18  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l - 9*l - 15*l - 2*l - l + 2*l + (4*l - l + 0*l)*(2 + 3 - 12) to w*l + x and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(2*b**3 + 0*b**2 + 0*b**2) + 0*b**3 + 2*b**3 - b**3 - 20*b**3 + 0*b**3 + 2*b**3 - b**3 - b**3 + 0*b**3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*0.089.\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278*g + 278*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6916 + 6647 - 3087 + 6484 = -530*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 b when three letters picked without replacement from {j: 3, b: 3, t: 13}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j + 0 + 13 - 3. What is the units digit of a(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus 26968086822?\nAnswer: 26968086823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*-8*(-110)\/(-36). Let q = 2101\/30 + r. Find the common denominator of q and 13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1568099 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/5*q**2 - 329\/5 + 54\/5*q.\nAnswer: -(q - 47)*(q - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyiyyyyyyi. Give prob of sequence yiyi.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 4*y + 22 = 10*j, 2*y = -4*j + 20. Let q(c) = -7*c + 2*c + 21 - 2*c. Let i be q(j). Solve i = -0*k - 2*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4)\/10*(-225)\/33 and 455\/45 - (-7)\/((-42)\/18)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -7*r**4\/24 - r**3\/3 + 12*r**2. Suppose 4*i + 43 = -i + 3*v, 2*v = 2*i + 18. Does 15 divide g(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1*d)**(-1\/41))**(-30\/11) assuming d is positive.\nAnswer: d**(60\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**3\/13 - 4*j**2\/13 - 8*j\/13 + 16\/13 = 0. Calculate j.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 811, 193, 0, -2 in decreasing order.\nAnswer: 811, 193, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -7. Suppose 8 = -u*t + 5*t. Suppose t*v = 692 + 2888. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 37 - 68 = -4*y, 4*a + 121 = 5*y. Suppose 4*m = 3*c + y, 3*c = 3*m - 2*c - 16. Solve 3*z - 8 = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 584966, 1169973, 1754992, 2340023, 2925066?\n\"Answer: 6*w**2 + 584989*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.83753 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**2 - 4*n + 62 - 3*n + 5*n - 3*n**3 - 74 to q + p*n + f*n**2 + o*n**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2807 - 2806.8. Which is the nearest to v?  (a) 3  (b) -2\/3  (c) 27\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1459 is divided by 89?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from vkvvkiiii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4071021*a**3*g**2 - a**2*g**2 + 2*a*g**2 + 259*a + 2*g**2 - 8 wrt a.\nAnswer: -24426126*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/2*292\/730?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24765.07796423 - 0.5.\nAnswer: -24765.57796423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.97 + 0.03. Let v = 0.101 - 0.001. What is the closest to x in -0.3, 0.5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 4*z + 3. Let v be a(-4). Differentiate v*l**4 - 19 + 16 + 6*l**4 wrt l.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13350111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s + 14. Let g(o) = -1. Let x(p) = 5*g(p) + w(p). Let a = 123593 - 123582. Let d(c) = c - 5. Calculate a*d(i) + 6*x(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 15*n + 58 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19.31388 + 16.4148. Let l = h + 2.9. Round l to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6*b + 4*d = 24, -3*b - 15 = -3*d. Suppose 0 = -747*j + 733*j - 28. Is b not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m + 1. Suppose -4*r = -5 - 11. Suppose 23 = r*v - 1. Let a(s) = -s + 4. Let u(z) = v*l(z) - a(z). What is the first derivative of u(t) wrt t?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.19 + 0.41. Let i = -0.627 + w. Round i to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16430 - 10290. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**5\/(h*h*h\/(h*h**(-3\/7)\/h)))**14*(h**1)**(-9\/13)\/(h\/h**0*h**1\/h) assuming h is positive.\nAnswer: h**(264\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -124 - -2?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 50879 - 13584662\/267. What is the common denominator of -20\/7 and d?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -306, -5, 5, -2, 14, -76 in ascending order.\nAnswer: -306, -76, -5, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -8*v + 5. Suppose -5*o - 35 = 6*a - a, a - 2*o + 1 = 0. Let f(j) = 7*j - 4. What is a*f(s) - 4*n(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + -2*2\/((-20)\/31))\/(3\/24)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 7446*s. Let m(j) = -12*j**2 - 2. Give m(d(x)).\nAnswer: -665314992*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -155\/187 - -11\/17. Let i be (-701 + 703)\/(0 - (-1)\/(-41)). Do i and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 3*q - 4. Let d be n(3). Solve -2*x - d + 4 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1.9, 0.3, 48 in ascending order.\nAnswer: -1.9, 0.3, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10518, -21153, -31788?\nAnswer: -42423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/((w**(-3)*w)\/w))\/w**(-4))**(3\/11)\/((w*w\/w**(1\/5))\/(w\/w**(1\/9)))**(3\/20) assuming w is positive.\nAnswer: w**(6749\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/46 and -40\/5037.\nAnswer: 10074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**3 + f**2. Let x be k(1). Let w(d) = -2*d**3 - d**2 + 1. List the prime factors of w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1857, -4480, -8651, -15144, -24733, -38192, -56295?\n\"Answer: -129*p**3 - 1720*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 17, 37, 57, 77?\n\"Answer: 20*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.11*0.0301.\nAnswer: 0.003311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/7 and 139\/714.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -63*1038.3\nAnswer: -65412.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 527088433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 29 - 27. Let v = -12 + 10. Let n = -106 - -741\/7. Put n, o, v in increasing order.\nAnswer: v, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 142459 and 3827.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 - (2 - (-2 - -7)). Suppose 2*r + 3*q = 1, a*q = 2*r + 3*r - 31. Let v = 90 + -78. Calculate the remainder when v is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 140 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -40967, -40962, -40957, -40952?\n\"Answer: 5*m - 40972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Let m = 186 - 185. Calculate the remainder when -1673*11\/(-121) + m\/(-11) is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 1.6. Let k = u - -0.6. Let g = 0.19999872 - k. Round g to seven dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2304 - 2309 + 5*b**3 - 2246 + 11476 - 2307 - 2310.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 AM and 6:48 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 495*k**2 - 137*k**2.\nAnswer: 358*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4803?\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**3 - 3*h**2 + 4*h + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/6 + 23\/(-21). Let y = 1253 + -1189.3. Let w = -64 + y. What is the closest to -0.1 in w, k, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 118710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8, 16, 24, 32, 40, 48?\n\"Answer: 8*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.537244 in -2, -0.2, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 945.1101 millennia to centuries.\nAnswer: 9451.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.4 - -0.05. Let g = 0.15 - w. Let m = 0 + 1. Are g and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (29 - 27 - (-2 + 6)) + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, w: 2, y: 4, u: 7}. What is prob of sequence wuwu?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m - 143 = -17. Let x = -13 - m. Suppose s = -3*h + 12, -2*s = -2*h - 0*h. Which is the closest to 1?  (a) 2  (b) h  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -659\/3 or -219?\nAnswer: -659\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 434710882 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 + 1. Let w(v) = v**2 - 9*v + 2. Let s be w(9). Let q be s*(-1 + (3 - -2)). Let j = q - 7. What is b(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -586165 != -586164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 72*v - 1202. Give l(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x + 1. Let q(a) = 3*a**2 - 9*a - 6. Let g(u) = 5*b(u) + q(u). What is the least common multiple of g(3) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10281 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -20831?\nAnswer: 20835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1125 and 625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 264 = -4*y, -5*f - 40652 + 41016 = -6*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 288 divide 22752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5094*j**2 + 5094*j**2 + 962*j**4 - 2*j**4 - 3*j**2 + 2*j**4 - j**4 + (j**2 - 2*j**2 - j**2)*(-2*j**2 + 1 - 1) + 0*j**4 + 3*j**4 + 3*j**4.\nAnswer: 971*j**4 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**4\/3 + 95390*r**3\/3 + 477100*r**2 = 0?\nAnswer: -15, 0, 47710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 73841 = 58159. What is m rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n = -n - 112 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of -f**4\/24 + f**3\/3 + 2*f**2. Let g = 95 + -91. Determine z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7 less than -0.10680886?\nAnswer: -2.80680886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (3*(-35)\/(-126))\/((-7)\/(-42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.28 or -13846\/2591?\nAnswer: -13846\/2591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 272 divided by -68.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 (base 10) in base 16?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -2. Suppose -2*g - u*g = -185. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 0*g = 5*g + 12, -5*g = 2*m + 13. What is the tens digit of 19 + m - (8 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10231 (base 4) in base 15?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -154 - -304. Suppose -p + 32 - 5 = 3*o, 4*p - 2*o = y. Calculate the highest common factor of 90 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*z**2 + 12*z**2 - 30*z**2 + 6*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -39 - 1b?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -146 + 128. Let k = l + 49. Differentiate k - 25*x + 9*x - 5*x with respect to x.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 3*(-8)\/(-12). Suppose 0 = 5*m - w*m - 25. Solve -2*o = -m*c - 9 - 6, 4*o - 17 = -3*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(5\/25*5))\/(2\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -5*u**3 + 9*u**2 - 4*u + 8. Let m(v) = -4*v**3 + 8*v**2 - 3*v + 9. Calculate -3*k(f) + 4*m(f).\nAnswer: -f**3 + 5*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 247009*x**3\/3 + 22726816*x**2\/3 + 182900*x\/3 + 368\/3 = 0. What is x?\nAnswer: -92, -2\/497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t**(-2\/37)\/t)\/t*t))**(-1\/7) assuming t is positive.\nAnswer: t**(-76\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 62315, 123523, 184731, 245939, 307147?\n\"Answer: 61208*d + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (-3 - (-4 - -4)) + (-13 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -41*q**3 + 7*q**2 + 4*q - 38. Let m be s(-10). Let d = -26909 + m. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 + 273 = 17*o. Let a be (-3 + 0)\/((-24)\/16). Suppose -f + a*f = 3. Calculate the remainder when o is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93393 + 101634 = 201*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8111*o - 16218. Calculate a(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52567631?\nAnswer: 463, 113537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3167 + -3166. What is the third smallest value in -1.155, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 2*x = 2, 4*y - 16 = 7*y - 2*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 953, -5, -3, 6, -2 in decreasing order.\nAnswer: 953, 31, 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 * 0.0870456.\nAnswer: 1.5668208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 164 - -3?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*n**3 - 191*n**2 - 2551 - 141*n**2 + 334*n**2 + 2*n + (0 + 0 + n**2)*(n + 0*n + 0*n) as x*n + k*n**2 + c + f*n**3 and give c.\nAnswer: -2551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 899*f - 83553. Give w(93).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*w - 13. Calculate the highest common divisor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/248)\/((-54)\/2700). Let y = -1339\/620 - m. What is the common denominator of y and 107\/((-3)\/((-12)\/40))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, l: 1, v: 1, a: 2}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 126 + -114. Let f be (-2)\/((-32)\/d)*2. Factor 2*u + f + 1\/2*u**2.\nAnswer: (u + 1)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**4 + 4 - 4 + (-2 + 3*b**2 + 2)*(52*b - 52*b - 15*b**2) + 3*b**4 - 9*b**4 + 4*b**4.\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -23058 divided by -189\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -0*i + 126. Suppose x - i = -2*x. What is the greatest common factor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the second derivative of r**5\/50 - r**3\/15 - 230*r - 1. Solve u(h) = 0 for h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11121 (base 11) to base 10.\nAnswer: -16116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -3*g - 7*y, -16*g + 19*g + 4*y = -15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k - 8 = -8*k. Let f = -1.6 - -8.6. Let y = f + -2. Which is the nearest to k?  (a) y  (b) 0  (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(117) - -2*sqrt(117))*-5*-4 + 2)*2)**2.\nAnswer: 25920*sqrt(13) + 15163344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*i - 23 = -3*f - 29, i = -4*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 0, 12, 44, 102, 192?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the first derivative of 3*w**5\/20 + 2*w**4 + 26*w**3\/3 + 16*w**2 + 12*w - 4573. Factor o(r).\nAnswer: (r + 2)**2*(r + 6)*(3*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = s - 14. Let o(b) be the third derivative of s*b + 0 + 4*b**2 - 1\/210*b**5 + 0*b**3 + 1\/42*b**4. Factor o(n).\nAnswer: -2*n*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from mmlmccmcrrmmrmmmrl.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2977*g**2 - 56. Let n be l(8). Let d = -108416 + n. What is d rounded to the nearest 10000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (3 + -50*1). Calculate the highest common divisor of l and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -53211\nAnswer: 4\/53211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 962693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 10*c**2 + 16*c + 55. Let s be z(-8). Let h = -13 + 66. Let r = s - h. Solve r*n + 0*n - 5 = -5*b, -b = -n - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10779, -10293, -9807, -9321, -8835?\nAnswer: -8349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 - 18247*s + 177*s - 9712*s in the form l + a*s and give a.\nAnswer: -27782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 75486.98 centuries?\nAnswer: 754869.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v - 1. Let j(w) = 20*w + 50. Let u(c) = j(c) + 15*y(c). Let x be u(-7). Solve 2*d + 5 - 1 = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 4*m + 15 = -3, -3*j = -2*m - 2. Suppose j*u + u = -6, -2*c + 2 = -2*u. List the prime factors of (c + (-9)\/(-6))*20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 18*q**3 - 4*q**2 - 3*q - 6. Let g = 32 - 167. Let f be (-2)\/3*g\/18. Is n(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2143 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -149*u - 44*u + 10075 + 1505. Solve -u = 11*w + 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6571448 and 8413.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -667109.3 and 3.6.\nAnswer: -667105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + r. Let n be 12\/(-8)*-1*2. What is the first derivative of 2*g**3 - 2 + n + r wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9024720?\nAnswer: 2, 3, 5, 31, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -58*z**3 + 2*z**2 - 1. Let w be o(-1). Suppose -2*c - 11 = -5*u + 52, 5*u - c - w = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -5*d - 61. Let o be w(-14). Suppose -l + 5*j = 2 + 5, -3*j = l - o. Solve 3*u + 3*y - 2 = y, 3*u + 3 = l*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 476 - 2382\/5. Sort 0.2, 7, -4, l in decreasing order.\nAnswer: 7, 0.2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -6*c**2 + 3*c. Let j = -583 + 587. Suppose k + 4*s = j, -4*k + 30 = 4*s + 38. Let t(o) = -7*o**2 + 4*o. What is k*q(d) + 3*t(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 45*s + 22. Let b be ((81\/6)\/9)\/((-6)\/(-28)). Let a be g(b). Suppose a = 4*h + 65. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*i - 16413 + 2889 = 0. Calculate the highest common divisor of 207 and i.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4 + (sqrt(300) + (3*sqrt(300))**2*-2)*-1)*-4*-4*-5.\nAnswer: -3200*sqrt(3) + 1726720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 23*q**2 - 56*q + 291. Calculate u(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1192 and 3327319?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*h**4 + 2*h**4 - 1 - 4*h**4 + (h**2 - 3*h**2 - h**2)*(2*h**2 + h**2 - 4*h**2) to a*h**3 + z*h**2 + j*h + q*h**4 + f and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -671 by 5.\nAnswer: -671\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 6*z**2 + 4*z - 8. Suppose 5*v = 2*n + 27, 0 = 4*n - v + 10 + 17. Determine c(n).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 6*g + 36 = 0. Let d = 40 - g. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2607 + 2575.42. Let u = -0.42 + m. Let c = -32.1 - u. Which is bigger: c or -17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -610 + 610. What is the closest to 0 in 2, t, -1, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t**2 - t**3 + 0*t**2 - 13 - 5*t**2 + t + t. Let u be o(-7). Let q = u - -28. Which is smaller: 0.05 or q?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjbbj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*n**5 + 209255*n**4 - 583849350*n**3 + 543057736500*n**2 - 108588195000*n = 0. What is n?\nAnswer: 0, 1\/5, 2790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (33 - 27)\/((-5904)\/(-63) - (-2)\/7)\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -16713623 and -0.1.\nAnswer: -16713623.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 42*w**2 - 128*w + 4. Let s be z(3). Which is the smallest value?  (a) 1  (b) s  (c) 0  (d) -1\/2  (e) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (10\/6)\/(-3 - 656\/(-176)) and 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 14 = 1451*x - 1448*x, 5*x - 22 = 3*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 11146, -10, -177?\nAnswer: 11146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 327*d + 1861*d - 234416 = -360*d for d.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -c**3 + c**2 - c + 2. Let g(u) = -52 - 7*u**2 + 31 + u + 26 + 16*u**2 - 2*u**3. Let h(a) = 3*f(a) - g(a). Determine h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 6, -3.\nAnswer: -6, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*a - 1663 = 0, -2*a - 22 = -s + 527. List the prime factors of s.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 AM and 6:57 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27386458, 27386459, 27386460?\nAnswer: 27386461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 0, -36 in ascending order.\nAnswer: -36, -18, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*s - 7*f - 6, 3*f = 4*s - 19 + 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (104*71\/36920)\/((-17)\/(-15)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f - 28. Let t be y(-18). Let x be 64480\/t + ((-2)\/2 - 1). Let a = -1391 + x. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6783.22196 to the nearest ten.\nAnswer: -6780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + -4922?\nAnswer: -491a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + (-54)\/14)\/((-16)\/(-56)). Let r = 150 + -149.69. What is the second smallest value in -0.4, -2, z, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(((q\/(q\/(q**6\/q)*q)*q)\/q)\/q))\/(q\/q**(-7)*q))\/(q**(-8)\/q**0))\/(q**(-1\/4)\/(q*q**(1\/2))*(q\/(q*q\/((q\/q**1)\/q)))**(-34)) assuming q is positive.\nAnswer: q**(-277\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168815?\nAnswer: 5, 19, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -111124 (base 5) in base 7?\nAnswer: -14261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(408)\/sqrt(588) + 1*(sqrt(34) - sqrt(238)\/sqrt(7)))\/((5*sqrt(64))\/(sqrt(72)*6)).\nAnswer: 9*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9309741 is divided by 3142?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8.986 - -0.114. Let n = o - 9. What is the second biggest value in 4\/3, n, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21002 (base 4) to base 15.\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 105*w + 58. Let j be x(6). Let t be j\/129 - (-1 - (0 - 7)). Put -2, -1\/2, -3, t in ascending order.\nAnswer: -3, -2, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 154366398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c - f + 3*f + 2, -5*c + 4*f = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.3 - -1.9. Sort h, 2\/7, 0 in descending order.\nAnswer: 2\/7, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**2\/7 - 9348*d\/7 - 9002338\/7 = 0 for d.\nAnswer: -3317, -1357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(6*sqrt(66)*3 - sqrt(66))\/sqrt(6)*3.\nAnswer: 255*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**3\/15 - 401488*n**2\/15 + 4033105538*n\/3 - 1650874768004\/15 = 0. What is n?\nAnswer: 82, 100331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3657192 divided by 1979\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17032141 - -2?\nAnswer: 17032143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-39) + 54*(-15)\/195.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 0) + -4 - (-29 - -25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 51, -6\/11 in decreasing order.\nAnswer: 51, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kksk when four letters picked without replacement from {k: 3, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.11 or 0.0859661?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**3 - 7*r**2 + 3*r + 26. Let n be s(6). Solve 2*x + 2*z + n = 0, -5*z = x - 0*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of 0*m - 43\/2*m**2 - 1\/2*m**4 + 13 - 7\/5*m**5 + 0*m**3. Find the second derivative of t(h) wrt h.\nAnswer: -84*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 11:37 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14880 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 4.3. Let g = h - 0.2999997. What is g rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 72. Calculate x(67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -910 - -910. Let f(j) = -2*j**2 + 2*j + 2000. Is 80 a factor of f(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -90, -160, -238, -312, -370, -400?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a + 6. Let o(r) = -r + 1. Let f(x) = 5*o(x) - u(x). Calculate f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 + -5731\nAnswer: -5730.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + -120*(-8 - 1). Let v be u\/429 + -1*4. Let o = v - -2258\/165. What is the common denominator of o and 41\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 58731 or 58734?\nAnswer: 58731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - q**2 + (-13 + 21 + 13)*(4*q**2 + 4*q**2 - 5*q**2) - 5 - 3*q + 8*q + q**2 + 3.\nAnswer: 63*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5, 86, 323, 778, 1523, 2630, 4171?\n\"Answer: 12*d**3 + d**2 + 4*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -7, 1, -2, 12440 in descending order.\nAnswer: 12440, 10, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68 + 68 + 1877*c - 1418*c to the form l*c + q and give l.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*g - 179*g + 62*g + 3 + 3 + 57*g.\nAnswer: -g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r + 4. Calculate the remainder when y(-9) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c5f (base 16) in base 4?\nAnswer: -301133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -716415 - 8885. Round z to the nearest 10000.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*i = -3*s + 33*i + 11, -2*i - 2 = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o - 9. Give s(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) 1  (b) -88  (c) 0.2  (d) -1  (e) -12  (f) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-67)\/((-195908)\/129)*(-10)\/(-5)*-12?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-332)\/(-2504)*-284*22\/(-400). Let j = w - 426\/313. Calculate the common denominator of -67\/96 and j.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4160*1.\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2883140 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 55291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -18*o - 47. Let f(j) = -3*j**2 - 64*j - 64. Let t be f(-1). Give a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 664, 767, 938, 1177?\n\"Answer: 34*n**2 + n + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1983, 0, -5\/3, 2 in descending order.\nAnswer: 2, 0, -0.1983, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 less than -47\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 264831 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 19*j**4\/12 - 41*j. Let h(u) = u**2. Determine h(f(q)).\nAnswer: 361*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -4*t**3\/3 - t**2\/2 + 1280000*t - 16. Let a be w(0). What is a rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1230033033 (base 4) to base 13\nAnswer: 126a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 12:41 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 12*l**2 - 298*l + 32. Let k(c) = -8*c**2 + 199*c - 22. Let d(m) = 8*k(m) + 5*t(m). What is the hundreds digit of d(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1017.03 and 15.59.\nAnswer: -1001.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 11*a + 281. Let z(y) = -34*y - 862. Determine 7*n(s) + 2*z(s).\nAnswer: 9*s + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l = 2*l + 756. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 + l - 2. Let d be b(-3). Suppose 0 = -5*v - 3*s + 5, -s + 9 = -d*v - 6*s. Suppose -z = -h + v*z + 11, h = -2*z + 32. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -413\/2, -0.2, 0.02?\nAnswer: -413\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 76 * 292\nAnswer: 22192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-175)\/55 + 8\/44. What is the nearest to 0.4 in -0.2, t, -2\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1445 and 36720.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.08  (b) -3  (c) 0.2  (d) 1  (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-5*4*sqrt(175)*1.\nAnswer: -200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-7)\/(-14)*6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 515*i + 6743 = -9222 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 692*o**4 + 45*o - 1.\nAnswer: 8304*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 22 = -2*o + 8*h, 5*o - 3*h = 83. Let t(i) = 15*i - 28. Is t(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-2 + sqrt(720) + sqrt(720) + 0 + 4 + 3))**2.\nAnswer: 3840*sqrt(5) + 46480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/12*(-11 + 15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 21 = -5*r, 3*j - 2*r + 26 - 5 = 0. List the prime factors of (-2)\/(2\/j)*3.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3458 - -433\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 0 = 16. Suppose -4*p + 36 = -8*p - 4*t, -p + 4*t = -u. What are the prime factors of p\/(-2 - 20\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 52*x**2 - 7*x + 4*x**4 - 17*x + 3*x + 12*x + 62*x**3 wrt x.\nAnswer: 96*x + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27261 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 4*y - 32 = 0. Let d be (y + 14)\/((-4)\/6). Suppose -r = -3 - 2. Solve d*k - 2*w + 1 = 5, 0 = r*k - w - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(192) - sqrt(192))\/sqrt(8))\/(sqrt(200)*-2))**2 - ((sqrt(147) + 4*sqrt(147) + sqrt(147))**2 + -3 + 0).\nAnswer: -132222\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4*z - 25, -2*w + 6*w + 25 = z. Let m = -0.9 + 0.3. Let j = m - -1. Which is the nearest to 1\/3?  (a) w  (b) -0.5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.00936 seconds in nanoseconds?\nAnswer: 78009360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 5*g**2 + 3. Let i be h(5). Suppose i*a - o - 632 = 0, -2*a + 443 = -11*o + 6*o. Calculate the greatest common factor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 113120111 (base 4) to base 2\nAnswer: 10111011000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.2+-7062.8\nAnswer: -7064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5489, 21990, 49495, 88004, 137517, 198034, 269555?\nAnswer: 352080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/3)\/(2\/8). Let u be ((-16)\/(-6))\/(f\/(-12)). Let d = u - -11. Solve -r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - -203313?\nAnswer: 203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 57.2 + 303.8. Let j = -361.0000233 + i. Round j to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16079179297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.1  (b) -2\/11  (c) 0.4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -12. Let n be (20\/14)\/(1\/s). Let m = 16 - n. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(0*l**2 + 0*l**2 + 2*l**2) + 95*l**2 - 1 + 1.\nAnswer: 93*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 24359b4 + -5?\nAnswer: 24359ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - h**3 - h + (2*h + 4 - 4)*(3*h**2 - 4*h**2 + 3*h**2) + 10*h**3 + 43 - 43)*(3 - 2 - 3 + 0 + 3 - 1 + (7 - 3 - 3)*(1 - 3 + 3) + 2 - 5 + 4 + 0 + 4 - 2).\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 784 by -14.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/(3120\/(-75))*16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -9*r**2 - 96*r + 10. Let b be d(-13). Let l = b + 545. Is l a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 13*p + 9. Give j(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 11:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**3\/6 + 13217*z**2\/6 - 112208*z\/3 + 35200 = 0.\nAnswer: 1, 16, 13200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -1\/1250 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - a - 17. Let j be o(8). Let n = -34 + j. Solve 5*r + 10 = m, -5*m - n*r = 8 + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 135800\/3 + -678802\/15. Solve -m*y + 68\/5 - 2\/5*y**2 = 0.\nAnswer: -34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 592*u**3 + 173*u**2 + 3*u + 35095552 wrt u?\nAnswer: 1776*u**2 + 346*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10\/47?  (a) -27  (b) -4  (c) -0.02  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3472 (base 8) in base 4?\nAnswer: 130322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -89.4 minus 4244233?\nAnswer: -4244322.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24528 and 1249080.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 373*s**2 - 991*s. Let r(u) = -375*u**2 + 994*u. Let t(q) = -7*r(q) - 6*v(q). What is the second derivative of t(n) wrt n?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -40*w**3 - 7*w**2 + w. Let t(y) = 13*y**3 + 2*y**2. Determine -2*h(l) - 7*t(l).\nAnswer: -11*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4617)*-2)\/sqrt(3).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, a: 2, u: 1, j: 4, w: 3, h: 3}. Give prob of picking 1 a, 1 j, and 1 w.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (2 + 5 - (14 + 3 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -140 or -1?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11.446688 and -1.\nAnswer: 11.446688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3)*d*d**(2\/19))\/(d**9\/((d**(1\/2)*d*d)\/d)))**(-13) assuming d is positive.\nAnswer: d**(4641\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + 41*q**2 - 48*q - 304. Is a(-41) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 222 and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/10*(10 - 2). Solve 5*q - h = m, 0*h = -q - 2*h + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.75 + -0.85. Let q = i - 8. Let d = -1 - q. Which is the second biggest value?  (a) 3  (b) d  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/7*t + 2\/7*t**4 - 2\/7*t**2 + 0 + 4\/7*t**3 = 0. Calculate t.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 47*m**2 + 327*m + 29. Calculate h(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 3 + (1 - 3 + 0)*(0 + 1 - 2))*(-43 - 119*k + 50*k + 59*k).\nAnswer: -10*k - 43","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of 1\/3*x**3 + 0*x**4 - 2\/15*x**6 + 0*x**5 + 0*x**2 + 0 - 4*x. What is the second derivative of s(w) wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {m: 1, c: 4, a: 1, z: 4, l: 1, s: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2532, -10777, -24734, -44403, -69784, -100877?\nAnswer: -137682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = -6104 + 29925. List the prime factors of r.\nAnswer: 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 11*o**2 - 57*o. Let m(z) = -6*z**2 + 29*z. Let k = 1973 - 1969. Calculate k*x(a) + 7*m(a).\nAnswer: 2*a**2 - 25*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 136, 237, 292, 301, 264, 181?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from vvjjv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -221886*v - 172145 wrt v?\nAnswer: -221886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/(7 + 1) + 13)*(-7)\/(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b + 268. Let c(u) = -u - 255. What is 3*c(z) + 2*i(z)?\nAnswer: z - 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320003840.\nAnswer: 2, 5, 13, 19231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 times 0.1?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 187*g**5\/60 - g**4\/4 - 7*g**3\/6 + 7*g**2\/2 + 35*g. Let k(t) be the first derivative of f(t). Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h - h - 5*p - 7 = h - 2, 20 = -20*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16930 is divided by 88?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-34)\/4)\/(3\/(-6)). What is the remainder when 2\/(-5) + l\/5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 4*j. Let v(r) = -23*r. What is v(h(p))?\nAnswer: -92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37161079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.26  (b) -2\/5  (c) -1  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04457 rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-12)*-5)\/((-13380)\/(-42816)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 88345*g**4 + 18850*g.\nAnswer: 1060140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1, 11, 21, 29, 35?\n\"Answer: -c**2 + 15*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1110 + 1153?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1880 + 1883. Let x = 6 - 12. Let o = 6.2 + x. Which is the closest to o?  (a) 5  (b) v  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*z + 100883 + 100882 - 302650 + 100885 - 318*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -7 + 1. Suppose q = -z + 39 + 11, -3*z = -2*q + 75. Suppose -2*i + y*j = -10, 4*i = -2*j + j + q. Solve -4*p + 2*p = -i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 951343, 1902690, 2854037?\n\"Answer: 951347*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1967 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29252 and 86932.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((23 - 8) + 3 - 74) + (-3 - -12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2408133 divided by 61747\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 40 + (-10 - 594\/54)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 17, 48, 85, 134, 201, 292, 413, 570?\n\"Answer: r**3 - 3*r**2 + 33*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 29097494 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-80)\/64)\/(10\/(-12)). Let n = 1 - 2. Put d, 4, n in increasing order.\nAnswer: n, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5*a = 30, 0 = -l - 4*a - 14 - 7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*(q**(-2\/7)\/q)\/q))\/q**(-24))\/(q*q**(10\/3)*q\/q**(-2\/35)) assuming q is positive.\nAnswer: q**(2194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -5. What is the units digit of 1\/(z + (-9)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) 1\/2  (c) -1  (d) 1.3  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 43795*b - 8145870. Calculate q(186).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -102*w**2 + 1527*w - 32. Calculate c(15).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**2 + 33*t**2 - 2*t**2 - 8*t**2 + 41*t**2.\nAnswer: 68*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5291 - -401?\nAnswer: -4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 11:23 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -660 + k**2 + 1317 + 8632*k**3 - 668.\nAnswer: 8632*k**3 + k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 2005*u**3\/6 - 3557*u**2 + 2*u + 1242. What is the derivative of p(k) wrt k?\nAnswer: 2005","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -4, -91, -1\/7, 1.3 in descending order.\nAnswer: 1.3, -1\/7, -2\/9, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7678197 is divided by 191.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 184 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2473453 (base 10) in base 6?\nAnswer: 125003101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 462*p - 457*p + 5*c + 75, -c = 4*p + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**3 - 7*u - 8. Let f be k(-4). Let w = f - 21. What are the prime factors of w?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49*132\/32340*14\/12*-25.\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i + 12. Let y be o(-6). Suppose y = 3*k - 4*r - 36, 3*k - 29 = -5*r + 7. Calculate the smallest common multiple of k and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*h - 448*h + 1144 = 0. Find r, given that 2\/9*r**3 + 4\/9*r**h - 4\/3 - 10\/9*r = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1474, -1473, -1472?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 493*j**7\/42 - j**4\/6 + 3*j**3\/2 + 73*j + 3. What is the third derivative of z(t) wrt t?\nAnswer: 29580*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 508 + 509 - 380*s + 4*s**4 - 1536 - s**3 + 517 to the form f*s + r + l*s**4 + t*s**2 + j*s**3 and give f.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 229 - 130. Suppose 3*t = 8*t + 3*g - v, -3*g = -2*t + 27. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -5, -1.7282, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 392 and (-21)\/((-882)\/14147) - 15\/18?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2 - 5036*x + 1323840.\nAnswer: -2*(x - 240)*(x + 2758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 + 164*c**2 + 1099*c - 44. Determine m(-7).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 4, 1255, 1, 3, -3 in descending order.\nAnswer: 1255, 4, 3, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 32 + 762043?\nAnswer: 762075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5916 is divided by 216?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -159*k + 1613. List the prime factors of o(-64).\nAnswer: 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8894 + -8894.4. What is the closest to 164 in -1, 0.4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*p**2 + 38 - 38)*(-2*p + 2*p - 2*p) in the form g*p + s*p**2 + n*p**3 + m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v**3 + 3*v**2 - 7*v - 10. Suppose -4*o = 5*t - 20, 0*t + 4*t = 4*o - 20. Let k be l(o). Let u = 503 - k. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 5*w - 4*n - 160, -2*n = 2*w - 56. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = b + 12. Let i be b\/225*-5 - 962\/(-15). What is the greatest common divisor of i and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4038 - 3983. Suppose -d = -0*d. Solve -11*i + d*i + f = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -682*m**2 + 1347*m + 2. Let n(j) = -683*j**2 + 1343*j + 3. Let z(u) = 2*n(u) - 3*o(u). What is the second derivative of z(v) wrt v?\nAnswer: 1360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18119 is divided by 3618.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3327 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67192383 is divided by 176822.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8165373?\nAnswer: 3, 1187, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 3*p - 12 = 0. Suppose 2*y + 3*n = 0, 5*y + 20 = 2*n + 1. Let c = p - y. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**3 + 29*y**2 + 37*y - 22. Let q be h(-13). Solve 46*s - 45*s - q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106 times 0.073\nAnswer: 7.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50*w**2 - 44*w**2 + 95*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 14*z + 905. Is b(-48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u + 1. Let p(o) = -5*o. Give p(r) + 6*x(r).\nAnswer: r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 - 2*w**2)*(-6*w**2 + 25*w**2 + 3*w**2) + w**4 + 3*w**4 - 5*w**4 to the form l + x*w + n*w**4 + f*w**3 + z*w**2 and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 33 - 32.8. What is the nearest to -1\/3 in -5, c, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1020 + 1215. Calculate the highest common divisor of 520 and s.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1498280871 to the nearest integer?\nAnswer: 38708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -754*v + 924?\nAnswer: -754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -276 or -280?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3932718 is divided by 578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 16689.33327 and -0.13291.\nAnswer: 16689.20036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 40507, 80815, 120915, 160801, 200467, 239907, 279115, 318085?\n\"Answer: -o**3 - 98*o**2 + 40609*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-3))\/(h**(6\/7)\/h))\/(h*h**(-5\/2)\/h)**(-5\/4) assuming h is positive.\nAnswer: h**(57\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -297204*k**2 - 3*k**3 + 297204*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2085 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {p: 1, x: 1, d: 1, u: 4, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66126 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -41, 4768, 2, 6 in increasing order.\nAnswer: -41, -3, 2, 6, 4768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 64 + 31*q**3 + 11*q - 18*q - 29*q**3 + 3*q**2 - 8*q**2 as m*q**3 + n*q + y + x*q**2 and give y.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 4*z + 4. Let v = 3 + -1. What is the third derivative of -5*w**2 + z*w**5 - 2*w**2 + 0*w**5 + 3*w**v wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a69 + -224496?\nAnswer: -223528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-61 - 109 + 221*g - 219*g)*(-4*g + 2*g - 2*g) to u*g + t*g**2 + m and give u.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + 2. Let l = -12 + u. Let n(q) = -7*q - 5. What is the remainder when n(l) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174*q + 20*q - 43*q = 5726977. What are the prime factors of q?\nAnswer: 17, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -0.08, 4831, 10 in ascending order.\nAnswer: -0.08, 8, 10, 4831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 82244.9 minutes?\nAnswer: 4934694000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q**2 + 11*q + 4. What is f(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (12\/969)\/((-2)\/(-9)). Let b = 10534\/3553 - i. Let x = 361\/7 + -3747\/77. Find the common denominator of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.14 + 0.04. Let u = 344 + -348. What is the smallest value in u, 2\/7, -3, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 15*x - 22. Let v be h(13). Let q be ((-64)\/4)\/(-1)*v. Let w be (-7)\/(-1) + 0 - -1. Calculate the greatest common factor of w and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**3 + 4*r**3 - 6*r**3 + (-2*r**3 + 0*r**3 + 0*r**3)*(-1 + 2 + 1) + 0*r**3 + 2*r**3 - 3*r**3 + 2*r**3 - 16*r**3 + r**3.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30, -223, -576, -1089, -1762?\nAnswer: -2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 12:29 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**2 - j + 7. Let q(h) = 2*h + 3 - 2 - 3*h + 7. Calculate the remainder when o(-5) is divided by q(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1742, 3487, 5246, 7025, 8830, 10667, 12542?\nAnswer: 14461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 5192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/131056513 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(1\/3)*x)\/x)**(-2\/37))**(-2\/9)*x**(-1)*x*x**1*x\/(x*x\/x**3*x)*x\/(x**(-6)*x) assuming x is positive.\nAnswer: x**(7996\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -7*i**2. Let v(g) = 9*g - 5. Let z(x) = -14*x + 8. Let p = -2 - -7. Suppose p*t = 32 - 7. Let k(o) = t*z(o) + 8*v(o). What is k(c(y))?\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 + 2165?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1812 and 2253524?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence md when two letters picked without replacement from gghggmdhjdmjj?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -6*h**3 - h. Suppose -1 - 3 = -2*z. Suppose z*d + 6 = d. Let c = -7 - d. Calculate n(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 PM and 4:50 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8852 - 24*p - 20*p - 5837*p**2 - 1416 + 44*p wrt p.\nAnswer: -11674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 229949 - 76645 + 9*l + 2*l - 76655 - 76649.\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5123008 times 9?\nAnswer: 46107072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/5, 5, 0.0741, -2\/21, -0.3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -165 + 21. Suppose -b*w = -21909 + 2901. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13 and 34654?\nAnswer: -450502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 134139, 268280, 402421?\nAnswer: 536562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -7. Solve 0 = 5*q - t*o + 30, -4*o - 21 = 3*q + 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 126?  (a) 0.75  (b) -11\/9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 97) + (10 - (-48 - (0 + -50))).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f - 2. Let l = 1 - 3. Let q(u) = 21*u + 15. Calculate l*q(r) - 15*y(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8067 less than 0.00026?\nAnswer: 8067.00026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c**23\/c)\/c*c)**31*(c*c**(-1\/2)*c*c)**(-1\/10) assuming c is positive.\nAnswer: c**(2851\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u - 118 = 426. Calculate the remainder when 14\/(((-6)\/3)\/(-18)) is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -8*k**3 + 2*k**2 + 14*k + 58. List the prime factors of b(-4).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -2.9. Let t = -20.291 + 25.291. What is the nearest to t in g, -2\/5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 756\/(-336)*(-60)\/(-24).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 3*o + 784, -5*o - 1323 = 8*g - 0*o. Sort 5, g, 4.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 14411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 287 + -175. Let h = a - 111.7. Suppose 4 = -p - p. What is the closest to -0.009 in h, p, -4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {q: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -225405 by 45.\nAnswer: -5009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - (2 + -3))*1\/3. Is d less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -0*r. Suppose r = -5*l + z - 2*z - 9, -2*l + 18 = -5*z. Which is smaller: -2 or l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of -k**2 - 1\/20*k**5 + 7\/4*k**4 + 0*k**3 - 38*k + 0. Factor f(x).\nAnswer: -3*x*(x - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 79, 4, 6, -3.27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gvu when three letters picked without replacement from {g: 3, x: 1, v: 5, d: 1, u: 3}?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.70024nm to millimeters.\nAnswer: 0.00007170024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of -2*b**2 - 1\/360*b**5 - 1\/36*b**4 + 0 + 0*b - 1\/9*b**3. Factor f(i).\nAnswer: -(i + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4148.958 and -0.4.\nAnswer: -4149.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -5*i**3 - 6*i - 6. Let k be 3*1\/3 + -2. Let g be (k\/(-2))\/((-3)\/36). Let o(p) = 14*p**3 + 17*p + 17. Determine g*o(h) - 17*z(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -12.179 or 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 43426890 less than 343?\nAnswer: -43426547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 18 = 37*v - 186 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 13 and -129.0717.\nAnswer: -116.0717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 8*y + 266. Determine f(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 28*a - 21855 = 0. Suppose 0 = -6*s + 21 + a. Calculate the greatest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 - 174867*p + 524628 = 0. What is p?\nAnswer: -58292, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 8 = -7*g. Let a be 2\/g*40\/10. What is the units digit of (23*a)\/(18\/108)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 18*w - 1175 = 0. Let g(u) = 2*u**2 - 4*u + 2. Let l be g(2). Suppose -5*o = 4*k - 0*o - w, -5*k = -l*o - 335. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u**3 - u**2 - u - 1. Let s be l(-1). Suppose 2*o - s*z + 7 = 0, -25 = 2*o + 2*o + 5*z. Sort 0, 4, o in increasing order.\nAnswer: o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f + f**3 + 2*f + (0*f + 3*f**2 + 0*f)*(3*f - 2*f - 3*f) - 4*f**3 + 2*f**3 + 0*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 55724.44 kilograms in tonnes?\nAnswer: 55.72444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 27 divided by 309126\nAnswer: 9\/103042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3181*w**2. Let u(g) = 3*g**2. Determine r(u(v)).\nAnswer: 28629*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hdx when three letters picked without replacement from moxhd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 290\/15 + 1\/(-2) and 3 + -4 + 122\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - -1) + 16*1. Suppose 5*f = -q - 2. Let n = 16 + f. What is the highest common divisor of 24 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of c**5\/30 - 31*c**4\/24 - c**3\/2 - 11*c**2. Let t be x(16). Suppose -u = -t*u - 12. Is -1 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -0.4  (b) 2\/3  (c) -17  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -134 + 189. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -1, -4*x + 110 = -x - 5*w. Let n be 18\/10 - (-2)\/10. Suppose 0 = 4*y - n*k - 62, k - 3 = 2. What is the remainder when x is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24413 (base 6) to base 2.\nAnswer: -111000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7078231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -66*c + 8. Calculate the remainder when x(-3) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = 2*o + 4*q, 2*q - 76 = 20*o + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 871849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x + 9. Let l(y) = 1. Let d(n) = 10*l(n) - 2*r(n). Let v be d(6). Suppose -i + 180 = v*i. What is the greatest common factor of i and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 10 + (26 - 9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5009*p + 5111*p + 2040 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 250 = 54*h - 128. Suppose -2*y = 4*g + 5 - 81, 0 = 4*y - 3*g - 130. Suppose 2*p = -2*b + b - h, -y = 5*p - 3*b. What is the biggest value in -1\/3, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/2088432 and -55\/10964268?\nAnswer: 43857072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4.6 and -3.3166?\nAnswer: -15.25636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g**0)\/g)**(-23)*(g*((g*g**7)\/g)\/g*g)\/g**(8\/7) assuming g is positive.\nAnswer: g**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 36056333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - 18. Let t(z) = -z**3 + 7*z**2 + 11*z - 57. Let d be t(6). Let y = d + n. Solve 2*h + 1 = 3*l + h, -2*l = 2*h - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/q**(2\/3))\/q)\/q*q)\/q)**29*(q**(-3\/4))**30 assuming q is positive.\nAnswer: q**(-425\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -14802, -15074, -15812, -17250, -19622, -23162, -28104, -34682?\n\"Answer: -39*j**3 + j**2 - 2*j - 14762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n**2 - 2*n - 1. Let h(b) = -4*b**2 - b + 2. Let i(x) = a(x) + 2*h(x). Let s(p) = -7*p**2 - 8*p + 5. Give -5*i(o) + 3*s(o).\nAnswer: -o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -1 + 1. Let p(h) = h - 3. What is p(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4110.1721*-6\nAnswer: -24661.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -187 - -205. List the prime factors of (315\/f*4)\/((-4)\/(-36)).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*j - 266*j + 322 + 3968 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -106, -3, 3, 6006 in decreasing order.\nAnswer: 6006, 3, -3, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 + 4*f - 2*f - 2929.\nAnswer: 2*f - 2901","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -5. Suppose w + 13 + 9 = 4*c, 4*c - 26 = b*w. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.28 - 150.72. Let r = -74 - g. Let w = r + -78.00057. Round w to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = 17*a - 9. Let n = -3 + 10. Are a and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 8. Put w, 1, 0 in descending order.\nAnswer: w, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1468 * 8.21352\nAnswer: -12057.44736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 182*f - 11 = 179*f, 12 = 4*q + 4*f. Put -3, 0, -46, q, 3 in increasing order.\nAnswer: -46, -3, q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**2 - 2*s + s**3 + 186 + s**2 - 156 to p*s**2 + c + a*s**3 + k*s and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 7:40 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b - 10. Let h be m(16). Let u(f) = 8*f - 7 - 4*f + h*f - f**2. Let v be u(8). Solve v = -z + 2*d - 0*d, 0 = 2*d - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*c = 3*a + 8, -3*c = 12. Let q = 36 + -143\/4. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 3*z - 4*z. Let q = z - 16. Which is greater: 2\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22 + 108*w**3 - 46*w**3 + w + 0*w**4 + 5*w**4 - 61*w**3 to the form r*w**3 + x + f*w**4 + t*w**2 + q*w and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4 and 13.4?\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 104708713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 4*q + 0*q)*((-2*q**2 + 0*q**2 + q**2 + (1 - 2 + 4)*(0*q**2 - 2*q**2 - 2*q**2))*(0 + 0 + 2*q) + 15*q**3 - 6*q**3 + 29*q**3).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 0*p + 1 + 2*p. Let y(g) be the second derivative of -3*g**3\/2 - 2*g**2 - 236*g. Determine 7*s(w) + 2*y(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - l. Let f be i(0). Let h(u) = f*u + 1 - 3*u - 16*u. Let x be h(-4). Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8.028763ml?\nAnswer: 0.008028763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 257827 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 2. Give t(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 8:20 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uttfwtduiitudttidtw. What is prob of sequence iud?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -2*o**7\/105 - o**6\/15 + o**5\/5 + 2*o**4\/3 - 8*o**3\/3 - 4*o**2 - 2. Factor t(a).\nAnswer: -4*(a - 1)**2*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 169 - 24. Suppose 6*u = u + q. Solve 2*x = -5*v - u + 2, 0 = v + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 31*v - 35*v - 180 = 0, 132 = 3*f + 4*v. Solve 0 = -3*n - 10*n + f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 271015.4 kilograms to milligrams.\nAnswer: 271015400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 25.8*0.4\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -320 - 2*n + 320.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 143186*-3687.\nAnswer: -527926782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {j: 2, r: 6, y: 11}.\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13\/(-52) + -3 + (-86)\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*j*k**2 - 2*j*t*u**3 + 212*j*u**3 + j*u - 2*k**2 + k*t + k*u**3 wrt k.\nAnswer: 24*j*k - 4*k + t + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 2*r = -60, -4*u + 5*r + 57 = 9. Suppose 4*m = l + u, -4*m - 7*l = -2*l + 13. Solve -m*q + 6 = 2*p - 9, 5 = q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 6*f**2 - f - 1. Let h be z(-6). Suppose 26 + 34 = -h*t. What is the units digit of 660\/16 - (-3)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 33\/5*b**2 + 4*b + 22\/5*b**3 + 4\/5 + b**4 = 0. What is b?\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 592  (c) 2  (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.335 and -62155.\nAnswer: -62154.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 696 by -132.\nAnswer: -58\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 310 + -311. Let t = -1\/1061 - -21229\/9549. Which is the third biggest value?  (a) -5  (b) f  (c) -3\/7  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 62185777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28 + 53. Let b = y + -21. Suppose b*c + 17 = 237. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 303 + 2285. Is q a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2531105 at least -2531107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -215?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 + 12 - -9 - -5) + -2 + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57 = -3*i - 3*o, -6 = i - 8*o - 32 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*f, -w + 0*f + 3*f + 8 = 0. Suppose -2*r = 4*s - w*s + 14, 4*r - s = -3. Is -2 - -3 - 44\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 7056 + 46*u - 3522 - 3526 as w + r*u and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, n: 2, s: 2, b: 1, o: 5, a: 2}. Give prob of picking 3 o and 1 n.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13\/12 + 27\/4. Is 5 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 8*q - 6. Suppose 8*v + 30 = 3*v. Let n = 13 + v. Let p be o(n). What is the greatest common divisor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j - 40 = -16*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -236, 0.4, -0.2, -3 in decreasing order.\nAnswer: 0.4, -0.2, -3, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12218, -48957, -110214, -195989, -306282?\nAnswer: -441093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1008)\/3256 - 12\/(-33)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1645.1 + 0.05215.\nAnswer: -1645.04785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3231 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -234235*u - 7495513. Determine y(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85013311 = 60*k + 49086689. What is k rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2360\/2124 + 566\/9 - 5\/((-10)\/(-2)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 1  (c) -7  (d) 616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 1 - 17. Let x(p) = -4*p + 32. Let l be x(12). Sort l, 2, i.\nAnswer: l, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -78 - -65. Which is bigger: d or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -77 + 101. Let u be (2\/5)\/(s\/20). What is the smallest value in 4, -0.1, 32, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 2*u**3\/3 + 3*u**2 + 4*u + 3. Factor q(r).\nAnswer: 2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**2 + 9 + 1 - 2 + 5*f. Let g be y(-4). Suppose -2*p + 5*u = -57, g*u = 2*p + p - 75. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -6*k + 30. Let u(b) = 5*b - 29. Give 4*a(z) + 5*u(z).\nAnswer: z - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 2*z - 0*g + 3261, 4*g + 4891 = -3*z. Let s = z - -6467\/4. Calculate the common denominator of -55\/3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, m: 8}. Give prob of picking 4 m.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.022743 rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -447896, -448511, -449534, -450965, -452804, -455051, -457706?\n\"Answer: -204*f**2 - 3*f - 447689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -8*n + 11. Let i = -47 + 35. Let l be 5 + -2 + i - 0. What is the units digit of u(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -4. Let k be 6\/(-7) + (-4)\/(-14). Let c = -11 + 10.5. What is the closest to l in -2\/11, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73004 is divided by 5594?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n + 28 = -8*n + 36*n. Let t(m) be the third derivative of -2*m**n - 1\/8*m**4 + 0*m - 1\/80*m**5 + 0 - 3\/8*m**3. Factor t(v).\nAnswer: -3*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, 626 in increasing order.\nAnswer: -4, 1, 626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -1123  (c) -0.1  (d) -2  (e) 3  (f) -0.4  (g) -11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/7  (b) 108  (c) -4  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -15 and -89.1327?\nAnswer: 74.1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3396945595 to the nearest integer?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 148279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -26579158?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75922.\nAnswer: 2, 7, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/12*4\/14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/(-20)*(-6)\/6 and -63\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 times -1.13?\nAnswer: -15.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 9:49 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + r - 95. Let i be b(-10). Sort i, 10, 0.3 in decreasing order.\nAnswer: 10, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6\/13, 27, 337?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/((-162)\/69) + ((-2)\/(-90))\/(77\/1540).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -1.22325603?\nAnswer: 0.22325603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 26  (b) 529  (c) 153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (143*k + 219*k + 113*k)*(0 + 2 + 4) - k - 2 + 2 + (4*k - 2*k - 3*k)*(4 - 1 - 1) as g + b*k and give b.\nAnswer: 2847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 35008614413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -3*s**2 - 21*s - 24. Calculate d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 423592913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*s + 5 = -15*s + 10*s - w, -9*s - 2*w = 44 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 2*u - 4. What is q(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a**2 - 8*a. Let c be 4\/((-26)\/7 + 4). Let f be n(c). What is the highest common divisor of f and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 4\/7 + 1. Let z = -2.4 + 2. Put s, z, 4 in increasing order.\nAnswer: z, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-97)\/4*(0 + -12). Let l = -294 + j. Which is the second biggest value?  (a) 1  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17643*r - 3366 with respect to r.\nAnswer: 17643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 0 - 2 - (49 - 57).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19754435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 392507872.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 - -11.6. What is the fourth biggest value in -0.53, v, 2\/5, 1\/6?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -w + 6*w + 10*w**5 + 14*w**5 + 3*w**5 wrt w?\nAnswer: 540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {f: 2, h: 1, z: 3, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 175*f + 1436 = 515 - 829 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 - 39. Suppose 0 = -3*a - 2*x + 19, -5 = -5*a + 4*x + 12. Let q = a + l. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, -3394 in increasing order.\nAnswer: -3394, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1486 - 1348. Let n be (-3)\/9 - (-57)\/9. What is the greatest common factor of z and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5082 - 211 = z. Let r = z + -2392. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v = -v + 10. What is the highest common divisor of v and 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x. Let b be g(1). Let o be -2*((-4 - b) + 0). Suppose o*j + 16 + 48 = 4*i, 0 = 4*i + 3*j - 71. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-5)*v*v*v**3*v)**(-9\/5) assuming v is positive.\nAnswer: v**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -7 - 2) + (52\/21)\/(216\/252).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 95.4849 days?\nAnswer: 8249895360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -206 + 210. Suppose -w = x - 12, 14 = x + 2*w - 2. Solve -3*b - q = -5*q + x, -2*q + 14 = -z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*l**2 + 234*l + l**3 + 2*l**2 - 230*l to x*l**2 + m*l + k*l**3 + b and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(18\/30))\/((20\/30)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313965611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes before 4:56 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216902, -433797, -650678, -867545, -1084398?\nAnswer: -1301237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 41*u**3 + 4*u**2 - 4*u - 2. Let w be x(4). Let n = -1417 + w. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + f - 558, n + 2*n + 5*f = 348. Let r be (-19)\/(95\/(-6)) - ((-192990)\/75)\/14. What is the highest common factor of r and n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1155 = -70*w + 65*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26931)\/(-191))\/(-141)*(-158)\/(-2)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 734859.\nAnswer: 3, 17, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 10*d + 20. Let i = 344 - 333. Let w = i - d. Let s(f) = -2*f + 10. Calculate s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**2\/2 + 141346*n - 9989345858 = 0.\nAnswer: 141346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkddddkkkkd. Give prob of sequence kkd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7 + -3 + 3 + -3. Suppose -44 = -3*g + 4*q, 3*g - 12 = 4*g + o*q. Is 4\/g*7*22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.55 times 24\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3 - 4*j - 2*j**3 + 3*j**3 + 9*j - 10*j**2 - 4. Is z(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -68*s**2. Let t(d) = 47*d**2. What is n(t(r))?\nAnswer: -150212*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-69 + 121 + 184 + 74 + 32)*(3 - 2 + 1)*(-2*a + 15*a + a) in the form r + i*a and give i.\nAnswer: 9576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 + 44. Let k = -128\/23 + 8267\/1564. Let j = k + 1\/34. Which is the second biggest value?  (a) j  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 30 = 26. Calculate the common denominator of (p\/15)\/((144\/2260)\/(-3)) and 51\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -5*l - 44. Let w = l - -28. Suppose 3*t - 32 = 2*n, -5*t + 3*t - 4*n = 0. Calculate the greatest common divisor of t and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1011114699 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(-4)\/(-24)*9. Suppose -h*o + 3*o + 2667 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (143\/(-22) - -8)\/(165\/(-40)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 AM and 3:57 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204 + 204 - 86*t**2 - 431*t**2.\nAnswer: -517*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = f + 1. Let x be (-1)\/2*(f + -2). Suppose 37 = 3*g - x*y, 5 + 58 = 5*g - 4*y. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/5 in -4, 0, 17.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1367*g**4 - 233412*g**2 + 474871383*g?\nAnswer: 16404*g**2 - 466824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 0 - 13) + (71 - 58) + 91.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/5628 and -95\/84?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 17*t - 58. Determine h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-444)\/(-15) - 3) + (-2432)\/1520. Solve -76 = -6*c + o*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 93 + 25 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 481, 912, 1253, 1474, 1545?\nAnswer: 1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/2, 0, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, 0, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times 27028?\nAnswer: -1081.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-2*(sqrt(637) + 6*(sqrt(637) + -2) + 0 + sqrt(637) + 5) + 3).\nAnswer: -112*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/(-10)*12 + 1. Let x(j) = -j**3 + 6*j**2 + j - 8. Let n be x(6). Let d = n - -3. Sort -4, -3, d, r in decreasing order.\nAnswer: d, -3, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(-3\/4))*i*i**4)**(17\/2))**(4\/11) assuming i is positive.\nAnswer: i**(289\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1997 is divided by 966.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/2997740 and 19\/1049209?\nAnswer: 20984180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - -1064540?\nAnswer: 1064546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*z**3 - 8207*z**2 + 9376*z wrt z?\nAnswer: 18*z - 16414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 - 30 = 4*q - 5*r, 3*q + 4*r = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5 - 4752*b**4 - 2784200*b**3 + 45983520*b**2 + 125187712*b - 411959808 = 0. Calculate b.\nAnswer: -1196, -4, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2816)*-4 + sqrt(2816) + sqrt(44).\nAnswer: -46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7 - ((-1190)\/(-90) - 10). Which is the third biggest value?  (a) f  (b) -2  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27348*x - 1624260 = 1329324 for x.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -350*y + 392*y - 336. Solve 1 + y = -c - 5*x, 4*x = -3*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*sqrt(200) + (sqrt(200)*3 - sqrt(200)) + -5 + (sqrt(200) - (0 + sqrt(200))*2) + (-1 + sqrt(200)*2 - sqrt(200)))**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -24 - 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1253*a - 178 - 1243*a - 118.\nAnswer: 10*a - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.817 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.022 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 1:59 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11497 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a. Let y(z) be the second derivative of z**3\/3 + 756*z. Suppose -4*o + 2 = -2*o. What is o*y(n) + 4*u(n)?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (126\/4 - 14 - 17)*-48?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -31*n + 75. Let g be i(7). What are the prime factors of (0 + 1)*-3 - (5 + g)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -4*q**2 - 3. Let i(b) = b**2 + 1. Let d(h) = -19*h**2 + 25*h**2 - 5*h**2 + 2. Let l(k) = -d(k) + 2*i(k). Give l(r(z)).\nAnswer: 16*z**4 + 24*z**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*l - 36 = -10*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 3*u**2 + 5*u + 3. Let b be a(4). Suppose b*n = 4*n + 90. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 1 - 1)*(-2*v**3 + v - v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119443499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 170 - -3?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1930 + 70. Suppose 0 = 6*w - 164 + 848. Let v be j\/(-120)*(0 + 19)*w. What is v rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -255 minus 16?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - -17. Suppose 2*l + 0*l - a = 21, -5*l + 2*a + 52 = 0. Let c be 0 + ((-7566)\/(-30) - 2\/l). Calculate the greatest common factor of u and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/24)\/(1 - 0). Solve 5*v + 3*l + 20 = f, -4 = 2*v - v + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2317459979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*j - 4*j. Solve -3*b = j*r + 1 + 16, 2*b = -4*r - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 2*j + z - 11, 0 = -j + 4*z + 22. Suppose 9*p + 298 = j*p. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -199342 by -447.\nAnswer: 199342\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 18 - (2 - -2)) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 9*d. Let n(m) = 2*m + 62. Let h be n(-29). Suppose -5*l + l + 3*x = -39, -48 = -5*l + h*x. Let j(q) = 10*q + l*q - 25*q. Calculate r(j(y)).\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zff when three letters picked without replacement from {z: 2, e: 1, i: 1, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -0.12  (b) 0  (c) 254  (d) 0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 + 6*f - 3. Let c(v) = -2*v**2 + 12*v - 5. Let b(p) = -6*c(p) + 11*k(p). Let m = 17 + -10. What is b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229 = 58*u - 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1899 - -866.88541?\nAnswer: 2765.88541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -2*z + 1 + 1, 2*c + 3*z + 11 = 0. Let j = -28.89 - -29. Let o = -0.61 + j. What is the nearest to -0.2 in 0.4, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -393273*f**4*i**2 + 43*f**4 - 160056*f**2*i**2 - 4*f**2 - f wrt f?\nAnswer: -9438552*f*i**2 + 1032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2216 = -3*q, 3431 - 1955 = 2*q + 2*d. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 24 = 8*f. Suppose -4*t = -f - 2. Suppose -4*r - 24 = 4*z, -2*z + 7*z + 30 = -t*r. Let n(v) = v**3 + 5*v**2 - 7*v + 8. What is n(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5 + 1.7. Let y(s) = 2*s**3 + 2*s**2 - 2*s. Let k be y(-2). Let z = k + 7\/2. Which is the closest to z?  (a) j  (b) 4  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/4 - 7\/((-14)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 304 >= -10\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/3 - 2164*u**2\/3 - 4331*u\/3 - 722.\nAnswer: (u - 2166)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6092 - 20?\nAnswer: -60b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 2*a + 3*i, 96 = 5*a - 3*i - 252. Let r = a + 0. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + 8*i**2 - 10*i - 2. Let b be s(-9). Let a(m) = -2 + b + m**2 - 4 + 3*m. Calculate a(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 324 + -469 + 225 - (9 + 0 + -1 + 0)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.89 - 592.11. Let s = 528 + d. Put 1\/4, s, -0.2, -3 in descending order.\nAnswer: 1\/4, -0.2, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19)\/(-95)*-5*-5*(-1 + 6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/((sqrt(3) - 1*sqrt(3) - sqrt(3))*-4))\/(((sqrt(66) - (4*sqrt(66)*5 - sqrt(66))) + sqrt(66))\/sqrt(11)))**2.\nAnswer: 1\/2312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-2 + -7 + 3)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 12*n - 57. Give r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/24*-3*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -100 - 3*x**2 - 78 + 2*x**2 - 64*x + 211. Is f(-56) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5599702 - 12\nAnswer: 5599690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 134*l - 88*l + 65*l + 95*l - 14. What are the prime factors of x(2)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 163640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -11*f**3 + 20*f**2 - 5*f + 3. Let h(q) = 9*q**3 - 19*q**2 + 4*q - 3. Calculate -5*h(p) - 4*r(p).\nAnswer: -p**3 + 15*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -13. Let y be 6\/4 - (-5)\/c. Solve f + y = 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + z + 1. Let m(s) = 5*s**2 - 12*s - 2. Let u(c) = m(c) + y(c). Let n be u(3). Solve -a + 4*i - 29 = -6*a, -n*a + 11 = i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 850406 is divided by 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5594\/18705 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/32 in -13, -21, 25\/22, 5?\nAnswer: 25\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {u: 2, r: 3, n: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 23605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -11*m**3 - 3*m**2 + 2*m - 7. Let y(a) = 6*a**3 + 2*a**2 - a + 4. Let p = -20 + 16. Calculate p*v(u) - 7*y(u).\nAnswer: 2*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 7*l - 5*l. Let g be 1410\/8 + 1\/(-4). Calculate the greatest common divisor of l and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -661806 = 93*d - 3089664. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 4095299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - 2*i + 1. Let u(m) = 2*m**2 + 21*m - 29. Let p(g) = -u(g) + 6*w(g). Let n be p(7). Solve -8*c + c = n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.2 in -1\/7, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -865, -1732, -2599?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -19, -3, 0, -65 in decreasing order.\nAnswer: 1, 0, -1, -3, -19, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o - 2*o + 27*o**2 + 3*o. Let x = 546 - 547. Does 27 divide w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/40 + (-398)\/(-10))*7\/21\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 4*g + 64 = 0, n = 2*n + 494*g - 489*g - 8 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4 - 1501*v**3 - 41160*v**2 - 146596*v - 140576.\nAnswer: (v - 1528)*(v + 2)**2*(v + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -1 - (1 - 21 - -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -8) + (-10 - (-30 + 22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(3) + (sqrt(192) - (1 + sqrt(192))))**2 + sqrt(3) + -5*(2*sqrt(30))\/sqrt(10) + 1.\nAnswer: -11*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*c - 87 = -12*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 100301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 292228 is divided by 17093?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1260 - 54?\nAnswer: -1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4, -4, -6, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 18139?\nAnswer: 18139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-2*sqrt(50))\/sqrt(10) + 4*(sqrt(80) + 5).\nAnswer: 17 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 4*z - 36. Let g = 300 - 292. Let k be v(g). Sort k, -2, -5, 0 in decreasing order.\nAnswer: 0, -2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -8*y**2 - 304*y + 1. Determine t(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*h**2 - 2*h - 67 wrt h?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of q**6\/720 + q**4\/12 + q. Let u(k) be the third derivative of f(k). Let t(y) = -1 + 3 - 2 - y. Calculate t(u(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 8*a - 2. Let g(p) = -p**2 + 14*p - 7. Let s be g(13). Let m be v(s). Let t = -17 - m. Let d(k) = k**2 + k + 4. What is d(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48 and 146704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -1. Let n(i) = i**2 + 5*i + 6. Let s be n(-4). Let x = g - s. Solve -q = -5*z - x*q + 21, -3*z - q + 13 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**4 + 17*i**3\/5 + 74*i**2\/5 + 28*i\/5 - 24\/5 = 0. What is i?\nAnswer: -2, -1, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j**5 + 25380*j**4 - 15*j**3 - 76130*j**2 + 50760*j = 0. Calculate j.\nAnswer: -5076, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 3*x = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/12 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/4, -4, 10, 2.\nAnswer: -4, -1\/4, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gssseeseeessee. Give prob of picking 2 s, 1 g, and 1 e.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - d**2 - d + 2. Let o be a(0). Suppose 5*v = 3*v + o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -7. Let h = f - 0. Solve -h*u**3 + 8 + 2*u**4 - 6*u**2 + 0*u**3 - 4 + 2*u = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - -3. Is (0 - 1)\/(j\/(-236)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 - 565*h**2 + 15460*h - 28700.\nAnswer: 5*(h - 70)*(h - 41)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 2. Let a be v(0). Let u(c) = -8*c - 1. What are the prime factors of u(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*k**3 - 228*k + 228*k.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2072\/795 + -1\/159. Suppose -4*x = 73 - 25. Calculate the common denominator of ((-13)\/x)\/((-2)\/(-4)) and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = 6 - 0. Let w be (0 + 1\/s)*6. Suppose 7*f - w*f = 30. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/15 + 46\/10. Suppose -z*s - 2 + 17 = 0. Solve 0*h - 4*u + 12 = s*h, -h + 2*u + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -25, -2\/19, 9, 4\/3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 - -52. Let x(u) = -u**2 + 10. Let w be x(7). Let g be w\/(-6) + 2\/4. Calculate the greatest common divisor of b and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, -100, -11 in descending order.\nAnswer: 3, -1, -11, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 14 + 14 + -43.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 2)*(5 + 0 - 1 + 4*r) to the form l + a*r and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -1097824?\nAnswer: 1\/1097824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 279486*z**3 - 294136*z**2 wrt z.\nAnswer: 1676916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -33 + 779168834\nAnswer: 779168801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*j**2 + 7*j**2 - 15*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 112822 - 0.9.\nAnswer: 112821.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27156 and 1023?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1830146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*h**2 + 95*h**2 + 133*h**2 + 18*h**2 + 5*h**2.\nAnswer: 235*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 59 + 55 = -3*i, 4*v = 5*i + 463. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 10. Let k(g) = g**2 + 9*g + 5. Let r be k(d). Which is the second biggest value?  (a) 2  (b) -1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48 + -47.6. Which is the closest to 0?  (a) 0.2  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + 46. Suppose 4*m + l = -75. Is 17 a factor of 4*(m\/(-4) - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 6, 1764, 0 in descending order.\nAnswer: 1764, 6, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**3*y**2 + 3*b**3 - 20*b**2*y**2 - 6877*b**2*y + 7*b*y**2 - 18*b*y - 55*y**2 wrt y.\nAnswer: 4*b**3 - 40*b**2 + 14*b - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -5 + (3 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of -x**4\/3 - 3*x**3\/2 + 4*x. Suppose 5*j - t = 62, -j - 2 = -2*j - 5*t. Let a(p) = 10*p**2 + 22*p. Determine j*l(k) + 5*a(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3992)\/(-1497) - (7\/(-3) + 2). Solve 17 = -5*k - 4*x + 36, -r*x + 17 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 - 193 = 27*c + 117 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 10*v**2 + 10*v - 3. What is the derivative of d(s) wrt s?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*u - 104 = 65*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 9*l**2 - 962*l + 5597. Give d(101).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, n: 1, e: 2, g: 11}. What is prob of sequence ee?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 8, 36207, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 50 + e43?\nAnswer: e93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10\/1)\/(5 + -3). Suppose -2*r + r + 1 = h, 2*h + 7 = -i*r. Suppose -1 = k - 4, h*w = 4*k - 8. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 51\/209978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 242 + -146. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76957738 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*k**2 + 144\/7*k**3 - 3\/7*k**5 + 0*k + 0 - 6\/7*k**4.\nAnswer: -3*k**3*(k - 6)*(k + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 824 a factor of 1478256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -201*j - 40*j + 638 - 5940 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1306573, 2613147, 3919721?\nAnswer: 5226295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**2 - 839000*v - 170523045 = 0 for v.\nAnswer: -203, 168003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 5*m + 50 = 0, 3*k - m - 20 = -k. Let y(z) be the third derivative of z**6\/120 - z**5\/10 + z**4\/4 - z**3\/3 + 27*z**2 - 12*z. What is y(k)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (58\/(-2))\/((-3)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 75*k + 234932 = 79*k, -4*m + 4*k = -234884. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of h**5\/30 + 4*h**4\/3 - 194*h**2. Factor k(p).\nAnswer: 2*p*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/10 + (-3619)\/(-18445). Let g = 33209\/2108 + t. What is the common denominator of g and 36\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 4\/3*t**3 + 0*t**2 - 6*t + 8. Differentiate k(v) wrt v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(1573) + 1)*-5 - (5 + sqrt(1573) + sqrt(1573)*2)) + -5)*1*-2)**2 + 3 + -5.\nAnswer: 10560*sqrt(13) + 403586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 13. Let x = 12 + k. Let m(b) = -1 + 2 - 2*b**3 + 2*b - x*b. Let d(n) = -8*n**3 - 17*n + 4. Determine -2*d(o) + 9*m(o).\nAnswer: -2*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 32 + 4. Let d(p) = -p + 2. What is the remainder when 30 is divided by d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 1, 3 in ascending order.\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c + 0*c + 3*c + (-6 + 2 + 3)*(2*c - c + 0*c) + 0*c + c - 3*c + 3*c + c - 6*c + 3*c + 0*c - 2*c + (13 + 12 + 14)*(7*c + 4*c + 9*c).\nAnswer: 778*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 218010671 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*t - 1\/4*t**3 - 8 - 5\/2*t**2 = 0. What is t?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 12:02 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5540*o**3 + 3*o**2 - 3*o + 6. Let z(r) = 86867198*r**3 + 47039*r**2 - 47039*r + 94078. What is 94078*s(q) - 6*z(q)?\nAnswer: -11068*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 10*o + 2. Let c be i(10). Solve -2 = -c*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (4 + -8) - 7 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 + 4)*(0*d + 0*d - 2*d) + (-3*d + d + d)*(-1 + 4 + 4) in the form y*d + u and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 24*n - 36. Let q(s) = -s + 1. Determine h(o) + 36*q(o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 2:45 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*l**2 + 13200*l**3 - 16*l**2.\nAnswer: 13200*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tzbrzbztrbzbbbbbrbr. Give prob of picking 2 z and 1 t.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43*s - 35*s + 30*s + (-23 + 23 + 8*s)*(-1 + 5 - 2))*(7*s + 0*s + 0*s).\nAnswer: -224*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 2:05 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 3 + 0)*(1 - 1 - i) - i - 12 + 12)*(1 + 3 - 1).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t - 15 = 2*b - 2*t, 3*t = b - 20. Suppose b*p - 107 = 563. Suppose -105 = -5*u + 3*f, -19 + p = 5*u - 5*f. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2011 - 10011010?\nAnswer: -10020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6.526531371 - 1.1\nAnswer: -7.626531371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2156352763?\nAnswer: 2156352763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 35  (b) 1\/5  (c) 3  (d) -23  (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 579285 is divided by 7059.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 358423356 to the power of 1\/3, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(400))\/(sqrt(2) - (sqrt(2) - sqrt(4)\/(-3*sqrt(2)))).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 17 - 19 = 0. Suppose -z = 2*m - 6*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12210 - 1001?\nAnswer: 11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -0.3  (b) -5  (c) -1\/5  (d) 11  (e) -74\/9  (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 359.7143 kilograms?\nAnswer: 359714300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*l + 3*l + 7*l in the form s + q*l and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h**4 - 4*h**4 - 5*h**4)*(3 - 1 + 0) + 2*h**3 + 15*h**4 - 2*h**3 - 2*h**4 + 0*h**4 + 3*h**4.\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from huhhuhuhhu. What is prob of picking 1 h and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {q: 2, k: 1, u: 3, e: 6, m: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/sqrt(486) + 3.\nAnswer: sqrt(13)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*z - 2*s, -z - 3*s + 20 = 2*s. Suppose 7*x - 3*x + 12 = z. What is the tens digit of (370\/(-15) - -2)*x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dlgg when four letters picked without replacement from cgdgglclggg?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(224)\/sqrt(4))\/sqrt(8))**2*-2 + (6*sqrt(896))\/((sqrt(40) + (sqrt(40) - (sqrt(40) - sqrt(160)\/sqrt(4))))\/sqrt(5)).\nAnswer: -17 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**4 - 35*m**3 - 102*m**2 + 460*m - 200.\nAnswer: -(m - 2)*(m + 10)**2*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.67 and -2.128301?\nAnswer: 1.458301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pppgspppps. What is prob of sequence pps?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -45 + 1313*n**2 - 1299*n**2 - 12 + 2*n in the form v*n**2 + k + o*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 662202207 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6549649 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 367 and 440767?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r**3 + 101561*r + 17*r**2 + 31*r**2 - 101561*r.\nAnswer: -6*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 69267.8 to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -351876 + 1598853 = 217*r - 858140. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6899*a**3 - 11191*a**3 + 13132*a**3.\nAnswer: 8840*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {u: 1, f: 5, m: 1, t: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-2\/5))**(-48)\/(z*z**(1\/5)*(z\/(((z\/z**0*z)\/z)\/z))\/z))**(-7\/4))**(-23) assuming z is positive.\nAnswer: z**(-27531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 12031747 a multiple of 1203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-260)\/(-25))\/(-13))\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 65 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 = 198\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*2*3*(-5)\/(-5). Let t be (-3)\/9 - (-2)\/a. Factor 4\/5*u - 2\/5*u**2 + t.\nAnswer: -2*u*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -972756, -1945514, -2918272?\n\"Answer: -972758*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5503259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 4*a**2 + 2*a - 1. Let u(f) = -f**2 + 4*f - 2. Let n be u(3). Let p be z(n). Solve -3 = -p*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 238 = -4*r - s, -4*s = 4*r + 232. Let p = r - -88. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9765 (base 15) to base 13.\nAnswer: -11780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000083192 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 4 - 4*v - 7.\nAnswer: -4*v - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 10*g**2 - 2*g**2 + 65 - 65 - g**2.\nAnswer: -13*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 231869975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + 0*x**2 - 2*x**2)*(-4 + 2 + 1).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xgrgxgqxxrxxxqxx. What is prob of sequence qx?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18846 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/4 > 0.238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 798230024.\nAnswer: 2, 467, 213659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 7. Suppose 20 = -3*s + h*s. Find the second derivative of 9*y - 2*y + s*y**2 - y - 8*y**2 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of u**4\/4 - 8*u**3\/3 + 4*u**2 + 3*u - 21. Let t(i) = -i**3 - 5*i**2 - i + 2. Let r be t(-5). Does 10 divide y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 73\/10547 - 3876157\/563072689. Let g = b - -4431041\/2135480. What is the common denominator of 103\/48 and g?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 4. Let k = 2 - s. Put 2\/9, -5, k in descending order.\nAnswer: 2\/9, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129 by -6.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o - 2. Let d be a(8). Let r = d - 4. Find the third derivative of -4*i**4 - i**4 + i**2 - r*i**2 + 2*i**4 wrt i.\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -180*z - 294*z + 149386 + 7430 - 70*z + z**2 - 248*z.\nAnswer: (z - 396)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3502370, -7004741, -10507112, -14009483?\n\"Answer: -3502371*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 180\/72 + 3\/2. Solve r + g*q = -q + 7, -q = 5*r - 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {p: 7, x: 1, e: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - (-2 + sqrt(833))) + 4 + sqrt(833) + sqrt(833)*2 + -1)**2 + 0.\nAnswer: 210*sqrt(17) + 7522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 20\/652953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 727387253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 2, -5*q + 13 + 1 = 4*v. Suppose q*w = 4, 0*y + y - 3*w = -4. Let m(u) = -u + 10*u - 7*u - 3 + y. Determine m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -12, -4, 133189 in decreasing order.\nAnswer: 133189, 1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 1. Let z be t(2). Suppose 0 = z*j - 27 - 83. Calculate the remainder when j is divided by 7*(2 - 1) - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-8\/11))\/x**(-42)*(x\/x**(-4\/5))\/((x\/x**(1\/24))\/x) assuming x is positive.\nAnswer: x**(60151\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (25\/2)\/5 - (-2)\/(-4). Determine z, given that 6*z**2 - 46 + 0*z**2 + 9*z + 34 - 3*z**n = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 20*s**2 + 24*s - 58. Let j be m(21). Suppose j*d - 13*d + 3024 = 0. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = i - 4*g + 8, -30*g = -4*i - i - 245 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24002118*o**2 - 48004269*o**2 + 24002144*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a minute in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -414160+-31\nAnswer: -414191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -215468885*s**2 + 169923258 with respect to s.\nAnswer: -430937770*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 + -18. Let m = 19 - 10. What is the tens digit of -2*(b - m\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41.92 + -41. Let x = 0.62 - p. What is the third biggest value in 3, -5, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -8*d**2 + 533*d + 564377. Determine q(301).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 644533\/24 + -26861. Calculate the common denominator of y and 20\/(-12)*(-11)\/(-13).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 2 - 90)*(-3*d**2 + 3*d**2 + 2*d**2).\nAnswer: -136*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -9*o**2. Let c(j) = -11*j**2 + 4*j + 4. Let r(v) = -10*v**2 + 3*v + 3. Let g(l) = -3*c(l) + 4*r(l). Give g(y(u)).\nAnswer: -567*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -3\/7  (c) -1\/2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -601 - 164 = -17*r. Suppose 0 = -q - 3*u - 4 - 2, -3*q - 2*u = -17. Calculate the highest common factor of r and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13.5 + -3.5. What is the closest to 0 in -4, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -138810*a**2*l**3 - 6567*a**2*l**2 + 2*a**2 + a*l**3 + 2*a wrt l.\nAnswer: -832860*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 3:09 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccccwcccz. Give prob of sequence ccz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 + t - 4. Let n be p(2). Which is the biggest value?  (a) 4  (b) -3\/7  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/2 + 18\/12. Let i = -3 + n. Find the first derivative of z**4 + 2*z**4 - 2 - i wrt z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -329*o - 324. Let j be z(-1). Let a(v) = v**3 + v**2 + v. Let i(s) = 7*s**3 - 4*s**2 + 5*s. What is j*a(c) - i(c)?\nAnswer: -2*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -1, 3, 4 in increasing order.\nAnswer: -1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4 = 4*w, 1 = 3*n + 3*w - 2. Suppose 2*h = -0*k + 5*k - 14, 3*k + 2*h - 18 = n. Solve k*g - 5*g + 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1203544 (base 10) to base 15\nAnswer: 18b914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1538925?\nAnswer: 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-493)\/4466 - (-4)\/22)\/(-1)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 1:07 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -9132*k - 5983. Let l(p) = 3048*p + 1995. Let w(a) = -7*l(a) - 2*t(a). What is the first derivative of w(i) wrt i?\nAnswer: -3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 - 22*o**2 - 46*o + 54. Let x be a(24). What is the third derivative of -24*d**2 + 9*d**3 - x*d**6 - 18*d**3 - 148*d**2 + 9*d**3 wrt d?\nAnswer: -12240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18971 is divided by 9474.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4670*q + 152500 - 544780 for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -5*k**2 - 2*k**2 + 13 + 12204*k**3 - 12206*k**3. Calculate h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0017 + 5.9817. Let z = k - 6. Let x = z - -0.01999948. Round x to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = 28*i - 73 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 5)*(3*j - 3*j + 2*j**5) - 3*j**5 - j**5 + 11*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.057467 * -0.4\nAnswer: -0.0229868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -47*u**4 + 2*u + 9. Let y(g) = -30*g**4 - g**4 + 5*g - 65*g**4 + 17. Let s(b) = 10*x(b) - 4*y(b). Differentiate s(r) wrt r.\nAnswer: -344*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5238)\/135 + 31 + 2\/((-84)\/(-35))*12.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 + 2 + 2 - -1. Let n be 16\/56*r\/4. Which is the smallest value?  (a) 10  (b) 2  (c) 3\/5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/5)\/g)**(-23)*g\/g**(-6)*g**(-4\/3)\/g)\/((g**(-1))**16)**(-1\/27) assuming g is positive.\nAnswer: g**(2413\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, -17, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5 + (sqrt(1872) + 0 + 5 - 3*sqrt(1872)*-4))**2 + -1.\nAnswer: 316369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (2*(-1 + sqrt(1584)) + sqrt(1584) + sqrt(1584))*-4 + 4)**2.\nAnswer: -4608*sqrt(11) + 405648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41 + -34. What is the remainder when 17 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**2 - g - 9. Let b(o) = o**2 - 4. Suppose -5*s = 15, -3*n - 2*n + s - 7 = 0. Determine n*j(a) + 5*b(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:11 PM and 3:44 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 39*b**2 + 233*b + 62. Calculate k(37).\nAnswer: 5945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9304237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.1 and 36931926\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.022027539 + 0.021999. What is q rounded to 6 dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mw when two letters picked without replacement from moojomjriiwojr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1776 and 5328?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1574 = -f + 4*a, 0*f + 6376 = 4*f + 4*a. List the prime factors of f.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-665584)\/8432 - ((-918)\/186 - -5).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292812 (base 12) in base 6?\nAnswer: 22433222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -41, -145, -261, -341, -337, -201, 115?\n\"Answer: 8*u**3 - 54*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 - 2. Let p = f - -18.1. Let w = -1 - p. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of 0*a - 40*a**2 + 5\/2*a**4 - 10\/3*a**3 - 5\/24*a**6 + 0 - 1\/4*a**5. Let n(m) = 0. Calculate m.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68472 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(225) + (sqrt(225) - sqrt(225)*1))*2)\/(sqrt(27)\/(sqrt(9) + sqrt(9)*-2) - sqrt(3) - sqrt(3) - (-1*sqrt(48) - sqrt(3))))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uudxoxdxudu. Give prob of sequence xxxd.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 9 + 0)*(-2 - w + 2)*(7*w + 4*w - 5*w) in the form t + b*w**2 + a*w and give b.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -699, -769, -839, -909, -979?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.1759023t?\nAnswer: 175902300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102837 divided by 21.\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (4 + -11 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 405*k + 7 + 403*k - 20.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from agattttatta. What is prob of sequence tagt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l + 1. Let z(g) be the first derivative of -3 + 45 - 3*g**2 + 0*g**2 + 4*g**2. What is 4*h(j) - 5*z(j)?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 12:14 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -3*d - 3*r - 4, r - 5 = -5*d. Let w = -180 - -180. Solve w = -z + i + d*i - 10, -8 = -4*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t + 8*t - 3*t)*(t - 3*t + 3*t - 4*t - t + 3*t + (-6*t + 3*t + t)*(1 - 6 + 3) - 4*t + 0*t + 3*t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = c - 4*y - 30, 0 = 4*c - 5*y - 72. Find the first derivative of -c - 47*p - 11 - 17 wrt p.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11 - -41. Solve 0 = -v - j + 9, -5*j - 5 = v - r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*p + 1605 = -2325 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 + 8. Let v be 1\/(0 - n) - 5. What is the units digit of -2*(-2 - 4\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 11, 42, 85, 140?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49 - 113) + 219 + (-1 - 0) + 1 + 5.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 21*n**2 + 18*n + 2. What is the units digit of v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 4*f + 5. Let v(n) = n**2 - 4*n - 16. Let m be v(7). Let r(u) be the third derivative of u**4\/4 + 4*u**3\/3 - 2*u**2. Determine m*r(g) - 8*p(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 24780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from muohcjo. Give prob of sequence ju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 499246.\nAnswer: 2, 11, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.07, 7\/10, -0.1, -1, 3, 2, -3\/5?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -178?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4603 - -10.0053. Let m = -19.84 - y. Let w = m + 28.8. What is w rounded to two decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -502201*a**3 - 502214*a**3 + 1004423*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*5*(sqrt(3072) + sqrt(3072) + 3 + 0 + sqrt(3072) + -5 + 0)**2.\nAnswer: -553040 + 7680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 53.6873 to one dp.\nAnswer: 53.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12292012?\nAnswer: 2, 19, 197, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 + (17 - (-48 + 104))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a minute in seconds?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 302519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 475 - 472. Suppose -a = j*v, a + 2*a + 7 = -2*v. Put 0, 2, v, 15 in ascending order.\nAnswer: 0, v, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 939085273?\nAnswer: 7, 134155039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l + 6 + 3*l**2 - 5*l + l. List the prime factors of d(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(108)*4)\/((sqrt(12) + sqrt(12)*2)*4))\/((sqrt(243) - sqrt(243)*-1)*-3 + sqrt(144)\/sqrt(3)*-1).\nAnswer: -sqrt(3)\/174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.46 * 0.1\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 1338 = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, u: 10}. Give prob of sequence ul.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 819 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 1)*(-4 + 1 + 0)*(4*f - 5*f + 2*f + (-2*f + 5*f - f)*(-3 - 2 + 3) + f + 0 + 0 + 2 - 2 - f - 9*f + 2*f + 52*f).\nAnswer: 252*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 - 11*b + 6. Calculate i(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g - 11 + 11)*((1 - 1 + 4*g)*(2 + 3 - 4) + 2 + g - 2) in the form b*g**2 + q*g + c and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 8917, 33503, 74481, 131851, 205613?\n\"Answer: 8196*v**2 - 2*v + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4  (b) 5804433  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34854, 34845, 34836, 34827?\nAnswer: 34818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {p: 1, m: 1, l: 1, w: 1, a: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 m when four letters picked without replacement from qqmnnmmmqqm?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 37*d**3 + 4*d**2 - 14*d - 10. Let t(q) = -37*q**3 - 3*q**2 + 12*q + 9. Let a(l) = -3*k(l) - 4*t(l). Find the second derivative of a(s) wrt s.\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 6) + 4 - (0 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sosorsoirssrrrsrfo. Give prob of sequence os.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - -1)*(13 + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00064528 rounded to 6 dps?\nAnswer: 0.000645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.026 and 405.6.\nAnswer: 4877.7456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u\/(u*u*u**(-1\/4)*u))\/u*u)\/u**3)**(-16\/9))**(-37) assuming u is positive.\nAnswer: u**(-2812\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.8 - 3.7. Let g = -12.5 + x. What is the second biggest value in 0.5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j**3 - j + 1. Let q(d) = -d**3 - d + 1. What is q(x) - t(x)?\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13400 + 13399.99990558. What is n rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f - 5. Let l be g(-5). Let v = -2408 - -2407.5. Let b = -0.5 - -0.52. What is the nearest to -0.1 in v, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48781213 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -320 (base 6) to base 5.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 841289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 3:26 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 151.\nAnswer: 4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7568201*y**4 - 13410992 wrt y.\nAnswer: -30272804*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*g + 9. Suppose k = 4*l - 0*k - 24, 0 = -g*k - 12. Suppose -2*q = 5*c - l*q - 33, 2*c - 4*q - 16 = 0. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 52.74321 centuries?\nAnswer: 63291.852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) -0.2  (c) -276  (d) 4  (e) -1\/38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 8 = 2*h, -5*h - 2 = -3*h. Let g = c + 7. Solve 5*s + 0*s - g = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16090 bigger than -16091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26 + 1261?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -12779569 to the nearest 100000.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (7 - ((1 - 8) + 34 - 6)) + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -901 * 0.5.\nAnswer: -450.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**3 - 8*d**2 - d + 6. Let y be c(8). Let z(l) = -3*l**2 - 3*l - 2. Let i be z(y). Let w = -3 - i. Solve w*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 8 - 13. Let y(n) = -425*n + 5. List the prime factors of y(b).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-0.101\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40697 = -5361*p + 1433*p + 82400 + 135057 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4729751, -9459435, -14189119?\n\"Answer: -4729684*l - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*y - 32\/3*y**3 - 2*y**4 + 32\/3 - 16*y**2.\nAnswer: -2*(y + 2)**3*(3*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 + 9*s + 22. Let o be b(-4). Sort -16, o, -5 in ascending order.\nAnswer: -16, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/2136 and -55\/168.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + 2. Let z = -11 + d. Let f = 60 + z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -4  (c) -3  (d) 5  (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3999 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 + -9.86. Let y = -0.34 + d. Sort -3, y, 0 in ascending order.\nAnswer: -3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of 2*s**6\/3 - 12*s**5\/5 - 10*s**4 - 8*s**3\/3 + 18*s**2 + 20*s + 33. What is d in c(d) = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24.5 - -18. Let q = o + 6. Let s = q + 4.5. What is the third smallest value in 2\/21, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(3\/5))**(1\/12))**(-47)*(q*q\/(q*q**(-3\/8))*q*(q**(1\/6)\/q)\/q)\/((q*q**2)\/(q\/q**1)) assuming q is positive.\nAnswer: q**(-577\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -101445 - -60234. Let f be (-2)\/4 + u\/18. What is f rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8686\/21 - -2900\/7. Which is the nearest to -0.04?  (a) w  (b) -1\/2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 + 3)*(3 - 3 - 2*o**2)*(-1 + 2*o**3 + 1).\nAnswer: 8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -13 - x**2 + 15 + 4*x + 4*x - 11. Let v be u(5). What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/2 + 5 + 0. Let z(a) = 1. Let u(w) = -w + 1. Give p*z(l) + 5*u(l).\nAnswer: -5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(13) - sqrt(91)\/(sqrt(7)*-3)).\nAnswer: 1 + 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8458254 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 31*a - 2. Let o(y) = 31*y - 2. What is 3*j(u) - 4*o(u)?\nAnswer: -31*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8825?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 0 + 9 = 0. Suppose -3*z - 10 = -n, -3 - 37 = -4*n - p*z. Solve -u + h + 0*h = -1, 2*h = 5*u + n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 24. Let x(p) = -p**2 - p. Let c(z) = z**2 + 4*z. Let k(m) = -c(m) - 4*x(m). Give h(k(w)).\nAnswer: 9*w**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18.5 + -18. Let l = 0.2 + 0.2. Let g = -11.4 + 10.4. Which is the nearest to g?  (a) m  (b) l  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 2. Let v(c) = -5 + 0 + 11*c**2 - k*c**2 + 5*c + c**2. Let s(x) = 3*x**2 + 3*x - 2. Let g(q) = -5*s(q) + 3*v(q). Differentiate g(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4458*z**5 - 1273*z - 51*z + 4459*z**5 + 14*z**3 wrt z.\nAnswer: 20*z**3 + 84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 104 and 138424.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 180 and 133576308?\nAnswer: 667881540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3  (b) -3.51  (c) 1  (d) -0.4  (e) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -25121519.5 + -2?\nAnswer: -25121521.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 290723?\nAnswer: 43, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 + 0 = 2*w - 3*q, w - 6980*q + 6981*q = -17 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2)*r\/(r*r**(-1\/8)\/r)*r**0\/((r**(-1\/5)\/r)\/r*r))**(-18\/13))**(-1\/8) assuming r is positive.\nAnswer: r**(9\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -200211286\nAnswer: -600633858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 + 33 + 0*j**2 - 16 - 2*j. Calculate the remainder when 33 is divided by z(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (-2 + -1 - -1)*-20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 13766185.8.\nAnswer: -13766185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 34615 or 761531\/22?\nAnswer: 761531\/22","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - h + 0*h - h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-6*1*sqrt(192) + 0 + (-2*(sqrt(147) - (sqrt(147) + -2)) - sqrt(147)) + (sqrt(147) + -1)*3)**2.\nAnswer: -1540*sqrt(3) + 36349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 161730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urc when three letters picked without replacement from {r: 2, u: 8, t: 4, c: 5}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116701 is divided by 478.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5*d - 34985*d**2 - 3*d**3 + 34990*d**2 + 1 - 3. Let o(i) = -3*i**3 + 6*i**2 - 6*i - 3. Give -5*o(b) + 6*u(b).\nAnswer: -3*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + y**2 + 4*y + 5. Determine q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(2057)*1*4 + sqrt(2057)*1 + -5 + (0 + sqrt(2057) + sqrt(2057) + 0 - sqrt(2057) - (sqrt(2057) - (-5 + -3*sqrt(2057)) - sqrt(2057))))**2*-1.\nAnswer: -1320*sqrt(17) + 37226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 79 and 70965937?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*p + 62 = 66*p - 40*p - 46 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 - 3*p - 3. Let m(t) = 4*t**2 - 7*t - 7. Let c(d) = -3*m(d) + 7*w(d). Let v(z) = 21*z + 17 + 3 - 20. Give c(v(u)).\nAnswer: 882*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 14) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2003.34875861 and 252.\nAnswer: 2255.34875861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00100711062 to seven decimal places.\nAnswer: 0.0010071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**4\/17 + 74*x**3\/17 + 130*x**2\/17 - 10922*x\/17 + 20700\/17 = 0. Calculate x.\nAnswer: -25, -23, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 103  (b) -1\/7  (c) 4  (d) -0.8  (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 2*r + 13, -2*i + 26 - 44 = 5*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*j = -38, -2*w + 58 = w + 4*j. What is the greatest common factor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from ggmmggmmmmgmggmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(34)*-1)\/sqrt(2) - sqrt(17)) + 2 + (sqrt(119)\/sqrt(7)*-2*6)**2.\nAnswer: -2*sqrt(17) + 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4323719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 8*c**2 - 11*c - 7. Suppose -6*p - 566 = -1970. Suppose -9*a = -6*a + p. Let w = 71 + a. Give k(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -659, -660, -661, -662, -663, -664?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -110a?\nAnswer: -110e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -17\/4  (b) 0.5  (c) 0.2  (d) -1\/2  (e) 0.0459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*g - 336 = -42*g. Calculate the greatest common divisor of 42 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in -0.1, 2\/11, -0.5, 9.3, -2\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g**2 - 16*g - 1. Let f(r) = -2*r**3 + 6*r**2 - 5. Let x be f(2). Let n be o(x). Calculate the highest common divisor of n and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t. Let f be 4938\/14 + (348\/42 - 8). Let v(y) = f - 700 + 347 + 76*y. Calculate v(z(o)).\nAnswer: 152*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -4  (b) -0.5  (c) 0.4  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + (4 - (-11 - (-12 + 5))) + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 12:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -33*s**2 + 0*s**3 + 0*s**4 + 0*s + 2\/5*s**5 + 0 + 3\/40*s**6. Find the third derivative of q(g) wrt g.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -62 - -59. Let w be (-4)\/16 - 5\/(z + -2). Factor 1\/2 + w*k + 1\/4*k**2.\nAnswer: (k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10101100000110100000001 (base 2) to base 12.\nAnswer: -1a7b681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 1:41 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 11:02 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 1\/74877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 10 = 7*h - 5*h, 6 = -3*n. Let f = -17\/5 - h. Which is the third smallest value?  (a) 0.2  (b) 0.04  (c) -1\/4  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1089 - 11*f**2 - 66*f**3 - 51*f**2 + 1089 wrt f.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) + -1 + sqrt(1872))*2 + -3)**2 - ((1 + sqrt(1872))*2 + sqrt(1872) + 1 + -3 + sqrt(1872)).\nAnswer: -528*sqrt(13) + 29977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20478146, -20478139, -20478132, -20478125?\nAnswer: -20478118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/21148 and 29\/3732?\nAnswer: 63444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 71698 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 20*q**2 - 41*q - 74. Let n(y) = 7*y**2 - 14*y - 26. Determine -17*n(m) + 6*z(m).\nAnswer: m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*m + 2*w + 12, 0 = -2*m + w + 5. Suppose m*b - 14 = 20. Suppose g + 3*y - 9 = -2*y, -3*g - 5*y + b = 0. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from saisggskgsgkkgkk. What is prob of picking 2 k and 1 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 9:07 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4830, -4885, -4976, -5103, -5266, -5465?\n\"Answer: -18*g**2 - g - 4811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -143896*i**2 - i + 415119 with respect to i.\nAnswer: -287792*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2\/3 + 376*g\/3.\nAnswer: -4*g*(g - 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (203\/((-204015)\/(-1608)))\/(4*2\/6).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-1)\/b)\/(b\/b**(-6)*b)*b**(-2\/7)\/((b\/((b*b*b**(-3)\/b*b)\/b*b))\/b))\/((b**(-1))**(-3)*b**(-4\/7)*b**(-4\/5)\/b) assuming b is positive.\nAnswer: b**(-417\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 262 - 257. Let z be ((12\/k)\/(-2))\/((-91)\/(-455)). Let c(g) be the first derivative of g**2 + 7*g - 1. Determine c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000197 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 466203\/259 + -1800. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide (2 - 1) + (277 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + 0*a + 0*a)*(-32 + 84 - 1070 - 83 - 922).\nAnswer: 2023*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of c**5\/20 - 17*c**4\/12 + 32*c**3\/3 - 4*c**2 + 1783*c + 2. Give t(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b**4 - 89*b**2 - 41373*b - 216188651.\nAnswer: -4*b**3 - 178*b - 41373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -17890000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.08 to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -18730, 3, -11 in descending order.\nAnswer: 3, 2, -2, -11, -18730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196 = -4*w + 8*w. Let z = -31 + w. What is the greatest common divisor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 28*c**3*w + 125*c**3 + 19*c*w**3 + c*w - 118 wrt w?\nAnswer: 28*c**3 + 57*c*w**2 + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 2, 3, -2 in decreasing order.\nAnswer: 3, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*g**4 - 2*g**4 + 0*g**4 + (0 + g**2 + 0)*(251 - 6*g**2 - 251) + 3*g**2 - 3*g**4 - 3*g**2 to j*g**3 + b*g + x*g**4 + u*g**2 + i and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/9)\/(1\/6). Suppose -r*x + 5*y - 25 = 0, -2*y = 3*x + 2*y - 20. Solve b + x = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.83 - -0.769. Round r to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 - 2\/(-2) - -3. Suppose 3*c + 2*k - 18 = 5*k, 4*k - 3 = c. Suppose -5*p = 1 + c. Sort 0, p, f in ascending order.\nAnswer: p, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = f - 180. What is the highest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 22\/6 + (-1)\/(-3). Let f(n) = 30*n**2 - 62*n + 1. Let u be f(2). Put u, -2, g in descending order.\nAnswer: g, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 694, 2831, 6420, 11461?\n\"Answer: 726*g**2 - 41*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 16 = -5*a. Let u(h) = 88*h**a - h - 5 - 51*h**2 - 38*h**2. What is u(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 147422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 4*r - r. Suppose -3*j = -2*b - 2, -2*j + 3*j = -b + 9. What is the derivative of b - 3 + 0*l**4 + l**r wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide (-16)\/((-128)\/(-24)) - -33*11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + -0.8. Let v = 4.6 + 0.4. Let j = -3858 - -3858.5. Which is the biggest value?  (a) v  (b) x  (c) -0.3  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1884, -1883, -1882?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 1:12 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -72, -128, -172, -198, -200, -172, -108, -2?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, 2, -1.8, -5.\nAnswer: -5, -1.8, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*t - 30*t - 16 + 2*t**2 - 34*t + 16*t - 6 to the form b + c*t + g*t**2 and give c.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from ddhzhthhtfkz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3)*(21\/(-2) - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 131\/5 - 23. Determine h, given that -8\/5 - 2\/5*h**3 - y*h - 2*h**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y - 7. Let k be a(3). Put k, -2\/7, 0.4, -2\/9 in descending order.\nAnswer: 0.4, -2\/9, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) 1\/4  (c) 0  (d) -32  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3082318327 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -368400 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(225)\/sqrt(5)*6)**2.\nAnswer: 108*sqrt(5) + 1629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/7089096 and 53\/1071.\nAnswer: 361543896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**4\/2 + 10*o**3 + 23*o**2\/2 - 21*o = 0. Calculate o.\nAnswer: -2, 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -5*x**3 + 228*x**2 + 90*x + 94. Let y be r(46). Calculate the highest common factor of y and 117.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 91*m + 42*m - 532. Sort -5, 2, m, -647.\nAnswer: -647, -5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 578819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1432*n = 1600*n - 3024 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75180?\nAnswer: 2, 3, 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11474*v**2 + 98*v**2 - 474*v**2.\nAnswer: 11098*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -33 in 0.1, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**3 + 28*b**2 - 45*b - 36. Let r be m(12). Solve r = h + 590 - 583 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b + 316. Calculate p(35).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7459?\nAnswer: 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 7*u - 11. Let d(q) = -q**2 + 4*q - 6. Suppose -13 = -5*m + 7. Let y be (1 + -3)*14\/4. What is m*h(i) + y*d(i)?\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-4 + -5*(sqrt(720) - (-2 + 2*sqrt(720) + sqrt(720) + sqrt(720)))*2))**2 + 1.\nAnswer: -17280*sqrt(5) + 648577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4*f**3 + 57*f**2 - 15*f - 4. What is the remainder when u(-14) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8, -30, -66, -122, -204?\n\"Answer: -b**3 - b**2 - 12*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llulllblbllhlhll. What is prob of sequence ll?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 16389 (base 15) to base 13\nAnswer: 2681a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -692 in 2.1, 0.2, 1\/4, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/6 - (-102)\/18. Suppose p*o - 581 = -6. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 21*(2\/(-7))\/(25\/150). Let h be 235*(5\/3)\/(2\/v). What is h rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292284271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 + -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of j**3\/6 - 3*j**2 - 6*j. Give m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o - 101 - 10*o**2 + 101)*(95*o - 63*o - 176*o - 12).\nAnswer: 1440*o**3 + 408*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -295235518, -1180942079, -2657119682, -4723768327, -7380888014?\nAnswer: -10628478743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -16693*p + 9734*p - 14773*p + 8949*p - 18251*p in the form w*p + j and give w.\nAnswer: -31034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -10*i + 5*i. Suppose i*j - 4*j = 3*r + 8, r - 1 = -5*j. Solve 0 = t + j + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -4*v - 13. Suppose -i = -0*i + 2*i + 33. Let w(r) = 2*r + 7. What is i*w(z) - 6*o(z)?\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) -8\/7  (c) 0.5  (d) -1\/4  (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10341 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**2 + 17109*h**5 - 8554*h**5 + 147*h**6 + 209 - 8549*h**5 - 3*h - 9 wrt h?\nAnswer: 17640*h**3 + 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*n**4*z - n**3*z - 192*n**2*z - 515*n*z wrt n?\nAnswer: -24*n**2*z - 6*n*z - 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 84*w**2 - 802*w + 137. Calculate i(73).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (728\/30)\/(116440\/72775)?\nAnswer: 91\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1152 divided by -12829?\nAnswer: 1152\/12829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5\/6)*z**(-3))\/(z**0\/z*z)**(-16) assuming z is positive.\nAnswer: z**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 531*h**2 + 1418*h + 15764400.\nAnswer: (h - 450)*(h - 232)*(h + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 220160399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -36*0.08\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 158019 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 1 - (-17 + 18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/52 + ((-916)\/(-78))\/(6504\/2439)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuhupuummurruuupru. What is prob of sequence mrmp?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from {v: 6, j: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3516320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 72, 1270 - 2700 + 1308 = -11*s + 2*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aggwgagwgggwvaaaaw. Give prob of picking 1 w and 2 a.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -m + 9. Suppose m*q - 16 = -q. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 159*80.\nAnswer: 12720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 944350*m. Let j(u) = -12*u. Give v(j(z)).\nAnswer: -11332200*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/4 and (-538)\/(-90) - (-6)\/27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bksskssbsssbbbbks. Give prob of sequence sbsk.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -188 + 633. What are the prime factors of k\/35 - 2\/(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 125 = -5*f + 100, -16*f + y - 80 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1910293 times -0.2\nAnswer: -382058.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4025.119 years?\nAnswer: 48301.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 2:59 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11137465.\nAnswer: 5, 17, 283, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, d: 1, y: 2, c: 4, g: 1}. Give prob of sequence ygcy.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b (base 15) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 103\/3. Suppose -68 = 2*y + 12. Let x be 34\/8 - y\/(-10). Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97339 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -3  (b) 1  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*g + 15 = d, -g = 0. Let y be (0 - (-34)\/4)\/(d\/(-10)). Put 1, -2, 4, y in ascending order.\nAnswer: y, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 16*p - 4. Give a(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -9140846  (b) -2\/5  (c) 39  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3225860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**2 - 21*b - 14. Let o(t) = t**2 + 10*t + 7. Let h(p) = -2*i(p) - 5*o(p). Let a be h(-7). Suppose a = -6*y + 9*y - 1341. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15 + 7. Let k = p + 11. Let s = k - 3.3. What is the biggest value in -4, -3\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1743, 0.1, 3\/2, 3, 0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*o**4 + 3*o**4 + 0*o**4 + (o**3 + o**3 - 4*o**3)*(2*o - 3*o + 3*o) + 4*o**2 - 4*o**2 - 2*o**4 + o**4 + o**4 - o**4 + 51*o**4 - 92*o**4 + 44*o**4.\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 9*x**5\/5 + 2*x**3\/3 - 7. Find the third derivative of p(z) wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -380943 smaller than -380943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 + -7 + 5 + -5 - -15) + 8 + -2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -463*n**2 - 98*n + 98*n.\nAnswer: -463*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 1)*(3*u - 5*u + u)*(10*u**4 - 791*u + 791*u + (-u**4 + 2*u**4 - 2*u**4)*(-4 + 6 + 2) + (4 + 2*u**4 - 4)*(-2 + 5 - 4)).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*-3)\/2 - (0 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**3 + z**3 + 3*z**3)*(-2*z**2 - 3*z + 3*z) + 8*z**5 + 23267 + 343*z - 11634 - 11631.\nAnswer: 12*z**5 + 343*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -74170 at most -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (2 - (-344)\/48)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/13, -1\/2, -0.3, 0.2, -1\/96, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**13*f*f*f*f**4\/f*f**(-5)*f**(-17) assuming f is positive.\nAnswer: f**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.7 - -1.7. What is the third smallest value in o, -2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(147) - (sqrt(147)*1 - sqrt(147))) + sqrt(147))\/sqrt(3))\/(sqrt(7) - (sqrt(567) - sqrt(567)*1)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 33*x - 51 + 30)*(-5*x**4 + 2*x**4 + x**4).\nAnswer: 66*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 50392091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 4*w + 5. Let n be g(3). Let x(i) = -2*i + 8*i**n - 3*i + 208*i**3 + 4*i + 3*i. Let v be x(-8). Round v to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/4 of a hour in seconds?\nAnswer: 47700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/182*(-17)\/51?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-3) + (-30)\/45. Let j be ((-3)\/t + -2)*3 - 0. What is the smallest value in -4, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/10 less than 0.45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 125, 263, 419, 599, 809, 1055, 1343, 1679?\n\"Answer: s**3 + 3*s**2 + 122*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14, 41, 68, 89, 98, 89, 56, -7?\n\"Answer: -q**3 + 6*q**2 + 16*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 3)*(52 - 83*m - 27 - 24).\nAnswer: 415*m - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1511309275, 1511309277, 1511309279, 1511309281?\n\"Answer: 2*a + 1511309273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u = 26 + 742. Calculate the smallest common multiple of u and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -422*i**2 + 83*i**2 + 0*i**3 + 1852*i - 1852*i - 7*i**3 to the form q + l*i**3 + f*i + s*i**2 and give s.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373096711?\nAnswer: 13, 19, 139, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5557094 + 3699*z**3 - 5557094 + 2*z to g + a*z**3 + n*z + f*z**2 and give a.\nAnswer: 3699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 6 + 21 = 0. Let d = -3 - 0. Let t = 0.05 + 0.45. What is the nearest to 0.1 in t, b, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -16 + 1808?\nAnswer: 17e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) + -1*sqrt(84)*1 + sqrt(84))\/((-2*sqrt(77))\/sqrt(11)))\/((3*sqrt(576))\/sqrt(9)*1).\nAnswer: -sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49744 divided by -12436.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i - 2*o + 4 = 0, 4*i + 581 = -2*o + 577 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s + 4. Let w(v) = v**3 + 6*v**2 + 4*v - 3. Does 13 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3274, -3263, -3252, -3241, -3230, -3219?\nAnswer: -3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of 5*m**9\/168 - 13*m**5\/60 - m**2. What is the third derivative of x(p) wrt p?\nAnswer: 1800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.861 and -0.914586.\nAnswer: -3.775586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 4. Let r(b) = b + 2. Let h be r(a). Suppose 0 = -h*q + 15 + 5. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 p, and 2 w when four letters picked without replacement from {p: 2, w: 2, y: 2, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 27 = 8*r - 12*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 599013687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -212 + -3140?\nAnswer: -3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/4, -2\/3, -5 in ascending order.\nAnswer: -5, -3\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2*a. Let j(f) = 31*f**2 - 22*f - 2. Calculate l(j(t)).\nAnswer: -62*t**2 + 44*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -116511 + 16195096\/139. Let m = 59363\/556 + p. Let r = m + -107. Is r >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68e (base 15) to base 6.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2178949645607 - 263.\nAnswer: 2178949645344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r + 19. Suppose -5*l - 2*m - 40 = 0, 5*l - 4*m = -13 + 3. Let z be g(l). What is the first derivative of z + t**4 + t**4 + 0 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(3\/60*-3). Let i = 820 - 770. What is the greatest common factor of q and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16874 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 44 = 4*k - 5*u, -4*k - u + 18 = 0. Solve i - s + 7 = 0, -k*i = -4*i - 5*s + 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/11)*j**(-1\/5)*j assuming j is positive.\nAnswer: j**(34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 6:07 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*w + 20*w + 36 = 0. Let c be (-63)\/w - (-1)\/(-2). Suppose -4*v = c*g - 5*g - 25, -4*v - 20 = 0. What is the remainder when 42 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 60*l + 65. Does 44 divide f(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of 427*m**9\/36 + m**5\/12 + 4*m**4 - 4408*m**2. Find the third derivative of o(j) wrt j.\nAnswer: 717360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -568 + 2389. Suppose 0 = 2*r - f - 973. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2 + 4*r - 13. Is q(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32437 + -29742. What is the remainder when b is divided by 194?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p - 84. Let d be b(-21). Let l = 1611\/52 + -31. Is d greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 + -64. Let m(f) = -4*f - 12. Let p be m(-7). Calculate the least common multiple of l and (15\/2)\/(12\/p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 96 - 48. Suppose -d = 3*d - x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9.129 and -20.\nAnswer: -10.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 61 = -24*x. Let r be 3*x*4\/36. Is r equal to -6\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2013, -2021, -2043, -2085, -2153, -2253, -2391?\nAnswer: -2573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2714132 (base 8) to base 4.\nAnswer: -2321201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -2, -6.8, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - -0.09. Let j = f - 5.09. Let z = -0.1 - -0.1. Put j, z, 2\/3 in ascending order.\nAnswer: j, z, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (105 + -37 - 41) + -34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/5, -17, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1531406 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 10 = -3*f + 34 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -77*o + 546. Let c be w(7). Let r(f) = f**2 - 6*f + 14. What is r(c)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 21*o**2 + 292*o + 3697. Calculate g(-14).\nAnswer: 3725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 23099 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -14 and 6813251.\nAnswer: 6813237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*70\/(-15) + (-9 - -9). Solve -10 = j - 2*t, g = 5*j + 3*t - 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from gpgprlgglpr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 374 = w. Let l = w - 43. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**3 - 3*n**2 + 3*n - 3. What is the remainder when w(2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1163, -2322, -3481, -4640?\n\"Answer: -1159*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 3*g - 23 = -0*g, -3*g - 19 = 2*s. Does 17 divide 0\/6 - (-327 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1497*k + 1215 = -1254*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-35)\/(-28) - (406\/24 - 88\/33)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 95*o**2 - 743815*o - 274050.\nAnswer: 5*(o - 7830)*(19*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/5 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-1) + 0\/(-1). Suppose 0*f - 5*f - 50 = -5*h, h - 3*f - 20 = 0. Sort h, p, 0 in increasing order.\nAnswer: p, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 - 10*z**2 - 14*z + 26. What is a(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 191.9 + -192. What is the smallest value in s, -2\/25, -4\/25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/28 + 51\/140. Let z = -5 - -4.6. Which is the nearest to -0.1?  (a) v  (b) -2\/45  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11114523421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58 = -31*j + 2*j. Let x be 52\/14 - (-16)\/56. Suppose -2*y + 10 = -0*h + 2*h, 5*h - x*y = 52. Solve -2*o - h = j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2570*j**2*k**2*x - j**2*x + 2*j*k*x - 1236*k**2*x - x wrt j.\nAnswer: 5140*k**2*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**0)\/w)\/w)\/((w*w**(1\/5)*w*w)\/w)*w**(-3\/7)*(w\/(w*w**(-11)*w*w))\/w assuming w is positive.\nAnswer: w**(153\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -x**3\/2 - 2*x**2 + x + 4. Let p(v) be the first derivative of j(v). Let g be p(-4). Is g at most 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 390143 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 13*t**2 + 23. Calculate the remainder when h(12) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -v - 106*v**2 + 816*v**2 - 664*v**2 - 2073*v**3 wrt v?\nAnswer: -12438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of a**6\/16 - 51*a**5\/20 - 15*a**4\/32 + 85*a**3\/4 + 3*a**2\/4 - 51*a - 2334. Suppose k(g) = 0. Calculate g.\nAnswer: -2, -1, 1, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-22)*3*6*18\/1863\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s - 521. Let h(q) = -3*q - 1568. Let m(k) = 3*h(k) - 8*o(k). Let x(u) = u. What is x(m(v))?\nAnswer: -v - 536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the first derivative of k**6\/21 - 6*k**5\/5 + 99*k**4\/14 - 90*k**3\/7 - 1787. Factor f(x).\nAnswer: 2*x**2*(x - 15)*(x - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(4\/5)\/f**(-4)*(f\/f**(-18)*f)\/f*(f\/f**(-16))\/f assuming f is positive.\nAnswer: f**(199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7090\/3 - -2160. Let v = g - -205. Which is the nearest to 0.1?  (a) -2  (b) -3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 764373183 to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 6, w: 4}. Give prob of sequence pw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 27098.17 centimeters in nanometers?\nAnswer: 270981700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/9, 4, 1\/8, -135, 12?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-393)\/(-262)*(2\/(-6))\/((-16)\/24). Let i = -12.4 - -12. Let l be (6\/(-8))\/((-5)\/(-20)). Which is the smallest value?  (a) l  (b) 2\/55  (c) i  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + -1)\/((-2)\/(-8)). Let i = 36 - 34. Sort t, -3, i in descending order.\nAnswer: i, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 946539.\nAnswer: 3, 11, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 398162569 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 124 + -43. What is the remainder when x is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than 45953147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 162 - 413. Let r = 1021 + z. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80961 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/69068 and -83\/820.\nAnswer: 14158940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 164*k*o**5 + 923066*k*o**4 - 33438*k*o**2 + k*o - 47*o**2 + 6*o wrt o.\nAnswer: 9840*k*o**2 + 22153584*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 2*k**3\/3 + 6*k**2 + k + 42. Calculate the smallest common multiple of p(25) and 40.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 649 - 4545\/7. Which is the nearest to 0?  (a) 3  (b) j  (c) 1  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 4*o - 6 = 0, 2*i + o = i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + 4408 - 65\/13. Suppose -s = -2*j + p, 4*j - 3*p = 3*j + 2191. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -509 - 1144 = -29*g. What is the greatest common factor of 133 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, v: 8, g: 2, w: 7, c: 1}. What is prob of sequence wwcw?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k = 234 + 550. Let m = 175 + -175. Suppose m = -20*v + 24*v - k. Calculate the remainder when 153 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 24582 + 11478?\nAnswer: 36171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 0.2, -1\/7, 13.\nAnswer: -1\/7, 0.2, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(78\/(-4)) + 5162\/754 + -23?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21709, 43383, 65013, 86593, 108117, 129579, 150973?\nAnswer: 172293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 662081 or 662101?\nAnswer: 662081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22588764 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*h + 79*h + 4*s = 0, 2*h + 2*s = 10. Calculate the greatest common factor of 530 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/10 - (-6)\/(-10). Let u = s + 3. Suppose -u*x - 3*x = -25. Solve -20 = -x*f + 5*q, 0*q = f - 5*q - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2422914 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-23)\/(-3 - (1 + -3)). Let u = 49 + -31. Suppose -j - l = -u. Which is smaller: -4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 442.777*-0.122.\nAnswer: -54.018794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 38200072 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 520*q - 1. Let h(x) = 409365*x**2. Calculate u(h(a)).\nAnswer: 212869800*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 33508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/953 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2747 to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2283\/5 + 457. Which is the nearest to v?  (a) 37  (b) -3  (c) 3  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -153684\nAnswer: -1844208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 101 and 49535753?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 9766564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3397, -3636, -3915, -4234?\nAnswer: -4593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -12*p**2 - 19*p + 16. Let z(d) = 41*d**2 + 58*d - 50. What is 7*m(f) + 2*z(f)?\nAnswer: -2*f**2 - 17*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 0*y - 198. Let k = 33 - y. Calculate the highest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 79 and 1264?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4*c + 120 = 5*c, 2*c = 2*y - 72. Let z(x) = y*x - 3 + 25*x - 47*x. Let v(i) = -i. Determine z(v(m)).\nAnswer: -17*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42166128*-4.\nAnswer: -168664512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, m: 3, l: 1, j: 2}. What is prob of sequence mu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + 12*d**2 - 10*d - 6. Let j be y(11). Suppose 23*l = 2*h + 27*l - 18, 17 = 5*h - 4*l. Solve j*c - 35 = -h*k, 2*c - k - 1 = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1908794 is divided by 919?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -4\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 1000011100?\nAnswer: -1000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {g: 2, y: 8, s: 5}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(704))*-3)**2 - (sqrt(704)*1 + 3)**2 - (sqrt(704) - -5*(1 + sqrt(704)) - (-4 + sqrt(704) + -1)**2).\nAnswer: -176*sqrt(11) + 6347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 81 + -81. Solve 8*o - 3*o + 2*h - 14 = j, o = -2*h + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4190173 take away 0.3?\nAnswer: 4190172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 47023916 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - ((-2)\/(-5))\/((-12)\/(-120))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.98 - 0.02. Let g be 6*4\/240*4. Which is the second smallest value?  (a) o  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7321268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -3251*u**3 + 14*u**2 + 2*u + 1. What are the prime factors of h(-1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h**2 - 3*h**2 - 4*h**2 + h**2 - 2*h + 2*h + (3*h + 2*h - 3*h)*(-2*h + 0*h + 0*h) - 30*h**2 + 3628 - 3628.\nAnswer: -37*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.8 + -0.4. Let u = -2 - f. Let z = -0.3 + 0.2. Sort z, u, 0.4 in decreasing order.\nAnswer: 0.4, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**4 - 5*l**3 + l**2 + 5*l = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 42\/15 + (-3 - (-33)\/15) - -1. Solve -3 = 15*j - 18*j - f*b, 0 = 4*j + 2*b - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -89.091 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-95*h**2 - 8*h**3 + 95*h**2)*(-65 - 143 + 103) to the form m*h**2 + r + a*h + b*h**3 and give b.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 222 - 222.0427. What is d rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p + 3. Let j be z(-4). Suppose 3*w + 4*a = 22, 2*w + 6*a - 15 = 3*a. Suppose 0 = 3*h - 9 + w. Solve -5*i + 14 = -l, -3*l - j = h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/(-21))\/(27\/21). Let f = -197\/291 + 1\/97. Let o be 2\/4*6\/9. Which is the nearest to f?  (a) d  (b) -3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 0, -4*l - 3*i + 331 + 1545 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 2*r - 3. Suppose 10*b + 46 = -13*b. Calculate g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-6554)\/290)\/((-1)\/5) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1150 and 5566?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 161642558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5 - -3)\/(-1 - 0). Let y be o\/2 + -2 + -1. Is 410\/35 - 2\/y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 - -6.88. Let b = 15 - 9. Let u = b - d. Sort u, 1, 0.4 in increasing order.\nAnswer: u, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1751, -1729, -1707, -1685?\n\"Answer: 22*u - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3.407831+-52\nAnswer: -48.592169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**7)**(1\/14)\/((g**23\/g*g)\/(g*g\/(g*g**(-3\/8))*g*g*g)) assuming g is positive.\nAnswer: g**(-1067\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -312141965*w**2 + 17*w - 4330705 wrt w.\nAnswer: -624283930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*g**2 - 120*g**2 - 3*g + 3*g.\nAnswer: -87*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1200))**2 + (sqrt(48)*-4 + sqrt(48) + 2)**2.\nAnswer: -88*sqrt(3) + 1637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((-1*sqrt(1200) - sqrt(12))*-2)\/(sqrt(16)\/sqrt(4)*4*-6)*3*6)**2.\nAnswer: -9801\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 (base 7) in base 16?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/15 + 84\/35. Suppose a + 3 = n, j*n - a + 3*a - 22 = 0. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**3 + 37*f**2 + 8*f - 170. Determine s(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.2, -4816578, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.23 * 434.\nAnswer: -1401.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6750 + 6777. Let w(k) = -9*k - 2. Calculate the remainder when t is divided by w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 c, and 1 z when three letters picked without replacement from wmzwemycmceec?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2 + 20 = 0. Let u = -11 + m. Suppose -2*t + 15 = -u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 693792 and 90?\nAnswer: 3468960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2 + 2*r - 1. Let s(j) be the first derivative of 2*j**3 - 2*j**2 + 2*j + 2. Determine 4*s(g) + 9*v(g).\nAnswer: -3*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 6 - 18 = 0. Suppose 3*k = 3 + 3. Does 3 divide k\/r - (-17)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/844824 and -37\/211206?\nAnswer: 844824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 2:25 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, e: 5}. What is prob of picking 4 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/10*(17 + -107).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-0.377.\nAnswer: -1.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19745 - 110725 = -41*k + 502536. List the prime factors of k.\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 28*l - 38. Is n(11) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -532*f**2 + 12. Let j(i) = i. What is l(j(b))?\nAnswer: -532*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**2 + 35*n + 47. What is m(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -r**6\/6 - r**5\/20 + 21*r**4\/4 + 2*r - 49. What is the third derivative of v(g) wrt g?\nAnswer: -120*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8975943 to the power of 1\/2, to the nearest integer?\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6461, 3, -11, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 8511 = 3*u. Let x be 2038\/((-1)\/u*-1). Suppose -x = 3*q - 21081806. What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8895 + -6041. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 + y**2 - y. Suppose 4*u + 20 = -0*u. Let d be ((-6)\/15)\/(1\/u). Is 4 a factor of t(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3, 11, -0.1, -25?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 404091 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*t + 16 = 0. Suppose -34 + 59 = -5*u. Put u, t, 5 in decreasing order.\nAnswer: 5, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 10. Let j = -8 + u. Solve 5*h - 15 = -5*f, -j*h - 2*f = -h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.868 + 3.132. Let f be 6 + 0 + (-4 - -1). What is the nearest to -1\/3 in -4, f, -3\/4, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5117992596.\nAnswer: 2, 3, 17, 8362733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -26*n**4 - 11654*n**3 - 2662*n**2 + 11654*n + 2688 = 0?\nAnswer: -448, -1, -3\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 1. Let n(x) = 6 - 2*x**2 - 5*x**3 + 0*x**2 + x**2 + 2*x - 4*x. Let d(i) = -6*b(i) + n(i). Let d(u) = 0. What is u?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 2*i + 16 + 2, -i + 5 = 0. Let d be 5\/((-35)\/28) - b\/1. Solve 1 - 21 = d*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = w + 4*p - 16, -4*w = 3*p - 19. Suppose -4*s = -0*s, 0 = 5*b - w*s - 15. Suppose -b*n + n = c - 21, n = -3*c + 3. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10059486 and 6416.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26817647 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1452*o = 1440*o + 1320. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2868, 11061, 24710, 43815, 68376, 98393, 133866?\n\"Answer: 2728*t**2 + 9*t + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(75)*-1*6)*-1.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*x**2 + 54*x - 133*x + 35*x + (2*x + 1 - 1)*(0 + 0 + 2*x) + x**2 - x**2 - 2*x**2 + 21*x - 7*x**2 - 21*x as a*x + p*x**2 + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 7*b + 8. Let x(k) = -36*k - 40. Let f(g) = 16*a(g) + 3*x(g). List the prime factors of f(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 3*i + 2. What is f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**6 + 76*x**3 + 17*x**2 - 5*x - 5. Let m(q) = q**6 + q**3 + q + 1. Let s(f) = h(f) + 5*m(f). What is the third derivative of s(w) wrt w?\nAnswer: 240*w**3 + 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h + 8*h + 438038 = 4*y, -438058 = -3*h + y. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -50755, -50837, -50957, -51133, -51383, -51725, -52177, -52757?\n\"Answer: -3*b**3 - b**2 - 58*b - 50693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.37 + -4027562\nAnswer: -4027561.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/13 - 74\/26. Let p be (-1)\/2*g\/(-3). What is the biggest value in p, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 7) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32086 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 556131 + -182968. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5523, -10992, -16477, -21984, -27519, -33088, -38697?\nAnswer: -44352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-192)\/(-133) - ((-5)\/7 + 1). Let i = q - 236\/171. Which is the closest to -0.4?  (a) -3  (b) i  (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -6, -4, 6, -101 in increasing order.\nAnswer: -101, -6, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -84 + 104. Let l be (-3)\/6*111*p\/(-6). Suppose -a + 61 = -i, 3*a + 0*i = 4*i + l. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -27*o**2 - 4263*o + 454. Give w(-158).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*1*sqrt(1216))**2 - sqrt(1216))*-1 + 0 + -4 + (2*sqrt(1216) - sqrt(1216))**2.\nAnswer: -18244 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14) - -1*sqrt(1400))\/(-1*sqrt(2)*1) - (sqrt(35)\/(sqrt(5)*-2)*1 + sqrt(28)\/((sqrt(4) - -5*sqrt(4)*-1) + sqrt(4))))**2.\nAnswer: 26047\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32604 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*c = 12*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 563613955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/36 and 38\/1026*(23 - 0)*(-6)\/(-3).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12644 - -12645. Let w be 28\/49*(-7)\/(-159). Is a less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c + 4*c + 105 = 0. Suppose -b + c = -4. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119392024 to the power of 1\/2, to the nearest integer?\nAnswer: 10927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.2, 0.2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 1.1, -5, 120?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 14 = 6*a. Solve -5*x + 18 = -2*g, -a*x + g + 22 = -3*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 16. Let u = -86 - -121. Calculate the remainder when u is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m**3 + 4*m**3 - 3*m**3)*(8 + 9 + 2).\nAnswer: 19*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24\/(-32)*-1 + (-12562)\/(-8).\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 - 10*g**2 + g - 3. Let h(j) = -j**3 + 10*j**2 + 3. Let s(r) = 5*h(r) + 6*m(r). Let f be s(8). Round f to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 30*t + 727. Give a(-25).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -103 (base 11) in base 5?\nAnswer: -444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 3558376.407 to the nearest one hundred.\nAnswer: 3558400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 + -26. Let u(b) be the third derivative of -1\/8*b**4 + f*b**3 - b**2 + 0 + 0*b - 1\/20*b**5. What is the second derivative of u(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -4*d + 2140. Let n(s) = -s + 713. Calculate 7*n(a) - 2*q(a).\nAnswer: a + 711","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4 - -1) + -3 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19826*w**2 + 18337*w**2 - 10469*w**2 + 18380*w**2.\nAnswer: 46074*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*m**3 - 646*m + 1966 with respect to m.\nAnswer: 6*m**2 - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*r - 1085*h + 8668, 5*r - 3273*h - 17 = -3277*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 86160?\nAnswer: 86160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -g + 6*g + 2*q, 5*q = -5*g - 10. Suppose -g*v = 15, -8*z + 3*z = -2*v - 20. Suppose 0 = -z*m - 2 + 4. Solve 4*l = 5*l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 319, 329, 315, 259, 143?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -61.286 times 216\nAnswer: -13237.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/6 + 5*v**3\/6 - 3*v**2. Let o be z(-5). Solve 5 = q - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 1. Suppose -6*o = -3*o + 3*p, x*o - 5*p - 18 = 0. Suppose 3*s - n = -o*n + 39600001, 0 = -3*n + 3. What is s rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3, 83 = 3*w + w - 3*l. Let b = -24 + w. Let f be 75\/30*(1 - b\/(-5)). Solve -2*v = z - f - 0, 4*z = -v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 718781479.\nAnswer: 13, 5197, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, -5, 0, -3, 734?\nAnswer: 734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 664270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 37484 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 142505, 3, -1, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -82 + 1679?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 4*a - 8, -3*a - 1 = -i - 2. Let w = 51 - 11. What is the common denominator of -81\/26 and (30\/w)\/(a\/6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - f + 2*p - 14 = 0, p + 15 = -3*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*l - 103 = -1090 + 299 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 433 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/4)\/(((-3)\/(-2))\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*a**2 - 42*a + 173*a - 91*a - 40*a.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/6*1*(-1506)\/2510?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*3*(sqrt(24)\/(sqrt(1200)*1) + 4))**2.\nAnswer: 576*sqrt(2)\/5 + 57672\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17\/3 or 1947556?\nAnswer: 1947556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 4*l**2 + 2*l + 4. Let d be n(3). Suppose -3*w - d = -u, 3*u = -2*w + w + 3. Let h be (12\/4)\/3*1. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 463.6 and 36.945.\nAnswer: 500.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 20.57749 decades?\nAnswer: 205.7749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4999.\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 11*d**2 - 14*d + 1. Let i be n(4). What is the greatest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.75177693 - -0.7515. Round z to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from jabjbqbjbjj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**4 + 8*k**3 + 16*k**2 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -1199*p**5\/4 - 9*p**3\/2 - 155*p**2\/2 - 15*p - 82. What is the second derivative of g(m) wrt m?\nAnswer: -35970*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -66\/2920211?\nAnswer: -66\/2920211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.2  (b) -2  (c) -2.6  (d) 2  (e) -2\/9  (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 9*u + 6. Let m be a(5). Let y be (-57)\/(-8) + 8\/m. What is the derivative of y - 42*r - 24 + 23*r wrt r?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32131110?\nAnswer: 2, 3, 5, 11, 97367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + -3 - (-36 + -3). Suppose -f = -1, v - 5*f - y = -0*v. Calculate the greatest common factor of 129 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58000 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(2\/9)\/g)**(-1\/28)*(g*g**3\/g)**33 assuming g is positive.\nAnswer: g**(3565\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -g**8\/4200 + g**7\/1050 - g**5\/150 + g**4\/60 - 42*g**3 + g + 70. Let d(t) be the second derivative of h(t). Factor d(k).\nAnswer: -2*(k - 1)**3*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2. Let s(f) = -8 + 3 - 1. Let o(d) = d**2 + 6*d - 10. Let j be o(-8). Let p(a) = -a + 13. Let z(q) = j*p(q) + 13*s(q). Determine h(z(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 272.5 + -273. What is the closest to 0.1 in 0.08, 5, d?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 13a9 + 43823?\nAnswer: 44bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 468 - 472bb?\nAnswer: -46c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -9 + 11 + (-4)\/6. Which is greater: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 53.13788 minutes?\nAnswer: 3188272.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2220021112 (base 3) to base 13.\nAnswer: -1cc88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -14. What is the closest to -2\/11 in 1\/4, f, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 11*c**3 + 2735*c**2\/2 - 3*c + 60. Differentiate p(l) with respect to l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -8. Find the first derivative of 0 + 7 - 2*k**2 - 4*k**u wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 704 + -704. Let p(s) = s**2 + 2*s - 2. What is p(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23200030133 (base 4) to base 11\nAnswer: 177a613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -41169955 divided by -15053\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 990 = y. What is the common denominator of 4\/((-16)\/y)*-1 and -36\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -293 + 295. Suppose 0 = -5*w - 3*l + 15, 2*w - 6 = -n*l - 0. Suppose 25\/8*m**w - 1\/2 - 5\/8*m**2 - 2*m = 0. What is m?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 544050374 to the nearest integer?\nAnswer: 23325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -153*s**2 - 172*s**2 + 147*s**2 - 204*s**2 - 1 - 294*s**2 in the form c*s**2 + k*s + y and give c.\nAnswer: -676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**2 - x + 14. Let b be s(-6). Let y = b - 46. Solve 4*m = -6 - y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 5 + 1)*(-19*c + 11*c + 5*c)*(3 + 2 + 0) in the form b*c + m and give b.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**5 + 6*j**4 + 432*j.\nAnswer: 20*j**3 + 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4*m**3 - 6*m**2 - 37*m + 2. Let a(q) = 15*q**3 + 22*q**2 + 148*q - 9. Calculate -3*a(j) - 11*s(j).\nAnswer: -j**3 - 37*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 648 minutes before 8:55 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6648, -13295, -19942?\n\"Answer: -6647*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -426, -156, 118, 396?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 2\/51, -2\/23, -902.\nAnswer: -902, -2\/23, 2\/51, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 17*k**2 - 2437*k + 63. Let g(d) = 4*d**2 - 609*d + 15. What is -13*g(v) + 3*t(v)?\nAnswer: -v**2 + 606*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 65 - 49 = 5*g, -5*z + 4 = -4*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3*c = 4*c + 8, -4*c = 4*a + 16. Let o be -8*(-9)\/12 + a + -1. Suppose -o*l + 2*p - 177 + 24 = 0, -4*p - 12 = 0. Which is bigger: l or -54?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s. Suppose -5 + 1 = -2*q. Let v(w) = -w**3 - 8*w**2 + w + 8. Let l be v(-8). Suppose 2*d - q*f + 0*f + 16 = 0, l = 2*d - f + 14. Calculate i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/5)\/r*r)**(16\/9)\/((r*r*r**(11\/5)*r)\/(r\/r**(-19))) assuming r is positive.\nAnswer: r**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -8*u**2 + 0 - 1\/390*u**5 - 19\/13*u**3 + 29\/78*u**4 - 2*u. Factor n(l).\nAnswer: -2*(l - 57)*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-248))\/(831\/(-1108)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3*c**2 + 13*c - 3. Does 17 divide j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 393.60674024 - 2.60650324. Let f = s + -391. Round f to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02*523.\nAnswer: -10.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 - -4. Let o = 6\/19 - 16\/171. Let i = 202 + -403\/2. Sort z, o, i in increasing order.\nAnswer: o, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1695.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -8, -7, -6?\n\"Answer: z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*c - 29 - 5 + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.090959 > -1.335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -166 - 18?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/5*6*(90\/12)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (200\/(-32))\/5*(-1)\/(-5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from efffbfbbbbfbbf. What is prob of picking 1 e and 2 f?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -78 + 79. Is -14 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -55*a**3 - 3*a**2 + 3*a + 2. Let c be u(2). Let v be 39\/(-2) - (-4)\/(-8). What are the prime factors of v\/50 + c\/(-10)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjq when three letters picked without replacement from {j: 4, v: 1, c: 1, q: 3, g: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c*c**(2\/47))*c*c**12 assuming c is positive.\nAnswer: c**(609\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - a + 5*g + 3, -23 = -2*a + 5*g. Solve 4*q + 13 + 3 = i, 4*i - 4 = a*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.6017907503 - -10?\nAnswer: 14.6017907503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o - 1. Let k(j) = -12*j - 5. Suppose -32*i = -39*i + 14. Determine i*k(b) - 9*t(b).\nAnswer: 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1094, 7735, 18796, 34271, 54154?\nAnswer: 78439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 + p + 29. Let k be f(-7). Let q = k + 27. Is q < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -0.53  (c) -1\/2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 3*k - 6. Let y be -8 + (-3)\/(-9)*9. Let b be x(y). Find the second derivative of 10*j**b - 28*j**4 - 14*j + 2 - 2 wrt j.\nAnswer: -216*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) 34  (c) -1  (d) 20\/7  (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 20 = m, 2*u - 3*m - 456 = 0. Is 2\/(-9) - (-39130)\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 10:42 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37?  (a) -2  (b) -5  (c) 0  (d) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 3*k = -525. Suppose -223*t + 220*t = 6. What are the prime factors of (k + 4 + t)\/(3\/(-3))?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 11385759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/17 less than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1334, 2677, 4016, 5351, 6682?\nAnswer: 8009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 0.3, 1\/8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 + 3 = -2*h. What is the smallest common multiple of 14 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1020 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4131655 + -4?\nAnswer: -4131660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 3*a**4\/4 - a**2 + 8*a. Differentiate x(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from rairiaaaaratairtiaa?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 3*q**5\/7 - 33*q**4\/7 - 171*q**3\/7 - 135*q**2\/7 = 0.\nAnswer: -3, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + ((-3)\/(-3) - -1). Let f(l) = l**2 + 2*l + 10. Let m be f(-4). Let o = m + -13. Solve 4*p - 12 = -o*b + b, 2*b = -5*p + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*n + j, 2*n = -2*n - 4*j + 20. Suppose -1 - 4 = n*z, -4*h = -2*z - 958. Let a = h - 3343\/14. Is 0 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) + 3*sqrt(85))*-1 + sqrt(85))\/((sqrt(10)*-3)\/sqrt(2)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35559835731 - 0.143.\nAnswer: 35559835730.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -42*f**2 - 79180*f + 1905182.\nAnswer: -2*(f + 1909)*(21*f - 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4309738 greater than or equal to 4309737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in 4, 6.5, -0.5?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18704 - -224453\/12. Let c(d) be the second derivative of 18*d + 5\/6*d**3 + 0 - 5*d**2 + n*d**4. Factor c(y).\nAnswer: 5*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28*1*1557\/207081?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 115*r - 33*r - 17*r - 45*r in the form x + f*r and give f.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -133, -2\/73, -5, 5, 4 in increasing order.\nAnswer: -133, -5, -2\/73, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 248 = 3*u. Suppose 0 = 2*m + 4*t - 124, 2*m = m - 5*t + u. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 1 - (-36 + 36)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 50507 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2918*f = -2885*f + 66 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 41 - 13 = 0. Suppose 0 = 3*y, 0*z + z + 4*y = n. Solve -2*x = 2*i, -z = 4*x - 4*i - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 + -4. Let z = v - -13. Solve -4*s = -s + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2557.862 + -0.1.\nAnswer: 2557.762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/5)\/(i**(-5)*i*i*i))**(36\/5)*(i**4*i*i**(1\/3))**(-3\/4) assuming i is positive.\nAnswer: i**(224\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 9:39 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 4*q - 7. Let b be y(6). Suppose -4*p = -b*p + 187. List the prime factors of p.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5350832 is divided by 9538?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**2\/2 - 14. Let j(z) = z**2 + 4*z - 4. Let k(q) = q - 1. Let n(f) = -5*j(f) + 20*k(f). Calculate n(i(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 8 = 0, 3*r - 483*s = -482*s - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.1 + -1.9. What is the smallest value in 0.03, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*h + 19 = -2, 0 = -4*a - 2*h + 28. Let f be 16\/(-56)*(0 - a\/12). Suppose -f + 1\/6*v**2 + 0*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 20 in -1, 1\/8, 5\/4, -0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-21)\/(-210) - (-51)\/(-10). What is the closest to -0.1 in 3, -23, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 7*h + 11. Suppose 42 - 10 = 4*w. Let x be a(w). Let l(d) = -d**3 + 3*d**2 + 3*d. Calculate the remainder when 16 is divided by l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 38*y - 13662 = 41*y, -3*x - 3*y = -13638. List the prime factors of x.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 14*c. Let i(g) = -187*g**2 + 2. Calculate i(r(z)).\nAnswer: -36652*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g - 4691 + 13*g + g.\nAnswer: 18*g - 4691","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + -2 + 1 - -6. Let b(s) = s**3 - 5*s**2 - 4*s - 9. Let f be b(u). Suppose 2*g + f*g = 20. Solve g*o + 16 = 0, -3*p - 4*o - 31 = -0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 1. Let o = 456.4999 - 457. Let u = n - o. Round u to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2215*z**2 - 949*z**2 + 9113*z**2 to the form u*z**2 + j*z + d and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*p + 33481 + 20951 = 0. Let r be ((-1)\/(-2))\/(1\/(-3954)). Let z = p + r. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -777?  (a) -3  (b) 0.4  (c) 1047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -286381, -286475, -286573, -286675, -286781, -286891?\nAnswer: -287005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3358 and 100740?\nAnswer: 100740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/7  (b) -3  (c) -6  (d) -0.4  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 359*s - 13956 - 1779 - 2071 + 933 = 0 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -6  (b) -3\/2  (c) 1647  (d) -5  (e) 0.4  (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = j + 2*f - 11, 5*j + 4*f + 67 = 0. Let k be (3 + -4)\/(1 + j). Which is the nearest to -1?  (a) k  (b) -2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/10 and -41\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*t + 6*t - 36 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**11*t**(-29)*t assuming t is positive.\nAnswer: t**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.02 - -1.02. Let z = x - 1.4. Let b = 2 - 1.8. Put b, -3\/2, z in descending order.\nAnswer: b, z, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4779 + 54*a + 58*a + 14114 - 161*a + 50*a to t + d*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, d: 3, o: 1, m: 2}. Give prob of sequence fd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 1 + 5)*(-3 - 2 + 4) - 5 + 0 + 3 - 3 + 4 + 0)*(-d**5 + 0*d**5 - 2*d**5)*(0 - 11 - 1).\nAnswer: -72*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -0.091?\nAnswer: 0.0273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -32 + 5 + (-5 - -13)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j - 1. Let r(d) = -2*d**3 - 2*d**2 + 3*d + 5. Let t = 129 - 124. Let g = -3 + 5. Suppose -l = l - g. Give l*r(q) + t*x(q).\nAnswer: -2*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15523, 32131, 48739, 65347?\nAnswer: 81955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 AM and 4:55 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 873056 and 4.\nAnswer: 873056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of 0*j + 1\/6*j**3 - 1\/120*j**6 + 1\/30*j**5 + 1\/8*j**4 + 0 + 7*j**2. Calculate w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17690 and 580.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 12:05 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**8\/20160 - n**6\/72 + n**5\/20 + 9*n**2. Let z(r) be the third derivative of i(r). What is the derivative of z(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**4 - 9*a**4 - 2*a**2 + 78*a**3 - 80*a**3 to the form i*a**2 + x + d*a + y*a**4 + g*a**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 4*c**2 - 41*c + 27. Give l(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qbhhmhmhbcmdhhm. What is prob of picking 1 q and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 176*z**2 + 3*z + 7. Let g be l(-1). Suppose g = 3*y + 2*m - 284, y = -5*m + 172. What is the remainder when y is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(2448) + (sqrt(2448)*-1 + -1)**2) + 5*(0 + sqrt(612))*4.\nAnswer: 228*sqrt(17) + 7347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17939077, -35878146, -53817209, -71756266?\nAnswer: -89695317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/1143?  (a) 3  (b) 0  (c) -3  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.07375 millilitres?\nAnswer: 0.00407375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 5 - -2) + -6 + -11 + 21\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 196403, 392790, 589165, 785528, 981879, 1178218?\nAnswer: 1374545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 s, and 1 y when three letters picked without replacement from {y: 1, s: 3, z: 2, q: 10, n: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 1718 = -k, 0 = -72*t + 68*t + 4*k + 2328. Calculate the least common multiple of 15 and t.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -5 + 0 - (2316 - 2318) - 42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3223*k + 3261*k + 5373*k + 9685*k.\nAnswer: 21542*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*m - 265 = 183 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*k - 3 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*1)\/(sqrt(396)*1 + sqrt(396)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o - 9*o - 3*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-10 + (-19)\/(-2) + 1)*103\/5 and -31\/1675.\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, -4, 2, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -170042.66 - 7.22.\nAnswer: -170049.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -a - 1151, 4*h - 4*a - 908 = -0*h. Suppose 4*v + 2632 + 79 = 5*n, -2*v = -n + 547. Suppose n = 5*i - h. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1568)\/(-40) + (-1)\/5. Let b = 10 + w. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17994 + 1853396\/103. Is -1 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 255746?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6125868 and 432.\nAnswer: 24503472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (737 - -7) + 2\/(-4)*-2. Let x = n - 661. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z + 17. Let n be m(6). Suppose -n*j + j = 8. Is 5 a factor of j\/(0 + -2)*(56 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.062 * 5\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -0.7, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of d**5\/20 + d**4\/8 - d**3 + 15*d**2. Suppose a(y) = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**4 + 0*o**4 + 0*o**4)*(-20 + o - 15 + 33).\nAnswer: 2*o**5 - 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**2 + 560*g + 45257. What is o(-462)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 20570 divided by 17\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2.94*-21865\nAnswer: 64283.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 2 + -1 + (-5 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 26 = 3*d + d, -5*d + 26 = -3*v. Let y = 20 - 10. What is the smallest common multiple of (-7 + d)*2\/(-6) and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkoyqlm. Give prob of sequence koy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*a + 28*a - 42. Let i be (1 + 4)*a\/6. Solve -10 = 3*l + i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mbccmvt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 4*n + 30 = 0. Let m be (-1 - 1) + (n - -1). Let i be (-2)\/4 - (-91)\/2. Calculate the highest common divisor of m and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of -75*b + 0 - 1\/18*b**4 - 8\/9*b**3 - 5*b**2. Factor k(v).\nAnswer: -2*(v + 3)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1290, 3629, 7018, 11457, 16946, 23485, 31074?\n\"Answer: 525*b**2 + 764*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60 - -113. Let w be 20\/(-3)*336\/(-20). Suppose w + z = 3*h. Is 32 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.9565 - 0.0435. Let o = -10.82 + -0.18. Let z = 7 + o. Which is the closest to 0?  (a) k  (b) 2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -472*r. Let c(b) = -27916*b**2. Give n(c(o)).\nAnswer: 13176352*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**38*i\/((i\/(i**(-40)\/i))\/i*i))\/(i**17\/i**23))**(41\/4) assuming i is positive.\nAnswer: i**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103120 - 3300203?\nAnswer: -3131023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/7)\/(y*y**1\/y*y)*(y**(1\/2)*y)\/y**1)\/((y**(2\/3)*y**(-4\/7)\/y)\/((y\/(y\/(y\/y**(2\/17))))\/y**(-4))) assuming y is positive.\nAnswer: y**(2857\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198*a - 168*a - 2388 = 162. Solve a*l - 97*l = 72 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 - -2.93. Let q be 286\/988*19*(-2)\/(-11). Which is the nearest to q?  (a) -1\/3  (b) w  (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = c - 2, 5*c + i + 3 = -2*i. Suppose 0*x - x + 4 = c. Suppose -x*k = -8*k + 168. What is the greatest common factor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 40.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -39436 - -276050\/7. Which is the smallest value?  (a) 3\/4  (b) -5  (c) j  (d) -118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021830639 rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 + 80\/8)*32\/6. Suppose -5*s = -2*n + 211, 6 = -2*s + r. What is the remainder when n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -2) + ((-44 - -24) + 17 - -18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3707.2?  (a) 7  (b) -4  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by -227650.\nAnswer: -13\/227650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 506 - 509. Let z be ((-12)\/(-10))\/p*(-5 - 0). Solve 3*m - 3 = 0, 6*m - z*m = 4*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8244 + 601848\/73. Let x = b + -5833\/11680. Find the common denominator of 5\/64 and x.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3510, -3526, -3556, -3606, -3682, -3790?\nAnswer: -3936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 45721, 45678, 45611, 45508, 45357?\n\"Answer: -2*m**3 - 29*m + 45752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sggsggms. What is prob of sequence sgg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 136331 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -501777, -1003556, -1505335?\n\"Answer: -501779*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-105)\/(-225)*5)\/(1*(-4)\/8).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 6*(2*sqrt(2) + sqrt(2) + sqrt(2))*-1)**2*3 + 5.\nAnswer: 720*sqrt(2) + 3536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25357350 is divided by 666.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/6 and -149\/924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 44 + 268 = 0. Let y = -87 - t. Let k = 137 - y. What is the remainder when k is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**2 - 2904. Let f(j) = 1. What is 6*f(t) - x(t)?\nAnswer: -t**2 + 2910","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -558615 + 558617. Factor -2*x + 1\/2*x**i + 0.\nAnswer: x*(x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 4*k**3 + 23*k**2 - 131*k - 761. Calculate n(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*c - 860, 5*y = 4*c + 268 - 1347. Let p = 221 + y. Sort p, -4, 12 in decreasing order.\nAnswer: 12, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5717 (base 14) to base 15.\nAnswer: -4728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*z - 210 + 104 + 106.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -431*h - 23 + 2 + 26*h**2 + 429*h + 9*h**3 - 8*h**3 - 28. Calculate b(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -166*t + 160*t - 30 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 325 and 2525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -2\/3, 4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v + 8 = 88. Suppose -5*z - 109 = -4*h, -58 = -3*h - 6*z + v*z. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -65*a**3 - 35*a**2 - 35*a + 2. Let d(l) = -22*l**3 - 12*l**2 - 13*l + 1. Determine -11*d(u) + 4*p(u).\nAnswer: -18*u**3 - 8*u**2 + 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 719321878?\nAnswer: 2, 11, 3011, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from icijicjiciipic. What is prob of sequence jiji?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2070180 less than or equal to -2070249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 574747 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 384*k - 467 + 35 = 336*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 5*o - 0*o + 4*y, 0 = 4*o - 2*y. Solve 0*u = o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13174 - 10372. What is the lowest common multiple of 11 and l?\nAnswer: 30822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10219 + -10200. Suppose -7*s - 1 = -8*s. Calculate the highest common factor of y and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 838114903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-18.903\nAnswer: -3.7806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35852474?\nAnswer: 2, 7, 2560891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 t when three letters picked without replacement from towtdowdktotwtdotwkd?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 + 1)*(2 - 0). Suppose u*a - 15 = 1. Suppose 0 = -3*z + a*m + 169, 0*z + m - 68 = -z. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence caii when four letters picked without replacement from {q: 1, c: 1, i: 4, a: 7}.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, x: 2, h: 2}. Give prob of sequence hah.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/(sqrt(36)\/sqrt(4)) + 0 + sqrt(475))*-6 - (sqrt(228)\/(sqrt(16)\/sqrt(4)))\/(-1*sqrt(9)\/sqrt(3)).\nAnswer: -35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-6\/7))**(-37))**(-10) assuming y is positive.\nAnswer: y**(-2220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 33720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 725 and 559990.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.88 to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -0.5  (c) -2\/25  (d) 397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.251 + -0.049. What is the closest to l in 1\/7, 0.4, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 802323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1847 - -1948. Calculate the greatest common divisor of o and 4949.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99888680 rounded to the nearest one hundred thousand?\nAnswer: 99900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-49)\/98*-134*(-2)\/10*5?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1610611 at least as big as 1610614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 - 14*w**2 - 52*w + 12. Determine x(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -2*j + 30. Calculate the common denominator of (-16 - 0)*(-1 - -2) and (-15 - j) + ((-53)\/(-11))\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 775\/207 + -81\/23. Which is the closest to 41.2?  (a) -0.3  (b) -1\/2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 259410079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 - -24. Suppose g*u = 3*u + 10. Suppose 0 = -u*j - 17 + 227. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3411.385 micrometers?\nAnswer: 3.411385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 69 = 3*v - 45, 0 = -2*v + 2*j + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -94 + 145. Let f = a - 50. Let n be f\/(-4)*21\/14. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) - sqrt(847))*4 + sqrt(28)\/sqrt(256))**2.\nAnswer: 712327\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 4954.3?\nAnswer: -990.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6967 less than 28?\nAnswer: 26.3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.62968 years in months?\nAnswer: 1135.55616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (-2 - (2 - (-5 + 9)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15619.85 rounded to the nearest one hundred?\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 392\/(-14)*(-10)\/8. Suppose 2*p - 135 = 5. Suppose 0 = m + m + i - p, m + 2*i = r. What is the highest common divisor of m and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2176125 (base 9) in base 12?\nAnswer: 486528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, f: 7}. Give prob of sequence uuu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -141, -286, -489, -750?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -2518, 0.39, 4?\nAnswer: -2518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -612528 - -1?\nAnswer: -612527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 + 53*y + 243. Let w be o(-4). What is the third smallest value in -2\/7, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15379897*p**5 - 8459073*p**2 wrt p.\nAnswer: -922793820*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 3 + 7 - (-4 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j + 52. Let w(g) = 3*g**2. What is v(w(f))?\nAnswer: 6*f**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 69 + -88. Let p = l - -110. Let i = p + -27. Is i a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 27 - (38 + -47) - (-3 - -3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*b + 251 = -428 - 61 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34)\/(-85)*1*1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26 + 16. Let o be -3 - (0 + 3 + j). Let w be (-65)\/25 - -2 - (4 + (-4)\/(-10)). What is the nearest to 4 in -3, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18595 or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {d: 2, p: 1, n: 3, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 77 + -110. Let s = 57 + f. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -481084 (base 9) in base 4?\nAnswer: -1012223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*d - 7. Let g be ((-4)\/6)\/2*d. What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -17978 > -17976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1746, 1749, 1754, 1761, 1770?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 8. Let y(r) = -f*r + 3*r + 5*r. Let g(o) = 0*o + 0*o - o. Give y(g(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 2*l + 3. Give w(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -927444.021 to the nearest 1000.\nAnswer: -927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 4*k - 3. Determine i(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 65450704 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 194\/513?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*k - k**4 + 2*k**3 - k + 7*k**3 - 10*k**3 to the form r*k + w*k**3 + v + l*k**4 + t*k**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + 2*((3*sqrt(80) - sqrt(80)) + 3)*-4)**2.\nAnswer: -21056 - 3072*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + 4*m. Let v = 5 - m. Calculate the least common multiple of 9 and v.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/5093648 and 33\/128.\nAnswer: 40749184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-3))\/(3290\/(-3948)).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14337509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2673133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 9*h - 26. Let o be b(-10). Let p be 2\/(4 + o\/10). Solve 5*r = -2*a - 0*r + 3, -p*a = 4*r - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -14\/23, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s*s**19))\/s**(-1\/19))\/(s*s**(2\/3))**36)**18 assuming s is positive.\nAnswer: s**(-27000\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -155270 divided by -31054?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 1\/8  (b) 3\/5  (c) -2\/25  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-39) - 54\/(-13). Suppose j*f - 83 = 9. Suppose 2*t - 95 - f = 0. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b58 - 1b68?\nAnswer: -29c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5145315 (base 6) to base 11.\nAnswer: 1599a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**5 + 12804*s**4 + 4605776*s**3.\nAnswer: 4*s**3*(s + 413)*(s + 2788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**5\/7 + 1842*f**4\/7 - 2088*f**3 + 43728*f**2\/7 - 58224*f\/7 + 29088\/7 = 0.\nAnswer: 2, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33 - 29. Suppose -3*v + 2*d = 6, v + 2*v + u*d = 12. Solve 0 = 2*b - v*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/4, -2\/5, -3, -0.1, 79\/4 in decreasing order.\nAnswer: 79\/4, 3\/4, -0.1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 3*h**3 + 10947*h**2 - 6325866*h - 19076040 = 0.\nAnswer: -4156, -3, 510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 3)*(-s**2 - 6255 + 6255 + 108*s) in the form d*s**2 + m + f*s and give f.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 739335653*w**2 + 791548106?\nAnswer: 1478671306*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20509572 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-2\/7)*m*m**(-2\/59) assuming m is positive.\nAnswer: m**(281\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6}. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1178476 is divided by 90645.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12\/55  (b) 3\/4  (c) 4  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5.4  (b) 0.1  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes after 3:53 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(612) - (1*sqrt(612) + 5)) + -1 + ((sqrt(119)*-1 + sqrt(119))\/sqrt(7) + 3)*-4)**2*-1.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence saib when four letters picked without replacement from {a: 3, b: 1, z: 6, s: 2, i: 4}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*l - 8 = z + 10*l, -4*l = 9*z - 52. Solve 4*s + 47 + 1 = -5*x, -8 = z*s for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, 2, -1, -0.05, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**3 - 3*d**2 + 3*d + 3. Suppose -3*y + 2*y + 3*o + 6 = 0, -4*y - 3*o + 9 = 0. Let q be u(y). Suppose 0 = 2*w - 1 - q. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 3*t + 5*s + 170, 3*t = 3*s - 108. Let a = -21 - t. Suppose 35 = a*j - 15*j. Are j and -36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*(u\/u**(3\/8))\/u)\/u)\/u)\/u**(-3))\/(u**(-9)\/u**(5\/2)) assuming u is positive.\nAnswer: u**(105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 294257\/180 - 8192\/5. What is the common denominator of u and 57\/772?\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -9*c**2 + 4363*c + 49170. Determine s(-11).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4*(sqrt(432) + (sqrt(432)*-2*-4 - sqrt(432) - sqrt(432))) + (sqrt(432) + (sqrt(432)*-1 + -5 - sqrt(432) - sqrt(432)))*1))**2.\nAnswer: -28080*sqrt(3) + 2628513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91928 + 306292 = 20*o. List the prime factors of o.\nAnswer: 3, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -12*m**2 + 3. Let x(h) = 414*h**2 + 486*h**2 - 920*h**2. Calculate x(v(s)).\nAnswer: -2880*s**4 + 1440*s**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 34966, 2\/11, 1\/2 in decreasing order.\nAnswer: 34966, 1\/2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**(-2)*d\/(d\/(d\/((d*d**2)\/d)))*(d**(1\/3))**(-1))**(-46) assuming d is positive.\nAnswer: d**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 5*u + 2*b, -5*b + 32 = 3*u - 0*u. Suppose 10*y - 4 = 9*y. Suppose 18 = l + y*t, 2*t - 6 = -0*t. What is the greatest common divisor of l and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 0.05627169.\nAnswer: 0.016881507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4042642823 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**8\/784 - s**6\/70 + s**5\/70 + 3*s**4\/56 - s**3\/7 + 7*s**2\/2 - 18*s. Let z(o) be the first derivative of n(o). Factor z(y).\nAnswer: 3*(y - 1)**3*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3 + sqrt(75) + 0 + -3*(sqrt(75) + 0) + 5 + 2 + -1)**2*4.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1192 + 1899. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = t - 8190. Suppose -4*o + 5*v - t = -9*o, -1637 = -3*o - 2*v. Suppose -4*h = h - o. Calculate the remainder when h is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 465385\/19 less than or equal to 24494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bgbgggbbbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {o: 1, j: 1, y: 1, p: 1, r: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 8 = 0, -o - 856 = g - 4234. Is g a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 15 - (-31 + 16) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 94 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10200001040 (base 5) in base 9?\nAnswer: -21754711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3 + 14*c**2 + 13*c.\nAnswer: c*(c + 1)*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1639*k**2*l**3 + 2*k**2*l**2 - 3*k**2 + 6*k*l**3 - 902*k*l**2 + 9*k*l - 2*k + 7*l**3 wrt l?\nAnswer: 9834*k**2 + 36*k + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = q + 4*q. Solve 0*b - b = q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17023103 (base 8) to base 11\nAnswer: 2252716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 472*a**3 + 270*a**2 - 234*a**3 - 270*a**2 + 241*a**3 - 6*a.\nAnswer: 479*a**3 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -528 greater than -529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.09  (b) -42\/23  (c) -0.2  (d) 3\/4  (e) 0.6  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -527 + 543. Let o be (((-195)\/30)\/(-13))\/((-1)\/d). Suppose -n - 3*c = 1 + 2, 2*n - 2*c - 10 = 0. Put n, 4, o in increasing order.\nAnswer: o, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 117*72\/312?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of 0 + 0*n**3 + 0*n**5 + 1\/12*n**4 + 1\/60*n**6 + 0*n - 2*n**2. What is the second derivative of d(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 662, 5338, 18046, 42806, 83638, 144562?\n\"Answer: 670*c**3 - 4*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 7, -0.4, 220, 2\/9, 2.\nAnswer: -0.4, 2\/9, 1, 2, 3, 7, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 474 = -256. Calculate the remainder when g is divided by -1*(17\/((-459)\/45))\/((-110)\/(-2838)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -268, -301, -372, -499, -700, -993, -1396?\nAnswer: -1927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1245 divided by -2\nAnswer: -1245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - 5*g**2 + 3*g - 5. Let i be d(-6). Let y = 22 - i. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9740 and 30860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -48, -65, -82?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -2*q**5\/3 - 4*q**4\/3 + 14*q**3\/3 + 40*q**2\/3 + 8*q = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30204)\/837)\/(-8 + (-1 - -5)) + 1 + -10.\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 188439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/3))**(-2\/7)\/(q\/q**6*q*(q**(-2)*q)\/q))**(-4\/5) assuming q is positive.\nAnswer: q**(-488\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7\/(-63) + (-793730)\/(-261)?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 19*n + 4095. Calculate the greatest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -112 + 180. Suppose -m*s = -69*s + 3. What is the second derivative of -s*k**4 + k - 7*k + 8*k**4 + 2*k wrt k?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38256070?\nAnswer: 2, 5, 787, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1199 and 545.\nAnswer: 5995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, -91 in ascending order.\nAnswer: -91, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 173, 582, 1229, 2120, 3261, 4658, 6317?\n\"Answer: a**3 + 113*a**2 + 63*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 331586 and 53087189.\nAnswer: 53418775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1637592912 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3395011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of 11*i**4\/12 + 5*i**3\/3 - 9*i**2\/2 - 7209*i. Let g = -8 - 1. Let h(x) = 5*x**2 + 5*x - 4. Determine g*h(r) + 4*v(r).\nAnswer: -r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 plus -141.5?\nAnswer: -138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 27 + 1)*(0*d**5 + 0*d**5 + d**5).\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 7. Determine d so that -12*d**2 + d**4 - 4 - 3*d**3 + 15*d**4 - 17*d**3 + c*d = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/6 and -56\/484891.\nAnswer: 2909346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.2, 2, -9.\nAnswer: -9, -0.2, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42 - -42. Let v(g) = 11*g**3 - g**2 - g + 1. Let s be v(1). Let p be (14\/s - 2)\/(-1). Which is the nearest to -0.2?  (a) -0.2  (b) i  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = 4*d + 78 - 106, -2*d - 4 = r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 7.5. Let x = c + -1.6. Let b = 921\/10 - 92. Sort -3, x, b in descending order.\nAnswer: b, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 274*o - 33*o + 3120 = 46*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 1 = l. Let r be (-3)\/(l\/(-8) + 3). What are the prime factors of 75\/6*(4 + r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 59667 + 59662 - 220*i - 119348 in the form j + m*i and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 6*x**2 - 21*x - 3. Let z(h) = -7*h**2 + 22*h + 2. What is -2*s(t) - 3*z(t)?\nAnswer: 9*t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*w + 32 = 19*w. Let s = 3 + 1. What is the highest common factor of w and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -76*o**3*y + 2*o**3 - o**2*y + o - y - 123 wrt o?\nAnswer: -456*o*y + 12*o - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of d**6\/14 - 24*d**5\/35 + 9*d**4\/4 - 2*d**3 - 30*d**2\/7 + 72*d\/7 + 50. Factor i(t).\nAnswer: 3*(t - 3)*(t - 2)**3*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 + 17*s**2. Let i be x(17). Solve i = 5*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34600430 by 3.\nAnswer: 34600430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 886, 850, -1010, -5606, -13850, -26654?\nAnswer: -44930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 2981 = 2996 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 6*n - 10. Let f be x(6). Let i = -23 + 48. Which is smaller: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, -2\/3, -5, -30, 8\/7, 3, 329?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.12 + 5.12. Let d = 0.7 + -1.7. Let c = -2 + d. What is the biggest value in c, y, 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**4 + 39*r**3 + 159*r**2 + 213*r + 90.\nAnswer: 3*(r + 1)**2*(r + 5)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258638 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 412, 416, 420, 424, 428?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (66 + 400710*t**2 - 2*t - 64 - 400731*t**2)*(t - 2*t**2 - t) to the form x*t + q + h*t**3 + c*t**2 + n*t**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 5*x + 105, -3*f - 2*x = f + 78. Let k = f - -20. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 2*s + 6 = 0, 2*s = -4*d + 2 + 4. Let i(x) be the third derivative of -x**5\/60 + x**4\/24 + 2*x**3 + 4*x**2. List the prime factors of i(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 8348 = -967 - 1119. List the prime factors of o.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 8 + 2*y + 0*y - 5. Suppose 2*x = 4*f + 54, 2*f - f = 5*x - 36. Let z(p) be the first derivative of 2*p**2 + 5*p - 4. Calculate f*i(w) + 6*z(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*g + 7*g = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7980 divided by -2?\nAnswer: 3990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 19, 30, 43, 58, 75, 94?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31944 divided by -7986.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -105 - 3*h - h + 6*h - 4*h + 36*h**2 wrt h?\nAnswer: 72*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, -1, 0.4, -7209\/4 in ascending order.\nAnswer: -7209\/4, -1, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b**2 - 34*b + 6. Does 59 divide j(44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -4*o + 25764 - o + 3*o - 25807. What is b(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2002 - 100?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(384)*-5)\/(4*sqrt(64)\/sqrt(2) - sqrt(32)).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -117 + 213. Let w = u - 96.1. Let k = 0.3 - 0.2. Which is the third smallest value?  (a) w  (b) 4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*q + 3*q - 4*q**2 - 7352941 - 32*q + 7352941 + 29*q.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267*0.07.\nAnswer: 18.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -2*u - 26, u = -5*v + 5*u + 28. Let q = -4 + v. Solve -12 = -3*j, 0*c + 2*j = q*c + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92*f**2 + 404*f**2 - 86*f**2 - 62*f**2 - 94*f**2 - 57*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -323*y. Let o(f) be the third derivative of 19*f**5\/60 + 3349*f**2. What is j(o(l))?\nAnswer: -6137*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1339, -2657, -3989, -5341, -6719, -8129, -9577, -11069?\nAnswer: -12611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/382 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1313 + -1010. What is the remainder when w is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 22 - 12. Suppose 1 = v - f*l + 3, 3 = -v + 3*l. Suppose 5*s + 5*s - 770 = v. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from ewwwswwwisiweewwei.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 305862, 611650, 917410, 1223142, 1528846?\n\"Answer: -14*y**2 + 305830*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 484057 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of n*o**3*u - 4*n*o**3 + 5*n*o**2 + n*u - 90*o**3*u - 5*o**2 + 8*u wrt o?\nAnswer: 6*n*u - 24*n - 540*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 2*r + 2*a - 19, 0 = 2*a + 6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 31 - 22. Suppose 8 = d*m - 5*m. Solve h - 2*r + 0*r = 1, m*r + 21 = -3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 9, -19, 28, -4, -5 in decreasing order.\nAnswer: 28, 9, 4, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4905 and 21416756?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -10996*d**2 + d - 12. Let n(k) = -21992*k**2 + 2*k - 27. Calculate 4*n(u) - 9*o(u).\nAnswer: 10996*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxbbbbbxbbbbbxxx. What is prob of picking 2 b?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19761, 19917, 20073, 20229, 20385, 20541?\nAnswer: 20697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -105, -346, -819, -1602, -2773?\nAnswer: -4410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 0*g**4 - 1\/3*g**3 + 0*g**2 + 1\/42*g**7 + g + 0*g**6 + 0 + 0*g**5. What is the second derivative of m(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7028.\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/220 - 21\/77?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**2 - z + z)*(0 - 2 + 1)*(-z - 9*z + z).\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 5*b + 9. What is the smallest common multiple of 28 and o(7)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18217 is divided by 4382.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2*g = 28, -5 - 23 = -4*f + g. Let z = -3 + f. Calculate the remainder when 14 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/10)\/(808\/3030).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -4) + -40 + 36.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = x + 3, -6 + 29 = 2*k + 3*x. Let a be 2\/(-6) + 14\/6. What is the third derivative of j**4 - 42*j**6 - j**k + 2*j**a + 49*j**6 wrt j?\nAnswer: 840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*u = -3. Suppose -u*d - 3 = -15. What is the third derivative of o**d + 12*o**2 - 2*o**4 - 10*o**2 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**2 + i**2 - i**2 + (i - 1 + 1)*(2*i - 2 + 2) + 12*i**2 + 8*i**2 - 9*i**2 + 85*i**2 - 2*i - 183 + 183 in the form r + q*i + b*i**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -12 - 3. Suppose -4*n + 0*n - 9 = 5*a, q*n - 3*a - 35 = 0. Solve 5*x - 15 = n*f, 2*x - 5*f - 24 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/5 - 66*v\/5 - 92.\nAnswer: -2*(v + 10)*(v + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (81\/15)\/1 + 36\/(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 3 = -3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25993769008 + 25993768859.99999829. Let s = -148 - l. Round s to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 95\/2*q + 15 - 35\/2*q**2.\nAnswer: -5*(q - 3)*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 5*w**2 - 6*w + 2. Let i be v(-6). Let m(c) = c + 10. Let b be m(-7). What is the first derivative of 2 + 3*f - b*f + i*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 + g**2 + g + 4. Let y be s(0). Let p = -91 - -94. Let i be ((-27)\/(-8) - 3)*4\/p. What is the third smallest value in i, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1629205.515 milliseconds?\nAnswer: 0.0026937921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 144 and 2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18\/48 + (-78)\/16*-3 is divided by 4\/6 - 32\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 7*i - 2. Let y be p(5). Let q be (y\/4)\/(-6)*22. Let k be (q\/(-44))\/(1\/4). Is 3\/10 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 11) to base 13\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 = -100*m + 124 + 550 + 168 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 286630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7.88 + -10.08. Let r = -18 - t. Which is the closest to -0.1?  (a) 5  (b) r  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 8.1. Let o = -27 + 27.034. Let f = o - -25.966. Does d = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of 5\/6*j**3 + 51\/4*j**4 - 94*j + 0 + 5*j**2. Find the second derivative of k(a) wrt a.\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1041*w - 30 = -1058*w - 5*d, -2*w = 3*d + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 37*d**3*t*v + 98*d**3*v**3 - 4*d**2*t*v**3 + d**2*v**2 + 13*d*t*v - 52*t*v**3 wrt d?\nAnswer: 222*t*v + 588*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19549920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6975150 and 50078?\nAnswer: 48826050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/980 - 1263\/84?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 2*f**2 - 41*f - 20. Let r be a(20). Calculate the least common multiple of 22 and (-50)\/r + 33\/12.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/393 and -61\/27.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.26 in 3, 411, 7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -9*q**7\/7 + q**3\/3 + 4. Find the third derivative of u(g) wrt g.\nAnswer: -1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64182*j**2 + 487*j + 27?\nAnswer: -128364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**2\/7 + 2938*l\/7 + 2936\/7 = 0.\nAnswer: -1468, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.220016 to three dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50 + 86. Let y = -11 + f. Suppose -6*v - 9 = -63. What is the remainder when y is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 - 659*h + 9430. Give j(14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/42)\/((-9)\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 42 - 36. Let z = 3 + 0. What is the third smallest value in z, 1\/8, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 7) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325)*-1 - (sqrt(13) + 6*sqrt(117)))*-6)**2 + (sqrt(1872) + 6*sqrt(1872))*4 + -1 + -4.\nAnswer: 336*sqrt(13) + 269563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2. Let w(y) = -7*y**2 - 2*y + 7. Let v(m) = 6*h(m) - w(m). Let p be v(-6). Let x = 56 - p. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(2 + sqrt(133)\/sqrt(112) + (2*sqrt(19) - sqrt(19))*6))**2.\nAnswer: 100*sqrt(19) + 11939\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*p**2 - 178 + 7 - 42819*p + 42820*p - 66.\nAnswer: -36*p**2 + p - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 2586?\nAnswer: 2586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -116, -119, -122, -125?\n\"Answer: -3*x - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 132 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 5557121, 1, 5 in descending order.\nAnswer: 5557121, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than -4781.02?\nAnswer: -4782.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 12:32 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3*v**4 + v**3 - v - 2*v**4 + 2*v**3 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2376 - -3250. What is the highest common factor of y and 532?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.91 + 6. Which is greater: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4025 (base 6) in base 3?\nAnswer: -1012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 19 - 11. Let d be k\/4 - (-5 + (-14)\/(-4)). Solve -2*r + 3*s = -17, -d*s = r + 2*s + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-167961)\/((-42)\/(-56)*-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5 + -3)*-7*1. Suppose -f = -c - c - k, 0 = 3*f + 3*c - 141. Suppose 2*g - 79 = -5*u, 5*g - 131 - f = 4*u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2319890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 14*j - 6. Let v be (-45)\/18*(-56)\/10. Give m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3e (base 16) in base 13?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 962*t + 422325. Determine g(-439).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + -10.01. Let l = -0.39 + y. What is the smallest value in l, 2\/11, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4306.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 1, l: 1, o: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 + 15 - 8*a - 31)*(-3 + 3 - 1)*(1 - 5 - 1).\nAnswer: -40*a + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -a**9\/126 - a**5\/30 + 3*a**2\/2 + a. Let t(u) be the first derivative of d(u). Find the third derivative of t(j) wrt j.\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -11590*j**2 - 53852*j\/11 + 208\/11 = 0.\nAnswer: -26\/61, 4\/1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f = -20723 + 15619. What is the greatest common divisor of 319 and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1251 (base 9) in base 7?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102938?\nAnswer: 2, 11, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6209635998?\nAnswer: 2, 3, 3671, 281923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2578 - -2579. Which is the biggest value?  (a) 0.2  (b) 11  (c) t  (d) 4\/3  (e) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -3*a + 6. Let d be p(4). What are the prime factors of (26\/d)\/(4\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6661 and -5.\nAnswer: 33305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1440 and 3510?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5947765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -t - t. Solve -t*f**3 + 14*f**4 - 10*f**2 + 18*f - 4 + 7*f**2 - 7*f**2 = 0 for f.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*(sqrt(38)\/(sqrt(8)\/sqrt(4) + sqrt(2) + sqrt(2)) - sqrt(38)\/sqrt(2)*2).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 3*s + 4. Let i = -85 + 87. Let a be f(i). Calculate the greatest common divisor of 3 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of 46*k + 0*k**3 + 4*k**4 + 5\/2*k**2 + 0. Find the first derivative of b(v) wrt v.\nAnswer: 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**3 - v**3 + 4*v**3 + (-2 + 2 - 2 + 1 + 1 + 0 + (4 + 1 - 3)*(-1 + 0 + 3) + 3 - 3 + 1 - 2 + 1 + 0 + 7 - 10 + 19)*(7*v**3 - 3*v**3 - 2*v**3).\nAnswer: 41*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7132518?\nAnswer: 2, 3, 71, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 4:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 9*m**2 + 2*m - 11. Let j be h(9). Suppose j = 4*s - 13. Suppose 11*r + s = 12*r. Solve 4*q - 5*c = -2*c + 5, q = -r*c - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -54 + 78. Let n be 11433\/206 - ((-1)\/(-2) - 1). Calculate the greatest common divisor of r and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -112) + -1717 + 1664\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000035 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + 2*sqrt(20))\/sqrt(4) + (-2 + sqrt(125))**2.\nAnswer: -17*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 380031815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -27643289, -27643299, -27643313, -27643331, -27643353, -27643379?\n\"Answer: -2*y**2 - 4*y - 27643283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*u = -10*u - 189. Suppose 24*i - 15 = u*i. Suppose -4*s + 1886 = i*f, -2*s + s + 463 = -3*f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2221 divided by -2.\nAnswer: -2221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -3*(-20)\/(-15) + 4326. Suppose 21*i = 13647 - s. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 + 0.3. Let b = -183 - -163. Let z = 16 + b. Does z = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + 44. Suppose 0 = 60*i - u*i - 3745. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 18 = -n, -9 = 5*b + 96*n - 100*n. Solve -27*r - b = 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of 13*o**5\/5 + 43*o**3 - 95. What is the third derivative of c(r) wrt r?\nAnswer: 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/((-168)\/18)*16\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 3:12 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1259.78 + -1260. Let k be (-2)\/3*5\/((-40)\/(-12)). What is the nearest to f in 2\/5, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 4*s + 158 = 0, -2*s = -0*j + 4*j - 204. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 272 - 1900\/7. Let n = 4.3 + -3.8. Sort -0.1, o, n in ascending order.\nAnswer: -0.1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.12 - 134.12. Let d = g + 144. Which is the third smallest value?  (a) 1\/8  (b) d  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2 - 16*r - 2. Let g(w) = w**2 + 8*w + 1. Determine -11*g(o) - 6*h(o).\nAnswer: o**2 + 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 154992122.\nAnswer: 2, 77496061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, -4\/7, -2, 0.17, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 21\/4, -6, -247, 1, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**2 - 6. Let b(m) be the third derivative of -1\/20*m**5 + 7\/6*m**3 + 0*m + 0*m**4 + 0 + 11*m**2. Give 6*b(d) + 7*q(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -3434\/1305?\nAnswer: -3434\/1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3406612 + -1?\nAnswer: -3406613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 6. Suppose x*n = -3, -3*n = w - n + 46. Let s = w - -79. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -7*d - 129. Let y be x(-26). Suppose 0 = -50*w + y*w - 426. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1181 divide 100358691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of v**3 + 9*v**2\/2 + 6*v - 1. Let g(x) = 97*x - 686. Let k be g(7). List the prime factors of l(k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3451, -8361, -13271?\n\"Answer: -4910*v + 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 7, a: 1, m: 6, n: 6}. What is prob of picking 2 m and 1 a?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q**2. Let s(u) be the third derivative of -u**5\/60 + 4*u**2. What is s(y(g))?\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 65*j**2 - 198*j**2 + 72*j**2 + 49*j**2. Let x(r) = r + 23. Determine d(x(m)).\nAnswer: -12*m**2 - 552*m - 6348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2645819 rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 282445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/549360 and 101\/262416.\nAnswer: 429050160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*k + 20*k - 8*k - 9*k + 27*k + 11.\nAnswer: 53*k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**5\/(a*a**(-19))*(a**(-3))**23 assuming a is positive.\nAnswer: a**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + q = -4*u - 156, 4*q + 5*u = 156. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -125779*s**2 + 2389804*s - 62. Calculate j(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xwrlllrgegrrrleewr. Give prob of sequence lee.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) -14  (c) 0.007128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -36534*c + 365338. Calculate p(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y**5\/5 - 93*y**4\/5 + 112*y**3\/5 - 36*y**2\/5 = 0. What is y?\nAnswer: 0, 2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 + -58. Let a be (b\/2)\/(-1)*(-1 - 1). Suppose -3*d + a + 7 = 0. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -34*d**2 + 2. Let r(l) be the first derivative of 2*l**3\/3 + 81. Determine a(r(k)).\nAnswer: -136*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 457 - 3*t**2 + 0*t**3 - 456 - t - t**3. What is the remainder when 7 is divided by n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -250?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 - 3*h + 127. What is b(-20)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 11, e: 2}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129, 355, 719, 1221?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of -45*p**3 + 90*p. Let r(m) = -2*m**2. What is r(g(u))?\nAnswer: -145800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n, 0*n = -r + 2*n + 3. Suppose a - 51 = -r*t - 4*a, -3*t - 4*a + 48 = 0. What is the remainder when t is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 3 + 2)*(-11 + 11 + 5*t)*(0 + 4 - 3) to the form b*t + y and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1036671.\nAnswer: 3, 31, 71, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-2\/9)*h*h**6)**(3\/11)\/((h**(1\/2))**(9\/2)*h**4*h**(-1\/3)) assuming h is positive.\nAnswer: h**(-167\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 22*g**2 + 20*g. Let y be l(-21). Calculate the remainder when 34 is divided by (-96)\/(-7) - (-2)\/y*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.237 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58*u**5 - 74698*u**4 + 41157*u**2 + 159 wrt u?\nAnswer: -3480*u**2 - 1792752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 18711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/12*18\/(-12)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 113320430.\nAnswer: 679922580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 28*o - 419. What is r(12)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*w**4 - 2211*w**3 - 57393*w**2 + 42771*w + 16854 = 0.\nAnswer: -53, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 5:18 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -24*h + 5 + 114*h - 5. Let p = 311 + -332. Let o(u) = -9*u. Give p*o(t) - 2*g(t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -7*b - 1. Let v = -11 - -16. Let j = v + -10. Let p(i) = -i - 4. Let o be p(j). Let q(d) = -d. Calculate o*w(h) - 5*q(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 25 + 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -194 - -326. Let b = z + -109. What is the remainder when b is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 76*g - 17. What is the tens digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 11*g**2 + 6*g - 4. Let o(v) = v + 2. Let p be o(6). What is the hundreds digit of j(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 47644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1  (c) 12803  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 100640 and 12240.\nAnswer: 905760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 199237 is divided by 65867?\nAnswer: 1636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 - 6*a**2 - 5*a - 31. Let n be l(-6). Put -4\/11, -1\/9, n in decreasing order.\nAnswer: -1\/9, -4\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.32 + -0.48. Let s = z - -1.8. What is the fourth biggest value in -4, s, 2, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o + 5. Let p(c) = 3*c + 4. Let s(k) = 2*n(k) - 3*p(k). Let j be s(-4). What is the units digit of (-4)\/(-7) + 1312\/56 + j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -15*a**2. Let s(y) = 77 + 5*y - 10 - 2*y - 73. What is x(s(g))?\nAnswer: -135*g**2 + 540*g - 540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 10:06 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-7))**(-30) assuming d is positive.\nAnswer: d**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -155 + 164. Which is smaller: 47\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281.02 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 0. Calculate the common denominator of a + -2*(-89)\/18 and 26\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(12\/(-28) - (-52)\/56). Let j(t) = 62*t**2 - 3*t + 1. List the prime factors of j(q).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*g - 30*g - 3. Put g, -0.4, 0, 28 in descending order.\nAnswer: 28, 0, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -7027*o**2 - 14. Let j(b) = 7027*b**2 + 12. Determine -7*j(w) - 6*r(w).\nAnswer: -7027*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + 4*o**2 + 7*o - 5. Let p be w(5). Let v(s) = 4*s - 1 + 0*s - p*s. What is the units digit of v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**1\/(t\/((t\/(t\/(t*t\/t**(3\/5))))\/t)*t))**(-6\/13)*(t**(1\/3)\/t)**(-17)*(t**1)**(3\/4) assuming t is positive.\nAnswer: t**(9641\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1414 - -4009. Let o be t\/105 + 1\/(14\/4). Solve -4*q + r + 20 = 0, -5*q - r = -4*r - o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 556224434 equal to 556224435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 6. Suppose -h = -f + 1. What is z in -2*z**2 + 9*z**4 + 0*z**2 + 7*z**5 + 3*z**3 + f*z**4 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 159*l - 25. Is b(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, r: 6}. Give prob of sequence aar.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 9*r + 11*r - 8*r)*(2*r**3 + 0*r**3 - 3*r**3) to h*r**2 + x*r**3 + a + o*r**4 + y*r and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000002943 rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -99\/7 and -15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*h = 34*h - 5, 2*f = 5*h + 418195. Round f to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + 4669100?\nAnswer: 4669102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (46*(-16)\/128)\/(3\/12)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {y: 4, n: 16}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p**3 - p**2 - 375 + 5*p**4 + 365 + 3*p**3 as b + z*p**2 + l*p**3 + a*p**4 + k*p and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 5 = -3*h + 5*w, h + 2*w - 10 = 0. Suppose -28 = -h*l - 4*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-104)\/4)\/52)\/((-20)\/(-2))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**5 + 5*d**5 - 4*d**5 + (-2*d**3 + d**3 - d**3)*(-17*d**2 + 0*d**2 + 6*d**2) - 2*d**5 + 4*d**5 - d**5 + d**5 - 6*d**5 - 12*d**5.\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 30609 divided by -9?\nAnswer: -3401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29502327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 5:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 699918259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - -1. Let i(j) = j**2 + j. Let s be i(-3). Let y = -4 + s. Which is the closest to y?  (a) -2\/5  (b) g  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7953 is divided by 153.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-6 - -3) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 73 = 4*n - 73, 0 = n + 2*o - 31. Suppose -3*m + n = -10. Let r = -22 + 49. Calculate the remainder when r is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 81724, 81747, 81784, 81835, 81900, 81979?\n\"Answer: 7*o**2 + 2*o + 81715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 3*q - 4*q = 0. Let w = -225881\/104 + 2172. Is q < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -8. Suppose -16*k = -118 - 122. Calculate the smallest common multiple of m and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 - (-10 - -11 - 21)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (85*z**2 - 85*z**2 + 8*z**3)*(-4 + 2 + 4)*(-2 + 0 + 4).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1162.98893 - -1163. Round v to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6482 + 22*p**2 + 5*p**3 + 6482 as a + x*p**3 + z*p**2 + n*p and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -7*g**3 - 13*g**2 + 5*g - 1. What is k(-4)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 318039401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1828.9183 rounded to the nearest ten?\nAnswer: -1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 797 is divided by 113.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 505.848 decades in millennia?\nAnswer: 5.05848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 3 = 0, -7*a + 3*a = -5*n + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*p = -3*p - 3*z + 24, -4*p + 3*z = 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.29800199 + 0.298. Round w to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14119574 is divided by 514?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1141707 or 14\/15?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + (-5 - 3 - 2). Let q be (225\/b)\/((-6)\/32). Let u(d) = 8*d - 160. Let o be u(23). Calculate the greatest common divisor of o and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - q + 40 = 0, -q - 4 + 9 = 0. Let j(f) = -f**2 - 6*f + 9. Let a be j(g). Factor -1\/4*r**a + 0 - 1\/4*r.\nAnswer: -r*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132836, -132861, -132902, -132959, -133032?\nAnswer: -133121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-112 - (7 + -12 + -2)) + (9 + -36 - -34)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(2\/(((-30)\/(-9))\/5))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 13 - 4. Let d be (3\/6)\/(f\/246). Suppose -d - 109 = -5*n. Calculate the greatest common factor of 30 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7721 - 7719. Suppose 0 - 12 = -4*m. What is the nearest to h in m, -3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 24 = -5*t + 91, 4*t = 2*d + 92. Let c = t - 20. Solve 12 = -r - c*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4477400 a multiple of 1220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 222441041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(3\/7)*i*i*i**(5\/6))\/(i*i**(2\/3)*i)**(-3\/46) assuming i is positive.\nAnswer: i**(3319\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -188, 16 in increasing order.\nAnswer: -188, -6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 786, 1574, 2348, 3102, 3830, 4526, 5184?\n\"Answer: -i**3 - i**2 + 798*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 160 and 88.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(1 + sqrt(1900)) - sqrt(1900)) + (sqrt(1900) - (sqrt(1900) + sqrt(1900) + -2)) + -4 + 4*(5 + -2*sqrt(1539)))**2 + 1.\nAnswer: -3584*sqrt(19) + 238593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3\/9 + (-1140)\/(-9) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5)*c)\/c**(-2\/13)*(c**(-1))**(-2\/19)*((c\/(c*((c**(-1)\/c)\/c*c)\/c)*c)\/c)**20*c**(-2\/7)\/c**6 assuming c is positive.\nAnswer: c**(86404\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53*a*f + 42*a*y**3 + a*y**2 + 161*a + 1394*f**2 - 35*f*y**3 + 21*y**3 + 5*y with respect to f.\nAnswer: -53*a + 2788*f - 35*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -17. Let b = -2118 + 2121. Solve -a*v = g + b*v, v = 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 2*z - 5. Give a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13.18 + -17.18. What is the closest to -0.05 in k, 37, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2163855004 divided by -4\nAnswer: 540963751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 89 - 61. Suppose -p = t + 9. What is the tens digit of -2 - (4 - 5) - p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -228?  (a) -3  (b) 3\/7  (c) 4  (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, 9, 4, -56, 1242, 3 in decreasing order.\nAnswer: 1242, 17, 9, 4, 3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 6.016  (b) 2  (c) -4\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -246754768 or -493509533\/2?\nAnswer: -493509533\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2670 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-2 - 1) + 2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 155*l. Let o(t) = 26*t. Calculate 35*o(n) - 6*r(n).\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123 is divided by 697\/34 + 3\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1079*q**2 - 357*q**2 - 373*q**2 - 346*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 506 divide 415388050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 7275406 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1292 - -1288. Let h = -26 - -28. Which is the biggest value?  (a) -134\/5  (b) h  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, d: 7}. Give prob of sequence dqqd.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 - -3)\/((-7)\/((-14)\/4)). Suppose 0 = -b + 3*w - w + 28, 5*b + 4*w - 126 = 0. Suppose -t + b = -u*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44\/42*7*(-3)\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 246075?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 14*h**3 - 8*h**2 - 8*h + 8. Let c be (14\/(-21))\/(2\/(-9)). Let x(p) = 5*p**3 - 3*p**2 - 3*p + 3. Give c*s(f) - 8*x(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dld when three letters picked without replacement from {m: 2, l: 1, t: 2, d: 1, w: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 20*t + 5. Let b be (124\/496)\/((-1)\/20). Let q(a) = -10*a - 3. Determine b*q(y) - 3*n(y).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/20 - 9073\/(-430).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**2 + 0*c**2 - 2*c**2 - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-4))**(-2\/59)\/(x*x*(x\/(x**16\/x*x))\/x*x*x**6))**(-3\/38) assuming x is positive.\nAnswer: x**(-1263\/2242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2810, -2783, -2748, -2705?\nAnswer: -2654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 36.69 and -0.147.\nAnswer: -5.39343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2518, 9629, 21482, 38077?\n\"Answer: 2371*i**2 - 2*i + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 45\/14, -1, -5, -1\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7\/(-21) - (-43)\/3. Let m(a) = k*a - 1 + 1 + 9. Is m(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-20) + 0)\/(79\/(-2765))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2193*p**5 - 289*p**4 - 4061354*p wrt p.\nAnswer: 43860*p**3 - 3468*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20 + -13 - 14 - -14. What is the greatest common factor of 49 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 436431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -4*g + 2*d + 32, -5*g - 5*d = 10. Suppose 7 + 77 = g*k. Suppose 5 = -u - 2*t, 4*t + k = u + 3. Calculate the highest common divisor of 40 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 493 + -475. Calculate the remainder when 845 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1201 - 1126. What is the highest common divisor of 480 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, k: 6, w: 2, d: 2}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c - 5. Let t(f) = 2*f - 672. Calculate t(l(h)).\nAnswer: 2*h - 682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 37 - 155. Let y = -129 - g. Is y less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -197, -1403, -2631, -3881, -5153, -6447, -7763?\nAnswer: -9101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16277 and 1191?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence trrt when four letters picked without replacement from rrtrrrrtrrrrr?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 31598771+4007\nAnswer: 31602778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3 and -9.923.\nAnswer: -6.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/273712 and -89\/444782.\nAnswer: 3558256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -500050 + 37?\nAnswer: -500011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 535*b - 12783. Determine k(24).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.06 - -0.46. Let t(h) be the second derivative of -h**5\/10 + h**4\/12 - h**2\/2 + 4*h. Let l be t(-1). What is the third biggest value in c, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*y + y - 2*y)*(5952 - 4214*y - 5952) + 3*y**2 - 4*y**2 + 4*y**2 + (3*y + 0*y - 5*y)*(2*y + 3 - 3) to b*y + t*y**2 + r and give t.\nAnswer: -8429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-1\/9))\/z*z**(2\/7)*(z\/((z**(2\/9)\/z)\/z))\/z*z**(-4)*(z\/z**(4\/9)*z*z*z\/z**4)\/(z**0)**(3\/31) assuming z is positive.\nAnswer: z**(-143\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - -3. Suppose 0 = -4*k - 2*o + o - 5, 0 = -3*k + q*o - 18. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**2 + 6 - f**3 + 0 + 8*f - 2*f. Let l be b(-4). Let p = 1 + l. Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22 - 6 + 2)*(-3 + 2 + 0)*(10*x - 2*x - 3*x)*(5 + 2 + 2).\nAnswer: 1170*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 6*l - 1. Let p be h(-6). Let w be 4 + 1\/(-1)*p. Let d(r) = 3*r - w*r + 0*r. Let i(q) = -2*q. Calculate i(d(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-21) + (-124)\/6. Let s = 38 + q. Let o(y) = -11*y - 1. What is the remainder when o(-3) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**7\/14 - o**6\/5 - 3*o**5\/4 + 5*o**4\/2 + 2*o**3 - 12*o**2 + 8*o. Solve d(h) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33\/2*l**2 + 3\/2*l**3 - 75\/2 + 105\/2*l = 0. What is l?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 806249?\nAnswer: -806244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 11. Differentiate -8*p**i + 3 + 1 + 7*p**2 with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -5*a**2 - 1. Let l be x(1). Sort -5, 3, l.\nAnswer: l, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*z = 5*c - 235*z - 45, 9*c = 4*c + z + 45 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 - 206*f\/5 + 528\/5.\nAnswer: 2*(f - 3)*(5*f - 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 546562 is divided by 546555.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147637 is divided by 252.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.19 - -0.79. Let x = d - -5.9. Is -5 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (24\/15)\/(4\/10). Let i be (-39)\/(-52) + 5\/m. Solve -8 = -2*d - 4*h + 2*h, 0 = -i*h + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -7*h**2 + 16*h - 2. Let q(p) = -p**3 + 8*p**2 + 22*p - 14. Let k be q(10). Let c(f) = 20*f**2 - 47*f + 5. Let a(z) = k*c(z) + 17*t(z). Give a(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-95)\/((-21280)\/(-384)))\/(2\/70*2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1407181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 2*s - 15, 1314 = 3*n + 5*s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 22 = 2*o - 5*o, 2*m + 3*o - 14 = 0. Suppose -2*j + 22 = -m. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 599.3575t?\nAnswer: 599357500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/((-4)\/(-2)))\/((-5)\/(-25))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, q: 2, c: 1, a: 3, f: 5}. What is prob of sequence cff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 44 + 430?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 25 = 6*a, 5*z - 165 = 2*a. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -4, -15, 2.\nAnswer: -15, -4, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 43.9736g in kilograms?\nAnswer: 0.0439736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 668 is divided by 519.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 34*z - 1027. Give j(32).\nAnswer: -963","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z - 10. Let j be q(-5). Suppose 4*w - 2*k = 10, -4*w + 0 + 30 = 2*k. Solve 5*r - 26 = 3*a, j = -w*r + a + 8 + 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**5\/5 - 13954*i**4\/5 - 374854*i**3\/5 + 3098698*i**2\/5 - 6963288*i\/5 + 850680 = 0.\nAnswer: -6950, -34, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 4:27 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 182\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + l)*(2 + 2*l - 2)*(-2*l**2 - 4 + 4 + (-l**2 - 1 + 1)*(-6 - 1 - 2)).\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 + 43076915*r - 43076910.\nAnswer: -5*(r - 8615382)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-10)\/(-24))\/((-10)\/(-40))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18468757 to the power of 1\/2, to the nearest integer?\nAnswer: 4298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15631 - -5631. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o - 3*o - 4*o)*(3 + 2*o - 3) - 2*o**2 + 2*o**2 + 3*o**2 - o**2 + 3*o**2 - o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3416 divided by 244\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-135)*(6 - (-1182)\/(-198))*(-9)\/4.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**3 - 2012*v**2 + 3393402*v + 3395412 = 0.\nAnswer: -1899, -1, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 71.9*39303\nAnswer: 2825885.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 226104344 to the power of 1\/2, to the nearest integer?\nAnswer: 15037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13168)\/(-32920) - (-78)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -46227.8 * -3.8.\nAnswer: 175665.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**2 + 7*i + 1. Let k be q(7). Let j = k + 4. Let u(a) = -a**2 + 7*a - 9. What is the least common multiple of 3 and u(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*u + 893 + 276 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1acbb3c (base 13) to base 15\nAnswer: bae883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -3*m + 40, 2*o - 13127 = 3*m - 13147 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1193382.1 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -23777414*h**2*r**2 - 509*r**2 + 18*r - 1 wrt h.\nAnswer: -47554828*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9\/(-27) + 35\/15. Suppose 12*p + n = 10*p - 7, -i*p = 2*n + 10. Let m(w) = -w**3 + w**2 + 2. Calculate m(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-3) + (-4)\/6. Suppose -3*t = -0*t + 6. Let k be 7 + (3 + t)\/(-1). Solve -o*s + 0*s = -k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3112696 * -0.78.\nAnswer: -2427902.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.0286, 22.9, -3, -0.3?\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1033, -5426, -17359, -40606, -78941, -136138, -215971, -322214?\n\"Answer: -629*i**3 + 4*i**2 - 2*i - 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.17 - -1.77. Let r = 1803.22 + -1803. Which is greater: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 446*j**2 - 16059*j + 108. Calculate t(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-22) + 70\/22. Suppose -s*l + 3*r - 107 = 2*r, 141 = -4*l + 3*r. Let q be -3*(-4)\/(l\/(-39)). Calculate the greatest common divisor of q and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9127 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 90.7142 milligrams to micrograms.\nAnswer: 90714.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.4, -228, 1.7 in increasing order.\nAnswer: -228, -2, -0.4, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d*r**4 - 48*d*r**2 - d*r + 1118*r**6 + 9*r**2 wrt r.\nAnswer: 24*d*r + 134160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 - 5*z - 9. Let h be m(7). Suppose h*w + 0 = 10. Calculate the highest common factor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-54)\/45)\/3)\/((-14)\/5)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 v when three letters picked without replacement from {v: 1, q: 1, x: 1, a: 1, f: 6, l: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10221536, 10221538, 10221540, 10221542, 10221544, 10221546?\n\"Answer: 2*r + 10221534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = y + 3*y. Let n = 46 - 67. Calculate the remainder when 17 is divided by y\/3*n\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - 26*s = -400. Suppose 4*u - 312 = -5*n, -3*n + 6*n = -4*u + 320. Let r = s - u. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 4*u = -5*h - 5, 0 = 5*h - 3*u - 19. Suppose -h = -2*x + 144. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 11*y + 10. Let k be c(8). Let g be ((-35)\/k)\/((-1)\/10). Let r = g - -41. What is the highest common divisor of 128 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 34, -5, 55204, 1, 0.3, 1\/3?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-8))\/((-2535)\/(-676)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -13, 7, -1 in descending order.\nAnswer: 7, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 26*o - 1. Let m(p) = 25*p - 1. Let s(a) = 5*j(a) - 4*m(a). What is the units digit of s(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2205900 is divided by 1645?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 174074977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 74882617*v - 74882671*v + 2214 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27, 101, 213, 363, 551?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -227510 divided by 10.\nAnswer: -22751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -358 greater than or equal to -18911\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 13*h**3 - 35*h**2 + 18*h - 36. Let k(o) = 6*o**3 - 17*o**2 + 9*o - 17. Let d(b) = -5*j(b) + 11*k(b). Calculate d(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-30474)\/(-8) + (495\/(-44) - -12) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 2. Let g be m(2). Let l(n) = -8543 + 4273 + 4271 + 4*n. What is l(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (0 + 202\/(-4))\/(-2) and ((-1)\/((-16)\/74))\/((-77)\/132)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31982701 is divided by 2583?\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**5\/60 - v**4\/24 + v**3\/2 - v**2. Let t be k(0). Let d be 44\/6 + 4\/6. Solve d = 6*f - t*f - 5*r, -5*f - 5*r = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 - -9. Let y(n) = -n**2 - 19*n - 8. Let q be y(v). Let j = 572\/7 - q. Is 1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 52*c**2 + 3*c**4 + 5*c**2 - 2*c**3 - 5*c**2 - 4 + 3*c**2 as s + d*c + q*c**2 + k*c**3 + z*c**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00952873 rounded to 5 decimal places?\nAnswer: 0.00953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-623)\/(-52))\/((-1)\/(-8)). Let b be -1 - (20001\/208 - 0). Let i = p + b. Find the common denominator of i and -1\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -1 + 36115*n + 1 - 36123*n. Let w(m) = -3*m - 2. Calculate w(f(x)).\nAnswer: 24*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c - 7. Let u be z(-9). Suppose -u*a - 5*m + 10 = 0, -3*a + 22 + 10 = -m. Solve -a = f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 6*g**2 + 4*g + 5. Let i be o(5). Let f be (-2)\/1 + i + 6. Suppose -f*b + 62 = b - j, -4*b = -3*j - 43. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87*a + 578 = 143. Sort -2, a, 1949 in decreasing order.\nAnswer: 1949, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/1)\/((-6)\/(-288)*12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/50)\/(126\/(-70)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 12, p: 7}. What is prob of sequence pp?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115*n + 228 = -76*n - 96*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 86204*j**3 - 307919.\nAnswer: 258612*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -3, -9 in descending order.\nAnswer: -1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w - 3. Let n be r(-2). Let f be -1*(-1)\/((-4)\/(-8)) + n. Solve 0 = y + m + 2, -f*y + 2*m = 7 + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 14.54 and 3954?\nAnswer: 3939.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*u**3 - 18*u**3 - 7*u**3.\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.130941532 rounded to five decimal places?\nAnswer: -0.13094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -74*m + 79. Let s be v(1). Let c(w) be the first derivative of -s + 8\/3*w**3 + 0*w**2 - 7*w. Differentiate c(h) with respect to h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -387 (base 13) in base 3?\nAnswer: -211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j*(j*j**(3\/2)*j)\/j)\/j)**(-16))**(-2\/69))**(-10\/9))**(-2\/13) assuming j is positive.\nAnswer: j**(1600\/8073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -29. Let d be 3*6\/m + 4. Let i be (2\/d - -28) + -4. Solve 2*g - 5*b + i = -g, 0 = 5*b - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + 0 + (1 - (-3 - -7)). Which is the closest to g?  (a) -0.1  (b) 1\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 268114 is divided by 2506?\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-126)*2283\/(-6088).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 5:32 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 - (-8 + 7 - (-1 - 0)). What is the greatest common divisor of z and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 3459 = -3499 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 142\/532 - 543\/2534?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -44, 2, -3, 1, 0 in descending order.\nAnswer: 2, 1, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 3*p**2 - 4*p - 4. Let t = 6 + -4. Let z = -5 + t. Is u(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8592005.\nAnswer: 5, 1718401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 446 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*u - 4*u + 11*u - 6*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 159110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)\/(sqrt(121)\/sqrt(176)) - (-2 + sqrt(468))*-4)**2 + 1 + -3.\nAnswer: -448*sqrt(13) + 10254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -56*l + 6. Let c(k) = -118*k + 17. Give -4*c(j) + 11*y(j).\nAnswer: -144*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6725 is divided by 3315.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3007 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20959096 or 20959097?\nAnswer: 20959097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 96 + 122. Let h = p + -147. What is the remainder when h is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/1280 and -113\/7680.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -50414090*r**4 - 51025200*r wrt r.\nAnswer: -604969080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1203 + 597. Let m = -509 - q. What are the prime factors of m?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 23478000*m*z**2 - 8*m*z - 6732381*m wrt z?\nAnswer: 46956000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -19*o**3 - 4*o**2 + 3*o. Determine q(2).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6.4 and 23.4546.\nAnswer: 150.10944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from beebe. What is prob of sequence ebe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h**2\/5 + 16*h\/5 - 8\/5 = 0 for h.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/94934 and -20\/41343757?\nAnswer: 82687514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*k - 3*k + k)*(-14*k - 63 + 176*k - 143*k) as n*k**2 + h + s*k and give s.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 5 = -13. Which is the nearest to -2?  (a) -3  (b) g  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4420 + 4556 = 662*f + 370. Solve -13 = -f*k + 104 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0795858 to 4 decimal places.\nAnswer: -0.0796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 7. Let m(h) be the third derivative of 23*h**5\/30 + 54*h**2 - 25. What is m(j(s))?\nAnswer: 46*s**4 - 644*s**2 + 2254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2. Let d(v) = -2*v - 4021. Calculate j(d(k)).\nAnswer: 4*k**2 + 16084*k + 16168441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*z - 2*z - 2*z + 2*z + 0 + 0 + z + (2 - 5 + 4)*(-z - 2*z + z) - 2*z - 2*z + 2*z + 3*z + 0*z - 5*z)*(2*z + z - 4*z)*(2 - 3 - 2).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-765000)\/(482\/(-120) - (-13 + 9)). Suppose 0 = 13*o + 14*o - u. What is o rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -86 + 117. Let w = y - 1. What is the remainder when w is divided by (-13)\/(-1)*(-3)\/(-6)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -8742, -8358, -7972, -7584, -7194, -6802?\n\"Answer: p**2 + 381*p - 9124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*t + 13. What is the second derivative of -t*r**5 - 10*r - 6*r - r + 32*r**5 wrt r?\nAnswer: 420*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and 74671.\nAnswer: 74671.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -3*h + 5, -4*h + 4 = -5*c - 3. Let i = h + 275. List the prime factors of i.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 323087493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5780, -11592, -17476, -23468, -29604, -35920, -42452?\nAnswer: -49236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b = 3*i + 9 + 3, i + 4*b + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1371 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + w - 17 = 0, -3 = -4*w + 5*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -101*x**3 - 3*x**2 - 20*x - 31. Let p be c(-2). Calculate the highest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -73. Let c = -29 - f. Solve c = 2*m - 5*m + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) -0.4  (b) 19  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70452707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-2)\/6)*66\/4*(-51850)\/129625?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8a0 + -5?\nAnswer: -8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 10) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x*x**8\/x)\/x*x*x)\/x*x)**(9\/4)\/(x\/((x\/x**(-6\/11))\/x))**(-3\/8) assuming x is positive.\nAnswer: x**(1995\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -430 = 6*f - 472 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 217967125 to the power of 1\/2, to the nearest integer?\nAnswer: 14764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -4*f**2 - 73*f - 128. Let p be w(-16). Solve 4*y = 0, 4*y = -2*r - 20 + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mpppppppm. Give prob of picking 4 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2134 (base 14) to base 10.\nAnswer: -5730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 612504 and 940?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 23942 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of r**3 - 3. Let p(j) = -j**2 + j**2 + j**2. Calculate p(k(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(165)\/sqrt(3))\/sqrt(5) - sqrt(11))**2 + 1)*1*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (44\/16)\/((-3)\/(-564)). Suppose 4*d + g = -b, -3*g = 2*d - 4*g + 251. Is 6 a factor of (14\/8)\/((-8)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18.2 + -9.5. Let m = y - 9. What is the nearest to -2 in m, 0.4, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**2 - 1228*i + 188498 = 0. What is i?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104403013 (base 5) in base 4?\nAnswer: 21032212331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2  (b) -4  (c) -0.4  (d) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 1. Suppose 4*v + 2 = 6, 2*n + 14 = 2*v. Let r(b) = -b**2 - 8*b + 41. Let q(t) = n*u(t) + r(t). What are the prime factors of q(0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 57 and 390?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 y when two letters picked without replacement from fwwmmllywl?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0142 + 0.0142. Which is the closest to x?  (a) -4  (b) -2\/9  (c) 1\/5  (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6059939250?\nAnswer: 2, 3, 5, 389, 20771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - (-8 - 0))*21\/6*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2 - (31 + 27 + -68)) + 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67992*l**2 + 0 - 13741*l**2 + 0.\nAnswer: -81733*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 0 + 0)*(-9*v + 29*v + 7*v).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*o - 117*o - 2 + 2.\nAnswer: -280*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g = -30*g - 111 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/4817553054 and -117\/20.\nAnswer: 48175530540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 12 + 2 + (1 - -1 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*z**4 - 3*z**4 + 5*z**4 + (2 - 1 + 1)*(2 + 0 - 4)*(-13 + 3 - 32)*(5*z**4 + 4*z**4 - 4*z**4) to k*z**2 + j*z + a*z**3 + q*z**4 + y and give q.\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -15*i + 16*i. Let n = 9 + i. Let a(d) = -d**3 - 10*d**2 - 16*d. Let h be a(-8). Is n bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-51)\/(-9))\/(199\/(-597)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 4 = -2*o - 3*m, -4*m = 5*o - 1. Solve k + 3*x = 9, k + 3*x - 5*x = -o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1274)\/(-5976) - 40\/180. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {s: 1, f: 3, x: 1, h: 4, t: 4, k: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4677587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2624*z**2 + 10502*z + 14. Determine d(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 4:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1047552 by -8184.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -725\/4 + 180. Suppose 4*q - 2*y = -10, 4*q - 7*y = -3*y - 12. Which is the second biggest value?  (a) q  (b) -0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from ghqmd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**2 + 2*b - 3. Let a(d) = -8*d + 8. Let g(s) = -s**2 - s. Let y(r) = a(r) - 3*g(r). What is 8*h(k) + 3*y(k)?\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -3, 2\/187, -4\/7, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fmlfdxl. Give prob of picking 1 l, 2 f, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 370 = -2*p, -p + 2*r = 4*p - 925. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (-9)\/((-108)\/39).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5519399193240 plus 100?\nAnswer: 5519399193340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 109110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21.6405 - 23.5. Let q = d - -1.92. Round q to three decimal places.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgvtkkppggtcpc. Give prob of sequence kgc.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5966, 10, -2, 2, -1, 15, -4 in decreasing order.\nAnswer: 5966, 15, 10, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.076 bigger than 0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2416 and 11552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3330313222 - 1133?\nAnswer: -3330321021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 851798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*t + 163394 = 163142 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (1 - -1) + 675 + -707?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 22, 92, 216, 400, 650, 972, 1372, 1856?\n\"Answer: p**3 + 21*p**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82427 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 506*g*l**2 + 7*g + l**2 - 13 wrt l?\nAnswer: 1012*g*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**3 - 6*x**3 + 2*x**3 - 2*x**2 - 5*x**3 + 2 in the form u*x**2 + p + y*x**3 + w*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14590 by -10.\nAnswer: -1459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**3 + l**3 - 3*l**3)*(63*l + 46*l + 99*l)*(1 + 3 + 5).\nAnswer: 1872*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**2 - 163*r + 106. Give k(81).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*x + 7*x**4 + 9*x + (2*x**3 + 8*x**2 - 8*x**2)*(0 + 2*x + 0) - 1039*x**4 - 1033*x**4 + 2057*x**4 as m*x**2 + q*x**4 + h + b*x**3 + n*x and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - h. Sort h, 4, -4 in descending order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11)\/176 - (-442233)\/144 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.99 - -0.01. Let m = w + -8. Let u = -13 - -13. Which is the nearest to u?  (a) m  (b) -2  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/2)\/((-5)\/(-20)). Let o be (-2 + p)*1\/2. Suppose -y - 4*u + 7700016 = o, y + 5*u = -0*y + 7700020. Round y to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 3*q**4\/5 - 36*q**3\/5 - 69*q**2\/5 + 414*q\/5 - 312\/5 = 0.\nAnswer: -4, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261459.\nAnswer: 3, 11, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 - 768*p + 772.\nAnswer: -4*(p - 1)*(p + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 - 3\/((-42)\/(-20)). Let j = 74 - 77. Which is the second smallest value?  (a) j  (b) 0.2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 382 and 59660378?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 61 = 2*f + 24*f + 7*w - 294, 4*f + 4*w - 220 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*w - 6*w + 161 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 343880 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (c + 4 - 4)*(-1 + 1 - 2) - 2 + 2 - 3*c + 4971*c + 69 - 153 + 84 as d + w*c and give w.\nAnswer: 4966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -240 + -1?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 2*w = -62, 4*w + 41 = 3*l + 9. Let d = 6 + -8. Let m = d + l. What is the remainder when 17 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (170 - 20) + -246 + -25 + 2\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/143 and 73\/46527.\nAnswer: 511797","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33315*i**2 - 6 + 17711*i**2 + 15604*i**2 - 10*i**3.\nAnswer: -10*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 61946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b + b - 6*b + (-b - b + 6*b)*(-2 + 2 + 2 + (2 - 2 + 1)*(-3 + 5 - 1)) - 119 + 116 - 18*b - b in the form o + i*b and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -7 - (-33 + 39)) + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 552855687.7 rounded to the nearest 100000?\nAnswer: 552900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -382 + 1156\/3. Let t = 5339\/3 + -1778. Suppose -2\/3 - d*l**3 + 4\/3*l**2 - 2\/3*l**4 + t*l + 5\/3*l**5 = 0. Calculate l.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 252378 by 2.\nAnswer: 126189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 11:25 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of -i**2\/2 + 3. Let t(m) be the third derivative of m**4\/24 - 36*m**2 + 1. Give t(w(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -5*w - 0*w, -5*o + 2*w = -15 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -616*q + 610*q + 30. Which is the nearest to -0.3?  (a) q  (b) -1  (c) -0.4  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 3*o = -46, 3*s + s + 5*o = 29. Calculate the highest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -18428\/2525 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -823 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -32*r**2 - 59*r - 7013. Let i(s) = -47*s**2 - 88*s - 10520. Let o(v) = -7*f(v) + 5*i(v). Differentiate o(z) wrt z.\nAnswer: -22*z - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197, 315, 485, 713, 1005, 1367, 1805, 2325?\nAnswer: 2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(5\/6))**(-2\/85)\/(y**(9\/4)*y*y**(-23)*y))**16 assuming y is positive.\nAnswer: y**(15284\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1112, -4301, -9588, -16973, -26456, -38037, -51716?\n\"Answer: -1049*v**2 - 42*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -710953 + 1074090. Suppose 4313137 = -5*t + w. What is t rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178 - 101136020.\nAnswer: -101135842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 34 + 0\/3 + -4. Find the second derivative of 33*j - d*j**5 - 407*j**4 + 407*j**4 wrt j.\nAnswer: -680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(96) + sqrt(96))\/sqrt(2) + sqrt(192) + -2)**2 + sqrt(300)*2 + sqrt(300) + -5 + (-1 + sqrt(192) + 0 + sqrt(192))**2.\nAnswer: -18*sqrt(3) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -3\/5, 0, 7976, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + v - 6 = -190, -80 = -2*s + 2*v. Suppose w + s*p - 40*p - 356 = 0, -1078 = -3*w + 2*p. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -11, 2538, -2\/173, -1\/9?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 32874 - -314305.825?\nAnswer: 347179.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 543482900 and 600.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -14*x**2 - 89*x - 225. Let n(h) = h. Determine n(i(g)).\nAnswer: -14*g**2 - 89*g - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -281 + 337. Suppose -d*z + 42 = -49*z. What is the smallest common multiple of 26 and z?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by 26\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - -2) + (0 - (-15 - -4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 25 = 4*g, 49*z + g = 47*z - 5. Which is the second smallest value?  (a) z  (b) 10\/7  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, l: 3, s: 4, k: 5, h: 5}. What is prob of picking 2 s?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.75 - 0.25. Let m = -20 - x. Let i = -3 + 0. Is i at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 449 - -291. Suppose 4*z - 504 = -2*a, -9*a + 2*z = -6*a - b. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -1851*a - 29617. Give q(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3269 and 44324.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -v + 21. Let u = -4 + v. Let r(k) = k**3 - 2*k**2 - 2*k + 3. Let q be r(3). Solve 6*g + q = u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 5 - 4 - 2 - 6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 191*t**6\/2 - 235*t**3\/3 - 733. Find the third derivative of l(d) wrt d.\nAnswer: 34380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-68)\/119)\/((-4)\/(-14)) - -4. What is the hundreds digit of (1 - j)\/12 + 15698\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5635\/3 + 1903. Let z = -25 + t. Let m be 0 - (0 - (-2)\/3). Which is the closest to -1\/3?  (a) -4  (b) z  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 99834140 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 2140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5 or -36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46128 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 33, 57, 81, 105, 129?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9848 + 9865. What is the remainder when 0 + -26*18\/(-4) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -d + 5*h, 82*d - 18*d - 46*d - 5*h + 112 = 22*d for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 912 = 4*p, -1253 = -4*p + 5*c - 341. What is the greatest common divisor of 1254 and p?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 36.46  (c) 34.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4 - 2074*(-6)\/(-2664) and -14*(-16)\/392 + (-50)\/63.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 4*o**2 - 2*o + 9. Let p be n(-4). Suppose -4*l = 47 + p. Let m = -0.88 + 0.78. Which is the closest to m?  (a) l  (b) 2  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*z = 6280 + 740. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 1, q: 13, k: 1, z: 2, u: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/3 + 2162*r - 425815\/3.\nAnswer: (r - 65)*(r + 6551)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(690\/23*4\/20).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a**(1\/5)\/a)\/a)\/a))**(-16) assuming a is positive.\nAnswer: a**(-304\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/13 - 68*m\/13 + 144\/13.\nAnswer: -2*(m - 2)*(m + 36)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 9*u**5 + 4*u**5 + 6*u**5 + 0*u**5 - 2*u**5 + u**5 + (-u**5 + 5*u**5 - 2*u**5)*(2 - 2 - 1).\nAnswer: -2*u**5 + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w**5\/2 - 3995*w**4\/2 + 7987*w**3\/2 - 3993*w**2\/2 = 0. Calculate w.\nAnswer: 0, 1, 3993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 965\/1338*272\/(-70). Let n = 35\/446 - q. What is the common denominator of -38\/3 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-114)*-2)\/(1612\/(-9672)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3 + 228*p - 223*p - p**3 + 28*p**2 - 25*p**2. Determine d(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h\/(h*((h\/((h\/((h*h*h**(1\/7))\/h))\/h)*h)\/h)\/h))\/h)\/h**(2\/5))\/(h\/(h\/(h**(-2\/3)\/h)))**25 assuming h is positive.\nAnswer: h**(4213\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 0 - 1\/6*b**3 + 30*b + 0*b**2. Let l(r) = 7*r + 7. Let t(h) = -h**2 + h + 1. Let w(z) = 3*l(z) - 21*t(z). Give w(s(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3358278 and 9504.\nAnswer: 161197344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (65\/(-39))\/((-5)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.8353 - 0.0653. Round k to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 224730 + -224730. Factor -8\/3*q**3 + a*q + q**4 + 0 + 4\/3*q**2.\nAnswer: q**2*(q - 2)*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(7) + (sqrt(112) - sqrt(7))**2)*-4.\nAnswer: -253 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r + 2*r + 125 = 12*r. Sort 4, -3, r, 1, 3 in ascending order.\nAnswer: -3, 1, 3, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from xxkxoxxoxooxxxxxox.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*(j*(j\/j**(-4\/3))\/j)\/j*j*j)\/j)\/j**(-1\/32))\/(((j*j\/j**(-29))\/j)\/j**(-32)) assuming j is positive.\nAnswer: j**(-5533\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 2*s**3)*(-25 - 8 + 8) as y*s**3 + b*s**2 + j*s + k and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10011102 - -2020?\nAnswer: 10020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63270.\nAnswer: 2, 3, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (4 - (2 - (-2 + 4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 271, 558, 845, 1132?\nAnswer: 1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250776150.\nAnswer: 2, 3, 5, 1223, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -52*n - 172. Let c be y(-3). Let l(s) = s**2 + 14*s - 33. Determine l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11956350 and 120625.\nAnswer: 298908750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 329432 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 121209.102 hours in weeks?\nAnswer: 721.48275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/135 and -82\/225?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -182442.3 to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -1 - 3. Let q be (4\/10)\/(v\/(-10)). Let p be 4 - 4\/((-16)\/(-20)). Put p, -5, q in decreasing order.\nAnswer: p, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/8 - (-12067)\/44. Suppose -4*q = -v + 78. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**3 - 6*y**2 - 5*y - 4. Let r be k(-5). Let v be 5 + -4*60\/50. What is the closest to -1 in 2\/9, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 26 and 2.83418.\nAnswer: 73.68868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.8 in -0.7, -2\/9, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22073 - -22077. Solve -5*q = p + 12 + 6, -5*p = z*q + 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 611568 and 8220.\nAnswer: 3057840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b + 8 + 3 - 11.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*h**4 + 9*h**4 - 3*h**4 + (-h**3 + 4*h**3 - 4*h**3)*(-3*h + h + 3*h) + 2*h**3 + 4*h**4 - 2*h**3.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.02 - -2.02. Let n be (-4)\/(-8)*-5 - -3. Which is the closest to -1?  (a) n  (b) o  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*c - 300. Calculate the greatest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 26*w - 78. Let k = 148 + -140. What is the hundreds digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 10. Let f = s + -2. Is -5 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2*r = 22, -f - 4*f - 5*r = -35. Suppose -3*s + 33 = 3*c, -6 = c - f*s - 2. Calculate the lowest common multiple of c and 2\/7 - 496\/(-28).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 8:30 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.555 + 3.964. Let k = n - 0.009. Let r = 6.60061 + k. What is r rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19\/584 + 2\/219. Let n(w) be the first derivative of -1\/5*w**5 - 5 + 0*w - 3\/8*w**4 - 1\/3*w**3 - 1\/8*w**2 - r*w**6. Factor n(y).\nAnswer: -y*(y + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 710494243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 3239*t + 9707869. Calculate y(1892).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -t - 8099985, -4*t - 2*d - 17550267 = 14849727. Round t to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4\/28299 - 28307\/56598. Which is the nearest to -852?  (a) 0.5  (b) h  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -9*h + 20. Suppose -3 - 5 = -4*n. Solve -166*r + n*r**h - 2 + 166*r = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of z**6\/450 + z**5\/75 - 13*z**3\/3 + 11*z. Let l(o) be the second derivative of p(o). Factor l(m).\nAnswer: 4*m*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.1, -43, -3\/10, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -3*v - 6, -3 = -2*v + f - 0*f. List the prime factors of ((-14)\/v)\/((-2 + 0)\/42).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 13, 46, 123, 262, 481, 798, 1231?\n\"Answer: 3*a**3 + 4*a**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, 1332184\/17, -0.1 in increasing order.\nAnswer: -0.1, 1\/8, 1332184\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37.64 - -37.532. What is the second smallest value in 5, 0, -0.3, z, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*r + 22. Suppose -2*k + 33 = r. Suppose -5*w = -11 - 14. What is the remainder when k is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(140)\/(1*sqrt(7)) - sqrt(20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3 = 9. Suppose -22 = -2*v - f*i, v - 3*i - 2*i = 5. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 783 + -784. What is the second smallest value in -0.13, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*2)*-3 - sqrt(152))\/(sqrt(80)\/(sqrt(50)\/sqrt(5))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 146 - 71. Let r = v - 77. Let j(n) = n**2 + 1. Let s be j(2). Which is the third smallest value?  (a) 0.3  (b) r  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/3 + 312\/72. Let r(x) be the second derivative of -x**2 + h*x + 0 + 1\/20*x**5 - 1\/4*x**4 + 2\/3*x**3. What is r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (35 - (-8702)\/1748) + 7740\/552 + -14\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -10  (b) -0.36  (c) -2  (d) 71\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*p - 4*p - p + (5 - 3 - 3)*(0*p + 2*p - 3*p))*(p**2 - p**2 + 2*p**2) as t + k*p + v*p**2 + w*p**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16314 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 9:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - d - 10. Let n be v(8). Suppose 2*o = n - 2. Let u = o - 8. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1944 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0017079 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 34 + -31. Let g be -1 - (297*101)\/c. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - x**2 + x + 30. Let h be n(0). Suppose -q + 6 = -h. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -328 + 611. Let f = b - 278. What is the smallest value in -1\/6, f, 6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 228328845299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 935470 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2 - -0.3. Let m = 3.179 - 0.059. Let f = 0.12 - m. Which is the second smallest value?  (a) f  (b) n  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*u**3 + 140*u**3 - 49*u**3 - 42*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 8*w = n + 548008, -4*w - 547992 = n. Round n to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*(-3)\/(-21))\/(3\/(-1))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 425148*a**2 - 425137*a**2 - 2*a**3 - 2 - 3 to the form q*a**3 + z*a + h + s*a**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.047816 to 3 dps.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-49)*q**(-17\/2)*q)\/(q\/(q\/q**11*q)*(q*q**36\/q)\/q))**(-35) assuming q is positive.\nAnswer: q**(7105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**7*r*r*r**(-1\/5)*r\/r**(-2\/3)*r**(-1\/29))**(2\/107) assuming r is positive.\nAnswer: r**(9946\/46545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -2*r + 38. Give k(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-66)\/528*(-7 - 1). Sort 5, 9, f in increasing order.\nAnswer: f, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -8*a**2 - 86*a - 211. Let f be g(-6). Calculate the greatest common divisor of f and 33167.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20475 and 1260?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a + 1. Let w(m) = -3*m + 6. Let g(n) = 2. Let x(z) = 2*g(z) - 2*w(z). Give -5*b(t) - x(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 - 1056*z**2 - 4172*z - 3120.\nAnswer: -4*(z + 1)*(z + 3)*(z + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 15, -367, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -187234702*p**4 + 47284463?\nAnswer: -748938808*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.199 and -6032?\nAnswer: 1200.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 20082750 to the power of 1\/2, to the nearest integer?\nAnswer: 4481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*y**3 - y**2 + 40573*y + 223753.\nAnswer: -6*y**2 - 2*y + 40573","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/20*(-4)\/((-108)\/15).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22913.\nAnswer: 11, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -28 + 28 - 19*r - 19 + 19 + 7*r + (2*r - 2*r - 2*r)*(0 + 2 - 1).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u - 23. Suppose 5*r = 3*o + 89, 4*o - 65 - 38 = -5*r. Determine g(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/2 - (7 - 16). Solve 0 = -2*i - 5*t + 13, -2*i + 4*t - 3 = w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10975113217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3 + 487772*r**2 - 2926663*r + 2438890.\nAnswer: (r - 5)*(r - 1)*(r + 487778)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-180)\/((-81)\/9))\/22\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -3*d**3\/2 - 9*d**2 + 3*d\/2 + 9 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -60886015*u**6 - 1106397663*u**2.\nAnswer: -7306321800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 16 = 3*b. Let z = 4 - 4. Suppose z = -b*c + c + 102. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4560)\/(-665))\/((-3)\/(-14)). Let s be h\/16*(-6)\/(-4). Solve 1\/2*t**s + 3\/4 + 2*t + 7\/4*t**2 = 0 for t.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 + 21003?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*d - 17 - 79 = 0. Suppose -s = -d*s + 11965. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in ninety-eight fifths of a kilogram?\nAnswer: 19600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/21 + 128\/320 + 18\/5.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3205\/25 - 4 - (-3)\/(-15). Let l = -108 + w. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3*d - 2*k + 10, 2*d - 7 = -k. Suppose d*n - 16 = -n. Suppose y + 0*f = n*f - 3, -3*y = -2*f - 21. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2858 + 4211. What is the lowest common multiple of 33 and o?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17934 by 2562.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*t**2 + 0*t**2 - 1 - 4*t**2 + 348*t - 358*t as p + m*t**2 + v*t and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.73219 + 4.73. What is k rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 401 and 3629?\nAnswer: 3228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -453 + 450. Let c = 4 + -5. Let d(q) = 1. Let u(a) = -a**2 - 2*a + 2. Let x(v) = c*d(v) - u(v). What is x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-4) + (-7 - (-42735)\/5476)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 20*k - 66. Let x(q) be the second derivative of -12*q + 0 + 1\/16*q**4 + 6*q**2 - q**k. Factor x(r).\nAnswer: 3*(r - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -274.9 + 260. Let y = 14.90497 + u. Round y to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/42)\/(13*(-6)\/(-2340))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.69 - 1.3. Let w = 0.39000034 - d. Round w to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 81802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 115 - 109.9. Round k to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l - 12. Let p be d(-7). Solve 0 = -4*m + p + 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 v when four letters picked without replacement from {v: 8, r: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 230*h - 9203. What is b(40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -778 + 778.802. What is l rounded to two dps?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 553262 is divided by 10967.\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 195*b**2 + 117*b wrt b?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -8*b**2. Let p(s) = 2*s + 4894 - 4894 - 30*s**2 - 3*s - 3*s**2. Calculate p(v(i)).\nAnswer: -2112*i**4 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 - -1.2. Let i = -195 + 196.1. Let t = y - i. Which is the third biggest value?  (a) t  (b) 1\/7  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60 divided by 12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -158, -319, -478, -635, -790, -943, -1094?\n\"Answer: l**2 - 164*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**2 - 75*t - 73. Let l be j(26). Solve 3*g - 6 = 3*z, -5*z + 1 - l = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12611 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-3) + 32\/12. Let v = 1 + a. Let q = -18 - -13. Sort 5, v, q in increasing order.\nAnswer: q, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 + 5*t**5 + t**5 + 3*t - 3*t + (-5*t + 5*t + 2*t)*(3*t**4 + 0*t**4 - 2*t**4))*(-1 + 0 + 2).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 2*n**5 - 4980*n**4 - 249134*n**3 + 792176*n**2 - 19896*n - 1056224 = 0?\nAnswer: -52, -1, 2, 2539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*v + 151*v**2 - 2 + 6 - 142*v**2 - v**4 - v**3 = 0. What is v?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the second derivative of 1\/30*z**4 + 2\/5*z**2 + 44*z + 1\/5*z**3 + 0. Solve p(m) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17 - -2774?\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -16\/3, -8, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/3 - (5 + 2). Put 2, -2, -1, i in decreasing order.\nAnswer: 2, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -5*d**2 - 5*d - 5. Let x = -18 - -34. Let n be (-38)\/14 + x\/(-56). Let r(f) = -14*f**2 - 14*f - 14. Calculate n*r(h) + 8*b(h).\nAnswer: 2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -5\/2*d**2 - 5\/6*d**3 + 0 - 10*d. Let n(h) = -h - 1. Give -g(f) + 4*n(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - 0 - (6 + 15\/(-5)). Let l be 62\/o*1*210\/(-20). Suppose -5*c + 4*c - l = -5*n, -3*n + 129 = -c. Calculate the highest common divisor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 870 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2402.624us to seconds.\nAnswer: 0.002402624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16166 + 17349. What is the highest common factor of m and 4823?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/168 and -95\/308?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2158961 is divided by 19443.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 394, -6, -3, 3 in descending order.\nAnswer: 394, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -6*a**2 + a + 60. Let l(g) = -12*g**2 + 3*g + 119. Let n(f) = -4*l(f) + 7*s(f). What is the first derivative of n(h) wrt h?\nAnswer: 12*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of 0 - 5\/36*y**4 + 1\/6*y**3 - 1\/60*y**6 + 1\/630*y**7 + 1\/15*y**5 + 0*y + 83*y**2. Factor g(f).\nAnswer: (f - 3)*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 1 - 1)*(1 - 1 + i) + 20 + 25*i - 20)*(6*i + 343 - 343).\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 325.2658 litres to millilitres.\nAnswer: 325265.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1205769633?\nAnswer: 3, 6949, 57839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29.8 + 32.8. Which is the nearest to 0.8?  (a) -5  (b) 0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - 5*-2*sqrt(153) - (6*2*sqrt(153) + sqrt(153)))*4)\/((4*sqrt(108) - sqrt(108))\/sqrt(12) + (sqrt(9) - sqrt(72)\/sqrt(8))*1).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**5 + 6*p**4 - 4*p**3.\nAnswer: -2*p**3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18634 and 14641?\nAnswer: 204974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**2 - 2*p**2 - 2*p**2 + 5*p**2 + 0*p**2 - 4*p**2 + (-4 + 4 - 2*p)*(-2*p + 5*p - 4*p) + p**2 - p + p + 5*p**2 - p**2 - 3*p**2 - 5*p + 4*p**2 + 5*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7 * 291\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**(-13)*c*c\/c**(-7) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 707600.2 nanoseconds in microseconds?\nAnswer: 707.6002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/24 and 17\/10138?\nAnswer: 121656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (sqrt(192) - (3 + sqrt(192) + sqrt(192)))*5 + 3 + 0)**2 + -5)*1.\nAnswer: 720*sqrt(3) + 4876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55073?\nAnswer: 55073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.25 + 0.3. Let d = 64.072 - 64.1220016. Let t = d + c. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 252 and 3565800?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 10:42 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5002*l**3 + 1 - 271*l - 2*l**2 + 5005*l**3 - 10009*l**3 to d*l**2 + k + w*l + z*l**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1.21  (b) 4\/19  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 5*i**2 + 3*i - 9. Let w = 1 + 1. Let d(p) = 56*p**2 - p + 2*p + 54*p**2 - 2 - 163*p**2 + 54*p**2. Give w*v(n) - 9*d(n).\nAnswer: n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2981 and 0.18.\nAnswer: -2980.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 120\/(-9)*(-9)\/(90\/52). Let l = b + -69. What is the closest to l in 0.6, -0.5, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 - -20.5. Let n = d + 2.1. Let o = n + 16. Round o to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 less than 184.6?\nAnswer: 176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (328\/23 - (-209 - -197)) - 12.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -0*k - 4. Let q(b) = -b**3 + b**2 + 3*b. Let c be q(k). What is the second derivative of -m**c - 661*m**4 + m**2 + 27*m + 650*m**4 wrt m?\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*u - 63*u - 59*u + 241*u - 57*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 + 853\nAnswer: 852.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2024 is divided by 660.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 535247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12422.904 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -27, -4, 0.5, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -77579 and -13.\nAnswer: -77592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that 52\/5*u**2 - 2\/5*u**3 + 0 + 54\/5*u = 0.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3610619 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 - 6*k + 7. Let i be r(-6). Suppose -b - i = -17. Suppose -q = -b - 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 27\/11 or 1?\nAnswer: 27\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -114257*d**3 + d**2 + 10812*d + 2.\nAnswer: -685542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the second derivative of -5\/2*y**2 - 16*y + 0 - 5*y**3. What is the tens digit of t(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14835 + -14519. Solve -12 = -320*s + b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, r: 3, x: 7}. Give prob of picking 2 r and 1 x.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25384 = -48*g - 5368. What is the remainder when g is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/(-7) - (-2*6\/42 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37962 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2) + (5 + -5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 - (-31 + (-38 - -35)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 297, 654, 1247, 2076, 3141, 4442, 5979?\nAnswer: 7752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 5. What is the second derivative of -x*s - s**5 - 3*s**5 + s**5 + s wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 590*t = 574*t - 256 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*g**3 - 41*g + 42*g - 36*g + 35*g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 319 - 319.72. Let c = y + -0.28. What is the nearest to -7 in c, -1\/5, 2\/43, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3668*o*u**4 + o*u**2 + 21*o + 11*u**2 wrt u.\nAnswer: -88032*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 2*f = 56, 3*n - 39 = 6*n - 3*f + 27 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 5. Suppose -2*j + j = v. Solve j*c = 3*c - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27.37 + -21.37. Which is the nearest to f?  (a) -2  (b) 5  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 7:19 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 14*r**3 - 2*r**2 + 17*r - 11. Let f(g) = 5*g**3 - g**2 + 6*g - 4. Give -4*d(w) + 11*f(w).\nAnswer: -w**3 - 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 0, 3*p + 10 = -3*f - 2. Let s = 8 - 23. Which is bigger: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -4*l**2 - 4*l - 6. Suppose 454*z - g + 15 = 450*z, 20 = -4*g. Let b(x) = -5*x**2 - 4*x - 7. Determine z*b(q) + 6*c(q).\nAnswer: q**2 - 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -903\/3287 - -2\/173. Is v bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -5*k**3 - 4*k**2 + k + 1. Let u(r) = r**3 + r**2 - 1. Determine t(b) + 4*u(b).\nAnswer: -b**3 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -4 + 6 - (-43)\/((-559)\/104)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -13*(-15)\/(75075\/70)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 491, 990, 1477, 1952, 2415, 2866?\nAnswer: 3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22.19518 - -357.97414. Let g = 366.1693229 - d. Let u = g + 14. Round u to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 4*f - 10. What is m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l + 7. Let v be o(6). Which is greater: 2\/19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -203700000 rounded to the nearest 1000000?\nAnswer: -204000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 0*l**3 + 4*l**2 - 1\/20*l**5 + 0 + 0*l - 5\/24*l**4. What is the second derivative of v(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239624 is divided by 1150.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - 4*z + 13, 3*z - 16 = -z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 22046536 divided by 19\nAnswer: 1160344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 447241943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*a + 10*a = 31*a. Let f(w) be the first derivative of -5 - 1\/5*w**3 + a*w**2 + 3\/5*w. Let f(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6242aa (base 13) in base 12?\nAnswer: -92776a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**5 + 220*r**4 + 240*r**3 - 650*r**2 - 1115*r - 450.\nAnswer: -5*(r - 45)*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 78569880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.06422 - -3.93578. Let n = 0.3 + -0.2. Which is the biggest value?  (a) 2  (b) -4  (c) i  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 - 32. Let v be (-2 - 1) + (-72)\/q. Let z = v - -68. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 9*h + 7. What are the prime factors of n(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*z - 0. Let j = -4 + z. Let m be j\/((-5)\/(-2) - 2). What is the third biggest value in m, 1, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(405) + -3)*2 + -2 + -2)**2.\nAnswer: -1152*sqrt(5) + 6736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 304 - 2504 - 1934 = -271*z + 7248 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqrzqmc. Give prob of picking 1 m and 1 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - 14*y + 20. Let v be u(-15). Suppose 414 = -z + 419. Solve 0*f = 5*f + 3*g + 10, v*f = -2*g - z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -2, -25, -4 in descending order.\nAnswer: 1, -2, -3, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(9\/5))**16 assuming g is positive.\nAnswer: g**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -179*r - 765. What is c(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -18, -26, -36, -48, -62, -78?\n\"Answer: -x**2 - 5*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k - 5. Suppose 0 = z - 5*v + 6, -8 = 4*v - 20. Calculate the smallest common multiple of y(z) and 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + 68 - 2*j**3 + 5*j - 3*j**2 - 25 - 20 to c*j**3 + l + v*j**2 + o*j and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**2 + v - 1. Let a be x(1). Suppose a*f - 243 = -0*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.601 in 64, -0.2, -1, -2\/7, 0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 8:53 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8222 - 16443 + 8217 - 32*c.\nAnswer: -32*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 48*s**4 + 2*s**3 - 28*s**2 - s.\nAnswer: 1152*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2137488 and 237.\nAnswer: 168861552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -1908.222351?\nAnswer: 1902.222351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 2*m = -2, 5*u - 10 = -5*m - 25 + 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k + 16. Let p be q(-7). Factor 9*j - 2*j - j + 3*j**3 + 12*j**p + 3*j.\nAnswer: 3*j*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, -11, -10, 527, -0.21, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 2*o = -17 - 5, -4*h + 6 = -2*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 88093*i + 1563. Let k be o(9). What is k rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(2\/7)*d*d**(-1\/13))\/(d**16*d*d*d**(-6)) assuming d is positive.\nAnswer: d**(-943\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 442 - 438 = 4*j, -2*a = j - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g + 57 = 15*g. Differentiate 2 + 66 - 228*z**2 + 92 + g wrt z.\nAnswer: -456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 149691095.\nAnswer: 5, 31, 965749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 2*c**3 + 8 - 3 - 3*c - 2 - 2*c**4 in the form h*c**3 + r*c + t*c**4 + i + g*c**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 15) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1006479*p - 6335738 wrt p.\nAnswer: -1006479","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) -1\/3  (c) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 1 = 3*p. Let g(t) = -2*t**3 - 3*t**2 - t - 2. Let m be g(p). Suppose 0 = -m*f + f + 81. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.496 + -0.48963. Round m to 4 dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s**5\/2 - 393*s**4 - 297*s**3\/2 + 393*s**2 + 156*s = 0. What is s?\nAnswer: -52, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 49887 divided by -16\nAnswer: -49887\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 727176 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t + 6. Suppose -4*a + 10 = a. Let z be v(a). Factor z*o**2 - 5*o**2 + 0*o**2 + 0*o**2 - 10*o.\nAnswer: -5*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - (-8)\/4) + 6 + 248. Suppose r*q - 259*q = -2088. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 + 58 = 2*y. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -26*g**2 - 9*g + 5. Let n(b) = 20*b**2 + 12*b - 4. Give 3*h(p) + 4*n(p).\nAnswer: 2*p**2 + 21*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 - 7 + 5*n**4 - 2*n**4 + 3*n**4 - 3*n**4 + (-n**2 + n**2 + n**3)*(0*n - 2*n + 0*n) - 5*n**4 - 54*n**4 + 17*n**4.\nAnswer: -41*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3801*a - 3863*a = -4402 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 9 + 17 = 0. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -100 - (-798 + 813).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -8*r**6\/3 + 7*r**2\/2 - 7. What is the second derivative of b(j) wrt j?\nAnswer: -320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*u - 7*u + 4*a, -a = -4*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*l - 15651 - 24939 = 0. Calculate the greatest common factor of 50 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 25 = -5*v, 0 = -2*r + v + 230 - 237. Put -2, 102, r in increasing order.\nAnswer: r, -2, 102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 390 = -4*h + 6*h. Let d(r) = -194*r - 931. Let g be d(-5). What is the highest common factor of h and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 x when four letters picked without replacement from pxpxsxxgpnpnswwns?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.6 + 6. Let p be -3 + (-4 - -1)*-1. Which is the closest to -0.1?  (a) p  (b) 0.5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2669191 is divided by 33787?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**4\/5 + 1331*s**3\/5 - 2317*s**2\/5.\nAnswer: -s**2*(s - 331)*(4*s - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*n**3 - 29*n**3 - 76*n**3.\nAnswer: -91*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 112, 135, 184, 271, 408, 607, 880?\n\"Answer: 2*m**3 + m**2 + 6*m + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -c**8\/56 - c**4\/12 + 2*c + 2. Let a(p) be the first derivative of n(p). Find the third derivative of a(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 62?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 4)*(-9*r + 2*r + r) + 6*r - 3*r - r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -7*s + 2. Let a(k) = 34*k - 10. Suppose -1089 - 220 = 75*t + 44*t. Determine t*m(w) - 2*a(w).\nAnswer: 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/13 + 4688*x\/13 + 563118\/13.\nAnswer: 2*(x + 127)*(x + 2217)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 7*l - 6. Let y be h(-8). Let p(w) = -2*w + 7 + 12*w**2 - 8*w**2 - 5*w**y. Determine p(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 33, 62, 89, 114, 137, 158?\n\"Answer: -r**2 + 32*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2853 - 2810.82. Let v = -41 + q. Round v to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22256)\/(-7) - 4\/(-7) - -2. Suppose 28*l + 9*l - p = 0. Solve 87*g = l*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q - g = -14*q - 2, 10 = -2*q + 5*g. Find j such that 0 + 0*j**2 + q*j**4 - 3\/2*j**3 + 3\/4*j + 3\/4*j**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*3 - (-21 + 27 + -3324). Is 3326 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 276 - 274. Solve 3*r - 19 = 2*y, -3*y = -g*y + 3*r - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -991 (base 13) to base 6.\nAnswer: -11331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-267337)\/6*3\/(-21). Let w = h + -6382. Calculate the common denominator of w and -7\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.58963 - -86.57403. Let y = -277 + 192. Let z = d + y. What is z rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-184)\/230)\/(432\/900)*(-1 - (-17 + -2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {p: 1, o: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -9608\nAnswer: 1\/4804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (8\/72)\/(1\/(-3))*-15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 389*d - 378*d - 110 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the third derivative of -17*c**6\/10 - c**5\/60 + 229*c**4\/24 + 82*c**2. What is the third derivative of v(p) wrt p?\nAnswer: -1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 4. Let b(x) = -21*x**2 + x - 17. Let q(m) = 5*m**2 + 4. Let u(c) = -2*b(c) - 9*q(c). Let a(r) = -8*r**2 - 5*r - 5. Determine p*a(y) - 11*u(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {m: 7, d: 5, i: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -18, 9, 4 in increasing order.\nAnswer: -18, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*j - 13*j + 20 = 0, -4*v + 4*j = 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 142 a factor of 4828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1786 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(w) be the third derivative of -5\/12*w**4 - 168*w**2 + 0 + 7\/3*w**3 - 1\/60*w**5 + 0*w. Calculate p(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3023542 (base 6) to base 9\nAnswer: 237648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 551234 is divided by 733.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.341 times -46?\nAnswer: 15.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5558b + -4?\nAnswer: 55587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 512*k - 40. Let o be j(5). Suppose l - 22*l = -o. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + -10. Let w = z + 16. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 10*o**2 - 2*o + 2. Let t(r) be the second derivative of r**4\/12 + 25*r - 162. Give -l(a) + 8*t(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3371 and -1?\nAnswer: -3371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 - 84222*h.\nAnswer: -3*h*(h + 28074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/sqrt(6)*2)\/(2*sqrt(80)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 3*g + 5. Let d(h) = h**2 + 16*h + 5. Let j(f) = -f - 16. Let w be j(0). Calculate the least common multiple of c(0) and d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6416 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3012, 3896, 4782, 5670, 6560?\n\"Answer: t**2 + 881*t + 2130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/9, -2\/53, -3\/148, -71\/3 in decreasing order.\nAnswer: 4, -3\/148, -2\/53, -2\/9, -71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -7*u + 43. Suppose -24*q + u*q + 65 = 0. Suppose 0 = -q*m - 53 + 188. What is the remainder when 76 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + 11. Let s be (-6)\/(-24) - (-15)\/b. Suppose -5*l - 20 = 0, s*d + 0*d = -2*l + 8. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(-35) - (29\/5 + 1). What is the units digit of (14\/t)\/((-219)\/(-222) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -44322852*j**3 - 5*j**2 - 8696649.\nAnswer: -265937112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 145, 1\/4, 29\/10, -0.1?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 396073961 to the power of 1\/2, to the nearest integer?\nAnswer: 19902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -69*v**3 - 6*v**2 + 12. Let h(j) = 139*j**3 + 11*j**2 - 22. Give 6*h(u) + 11*k(u).\nAnswer: 75*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (20\/(-9))\/(-2)*1332\/(-555). Which is the nearest to 0?  (a) -0.9  (b) -0.4  (c) -0.2  (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*k - k + 5*a = 9*k + 110, a - 16 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1462 and 9546.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66812670 divided by -2370.\nAnswer: -28191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 70, -21482 in descending order.\nAnswer: 70, -12, -21482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -9. Let f(h) = -h**2 + 1. Let w(l) = -l**2 + 3*l - 1. Let g(x) = -3*f(x) + w(x). Let q be g(v). Calculate the greatest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from juuiswsp. Give prob of picking 2 u and 2 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 PM and 9:33 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 30\/6 - 33*1\/3. Let o(u) = u**3 + 6*u**2 - 2*u - 18. Give o(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-39)\/(-507)*1365)\/(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4 + 16*f**3 + 4*f**2 - 160*f - 150.\nAnswer: 2*(f - 3)*(f + 1)*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 207375 (base 9) to base 16.\nAnswer: 1e278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14985, 14978, 14967, 14952, 14933?\nAnswer: 14910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5593158 by -27.\nAnswer: -207154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1359981 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*y - 105 + 105 in the form d + p*y and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 - 31\/((-589)\/1026).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.028  (b) -2  (c) -3  (d) -0.003  (e) -0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 80 - 243 = 0. Let h = g - -324. Solve -l + h = -0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8609353095 to the nearest 100000.\nAnswer: 8609400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v = -4*v - 6. Let b be 58\/8 + 21\/28. Let q be 20\/b - (-3)\/6. Do v and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d - 3. Let j be z(-4). Let i(o) be the second derivative of 2*o**3\/3 + o**2\/2 + 5*o. What is the units digit of i(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -127\/346248 and -127\/840.\nAnswer: 1731240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -486256.\nAnswer: -7\/486256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n**3 - 4*n**2 - 3*n + 5. Let s be m(3). Calculate the greatest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -5*d**4 + 162745*d**3 + 11245275*d**2 + 258762995*d + 1984316030 = 0?\nAnswer: -23, 32618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5*l**2 + 18*l + 1. Let h be s(-8). Let d be (-5)\/10 - h\/(-2). Calculate the greatest common divisor of 44 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/63*7*(-5)\/(-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 41574*s**4 + 734 - 72210*s**4 + 35072*s**4 - 9578 wrt s?\nAnswer: 17744*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -784 - -776 - (2 + 1 + -1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12778 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 49 + 14 + 405*k + 13.\nAnswer: 405*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 315 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g**3 + g - 1. Suppose 2*x = 4*w + 24, 1 = x - w - 6. Let b = 52 - 50. Suppose -3*i + 2*m = -3, 0*i - x*i + b = -m. Determine a(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of 5*y**4\/12 - y**3\/6 + 3*y. Is 6 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96946 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: Suppose 18 = w + 2*w. What is the highest common factor of 24 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1\/m*m**(1\/4))**(-4\/9))**(-4) assuming m is positive.\nAnswer: m**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*x - 17*x + 15, -2*g + 11 = x. Solve -g*o = 4*s + 16, -23*s = -18*s - o - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.06  (b) -46  (c) 1\/3  (d) 0.1  (e) 0.226\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.411348 rounded to two decimal places?\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0.1, 0.5, -0.1, 0.066 in ascending order.\nAnswer: -0.1, 0.066, 0.1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 3*x - 24 = -6*x, -l + 5*x - 16 = 0. Is l\/14 + (-9428)\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 5, 2365?\nAnswer: 2365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1317814794 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -672.892 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 1)*28\/8 + 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**2\/3 - 2192*k\/3 + 458030\/3 = 0. What is k?\nAnswer: 281, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 80335431 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05677759755 to 6 dps.\nAnswer: 0.056778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 26721621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.189214225 to four decimal places.\nAnswer: 5.1892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -253466.9 and -1.\nAnswer: 253466.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 5*m**3 - 1 + m + 0*m + m**3. Let b be a(1). Is 4039\/49 + b\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -11*l + 9. Let p(w) be the first derivative of -5*w**2 + 8*w - 30. Suppose -v + 3*r + 9 = 0, -2*v + 5*r - 2 = 3*r. What is v*b(j) + 7*p(j)?\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72078\/13, -4\/3, -2\/3 in decreasing order.\nAnswer: -2\/3, -4\/3, -72078\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1729 - 0.1\nAnswer: -1729.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3378 by -1126.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 37, -0.51, 0.2, 0.7?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5347 + -5346.8. Sort 0, 1, l, 0.17, -5.\nAnswer: -5, 0, 0.17, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25a32c (base 13) in base 16?\nAnswer: -dda82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 544 + -789. Let c = 96605139 - 96604893.998807. Let l = c + h. Round l to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181613 is divided by 3185?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.64 + -0.726. Let u = 1 - 1.08. Let c = p - u. What is c rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {f: 6, d: 4, u: 3, v: 1, p: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*30\/25 - (-12)\/(-3). Let w = 0.4 + -1.1. Let o = w - -1.1. Put p, 3\/2, 0, o in descending order.\nAnswer: p, 3\/2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -0*n - 4*n + 22, -4*f + 4*n - 12 = 0. Suppose z + f = 3*j, 3*j + 5*z - 6 = 2*z. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2 - 59*q + 32. Suppose 0*a - 4*w - 45 = -3*a, -3*a - 4*w = -45. Calculate the remainder when n(a) is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2343, -4974, -7605?\n\"Answer: -2631*m + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3004)\/2253*2\/8*-87\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 22.8  (b) 4  (c) 0.4  (d) -2\/51  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -127 - 2?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*h - 120. Suppose 4*x - h - 36 = 0. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 4:38 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 498141 is divided by 5355?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**6\/840 + 3*m**5\/20 + 63*m**4\/8 + 441*m**3\/2 - 101*m**2. Factor d(v).\nAnswer: (v + 21)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -5. Let i(r) = -159*r - 178. Let x be (-13 + 1207\/85)\/((-1)\/5). Let j(b) = x*c(b) - i(b). Differentiate j(u) wrt u.\nAnswer: 159","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62a (base 16) to base 4.\nAnswer: -120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 3*h + 16. Suppose 4*j = 25 + 11. Let t(z) = -z + 15. Let v be t(j). Calculate the greatest common divisor of v and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6418*i - 7121*i - 2143*i + 128*i to m + b*i and give b.\nAnswer: -15554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63 - (29 + 14)) + (2 - 7 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 2*g**3 + 2*g**2 - 4*g - 3. Give f(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80235 + 18495 = -49*o. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 7*q. Let p be y(7). Let x(v) = 3*v + 11. Let b(d) = -d - 4. Let t(a) = -7*b(a) - 2*x(a). Calculate t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 1:32 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 + y. Let m be 1601\/13 - 2\/13. Let k = m + -119. Does 8 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b (base 16) to base 5.\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**11\/748440 - s**10\/226800 - s**9\/272160 - s**5\/60 + 3*s**2. Let j(h) be the third derivative of p(h). Factor j(x).\nAnswer: -2*x**3*(x + 1)*(2*x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 862 * 25042.5.\nAnswer: 21586635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*l = -77*l - 344 - 952 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6265865109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -125*p**2 + 239*p**2 + 280*p**2 - 28*p**2 + (0*p - 4*p + 2*p)*(3*p + 0*p - p).\nAnswer: 362*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + r + 5*i - 20 = 0, 9 = 4*r - 3*i. Suppose -w = -r*w + 4. Suppose -w*q + 24 = 2*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 149 + 34 = 0. Let n = j + -55. Let c(p) = -p**3 - 2*p**2 - p + 25. What is the remainder when c(0) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**2 - 8*g + 11. Let n be i(-6). Let o = 70 + n. What is the greatest common divisor of 95 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o + 6*o + 4*o. Let s be (-6 - 256\/(-12))*(-33)\/(-2). Suppose s*a = 256*a + 3. Calculate q(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 23. Let w(y) = -10 - 12*y - 3*y**2 + 10*y**2 + y**3 - 5 + 5. What is the lowest common multiple of h and w(-8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/17643622 and 44?\nAnswer: 17643622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 0 = 10. Suppose -2*w + 61 = f*w - 3*r, w - 22 = 3*r. Calculate the greatest common divisor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 5*h**2 - 6*h + 6. Let f be x(6). Suppose -2*l + 15 = 3*l. Suppose -3*c - 2*p + 12 = -p, l*c - 5*p = -f. Let q(t) = t + 3. Determine q(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1470 by 21.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -5569*1.1\nAnswer: -6125.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -159253 - -159443. Suppose -20 = -3*w - w. What is the greatest common factor of w and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*b - 752 + 178553 = 0. What is the remainder when b is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-443)\/24365*(-3 + 43)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -g - 8, 3*o + 1 = 2*g + 32. Let t = -8 - g. Suppose t*i = 73 + 362. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-4 + sqrt(38)\/sqrt(2)) + -5 - (sqrt(19) + -4 + sqrt(2299) + sqrt(2299) + sqrt(19) + -5*sqrt(114)\/sqrt(6))) + 5.\nAnswer: -21*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-5))\/(2\/(-25)). Let v be (12\/20)\/(2\/m). Suppose -4*j + 4 = -2*j + g, v*j + 20 = 5*g. Solve 5*d - 3*d - 2 = j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(28) + -5 - (sqrt(28) + 3)) + 3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 41*j**2 + 3*j - 7*j**4 - 41*j**2 wrt j?\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -42, 5, -8682258 in decreasing order.\nAnswer: 5, -42, -8682258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*f + 24*f**2 + 7*f - 109*f - 6 - 26*f**2 + 10*f.\nAnswer: -2*f**2 - 154*f - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, -4\/3, -3, 13\/147, -1, 2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) -8  (c) -5  (d) -2.4  (e) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -457*k + 35012 - 993690 = -28837*k + 658982 for k.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -117*d**2 + 11*d + 36. Let f(b) = 24*b**2 - 2*b - 7. Determine 2*c(r) + 11*f(r).\nAnswer: 30*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-4)*4\/(-6). Suppose 0 = 2*r - r + g. Suppose 63 - 51 = 3*l. Put -5, 2, l, r in ascending order.\nAnswer: -5, r, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 98 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -12*h + 16. Is i(-2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/5 + 178*p**2 + 32279*p\/5 + 17760.\nAnswer: -(p - 925)*(p + 3)*(p + 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 754274968 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/1784342 and -63\/16.\nAnswer: 14274736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v + 14. Let m be r(6). Let z = -1 + m. Let q(w) = 5*w**2 + 1. Determine q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2491 + -27391\/11. Which is smaller: -13 or n?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2*k + 578 = 0, -3*k + 613 = 3*p + 2*k. Let i(a) = 113*a + 114*a - 227*a - p*a**2. Let c(d) = d**2. Determine c(i(q)).\nAnswer: 38416*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16604.\nAnswer: 2, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2649791727 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(104\/(-26)*1\/((-1)\/(-2)))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -265 >= -265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2489 - -2737. Solve g = f + 243 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w*w**(-1\/14)\/w*w)\/w)*w**22*w assuming w is positive.\nAnswer: w**(337\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-76)\/(5776\/2090)*((-72)\/(-33))\/2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33198850, 265590775, 896368854, 2124726163, 4149855778, 7170950775, 11387204230?\nAnswer: 16997809219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 13) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26705 and 327.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6112 divided by 382?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + -1241 + (-12)\/(-4). Let u(g) = -85*g**2 - 3*g + 6. Let s be u(3). Let t = s - c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) - (sqrt(110)*-2 + sqrt(110)))*2)\/(3*sqrt(1440) + sqrt(1440) + sqrt(1440)).\nAnswer: sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -3 - (-3 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3 + 15*u + 7*u**2 - 7*u**5 - 9*u + 2 + 4*u**5 wrt u?\nAnswer: -60*u**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-2)*1*(-45)\/36.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1*-2*sqrt(153) + 0 + -2 + sqrt(153) - ((sqrt(153) + 1 - sqrt(153)) + -4 + sqrt(153) + sqrt(153) + -2 + 4 + sqrt(153)))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -104*v**3 + 5*v**2 + 3*v + 9. What is the smallest common multiple of 216 and z(-2)?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 + 6)*(-78)\/130?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.3, -30, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.7 + -0.3. Which is the nearest to 0.1?  (a) -4  (b) -0.3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 799 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -204*m - 4324. Give x(-20).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14843, -59369, -133587, -237503, -371123?\nAnswer: -534453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*s + 21*s - 45*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 17*t**2 - 11*t - 30. Let y be q(-7). Does 8 divide 3*(y\/(-3))\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 divided by -2169?\nAnswer: 8\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**2 - p**2 + 0*p**2)*(395*p**2 - 1275654 + 373*p**2 + 1275654).\nAnswer: -1536*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 9*f + 10. Suppose c - 4*w - 264 = 0, -f*c + w = -7*c + 501. Calculate the greatest common factor of 36 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.9285 tonnes to micrograms.\nAnswer: 59928500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**2*u**2*y + h**2*u**2 + 133*h**2*u*y**2 + 5*u**2*y**2 - 340*u**2*y - 388*u - 50*y**2 wrt y?\nAnswer: 266*h**2*u + 10*u**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 182829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4335\/19 + 7729229\/33877. Let h = x - -126617\/10698. Find the common denominator of h and (-35)\/120*(-6)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4603944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 5*k - 12. Let p be d(-7). Suppose -p*c = 3*c - 15. Solve -2*g = -c*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 2*s - 15. Suppose -q - j + 18 = -6*j, -4*q + 38 = -s*j. What is the highest common factor of 20 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 582*o*s**2 + 3*o*s + 224*o + 1739*s**2 - 12*s - 1 wrt s?\nAnswer: 1164*o + 3478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 131.13 - 132. Let y = w - -5.87. What is the fourth biggest value in -0.3, y, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4.5, -0.5, -2585\/6871?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 8:33 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -2. Suppose f*l = -2*l + 52. Calculate the remainder when 37 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 46573\/23 + -2025. Which is the closest to q?  (a) 4  (b) -1  (c) 1\/6  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.73 + -125.94. Let z = j - -120. Let o = z - -0.21. Put 0.1, o, -1 in ascending order.\nAnswer: -1, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 4*h**5 + 41568*h**4 - 59449936*h**3 = 0?\nAnswer: -11666, 0, 1274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1903 is divided by 161?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 594 + -412. Suppose 2*b - n = -52. Suppose 6*h - b = h. Calculate the remainder when 38 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 62 + -65. Let j = -415 - -415. Which is the fourth smallest value?  (a) k  (b) j  (c) 7  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(-4)*((-2287)\/6 + 150\/(-180)) is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 0. Let n be 0 - 0\/(3 + -2). Sort 1, n, l in ascending order.\nAnswer: l, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/2*(-3 - 376\/(-40)). Is v bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 11. Suppose 0 = v + p*x - 44, 0 = 2*v - 0*x + x - 106. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 56556609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -4*m - 8. Let c(p) = p**2 + 9*p + 17. Let g(u) = 2*c(u) + 5*n(u). Does 15 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 229670847.1 rounded to the nearest 10000?\nAnswer: 229670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 34*r + 3*r = -3924. Calculate the lowest common multiple of 763 and r.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*x + 24*x - 5*j - 50 = 0, 0 = -4*x + 5*j + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*i + 0*i + 69*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1586 - 1131. Suppose -3*v - 88 = 2*g - x, 5 = g. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -213*o + 195*o + 174 + 6 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 144077 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = 4*l - 5*l + 2*c, -4*c - 40 = -l. Let h(a) = -8*a - 8. Let p be h(-7). Suppose -6*y = -9*y + p. Calculate the remainder when l is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2431909 rounded to 4 decimal places?\nAnswer: -0.2432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 226033 (base 10) to base 11\nAnswer: 144905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1139847075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-7)*p**2*p)**(1\/5) assuming p is positive.\nAnswer: p**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 33*x + 415 - 118 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 - -37. Let i = -12 + 18. Suppose -7*v + i*v = -q. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-5)*1665\/444.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.074 + 12.274. Which is the fifth smallest value?  (a) -4  (b) v  (c) 6  (d) 6\/23  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38079 is divided by 170?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 361338413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 966 and 128803542.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1. Suppose g = -a - 2. Let j(t) = -20*t - 3. Is j(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24.07166 kilograms to milligrams.\nAnswer: 24071660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -129 - -115. Sort 1, -4, -5, m in descending order.\nAnswer: 1, -4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**5\/45 + x**4\/27 - 4*x**3\/27 - 3*x. Factor w(j).\nAnswer: 4*j*(j - 1)*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -4*c - 57, 0*z = 3*c + 4*z + 4. Put 2, c, -5 in descending order.\nAnswer: 2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 14*u**2 - 42*u + 347. Determine h(15).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 103 + -100. Let t(o) = -6 - 2*o**2 - o**q + 6*o - 4*o**2 - 3*o**2 + 6*o**2. Calculate t(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 17, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 56 - 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/44)\/(6\/(-22))*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(5 + sqrt(1377)*1))**2*3 + (sqrt(1377) + 1 + 2)**2 + (-2*-4*sqrt(1377))**2.\nAnswer: 9774*sqrt(17) + 240930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-30))\/((-12)\/(-40)). Let t be (j\/24 - 2\/(-3))*0. Solve -15 = -t*h + 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p - 1. Let h(z) = -4*z. Let m(f) = -h(f) - 2*y(f). Let j be m(-2). What is the second biggest value in j, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -56?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.5 - 0.3. Let j = 0.21 - 3.21. Which is the closest to 1?  (a) i  (b) j  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -348*a - 341*a + 698*a - 27. Suppose 0 = 2*n + 2 + 2, 3*u = -2*n - 4. Solve y - a*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**10\/d)\/d*d**(-3)\/d)**(-40)\/(d**6*d*d**(-3\/4)\/d*d*(d**1)**12) assuming d is positive.\nAnswer: d**(-873\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-8) - (2\/8 + -3). Suppose 24 = f*x - 3*t, 2 + 2 = -4*x - 5*t. Solve k + k - x = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49 + -53. Suppose -10 + 3 = -h. Let g = i + h. Calculate the lowest common multiple of 7 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7394*u**3 + 7392*u**3 + 7399*u**3 - 22186*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 - 4. Solve -5*v + s = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -671*x - 163 + 165 + 671*x - 24*x**2.\nAnswer: -24*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000035 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 11:20 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*v + 6*v. Suppose 0 = 4*x - 11 - 5. Let f = x - v. Solve f = c + 2*p - 3*p, -6 = -c + 4*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 865723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*r + 10*r - 2*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -534160 (base 10) in base 12?\nAnswer: -219154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 10. Suppose 0 = -3*m + s*n + 29, -m + 0*n - 3*n = -5. Let a(b) = 2*b**2 + b + 1. Let t be a(-3). What is the greatest common divisor of m and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 5*g**2 + 5*g - 1. Let c be q(4). Let z(a) = c*a - a - 3*a. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 12:34 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 8983*i - 81771. What is v(9)?\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 35 + 18*y**4 - 1 - 11*y**2 - 10*y**2 + 17*y**2 in the form l*y**2 + c*y + s*y**3 + u*y**4 + n and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -238 - -1 - (-100)\/10. Which is smaller: -909\/4 or d?\nAnswer: -909\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23096 - 23320 + n + 46428.\nAnswer: n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 - 2*x**2 + 8*x + 9. Let p be g(-4). Suppose 21 = -8*a + p*a. Solve 4*u + 0*u - 20 = -4*n, -3*n - 5*u = -a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1 + -1*sqrt(1300) + (-2*sqrt(143)*2)\/(sqrt(88)\/(sqrt(16)\/sqrt(2)) + sqrt(11)).\nAnswer: -12*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j**3 - j**3 + 5*j**3)*(-4*j**2 + j**2 + 4*j**2) + j**5 - j**3 + 8*j**3 - j**3.\nAnswer: 2*j**5 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.09  (b) 1\/11  (c) -1  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 368.991 - 369. Let g = u - 0.091. Which is the second biggest value?  (a) 7  (b) 8  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -74\/539 + -20\/49. Which is the third smallest value?  (a) -0.1  (b) x  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u*u\/u**1)\/u)**14\/(u**(4\/5))**(3\/11) assuming u is positive.\nAnswer: u**(758\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-7\/5))\/o*o*o*o**(-15) assuming o is positive.\nAnswer: o**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205711 is divided by 285.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-1\/4)\/u)\/(u**3*u))**49*((u\/(u\/u**(3\/5)*u)*u)\/u*u*u*(u\/(u*u**3\/u*u*u))\/u)\/(u*u**1)**(-2\/19) assuming u is positive.\nAnswer: u**(-98967\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2\/183*(-171)\/((-5814)\/102)\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134078863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 600473?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 447895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 11:42 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - (27 - (6 + 9))) + (1 - -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2713560 and 3391950.\nAnswer: 13567800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.067 + -0.445. Let r = -0.56 - u. Sort r, 0.2, 0.1 in increasing order.\nAnswer: r, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -15*b**3 - 14*b**2 - 2*b - 3. Let p(v) = v**3 - v**2 + 1. Give -o(c) - 3*p(c).\nAnswer: 12*c**3 + 17*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20342.\nAnswer: 2, 7, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -1. Let l = 4677 - 4665. Let t(h) = 2*h - 28. Give l*k(r) - t(r).\nAnswer: -2*r + 16","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 696.3 + -696.2. What is the closest to -0.08 in m, 0.03, -4, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15117*c**4 - 434*c**3 - 105*c**2 - 3681*c wrt c.\nAnswer: 362808*c - 2604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -12*n - 60. Let r be j(-23). Let g = 1946\/9 - r. Factor -2\/9*t + g*t**2 - 4\/9.\nAnswer: 2*(t - 2)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*2 + 31520\/150. Let b = -617\/3 + i. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) -67  (c) -1  (d) 66  (e) -2  (f) 2\/15  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14501866, -14501863, -14501860?\nAnswer: -14501857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1764 - -9895. Is 89 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 4*n - 3*n)*(2 - 1 + 0) + (7 + 2 + 1)*(-2*n + 0*n + 4*n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 5*n - 39, 0*a - 51 = -5*n - 3*a. Let q = 24 - 25. Let u = q + 10. What is the lowest common multiple of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*i**4 + 18*i**4 + 0 + 33 + 5*i**4 with respect to i.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/37 and -29\/333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -3, 5, -676, 2, 82 in ascending order.\nAnswer: -676, -3, 2, 5, 9, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1706, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.6316518 years?\nAnswer: 0.0006316518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3711, -7417, -11123, -14829, -18535, -22241?\nAnswer: -25947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -20.5 + 20.4. What is the nearest to 5 in -5, w, -0.5, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15188, 29452, 43716?\nAnswer: 57980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j + 10. Let t be h(8). Let r be 2 + -4*(-3)\/t. Is 8 a factor of -29*(r + -1) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**2 - 2*l + 8. Let m(h) = 8*h**2 - 6*h + 23. Let z = -417 - -423. Calculate z*m(k) - 17*w(k).\nAnswer: -3*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/7 + (-8 - -6). Let a be 6 + -10 - (-70)\/17. Suppose 2*x = 4*y + 2, 16*x - 21*x - 7 = -4*y. What is the fourth smallest value in y, i, -0.2, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 71708 divided by 95\nAnswer: 71708\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 20 = -5*a. Let w = 19 + a. Suppose -2*z = 2*z - w. Solve 0 = 2*q + 2*o + 3*o - 15, 3*q + 2*o - z = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-174)\/(-1) - (9 - 10)\/1*5. Solve o - 167 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((g**(7\/6)*g)\/g)\/g)\/(g\/g**2))\/(g**(2\/11)*g\/g**(-2)))**(-30))**(3\/13) assuming g is positive.\nAnswer: g**(1995\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 24\/(-10))\/(37\/((-2220)\/18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -2*z + b, 4*b - 80 = -14*z + 10*z. What is the remainder when 56 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 4:47 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (u + 3*u - 5*u)*(-142*u - 101*u - 420*u) to f + j*u + k*u**2 and give k.\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*d**6 + 4*d**4 + 4*d**2 - 583 wrt d?\nAnswer: -5520*d**3 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4 + 4*r**3 - 4 + 8*r + 45*r**2 - 33*r**2.\nAnswer: 4*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -375*i**2\/2 - 1721*i + 492. What is the first derivative of z(b) wrt b?\nAnswer: -375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 540520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 16 - (22 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-33)\/(-18) - (-1)\/6. Suppose 5*k + 7 = -4*v + 51, -b = -3*v + 4*k. Suppose 2*c - v = -0*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + -10 + 21 - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/2, -0.02, -21\/22, -2\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 139 = 3*o - 11. Suppose 0 = -3*w + o + 25. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 65*y**4\/21 - 244*y**3\/7 + 144*y**2 - 4*y - 97. Factor j(k).\nAnswer: 4*(5*k - 12)*(13*k - 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120, -122, -124, -126, -128?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 9530 = 18*w. List the prime factors of w.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 14) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jku when three letters picked without replacement from {u: 4, k: 4, j: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 80212 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 at least as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 447*c**3 - 145*c**3 - 154*c**3 - 140*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 7 + 1 + 4*t - 4 + t. Calculate the remainder when 56 is divided by l(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 256*j*s + 2181*j - 2*s wrt s.\nAnswer: 256*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 351 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 169\/(-19) - (-4011)\/(-382)*8\/798?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {h: 7, s: 11, w: 2}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15180 - 7589 - 7624 - 37*r to q*r + v and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4531 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 18. Suppose 0 = 25*s - 728 + 303. Calculate the remainder when s is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 155 + -60. Let k = w + -5. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*z + 6*r - 20, -18 = 3*z - 5*r. Solve s - 2*s - z*x = 21, 0 = x + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**2 + 3*r + r**2 + 0*r**2 - 1021*r**3 - 155*r**3.\nAnswer: -1176*r**3 - 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.07  (b) 8  (c) 4  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1570 + 4763 - 1592 + 4*u - 1601.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164*q + 148*q + 164*q - 436*q.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/2)\/((-11)\/1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4950 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55805891?\nAnswer: 55805891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 473*g**3*x*y + g**3*y + 270*g**3 + g**2*x*y + 17*g**2 + 2*g*x + g*y + g + 31*x*y wrt g.\nAnswer: 2838*x*y + 6*y + 1620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of -b**4\/42 - 23*b**3\/21 - 22*b**2\/7 - 208*b. Suppose c(z) = 0. What is z?\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x**3 - 48*x**3 + 50*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 107 + -98. What is the second derivative of -6*q - 11*q + 8*q + h*q**2 - 35*q wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 41. Suppose -g + 1 = -3*n - 4*a, -a = -n - 6. Is n + (-4)\/(-4)*54 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*r**2 - 25*r**2 - 29*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**4\/5 + 6*k**2\/5 - 8*k\/5 + 3\/5.\nAnswer: -(k - 1)**3*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002686 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3 = -b, 2*b - 4*g - 3 + 1 = 0. What is the least common multiple of b and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 6*t + 826. Let l = t + 126. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6938?\nAnswer: 2, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((72\/(-8))\/(-198))\/(2\/8)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 5 - 11. Suppose 3 = 2*s - 1. Suppose 0 = 2*a + 2*b, a + s = -4*b - 13. Solve -d - a = -2*g + l*g, 0 = -5*d + 3*g + 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -25565 + 49?\nAnswer: -25517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/7, -1.1, 0, -57, -5, -65?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 109  (b) 0.5  (c) -2  (d) -2\/19  (e) 2\/3  (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2550 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (26*10\/(-50))\/((-13)\/(-65))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*((-14)\/(-6) - 2). What is the common denominator of 1 + b*(-345)\/54 and 63\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 300*y**2 - 2245185 wrt y?\nAnswer: 600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -684 - 181*k**2 + 867 - 808 wrt k.\nAnswer: -362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -173 (base 10) in base 4?\nAnswer: -2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, -5, 835, 0, 2\/17, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 8:07 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 12:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the first derivative of c**4\/4 - c**2\/2 + 4*c - 28. Determine v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 + 0*w**3 - w**3)*(2*w**2 + w**2 - w**2) + 2*w**5 - 4*w**5 + 0*w**5 + 2*w**2.\nAnswer: -10*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 364 * 5\nAnswer: 1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 4*r**2. Let f(x) be the second derivative of -x**4\/6 - 3*x. What is h(f(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 2:38 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*b = -w + 8, b = 3*w - 14. Suppose 2*d + 2 = 5*y, 4*y - 4*d + w = -2. Solve y*v - a = 0, -5*v = 3*a - 5*a + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3928 divided by -491?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 390*z**2 - 1. Let d(r) = -r - 483. What is d(k(n))?\nAnswer: -390*n**2 - 482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 2*s**2 - 3*s + 2. Suppose -2*h - 12 = 2*h. Let i be j(h). Let l = -6 - -25. Solve 3*c - l = -2*f, i*f = 6*f - 4*c + 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 120422336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c - 48*c + c)*((4 - 1 - 1)*(6 + 0 - 4) + 0 - 2 + 1) in the form k + x*c and give x.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*a**2*q**2*w + 5*a**2*q**2 + 56*a**2*w**2 - 29*a*q**2*w + 13*a*q + q*w**2 wrt a.\nAnswer: -6*q**2*w + 10*q**2 + 112*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 548 = -4*s, -5*s - d = 2*d - 653. Calculate the greatest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -147 - 0.209?\nAnswer: -147.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m. Let f(c) = -c - 7. Let o(z) = -f(z) - 2*n(z). Give o(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/73696 and 115\/11956.\nAnswer: 4495456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28276662.\nAnswer: 2, 3, 557, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/108 and ((-22)\/9504*-18)\/(78\/(-632)).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 71277, 142564, 213851, 285138, 356425?\n\"Answer: 71287*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -312, -1104, -1870, -2598, -3276, -3892, -4434?\n\"Answer: 2*w**3 + w**2 - 809*w + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4.2+-221.5\nAnswer: -225.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1162 and 830.\nAnswer: 5810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-22)\/6*(2 + -5). Find the third derivative of -10*h**2 + 2 + 0*h**4 - 2 + y*h**4 wrt h.\nAnswer: 264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15.346 - 15.846. What is the fourth biggest value in -1\/9, -9, -11, 10\/11, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 95*34\/(21318\/99)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -3 + sqrt(162) + 0 - -6*((-1 + sqrt(162))**2*3 + sqrt(162)))*-3*2*-6.\nAnswer: -9396*sqrt(2) + 105408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -8*o + 35. What is the third derivative of -63*s**5 + 4*s - 12*s - 5*s + 3*s**2 - 2*s**o wrt s?\nAnswer: -3780*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.0488407 and 1.\nAnswer: 1.0488407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 630.9753 + 0.0247. Let u = s + -631.1. Which is the nearest to u?  (a) 2\/5  (b) -2  (c) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2222 and 391248?\nAnswer: 39516048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 396592 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (70\/(-3))\/((-5)\/(-15)). Let z be (0 + -2)\/(4\/q). What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, t: 5}. What is prob of picking 3 t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*m**3 + 13*m**3 - 451*m**2 + 451*m**2 + 118*m**3.\nAnswer: 138*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (4 - 1)) + 1. Suppose -4*u = -5*b + 13, k = -5*b + u + u + 9. Solve 0 = d + b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**3 - 3222*h**2 - 2592096*h + 5197088 = 0 for h.\nAnswer: -1612, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*j - 370*z + 12 = 5*j - 373*z, 0 = 4*j - 3*z + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*a - 9*a = 4797 - 540 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1858340.\nAnswer: 2, 5, 11, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/(3\/18*1*(-33)\/(-5698)).\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 18 = -2*v + 796, -3*v - 4*a + 1189 = 0. List the prime factors of v.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00114618 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3683*l**3 + 3663*l**3 - 10946*l**3 + 3593*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -188\/9?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-154)\/(-104) + ((-6)\/(-12))\/((-34)\/85)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1102251360.5846398 - -1102250645. Let t = -673.58464 - i. Let s = t + -42. Round s to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8909386 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8600 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -26*m**2 - 6331*m + 3192. What is s(-244)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*h - 5*h + 9*h + 10*h + 56*h - h**2.\nAnswer: -h**2 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 36 = 3*y, 0*u - 2*u + 4*y + 40 = 0. Let n be (3 + -1)*u\/(-8). Let k = -108 - -108.1. What is the nearest to k in n, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6860*r + 6862*r = -3*q - 25, -5*q = -5*r - 25 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -20, -2*a + 0*o - o = -9456. Let y(r) = 4730 + 8*r - r - 5*r**2 - a. Let d(t) = -2*t**2. Give y(d(i)).\nAnswer: -20*i**4 - 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that 2*t**4\/15 + 242374*t**3\/15 - 242384*t**2\/15 - 969496*t\/15 + 323168\/5 = 0.\nAnswer: -121188, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + j - 3 = 3*i, 0 = -5*i - j - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2039 is divided by 550?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22743, 22942, 23145, 23352, 23563, 23778, 23997?\n\"Answer: 2*d**2 + 193*d + 22548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 76. Suppose i - 6*i = -g. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1132735 + -682244. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 5*b. Let k(j) = 16*j + 1. Let f(v) = -2*k(v) + 7*x(v). Let a = 7 + -4. Calculate the remainder when 11 is divided by f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eef when three letters picked without replacement from ffkvvseevv.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**3 - 10*h**2 + 14*h - 22. Let x be g(7). Suppose 4*a - 4*b = x, 3*a + b + 0*b - 208 = 0. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -10*p**5\/3 - 258*p**4 - 5786*p**3\/3 + 25330*p**2 - 70692*p + 57888 = 0.\nAnswer: -67, -18, 8\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 20 = 0, l - 2*j = -0*j + 21. Let k be (-57202)\/l - 14\/(-77). Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 35 = -0*x. Suppose x*a + 19 = 34. Suppose -2*c - q = -50, -3*c - a*q - 93 = -6*c. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - a**2 + 7*a**2 - 8 + 146 + 13*a**2 - 146 + (-2*a + 2*a - 2*a)*(-3*a + 2*a - 3*a) to the form d + m*a**2 + c*a and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.374  (b) 0.1  (c) 3589  (d) -5  (e) -2  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -0.3  (b) 3465.4  (c) 0.089  (d) -1  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 1. Let p be (-49)\/35 - 1*2\/(-5). Let i(g) = -5*g**2 + 2*g - 3. Determine p*i(j) - 4*c(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/2)\/(-6)*(-426)\/1207?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 - 4*y - 5. Let r be o(3). Which is the second biggest value?  (a) -3  (b) r  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, 7\/8, 8, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -5. Let a = 43 - 43.1. Put u, a, 0.3 in decreasing order.\nAnswer: 0.3, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3910 * 0.5.\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1054324*n**3*z**2 - 9*n**3*z - 2351*z wrt z?\nAnswer: 2108648*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 41 + 25 = 0. Solve 3*d + p*a - 32 = 0, 0 = -2*a + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -110, -224, -326, -410, -470, -500?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of 0*j**2 - 1\/72*j**4 + 0 - 1\/36*j**3 - 3*j. Suppose s(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -7 + 4 - 11\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 4 + 0 + 2 - (303 - 295)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 3. Suppose -8*v = -d*v - 815. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*16\/24*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) 3  (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w**2 - 11*w + 13. Let z(k) = -4*k**2 - 11*k + 14. Let q(y) = -5*m(y) + 4*z(y). Let a be q(9). Suppose 11*f = a*f + 574. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5255 + -6.096.\nAnswer: -5261.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1347054 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0  (b) -1\/2  (c) -3  (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/2780 and 29\/27088.\nAnswer: 18826160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 470154551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2627974 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - -358?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1580, 1796, 2010, 2222, 2432, 2640?\n\"Answer: -i**2 + 219*i + 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 60.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = s + y + 27, 4*s = -2*y - 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**3 + 3*u**2 - 4*u - 6. Calculate the remainder when 39 is divided by z(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 872796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 834 and 54?\nAnswer: 7506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -1037\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -5*b + 6. Calculate d(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((3*-5)\/3 + (-231)\/(-42))*6. What is the second biggest value in 2\/15, h, -4, 2\/69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 474574 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 246917 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4174*h + 4203*h - 1045589 + 77801. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23200 + 32890. Is n a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*g - g**4 - g**2 + 2*g**3 - 3 - g**3 - 12*g to the form b*g**3 + j + u*g**2 + f*g**4 + q*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-1))**(-49)*(j*j**(1\/3))**(-14\/15) assuming j is positive.\nAnswer: j**(-4466\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -497 in 0, 3\/7, 1501\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -61356?\nAnswer: -61363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5 + ((-2 + 2*sqrt(720))*5)**2)*6 + 1.\nAnswer: -86400*sqrt(5) + 2595781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -7 - -11) + (-12 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 43*u**2 + 38*u - 265. Let f be s(-44). Put -2, 9, f, -14 in decreasing order.\nAnswer: 9, f, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*m + 54, -4*m - 2*v = -133 - 7. Suppose -3*o = -3168 - m. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17916 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212749?\nAnswer: 41, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10255260.\nAnswer: 2, 3, 5, 170921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.4  (b) -0.5  (c) 5978  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -211, -426, -643, -862?\n\"Answer: -n**2 - 212*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -12*o**2 - 2*o - 3. Let m(f) = 2*f**2 + 2. Determine a(n) + 2*m(n).\nAnswer: -8*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-3 - (-5 - (-1 + -8)) - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37, 172, 389, 682, 1045, 1472, 1957?\nAnswer: 2494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + -20. Suppose -2*j - 2384 = -i*j. Let b = j - 1269. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 6 - 1) + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -606 - -71. Let f = 549 + l. Let y(m) = -23*m - 5. What is the remainder when y(-5) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*g**3*m + 3*g**3 + 38*g**2*m**2 - 201*g*m**2 - 2*m**2 wrt g?\nAnswer: -18*g*m + 18*g + 76*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -104*p + 249 = -24*p - 1511 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7872870 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -56*j**3 + 113*j**2 - 6*j + 11. Let b(k) = -19*k**3 + 37*k**2 - 2*k + 4. Let x(a) = 11*b(a) - 4*u(a). Find the third derivative of x(z) wrt z.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by -27?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*g - g - g)*(g**2 - 3*g**2 + 3*g**2) - 3*g**2 + 358*g**3 + 66*g**3 + 7*g**2 - 2*g**2 to l + y*g**3 + i*g + d*g**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -1.22\nAnswer: -0.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32\/5 + 126\/5*g - 8\/5*g**2.\nAnswer: -2*(g - 16)*(4*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -89333*y**3 + 5*y**2\/2 + 7. Let r be d(-5). Round r to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8980?\nAnswer: 2, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-6)*n)\/n**9*(n\/(n*n**(-1\/12))*n*n*n*n)**(2\/13) assuming n is positive.\nAnswer: n**(-1043\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117*b + 152*b = 24780. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**4\/5 - 3*g**3\/5 + 4*g\/5 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 82014926 to the nearest integer?\nAnswer: 9056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 998800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4445 + -2718. Calculate the remainder when i is divided by 863.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(1728)*-2 + sqrt(1728))*2)\/((5*sqrt(81) + sqrt(9) + -4*sqrt(36))*-6))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, -274, -863, -1972, -3769, -6422?\nAnswer: -10099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 82086.9 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (963\/12198)\/(9\/(-24))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-92)\/(-18) - (-47)\/(1739\/(-185)). Factor 0 - w*n**2 - 1\/9*n**4 - 2\/9*n**3 + 0*n.\nAnswer: -n**2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 4*f + 68, i + 10*f - 15*f = -3. Let r = 0 - -3. Suppose r*g - g = i. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 5*r + 279 = 0, w + w = r + 135. Let b be 0\/(4*(-3)\/6) + 3. What is the remainder when w is divided by (-2)\/b*(-2 + (-94)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -o**2\/2 + 4. Suppose i + 2 = -0. What is the units digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -195641 * 9\nAnswer: -1760769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -b + d57?\nAnswer: d4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 12:33 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-80))\/((-473)\/(-44)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/144 and -51\/472?\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 319\/3 - 108. Let m be (-4)\/12*3\/4. What is the closest to m in 2\/13, p, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1117457 is divided by 22349.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Work out -1.1 + -239.476.\nAnswer: -240.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 - 7*t - 10. Let d(o) = -o + 18. Let w be d(-9). Suppose -5*k = -8*k + w. Let b be g(k). Calculate the greatest common divisor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 40 - 39. Suppose v = l - 0 - 2, -5*v - 5 = 0. Is -2 + l\/(x\/85) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3362 times -4\nAnswer: -13448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -287\/114 smaller than -11\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 306 (base 9) to base 13.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1817644 is divided by 6656?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6353 + 6360. Let o(v) = v**3 - 3*v**2 - 4*v + 4. Suppose 0 = -3*b + 20 + 16. Let g(p) = -3*p**3 + b*p - 9 - 2*p - p + 7*p**2. Give q*o(x) + 3*g(x).\nAnswer: -2*x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -211 (base 4) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 + 21 - 21 + 34 - 19 - 4*n.\nAnswer: -4*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*s - z, 48*s - 51*s + 2*z + 24 = 0. Solve -2*b - s = -0*h + 3*h, -4*b + 5*h + 36 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -220 - -219.9. Let j be (-1)\/(((-300)\/8)\/(-5)). Which is the second smallest value?  (a) j  (b) 0.4  (c) q  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3342 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2562177509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + -17 - (1 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37527 + 101?\nAnswer: 37628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/19?  (a) 3  (b) -2  (c) -7\/8  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-365)\/6)\/(-3 - -4). Let h = a + 61. Let w = 7\/12 + h. What is the closest to -2 in 2, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 + 9 + 681*o - 31 - 220*o.\nAnswer: 461*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of 0*b**3 + 0*b**4 + 1\/30*b**6 + 5*b**2 + 0 + 0*b + 1\/15*b**5. Factor n(z).\nAnswer: 4*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 8*q = 4694 - 4631, 0 = 4*v - 2*q + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 41 + 1. What is the remainder when ((-18)\/10 + 1)\/(10\/(-725)) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 - (-1 - 0 - (11 + -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6889751 divided by 4?\nAnswer: -6889751\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2918085*h*l**3 + 6*h*l - 473*h - 6*l**2 + 2 wrt l?\nAnswer: -17508510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 4. Let n = -11770 + 117589\/10. Calculate the common denominator of 36\/42*z\/(-2) and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 40*u + 50. Let k be b(5). What is the highest common divisor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.91 - -0.09. Let l = c + -9. Let o = 875.1 - 875. What is the closest to o in -9, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7908, 15820, 23734, 31650, 39568?\nAnswer: 47488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -315 + 129*t - t**2 - 93 + 219 - t**2. Is l(54) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(3\/5)\/((m\/m**9)\/m))**(-1\/19)*(((m\/(m*m**0))\/m)\/(m**(3\/5)*m))\/(m\/(m**(-2)\/m*m)*m**0*m*m) assuming m is positive.\nAnswer: m**(-154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6 - (0 - 0 - 0). Is ((-164)\/i)\/(4\/(-30)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8265?\nAnswer: 3, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6.4 and 770408.\nAnswer: 4930611.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 2 = -4*p - 4, 3*k - 2*p = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3704973075.\nAnswer: 3, 5, 5488849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.292948 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2215880000)\/(-93)*(2\/7 - 171\/(-63)). What is i rounded to the nearest 1000000?\nAnswer: 71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/2, 2, 8, -2\/13, 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/12)\/b*b**3)**(2\/45))**29 assuming b is positive.\nAnswer: b**(145\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 1216 divide 816553728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11.26 + -13.26. Let f = -1 + 3.9. Let h = -3 + f. Which is the nearest to 2?  (a) o  (b) 1\/4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*x + 6164 + 7460 = 0. Is x - -1 - (7 + -16 + 6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 62252681*c. Let s(l) = -10*l**2. Give t(s(r)).\nAnswer: -622526810*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/28135 and 8\/24825.\nAnswer: 422025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 98445020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 1234?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 55773812 rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -350, -690, -1030, -1370?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b**(-1\/4))**(-26))**(18\/11))**(-1\/19))**(2\/61) assuming b is positive.\nAnswer: b**(-234\/12749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-3*45\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -88*z**2 - 5. Let y(f) = 59*f**2 + 3. Calculate -5*c(h) - 8*y(h).\nAnswer: -32*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 123.2273 less than -16.2?\nAnswer: -139.4273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11343944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10039\/102 - -587\/6. Let i = u - -104\/119. Factor -i*m - 2\/7*m**2 + 4\/7.\nAnswer: -2*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) + -1 + sqrt(1008) + 4)*2.\nAnswer: 6 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b + 4. Let i(z) = 3. Determine 2*c(x) - 3*i(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 46067 less than or equal to 46079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(13)*-1 - (-2*sqrt(637))**2.\nAnswer: -2548 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 486 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -7*b**2 - 7*b. Let f(a) = -3216 - 3212 + 6428 + 11*a. What is f(y(t))?\nAnswer: -77*t**2 - 77*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 8:25 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c\/c**(1\/2)))\/(c\/((c\/c**3)\/c))*(c\/((c*c**(-1))\/c*c))**(2\/21) assuming c is positive.\nAnswer: c**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11851*-4.\nAnswer: 47404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c + 30. Suppose -c = 2*b + 6. What is the tens digit of (-18)\/b*32\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -561\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 974 = 3*r, 2*r = -3*l + 4*r + 1466. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3600 - -21517\/6. Find the common denominator of 121\/10 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 246\/221 + -16\/13. Let x = -0.016 - 0.014. Put y, x, 0.4 in ascending order.\nAnswer: y, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to -130369729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of -15*x**4\/4 + 10*x**3\/3 - 252*x + 124. What is the derivative of d(l) wrt l?\nAnswer: -45*l**2 + 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28093939 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -7091*y**4\/4 + 2302*y**2 - 10745. Find the second derivative of b(x) wrt x.\nAnswer: -42546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = 24 - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 24853, 49709, 74565, 99421, 124277, 149133?\n\"Answer: 24856*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 765644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3*a**2 - 2*a. Let h(y) = -2*y + 2. Let s be h(3). Let w(f) = -f**2 - f. Let n(m) = s*w(m) + 2*l(m). Let v(i) = -2*i. Give n(v(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -531 - -959. Suppose -2*x - 4*r = -j, 2*x - x - 216 = -4*r. Suppose m = -4*z + x, 2*m - 108 = -4*z + 104. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -423 by 2005.\nAnswer: -423\/2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eggg when four letters picked without replacement from {e: 9, g: 4, c: 4}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 10) + (-513)\/9 + -5 + -15 + 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 118048 or 118047?\nAnswer: 118048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -49.6 or -13\/3?\nAnswer: -49.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/3055 and -48\/17.\nAnswer: 51935","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is c in -c**4\/3 + 112*c**3\/3 - 3904*c**2\/3 + 14336*c - 49152 = 0?\nAnswer: 8, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + 5)\/(6\/27). Let l = 21 + -13. Let d = l - 3. Solve -z = -x - 4*a, -d = -4*x - 4*a + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(65)*-2*-5)\/(-2*sqrt(720)*-1).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*g**2 + g**2 + 3*g**2)*(-2 + 1 - 1 + 16*g) + 3*g**3 - g**3 - 3*g**3 to the form w*g**3 + t*g**2 + a*g + s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -6.0153803 and 3.\nAnswer: -18.0461409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) - (sqrt(176) - (-2 + sqrt(176) + 3 + sqrt(176))) - (5 + sqrt(176) + 0)) + -3)**2*1.\nAnswer: -56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3637*y**3 - 1975*y**3 + 2340*y**3)*(0*y**2 + 3*y**2 - 5*y**2).\nAnswer: 6544*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 34*z + 23*z - 203*z - z**2 + 88*z + (3 + 0 - 2)*(3*z**2 + 0 + 0).\nAnswer: 2*z**2 - 58*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 65858*o**5 - 6*o**2 - 31*o - 1?\nAnswer: 3951480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/44265 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {p: 7, s: 3, q: 3}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -99448 divided by 24862\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567420.\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -16*h**3 + h**2 - h - 1. Give u(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 - s**2 - s - 1. Let t(l) = -5*l**3 + 5*l**2 + 3*l + 53. Suppose -6*g + 10*g - 4 = 0. Let p(w) = g*t(w) + 4*a(w). Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the third derivative of -4*p**2 + 0*p + 0*p**3 + 0 - 1\/24*p**4. Let u(b) = 4*b**2. What is s(u(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/57, 5, 3\/14, -0.3502?\nAnswer: -0.3502","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooxowwwwwaewo.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32 + 3 + 17)*(18 + 8 + 69)*(b**2 + 1 - 1).\nAnswer: 4940*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 5) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -5*c + 112. Let r be v(25). Put 5, r, 11 in ascending order.\nAnswer: r, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3156?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -44.18?\nAnswer: 22.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 - 5*u + 14. Let y be i(4). Suppose 9*s + 4 = y*s. What is the third biggest value in 2\/5, s, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.48 + 1.189. Let h = q - 0.009. Let r = 0.2 + -0.2. Which is the nearest to r?  (a) 0.4  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(192) - (sqrt(192) + -1)) + sqrt(192))**2 + sqrt(192) + sqrt(192) + sqrt(192))*4 + -2 + sqrt(192) + -5 + -4.\nAnswer: -88*sqrt(3) + 793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -29779\/9 + 3309. What is the fourth biggest value in 4, r, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1039b + -1?\nAnswer: -1039c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**6\/(k\/(k\/((k**(2\/3)\/k*k)\/k)))*(k**1*k)**(1\/18) assuming k is positive.\nAnswer: k**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 533, -3, 31 in increasing order.\nAnswer: -3, 31, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -7225?\nAnswer: 7226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/22 - 1044\/66. Let j be (-8)\/y + 33\/2. Suppose -4*t - 2*h - 11 + 31 = 0, -3*t = 2*h - 17. Solve -t*n + l + j = 3*l, -3*l = 2*n - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 2*j = 254989 + 360695. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*h**3 + 33*h**2 + 18*h.\nAnswer: h*(h + 6)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - i + 1. Let h(g) = 1. Let a(n) = -n - 2. Let m(s) = -a(s) - 2*h(s). Suppose -4 - 1 = 5*z. Let q(t) = z*m(t) - x(t). Calculate q(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 121, -5, -1.\nAnswer: -5, -1, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o + 11. Let z be y(4). Suppose 7*t - 40 = -z*t. Solve 2*g - 3*g + 2 = -f, t*g + 1 = -5*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21383551.\nAnswer: 7, 436399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(42\/5)*(1 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -w + 1. Suppose -5*u = -z - w, 2*z = -4*u + z - 4. Suppose 4*s - 7 - 9 = u. What is the smallest common multiple of 9 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2663, -10633, -23907, -42479, -66343?\n\"Answer: z**3 - 2658*z**2 - 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 9 - 2)*(-5*w**2 + 2*w**2 - w**2)*(-2*w**2 + 2 - 2).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009019 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14810 or -2\/141?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1202756 and 1592.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -6*v + 0*v + v + v - 22. Suppose -20 = 37*m - 35*m - 5*x, m + 10 = -2*x. What is the lowest common multiple of 9 and r(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3917*c**2 + 2814*c**2 + 2 - 2234*c**2 as m*c + d*c**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-20)*(-5)\/(-8))\/((-27)\/810)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4485, -8963, -13417, -17835, -22205, -26515, -30753?\n\"Answer: 2*l**3 - 4492*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1209 (base 15) to base 5\nAnswer: 110314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21720624, 43441250, 65161876?\nAnswer: 86882502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*j - 11*j + 7 - 42*j + 17*j - 76*j to f + c*j and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2124 divided by 531.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*q + v - 6 = 0, 5*v = -10. Suppose 15 = -2*l + 5*g, -q*l = 7*g - 2*g - 15. Solve f - 2*f + 4 = l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-4)*10\/(65\/156*-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 339 + -336.23. Let v = 3.07 - t. Let k = -6 - 34. What is the nearest to 0.1 in k, 2\/17, v?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 2*z**3\/3 - z**2 - 12*z. Give s(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/2 + 145*i\/2 - 213.\nAnswer: -(i - 142)*(i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70?  (a) -5  (b) 0.29  (c) -92\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (90 + -13)\/11 + 55\/(-10). Factor 147\/2 - 21*v + z*v**2.\nAnswer: 3*(v - 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 216.9093 - 0.2293. Let z = -1.68 + t. Let x = z + -214.9999913. Round x to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-9)*((-80)\/75)\/(-8).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7145, 12389, 17575, 22709, 27797, 32845?\nAnswer: 37859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(18) + (sqrt(18) - (sqrt(162)\/(sqrt(9) - 2*sqrt(9)) - sqrt(18))) - (2*sqrt(1458) + sqrt(18) + sqrt(18)))\/(sqrt(72)\/(sqrt(288)*-3)) + -4)*3.\nAnswer: -12 + 864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.488 + 0.002. Let h = u - 0.69. Let t = -0.05 + -3.95. Which is the nearest to -0.1?  (a) t  (b) 1\/3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61930526 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-23)*h*h**(6\/13)*h**(6\/13)\/(h*h\/((h**(1\/17)\/h*h)\/h)*h) assuming h is positive.\nAnswer: h**(-5529\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -45, 6, 2, -5 in decreasing order.\nAnswer: 6, 5, 2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -7. Suppose q = -2*a + 4*i + 28, 0 = 3*a + 2*a - 4*i - 40. Solve -a*c - 3 - 11 = -o, -c - 12 = 4*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 3\/2  (c) -2\/9  (d) -0.045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 + 35. Let s be 18\/4*h\/15. Suppose c = -s*r + 3299997, -c + r = 5*r - 3299996. Round c to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 - 6*o**2 + 6*o - 8. Let j be n(-6). Let s = 43 + -56. Let p = s - j. What is the remainder when 90 is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 4*p**2 - 202*p - 1 + 5*p**3 + 203*p - 4*p**3 - 1. Determine u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -9\/26120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**3\/7 - 1262470*g**2\/7 - 721408*g - 5049848\/7 = 0.\nAnswer: -631231, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 + 5*a**3 + 2*a**3)*(21*a - 61*a - 21*a**2 + 41*a).\nAnswer: -105*a**5 + 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 54 = -3*x - 4*l, l = 2. Let i(k) = -126*k - 65. Is i(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 129 - 82. Suppose t + 6 = -6. Let l = 0 - t. What is the remainder when d is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2086, -2\/5, 13\/10, 2\/9?\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, -0.1, 5, -1.00936, 1, 0.3, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 4*m - 16 - 8, 5*f - 20 = 0. Let x(i) = -10*i**2 - i. Let n be x(m). Let z be (-2)\/n - (-33654)\/33. What is z rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let -z**5\/9 - 4468*z**4\/3 - 44728613*z**3\/9 + 1262218498*z**2\/9 - 265577504*z + 1172721056\/9 = 0. Calculate z.\nAnswer: -6716, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 398697.39 minutes?\nAnswer: 39.5533125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 9*r - 201. Give z(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*t**2\/2 - 5549*t\/2 + 2778.\nAnswer: -(t - 1)*(7*t + 5556)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0081283 to four dps.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 528832.\nAnswer: 2, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the first derivative of m**5\/10 - 7*m**4\/8 - 17*m**3\/6 - 9*m**2\/4 + 182. Let i(q) = 0. Calculate q.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 5*c**3 + 12*c**2 + 5*c - 1 + 2*c + 4 - 4*c**3. What is the units digit of i(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 757 - 143 = 0. Suppose m*v - 2016 = 31*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -37. Let x = 23.22 + q. Let p = -0.02 + x. Round p to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.191022 to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**3\/4 + 5653257*b**2\/4 = 0. Calculate b.\nAnswer: -5653257, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*h**2 - 3*h - 3*h**2 + 203847*h**4 - 203849*h**4 as n*h**2 + i*h**3 + v*h**4 + q*h + b and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1753 - 417?\nAnswer: -2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7604 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/15 - (-19)\/(-3). Let i = 2 + 19. What are the prime factors of 0\/d + (i - 0)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52\/5701 + 97333589\/45608. Let j = 2131 - w. Calculate the common denominator of 3\/(-1) + 125\/22 and j.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46 (base 11) to base 6\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 234*a + 260*a - 5*a**3 + 0*a**3 - 494*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 3*p + p)*(1 + 8 - 2)*(0 - 3 + 1)*(0 + 2 - 1).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j + 4204. Let p(z) = 2*z + 2101. Calculate 5*p(c) - 3*q(c).\nAnswer: c - 2107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cmfcccccmmhoch. Give prob of sequence ofc.\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -6*i + 10. Suppose -4*l - i*h = 5 + 18, 3*l = h - 22. Let q(y) = -y**2 - 5*y - 5. Determine q(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 111 + 18*k**3 - 111 + 1 - 1 + k**3 - 2*k + 2*k + k**3 - 2*k**3 + 2*k**3 - k**3 + (4*k - 4*k - k**2)*(-2*k + 4*k - k) + k + 2*k**3 - k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -10*y**2 - 68*y + 1150. Calculate i(14).\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/7*a - 2*a**2 + 24\/7 + 2\/7*a**3.\nAnswer: 2*(a - 6)*(a - 2)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14599000 rounded to the nearest one hundred thousand?\nAnswer: -14600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 8:53 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 65 = -164. Suppose -t + x = 12. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19 + 24. Let t be 26\/(-116)*(-190)\/(-25). Let f = t + 3\/29. Sort f, g, -5 in decreasing order.\nAnswer: g, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 11342, 11029, 10716?\n\"Answer: -313*s + 11655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1703629560.\nAnswer: 2, 3, 5, 2029, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16999.\nAnswer: 89, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9596085 divided by -1919217?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 plus -20.321384?\nAnswer: -29.321384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 7 + 1)*(4 - 175*h + 136*h - 3).\nAnswer: 117*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -4*q**3 - 7*q**2 - q - 3. Let g(j) = j**3 + j**2 - j. Let o(v) = 3*g(v) + p(v). Let l be o(-3). Let b(d) = d**2 - d + 3. Determine b(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of 13*a**4\/12 - 13*a**3\/3 - a**2 + 8*a. Find the first derivative of o(h) wrt h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/5)\/(4\/210). Suppose -3*c + 129 = 2*c + 3*d, 3*c = 3*d + x. Calculate the least common multiple of c and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 - 59 = 4*j. Let l = -36 + j. Let q be -4*(-1 - l\/72). Do q and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-61))\/((-533)\/32513)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 20237*f - 10112*f + 3 - 10129*f. Let w(k) = -9*k + 7. Let s = -3 - -2. Let y(g) = 5*g. Let l be y(s). What is l*q(r) + 2*w(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 + 970\/27. Let k = 1.14 - 0.64. Which is the second biggest value?  (a) -1\/3  (b) 2  (c) h  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8 or 0.1368?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u. Let m(q) = 192*q. Give c(m(n)).\nAnswer: -384*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2092952 - -113.\nAnswer: 2093065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 143 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -8 - 0 - 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2112\/688 - 3)*7\/6*(-28)\/49.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.159989 meters to kilometers.\nAnswer: 0.001159989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 15 = -0*l. Let w be 4\/((-36)\/33) + l. Let b = 1.4 - 7.4. Which is bigger: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1499422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -47, -146, -353, -728, -1331, -2222, -3461?\nAnswer: -5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -5*k**2 - 18*k - 26. Let q(y) = -y**2. Let c(v) = 6*q(v) - r(v). Give c(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5683 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: Does 8 divide 6233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3218?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 8*g**3 - 2*g**2 + g - 1. Let b = 2375 - 2377. Let m(j) = -32*j**3 + 9*j**2 - 5*j + 4. What is b*m(i) - 9*z(i)?\nAnswer: -8*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*i - 3*v + 22, -15 = -3*i - 4*v. Let b = i + 0. Solve p - b = -0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186407854 a multiple of 421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 28 and 10423.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -8301, -8315, -8339, -8379, -8441, -8531, -8655, -8819?\n\"Answer: -g**3 + g**2 - 10*g - 8291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x. Let c be 11*(-1 + (-2 - -5)). Let p(h) = h - c + 22. Calculate a(p(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 c, and 1 g when four letters picked without replacement from {d: 3, e: 2, i: 3, m: 4, c: 6, g: 1}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -11*o + 10*o - 39, -5*o + 45 = 5*p. Let i be -1 + 27\/12 + (-3)\/p. Which is greater: i or -4\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of 0 + 911906\/3*r**3 - 26*r**2 - 10*r. Let f be t(21). What is f rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**2*r**2 + 202*g - 1497*r**2 wrt g.\nAnswer: -4*g*r**2 + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 70\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m**4\/9 - 10*m**3\/3 = 0. What is m?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -11*(105\/77)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 645409*l*m**4 - 4944251*l - 2*m**2 with respect to m.\nAnswer: 2581636*l*m**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 66. Let v = r - -24.9999953. What is v rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -8*v**3 + v**2 + 5*v - 16. Let y be o(2). Is -63 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -13116.003608 and 1.4383.\nAnswer: -13114.565308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1883 is divided by 342?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 4. Suppose 3*j = -5*s - 3, -4 = s + 3*j - 1. What is the third derivative of -c**5 + 2*c**l + s*c**5 - c**2 wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67673 (base 8) in base 6?\nAnswer: 340231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 + 209 = -2*o. Let z = o - -414. List the prime factors of z.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 32\/337 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5 = -3*k, 2*m - 6*k = -2*k + 6. Let w be ((-44)\/(-8))\/(2\/4). Let g = -11 + w. Which is the nearest to 2\/13?  (a) g  (b) m  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/9  (b) -14\/9  (c) 5\/4  (d) 2  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 155612, 155624, 155636, 155648?\n\"Answer: 12*l + 155600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -946 (base 12) to base 3\nAnswer: -1212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.6 + -0.4. Let m = 1.5 + l. Let p = 0.024 - -0.076. What is the nearest to p in m, 4, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1866121?\nAnswer: 29, 229, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 13. Let s be g(-3). Suppose -s = 7*d - 144. Let j(c) = c - 3. Calculate the smallest common multiple of d and j(21).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -x**4\/4 - x**3\/3 + 3*x - 1. Let d be c(0). Suppose -d*y = -18 - 456. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 293426 is divided by 436.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 437 - 412. Let p = 21 - 13. Suppose -i + p = 3. Calculate the greatest common divisor of f and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-21 - (-602463)\/187) + (-3)\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-97)\/485 + (-2)\/(-10) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1323, 1\/5, 3, 26.7, 1\/2, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**30*(o\/(o*o**(1\/12)))\/o*o\/(o*o*o**(2\/21))*o*o*o**(-1\/14)*o)**(2\/69) assuming o is positive.\nAnswer: o**(127\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i. Let o(t) = 466*t. Calculate o(v(w)).\nAnswer: 932*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 108575466203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 182831?\nAnswer: 182831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3594, -14404, -32412, -57612, -89998?\n\"Answer: q**3 - 3605*q**2 - 2*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 7:01 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - 225*y - 35127. Determine w(-106).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, k: 2, w: 5, r: 4}. Give prob of picking 1 k, 1 y, and 1 r.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -5*o**3 + 12*o**2 + 5*o + 20. Let s(j) = -6*j**3 + 11*j**2 + 4*j + 19. Let n(y) = -5*r(y) + 4*s(y). Is 13 a factor of n(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296158065 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, x: 4, i: 3, j: 1}. Give prob of sequence jihi.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 11\/(-5))\/((-10)\/50). Let s(f) = -2*f + 2. Let n be s(m). Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.21 + 2.59. Let l = i + -12.4. Let z(a) = -a**2 + a + 2. Let k be z(0). What is the third smallest value in k, l, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2*y**3 + 8*y**2 + 22*y + 2. What is r(-4)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2352)\/296 + -15 + 23?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(21\/(-3) - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -964 times -155083?\nAnswer: 149500012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vyww when four letters picked without replacement from yvvwwvwwvwwwvvwww?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + t - 5 = -1, 4*q + 3*t - 12 = 0. Suppose 3*v - 42 - 12 = q. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24348.\nAnswer: 2, 3, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32322 divided by 3.\nAnswer: 10774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 105 = -0*x. Let s = -18 + x. Solve -n + 4*l + 3 = 3*l, 0 = n + s*l - 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -26*n**2 + 132*n - 2. Calculate a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -11*(-1 - 3) - -1 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/2694 and 53\/6.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + t**3)*(t**2 - 3*t + 3*t) + 4*t**5 + 4*t**5 - 3*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 112563 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/((-105)\/(-6))*(-411)\/274.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -33617 - -33782. Solve -153*t + 36 = -y*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/11, -2.9, -3, 2\/5, 21 in ascending order.\nAnswer: -3, -2.9, -3\/11, 2\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -603570.303 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 18. Let a(j) = -7*j. Let g(v) = 10*v. Let d(u) = q*g(u) + 7*a(u). Let b(c) = 2*c**2. Calculate d(b(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 345 = -3*l + 2*l, 2*l = 3*x + 655. Calculate the greatest common divisor of 40 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18.9 + 18.9000735. Round z to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27531548.\nAnswer: 2, 11, 181, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -97\/2 - -675\/14. Is i greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7178467, -7178382, -7178297, -7178212, -7178127?\n\"Answer: 85*q - 7178552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*v**5 + 532*v**4 + 8*v**2 + v + 54 wrt v.\nAnswer: -180*v**2 + 12768*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8384324, -16768647, -25152970?\nAnswer: -33537293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -175 - -9ce?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31136152 is divided by 2030.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 3*l**2 + 2*l - 11. Let z(s) = -2*s**3 - 3*s**2 - s + 12. Let p(v) = -3*k(v) - 2*z(v). What is the remainder when p(4) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5\/9 - 9902*i**4\/9 - 5062928*i**3\/3 - 824893664*i**2 = 0. Calculate i.\nAnswer: -2527, -1212, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -6*w**2 - 6*w - 2. Let k = 10 + -10. Suppose k = -6*y + 9 - 33. Let c(d) = -5*d**2 - 5*d - 2. Give y*c(l) + 3*i(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20444 and 2?\nAnswer: 20444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 598\/(-80) - 18\/(-30) and 3\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2*r - 24 = 0. Let m be (r - 0)*(-1 + -5). Let z = -27 - m. What is the greatest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8763641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 11, b: 2}. Give prob of picking 1 b and 1 w.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 3*f**4\/4 + f**3\/6 - f. Let i be q(-1). Suppose -2 + i = 3*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/204*-14*(-18)\/(-189)*3\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 6*s**2 - 23*s - 137. Let k be q(-6). Solve c = -f + 2, -f - 4*c + 7 = -k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 866394 divided by 96266.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 1905*z**2 - 8*z + 1896. Let r(n) = 762*n**2 - 3*n + 758. Let h(y) = 5*o(y) - 13*r(y). What is the derivative of h(a) wrt a?\nAnswer: -762*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 - -16. Calculate the smallest common multiple of (5\/(-24) - 14*(-10)\/(-1120))*-12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/357 + -410\/357. Suppose -h - 2*h = 2*u + 10, 4*h - 5*u - 25 = 0. Suppose h = -2*b - 24 + 22. Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 785 - 783. Solve 13 = -5*k + q*k - o, -2*k - 6 = -2*o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401964 is divided by 23641.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4 + 23*d**3 + 94*d**2 + 72*d.\nAnswer: d*(d + 1)*(d + 4)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 4. Let v(d) = d + 5. Let z(h) = -5*c(h) - 4*v(h). Let f(w) = 4*w + 3. Let t(k) = -3*k + 37. Let p be t(14). Give p*z(b) + f(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.624552 hours in days?\nAnswer: 0.901023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-702)\/585 + 2\/10)*-25027?\nAnswer: 29, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/4 and -87\/388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 97*h**4 - h**3 - 330*h.\nAnswer: 1164*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 - z**2 + z + 1. Let v(s) = -5*s**3 - 10*s**2 + 6*s + 8. Let j(r) = v(r) - 4*w(r). Let f be 3\/9 + (-19)\/3. Calculate j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4750234 rounded to two dps?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*o = 117, 213 = 5*g - 2*o - 282. Suppose 2*j = -5*u + 491, 40 = -2*u + j + 231. Are g and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -7*d**3 + 51*d**2 + 5*d + 69. Give q(8).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x + 14. Let d(g) = -4 - 1266*g + 1267*g + 9. What is -8*d(v) + 3*h(v)?\nAnswer: 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 98711, -3 in descending order.\nAnswer: 98711, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/1047732 and -23\/12460527.\nAnswer: 348894756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t + 2*t - 2*t)*(0 + 4 - 5) - 49*t + 91*t + 54*t + 29*t to the form d*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -47.1\nAnswer: -14.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 973*w**3 - 536.\nAnswer: 2919*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/13746 and -8\/15.\nAnswer: 68730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 18973988*p**2. Let t(k) = 39*k**2. Calculate t(o(l)).\nAnswer: 14040476604341616*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 - 9*u - 1. Let w be h(5). Let s = w - 18. Let y = s + 19. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39688028 to the power of 1\/2, to the nearest integer?\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (6 - (4 + 0) - (-5 - -12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + y + (2 + 1 - 2)*(27 + 33 - 17)*(-y - 4 + 4).\nAnswer: -42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - 576\/(-3 + 0). Suppose r - h = 3*h + i, -380 = -2*r - 4*h. 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: Evaluate ((-102)\/(-17))\/(((-3)\/164)\/((-36)\/288)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.362, -0.01, 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(2*2\/12). Suppose -2*x - 695 = 5*g, -1399 = x + t*x + g. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -2*k - 9. Let y be x(-10). Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 5:09 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**4\/4 + 21*f**3 + 357*f**2\/4 - 426*f + 315 = 0. What is f?\nAnswer: -21, -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of 0*w + 3\/20*w**6 + 0*w**3 - 7*w**2 - 1\/70*w**7 - 9\/20*w**5 + 0*w**4 + 0. Find v, given that d(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8624 - -457092\/53. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (2 + -1 + 4) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 35091 + -23462. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 6*b + 2. Let v be i(5). Let p = v - 5. Suppose p*d + 4 = 4*a, 4*d + 5*a - 27 = d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7422153*p**3 + 3*p - 119029003 wrt p.\nAnswer: -22266459*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68, 558, 1888, 4478, 8748?\nAnswer: 15118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1376 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (-41 - (-93 + -5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -3) + -5 + 1. Let y be ((-3352)\/836 - d)\/(-1). Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 8 = -2*d, u + 5*d - 2 = 2*d. Calculate the remainder when u\/(-12) - (-86)\/3 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 3*r - 4. Let b(x) = 4. Let u(c) = -c - 17. Give r*u(i) - 9*b(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 25477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ece when three letters picked without replacement from {b: 1, y: 5, k: 2, e: 6, c: 1, x: 1}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -10736*k**3 + 13172*k**2 - 2524*k + 88 = 0.\nAnswer: 11\/244, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*p = -24, -2 = -4*h + 2*h - 2*p. What is the third derivative of 13 + 27*d**h - 13 + 20*d**2 wrt d?\nAnswer: 648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.1 and -2089.\nAnswer: 8564.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f - 1 = 10*f, 2*m = 5*f + 67313. What are the prime factors of m?\nAnswer: 97, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m**3 + 2*m**4 + 4*m**3 + (-3*m**2 + 2*m**2 + 0*m**2 + (-2 - 4 + 4)*(2*m**2 - 2*m**2 + m**2))*(6*m**2 + m**2 + 3*m**2).\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 PM and 8:16 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.076922 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1147310218?\nAnswer: 2, 11933, 48073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -30339  (b) 73  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -24204.748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 563 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t - t + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 271*g + 40. Let f(r) = -815*r - 121. Let h(z) = 7*a(z) + 2*f(z). What is the hundreds digit of h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -38 + 53. Let c = z + -4. Solve -4*w - w + c = p, 3*p = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(833) + -1 + 0)**2 - (1 + 2*sqrt(833) + -3*(-1 + sqrt(833) - sqrt(833)))**2.\nAnswer: -2511 - 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o**2 + 28*o + 40. What is the units digit of u(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 4*y + 84, p - 5*y = -4*y + 40. Let b(o) = 5*o - p*o - 9*o + 3*o. Let h(u) = u. Determine h(b(j)).\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50659\/5 - -10194. Let q = a - 62. What is the third biggest value in -1\/2, 2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/11)\/(c**(-3\/11)*c))\/(c**1\/(c\/c**(2\/11)*c*c)) assuming c is positive.\nAnswer: c**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -314 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.022 and 1679?\nAnswer: 36.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 (base 14) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -212*o**5 - 213*o**5 + 427*o**5 + 3*o**2 + 7*o**3 + o + (6*o + 4*o**3 - 6*o)*(-2*o**2 + o**2 + 0*o**2).\nAnswer: -2*o**5 + 7*o**3 + 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -168*h**3 + 13*h**2 + 13*h - 21. Give o(-2).\nAnswer: 1349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 3*m = -7, 9 = 8*p - 4*p - m. Solve 4*k - 3*d = -18, -6 = 2*k + d - p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3482*h**3 + 1166*h**3 + 1160*h**3 + 1160*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 758 - 1538 = 0. Let t = a - 176. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 185*s - 48. Let f be h(9). Suppose -f = -6*a + 1605. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.6 - 69.4. Let w = b + 76. Put 0.5, -1, 2, w in ascending order.\nAnswer: w, -1, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 454 divide 226448358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 0*g + 0*g)*((2 + 0 - 6)*(3 - 4 + 4) - 3 - 2 + 7 - 2 - 2 + 1 + 2 - 3 + 2) in the form m*g + s and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*35\/(-20)*24\/(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4266 + -3259. Calculate the highest common divisor of 212 and p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.08, 2\/9, 0.358, -2 in descending order.\nAnswer: 0.358, 2\/9, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 16 + 26 + 119*m to o + q*m and give q.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -4. Calculate the common denominator of n\/(-2)*(-7 + (-52)\/(-3)) and ((-5)\/30*-4)\/(8\/37).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r - 65 - 16226 = 0. Suppose -4*i - 1992 = 2*p, 3*p = -5*i - 5222 + 2231. Let s = p - r. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -1. Let y(m) = 2*m - 4. Let z(i) = -4*n(i) + y(i). Let c(u) = -2*u**2. Calculate z(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 53252 and 36.\nAnswer: 479268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.3068 - 11.69. Let u = l - -0.0662. Let c = u + -0.083. Round c to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 80976909506 from 3.\nAnswer: -80976909503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.6 + 0.6. Let f = -25 + 31. Let o = f + l. Sort -2\/15, o, 3\/4 in descending order.\nAnswer: 3\/4, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 56322, 224910, 505892, 899268, 1405038, 2023202?\nAnswer: 2753760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2393086, 2393249, 2393412, 2393575, 2393738, 2393901?\nAnswer: 2394064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2. Suppose -w + 4 = 2*q - q, 0 = 3*w + q - 4. Let j(n) be the third derivative of 1\/24*n**4 + 0 + w*n - 2*n**2 + 0*n**3. Give t(j(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*d - 43*d + 18. Suppose 3*u + r - 20 = 0, 0 = r + 7 - d. Solve u*m - 5*m - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -a10a88?\nAnswer: a10a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 111 - 2107\/19. Let q be (-18)\/10*(-1)\/3. What is the closest to -0.1 in -3, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13360 is divided by 254?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5678.668 millennia to centuries.\nAnswer: 56786.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 - -32.52. Let p = f - -31.48. Let x = 31.99999886 - p. What is x rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvjqpqcccqjq. What is prob of sequence pjjp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*j - 64 = 5*p - 9*p - 9*j, 0 = -p + 3*j + 12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -48  (b) -0.1  (c) 1.7  (d) -4  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 146280 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 5*j = 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**2 + 186 - 7 - 153 - 146 - 3*w**2 to f*w**2 + r*w + v and give v.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes before 2:09 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -130*t**2 - 4*t - 3. Let j be d(-1). Let k = 129 + j. Solve -b - b = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -13 - 16 + 24 - 2*o. What is y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**3 + o**2 - 4*o + 2. Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g - 3*g + 4*g)*(-61 + 191 - 41 - 42 + 91965*g - 47) as x*g**2 + b + j*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(-24) + -1*2. Put h, 4, 3, -1 in increasing order.\nAnswer: h, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86397617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/2, 0, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2. Let w(s) be the third derivative of -77*s**4\/24 - s**3\/3 - 26*s**2 - 1. What is w(r(y))?\nAnswer: -77*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*j + 20*j + 1980. Suppose -6*u + j = -u. What is the remainder when u is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2162145*r**3 - 18300. Let t(h) = 2126*h**3 + 18. Give 3*m(c) + 3050*t(c).\nAnswer: -2135*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i. Suppose -4*l = -7*l - j + 15, 4*j = 0. Suppose -c + 0*c = -3*y + 9, -l = -4*y - c. Let r(m) = 2 + 0 - 3 - 3*m. Calculate y*f(u) - r(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 799, 2003, 3373, 4903, 6587, 8419?\nAnswer: 10393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7492*v - 14259*v = -439855 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {i: 2, l: 3, y: 4, u: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = u - 483, 4*z = -4*u + u + 1397. Is 24 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 4 + s + 9)*((7 - 7 + s)*(-s + 0*s + 2*s) - s + s**2 + s + (5*s - 4*s - 11*s)*(s + 1 - 1)) as p*s**2 + a*s + t + c*s**3 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of 7\/3*i**3 + 3*i**2 - 5 + 1\/4*i**4 - 5*i. Give k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10, -56, -132, -238, -374?\nAnswer: -540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i = -i + 8*j - 41, 336*j = -338*j + 671*j - 3 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 1:01 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-77 - -58) + -2 - -51?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 690.1871um?\nAnswer: 0.0006901871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c + 3*c - 4*c)*(-15 - 5*c + 2*c + 17 + 4*c - 4*c - c + (-6 + 2 + 2)*(4*c - 6*c + 3*c) + 0 + c + 0).\nAnswer: -5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**26\/((d\/(((d*d**(10\/3)\/d)\/d)\/d))\/d) assuming d is positive.\nAnswer: d**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.674 + 5.706. Let c = d - 5.1. What is c rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 4 + 3 + (2 - 1 + 1)*(-1 - 2 + 5))*(-119*a**4 + 64*a**4 + 61*a**4) - 5*a**4 + 2*a**4 + 2*a**4 to z*a**4 + s*a**2 + v*a**3 + u*a + r and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 - v + 2. Let g(q) be the third derivative of -q**5\/60 - 5*q**2. Calculate g(c) - n(c).\nAnswer: -2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3302 + 3302 + 8*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1332 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3702 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-3)*w)\/((w*w*w**(1\/3))\/w))\/((w\/(w**(3\/5)*w))\/((w**(1\/10)*w)\/w)))**(3\/2) assuming w is positive.\nAnswer: w**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 84 = 4. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + ((7 - 19) + 2 - -9 - 11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 26. Let h = 9 + -3. Suppose -x - h = -4*p, 4*p = 2*x - 3 - 1. Calculate the remainder when o is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 963137.4 decades?\nAnswer: 9631374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.6583818m?\nAnswer: 658381.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 5*y**2 - 3*y - 2. Suppose 2*r - 24 = 5*o, 0 = 78*r - 80*r - o - 12. Give p(r).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1380.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-2)\/4*-104.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q + 110128 = -19261. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1195 plus 0.0013417376?\nAnswer: -0.1181582624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}